(..)     	the (..) analysis consists of two stages
(..)       (...), , , (....)	the (..) are analyzed in regard to the importance of the (...) parameters, such as the (....)
(..)       	the (..) will be presented in a full version of the paper
(..)    ,     (...)  (....),    ,       [2]	the (..) was introduced to tackle the problem of (...) by (....) and was shown to be very efficient and reliable [2]
(..)     (...)  (....)	the (..) has been investigated with the aid of (...) and (....)
(..)         (...)	(..) has been implemented and thoroughly tested on several (..) problems
(..)    ,   - ,   ...	(..) was first considered by Ivanov and later by Sidorov in the cases where...
(..)    (...)	(..) were normalized to the (...)
(..)         (...)	(..) were plotted as a function of (...)
(..)    12.8 	(..) was reduced by a factor of 12.8
(..)     (...),   (....)	the (..) introduces also a new concept of (...) based on (....)
(..)     (...)	the (..) are much different from those of (...)
(..)    (...)	(..) arises from the (...)
(..)       (...)	(..) is derived by enforcing the solution to be in accordance with (...)
(..)   , ...	(..) is suspect because...
(..)   (...)	(..) are also produced by (...)
(..) , ,  (...)	(..) are, for example, generated by the fluctuations of (...)
(..)      (...)	the (..) are expressed as a linear combination of (...)
(..)  	(..) is not well developed ((..) is not sharply defined)
(..)    	the (..) degenerates to a straight line
(..)    (...)	the (..) is given in terms of (...)
(..)     	(..) is only several wavelengths long
(..)     1  ,  (...)	(..) should be approximately 1 dB less than (...)
(..)    ()  (...)	(..) is achieved by adjusting (optimizing) these (...)
(..)   	(..) have not yet found
(..)   (...)	(..) depends on the (...)
(..)   (...),       	the (..) depends on the (...) to be used for solving the problem (..)
(..)  (...)  (....) 	(..) and (...) are approximated using (....) functions
(..)     	(..) is varied over a large range of values
(..)     (...)	the (..) varies with respect to the (...)
(..)   	(..) have much in common
(..)   	(..) are invariant under rotations
(..)     (..)	(..) are integrated with respect to (..)
(..) ,   (...), ...	(..) were used to find (...) where...
(..)    	(..) is used to simplify the analysis
(..)     	... are employed solely in research
(..)    (...)   (....)	(..) are studied by the help of the (...) model and a (....)
(..)     (...) ,  (....)	(..) would allow the (...) to be studied separately without (....)
(..)       (...)	(..) can be readily expressed in terms of (...)
(..)    (..)	the (..) is modelled by a (..)
(..)   ...	(..) can be measured...
(..)       , ...	(..) may be found from the assumption that...
(..)           (...)	(..) can be uniquely expressed up to scale by (...)
(..)     (...)	(..) can suffer from a degradation in (...)
(..)     (...)	(..) can give information about (...)
(..)   ,  ,  (...)  ,  (....),     (...)  (.....)	(..) can be important where the (...) is desired to be small compared with the (....), or where (...) is required to be mounted on a (.....)
(..)     (...)	(..) may be regarded as a (...)
(..)    (...)	(..) can be regarded (treated) as a (...)
(..)   	(..) may become important
(..)       	(..) may also be used in a slightly different configuration
(..)    -    (...)	the (..) can be taken approximately into account by applying (...) conditions
(..)  12  	(..) are 12 dB smaller
(..)  5  ,  (...)	(..) is 5 dB greater than (...)
(..)  (...)	(..) is called (...)
(..)       	(..) cannot be modelled without special measures
(..)  	(..) are not included
(..)    ,   (...)	(..) has to be reconstructed from data collected at (...)
(..)  (...)	(..) are due to (...)
(..)   (...)	(..) are usually designated by (...)
(..)  (...)	(..) are described by (...)
(..)  (...)	(..) are determined (...)
(..)    (...)	(..) is based on a number of (...)
(..)  , ...	(..) remains unchanged if...
(..)      (...)	(..) differ in phase by an amount (...)
(..)  	(..) are relatively weak
(..)       	(..) is affected by at least three factors
(..)  (...)	(..) are justified by (...)
(..)     (...)	the (..) approach results in a system of (...)
(..)      .1.5  	(..) is diagramatically shown in Fig. 1.5 by the dash line
(..)   .1	(..) is shown in Fig.1
(..)   .1.4,  (...)   	(..) is shown in Fig.1.4 where (...) are shown by the dotted lines
(..)   .1.1	(..) is presented in Table 1.1
(..)   ,   ,  (...)	the (..) is of wide interest because of applications such as (...)
(..)        (...)   ,     	the (..) is an important topic in (....) theory from both mathematical and engineering points of view
(..)     (...)	(..) are of central importance to (...)
(..)     (...) ,          (....)	(..) has been a great interest for (...) because it allows the use of more realistic models in (....) studies
(..)       (...),        (....)  (.....)	the (..) leads to well-known and simple (...), but can only be applied to (....) with (....)
(..)   (...)	(..) result in (...)
(..)   (...)	(..) takes on the characteristics of (...)
(..)              (...)	(..) will illustrate how technical progress in key areas has increased the potential of such measurements for (...)
(..)    ...	(..) manifests itself only under...
(..)    (...)  ...	(..) is situated at a distance (..) kilometers from the...
(..)    (...)  (....)	the (..) are calculated by convolving the (...) with the (....)
(..)    (...)     (....)	the (..) are computed by (...) and will be presented for (....)
(..)     ,  (...)	(..) with time-varying properties due to (...)
(..)    (...)	(..) is a strong function of the (...)
(..)      (...)	the (..) system is the simplest one for investigating (...)
(..)  (...)	(..) becomes (...)
(..)    (...)	(..) are of very different (...)
(..)  ,    ,     	(..) is meant a region whose properties are isotropic, homogeneous and loss-free
(..)    (...)	(..) is also used in (...)
(..)   , ...	(..) indicate that...
(..)    (...)	(..) are encountered frequently in (...)
(..)   (...)	(..) are often referred to (...)
(..)   (...)	(..) are often referred to (...)
(..)    (...)	(..) are often referred to (...)
(..)     (...)	(..) is most used for (...)
(..)    (...)	(..) is effective only in the (...)
(..),    ,   (...)	(..) derived using data acquired from (...)
(..),     (...)	(..) operating for about one year, at the (...)
(..),    (...),   (....)	the (..) measured by a (...) depends on the (....)
(..),        	(..) which are currently in the development phase
(..),      	(..) which we are currently constructing
(..),   ,   (...)	the (..) that we developed are capable of handling (...)
(..),      	(..) that are in close proximity of each other
(..),     (...)	(..) governing the (...)
(..),          t	(..), which are supposed to be monotone at each time t
(..),     (..)   (...)	(..), which provides information on the (..) relationships between the (...)
(..),       (..)	(..) which are difficult to use in cases with (..)
(..),     (..)	(..) which are taken into account when calculating (..)
(..),     (..)	(..) which are invariant under (..)
(..),     (..)	(..) which are optimal to the (..)
(..),    	(..) that is to be optimized
(..),    	(..) which needs to be thoroughly pursued
(..),     (..)  (...)	(..) which minimise the differences between the (..) and (...)
(..),    	(..) in question
(..),  (...)	(..) due to (...)
(..),    L	(..) displaced by a distance L
(..),   (...)	(..) satisfying the (...) conditions
...    	... up to the second order
... ,  (..)  (...)	(..) turns out to be (...)
...,   (..)    (...)	..., in which the (..) are independent of (...)
...,   ...	..., in which case...
...,   (..)	..., involving the measurement of the (..)
...,    (..)	... from which the (..) was measured
...,     	..., having quite enough physical insight
...,  (..) ,   ,      	..., then the (..) problems associated with it are too difficult so as to realize it
...,       (..)	... , which is particularly useful for studying (..)
...,           (..)	..., which increases with increasing complexity and increasing performance requirements of the (..)
...,      (..)	... that can be estimated by (..)
...,       (..)	... which can be used to determine the performance of (..)
...,    10.000  	..., which can be as much as 10,000 wavelengths
...,    (..)  (...)	... describing the interaction between an (..) and (...)
...,   (..)  	... at which the (..) are equal to zero
...,     ,   (..)	... , although a great deal of care is also needed to avoid (..)
...,      (..)	..., that could be applied on the (..)
4    64	the cube of 4 is 64
 (..),       (...),  ,   (....)	the (..) algorithms currently being developed for the (...) project are subject to errors caused by the (....)
    (..),    (...)	results of a computer simulation of the (..) including different types of the (...) are analyzed
       	approximate analytical expressions are compared with numerical simulations
 (..),      (...)  (....)	beyond this (..) there was typically little variation in (...) with (....)
   (..),     	encouraged by the results of the (..) the next generation of instruments is ongoing to be developed
    ,...	due to the appealing simplicity of this concept...
  (..), (...) ...	owing to these (..), (...) can...
