10 ENGLISH BOOKS RELATING TO «NONDECREASING»
Discover the use of
nondecreasing in the following bibliographical selection. Books relating to
nondecreasing and brief extracts from same to provide context of its use in English literature.
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
NEWS ITEMS WHICH INCLUDE THE TERM «NONDECREASING»
Find out what the national and international press are talking about and how the term
nondecreasing is used in the context of the following news items.
Rubik's Cube Proof Cut To 25 Moves
... chinese guy and the cube orders itself. Dammit! sorry. i just took calculus test and my caffeine dosage is nondecreasing at exponential rate. «Slashdot, Mar 08»
