Graphing Functions
... If the domain of a function is all real numbers, any number can be used as an input value. This process will produce an infinite number of ordered pairs that satisfy the function. Therefore, arrowheads are drawn at both “ends” of a smooth line or curve to represent the infinite number of ordered pai ...
... If the domain of a function is all real numbers, any number can be used as an input value. This process will produce an infinite number of ordered pairs that satisfy the function. Therefore, arrowheads are drawn at both “ends” of a smooth line or curve to represent the infinite number of ordered pai ...
Lecture 6
... – First way: define s(x) = x*x and then construct a definition for f in terms of map, s, and seq as follows. f(n) = <0, 1, 4, …, n2> =
= map(s, <0, 1, 2, …, n>)
= map(s, seq(n)).
– Second way: construct a definition for f without using the function s that we
defined for t ...
... – First way: define s(x) = x*x and then construct a definition for f in terms of map, s, and seq as follows. f(n) = <0, 1, 4, …, n2> =
Exact Real Calculator for Everyone
... Real numbers are infinite objects, and so ERA involves computing with infinite objects. Thinking of a machine that performs ERA as a black box that feeds on a real number, say, coded as an infinite stream of a finite number of symbols (e.g., ., 0, 1, . . . , 9, for convenience) to print some real nu ...
... Real numbers are infinite objects, and so ERA involves computing with infinite objects. Thinking of a machine that performs ERA as a black box that feeds on a real number, say, coded as an infinite stream of a finite number of symbols (e.g., ., 0, 1, . . . , 9, for convenience) to print some real nu ...
ma_eco_pre_pap3_bl1
... primitive concept, instead of being defined in terms of set theory. The terms transformation and mapping are often synonymous with function. In some contexts, however, they differ slightly. In the first case, the term transformation usually applies to functions whose inputs and outputs are elements ...
... primitive concept, instead of being defined in terms of set theory. The terms transformation and mapping are often synonymous with function. In some contexts, however, they differ slightly. In the first case, the term transformation usually applies to functions whose inputs and outputs are elements ...
Pidgeonhole Principal
... times. Prove that there is some row or column which contains at least 10 different numbers. Solution: Linearity of expectation with indicator variables. Translated to pigeonhole: 200 holes are the rows and columns, which we call lines. A Pigeon is a pair (number, line) such that the number appears i ...
... times. Prove that there is some row or column which contains at least 10 different numbers. Solution: Linearity of expectation with indicator variables. Translated to pigeonhole: 200 holes are the rows and columns, which we call lines. A Pigeon is a pair (number, line) such that the number appears i ...