      [1-3]	the principles of operation are covered in more detail in References 1-3
           (..),  (...)	most of the existing work in this field has been done using either the (..) or a (...)
          (..)	many of these techniques are based on analytical solutions for the corresponding (..)
            (..)	most of these applications are extremely difficult to optimize with conventional (..) optimization algorithms
     (..)	most studies were performed using (..)
 ,     ,   (..)	the majority of cases reported in the literature relates to the (..)
    ,  (..),     ,  	the standard methods using (..) will be reviewed and special hybrid techniques will be described
   (..)	the importance of (..) will be discussed
   (..)  (...)	the significance of (..) for (...) will be discussed
   (..)   ,     (...)   (....) 	the effect of (..) will be elucidated and contact made with results obtained by using the (...) method to solve the (....) problem
    	several numerical examples will be given
   ,    (..)	some experiments will be presented showing the potential use of the (..)
     (..)	specific reference will be made to the (..)
     ,        	some recent methods that have been used for this most difficult problem will also be described
      (..)	different applications of this (..) will be presented and discussed
     ,    (..)    (...)	numerical examples obtained by applying the (..) technique to (...) will be presented and discussed
  ,    (..),   (...)  (....)  (.....)	an algorithm based on (..) concept has been developed, capable of computing the (...) characteristics of a (....) with (.....)
  , ...	it was concluded that...
     ,     (..)	special studies were initiated to get information on (..)
  (..)	(..) were proposed
   ,            (..)	different approaches have been proposed and some have been justified by comparing results with reliable measured (..) data
 ,  (..)  (...)	(..) have been shown to enhance the (...)
 ,  (..)  (...)	(..) has been found to be (...)
   (..)	it was necessary to develop (..)
    (..)	a preliminary study has been made on (..)
 (..)   ...	in (..) problems it is common to use (...)
 [12]  :...	the Ref. 12 reads as follows...
   ...	in most practical cases,...
    (..)	in much of the literature on (..)
  (..)   ,   	in the following the (..) will be dropped whenever possible
        	in this presentation, some advanced algorithms will be summarized
      (..)  (...)	in this study, we develop a (..) model for (...)
   (..) ,  (...)  (....)	in the current implementation of (..), the (...) is allowed to be an (....)
        (..)   ,   ,          (...)	this paper will review all these aspects of (..) and present results illustrating the benefits to be gained in our understanding of the (...)
       (..)	in this paper results will be presented of an investigation of the (..)
        (..)	in the current paper we dispense with the need for (..)
         (..)	in this paper we extend these results to the case of (..)
     (..)    (...)	in this paper, this new technique of (..) is compared against a conventional (...)
  ,   (..)     ,    (..)	in the present paper, the more general case, where (..) exist, is analyzed by (...) method
    (..)     (...),  (....)	in the present study, the (..) method is applied to a (...) model comprising (....)
   (..)   (...)	incidentally, (..) are also produced by (...)
    ( )	twice as large (twice as much)
   	twice as high
   	half as large {much}
   	half as high
      (..)	indeed, Ivanov's method consists of (..)
     0  50 	over the incident angle range 0 to 50 degrees
      (..)	finally it seems very interesting to use the (..)
     ,    (..)   (...)	finally solutions to the problem are indicated and successful (..) is demonstrated in the context of (...)
 ,      (..)	finally, we will discuss different cases for the (..)
     (..)	finally we will show some (..)
           	some ways for future improvements are outlined in the final part of the paper
       	in each of these experiments measurements were made on the ground of surface
  ,...	as an illustration,...
   ,    (..),  (...)   	as a particular case, if a (..) model is hypothesized, then the (...) can be separated
   ,      ,  (..)	some of the applications to be presented in this paper are (..)
      (..),   (...)	in the design of the latter both (..) and (...) need to be analyzed
  80-  90- ...	in the late 1980s and 1990s...
     ,   (..)     2-3         	claims have been made in the literature that the (..) results in a two to three orders of magnitude speed up in the computation time over the standard numerical integration approach
   k-    (..)	currently k-statistics is well established for (..)
    (..)    (...)	data from the (..) are currently used to monitor (...)
     (..),      ,    (...)      	the measurement of (..) is now well established, but it is only in the last few years that it has become accepted that one of the most effective approaches is to measure only the (...)
   ,   (..)	in our previous paper, the (..) have been treated
  ...	in our case...
        (..)	it will also review the literature on (..)
  ...	in some cases...
      ,     (..)	the review will assess recent measurements which have been made with (..)
    (..)  (...)     	the (..) method of (...) is outlined together with a description of a processing algorithm
           	a comparison of the measured and computed results will be presented in the final version of the paper
       (..), ,       ,       (...)	the theoretical formulation is based on a (..) method which has been shown in previous studies to be an accurate and versatile tool for (...)
 ,  (..)     (...), ...	the (..) method is mainly applicable for the case of (...) when the...
       (..),       (...)  (....)	particularly, we focus on the property of (..), which gives some information to distinguish between the (...) and the (....)
     (..)	this is particularly true for (..)
    ,     (..)	in contrast to other theories our approach takes fully into account the (..)
  (...)    (..)	(..) theory has been applied extensively to (...)
      (..)	the first part of this paper deals with the (..)
       (..)	in a first approximation, this definition applies to (..)
         (..)  (...)	in such cases an efficient model can be derived by using (..) or (...)
   ,    (..)  (...),   (....)  (.....), 	in the latter case it has been thought impossible to simultaneously reconstruct the (..) and (...) with the (....) method or the (.....) technique
    (..)          (...)	in the last years the availability of (..) data has given a valuable contribution to the validation of the theoretical models of (...)
  ...	in the example shown...
 , (..)    ,    (...)	the (..) is in principle the same as that used in (...)
  ,  (..)     (...),    (....)	in contrast to that, the (..) algorithm can be implemented with a (...) without the need for the (....)
  (..)  (...),      (....)	in the past, (..) used (...) that relied mainly on the (....)
 , ...	in the past, when...
      (..)    (...)   (....)	within the framework of this representation the solution of the (..) problem is transformed into the solution of an (...) problem for (....)
    (..)     (...)	within a cooperation with the (...) university, data for (...) are available
  (..)      	to this end, the (..) has attracted the interest of researchers in this field
 , (..)    (...)	as a result, this (..) can manifest itself through a (...)
  ,  (..)      :...	the (..) methods can be distinguished, in turn, in three main categories:...
     (..),      (...)	with the rapid development of the performance of (..), the demand for simulating (...)more exactly is arising
 ,   (..)  (...)   ,  (...)  , ...	in the case that the (..) errors of the (...) are not severe enough, the problem of (....) is not encountered since...
 ...	in case of...
 ...	on the list...
 ...	on average,...
      ,       (..),         	in the paper both methods will be described in more detail, and the (..) problems for which the one or the other strategy has to be selected will be classified
      (..)    	the paper will disclose details of the (..) design and discuss its performance
    ,       ,   	the paper will address the techniques of achieving high accuracy results from numerical solutions
     (..)      (...),  (....)	in this paper we investigate the use of (..) to derive (...) parameters such as (....)
       (..),        (...)  (....) 	the paper describes principles and formulation of (..) method with special respect to differences between (...) and (....) approach
    (..)   (...)	the paper presents the (..) method for calculating (...)
    (..),  ...	the paper deals with the (..) problem where...
  ,...	in such a situation,...
   (  )...	at that date...
  , ...	while...
  , ...	provided that...
  , ...	to the extent that...
  , ...	at that (very) instant...
  	in a desired direction
    (..)	under low (..) ratio conditions
     ,  (..)     (...)	in a preliminary study, we have shown that the (..) is able to deliver information on (:)
 ...	with a view (to)...
      (..)	this in particular is true also for (..)
 ,  ,             (..)	in particular, it will be shown that none of these techniques can be considered to continuously provide correct estimates of the (..)
 ,     (..)	in particular we examine the intrinsic role of (..)
 ,          (..)	in particular, we will expose the results of our model in different cases for the (..)
 ,  (..),   P- (0.45 ),    	in particular, the (..) system, operating at P (0.45 GHz) band has overflown many forest sites
         (..)	in these cases the accuracy in the measurement is usually set by (..)
   (..)    (...)	the model uses the (..) to solve for the (...)
       (..)    (...) ,       (....)	this presentation will review the capabilities of (..) and the useful (...) information which can be derived from such (....)
       (..),  (...),  (....)	in this study, we propose to investigate the (..), which include the (...), as a (....)
     (..)	in this contribution we present (..)
    (..)	in this work (..) is discussed
   (..) ,  (...)	in this paper, (..) is modeled as a (...)
   (..)      ,   (...)	in this paper, (..) are discussed and interpreted by means of a model which represents (...)
       (..)	this paper will review the results of (..)
      (..)   (...)	this paper will describe the advantages of (..) for (...)
     ,   (..)	in this paper, results relative to the (..) will be given
    (..)  (...)          (....)	in this paper the influence of (..) on (...) has been analyzed by using experimental data and theoretical models with (....)
       ,   (..)   (...)	this paper focuses on recent developments in applying (..) techniques for (...)
