Mathpar Help

• Introduction
• Acquaintance and first steps
  • Input data and run the calculations
  • Mathematical functions
  • Actions with functions
  • Solution of the algebraic equation
  • Solution of the algebraic inequalities
  • Solution of the algebraic inequalities systems
  • Operations on subsets of the real numbers
  • Vectors and matrices
  • Generation of random elements
• Construction of 2D and 3D plots
  • Plotting functions
  • 3D function graphs plotting
  • Geometry
• Environment for mathematical objects
  • Setting of environment
  • Numerical sets with standard operations
  • Several numerical sets
  • Group algebras
  • Idempotent algebra and tropical mathematics
  • Constants
• Functions of one and several variables
  • Mathematical functions
  • Calculation of the value of a function in a point
  • Substitution of functions instead of ring variables
  • Calculation of the limit of a function
  • Differentiation of functions
  • Integration of the compositions of elementary functions
  • Simplification of compositions
  • Arithmetic-geometric mean
  • The complete elliptic integrals of the first and second kind
  • The period of a simple gravity pendulum
• Series
• Solution of systems of differential equations
  • The solution of first-order differential equations
  • Solution of differential equations
  • Solution of systems of differential equations
  • LaplaceTransform and InverseLaplaceTransform
  • Calculation of the characteristics of dynamic objects and systems
• Polynomial computations
  • Calculation of the value of a polynomial at the point
  • Factorization of polynomials. Bringing polynomials to the standard form.
  • Geometric progression. Summation of polynomial with respect to the variables
  • Groebner basis of polynomial ideal
  • Calculations in quotient ring of ideal
  • Solution of systems of nonlinear algebraic equations
  • Other polynomial functions
• Matrix functions
  • Calculation of the transposed matrix
  • The calculation of adjoint and inverse matrices
  • Calculation of the matrix determinant and rank
  • Calculation of the conjugate matrix
  • Computing SVD-decomposition
  • Calculation of the generalized inverse matrix
  • Computation of the kernel and echelon form
  • Calculating the characteristic polynomial of matrix
  • Calculating LSU-decomposition of the matrix
  • LSUWMdet decomposition
  • Calculating Bruhat decomposition of the matrix
  • Linear programming
• The functions of the probability theory and statistics
  • Functions of the discrete random quantity
  • Function for sampling
• Operators of control. Procedural programming
  • Procedures and functions
  • Operators of branching and looping
• Calculations in idempotent algebras
  • Solving systems of linear algebraic inequalities
  • The solution of the Bellman equation
  • The solution Bellman inequality
  • Finding the shortest path between the vertices of the graph
• The calculations on a supercomputer
  • Parallel polynomial computations
  • Parallel matrix computations
• Operators and mathematical symbols
• Numerical Algorithms
  • Evaluation of definite and improper integrals
• Examples of solutions of physical problems
  • Transferring of the heat
  • Kinematics
  • Molecular Physics
  • Pendulum
• דוגמאות לפתרונות של בעיות פיזיות
  • הטרנספורמציה של החום
  • קינמטיקה
  • פיסיקה מולקולרית
• דוגמאות לפתרונות של בעיות מתמטיות
  • סידרה חשבונית
  • בעיה גיאומטרית