与 «NONDECREASING»相关的英语书籍
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The second derivative of the composition function / = h o g is given by f"(x) = h"(g(
x))g'(xf + h'(g(x))g"(x). (3.9) Now suppose, for example, that g is convex (so g" > 0)
and h is convex and nondecreasing (so h" > 0 and h' > 0). It follows from (3.9) ...
Stephen P. Boyd, Lieven Vandenberghe, 2004
2
Efficient Algorithms for Path Problems in Weighted Graphs
6.3 Cheapest Nondecreasing Paths Consider a traveler who wants to obtain a
valid itinerary from one city to another but their major objective is to minimize their
expenses. The travel agency has information about all flights - departure and ...
Virginia Vassilevska, 2008
3
Elementary Real and Complex Analysis
A numerical function f(x) is said to be nondecreasing in the direction S if Ac B (
where A,B e S) implies sup [/(x): xeB-^inf [/(x): xe-4). (l) 4.52. Examples The
following examples show that the general definition of Sec. 4.5 l b is consistent
with the ...
4
The Integrals of Lebesgue, Denjoy, Perron, and Henstock
... then F is nondecreasing on [a,b]. PROOF. Let E be the set {x E [a, 6] : DF(x) < 0}
. Since n(E) = 0, there exists a continuous nondecreasing function 4> on [a, b]
such that Djp = +00 on E (see Exercise 4.17). Let e > 0 and let G(x) = F(x) + e4>(x
).
5
Justifying, Characterizing and Indicating Sustainability
Proposition 4: If the technology satisfies Immediate productivity, then the set of
RS-maximal utility paths is equal to the set of efficient and nondecreasing paths,
and every RS-maximal utility path is time-consistent. Proof. (i) Every RS-maximal
...
6
Economic Theory and Sustainable Development: What Can We ...
Vincent Martinet. unsustainable path (i.e. a path exhibiting a declining utility at
some time) should be deemed as ethically unacceptable. The usual way to deal
with sustainability in the optimal growth literature is to impose nondecreasing
utility.
7
Problems in the Constructive Trend in Mathematics
In conjunction with the fact that C is a nondecreasing sequence of rational
numbers, this implies that C 0 is a nondecreasing quasinumber. Moreover, it is
obvious that if A 0 < B 0, then C 0 is conditionally equal to B ' 0, and if B3 0 < A3 0
, then ...
V. P. Orevkov, Nikolaĭ Aleksandrovich Shanin, 1972
8
STACS 99: 16th Annual Symposium on Theoretical Aspects of ...
Now assume that Me is t-time nondecreasing. We show that KndU(x) § KndMe +
e + 1. Assume that for some x, > e, Me(u) : x. Since Me is nondecreasing and
prefix free 0.12 § O.u — 2'l“l for all u such that Me(u) < x. (0.1) § O.u since Me is ...
Christoph Meinel, Sophie Tison, 1999
9
THEORY OF CAUSAL DIFFERENTIAL EQUATIONS
Then a0, [)0 are natural lower and upper solutions of (3.12) and with (Px)
nondecreasing, we get the monotone sequences {01”}, converging to minimal
and maximal solutions of (3.12) respectively, 1ying in the sector [010, [)0].
However if (Px) ...
S. Leela, V. Lakshmikantham, 2010
10
Stochastic Inequalities
(2.8) We claim that, due to (2.7), if /i(m+i) is nondecreasing as a function of A"i, . . .
,-Xm+i, then fym) is nondecreasing as a function of X\, . . .,Xm. To see this, let xt- <
a£, j = l,2,...,m. Then by (2.7), (2.9) = E[h(m+l)(xi,...,Xm,Xm+i)\Xi = X!,...,Xm ...
Moshe Shaked, Yung Liang Tong, 1992