         (..)   (...)	this paper provides an overview of applications and potential applications of (..) to the design of (...)
      (..)	in this paper, the solution for (..) is given
         (..)	in this paper theoretical and experimental fundaments of the (..) method are demonstrated
    (..)	in this paper, (..) is studied
       (..)	in this paper we provide a critical review of (..)
          (..)	in this paper we investigate and illustrate some general properties of (..)
         ,    (..)	in this paper, we will discuss several numerical features of the method, paying particular attention to (..)
      ,   (..)	in this paper we describe the theoretical analysis for measuring the (..)
           	in this paper we will present our current results and discuss future developments
        (..)	in this paper we will present examples of different use of (..)
        (..),    ,      (...)	in this paper we present results of an analysis of the (..) errors made with algorithms used in the latest (...) project
       (..)	in this paper we present the results of a study of (..)
      (..)	in this paper we consider the problems of (..)
         (..)     (...)  (....)	in this paper we shall briefly review the principles of the (..) technique and consider the interaction between (...) and (....)
    (..),   (...),  ,         (....)	this paper discusses the (..) resulting from (...) and how this can be greatly reduced by (....)
          (..)  (...)	this paper discusses a fundamental approach to extract (..) and (...) parameters simultaneously
    (..)    (...)	this paper describes an (..) approach to analyze (...)
     ,   	we describe in this paper a fabrication process which we have developed
       (..)	this paper describes the rigorous method for evaluation of (..)
      (..),     (...)	the present paper describes a successful example of the (..) from experimentally determined (...) data
    ,     (..)	this paper describes measurements made on a number of such (..)
      , ...	this paper presents an analytic iterative method allowing...
        (..)	this paper presents a detailed theoretical model for (..)
       (..)   (...)	this paper presents the recent development of a new (..) algorithm for (...)
       ,      (..),       (...)	this paper presents the principles of such methods that were initially developed for (..), and proposes to apply them to the case of (...)
     (..)  (...)	this paper addresses the influence of the (..) on the(...)
       (..)   (...)	this paper addresses the possibilities of associating the concept of (..) with the technique of (...)
     (..)	this paper deals with the development of (..)
    (..)	in this paper (..) are addressed
      ,        (..)	this paper reports on a simulation study which has been carried out to evaluate the performance of a (..)
     ,     (..)	this paper reports on an investigation aimed at evaluating the potential of (..)
         (..),  ,      	this paper will be focused upon the system analysis of the (..) algorithm, namely algorithm implementation and system considerations
    (..)      (...)	in this paper, the performance of the (..) is compared to that of a state-of-the-art (...)
    ,  (..)	in this algorithm a technique named (..) is used to estimate the (...)
         (..)	in this study we compare a number of techniques for the (..)
   (..)       (...)	in this respect (..) represents an important input to the (...)
         (..)	in this preliminary study, statistical analyses about (..) have been carried out
  ...	to this effect...
    (..)  (...)	it is important to note the difference between (..) and (...)
 (..)  	the importance of (..) has often been stressed
    ...    (..)	an important consideration in any practical radar design is its (..) performance
 (..)   ,   (...)	this (..) is attenuated by a factor which depends on (...:)
 (..)    (...)	the value of (..) is very sensitive to the (...)
 (..)  (...)   (...)	interactions of (..) with the vegetation components are treated as a (...)
 (..)     (...)   (....)   11 	the effect of (..) was to retain the (...) dependence and reduce the (....) by approximately 11 dB
 , ...	rather than...
 ,     (..)    (...)	instead, here we are assessing novel (..) methods derived from (...)
  ,   (..)   (...), ...	first, we show that some (..) exhibit different (...) when...
   (..)	attention is focused on (..)
  (..)	during the course of (..)
  ...	anyway (in any case)...
      (..)	the second part of the paper discusses, in more detail, the (..)
     ,   (..)     (...)	the second part presents preliminary results concerning the analysis of (..) data as a function of (...)
            (..)	the second part of the contribution will give a first overview on new instrument concepts for (..)
       (..)   (...)	the second part is focused on development of (..) algorithms for (...)
-,        (...)	secondly, a new technique has been developed to accurately estimate the (...)
-,...	secondly,...
-, (..)       (...)	the (..) must be, first, designed and fabricated without (...)
-,       (..) ,       	at first, the present paper points out the expected role of the (..) measurements as well as scientific requirements for these measurements
-,   (..),  (...)  (....)	first, the effects of (..) caused by (...) and (....) are discussed
-,      (..)	firstly, it provides the most direct way for (..)
-,...	first of all,... (firstly,...; in the first place...; to begin with...; foremost...; for one thing...)
     (1.25)	let us square both sides of (1.25)
    (..)   ,  (...)   , ...	a possible explanation for the observed (..) is that the (...) are not necessarily equal when...
 (..)     (...)	the possibility of (..) was eliminated by a (...)
 ,...	broadly speaking... (by and large..., generally speaking...)
      [1]   (..)	this approach was firstly introduced for the (..) case in [1]
 ...	it may will be...
 (..)    (...)	the (..) is subsequently used as a (...)
 ,    ,...	all quantitives entering a given equation...
 ,      ,...	all measurements reported to date...
     	all of a size
  (..)       (...),  (....)	all of these (..) can be treated as a special case of a (...) called the (....)
 ,      ,   ,   (..)  	all phenomena in this field that have been observed so far, are restricted to the class of events where effects from (..) can be neglected
 , ...	due to the fact that...
 ...	thereby...
     (..)	the second objective concerns (..)
 (..)    	the choice of the (..) depends on various factors
      ,          	the choice of the appropriate method depends on the application under consideration as each method presents specific advantages and disadvantages
   ,...	having chosen optimum measurement parameters,...
    (..)      ,  (...)	the benefit of the novel (..) is demonstrated by a number of representative numerical examples using (...)
 (1.14)    ...	eq. (1.14) is written in symbolic notation...
 (..)  (...)	the computation of the (..) takes into account the (...)
  (..)   ,       	(..) will not be reviewed in depth, but the current literature will be reported
     (..)	let us now drop the assumption about (..)
      (..)  (...)	they further showed how the (..) were controlled by (...)
      	further detailed analysis are in progress
    (..)	the present work focuses on (..)
      (..)	this software is based on the solution of (..)
 (..),   ,  ...	the (..) data we used were collected...
  (..)     (...)	(..) data are the base on a study for (...)
  (..),    2014 .,    (...)	data from the (..) acquired in April 2014 are used to generate a (...)
,   (..),       (...)	data collected with (..) will enable us to perform comparisons between (...)
    	several numerical examples illustrate the analysis
 (..)	(..) are given
   ,  (..),   (...),   (....)	it is concluded that (..) when coupled with (...) may provide the (....)
  , ...	the fact is (that)... (the point is..., the thing is...)
  ...	it goes like this...
 (1.5)  (1.6),  (..)	dividing (1.5) into (1.6), we get (..)
     ,   	the design and the realisation of the experimental system is shown and experimental results are presented
 (..)   1/16  (...)	the (..) lengths are approximately one sixteenth of a (...)
 (..)  ,  (...)    (....)	for (..), it has been found that (...) is closely related to the (....)
 (..)      	much weaker relationships were observed with (..) data
 (..)     (...)	for (..), (...) play a very important role
    (..)    (...)	to predict more accurately (..), (...) have been made in detail
    ,    (..),  (...)	to study this effect further and to validate the (..), (...) are used
     (..)    	representative examples will be presented to demonstrate the utility of (..)
  (...)     (..)	various methods are used for investigation of (..) in order to study the (...)
        (...),     (..)	theoretical models for (..) have been applied to the interpretation of experimental data and the construction of algorithms to determine (...)
  (..)       (..)	for the investigation of (..) a theoretical analysis and simulation of a (...) was carried out
  (..)    (...)     (....)	to investigate this (..), it is necessary to simulate the (...) data by using a (....) model
  ,  (..)   (...),   (....);       	to study the effects of the (..) on the (...), each (....) is varied while keeping all the other parameters constant
     (...)    (..)	the knowledge of (..) is relevant to several applications in the fields of (...)
       (..)	to overcome the difficulty (..) theories have been proposed
                	to verify theoretical results and to gather experiences with regard to the feasibility of a practical system an experimental system was designed and built up
         (..)	for simplicity we will henceforth refer to (..)
   Re (  )  	for simplicity the symbol Re (for ) is often omitted
   (..) (...)    (....)	for the development of the novel (..) the (...) is considered as an (....)
    (..)   	further investigations are necessary to extend the results to (..)
  ,   (..),...	for scattering objects consisting of (..),...
   , (..)   ,   ...	to implement this technique, the (..) is configured so that it can...
   (..)    	a wide variety of methods has been developed for the solution of the (..) problems
   ,   (..),    (...)  (....)	to solve these problems, we formulate the (..) method, which consists of the (...) and (....)
 ,  (..)  ,  ...	in order that (..) be useful they must...
 ,   ()...	in order to study...
 ,     (..),...	in order to quantify the influence of (..),...
