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97765133542
iVBORw0KGgoAAAANSUhEUgAAABAAAAALCAIAAAD5gJpuAAAABGdBTUEAAK/INwWK6QAAABl0RVh0U29mdHdhcmUAQWRvYmUgSW1hZ2VSZWFkeXHJZTwAAAHzSURBVHjaYkxOP8IAB//+Mfz7w8Dwi4HhP5CcJb/n/7evb16/APL/gRFQDiAAw3JuAgAIBEDQ/iswEERjGzBQLEru97ll0g0+3HvqMn1SpqlqGsZMsZsIe0SICA5gt5a/AGIEarCPtFh+6N/ffwxA9OvP/7//QYwff/6fZahmePeB4dNHhi+fGb59Y4zyvHHmCEAAAW3YDzQYaJJ93a+vX79aVf58//69fvEPlpIfnz59+vDhw7t37968efP3b/SXL59OnjwIEEAsDP+YgY53b2b89++/awvLn98MDi2cVxl+/vl6mituCtBghi9f/v/48e/XL86krj9XzwEEEENy8g6gu22rfn78+NGs5Ofr16+ZC58+fvyYwX8rxOxXr169fPny+fPn1//93bJlBUAAsQADZMEBxj9/GBxb2P/9+S/R8u3vzxuyaX8ZHv3j8/YGms3w8ycQARmi2eE37t4ACCDGR4/uSkrKAS35B3TT////wADOgLOBIaXIyjBlwxKAAGKRXjCB0SOEaeu+/y9fMnz4AHQxCP348R/o+l+//sMZQBNLEvif3AcIIMZbty7Ly6t9ZmXl+fXj/38GoHH/UcGfP79//BBiYHjy9+8/oUkNAAHEwt1V/vI/KBY/QSISFqM/GBg+MzB8A6PfYC5EFiDAABqgW776MP0rAAAAAElFTkSuQmCC
Andrey Ivashov (75.8%), Anonymous (13.5%), tivasyk (10.5%), Other (0.3%)
2014.02.10.03
d54d74e83ab84e518dd54929051f09ed
//583
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Also, please contact the author of this program with any additional help you can provide: andrey@smath.info.\nThank you for any help and thanks for using SMath Studio.
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//124
Finds the derivative of expression {0} relative to variable {1}.
X-Y plot.
Simplify expression.
Natural logarithm.
Returns the hyperbolic sine.
Returns the hyperbolic cosine.
Returns the hyperbolic tangent.
Returns the hyperbolic cotangent.
Returns the hyperbolic secant.
Returns the hyperbolic cosecant.
Returns the inverse hyperbolic sine.
Returns the inverse hyperbolic cosine.
Returns the inverse hyperbolic tangent.
Returns the inverse hyperbolic cotangent.
Returns 0 if x=0, 1 if x>0, and -1 otherwise. Argument must be a real number.
Returns the inverse sine.
Returns the inverse cosine.
Returns the inverse tangent.
Returns the inverse cotangent.
Returns the sine.
Returns the cosine.
Returns the tangent.
Returns the cotangent.
Returns the secant.
Returns the cosecant.
Returns the base 10 logarithm of a number.
Returns the logarithm of {0} to the specified base {1}.
Percent. For example, if {1} is 5 and {0} is 100, then this function returns 5% of 100.
Square root.
Root.
Matrix trace - sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of a square matrix.
Absolute value.
Matrix determinant.
Matrix rank.
Inverted value.
Matrix transpose.
Returns the angle from the real axis to the given complex number.
Returns submatrix with the specified row ({1}) and column ({2}) removed from the given matrix ({0}).
Minor of matrix.
Cofactor (algebraically signed minor) of matrix.
Matrix.
System of values or equations.
Returns the inverse secant.
Returns the inverse cosecant.
Definite integral of an expression {0} with independent variable {1}. {2}-lower limit, {3}-upper limit.
Returns the trigonometric view of algebraic number.
Returns the specified row {1} of the matrix/vector {0}.
Returns the specified column {1} of the matrix/vector {0}.
Returns the specified element {1} of the vector {0}.
Returns the number of rows of the matrix/vector.
