Solvability of Some Nonlinear Fourth Order Boundary Value Problems
... where f : [0, 1] × R4 → R is a continuous function satisfying a Nagumo-type growth assumption. The boundary conditions correspond to one endpoint simply supported and the other one sliding clamped when beam deformation is considered. The results presented in Chapter 2 improve some previous results b ...
... where f : [0, 1] × R4 → R is a continuous function satisfying a Nagumo-type growth assumption. The boundary conditions correspond to one endpoint simply supported and the other one sliding clamped when beam deformation is considered. The results presented in Chapter 2 improve some previous results b ...
MLL for CLASS-XII MATHEMATICS -2015-16
... Show that the relation R in the set A of points in a plane given by R = {(P,Q): distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all points P≠(0,0) is the circle passing through P with origin as ...
... Show that the relation R in the set A of points in a plane given by R = {(P,Q): distance of the point P from the origin is same as the distance of the point Q from the origin}, is an equivalence relation. Further, show that the set of all points P≠(0,0) is the circle passing through P with origin as ...
A Survey of Partially Observable Markov Decision Processes
... serious operational issue. Of course the use of structural results in algorithms for computing optimal policies is ruled out. There may, however, be sub-optimal structured policies that are "good enough" when balanced against computational effort. This is an area for further research. The generaliza ...
... serious operational issue. Of course the use of structural results in algorithms for computing optimal policies is ruled out. There may, however, be sub-optimal structured policies that are "good enough" when balanced against computational effort. This is an area for further research. The generaliza ...
Developing mathematical modelling skills: The role of CAS
... 1 A rationale for mathematical modelling in the mathematics curriculum To the applied mathematician, scientist and engineer the ability to solve real problems using mathematical models is one of the most important reasons for learning mathematics and this depends on the ability to apply mathematical ...
... 1 A rationale for mathematical modelling in the mathematics curriculum To the applied mathematician, scientist and engineer the ability to solve real problems using mathematical models is one of the most important reasons for learning mathematics and this depends on the ability to apply mathematical ...
4. Problem Statement
... As cross-stratum optimization involves in both the network stratum and the application stratum, the complexity increases in maintaining database accuracy and provisioning resources. As running dynamic control protocols are anticipated in both application and network strata, it will be more complex t ...
... As cross-stratum optimization involves in both the network stratum and the application stratum, the complexity increases in maintaining database accuracy and provisioning resources. As running dynamic control protocols are anticipated in both application and network strata, it will be more complex t ...
SOME DISCRETE EXTREME PROBLEMS
... a solvable subsystem. After exhaustion of rsubsystems, we will obtain a certain set which contains all not extensible solvable subsystems of system S. Among them it is possible to select optimum subsystems with the required properties. Maximum subsystem (according to the power) among the chosen subs ...
... a solvable subsystem. After exhaustion of rsubsystems, we will obtain a certain set which contains all not extensible solvable subsystems of system S. Among them it is possible to select optimum subsystems with the required properties. Maximum subsystem (according to the power) among the chosen subs ...
Mathematical optimization
In mathematics, computer science and operations research, mathematical optimization (alternatively, optimization or mathematical programming) is the selection of a best element (with regard to some criteria) from some set of available alternatives.In the simplest case, an optimization problem consists of maximizing or minimizing a real function by systematically choosing input values from within an allowed set and computing the value of the function. The generalization of optimization theory and techniques to other formulations comprises a large area of applied mathematics. More generally, optimization includes finding ""best available"" values of some objective function given a defined domain (or a set of constraints), including a variety of different types of objective functions and different types of domains.