Periodic Functions
... Any function is called periodic if it “repeats” itself on intervals of any fixed length. For example the sine curve. Periodicity may be defined symbolically: ...
... Any function is called periodic if it “repeats” itself on intervals of any fixed length. For example the sine curve. Periodicity may be defined symbolically: ...
Chapter Three - Polynomials and Rational Functions
... A polynomial is a function of the form: P(x) an x n an 1 x n 1 a1 x a0 where an, an-1, ... a0 are constant numbers known as coefficients with an 0. The number n is the highest power of x to appear and is known as the degree of the polynomial. If this formal definition of polynomial s ...
... A polynomial is a function of the form: P(x) an x n an 1 x n 1 a1 x a0 where an, an-1, ... a0 are constant numbers known as coefficients with an 0. The number n is the highest power of x to appear and is known as the degree of the polynomial. If this formal definition of polynomial s ...
Error Detection Using Check Digits
... The final character of a ten digit International Standard Book Number is a check digit computed so that multiplying each digit by its position in the number (counting from the right) and taking the sum of these products modulo 11 is 0. The furthest digit to the right (which is multiplied by 1) is th ...
... The final character of a ten digit International Standard Book Number is a check digit computed so that multiplying each digit by its position in the number (counting from the right) and taking the sum of these products modulo 11 is 0. The furthest digit to the right (which is multiplied by 1) is th ...
BB Chapter 1
... Two CDs are not enough; she might get one of each kind. But if she selects a third CD, she will end up with a third rock CD, a second rock CD, a second classical CD, or a third classical CD. In any case, she will have two CDs of the same type and the condition of the problem will be satisfied. Slide ...
... Two CDs are not enough; she might get one of each kind. But if she selects a third CD, she will end up with a third rock CD, a second rock CD, a second classical CD, or a third classical CD. In any case, she will have two CDs of the same type and the condition of the problem will be satisfied. Slide ...
Hypergeometric τ -functions, Hurwitz numbers and paths J. Harnad and A. Yu. Orlov
... Remark 2.4. Note that the number of branch points in each of the groups is variable, but the sum is only over those in group (ii) for which the lengths `(µ(a) ) are fixed and those in group (iii) for which the sum of the complements of the lengths D are fixed. These therefore only involve signed sum ...
... Remark 2.4. Note that the number of branch points in each of the groups is variable, but the sum is only over those in group (ii) for which the lengths `(µ(a) ) are fixed and those in group (iii) for which the sum of the complements of the lengths D are fixed. These therefore only involve signed sum ...
Continued Fractions and Approximations
... There are other CFs with interesting patterns though: e − 1 = [1, 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, . . .] ...
... There are other CFs with interesting patterns though: e − 1 = [1, 1, 2, 1, 1, 4, 1, 1, 6, 1, 1, 8, . . .] ...
Elementary mathematics
Elementary mathematics consists of mathematics topics frequently taught at the primary or secondary school levels. The most basic topics in elementary mathematics are arithmetic and geometry. Beginning in the last decades of the 20th century, there has been an increased emphasis on problem solving. Elementary mathematics is used in everyday life in such activities as making change, cooking, buying and selling stock, and gambling. It is also an essential first step on the path to understanding science.In secondary school, the main topics in elementary mathematics are algebra and trigonometry. Calculus, even though it is often taught to advanced secondary school students, is usually considered college level mathematics.