Four Colours vs Math Solver Pro

Could be a map of USA or your country colored using four colors in such a way that Nebraska and Missouri (as well as any two contiguous regions or states) wouldn’t be filled with one color? It turns out that you can manage to do it with any map. And this seems to be the first statement in science proved with computer aid. You can verify this statement for variety of maps, study up geography and visit Martin Gardner country by the way. Maps in this release: • Commonwealth of Australia, • Republic of Austria, • French Republic, • Federal Republic of Germany, • United Mexican States, • Republic of Poland, • Portuguese Republic, • Kingdom of Spain, • Kingdom of Sweden, • Swiss Confederation, • United States of America, • United Kingdom of Great Britain and Northern Ireland.

Math Solver Pro is a comprehensive tool designed for students, engineers, and anyone who works with math in their studies or profession. The app includes 100+ calculators and guides covering a wide range of mathematical topics. Each calculator includes a brief theoretical explanation and performs step-by-step calculations using the correct formulas — making it ideal for learning, checking homework, or quick reference on the go. Covered Topics: • Matrix operations • Determinants • Vector calculus • 2D and 3D analytic (Cartesian) geometry • 2D and 3D elementary geometry • Systems of linear equations • Algebra • Quadratic equations and more Key Features: • Over 100 calculators across major math fields • Step-by-step solutions with detailed explanations • Quick theory references for each task • Random number generator for creating practice problems • Multilingual support: English, French, German, Italian, Portuguese, Russian, Spanish, Ukrainian Whether you're preparing for exams or solving real-world engineering tasks, Math Task Solver makes it fast and easy. The application performs the following operations: • Matrix addition • Matrix subtraction • Matrix multiplication • Matrix multiplication by scalar • Matrix transpose • Matrix square • Determinant: Sarrus method • Determinant: Laplace method • Invertible matrix • Vector Length • Vector coordinates by two points • Vectors addition • Vectors subtraction • Scalar and vector multiplication • Scalar product of vectors • Cross product of vectors • Mixed triple product • Angle between two vectors • Projection of a vector onto another vector • Direction cosines • Collinear vectors • Orthogonal vectors • Coplanar vectors • Area of triangle formed by vectors • Area of a parallelogram formed by vectors • Volume of pyramid formed by vectors • Volume of a parallelepiped formed by vecto • General equation of a straight line • Slope equation of a straight line • Line equation in segments • Polar parameters of the line • Relationship between line and point • Distance between two points • Dividing a segment in half • Dividing a segment in a given ratio • Triangle area • Condition under which three points lie on the same line • Condition of parallel lines • Two lines are perpendicular • Angle between two lines • Bunch of lines • Relationship between a line and a pair of points • Point to line distance • Equation of a plane • Condition for parallel planes • Condition for perpendicular planes • Angle between two planes • Segments on axes • Equation of a plane in segments • Relationship between a plane and a pair of points • Point to plane distance • Polar parameters of the plane • Normal Equation of a Plane • Reducing the plane equation to normal form • Equations of a line in space • Canonical equation of a straight line • Parametric equations of a straight line • Direction vectors • Angles between line and coordinate axes • Angle between two lines • Angle between line and plane • Condition of parallel line and plane • Condition of perpendicularity of a line and a plane • Triangle area • Median of triangle • Triangle height • Pythagorean theorem • Radius of a circle circumscribing a triangle • Radius of a circle inscribed in a triangle • Area of a parallelogram • Area of a rectangle • Square area • Trapezoid area • Rhombus area • Circle area • Sector area • Length of the arc of a circle • Parallelepiped volume • Cuboid volume • Cube volume • Pyramid surface area • Pyramid volume • Truncated pyramid volume • Cylinder lateral surface area • Cylinder total area • Cylinder volume • Cone lateral surface area • Cone total surface area • Cone volume • Sphere surface area • Sphere volume • Substitution method • Cramer's method • Invertible matrix method • Quadratic Equations • Biquadratic Equations • Arithmetic progression • Geometric progression • Greatest Common Divisor • Least Common Multiple The application is being actively developed and supplemented with new calculators. Keep for updates!