 ,     (..),...	in order to evaluate the (..) distributions...
 ,   (..)  (...),    (....)	in order to obtain (..) from (...), the (....) must be known
 ,    ,...	in order to reconcile this difficulty,...
 , ...	in order for...
  (..)    (...)	for convenience (..) we shall use (...)
  ...	to this effect...
  ...	to date,...
,  (..)     (...)	it is shown that the (..) agree very well with the (...)
, ...	it has been shown that...
,  (..)  (...)	the (..) are shown to satisfy a (...)
,        	the obtained results are shown to be quite suitable for practical purposes
       (...)   (....)	the long term aim of the current programme is to develop (...) means of estimating (....)
, ...	granting...
 , ...	it is quite interesting that...
 , ...	suffice it to say that...
      	other quantities are accessible through more indirect measurements
    ,   (..) - 	a further complicating factor is that the (..) relationship is non-linear
 ,...	in other words,...
     (..)	also its practical application is limited to (..)
,   (1.12-1.14),  (..)	the units used in Eqs. (1.12) through (1.14) are (..)
 {]...	if... (supposing...)
   (..)	but for (..)
        ...	if the two radiators are supplied with a signal covering a finite spectrum...
   { }...	if ever...
   ,      	there are two important examples that immediately come to mind
 ,   (..)  -  (...)	the (..) values are suspected to be corrupted by the (...)
,   ,  (..)	desirable but not mandatory are (..)
  (..),        (...)	except for a (..), no general method exists to achieve such a (...)
   (..)     (...)	during the last decade, (..) have been extensively used to investigate the (...)
       (..)	during the past decade much has been written about (..)
  10 ...	in the last 10 years...
  15 , (..)       (...)	over the last 15 years, (..) have played an ever increasing role in the study of the (...)
  25     ,  (..)	a large number of papers, providing (..), has been published within the last 25 years
  30      (..)      (...)	during the last three decades the enormous progress in the design of (..) has opened a wide field of applications for this (...)
   ,  (..)      (...)	it has been shown within the last years that (..) data can be useful for (...)
         (..)   (...)	significant advances have been made in recent years in the use of (..) to study a (...)
  ,  (..)    , ,   (...)	in recent years, the use of (..) has been increasing, mainly due to the (...)
  ...	in recent years (during the last years)...
     (....)   ,    (..)  (...) 	in the last few years, a model based on the (..) theory and the (...) algorithm has been developed at (....) University
 (..),...	by providing (..),...
 (..)  (...)   (....)	the (..) problem for (...) is treated by a (....) method
 (..)       (...)	the (..) problem is solved by a general method for (...)
,         (..),   (...)	the most time consuming task in the rigorous analysis of (..) is the evaluation of the (...)
 (..)   (...)	the replacement of the (..) may increase the (...)
 (..),  (50)   (...)	writing (..) equation (50) reads (...)
  (..)     (...)  ,   (....)	then the (..) model will be applied at (...:) to retrieve (:....)
  ,  (..),   (...),     (....)	we then will prove that the (..) confined to a (...) must be an analytic function of the (....)
        (..)  ,      	these data were then combined into the (..) database to supplement the attribute information
,       (..),     (...),      (....)  (.....)	then, according to the results of commonly accepted (..) models, we implemented an algorithm to identify the (...), based on the statistics of the correlation coefficient between the (....) and (.....)
,  ,      (..),     (...)	next, we will show that there are also restrictions on the (..) that the (...) can have
 (..)     (...)	a knowledge of (..) supplies (gives) information on (...)
 (..)  (...)    (....)    	knowledge of the (..) properties of (...) is important for the interpretation of (....) data and for testing models
  ,...	in contrast,...
 ,    (..)  (...),   	finally, we incorporated this characterisation of (..) into an (...) previously proposed by Petrov
 , ,     -  (..)	conversely, what we seek to avoid is the (..)
             (..),  (...)	our final step is the application of the present technique to more complicated (..) problems, such as (...)
  (..)      (...)	and (..) therefore cannot be derived from the (...)
    , ...	and so we may assume that...
,     ,   (..)	the idea behind this paper was stimulated by the (..)
 (..) ,  (...)  , ...	from (..) it is known that (...) is noticeable when...
 (...)      (..)  ,   (....)   (.....)	(..) were extracted from the (...) data and were analyzed to determine (....) in terms of (.....)
  (..) , ...	from the (..) theory it is known that...
  (..)   (...)	from (..) equations one can derive the (...)
  ,    (..),    	it appears that adequate modeling techniques are required in order to take into account the (..)
  ...	it appears from this...
-    ,   ,  , 	due to the great number of parameters which are concerned, only few but significative situations are considered
-   (..)	due to the high probability of (..)
-    (..)    (...),   (....)   (.....)   	because of the lack of measurement of (..) we have developed a (...) model that uses (....) to obtain the (.....) in the most realistic way
- ,    (..)  ,    ,      	because little data on the (..) is available, it was decided to compare the results given by different computer codes
-, , (..)	because of, say, (..)
 (..)    (...)	measuring (..) is important to control the (...)
         ,  (..)   ,     (...),   (....)  ...	measurements and comparative studies arrived to the conclusion that the (..) is the main factor affecting (...) drastically, while (....) is always...
        (..)  (....)	a modelling study has been carried out to identify the potential of (..) for the (...)
,   ,     (..)	there are at least two reasons of such behavior of the (..)
   , ,   2010 ,   	it is the reason why, since 2010, we developed a new theory
     (..)   (...)   	(..) techniques presently available to estimate the (...) have severe limitations
   ,...	with this in mind,...
     (..)   (...)	model simulations allow discussion of the peculiarities of the (..) and to make considerations about the (...)
     (..)   (...)	it is interesting to extend these (..) to (...:)
 , ...	it is of interest to note that...
  (..)     	interpretation of measurement of (..) necessitates a long and thorough investment
 (..)        (...) , ...	using (..) has considerable advantages over using (...) because...
   	the units used will be omitted
 (..),   (...)  (....),   (.....)	using (..) which relate (...) to the (....), (.....) have been obtained
 (..),  ,     ,   (...)  ,  ...	using (..), we will show how differences can be detected, even if the (...) exceeds the value where...
   (..) ,    (...),    (....)      (.....)	using simulation of (..) data based on (...) measurements, estimates of (....) will be given and compared with (.....)
     	the study will be carried out in two steps
  (..)	research focuses on (..)
 (..),   (...),       ,     ,    (....)	investigation of the (..), that depends on the (...), is the problem of interest from both theoretical and experimental viewpoints, especially for (....)
    (..)	studies are directed to the assessment of (..)
  (..)	the problem of (..) is investigated
       (..)	the initial object of the work was to develop (..)
    (..)     ,     	the starting point for solving the (..) is the superposition of two partial solutions, that guarantee a rapid numerical convergence
  (..)	as following from (..)
  ,...	as a matter of experience...
  , ...	reasoning from this fact...
    ,  (..)	each of which may be treated as (..)
...	it seems...
 	it should (would)
 (..),   (...)     (....)	both (..) and (...) are commonly employed to describe the (....)
 (..),   (...),        (....)	both the (..) and (...) can also be conveniently expressed in terms of (....)
   ,...	as will be shown shortly,...
    ,...	strange as it may appear...
 ,...	as is seen,...
  (..), (...)  (....)    	like the (..), the (...) is a (....) of continually varying properties
   ,...	as should be expected,...
 , (..)  (...),       	as well known, (..) is a (...) that occurs in many and different domains of applied sciences
 ...	as it turned out...
  ,...	as stated above,...
  (..) , ...	once (..) has been acquired, the...
   ,     (...)  ,  (..)	once these have been identified it is possible to derive other variables, such as (..), through (...)
   (..),     (...)	once the (..) have been computed it is easy to compute the (...)
, ,...	as... (as, for example,...)
  (..)       ,  , (...)	the canonical problem of (..) finds its application in many practical problems such as the (...)
     (..)	the key point of the whole analysis is the (..)
 (..)   (...)	when (..) in the (...) are included
     (..),  ()    (...),   (....)	when the (..) measurement was considered, it showed a strong influence of a (...:) resulting from (:....)
  ,     ,   (..)	when the physical quantity of interest to be measured requires the use of (..)
   64  4	the cube root of 64 is 4
 ,...	in short,...
    (..)	which is of considerable relevance to (..)
 G,     (..)   ,   (...)	the factor G showing how many times the (..) should be increased so as to produce the (...)
  ,      ,       	besides the activities on the fields, models has been increasingly used, since they are of primary importance to give physical basis to observations
 , (..) ,  (...),    (....)	furthermore, the (..) error due to the (...) is minimized by varying the (....)
 ,   < >,         (..)  (...)	moreover have been developed tending to combine the advantages of the (..) and the (...) techniques
 ,      (..)	moreover, (..) need to be more deeply understood
 ,        (..)	additionally it can be used to determine the optimal number of the (..)
 ,  ,  (..)      (...)	also, (..) would be expected to vary with the (...)
