$#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 $
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$#C+1 = 243 : ~/encyclopedia/old_files/data/D033/D.0303340 Dispersion analysis
...icultural crop yields a maximal harvest. Modern applications of dispersion analysis embrace a wide scope of problems in economics, sociology, biology, and tech
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$#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
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$#C+1 = 31 : ~/encyclopedia/old_files/data/I052/I.0502080 Interval analysis
...ne has not solved the problem. To overcome the latter problem, an interval analysis with structures of probability theory has been developed (cf. [[#References
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...rete mathematics and discrete analysis. In what follows the term "discrete analysis" is understood in the wide meaning of the word, including discrete mathemat
As distinct from discrete analysis, classical mathematics deals mainly with continuous objects. The choice bet
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$#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.
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...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
$#C+1 = 39 : ~/encyclopedia/old_files/data/A110/A.1100490 Algebraic analysis
...es|[a3]]], [[#References|[a5]]]; see also [[Microlocal analysis|Microlocal analysis]]).
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$#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).
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$#C+1 = 165 : ~/encyclopedia/old_files/data/W097/W.0907760 White noise analysis
...developed into a viable framework for stochastic and infinite-dimensional analysis [[#References|[a4]]]–[[#References|[a6]]], with a growing number of appli
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...quations, probability theory, and others. The basic method of non-standard analysis can roughly be described as follows. One considers a certain mathematical s
...initesimal calculus]]) which in the subsequent development of mathematical analysis was rejected in favour of the precise concept of the limit of a variable qu
5 KB (677 words) - 23:47, 29 April 2012
| This article ''Analysis of Samples of Curves (=Functional Data Analysis)'' was adapted from an original article by Hans-Georg Müller, which appe
<center>'''Functional Data Analysis'''
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The comparison of algorithms and the analysis of numerical problems in a Bayesian setting, cf. also [[Bayesian approach|B
...worst-case sense over the class $P$. Alternatively, in Bayesian numerical analysis, one puts an [[A priori distribution|a priori distribution]] $\mu$ on the i
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''program analysis''
...i) flow-based analysis; ii) inference-based analysis; iii) semantics-based analysis; iv) abstract interpretation; and v) fixed-point approximation techniques.
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...nn, H. Lebesgue, M. Plancherel, L. Fejér, and F. Riesz formulated harmonic analysis as an independent mathematical discipline.
...he problem of the natural limits of the main results of classical harmonic analysis. This problem is based on the following interpretation of an ordinary Fouri
66 KB (9,085 words) - 17:28, 31 March 2020
...= 132 : ~/encyclopedia/old_files/data/R110/R.1100080 Renormalization group analysis
...ale, from which observed phenomena can be explained. Renormalization group analysis allows one to determine effective theories at each length scale, from micro
10 KB (1,447 words) - 08:11, 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}}
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$#C+1 = 166 : ~/encyclopedia/old_files/data/L110/L.1100140 Lie symmetry analysis
...Lie symmetry analysis" N.H. Ibragimov (ed.) , ''CRC Handbook of Lie Group Analysis of Differential Equations: New Trends in Theoretical Developments and Compu
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A method used in [[Idempotent analysis|idempotent analysis]] and similar to the well-known superposition principle in quantum theory.
...a2]</TD> <TD valign="top"> V.N. Kolokoltsov, V.P. Maslov, "Idempotent analysis and applications" , Kluwer Acad. Publ. (1996) (In Russian)</TD></TR></tab
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[[Category:Functional analysis]]
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$#C+1 = 24 : ~/encyclopedia/old_files/data/C024/C.0204680 Confluent analysis,
''confluence analysis''
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...ar spaces and their mappings. The basic divisions of non-linear functional analysis are the following.
...e study of spaces that are locally linear and of Banach manifolds — global analysis.
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...ltiple comparison problem often arises in [[Dispersion analysis|dispersion analysis]] where, as a rule, the vectors $ \mathbf c $
...all, A. Stuart, "The advanced theory of statistics" , '''3. Design and analysis, and time series''' , Griffin (1983)</TD></TR></table>
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====Analysis====
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...function]] in the [[p-adic number|$p$-adic number]] domain. In classical analysis we have
* Robert, Alain M. ''A course in ''p''-adic analysis'' Graduate Texts in Mathematics '''198''' Springer (2000) {{ZBL|0947.11035}
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''in numerical analysis''
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...regarded as belonging to this area. The term [[Discrete analysis|discrete analysis]] sometimes serves as a synonym for the concepts of "finite mathematics"
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...R><TD valign="top">[2]</TD> <TD valign="top"> R.E. Edwards, "Functional analysis: theory and applications" , Holt, Rinehart & Winston (1965)</TD></TR><
...top">[a1]</TD> <TD valign="top"> J.A. Dieudonné, "Foundations of modern analysis" , Acad. Press (1961) (Translated from French)</TD></TR></table>
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...">[3]</TD> <TD valign="top"> S.M. Nikol'skii, "A course of mathematical analysis" , '''1''' , MIR (1977) (Translated from Russian)</TD></TR></table>
...</TD> <TD valign="top"> K.R. Stromberg, "Introduction to classical real analysis" , Wadsworth (1981)</TD></TR></table>
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See also [[Non-linear functional analysis|Non-linear functional analysis]].
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...thematics|Constructive mathematics]]; [[Constructive analysis|Constructive analysis]].
...> <TD valign="top"> E. Specker, "Nicht konstruktiv beweisbare Sätze der Analysis" ''J. Symbol. Logic'' , '''14''' (1949) pp. 145–158 {{DOI|10.2307/226
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In functional analysis, an $L^p$ space is a space of functions for which the $p$-th power of their
...archi, Rami (2011). Functional Analysis: Introduction to Further Topics in Analysis. Chapter 1, Princeton University Press. {{ISBN|9780691113876}}.
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...quations, probability theory, and others. The basic method of non-standard analysis can roughly be described as follows. One considers a certain mathematical s
...initesimal calculus]]) which in the subsequent development of mathematical analysis was rejected in favour of the precise concept of the limit of a variable qu
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...<TD valign="top"> J. Stoer, R. Burlirsch, "Introduction to numerical analysis" , Springer (1980) pp. Chapt. 3 (Translated from German)</TD></TR>
...[a3]</TD> <TD valign="top"> F.B. Hildebrand, "Introduction to numerical analysis" , Dover, reprint (1987) pp. Chapt. 8</TD></TR>
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''on a set (in analysis)''
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...d $\theta_2$ of two one-dimensional normal distributions is a contrast. In
analysis of variance, the problem of [[Multiple comparison|multiple comparison]] if
<table><TR><TD valign="top">[1]</TD> <TD valign="top"> H. Scheffé, "
Analysis of variance" , Wiley (1959)</TD></TR></table>
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A heuristic principle in [[Idempotent analysis|idempotent analysis]]. It states that there is a correspondence between important, useful and i
...eferences|[a1]]]–[[#References|[a3]]] and [[Idempotent analysis|Idempotent analysis]]).
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[[Category:Numerical analysis and scientific computing]]
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