...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 }$-problem]]), the prescribed curvature equation, and global analysis, [[#References|[a1]]], [[#References|[a7]]], [[#References|[a10]]].
10 KB (1,516 words) - 19:05, 16 June 2024
...op">[a6]</TD> <TD valign="top"> R. Horst, P.M. Pardalos, "Handbook of global optimization" , Kluwer Acad. Publ. (1995)</TD></TR><TR><TD valign="top">[a
10 KB (1,422 words) - 14:35, 19 May 2024
...see, e.g., [[Metric space|Metric space]]; [[Functional analysis|Functional analysis]]).
...her geometers. As a result of the interaction of geometry with algebra and analysis there followed the appearance of special calculi, which are conveniently us
20 KB (2,829 words) - 18:41, 11 December 2020
Apart from the lack of global convergence of Newton's method, the use of Hessian matrices is a disadvanta
...letcher, "An overview of unconstrained optimization" ''Dundee Numerical Analysis Report'' , '''NA/149''' (1993)</td></tr><tr><td valign="top">[a9]</td> <td
12 KB (1,897 words) - 19:37, 9 February 2024
...the general framework of the theory of connections. As a device of tensor analysis, covariant differentiation is widely used in theoretical physics, particula
...></TR><TR><TD valign="top">[4]</TD> <TD valign="top"> A. Lichnerowicz, "Global theory of connections and holonomy groups" , Noordhoff (1955) (Translated
15 KB (2,257 words) - 17:31, 5 June 2020
...]) and mathematical [[Cybernetics|cybernetics]] and their study aims at an analysis and formalization of the concept of an algorithm and at modelling real devi
Other models combine local and global storage.
18 KB (2,656 words) - 04:11, 6 June 2020
...(ed.) A. Kishimoto (ed.) I. Ojima (ed.) , ''Quantum and Non-Commutative Analysis'' , ''Math. Phys. Stud.'' , Kluwer Acad. Publ. (1993) pp. 239–251</TD><
...Kotake (ed.) S. Nishikawa (ed.) R. Schoen (ed.) , ''Geometry and Global Analysis (Rept. First MSJ Internat. Res. Inst. (July 12-23, 1993), Tôhoku Univ.'' ,
16 KB (2,356 words) - 19:53, 13 January 2018
...$\mathbb{Z}$, a positive solution to Hilbert's tenth problem; cf. [[Local-global principles for the ring of algebraic integers]].
...orm|Quadratic form]]) reduces the classification of quadratic forms over a global field to that over local fields. This represents the historically first ins
29 KB (4,109 words) - 19:54, 18 March 2018
...oximation on Banach manifolds" S.-S. Chern (ed.) S. Smale (ed.) , ''Global analysis'' , ''Proc. Symp. Pure Math.'' , '''14''' , Amer. Math. Soc. (1970) pp. 213
12 KB (1,758 words) - 00:29, 13 January 2017
...g to the theorem on the resolution of singularities of algebraic surfaces, global methods of the theory of schemes may be applied to the local study of singu
is known. The existence of a global moduli variety of an algebraic surface has been proved only for certain cas
26 KB (3,736 words) - 13:08, 8 February 2020
.... Abraham, "Bumpy metrics" S.-S. Chern (ed.) S. Smale (ed.) , ''Global analysis'' , ''Proc. Symp. Pure Math.'' , '''14''' , Amer. Math. Soc. (1970) pp. 1
13 KB (1,911 words) - 17:44, 4 June 2020