 ,    (..)	moreover, the problem of the (..) has to be considered
  ,   (..)    (...)	it will be readily seen that the ratio (..) is defined in terms of the (...)
 , ...	it is easy to show that the...
 2015 .,    ...	in the summer of 2015, within the framework of the project,...
   (..)  ,      (...)	the rationale for the (..) method is that in many applications (...) is desired.
     	rather it is to take the plus before the radical
    (..)	a better approach is to use (..)
 (..)     ,  ...	the (..) method has its advantages in problems where...
,     (..),...	a technique first employed on (..)...
,       (..),   (...)	a method which has been proposed to overcome the problems of (..) is (...)
,   ,  : ) , ) ,  ) ,     (..)	the technique we use is a) more automatic, b) more precise, and c) better validated than previous similar applications of (..)
 (..),    (...),     -  (....)	(..) techniques usually have poor performances when applied to (...), because of the presence of (....)
 <1/2>  - , ...	the factor half derives from the fact that...
 (..)    (...)      (....)	the simulation of the (..) allows to determine the influence of (...) and to investigate their effects on the (....)
 (..),  (...)   (....)      (.....)	to model the (..), to take the (...) into account or to handle the (....) are challenges for the (.....)
,  ,...	modeling work by the authors...
   (...)  (....)	(..) may seriously degrade the (...) performance of (....)
 ,    (..) ,  ,  (...)	it can be shown that these (..) errors primarily affect the (...)
     :...	we shall use two groups of symbols:...
       ,    (..)	we have studied three specific issues to improve the use of (..)
    (..)  (...)	we can explain this (..) by the occurrence of (...)
    ,   (..)	we begin by deriving a formula that gives the (..)
 ,  (..)      (...)   (....),   (.....)	we have found that (..) seems to be inversely proportional to (...) for both (....) and (.....)
  (..)   (...)	we have described (..) in terms of (...)
 ,           (..)    (...) 	we will show that the theory can be a good help for designing new (..) materials with specific (...) properties
   (..),  ...	from the (..), we have shown that it is possible...
    ,     (..)	we have demonstrated the validity of the process by using it to make (..)
  (...)	we obtain (...)
 , ...	we assumed that...
     (..)	we will present the recent advances of the (..) theory
      (..),   (...)	we present analytical expressions for (..) function based on the (...)
      (..)	we present some numerical results for the (..)
             (..)    	we will show several examples of our analysis, and discuss the potential for deriving additional information about the (..) from this analysis
    (..)    (...)	we perform detailed analyses of (..) as a function of the (...)
  (..)  (...)	we have considered the (..) properties of (...)
  ,         	we intend to demonstrate how the accuracy and efficiency of the algorithm may be improved
     (..)	we have realized a full scale prototype, with (..)
    (..),   (...)	we report on (..) measurements that show the influence of (...)
      (..)   (...)	we will also consider the practicality of using such (..) for (...) studies
  ,        ,     (..)	we shall also consider how such measurements could contribute to the observations required by (..) models
    (..)	at any distance from (..)
  ,...	in my opinion,...
   ,...	as a matter of record...
         , ...	from the results obtained, we can conclude that...
  (..)   (...)	in practice the (..) is usually subjected by (...)
    , ...	in practice our experience indicates that...
 .1 , 	Fig. 1 shows that...
 .2 (..)     (...),  (....)  (.....)	in Figure 2 the (..) is plotted versus (...), where (....) is (.....)
  ,       (..)	as a matter of fact, the reliability of (..) is predominant in both cases
  ,        (..),   (...)	as a matter of fact, there is a strong motivation to consider other (..) in order to achieve (...)
  , ...	on the ground that...
     (..)	as indicated by the large number of (..)
   (..)        (...)	in the design phase of (..), the use of (...) is becoming extensive and increasingly necessary
     ,    (..)	the most important question is how to avoid (..)
      :...	the most important advantages of this new approach are as follows:...
    (..)   (...),         ,  (....)  (.....)	in the (..) domain the (...) method seems to dominate as it is the more suitable to handle problems involving (....) and (.....)
    (..)	the results of greatest interest are (..)
, (..)      (...)	for instance (..) can be derived indirectly from (...)
,   (..) ,  (...)     (....)	for example, the analysis of (..) data indicate that the (...) data is strongly correlated with the (....)
,  (...)   ,   (..)	for instance, a technique based on the use of (..) instead of (...) was introduced
   ,...	among other measurements...
  ,...	for all we know,... (to the best of our knowledge,...)
  (..)   (...)	the (..) scientific objectives focus on the (...)
 ...	as from...
     ,   (..)   (...)	our theory allows to explain experimental results where (..) appears in the (...)
   (..)	our theory involves (..)
     (..)	our purpose is to define (..)
   (..) ,  ...	our knowledge on the (..) is limited, particularly...
   , ...	our simulation results indicate that...
      (..)  (...)	our first and main interest in (..) remains (...)
    	name only a few
   ...	not to mention... (say nothing of..., apart from..., let alone...)
 ...,	apart from...,
 ...	without consideration...
    (..)	recently, a new (..) was proposed
   ,     ,  (..)	recently, a novel, efficient technique to accomplish this task has been developed, termed the (..)
    ,    (..)	a number of experiments, aimed at investigating(..), has been recently carried out
     (..)	recently, there has been an increasing interest in (..)
,   (..),   (...)	recently, with the development of the (..), (...) have been studied
  (..)  (...)	the disadvantage of the (..) method is the (...)
  (..)     (...)	some recent (..) allow the user to specify (...)
     , ...	some experimental results indicate that...
    (..),     (...)	(..) have been proposed by some authors whereas others use (...)
 , ...	it should be noted that...
 , ...	it must be stressed that...
      (..)   (...) 	a necessary step in evaluating the usefulness of (..) is to measure (...) properties
    ,           	despite of much work, a complete theoretical approach for this very difficult problem is still lacking
   	for all that
       ,  ,        ,  	although certain methodologies seem to dominate in specific domains no general method exists providing best results in all cases
      ,    (..),            (...)	although preliminary and limited to (..), the results seem indicative and can strongly help the interpretation of (...)
  ,        (..),   ,       (...)	although this technique provides a practical solution to the (..) problem it is limited by certain arbitrary assumptions about the (...)
  , ...	despite the fact that... (while...)
   ,...	despite the differences,...
 ...	despite... (notwithstanding..., regardless..., in spite of...)
         (..),  (...) ,   (....)	none of them can be applied directly to the (..), because (...) are superposed to give a (....)
  , ...	but it is also possible that...
,        (..)	but these problems seem to be solvable by using (..)
  (..)     (...)	the new (..) approach extends effectively the application range of (...)
     (..),    (...)	both approaches are unified in the (..) theory, and require the definition of a (...)
     (..)	both methods have been successfully applied for the (..)
        (..)	both approaches assure good accuracy of results even in (..)
          ,    , ,      	a review of that research has been performed by one of the authors in order to select a solution acceptable from a physical point of view and with a reasonable software complexity
  (..)       	the generalization of such (..) leads to more flexible and efficient techniques
  (..)    (...) , ,     (....)	the (..) under discussion here is measured on the scale of the (...) and hence may be considered to be (....)
  (..),      (...),      	general aspects of (..), as well as the discussion of the validity of the (...), is out of the scope of this paper
  (..)  	typically (..) measurements are carried out manually
            ,  	the methods commonly used consist in finding statistically valid relations between that are quantities measured and the ones to be estimated
  ,   (..)	a typical result shows that for (..)
       (..)	one such novel technique is based on (..)
      , ...	one of the major difficulties is that...
    ,  (..),        (...)	one of the objectives of scientific research performed by the (..) is to develop and investigate methods for the determination of the (...)
 (..)   ...	however, the (..) shows peculiar behaviour...
, (..)    ,   (...)	however, the (..) approach suffers from difficulties associated with (...)
, (..)    	however, the (..) must also be known
,   (..)    (...)	however, a more accurate (..) is obtained by taking into account the (...)
,   ...	in most cases, however,...
,    (..)  (...),        (....), ...	however, (..) theory is based on (...) which can be invalid for certain cases of (....) where...
,      (..)	in this paper, however, we use the (..)
,      (..)   (...)	however, even under the most favourable conditions, (..) not exceeding (...)
,        (..),   (...)	however, in order to analyze the (..) models more precisely and rigorously, it is required to utilise the (...)
,      (..), ...	if, however, there is more than one (..),...
,     , ...	during the last years, however, it became evident that...
,   ...	during the last years, however,...
, -    ,      (..)     	however because of the mathematical complexity of the algorithms, many semiempirical approaches have been used to develop some simple (..) relationships
,           , ,  (..)	in practice, however, this could well conflict with other requirements, such as (..)
,  ...	it is not clear, however,...
,   , ...	recent research has shown, however, that...
,   ,  (..)  (...)  (....)	however there appears to be (..) between (...) and (....)
,   ,  ,    (..)     	however by inspecting the simulations, we found that this inequality in (..) did not make a significant difference
,    , ,  (..)  (...)	however, the model is also relevant to (..) and (...), for example
,    -       	however, the performance can still be improved by carefully designed processing techniques
        (..),   (...)	one of the important aspects of the whole subject is the (..) required to (...)
