Mathematical statement of problem

Ebook "Mathematical formulas for economists" constitutes a compendium of mathematics for economics and business. It contains the most important formulas, statements and algorithms in this significant subfield of modern mathematics and addresses primarily students of economics or business at universities, colleges and trade schools. But people dealing with practical or applied problems will also find this collection to be an efficient and easy-to-use work of reference.

197p loivantrinh 29-10-2023 7 3   Download

Ebook "Graph theory with applications" over 1500 problems are used to illustrate concepts, related to different topics, and introduce applications.Over 1000 exercises in the text with many different types of questions posed. Precise mathematical language is used without excessive formalism and abstraction. Care has been taken to balance the mix of notation and words in mathematical statements. Problem sets are stated clearly and unambiguously, and all are carefully graded for various levels of difficulty.

487p tichhythan 17-08-2023 5 4   Download

This book is designed to teach you the Java programming language and, even more importantly, to teach you basic programming techniques. It requires no previous programming experience and no mathematics other than some simple high school algebra. Ebook Java: An introduction to problem solving & programming (Sixth edition) – Part 1 presents the following chapters: Chapter 1 introduction to computers and java, chapter 2 basic computation, chapter 3 flow of control: branching, chapter 4 flow of control: loops, chapter 5 defining classes and methods, chapter 6 more about objects and methods.

514p runthenight04 04-01-2023 43 5   Download

Advanced Algorithms Analysis and Design - Lecture 35: Dijkstra’s algorithm. In this lecture we will cover the following: problem statement; mathematical statement of problem; edge relaxation, Dijkstra’s algorithm; fibonacci heap; convergence property; predecessor subgraph property;...

32p andromedashun 26-05-2022 15 1   Download

This chapter continues with the learning approaches of Chapter 4: provide many examples to imitate and problem-solving guidelines to help you reason through difficult problems. This chapter extends your knowledge of query formulation to advanced matching problems. To solve these advanced matching problems, additional parts of the SELECT statement are introduced.

31p larachdumlanat122 26-11-2020 19 2   Download

The truth sets of two propositions p and q are shown in Figure 2.6. Also marked on the diagram are the various logical possibilities for these two statements. The reader should pick out in this diagram the truth sets of the statements p ∨ q, p ∧ q, ¬p, and ¬q. The connection between a statement and its truth set makes it pos- sible to “translate” a problem about compound statements into a prob- lem about sets. It is also possible to go in the reverse direction. Given a problem about sets, think of the universal set as being a set of logical possibilities and think of a...

82p dacotaikhoan 25-04-2013 34 4   Download

Definition. Let U be a set of logical possibilities, let p be a state- ment relative to it, and let P be that subset of the possibilities for which p is true; then we call P the truth set of p. If p and q are statements, then p∨q and p∧q are also statements and hence must have truth sets. To find the truth set of p ∨ q, we observe that it is true whenever p is true or q is true (or both). Therefore we must assign to p ∨ q the logical possibilities which are in P or in Q (or both); that is,...

0p dacotaikhoan 25-04-2013 38 3   Download

Consider the inverse eigenvalue problem of the Schr¨dinger operator deo fined on a finite interval. We give optimal and almost optimal conditions for a set of eigenvalues to determine the Schr¨dinger operator. These conditions are o simple closedness properties of the exponential system corresponding to the known eigenvalues. The statements contain nearly all former results of this topic. We give also conditions for recovering the Weyl-Titchmarsh m-function from its values m(λn ).

35p noel_noel 17-01-2013 43 6   Download

We prove that knowing the lengths of geodesics joining points of the boundary of a two-dimensional, compact, simple Riemannian manifold with boundary, we can determine uniquely the Riemannian metric up to the natural obstruction. 1. Introduction and statement of the results Let (M, g) be a compact Riemannian manifold with boundary ∂M . Let dg (x, y) denote the geodesic distance between x and y. The inverse problem we address in this paper is whether we can determine the Riemannian metric g knowing dg (x, y) for any x ∈ ∂M , y ∈ ∂M . ...

19p noel_noel 17-01-2013 41 3   Download

In this paper we consider a combinatorial optimization problem that is similar to the bottleneck traveling salesman problem. We show that an optimal tour for this problem is pyramidal tour (1, 3, 5,…, n,…, 6, 4, 2) or consists of some pyramidal subtours. The above 7methods can be extended to complete bipartite graphs. 1. Problem statement It is well-known that the traveling salesman problem (TSP) is strongly NP-hard (cf. [1], p. 353). But for some special cases of the TSP can be solvable in polynomial time. ...

5p tuanlocmuido 19-12-2012 62 3   Download

We want to make it easy for ordinary people, especially children, to design and manufacture three-dimensional models using planar components as an entrée to learning to design. We believe that the experience of designing and making things is a powerful vehicle for learning. For many people, designing and making something can be rewarding and engaging, and, we think, can motivate more general learning in science, technology, engineering, and mathematics.

15p connhobinh 09-12-2012 55 2   Download

This tutorial shows how to use Maple both as a calculator with instant access to hundreds of high-level math routines and as a programming language for more demanding tasks. It covers topics such as the basic data types and statements in the Maple language. It explains the differences between numeric computation and symbolic computation and illustrates how both are used in Maple. Extensive "how-to" examples are used throughout the tutorial to show how common types of calculations can be expressed easily in Maple.

0p rose_12 06-12-2012 54 1   Download

A Student’s Guide to the Study, Practice, and Tools of Modern Mathematics provides an accessible introduction to the world of mathematics. It offers tips on how to study and write mathematics as well as how to use various mathematical tools, from LaTeX and Beamer to Mathematica® and Maple™ to MATLAB® and R. Along with a color insert, the text includes exercises and challenges to stimulate creativity and improve problem solving abilities.

83p rose_12 06-12-2012 63 4   Download

This book introduces a variety of problem statements in classical optimal control, in optimal estimation and filtering, and in optimal control problems with non-scalar-valued performance criteria. Many example problems are solved completely in the body of the text. All chapter-end exercises are sketched in the appendix. The theoretical part of the book is based on the calculus of variations, so the exposition is very transparent and requires little mathematical rigor.

141p kennybibo 14-07-2012 53 8   Download

Spectral extrema for graphs: the Zarankiewicz problem L´szl´ Babai∗ a o Barry Guiduli†Submitted: Jul 12, 2007; Accepted: Sep 21, 2009; Published: Sep 25, 2009 Abstract Let G be a graph on n vertices with spectral radius λ (this is the largest eigenvalue of the adjacency matrix of G). We show that if G does not contain the complete bipartite graph Kt,s as a subgraph, where 2 t s, then λ (s − 1)1/t + o(1) n1−1/t for fixed t and s while n → ∞. Asymptotically, this bound matches the K˝v´rio a Tur´n-S´s upper bound on the average degree of G...

8p thulanh8 19-09-2011 57 7   Download

MATLAB®, developed by The MathWorks, Inc., integrates computation, visualization, and programming in a flexible, open environment. It offers engineers, scientists, and mathematicians an intuitive language for expressing problems and their solutions mathematically and graphically. Complex numeric and symbolic problems can be solved in a fraction of the time required with a programming language such as C, Fortran, or Java.

230p kimthanh_haui 18-02-2011 352 163   Download