Returns the number of columns of the matrix/vector.
Converts the rectangular coordinates of a point in 2D space to polar coordinates.
Converts the polar coordinates of a point in 2D space to rectangular coordinates.
Summation of an expression {0} in summation variable {1} with lower limit {2} and upper limit {3}.
Iterated product. Product of an expression {0} in variable {1} with lower limit {2} and upper limit {3}.
Returns the real part of a complex number.
Returns the imaginary part of a complex number.
Returns the roots of the polynomial whose coefficients are in {0}.
Returns the exponential function, e raised to the power {0}.
Returns the largest element of vector or matrix. If any value is complex, returns max(Re(...)) + i*max(Im(...)).
Returns the smallest element of vector or matrix. If any value is complex, returns min(Re(...)) + i*min(Im(...)).
Returns the submatrix consisting of elements in rows {1} through {2} and columns {3} through {4}.
Returns a vector of eigenvalues for the given square matrix.
Returns the integer part of a real number {0} by removing the fractional part.
Rounds the real number {0} to {1} places.
Returns the remainder on dividing the {0} by {1}. Arguments must be real.
Returns an n x n identity matrix (a matrix of 0's with 1's along the diagonal). {0} must be a positive integer.
Returns the number of elements in the matrix or vector. Returns a scalar.
Returns {1}-statement if logical {0}-statement is true (non-zero), {2}-statement otherwise.
Returns a random number within the range of 0 to {0}. Results are uniformly distributed within the range.
Returns real roots of expression {0} with respect to variable {1}.
For loop. The function of controlled iterations. The cycle repeats {3}, while {0} satisfies the condition {1} and after each passage necessarily satisfied {2}. Repeating expressions can be set to any number of expressions.
Serves for a choice of one of variants of execution of a code from several mutually exclusive.
A function for iterating. The loop body, {1} is repeatedly executed as long as the condition {0} is true. Multiple expressions can be included in {1} by means of the line(...) function.
For grouping 2 or more lines of code into a block.
Returns a zero matrix of the specified size {0}-rows, {1}-columns.
Expression limit.
Write math expression {0} to a file {1}. If a file with the given {1} exists, it will be overwritten. The function returns '1' if successful, otherwise '0'.
Read math expression from file, if such file exists. Often returns symbolic result.
Remove file from file system, if such file exists. The function returns '1' if successful, otherwise '0'.
Returns a vector (column matrix) of values within the range of {0} to {1}, inclusive. Each value is obtained by adding a step equal to 1 to the previous value, starting with {0}. {1} does not necessarily appear in the output vector.
Gamma function.
Returns a 2-element vector (2x1 matrix) of the numerator and denominator of {0}.
Returns an array formed by placing arguments top to bottom. Arguments are matrices/vectors having the same number of columns, or they are scalars and vectors. (A vector is a column matrix.)
Returns a square matrix containing on its diagonal the elements of the given vector (a vector is a column matrix).
Returns a matrix formed by placing the arguments left to right. Arguments are matrices/vectors having the same number of rows, or they are scalars and row matrices.
Converts the given expression from symbolic to numeric notation.
Returns a linearly interpolated y-value at x={2} for data vectors x-vector {0} and y-vector {1} of the same size. (A vector is a column matrix.)
Returns a cubic-spline interpolated y-value at x={2} for data vectors x-vector {0} and y-vector {1} of the same size. (A vector is a column matrix.)
Returns an Akima-spline interpolated y-value at x={2} for data vectors x-vector {0} and y-vector {1} of the same size. (A vector is a column matrix.)
Returns the infinity norm of the matrix.
Returns the L1 norm of the matrix.
Returns the Euclidean norm of the matrix.
Returns a vector with the values sorted in ascending order. (A vector is a column matrix.)
Returns a matrix/vector {0} formed by rearranging columns until specified row {1} is in ascending order.
Returns a matrix/vector {0} formed by rearranging rows until specified column {1} is in ascending order.
Reverses the order of rows in a matrix, or of elements in a vector. (A vector is a column matrix.)
Returns math expression formed by converting from specified string.
Converts specified math expression to a string.
Returns the string formed by concatenating the given strings.