       ,          	an important advantage of this technique is that very little specialized equipment is needed to perform the measurements
    (..)     (...)	one of the key aspects of (..) is its behaviour in (...) situation
    (..)    (...)	one way of avoiding the (..) solutions is to use the (...)
    (..)   (...) , ...	a consequence of the (..) description is the occurrence of (...) solutions when...
    (..) ,      ,    ,  (...)	one of the fundamental (..) parameters and, at the same time, the easiest one to be measured is the (...)
      (..)	one of these techniques is the (..) method
        ,   (..)	one possible solution of the problem is to use the (..)
,  (..)     (...)      	(..) is expected to improve the efficiency of (...) for at least two reasons
       (..)	it can be usefully exploited to investigate the (..)
 {}  4  	it started about 4 years ago
         	they are also well suited for optimization of problems with many parameters
 (..)	(..) is described
 (..)    (...)    ,   (....)  (.....)   (......)	determining (..) from measurements with (...) can not be done easily, since the (....) is caused by (.....) as well as by (......)
 (..)   (...)	(..) definition applies to (...)
     (..)      (...)	a key idea was to write the (..) as an exponential functional of (...)
      (..)	the basic idea of the novel method is explained for (..)
      ,     (..)   (...)	the main purpose of this paper is to show the importance of the (..) for the calculus of the (...)
       (..)  (...)	the basic aim of this approach is to extract (..) from the (...)
      (..)	the main part of the efforts has been devoted to the development of a (..)
      (..)	the research focus was concerned with the(..) (the research focus was on (..))
        (..)	the basic difference between these two approaches is associated with the (..)
   (..)  ,  (...)   	the main limitation of conventional (..) is that the (...) happens to be a constant
     (..)	the main advantages of this formulation are that the (..)
      (..)	the foundation to the statistical model is (..)
    (..)  (...)	particular attention is paid to the effect of the (..) on the (...)
,      , ,      ,    	note that there is not a mathematical criterion for this choice and then, this choice must be made according to physical reasonings.
, ...	it has been noted that...
 (..)    	(..) has also been reported by several investigators
 ,   (..)	it appears that there is a (..)
,    (...),   (..)	hence (..) may be obtained as a result of using (...)
 (..)      (...)	the (..) can be estimated by using a (...)
,  (..)   (...)	(..) appears to be the result of (...)
,       (..)	the most popular criterion of choice seems to be the (..)
,         ,   (..),     (...)	the agreement with experimental observations seems to be good when concerning (..), but not in the (:) case
,         (..)  (...)	such an approach seems to be well appropriate to classify different (..) in (...)
, ...	it is obvious that...
 (..)	(..) are outlined
   (..)    (...)	the error in (..) estimates is known as the (...) error
          (..)	the first part of the contribution reports the status and applied technologies of (..)
    ,        	first results of the validation indicate that the models considered provide reliable numerical predictions
    (1.1)   (..)	the first term on the left-hand side (1.1) represents the (..)
  ,...	to my mind... (in my opinion...)
  ,...	according to our reckoning...
        ,  (..), 	it has become common consensus that novel, entirely (...) methods need to be sought and developed
  ,   (..)   , ...	it is experience of the authors that the use of (..) techniques is most efficient when...
    (..) , (...)     (....),   (.....)	in contrast with other (..) methods, the (...) is accomplished from (....) rather than (.....) data
      (..)      ,   (...)	for this reason, a recently developed technique of (..) is now extended to include the (...)
-, 	it seems not
-,...	it seems...
 (..)   (...)	(..) behaviour in a (...) condition
  	at a right angle
  ,     (..)	the interest arises from the ability to retrieve (..)
     [4]	further details of the prototype system are given in Reference 4
  , ...	detailed studies have shown that...
 (1.10)  (1.9)  (..)	substituting (1.10) in (1.9) gives (..)
,...	on reflection,...
 (..)           (...),      (....)	whilst (..) has considerable potential to provide much of the required information on (...) most attention has focused on the use of (....)
    (..),   	only one (..) addressing these problems has been proposed so far
       (..)	a useful and interesting case to consider is the (..)
  (..),  ,  (...),  (....)	the total (..) error, including that due to the (...), is determined by (....)
 (..)	(..) are obtained
     (..)	the results obtained so far are relevant to a (..)
      (..)	the obtained results are compared with other existing (..)
 (..)    (...) -    (....)	the understanding of the (..) is a crucial problem of (...) because of its potential in (....)
     (..)	let us try to summarize the situation with the problem of the (..)
      (..)	a striking increase in efficiency is achieved by (..)
 (..)      ,     (...)      (....),    (.....)	as (..) are becoming more and more reliable and efficient, the possibility of using these (...) not only for the (....) but also for the (.....) is becoming available
  (..)  (...),      (....),    (.....),   (......)	because the (..) requires (...) which cannot explicitly be related to the (....), it is replaced by an (.....) which employs only (......)
  (..)     ,  (...), (....),  ..,       (.....)  (......)	many factors affect this (..) such as (...), (....), etc., so that in these cases (.....) can not be obtained without (......)
    (..),     (..),       (....)	since we require only (..) with no additional requirements for (..), the technique is better suited for (....)
(..)      ,...	since (..) may vary within extremely broad limits,...
  (..)      (...)	after performing a (..), the problem is reduced to finding the solution of a (...)
   ,     (..),       	after a theoretical study which assesses the validity of the (..), an extensive computer simulation of the technique has been performed
     (..)   (...)	recent advances in (..) technology have made possible the (...)
      (..)	recent studies showed that it was possible to discriminate some (..)
    , ...	recent studies indicate that...
  (..)  	the importance of (..) was gradually recognized
  (..)  ,  ,     (...)	the design of (..) theories is an iterative, evolutionary process based on experience and (...)
   ...	in nearly all the cases...
     (..),     (...), , ,      (....)	therefore, this paper presents (..) which are formed exclusively by (...) and, therefore, can be efficiently analyzed by (....)
     ,  (..)  ,       (...)	as a first approximation, therefore, the (..) are assumed to be so small that they can be treated as (...)
  ,    (..),...	therefore, to avoid consideration of (..),...
  (..)      (...)	therefore, the problem of the (..) can be solved analyzing (...)
       (..)	therefore, it is of practical importance to know the (..)
   (..),  (...),     (....),  G -...	therefore, the equation for (..) due to (...) may be written as (....), where G is the...
 (..)  (...)    (....)	the occurrence of (..) in the (...) can influence the (....)
 (..)   ,         (...)	the appearance of (..) is a severe problem which plagues a variety of numerical methods for (...)
   (..)     	the application of the (..) methods will be demonstrated by several examples
  ,    (..)  (...)	a preliminary analysis revealed that the main limitation of (..) is the (...)
       , ...	the preliminary conclusion from this work is that the...
   (..)	the point at issue is (..)
    (..)	the subject of this paper is (..)
,  (..)    (...)	(..) is assumed to be violated only for (...)
,  (..)  (...) ,   (....)	it is assumed that the (..) is (...) everywhere except at the (....)
,  (..)      (...)	the (..) is assumed to be inhomogeneous with respect to (...)
,    (..)         (....) 	the correlation function of the (..) is assumed to be exponential and has different correlation lengths in the (....) directions
, ...	it is assumed that...
  (..)   (...)	the assumption of (..) leads to (...)
,       (..),...	the assumptions underlying the model (..)...
 , ...	suppose also that...
,   ...	let us suppose that the given equation...
   (..)	a method of analysing (..) is presented
    ( ,     (..)) (...),   (....)	the presented solution allows to determine (with the accuracy, which depends on the number of (..) taken into account) the (...) as well as (....)
  ...	results presented here...
     	the results presented have a high degree of generality
 (..)           (...)	the presented (..) can be considered as first step into the direction of a new class of (...)
     (..)   (...)	the method presented here is a generalisation of the (..) to (...) case
 (..)   (...),    (....),       (.....)	the (..) and the corresponding (...) are presented and (....) are given that allows a very accurate determination of the (.....)
    (..) 	basic concepts using (..) methods are presented
  (..),   (...)	(..) results are presented based on the (...)
 (..)	(..) are presented
  (..) , ...	previous studies of (..) have shown that...
  ,     (..),     50%	previous studies have shown that errors as large as 50% can result, depending on the (..)
   , ...	previous simulations have shown that...
 , (..)      , ...	above all, (..) were classed according to how the...
 ,...	to start with...
, ...	before...
     ,  (..) ,  (...)	the advantage of this design is that the (..) is less than an (...)
    (..),   (...)   (....)	with the growing use of (..), it is more reasonable to describe the (...) in terms of (....)
     ,       	various assumptions are made in the following analyses to enable the effect to be analysed in isolation
    (..),...	in identifying and classifying (..)...
  (..)  ,  (...)     	using (..), it will be shown that the (...) can be retrieved with good accuracy
    (..)     (...)	by exploiting the high sensitivity of an (..), it is intended to make precise measurements of (...)
