$#C+1 = 94 : ~/encyclopedia/old_files/data/T092/T.0902360 Tensor analysis
A generalization of [[Vector analysis|vector analysis]], a part of [[Tensor calculus|tensor calculus]] studying differential (and
11 KB (1,607 words) - 08:25, 6 June 2020
$#C+1 = 209 : ~/encyclopedia/old_files/data/S084/S.0804600 Sequential analysis
The basic principles of sequential analysis consist of the following. Let $ \xi _ {1} , \xi _ {2} \dots $
18 KB (2,425 words) - 14:55, 7 June 2020
$#C+1 = 243 : ~/encyclopedia/old_files/data/D033/D.0303340 Dispersion analysis
...icultural crop yields a maximal harvest. Modern applications of dispersion analysis embrace a wide scope of problems in economics, sociology, biology, and tech
23 KB (3,288 words) - 19:36, 5 June 2020
$#C+1 = 215 : ~/encyclopedia/old_files/data/C023/C.0203250 Combinatorial analysis,
...atorial configuration. One can therefore say that the aim of combinatorial analysis is the study of combinatorial configurations. This study includes questions
28 KB (4,167 words) - 17:45, 4 June 2020
$#C+1 = 31 : ~/encyclopedia/old_files/data/I052/I.0502080 Interval analysis
...ne has not solved the problem. To overcome the latter problem, an interval analysis with structures of probability theory has been developed (cf. [[#References
5 KB (677 words) - 22:13, 5 June 2020
...rete mathematics and discrete analysis. In what follows the term "discrete analysis" is understood in the wide meaning of the word, including discrete mathemat
As distinct from discrete analysis, classical mathematics deals mainly with continuous objects. The choice bet
9 KB (1,264 words) - 16:56, 15 April 2012
$#C+1 = 75 : ~/encyclopedia/old_files/data/C110/C.1100250 Clifford analysis
...also [[Hypercomplex functions|Hypercomplex functions]]), renamed Clifford analysis in the 1980s, when it grew into an autonomous discipline.
9 KB (1,297 words) - 17:44, 4 June 2020
...nstructed by specialists in the area concerned with the problem. Numerical analysis is concerned with devising methods for approximating the solution to the mo
...n lead to significant errors in approximation. The discipline of numerical analysis involves the design of techniques that take these and other error-producing
29 KB (4,373 words) - 17:21, 2 January 2021
$#C+1 = 39 : ~/encyclopedia/old_files/data/A110/A.1100490 Algebraic analysis
...es|[a3]]], [[#References|[a5]]]; see also [[Microlocal analysis|Microlocal analysis]]).
6 KB (957 words) - 06:42, 26 March 2023
$#C+1 = 9 : ~/encyclopedia/old_files/data/P110/P.1100110 Performance analysis
...hastic Petri nets are other formalisms that are being used for performance analysis).
5 KB (732 words) - 08:05, 6 June 2020
...ight took place in the 1950s and 1960s. The concepts and methods of convex analysis have found extensive application in various branches of mathematics: in the
...tial]]; [[Conjugate function|Conjugate function]]). The theorems of convex analysis relate the operations of conjugation, passing to a polar and taking a subdi
4 KB (527 words) - 17:15, 7 February 2011
$#C+1 = 125 : ~/encyclopedia/old_files/data/M062/M.0602610 Mathematical analysis
...of an infinitesimal quantity, therefore it could be said that mathematical analysis studies functions and their generalizations by infinitesimal methods.
19 KB (2,844 words) - 08:57, 13 January 2024
...y, based on considering the dimensions of these quantities. In dimensional analysis one considers the problem of establishing various systems of units of measu
To obtain useful conclusions using dimensional analysis it is necessary to schematize the problem, and in the first place to fix a
16 KB (2,568 words) - 20:00, 4 January 2024
$#C+1 = 219 : ~/encyclopedia/old_files/data/F042/F.0402020 Functional analysis
The part of modern mathematical analysis in which the basic purpose is to study functions $ y = f ( x) $
36 KB (5,132 words) - 08:10, 30 January 2022
$#C+1 = 24 : ~/encyclopedia/old_files/data/C024/C.0204680 Confluent analysis,
''confluence analysis''
5 KB (715 words) - 17:46, 4 June 2020
$#C+1 = 125 : ~/encyclopedia/old_files/data/S086/S.0806330 Spectral analysis
...of functions of one or several operators find wide application in spectral analysis. These may be very simple (the spectrum of a polynomial in an operator cons
16 KB (2,424 words) - 08:22, 6 June 2020
-
34 bytes (3 words) - 14:18, 11 July 2018
$#C+1 = 37 : ~/encyclopedia/old_files/data/C026/C.0206810 Covariance analysis
A collection of methods in mathematical statistics relating to the analysis of models of the dependence of the mean value of some random variable $ Y
4 KB (576 words) - 06:25, 18 January 2022
| This article ''Sensitivity analysis'' was adapted from an original article by Geert Molenberghs, which appeared
'''Sensitivity Analysis'''
4 KB (584 words) - 11:06, 17 March 2023
$#C+1 = 118 : ~/encyclopedia/old_files/data/V096/V.0906360 Vector analysis
One of the fundamental concepts in vector analysis for the study of scalar fields is the [[Gradient|gradient]]. A scalar field
9 KB (1,410 words) - 08:28, 6 June 2020
'''Real
analysis''' is a book in [[:Category:
Analysis|
analysis]] by H.L. Royden. The book has several editions.
