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  2. Magnitude (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Magnitude_(mathematics)

    In mathematics, the magnitude or size of a mathematical object is a property which determines whether the object is larger or smaller than other objects of the same kind. More formally, an object's magnitude is the displayed result of an ordering (or ranking) of the class of objects to which it belongs.

  3. Cardinality - Wikipedia

    en.wikipedia.org/wiki/Cardinality

    In mathematics, cardinality describes a relationship between sets which compares their relative size. [1] ... and intersections are related by the following equation: ...

  4. Matrix (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Matrix_(mathematics)

    Matrices can be used to compactly write and work with multiple linear equations, that is, systems of linear equations. For example, if A is an m × n matrix, x designates a column vector (that is, n ×1 -matrix) of n variables x 1 , x 2 , ..., x n , and b is an m ×1 -column vector, then the matrix equation

  5. Equation - Wikipedia

    en.wikipedia.org/wiki/Equation

    The first use of an equals sign, equivalent to 14x + 15 = 71 in modern notation. From The Whetstone of Witte by Robert Recorde of Wales (1557). [1]In mathematics, an equation is a mathematical formula that expresses the equality of two expressions, by connecting them with the equals sign =.

  6. Square–cube law - Wikipedia

    en.wikipedia.org/wiki/Square–cube_law

    The square–cube law was first mentioned in Two New Sciences (1638).. The square–cube law (or cube–square law) is a mathematical principle, applied in a variety of scientific fields, which describes the relationship between the volume and the surface area as a shape's size increases or decreases.

  7. Area - Wikipedia

    en.wikipedia.org/wiki/Area

    The formula for the surface area of a sphere is more difficult to derive: because a sphere has nonzero Gaussian curvature, it cannot be flattened out. The formula for the surface area of a sphere was first obtained by Archimedes in his work On the Sphere and Cylinder. The formula is: [6] A = 4πr 2 (sphere), where r is the radius of the sphere.

  8. Stiff equation - Wikipedia

    en.wikipedia.org/wiki/Stiff_equation

    In mathematics, a stiff equation is a differential equation for which certain numerical methods for solving the equation are numerically unstable, unless the step size is taken to be extremely small. It has proven difficult to formulate a precise definition of stiffness, but the main idea is that the equation includes some terms that can lead ...

  9. Law (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Law_(mathematics)

    In mathematics, a law is a formula that is always true within a given context. [1] Laws describe a relationship, between two or more expressions or terms (which may contain variables), usually using equality or inequality, [2] or between formulas themselves, for instance, in mathematical logic.