     [3,7] , ...	in the discussion of their results the authors [3,7] showed that...
  ,  (..) ,...	under normal conditions, where there are no (..),...
   (..)	at the bare mention (..)
  	under different conditions
   (..)  (...),      	when considering the effect of the (..) on the (...), the above equations can be simplified
  (..)	during solving (..)
   10 /	at 10 m/s wind speed
      ...	by comparing measured data to the model...
  (..),        	at (..), the model and instrument observations are in good agreement
 , ...	given... (always supposing...)
 ... (..., ...)	subject to...
 ... ( ...;    , ...)	provided that...
        (..)	under the circumstances, we cannot ignore the effects of (..)
      (..)	examples are given using realistic parameters of (..)
 ,     	examples illustrating the characteristic features of both approaches are included
          (..),     	a comparison of theory and experiment is presented to validate the (..) model developed by Ivanov and colleagues
,      ,    (..)	applications where these models become relevant occur in modelling of (..)
  	whereas
, ...	by convention,...
 (1.8)  (1.11)    (..)  (...)	equating (1.8) and (1.11) and solving for (...) yields (....)
 (..)     	the (..) problem can be formulated in several ways
,  (..),   	problems involving (..) have been studied by different authors
  (..)     (...)   	the effect of (..) is tested and the failure of the (...) under given conditions are clearly illustrated
  (..)  (...)	the simplest case of (..) is (...)
    ...	a simple example will serve to demonstrate how...
    (..)	the analysis procedure is based on a (..)
        (>70%)   	the percent of cases correctly classified was surprisingly good (>70 %) for each class
      (..)  (...)	the fabrication process imposes no restrictions on the (..) and (...)
  (..)	let there be (..)
  (..)  (...)	by replacing the (..) with the (...)
   ,...	by using the proposed procedure,...
  (..)  (...)	by averaging the (..) over the (...)
   , ...	for sake of simplicity we assume that...
  (..)  (...)	the difference between (..) and (...)
       (..)    (...)     	the developed semi-empirical model can be employed to retrieve (..) parameters from (...) data using the statistical inversion approach
      ,    ,  (..)  ,  (...)   (....)	the rationale of the approach presented is that, if we assume that the (..) can be ignored, the (:) is a sum of (.:)
  , ...	it has been remarked earlier that...
,  (..)    (...)  	the capability of (..) to classify (...) has not earlier been demonstrated
     ,  (..)	key parameters for the system are considered, including (..)
 (..),  ,  (...)     (....)	considering a (..), it is possible to prove that the (...) changes depending on the (....)
     	let us consider each of these factors separately
  ,       (..)	the discrepancy is too large to be accounted for by (..) effects
 (..)	computing the (..)
  (..)     (...)   	the implementation of these (..) enabled the actual use of the (...) in industrial design practice
  (..),   (...)   (....)  (.....),...	the actual (..) value, at which the (...) is a function of the (....) and (.....),...
 , ...	the results show that...
      	the results of computations agree well with measured ones
      (..)	comparisons clearly show how (..)
,    (..),  	results gained in the (..) range are less good
,      ,  (..)	the results obtained with this software has confirmed the (..)
           (..)	the resulting solutions are exact and can be explicitly written in (..) formulation
      (..)	the solution has been obtained by means of the (..) method
    (..)    (...)  (....)	several experiments are being carried out in (..) to investigate (...) sensitivity to (....)
  , (..),   (...),     ,   ,     	on the other hand, (..) which are based on (...) are numerically very costly and furthermore convergence is often not guaranteed
  ,      (..),  (...),       	on the other hand, the potential and limits of available (..) data such as (...) must be addressed in view of operational applications
  ,   (..)  (...)	on the other hand, in order to characterize the (..), the (...) are computed
  ,  (..),  (...)   (....)     (.....)	on the other hand, if the (..), then the (...) decreases and (....) is reduced from the point of view of (.....)
  ,  (..)     ,  (...) 	a change of (..) on the other hand takes place if and only if (...) is changed
  , ,  ,    (..),   (...)	on the other hand the method used by Sidorov is based on the (..) concept which allows the (...)
  ,...	on the other hand,... (again...)
        (..)	with this technique the so called (..) function is obtained
 , ...	in order to...
   (..),...	from the viewpoint of (..),...
     (..)	to this aim, a study of (..) is conducted
  , ...	it goes without saying that...
 ,...	besides,...
 (..)      ,          (...),  (....)	the properties of (..) have recently stimulated a great deal of interest because of their unique features and their potential use in (...) such as (....)
         ,  (..)	now all these models are being validated by comparisons with measurements using (..)
  ,      (..),    (...),   (....),  ,   (.....);          	it is now clear that a (..) based on the (...) rather than the (....) will have significant advantages, especially when (.....) are used, and current work is focused on this issue
,     (..) , ...	now that the main elements of (..) theory have been set up, we...
, ,...	let us say...
, (...)     (..)	hence, by searching for the (..), one can compute the (...)
,   (..)       	therefore simulation is first going to be performed in the case of (..)
,    (..)	hence, there is a need for (..)
,   (..) ,  (...),       (....)	hence (..) errors due to (...) might be avoided and this would be advantageous for (....)
,   (..)	it is therefore necessary to consider (..)
,    (..),   (...),    (....)	therefore there is no need to have an (..) to obtain (...) which are necessary for the (....)
,          	the result is therefore more complicated and requires deeper scrutiny
,          	therefore the solution can be obtained via minimization of a global functional
     (..)	the next step is to retrieve (..)
  ,     (..)	following this criterion, the analysis will be extended to (..)
  , ...	collected data proved that...
 , ...	the plain truth (fact) is that...
 (..)        k-	the (..) data sets are the basis to prove k-statistics in more detail
  ,   (..)  (...),    	current theoretical models that calculate the influence of (..) on the (...), agree with our measurements
   (..)	let us agree to call this a (..)
   ,  (..)	as informative as (..)
   ,         ,       (..)	the comparison of the simulated data shows that the results are in good agreement with both available experimental data and proposed (..) models in the literature
      	comparison with experimental results shows good agreement
 ,...	among other things,...
  ,     (..), (...)    (....)	among the various techniques used to investigate the (..), (...) can be used to (....)
 (..)  -, ...	statistics of (..) is non-Gaussian if :
  (..)	the paper ends by (..)
    (..)	the paper begins with the discussion of the (..)
,   .4,...	the scheme illustrated in Fig.4,...
  (..)	as judged by (from) (..)
     (..)	there are different models for the (..)
       	there are also the other ways to get solution of this problem
       (..)	the existing theories work only for a small range of (..)
     ,  (..)	a similar situation could also arise due to (..)
    ,    (..),   ,      (...)	as the different factors on which (..) depends are difficult to estimate at large scale, we will link them to (...:) data
,          (..)	as an example, the analysis above is used to investigate the (..)
,      (..)	so that they can follow the (..)
      ,    (..)	the potential additional information available from (..) techniques will also be evaluated
         (..)	computed results on some realistic (..) will be also provided
      (..)  (...),    (....)	a new improved numerical approximation of the (..) for the (...) is also introduced that makes it possible to perform the (....)
         ,  (..), (...)  (....)	the effect of possible error sources such as (..), (...) and (....) are also included in the simulations
  (..)	(..) are also discussed
  ,   (..)	an analysis is also made which takes into consideration some (..)
 , (..)   (...)	thus, (..) affects the (...)
 ,  ,     (..),    (...)	to assess and monitor (..), a knowledge of the (...:) characteristics is thus required
 ,  ,  (..)    (...)	one thus expects the (..) to be independent on the (...)
 ,      (..)   (...)  ,      (....) 	thus we cannot solve the (..) problem for each (...) separately, but must solve for all (....) simultaneously
 ,  (..)  (...)     (....),   ,        (.....)	therefore, since the (..) and the (...) indicate the relationship between (....), it is expected that these quantities will be less sensitive to (.....)
     (..)	accompanying this change is a reduction in (..)
    (..)	such an expansion is able to account for the (..)
   	it is the first time such an effect is predicted
  ,  , ...	however, one might claim that...
   ,  , ;      [2, 3]	the theoretical considerations are supported by simple, easy to check examples and reference to examples from (..) is made
      ,   (..)	theoretical and experimental results are presented to show (..)
 (..)     ,  (...)   90-    ,  (...)	theories on the (..) have been published three years ago, and (...) have been investigated since the nineties for applications as (....)
      ,        	the theory cannot totally avoid experimental work but it can significantly reduce the number of experimental attempts
  3   	the thermometer reads 3 degrees above freezing point
 ...	that is...
,   -   ,    , ...	that this is a general result can be seen from the fact that...
 (..)   (...)	the (..) is then given by (...)
 (..)  (...)	then (..) and (...)
 (1.20)  (1.20)   (..)	then (1.20) and (1.20a) will take the form (..)
,  (1.19),  (..)	then, using Eq. (1.19), we have (..)
,  (..)  (1.20),  (...)	then, putting (..) in Eq. (1.20), we get (...)