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> H.L. Royden, "Real
analysis" , Macmillan and Prentice Hall (1963–2010) {{MR|1013117}} {{MR|1532990}}
405 bytes (47 words) - 17:54, 26 April 2012
...practice through observations. Time series analysis means the statistical analysis of stochastic processes (cf. [[Statistical problems in the theory of stocha
...><TD valign="top">[a3]</TD> <TD valign="top"> M.B. Priestley, "Spectral analysis and time series" , '''1–2''' , Acad. Press (1981)</TD></TR></table>
1 KB (154 words) - 17:17, 7 February 2011
...(cf. [[Fourier integral|Fourier integral]]), which are objects of harmonic analysis.
...[a2]</TD> <TD valign="top"> Y. Katznelson, "An introduction to harmonic analysis" , Dover, reprint (1976) {{MR|0422992}} {{ZBL|0352.43001}} </TD></TR></ta
2 KB (287 words) - 11:59, 27 September 2012
#REDIRECT [[Combinatorial analysis]]
36 bytes (3 words) - 14:37, 11 July 2018
#REDIRECT [[Combinatorial analysis]]
36 bytes (3 words) - 14:23, 11 July 2018
#REDIRECT [[Dispersion analysis]]
33 bytes (3 words) - 14:17, 11 July 2018
...stem of constructive mathematics (see [[Constructive analysis|Constructive analysis]]).
388 bytes (57 words) - 17:04, 7 February 2011
#REDIRECT [[Functional data analysis]]
60 bytes (6 words) - 10:43, 14 March 2016
...a constructive metric space. See also [[Constructive analysis|Constructive analysis]]; [[Constructive metric space|Constructive metric space]].
415 bytes (59 words) - 17:26, 7 February 2011
''spectral analysis of a time series''
...valign="top">[7]</TD> <TD valign="top"> S.L. Marple, "Digital spectral analysis with applications" , Prentice-Hall (1987)</TD></TR></table>
2 KB (261 words) - 17:19, 7 February 2011
...iple vector products) are studied. The subject of [[Vector analysis|vector analysis]] are vectors which are functions of one or more scalar arguments.
...ign="top">[3]</TD> <TD valign="top"> J.W. Gibbs, E.B. Wilson, "Vector analysis" , Yale Univ. Press (1913)</TD></TR><TR><TD valign="top">[4]</TD> <TD vali
2 KB (301 words) - 16:54, 7 February 2011
''generalized multivariate analysis of variance''
71 bytes (8 words) - 17:07, 7 February 2011
''multivariate analysis of variance''
59 bytes (7 words) - 17:29, 7 February 2011
''statistical analysis software''
109 bytes (13 words) - 16:56, 7 February 2011
...her by means of algorithms. (See also [[Constructive analysis|Constructive analysis]].)
571 bytes (88 words) - 16:54, 7 February 2011
...of a parameter, obtained by the method of [[Sequential analysis|sequential analysis]]. The Wolfowitz inequality is the analogue of the [[Rao–Cramér inequali
649 bytes (93 words) - 16:59, 7 February 2011
$#C+1 = 37 : ~/encyclopedia/old_files/data/C026/C.0206810 Covariance analysis
A collection of methods in mathematical statistics relating to the analysis of models of the dependence of the mean value of some random variable $ Y
4 KB (576 words) - 06:25, 18 January 2022
[[Category:Analysis]]
|valign="top"|{{Ref|Ap}}||valign="top"| T.M. Apostol, "Mathematical analysis". Second edition. Addison-Wesley (1974) {{MR|0344384}} {{ZBL|0309.2600}}
2 KB (308 words) - 14:34, 17 November 2012
.../TR><TR><TD valign="top">[a2]</TD> <TD valign="top"> E. Nelson, "Tensor analysis" , Princeton Univ. Press (1967)</TD></TR><TR><TD valign="top">[a3]</TD> <T
823 bytes (127 words) - 17:09, 7 February 2011
...ight took place in the 1950s and 1960s. The concepts and methods of convex analysis have found extensive application in various branches of mathematics: in the
...tial]]; [[Conjugate function|Conjugate function]]). The theorems of convex analysis relate the operations of conjugation, passing to a polar and taking a subdi
4 KB (527 words) - 17:15, 7 February 2011