Polynomial solutions

The study studies the problem naturally through relatively elementary results, including those from number theory and quadratic forms, to construct the formula to calculate the number of solutions of the aforementioned congruence.

8p visergeyne 18-06-2024 1 0   Download

The goal of this book is to give you the skills and knowledge necessary to succeed in calculus. Much of the difficulty calculus students face is with algebra. They have to solve equations, find equations of lines, study graphs, solve word problems, and rewrite expressions—all of these require a solid background in algebra. You will get experience with all this and more in this book. Not only will you learn about the basic functions in this book, you also will strengthen your algebra skills because all of the examples and most of the solutions are given with a lot of detail.

479p zizaybay1103 29-05-2024 4 2   Download

Ebook Differential and Integral Equation: Part 1 presents the following content: Bessel’s Functions; Legendre’s Polynomials; Hermite Polynomials; Laguerre Polynomials; Differential Equations; Existence Theorem for the Solution of the Equation dy dx = f(x, y);...Please refer to the documentation for more details.

250p chankora 16-06-2023 2 1   Download

We consider the motion of a viscous imcompressible fluid past a rotating rigid body in threedimensional, where the translational and angular velocities of the body are prescribed but time-dependent. In a reference frame attached to the body, we have the non-autonomous OseenNavier-Stokes equations in a fixed exterior domains.

8p viporsche 25-10-2022 7 2   Download

In this paper, we propose a method to build up solutions (state functions) of the control systems, which transfers the system from any initial conditions in to any final conditions and at the same time satisfies conditions given to the controllability function u(t) which makes it possible to find in the type of polynomials of degree ((p + 1)(k + 2)-1) with vector coefficients.

4p vilexus 05-10-2022 8 2   Download

The aim of this article is to prove that, solution x(t) (state function) of the linear stationary dynamic system x(t) = Bx(t) + Du(t), which transfers the system from any initial conditions in to any final conditions and at the same time satisfies conditions given for the controllability function u(t) is possible to find in the type of polynomials of degree r + (k + 2)(p + 1)-1 with vector coefficients.

4p vilexus 30-09-2022 8 4   Download

The class NP-complete (NPC) problems consists of a set of decision problems (a subset of class NP) that no one knows how to solve efficiently. But if there were a polynomial solution for even a single NP-complete problem, then ever problem in NPC will be solvable in polynomial time. For this, we need the concept of reductions. In this lecture, you find clear explanations of Reductions.

25p youzhangjing_1909 28-04-2022 9 1   Download

Many supertree estimation and multi-locus species tree estimation methods compute trees by combining trees on subsets of the species set based on some NP-hard optimization criterion. A recent approach to computing large trees has been to constrain the search space by defining a set of “allowed bipartitions”, and then use dynamic programming to find provably optimal solutions in polynomial time. Several phylogenomic estimation methods, such as ASTRAL, the MDC algorithm in PhyloNet, FastRFS, and ALE, use this approach.

17p vibeauty 23-10-2021 8 0   Download

In this paper, we study and propose i) Second-order Cellular Neural Networks (SOCNN) architecture based on standard CNN proposed by Leon. O. Chua with the 2nd-order polynomial inputs and bounded parameter assumptions; the conditions for the existence and stability of the solutions of CNN are presented by choosing appropriate Lyapunov function; simulation and computing results by the simple example are perfomed on the Matlab (2014) Simulink

7p chauchaungayxua11 23-03-2021 13 2   Download

Application of genetic algorithms on the specific problem is not trivial; encoding the solution of the problem, identifying the mutation and crossover operator and fitness function of the solutions of the specific problem. In this paper we have developed a way of encoding the solutions of examination scheduling in order to apply genetic algorithm.

10p tamynhan5 10-12-2020 17 2   Download

In present time significant attention has been given to study non-integer order partial differential equations. The current article is devoted to find numerical solutions to the following class of time–space fractional partial differential.

10p dayhoctainha 10-09-2020 20 1   Download

DTRU, a new variant of NTRU public - key cryptosystem, has some advantages in comparison with original NTRU at the same security levels. However, in DTRU, the cipher-text is at least three time longer than the plain-text i.e., message-expansion factor of DTRU is higher than that of other well-known public-key cryptosystems.

9p vititan2711 13-08-2019 14 1   Download

In this paper, a collocation approach based on exponential polynomials is introduced to solve linear Fredholm–Volterra integro-differential equations under the initial boundary conditions. In addition, the results are compared with the results of other methods.

17p nutifooddau 21-01-2019 20 2   Download

The fact that polynomial time algorithm is very unlikely to be devised for an optimal solving of the NP-hard problems strongly motivates both the researchers and the practitioners to try to solve such problems heuristically, by making a trade-off between computational time and solution’s quality.

38p vinguyentuongdanh 19-12-2018 38 1   Download

The aim of article is to prove that it is possible to find state function x(t) and controllability function u(t) of the descriptor systems EX'(t) = Bx(t) + Du(t) in which E, B, D are real matrices with size equivalent to state function and controllability vector in the type of polynomials of degree

4p vidanh95 12-12-2018 32 0   Download

A solution technique based on the representation of the response of the non-linear system by a polynomial of the response of the linearized system is presented. The relation between the original non-linear system and the linearized system is introduced by considering the so-called extended moment equations and their closed set is to be solved to determine unknowns.

10p chikychiky 26-10-2018 20 0   Download

A material is suggested for future mechanical vibration textbooks. Both mathematically and conceptually it is simpler than most of the material that is already included in the existing textbooks. It pertains to the inverse vibration problem for inhomogeneous beam, i.e. the beam with the modulus of elasticity that varies along the axial coordinate. Specifically, the solution of the following problem is presented: Find a distribution of the modulus of elasticity of an inhomogeneous beam such that the beam would possess the preselected simple, polynomial vibration mode shape.

6p thienthanquydu 21-10-2018 27 0   Download

(bq) part 2 book "abstract algebra - theory and applications" has contents: matrix groups and symmetry, group actions, the sylow theorems, rings, polynomials, integral domains, lattices and boolean algebras, lattices and boolean algebras, vector spaces, galois theory, hints and solutions, finite fields.

254p bautroibinhyen19 02-03-2017 66 4   Download

(bq) part 1 book "numerical analysis" has content: mathematical preliminaries and error analysis, solutions of equations in one variable, interpolation and polynomial approximation, numerical differentiation and integration, initial value problems for ordinary differential equations, direct methods for solving linear systems.

446p bautroibinhyen19 02-03-2017 53 5   Download

In the general framework of a constraint-based grammar formalism often some sort of feature logic serves as the constraint language to describe linguistic objects. We investigate the extension of basic feature logic with subsumption (or matching) constraints, based on a weak notion of subsumption. This mechanism of oneway information flow is generally deemed to be necessary to give linguistically satisfactory descriptions of coordination phenomena in such formalisms.

8p bunmoc_1 20-04-2013 40 1   Download