Generating Functions Count
... When we examine a particular enumeration, we frequently resort to breaking down one of its configurations into smaller parts, so that we can understand how it is made up. Mathematically this may be expressed as a relation between configurations of different “sizes”. Such an expression is called a re ...
... When we examine a particular enumeration, we frequently resort to breaking down one of its configurations into smaller parts, so that we can understand how it is made up. Mathematically this may be expressed as a relation between configurations of different “sizes”. Such an expression is called a re ...
Full text
... MacMahon [1], pp. 217-223, studied special kinds of partitions of a positive integer, which he called perfect partitions and subperfect partitions. He defined a perfect partition of a number as "a partition which contains one and only one partition of every lesser number" and a subperfect partition ...
... MacMahon [1], pp. 217-223, studied special kinds of partitions of a positive integer, which he called perfect partitions and subperfect partitions. He defined a perfect partition of a number as "a partition which contains one and only one partition of every lesser number" and a subperfect partition ...
3n+1 summary - D-Scholarship@Pitt
... We discuss the history of this problem and focus on how diverse it is. An intriguing aspect of this problem is the vast number of areas of mathematics that can translate this number theoretic problem into the language of their discipline and the result is still a meaningful question which requires p ...
... We discuss the history of this problem and focus on how diverse it is. An intriguing aspect of this problem is the vast number of areas of mathematics that can translate this number theoretic problem into the language of their discipline and the result is still a meaningful question which requires p ...
possible-worlds semantics for modal notions conceived as predicates
... We think that the operator approach might have some merits for instance in linguistics and computer science, but it fails at its main application in philosophical logic: it does not provide an illuminating analysis for necessity, knowledge, obligation and so on. For it does not allow for the formali ...
... We think that the operator approach might have some merits for instance in linguistics and computer science, but it fails at its main application in philosophical logic: it does not provide an illuminating analysis for necessity, knowledge, obligation and so on. For it does not allow for the formali ...
36(4)
... Requests for reprint permission should be directed to the editor. However, general permission is granted to members of The Fibonacci Association for noncommercial reproduction of a limited quantity of individual articles (in whole or in part) provided complete reference is made to the source. Annual ...
... Requests for reprint permission should be directed to the editor. However, general permission is granted to members of The Fibonacci Association for noncommercial reproduction of a limited quantity of individual articles (in whole or in part) provided complete reference is made to the source. Annual ...
Note 2 - inst.eecs.berkeley.edu
... So what types of “computer science-related” statements might we want to prove? Here are two examples: (1) Does program P halt on every input? (2) Does program P correctly compute the function f (x), i.e. does it output f (x) on input x, for every x? Note that each of these statements refers to the b ...
... So what types of “computer science-related” statements might we want to prove? Here are two examples: (1) Does program P halt on every input? (2) Does program P correctly compute the function f (x), i.e. does it output f (x) on input x, for every x? Note that each of these statements refers to the b ...
MINIMAL NUMBER OF PERIODIC POINTS FOR SMOOTH SELF
... for all smooth maps homotopic to the map f : S 3 → S 3 of degree β will be given in Proposition 4.1 and Theorems 4.2 and 4.6 below. Proposition 4.1. For each self-map f of S 3 we have: L(f n ) = 1 − β n . This implies the following statements. If β = 1, then L(f n ) = 0 for all n, hence Dr3 [f ] = 0 ...
... for all smooth maps homotopic to the map f : S 3 → S 3 of degree β will be given in Proposition 4.1 and Theorems 4.2 and 4.6 below. Proposition 4.1. For each self-map f of S 3 we have: L(f n ) = 1 − β n . This implies the following statements. If β = 1, then L(f n ) = 0 for all n, hence Dr3 [f ] = 0 ...