    (..)   (...)	equivalently one may consider (..) to be (...)
   ,    ,     (..)	the same technique, with some differentiations, can be employed in (..) applications
 (..)        (...)	the accuracy of the (..) can be significantly increased by integrating along the (...)
 (..)   (...)	traditional (..) are based on (...)
       (..)	we possess no clear conception of the nature of (..)
  (..)  (...)	it is convenient to express (..) in (...)
     (..)  (...)	the (..) and the (...) methods are capable of fulfilling these requirements
 , ...	it has already been noted that...
 (..)	(..) are listed
 (..)  	the reduction of the (..) by an order of magnitude
 , ...	it is relevant to note that...
    (..),  (...)	the emphasis is on (..) problems which require an (...)
 (..),     (...)  0.0001%	taking into account (..), the accuracy for (...) determination better than 0.0001 per cent can be received
 (..)       (...)	the statement of the (..) is not simple even for the case of (...)
   (..)        (...),       (....)	the performances of this (..) algorithm are currently studied by comparison with the (...), and the influence of (....) will be evaluated
      , ...	the characteristic feature in all these applications is that...
 ,  (..)     (...)	it is well known that the (..) is highly sensitive to the condition of the (...)
 ,   , ...	thus much at least is clear...
 (..)   (..)  (...),      (....)	although (..) have been obtained for the (...), they have not yet been obtained for the (....)
  (..)   ,     	although considerable progress is made in (..), no true break-throughs were reported anywhere
  (..)       (...),    {}, -  (....),    	although the effects of (..) may be minimized through the use of (...) the potential of the latter has yet to be fully realised due to the lack of a (....)
 ,    ,   ,         	though the methods used in these investigations look different, they are, in fact, the same
       (..),     (...)	although early impetus was gained through the use of (..), most of the later developments have involved (...)
  (..)     ,        ,    (...)  (....)	although the problem of (..) has been investigated for many years, theoretical solutions exist only for a limited number of cases, which correspond to some combinations of (...) and (....)
      (..)    ,  (...),(....)  (.....)	the study objectives are to investigate the (..) influence on different parameters such as (...),(....) and (.....)
             	the objective of this analysis is to validate the model by comparing theoretical predictions with observations
       (..)   (...)	the objective of this study is to evaluate the feasibility of (..) for estimating (...)
       (..)    	the purpose of the study is to extend the problem of (..) to a more general case
      (..)     (...)  ,  (....)  (.....)	the aim of the present work is to consider the (..) by the above mentioned (...), in the case where the (....) are characterized by (.....)
      (..)	the object of the paper is to investigate (..)
       (..) 	the aim of this paper is the systematic presentation of the (..) technique
        (..)	the purpose of our study was to obtain information about (..)
         (..)  ,   ...	the aim of the study presented here is to use the information on (..) to infer...
      (..)  (...)   (....)	the purpose of this paper is to obtain the (..) for the (...) by (....)
    (..)	aim of this paper is to discuss the (..)
,     (..),   ,     (...)  	the price to be paid for a (..) is that (...) fails under certain conditions
 ,    (..),   (...),         (....)	the value of the data acquired by (..) is greatly limited by (...), and so it is difficult to acquire useful data for (....)
  ...	the passage qouted reads as follows...
  (..)   ,    .1	a particular case of (..) allows to get the case presented in Fig.1
      (..)	numerical results are illustrated as a function of (..)
      ,...	numerical results are illustrated for various angles of incidence,...
      (..)   (...)	numerical simulations confirm the observed differences in (..) for various (...)
   ,...	to satisfy a chosen objective,...
     (..) ,...	to better judge practical possibilities of (..) methods,...
   ,      (..),       (...)	to increase our understanding on issues related to topics such as (..) accurate up-to-date information on (...) is required
  (..),    (...)  (....)	to determine (..), it will suffice do multiply the (...) by the (....)
    (..)  (...)    (....)  (.....),...	to determine the numerical values of (..) and (...) in the expressions for the (....) and (.....),...
   (..), , ...	to show the effect of the (..), we shall assume that...
  (1.22)  (..)	to apply Eq. (1.22) to (..)
   (..)  (...),       	to account for the (..) effects for (...), a theoretical model has been recently developed and implemented
       (..)	the widespread applications cause the need to determine (..)
     (..)   (...)	the experimental data were obtained on the (..) test range of (...) laboratory
  ,  (..)    (...)	the experimental data confirm that (..) is much higher than that of (...)
 ,   ,    	experimental measurements using this procedure are in progress
     ,  (..)	this information includes basic variables such as (..)
    (..)	this model has been used for (..)
      (..)	this challenging task impacts the (..)
   (..)	the paper is devoted to (..)
      <> 	this theory will serve as a basic building block
    (..)	this view is substantiated by (..)
 (..)    	these (..) have a clear physical sense
 (..)     (...),   (....)	these (..) observations have been compared with a (...) model based on the (....)
 (..)    (...)    (....)	these (..) show how effective (...) can be in (....)
 (..)    (...)	these (..) are useful in characterizing (...)
       (..),     (...)	these quantities depend not only on the type of (..), but on the (...) as well
          (..)	these closed-form expressions are obtained from the asymptotic formulas for the (..)
        (..)	these equations can be greatly simplified by use of (..)
     2013    (..)	the data were obtained in 2013 during the (..)
   (..)	these data describe (..)
      ,      (..) ,     (...)	these measurements are essential in monitoring and understanding complex (..) processes noteworthy in the context of (...)
      (..)  (...)	these methods could be subdivided in (..) and (...) methods
         	these methods are much faster than the usual methods
     (..)	these observations will be considered for (..)
             	these parameters may be retrieved by doing a non-linear least squares fit of the model to the data
     (..)  (...)	these parameters vary smoothly from (..) to (...)
      (..)	the results are interpreted in terms of the (..)
       (..)	the results can be used in analytical modelling of (..)
    (..),      (...)	the results are reflected in (..), which can be helpful for (...)
    ,   (..)  (...)	the results are compared to those obtained from (..) and (...) techniques
          	these considerations will be illustrated using laboratory and/or computer simulations
      (..),       (...)  (....),     (.....)	these theories work quite well at (..) but they cannot describe the properties of the (...) at (....) because they do not take into account the (.....)
  : (1)...; (2)...; (3)...	these factors are (1)...; (2)...; and (3)...
   ,    (...)  (..)	this has been done by the authors using the (..) method to calculate (...)
    (..)	this entails (..)
        (..)	it makes difficult achieving very wide bandwidth in (..)
    	this value becomes rather better
    (..) ,   (...)	the research is based on (..) data acquired in (...)
     , ...	it is intended to be read...
  	it is not a case
 	it is common knowledge
 , ...	this indicates that...
 ,     (...) ,  ,  (..)	this implies that (..) methods are generally needed to recover (...) estimates
  ...	this will enable us...
        (..)	the difference shows no trend with (..)
    (..)	this expansion allows to consider a (..)
    (..)  ,    (...)	this is done by using (..) in order to eliminate some (...)
       2014 	the solution was presented at symposium in 2014
      (..)	this is related to the problem of properly defining (..)
    ,    (..),    (...)	the comparison has shown a good agreement, in particular for (..) observed in (...)
   	it takes all the difference
   (..)	this calls for knowledge of the (..)
   ,  (..)     (...)	this indicates that the (..) has an important effect for (...)
  ,   (..)	this equation is simplified by assuming a (..)
     (..)	this is the basic principle of operation of the (..)
    	this is sufficient for many applications
 (..)    (...)	this (..) is quite efficient in (...)
 (..)   (...),    (....)	this (..) is dependent on (...) as well as on (....)
 (..)     (...)	this (..) is most often used in (...)
 (..)     (...)	this (..) required rather detailed knowledge of the (...)
      (..) ,  (...)   (....)	the algorithm was originally proposed in (..) project concerning (...) algorithms for (....)
    (..)	the algorithm is based on the (..)
    (..),    (...)	this algorithm takes the effects of a (..), resulting from (...), into account
         (..)	this conclusion has been obtained from the calculation and measurement of the (..)
     , ...	this criterion is more or less justified when...
         (..)	this method can be successfully applied to (..) problems
       (..)	the method is discussed and validated using the (..)
    (..)      (...)	this technique permits the (..) without the requirement to build a model of the (...)
      (..),  (...)	the method is rigorous in the (..) sense, taking into account the (...)
     (..)	this deficiency can be repaired by a (..)
  (..)       (...),    (....)	this (..) parameter can be directly calculated from (...) data collected simultaneously at (....)
        (..),      ,  	this improved algorithm allows to identify one more class of (..), which was not at all taken into account in the previously published literature
     (..),    (...)	this fact would not be in contradiction with the (..) if the (...) was considered
  ,  (..)   (...)	this fact implies that (..) must be (...)
     ,  (..),       (...)	this fact together with the knowledge that the (..) constitute the only a priori information about (...)
   (..)      (...)	this step makes (..) ideal for optimizing (...)
      (..)	this problem can be avoided by using the (..)
     	this is sufficient for many applications