Returns a vector (a column matrix) of the start positions of string {1} within string {0}, or -1 if no matches found.
Returns a substring of {0}. {1} is a starting character position of substring.
Replaces all occurrences of the string {1} within string {0} with the string {2}.
Returns the number of characters in specified string.
Returns 1 if specified argument is a string. Returns 0 otherwise.
Shows standard SMath Studio error tip with text from the function's argument.
Returns a matrix of loaded data from specified file using default parsing parameters.
Returns a matrix of loaded data from specified file {0}. Function can be used with 1-9 of the arguments specified. Digit 0 (zero) can be used for the arguments (except {0}) to get the built-in default values. Function is able to read data with manually specified Decimal Symbol ({1}), Arguments Separator ({2}) and columns delimiters ({3}). To read a specific region of the data file rows an columns ranges can be requested ({4} - start row, {5} - end row, {6} - start column, {7} - end column). To read a data represented symbolically {8} can be set to 1.
Exports a matrix of data to the specified file using default export parameters.
Exports a matrix of data to the specified file. Function can be used with 2-10 of the arguments specified. Digit 0 (zero) can be used for the arguments (except 'dataMatrix' and 'fileName') to get the built-in default values.
Returns 1 if all variables and functions in the expression are defined, 0 - otherwise.
Finds roots for system of nonlinear equations. Returns the values of {1} to make the set of functions {0} equal to zeros.
Finds roots for system of nonlinear equations according to specified approaches {2}. Returns the value of {1} to make the set of functions {0} equal to zeros.
Returns the Jacobian matrix of the vector function {0}.
Returns the element of the matrix {0} in the row {1} and column {2}.
Returns real roots of expression {0} with respect to variable {1} in the interval between {2} and {3}.
Finds the order {2} derivative of expression {0} relative to variable {1}.
For loop. The function of controlled iterations. The cycle repeats {2}, while {0} uses all the values from {1}. Repeating expressions can be set to any number of expressions.
Returns a vector (column matrix) of values within the range of {0} to {1}, inclusive. Each value is obtained by adding a difference between {2} and {0}. {1} does not necessarily appear in the output vector.
Returns a substring of {0}. Where {1} is a starting character position of substring; {2} is a length of result string.
Returns a string containing the value of the arguments with output order and surrounding text specified by first argument. Outputs values in the Output Window. Specifying of the first text argument is optional.
Summation of the vector/matrix elements.
Retrieves all rows of the {0} where {1} exists in column {2}. Returns 0 if no matches found.
Returns Description text of the definition {0} using current language.
//96
Fill in all empty elements.
Provide an operator.
- not defined.
Systems not supported.
Argument must be scalar.
Limits must be integer.
Type conversion error. Please contact the developer.
Argument of zero is not defined.
There is no result.
Critical error occurred.
If restoration is unsuccessful, you will find emergency preservation of the data in the following folder:
Uncertainty.
Argument must be a positive integer.
Coefficient of rounding should be in the range from 0 to 15 inclusive.
The variable of integration is not specified, or specified incorrectly.
Limits must be real.
No real roots.
Inequalities are not supported.
Cannot find file:
Variable and function names can't start with a number.
One or more items on this page cannot be displayed.
{0} error(s) occurred while parsing your .xmcd document. This file cannot be fully parsed with this version of the program. Please check for program updates, otherwise send the document to the developers so that it can be supported in the future.
Real part of the argument must be greater than zero.
{0} error(s) occurred while saving your .xmcd document. The installed version of the program can't fully save the document in the selected format. Please save the document in SMath Studio (*.sm) file format.
Array dimensions do not match.
Calculation interrupted by user.
Argument must be a vector (a column matrix).
File {0} was created using later version of {1}: {2}.
File {0} requires newer version of plugin {1}: {2} or higher.
File {0} requires the following plugin to be installed: {1} (version: {2}; GUID: {3}).
A problem occurred while opening file {0}.
The result content you will see on the page may be wrong. Do you want to open the file {0} anyway?
Error occured while trying to load third-party assembly. Plugin disabled.
Plugin {0} requires later version of {1}: {2} or higher.
Plugin {0} requires newer version of additional plugin {1} to be installed: {2} or higher.
