query: Finding the number of functions from $A$ to $B$ under a given condition.
positive_passages.docid: 25563
positive_passages.text: Count number of increasing functions, nondecreasing functions $f: \{1, 2, 3, \ldots, n\} \to \{1, 2, 3, \ldots, m\}$, with $m \geq n$.
negative_passages.docid: 47027
negative_passages.text: Function that counts the number of arguments of other functions
negative_passages.docid: 74829
negative_passages.text: Number of non decreasing sequences of length $M$
negative_passages.docid: 81799
negative_passages.text: Examples of functions where $f(ab)=f(a)+f(b)$
negative_passages.docid: 42942
negative_passages.text: Finding the number of analytic functions which vanish only on a given set.
negative_passages.docid: 22856
negative_passages.text: Ways to go from A to B(proof)
negative_passages.docid: 136848
negative_passages.text: Find the number of nonzero elements
negative_passages.docid: 124523
negative_passages.text: Finding an Inverse Function and Composition of Functions?
negative_passages.docid: 134352
negative_passages.text: The number of possible factorizations of a positive integer.
negative_passages.docid: 29403
negative_passages.text: Finding functions $f: \Bbb R_*^+ \to \Bbb R_*^+$ with certain properties
negative_passages.docid: 44354
negative_passages.text: Total number of solutions of an equation
negative_passages.docid: 132605
negative_passages.text: Finding the number of subsets of a set such that an element divides the succeeding element.
negative_passages.docid: 148731
negative_passages.text: Constructing a bijection between $[a,b)$ to $(0,1)$
negative_passages.docid: 70327
negative_passages.text: the numer of partial function between two sets in combinatoric way
negative_passages.docid: 122329
negative_passages.text: Determine all functions $f(x)$ such that $f(f(x+y))=f(x)+f(y)$
negative_passages.docid: 6788
negative_passages.text: Let $(a,b)$ and $(c,d)$ be intervals in $\Bbb R$, and find an injective and surjective function from $(a,b)$ to $(c,d)$
negative_passages.docid: 107659
negative_passages.text: Let $f:A \to B$ and $g:B\to A$ be arbitrary functions.