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Options are not included in this list. Please refer to the index. $Context is the current default context. $ContextPath is the current search path. Abs[x] returns x if x 0 and x if x < 0. Accumulate[list] returns a list having the same length as list containing the successive partial sums of list. AddTo[x,y] or x + = y adds y to x and returns the new value of x. AffineShape[object, {xscale, yscale, zscale}] scales the x-, y-, and z-coordinates by xscale, yscale, and zscale, respectively. And[p, q] or p && q or p q is True if both p and q are True; False otherwise. Animate[expression, {k, m, n, i}] displays several different graphics images rapidly in succession, producing the illusion of movement. Animate[expression, {k1, m1, n1, i1}, {k2, m2, n2, i2], . . . ,] allows multiple parameters which can be independently controlled. Apart[ fraction] writes fraction as a sum of partial fractions. Append[list, x] returns list with x inserted to the right of its last element. ArcSin, ArcCos, ArcTan, ArcSec, ArcCsc, and ArcCot are the inverse trigonometric functions. Only the principal values, expressed in radians, are returned by these functions. ArcSinh, ArcCosh, ArcTanh, ArcSech, ArcCsch, and ArcCoth are the inverse hyperbolic functions. Array[f, n] generates a list consisting of n values, f[1], f[2], . . . , f[n]. Array[f, n, r] generates a list consisting of n values, f[i] starting with f[r], i.e., f[r] , f[r + 1],. . . ,f[r + n 1].
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APPENDIX
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Array[f,{m, n}] generates a nested list consisting of an array of m elements, each of which is an array of n elements, whose values are f[i,j] as j goes from 1 to n and i goes from 1 to m. Here f is a function of two variables. The second index varies most rapidly. Array[f,{m, n},{r, s}] generates a nested list consisting of an array of m elements, each of which is an array of n elements. The first element of the first sublist is f[r, s]. ArrayFlatten[{{m11, m12,...}, {m21, m22,...},...}]creates a single flattened matrix from a matrix of matrices mi j. All the matrices in the same row must have the same first dimension, and all the matrices in the same column must have the same second dimension. BarChart[datalist] draws a simple bar graph. datalist is a set of numbers enclosed within braces. BarChart[{datalist1, datalist2,...}] draws a bar graph containing data from multiple data sets. Each data list is a set of numbers enclosed within braces. BarChart3D[datalist] draws a 3-D bar graph corresponding to the numbers in datalist. BarChart3D[{datalist1, datalist2,...}] draws a bar graph containing data from multiple data sets. Cancel[ fraction] cancels out common factors in the numerator and denominator of fraction. The option Extension Automatic allows operations to be performed on algebraic numbers that appear in fraction. CartesianProduct[list1, list2] returns the Cartesian product of list1 and list2. Catalan is Catalan s constant and is approximately 0.915966. It is used in the theory of combinatorial functions. Ceiling[x] returns the smallest integer not less than x. Many textbooks represent this by x . CharacteristicPolynomial[matrix, var] returns the characteristic polynomial of matrix expressed in terms of variable var. CharacterRange["char1", "char2"] produces a list of characters from char1 to char2, based upon their standard ASCII values (assuming an American English alphabet). Characters[string] produces a list of characters in string. ChebyshevT[n, x] gives the Chebyshev polynomial (of the first kind) of degree n. Clear[symbol] clears symbol s definition and values, but does not clear its attributes, messages, or defaults. symbol remains in Mathematica s symbol list. Typing symbol =. will also clear the definition of symbol. Coefficient[polynomial, form] gives the coefficient of form in polynomial. Coefficient[polynomial, form, n] gives the coefficient of form to the nth power in polynomial. CoefficientList[polynomial, variable] gives a list of the coefficients of powers of variable in polynomial, starting with the 0th power. Collect[poly, var] takes a polynomial having two or more variables and expresses it as a polynomial in var. ColumnForm[list] presents list as a single column of objects. ColumnForm[list, horizontal] specifies the horizontal alignment of each row. Acceptable values of horizontal are Left (default), Center, and Right. ColumnForm[list, horizontal, vertical] allows vertical alignment of the column. Acceptable values of vertical are Above, Center, and Below (default). Complement[universe, list] returns a sorted list consisting of those elements of universe that are not in list. In this context, universe represents the universal set. Complement[universe, list1, list2] returns a sorted list consisting of those elements of universe that are not in list1 or list2. This command extends in a natural way to more than two sets. Composition[f1, f2, f3,...] constructs the composition f1 o f2 o f3... ConstantArray[c, {m, n}] generates an m n array, each element of which is c. Context[symbol] returns the context of symbol. ContourPlot[equation, {x, xmin, xmax}, {y, ymin, ymax}] plots equation by treating the equation as a function in three-dimensional space, and generates a contour of the equation cutting through the plane where z equals zero. ContourPlot[{equation1, equation2,...}, {x, xmin, xmax}, {y, ymin, ymax}] plots several implicitly defined curves. ContourPlot[f[x, y], {x, xmin, xmax}, {y, ymin, ymax}] draws a contour plot of f (x, y) in a rectangle determined by xmin, xmax, ymin, and ymax. ContourPlot3D[f[x, y, z], {x, xmin, xmax}, {y, ymin, ymax}, {z, zmin, zmax}] draws a three-dimensional contour plot of the level surface f(x, y, z) = 0 in a box determined by xmin, xmax, ymin, ymax, zmin, and zmax.
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