Plugin {0} requires additional plugin to be installed: {1} (version: {2}; GUID: {3}).
A problem occurred while loading plugin {0}.
Note, unexpected visual and/or calculation errors can appear using this plugin. Do you want to enable plugin {0} anyway?
Wrong domain name or IP address specified.
Wrong login name specified.
Wrong password specified.
Wrong Session ID specified.
- function is not defined.
Result is above max. allowed positive number.
Result is below min. allowed negative number.
Argument must be a string.
Cannot parse string:
Function has some invalid arguments.
Action could not be performed with text.
Result is above max. allowed for byte.
File has wrong format. Data import cannot be performed.
File is empty. No data imported.
Result is above max. allowed when increasing.
Result is below min. allowed when decreasing.
Increase max. number length ('Menu' >> 'Options' >> 'Calculation' >> 'Max. number length').
Variables should be defined for argument-functions.
Number base must be within the range of 1 to 37.
Division by zero.
Logarithm of zero is not defined.
Argument must be a real number.
Number of rows and/or columns of matrices or vectors do not match.
Number of rows and/or columns of matrices or vectors do not match.
Divisor matrix must be square.
Cross product can only be calculated for three-component vectors (3 rows x 1 column).
Cannot calculate.
Matrix must be square.
Factorial is defined for real numbers and zero.
Matrix is noninvertible (determinant equals zero)
Syntax is incorrect.
Argument cannot be scalar; must be matrix or vector.
Cannot solve. Check program options.
Logarithm cannot have 0 as its base.
Logarithm cannot have 1 as its base.
Can't parse matrix (Matrices within matrices not supported).
Units don't match.
Cannot insert.
Cannot parse
Please select an expression or part of an expression.
Export error.
Operation cannot be performed with units.
Argument doesn't match to expected kind.
Equation too long to be displayed.
Result placed on the clipboard.
Highlight variable.
Assign variable.
File does not exist.
Fill in file name.
File already exists. Do you want to continue?
Requested matrix element doesn't exist.
Password cannot be empty.
Password entries do not match.
Password does not match.
Output value must be defined for the called procedure.
{0} requires the following plug-in(s) to be installed and enabled. Please ensure dependencies are resolved before continuing.
Not all dependencies resolved. Do you want to continue anyway? Press "No" to abort {0} loading.
Plug-in(s) installation failed.
//133
Contents
Identities
Exponent properties
Properties of arithmetic roots
Properties of fractions
Proportions
Polynomial multiplication and factorization
Average values of final array of elements
Absolute-value properties
Theory of combinations
Factorial
Double factorial
Newton's symbol
Basic concepts
Progressions
Arithmetic progression
Geometrical progression
Trigonometry
General concepts
Table of values of trigonometric functions
Reduction formulas
Signs on trigonometric functions
Definitions
Functional relations of a single angle
Argument addition formulas
Argument multiplication formulas
Addition of trigonometric functions
Multiplication of trigonometric functions
Formulas of power reduction
Half angle formulas
Universal trigonometric substitution
Inverse trigonometric functions
Relations of angles in a triangle
Formulas of oblique-angled triangles
Transformation of expressions
Logarithms
Definition of a logarithm
Basic logarithmic identities
Properties of logarithms
Analytical geometry (R2)
Straight line
Distances
Relations between objects
Straight lines of the second order
Circle
Ellipse
Hyperbola
Parabola
Systems of coordinates
Appendices
Analytical geometry (R3)
Plane
Straight line
Distances
Vector
Relations between objects
Appendices
Matrices
Matrix operations
Properties of determinants
Determinant operations
Inverse matrix
Derivatives
Definition of a derivative
Table of derivatives
Rules of differentiation
Logarithmic derivative
Parametric functions
Appendices
Limits
Properties of limits
Classical limits
Equivalency of infinitely-small values
Comparison of infinitely-small values
Uncertainty transformation methods
Investigation of graphs of functions
Differential calculus
Basic concepts
Integrals
Table of integrals
Main rules
Euler's substitutions
Universal trigonometric substitution
Method of uncertain coefficients
Appendices
Complex numbers
