Mathematics

cascade charts

Create a waterfall chart Select your data. Click Insert > Insert Waterfall or Stock chart > Waterfall. You can also ...

power(of a test)

Power is the probability that a test of significance will pick up on an effect that is present. Power is the probability that ...

pre-image

Noun. preimage (plural preimages) (mathematics) For a given function, the set of all elements of the domain that are mapped ...

step function

In mathematics, the step function is a function that has a constant value along given intervals, with the constant value ...

loop

1a : a curving or doubling of a line so as to form a closed or partly open curve within itself through which another line can ...

isogon

(?ais????n) noun. a polygon having all angles equal.

quadratic form

In mathematics, a quadratic form is a polynomial with terms all of degree two (“form” is another name for a ...

conjugate(of an algebraic number)

In mathematics, in particular field theory, the conjugate elements or algebraic conjugates of an algebraic element ?, over a ...

Laplace expansion

To begin, multiply the first column of A by 1000, the second column by 100, and the third column by 10. The determinant of the ...

jolt

Jolt is operations execution software available on smartphones and tablets that helps restaurants, retail, hospitality, and ...

Gaussian curvature

The Gaussian curvature of ? is K = ?1?2, and its mean curvature is H = 1 2 (?1 + ?2). To compute K and H, we use the first and ...

graphical solution

We can solve such a system of equations graphically. That is, we draw the graph of the 2 lines and see where the lines ...

Numberphile

Numberphile is an educational YouTube channel featuring videos that explore topics from a variety of fields of ...

projective space

Projective geometry can be thought of as the collection of all lines through the origin in three-dimensional space. That is, ...

tensor product

Legendre’s differential equation

The different types of differential equations are: Ordinary Differential Equations. Homogeneous Differential Equations. ...

angle(between planes)

Angle Between Two Planes in Vector Form For planes, r.n1 = d1 and r.n2 = d2, we will use the formula cos ? = |(n1 . ...

Pauli, Wolfgang Ernst (190058)

In 1925, Wolfgang Pauli introduced two new numbers and formulated the Pauli principle, which proposed that no two electrons in ...

separation of variables

Definition of separation of variables : a regrouping of the terms of a differential equation so that each differential has as ...

tridiagonal matrix

A tridiagonal matrix is a matrix that is both upper and lower Hessenberg matrix. In particular, a tridiagonal matrix is a ...

group action

A group with free action is said to act freely. The basic example of a free group action is the action of a group on itself by ...

principal axes(in mechanics)

The principal axis theorem states that the principal axes are perpendicular, and gives a constructive procedure for finding ...

form

The definition of form is the shape of a person, animal or thing or a piece of paperwork that needs to be filled out. An ...

complexity(of an algorithm)

Complexity of an algorithm is a measure of the amount of time and/or space required by an algorithm for an input of a given ...

hardware

Computer hardware includes the physical parts of a computer, such as the case, central processing unit (CPU), random access ...

Euler characteristic

The Euler characteristic is equal to the number of vertices minus the number of edges plus the number of triangles in a ...

first principles

A first principle is a basic assumption that cannot be deduced any further. Over two thousand years ago, Aristotle defined a ...

homogeneous polynomial

h(x/y) is a homogeneous function of degree n. For solving a homogeneous differential equation of the form dy/dx = f(x, y) = ...

Caesar cipher

A Caesar cipher is a simple method of encoding messages. Caesar ciphers use a substitution method where letters in the ...

dimension(linear algebra)

Dimension of a vector spaceAn important result in linear algebra is the following: Every basis for V has the same number of ...