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Bivariate (two variable) quadratic function(y minimum/maximum)

A bivariate (two variable) quadratic function is a second-degree polynomial which describes a quadratic surface and has the form: f(x,y)=Ax^2 + By^2 + Cx + ... more

Bivariate (two variable) quadratic function(x minimum/maximum)

A bivariate (two variable) quadratic function is a second-degree polynomial which describes a quadratic surface and has the form: f(x,y)=Ax^2 + By^2 + ... more

Discriminant of the Quadratic Equation

In algebra, the discriminant of a polynomial is a function of its coefficients, typically denoted by a capital 'D’ or the capital Greek letter Delta ... more

Vieta's formulas ( sum of quadratic polynomial roots)

In mathematics, Vieta’s formulas are formulas that relate the coefficients of a polynomial to sums and products of its roots.
P(x)=ax^2 + bx + c,

... more

Cubic equation

Solves a univariate polynomial equation of the third degree.

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Quartic equation

Solves a univariate polynomial equation of the fourth degree. (For possitive values of x)

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Quadratic equation

Solves a univariate polynomial equation of the second degree. This formula will calculate both roots and both real and complex roots.

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Vieta's formulas ( product of quadratic polynomial roots)

In mathematics, Vieta’s formulas are formulas that relate the coefficients of a polynomial to sums and products of its roots.
P(x)=ax^2 + bx + c,

... more

Y-Coordinate of the focus of the parabola of a Quadratic Function

A parabola is a graph of a quadratic function, such as y=ax^2+bx+c. A parabola is the set of all points equidistant from a point that is called the focus ... more

Y-Coordinate of the vertex, of the parabola of a Quadratic Function

Parabolas with axes of symmetry parallel to the y-axis have equations of the form y=ax^2+bx+c.
The x-coordinate and y-coordinate at the vertex can be ... more

Critical point of a cubic function ( local maximum )

A cubic function is a function of the form f(x): ax3 + bx2 + cx + d.
The critical points of a cubic equation are those values of x where the slope of ... more

Critical point of a cubic function ( local minimum )

A cubic function is a function of the form f(x): ax3 + bx2 + cx + d.
The critical points of a cubic equation are those values of x where the slope of ... more

X-Coordinate of the vertex, of the parabola of a Quadratic Function

Parabolas with axes of symmetry parallel to the y-axis have equations of the form y=ax^2+bx+c.
The x-coordinate and y-coordinate at the vertex can be ... more

Quadratic Equation 1st Root

A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may ... more

Quadratic Equation 2nd Root

A quadratic equation with real or complex coefficients has two solutions, called roots. These two solutions may or may not be distinct, and they may or may ... more

Maximum Spring Force (Fully Compressed)

A spring is an elastic object used to store mechanical energy. Springs are usually made out of spring steel. Small springs can be wound from pre-hardened ... more

Drag equation ( for fluids)

Drag (sometimes called air resistance, a type of friction, or fluid resistance, another type of friction or fluid friction) refers to forces acting ... more

Root mean square of phase-to-phase voltage

In mathematics, the root mean square , also known as the quadratic mean, is a statistical measure of the magnitude of a varying quantity. In a balanced ... more

Elliptic curve (equation)

In mathematics, an elliptic curve (EC) is a smooth, projective algebraic curve of genus one, on which there is a specified point.Any elliptic curve can be ... more

Möbius transformation (Möbius function)

In geometry and complex analysis, a Möbius transformation of the plane is a rational function of one complex variable. A Möbius transformation can be ... more

Descartes' theorem ( externally tangent circle to three given kissing circles)

In geometry, Descartes’ theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain ... more

Descartes' theorem ( internally tangent circle to three given kissing circles)

n geometry, Descartes’ theorem states that for every four kissing, or mutually tangent, circles, the radii of the circles satisfy a certain quadratic ... more

Miller's Rule

In optics, Miller’s rule is an empirical rule which gives an estimate of the order of magnitude of the nonlinear coefficient.

More formally, ... more

Hill equation

In biochemistry, the binding of a ligand to a macromolecule is often enhanced if there are already other ligands present on the same macromolecule (this is ... more

Critical Buckling Stress of a Column with Buckling Coefficient

Column or pillar in architecture and structural engineering is a structural element that transmits, through compression, the weight of the structure above ... more

Ellipsoidal Coordinate ("y" cartesian coordinate)

Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system that generalizes the two-dimensional elliptic coordinate system. Unlike most ... more

Ellipsoidal Coordinate ("z" cartesian coordinate)

Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system that generalizes the two-dimensional elliptic coordinate system. Unlike most ... more

Ellipsoidal Coordinates ("x" cartesian coordinate)

Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system that generalizes the two-dimensional elliptic coordinate system. Unlike most ... more

Chladni's Law

Chladni’s law, named after Ernst Chladni, relates the frequency of modes of vibration for flat circular surfaces with fixed center as a function of ... more

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