Definitions
Basic properties
Values of complex functions arguments
Series
Definitions
Decomposition into power series
Indications of series convergence
Table of functions expanded into power series
Appendices
Probability theory
Main rules
Solution of equations
Quadratic equations
Cubic equations
Power equations of higher orders
Trigonometric equations
Special cases of trigonometric equations
Logarithmic equations
Systems of linear algebraic equations
Differential equations
Solution of inequalities
Double inequalities
Power inequalities
Logarithmic inequalities
Trigonometric inequalities
Inverse trigonometric inequalities
Appendices
Mathematical constants
Mathematical designations
Mathematical functions
Greek alphabet
Latin alphabet
Conversion of degrees to radians
Conversion of radians to degrees
Sine theorem
Cosine theorem
Tangent theorem
if
n-set of Z
Converting to another base
Notation for base-10 logarithm
Notation for natural logarithm
Substitution of a variable
Integration in parts
Newton-Leibniz formula
Theorem of average
Improper integral
//153
Number 'zero'
Number 'one'
Number 'two'
Number 'three'
Number 'four'
Number 'five'
Number 'six'
Number 'seven'
Number 'eight'
Number 'nine'
Raise to '0'
Raise to '1'
Raise to '2'
Raise to '3'
Raise to '4'
Raise to '5'
Raise to '6'
Raise to '7'
Raise to '8'
Raise to '9'
Raise to '-1' (inverse)
Raise to '-2'
Raise to '-3''
Raise to '-4'
Raise to '-5'
Raise to '-6'
Raise to '-7'
Raise to '-8'
Raise to '-9'
Operator 'plus/minus'
Operator 'minus/plus'
Addition
Subtraction
Multiplication (dot product)
Cross product
Division
Definition
Evaluate numerically
Evaluate numerically in decimal fractions
Evaluate numerically in common fractions
Evaluate symbolically
Positive infinity
Number 'Pi'
Imaginary unit
Raise to power
Backspace
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Absolute value
Square root
Nth root
Arguments delimiter
Decimal point
Factorial
Boolean 'equal to'
Boolean 'less than'
Boolean 'greater than'
Boolean 'less than or equal to'
Boolean 'greater than or equal to'
Boolean 'not equal to'
Boolean 'not'
Boolean 'and'
Boolean 'or'
Boolean 'exclusive or (xor)'
Logarithm
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Hyperbolic sine
Inverse hyperbolic sine
Cosine
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Inverse hyperbolic cosine
Natural logarithm
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Inverse hyperbolic cotangent
Base 10 logarithm
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Hyperbolic secant
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Hyperbolic cosecant
Algebraic sign
Principal argument
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Definite integral
Remainder on dividing
Insert matrix or vector
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Vector 3x1
Vector 1x3
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Matrix transpose
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Minor
{0}
Matrix rank
{0}
Matrix trace
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If statement
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Number 'e'
Requires one operand.
Requires two operands.
Supports both one and two operands.
Returns 1 if x equal to y, 0 otherwise.
Returns 1 if x not equal to y, 0 otherwise.
Returns 1 if either x or y are non-zero (true). Returns 0 otherwise.
Returns 1 if either x or y, but not both, are non-zero (true). Returns 0 otherwise.
Returns 1 if both x and y are non-zero (true). Returns 0 otherwise.
Returns 1 if x less than y, 0 otherwise.
Returns 1 if x more than y, 0 otherwise.
Returns 1 if x equal to or less than y, 0 otherwise.
Returns 1 if x equal to or more than y, 0 otherwise.
Returns 1 if x is zero (false). Returns 0 otherwise.
Numeric calculation of the equation.
Symbolic calculation of the equation.
Equal sign for definition.
Returns the sum of x and y.
Subtracts y from x.
Returns the product of x and y.
Returns x divided by y. If y=0, returns an error message.
Returns x raised to the y-th power.
Returns a set of 2 values: the difference and sum of x and y.
Returns a set of 2 values: the sum and difference of x and y.
Returns the vector cross product of x and y.
Product of all positive integers less than or equal to operand.
Terminates the execution of the nearest enclosing loop in which it appears. Control passes to the statement that follows the terminated statement, if any.
Ends the current iteration of a loop.