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Glossary of Notations

 i The square root of minus one. f(x) The value of the function f at argument x. sin x The value of the sine function at argument x. exp x The value of the exponential function at argument x. This is often written as ex. a^x The number a raised to the power x; for rational x is defined by inverse functions. ln x The inverse function to exp x. Same as a^x. The power you must raise b to in order to get a; cos x The value of the cosine function (complement of the sine) at argument x. tan x Works out to be cot x The value of the complement of the tangent function or sec x Value of the secant function, which turns out to be csc x Value of the complement of the secant, called the cosecant. It is asin x The value, y, of the inverse function to the sine at argument x. Means x = sin y. acos x The value, y, of the inverse function to cosine at argument x. Means x = cos y. atan x The value, y, of the inverse function to tangent at argument x. Means x = tan y. acot x The value, y, of the inverse function to cotangent at argument x. Means x = cot y. asec x The value, y, of the inverse function to secant at argument x. Means x = sec y. acsc x The value, y, of the inverse function to cosecant at argument x. Means x = csc y. A standard symbol for angle. Measured in radians unless stated otherwise. Used especially for when x, y, and z are variables used to describe point in three dimensional space. i, j, k Unit vectors in the x, y and z directions respectively. (a, b, c) A vector with x component a, y component b and z component c. (a, b) A vector with x component a, y component b. (a, b) The dot product of vectors a and b. The dot product of vectors a and b. The dot product of vectors a and b. |v| The magnitude of the vector v. |x| The absolute value of the number x. Used to denote a summation, usually the index and often their end values are written under it with upper end value above it. For example the sum of j for j=1 to n is written as This signifies 1 + 2 + … + n. M Used to represent a matrix or array of numbers or other entities. |v> A column vector, that is one whose components are written as a column and treated as a k by 1 matrix.