...ang–Mills theory leads to global questions incorporating both topology and analysis, as opposed to the purely local theory of classical differential geometry.
7 KB (1,013 words) - 16:45, 1 July 2020
...encyclopediaofmath.org/legacyimages/d/d032/d032600/d032600193.png" />-adic analysis stimulated the development of the theory of Diophantine approximations in t
...ers by their approximation properties, etc. The corresponding methods are "global" (continued fractions, etc.). The metric approach involves the description
54 KB (7,359 words) - 18:32, 31 March 2017
...gn="top">[1]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods:
analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
...al orders, that is, the order of accuracy after just one step; the actual (
global) order at a fixed node <img align="absmiddle" border="0" src="https://www.e
32 KB (4,604 words) - 16:55, 7 February 2011
...(see [[Lie group, local|Lie group, local]]). Systematic research into the global structure of Lie groups was first begun by E. Cartan and H. Weyl. The first
==The global structure of Lie groups.==
26 KB (3,980 words) - 17:06, 13 June 2020
...these fields by the [[Galerkin method|Galerkin method]] through objective analysis (interpolation, extrapolation, smoothing) of empirical data on these fields
...ear mechanics, related to the van der Pol method, in a multiple time scale analysis. An example of this is the quasi-geostrophysic series, filtering fast waves
13 KB (1,880 words) - 08:03, 6 June 2020
''Diophantine analysis''
...for these two types of fields [[#References|[3]]], which are usually named global fields. This analogy is especially noticeable if the algebraic functions st
24 KB (3,602 words) - 11:48, 26 March 2023
...aofmath.org/legacyimages/m/m063/m063460/m063460167.png" /> is defined as a
global section of <img align="absmiddle" border="0" src="https://www.encyclopediao
..."top">[5]</TD> <TD valign="top"> L. Hörmander, "An introduction to complex
analysis in several variables" , North-Holland (1973) {{MR|0344507}} {{ZBL|0271.3200
44 KB (5,974 words) - 22:47, 29 November 2014
...mmodated in the method of utilization and interpretation of the results of analysis.
...compact convex set. By expanding the space of products the problem of the analysis of the efficient methods here may be reduced to the case where $ Z $
37 KB (5,562 words) - 11:11, 7 January 2024
.... D. Moore [[#References|[a8]]], [[#References|[a9]]] showed by asymptotic analysis that a singularity could develop along the sheet at finite time starting fr
...r><td valign="top">[a4]</td> <td valign="top"> J. Duchon, R. Robert, "Global vortex sheet solutions of Euler equations in the plane" ''J. Diff. Eqs.''
8 KB (1,185 words) - 17:00, 1 July 2020
...n that of Abelian varieties, some results involving Drinfel'd modules over global function fields $L$ can be proved, whose analogues over number fields $L$ a
...hic representations. This can partially be achieved and leads to (local or global) reciprocity laws between representations of $\GL(r)$ and Galois representa
19 KB (3,204 words) - 20:11, 14 April 2012
...0/e035550178.png" />. II" W.L. Baily jr. (ed.) T. Shioda (ed.) , ''Complex Analysis and Algebraic geometry'' , Cambridge Univ. Press & Iwanami Shoten (1977
15 KB (2,046 words) - 05:46, 13 June 2022
...tence criteria for global solutions (1983). In many cases the existence of global solutions is assumed beforehand (this is natural in many applications) and
...Lavrent'ev, "Some improperly posed problems of mathematical physics and analysis" , Amer. Math. Soc. (1986) (Translated from Russian)</TD></TR><TR><TD val
19 KB (2,714 words) - 13:11, 13 January 2024
...gn="top">[2]</TD> <TD valign="top"> N.S. Bakhvalov, "Numerical methods: analysis, algebra, ordinary differential equations" , MIR (1977) (Translated from
...estimate of the local error. However, since the relation between the true (global) error and the local error is generally not known, and because the local er
16 KB (2,467 words) - 15:35, 4 June 2020
A global a priori estimate for an elliptic operator $ A $
...n the elliptic operator in question turns out to be invertible, and in the global a priori estimate of the type (1) the last term (the low norm at the right-
12 KB (1,764 words) - 05:06, 24 February 2022
...als, quadrature formulas, moment problems, and other problems of classical analysis (see [[#References|[7]]]–). The origin of the study of the rows of the Pa
...icients of a power series) for their construction, they allow one to study global properties of the corresponding analytic function (analytic continuation, t
15 KB (2,227 words) - 13:32, 11 November 2023
recommendation, he was appointed Professor of Analysis and Mechanics
statistical analysis " always to collect a large number of elements,
13 KB (1,947 words) - 18:43, 4 March 2024
...heory of topological characteristics of nonlinear operators II" , ''Global analysis: Studies and Applications IV'' , ''Lecture Notes Math.'' , '''1453''' , Spr
16 KB (2,462 words) - 06:56, 15 February 2024
...tional-differential, as well as more complicated equations in mathematical analysis are all equations of the type (1), as are also systems of algebraic equatio
...>[2]</TD> <TD valign="top"> F. Riesz, B. Szökefalvi-Nagy, "Functional analysis" , F. Ungar (1955) (Translated from French)</TD></TR><TR><TD valign="top"
19 KB (2,803 words) - 19:40, 5 June 2020
...lso weighs the relative importance of the criteria in order to arrive at a global judgement. Moreover, in a group of decision makers each member faces the qu
...top">[a8]</td> <td valign="top"> F.A. Lootsma, "Multi-criteria decision analysis via ratio and difference judgement" , Kluwer Acad. Publ. (1999)</td></tr><
18 KB (2,526 words) - 15:30, 1 July 2020
...ne { \partial }$-problem]]), the prescribed curvature equation, and global analysis, [[#References|[a1]]], [[#References|[a7]]], [[#References|[a10]]].
10 KB (1,516 words) - 19:05, 16 June 2024