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  Encyclopedia of Keywords > Matrix > Inverse   Michael Charnine

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    This Review contains major "Inverse"- related terms, short phrases and links grouped together in the form of Encyclopedia article.


  1. The inverse is computed by solving the system A x = b for each column of the identity matrix. (Web site)
  2. Its inverse is self-valorisation; proletarians assigning and creating their own value and defending those values from capitalism. (Web site)
  3. An inverse is an object X -1 such that both X ⊗ X -1 and X -1 ⊗ X are isomorphic to 1, the one object of the monoidal category.
  4. The inverse is also true, if 2 can be used to generate a normal basis then so can.
  5. The inverse is true for the Pays d'Oc wines labelled with the grape variety.


  1. If the determinant of the (square) matrix is exactly zero, the matrix is said to be singular and it has no inverse. (Web site)
  2. I - A is not singular; The matrix (I + A) * Inverse (I - A) is orthogonal; If the order of A is odd, then the determinant is 0.
  3. If the matrix A is found singular in the first step, a generalized inverse is computed. (Web site)

Inverse Operation

  1. This definition ensures that division is the inverse operation of multiplication. (Web site)
  2. ECC's advantage is this: its inverse operation gets harder, faster, against increasing key length than do the inverse operations in Diffie Hellman and RSA.
  3. The indefinite integral is the antiderivative, the inverse operation to the derivative. (Web site)


  1. First we described finding the inverse of a matrix by mentioned neural network.
  2. An important advantage of the MBF is that it does not require finding the inverse of the covariance matrix. (Web site)
  3. Finding the eccentric anomaly at a given time (the inverse problem) is more difficult. (Web site)


  1. The Cramér-Rao inequality states that the inverse of the Fisher information is an asymptotic lower bound on the variance of any unbiased estimator of θ.
  2. Given independent errors, a particular weight should ideally be set to the inverse of the variance of the corresponding distance estimate. (Web site)


  1. For example, in the category of sets, if X is a subset of Z, then, for any g: Y → Z, the pullback X × Z Y is the inverse image of X under g. (Web site)
  2. Let (X i, f ij) be an inverse system of objects and morphism s in a category C (same definition as above).
  3. Inverse limits in the category of topological spaces are given by placing the initial topology on the underlying set-theoretic inverse limit. (Web site)


  1. A reflection is its own inverse, which implies that a reflection matrix is symmetric (equal to its transpose) as well as orthogonal. (Web site)
  2. It is symmetric since which by continuity of the inverse is another open neighbourhood of the identity. (Web site)

Standard Normal Distribution

  1. The transformation of y ik is where Φ −1 is the inverse of the cumulative function of the standard normal distribution.
  2. In Microsoft Excel the function NORMSDIST() calculates the cdf of the standard normal distribution, and NORMSINV() calculates its inverse function. (Web site)


  1. Thus, g must equal the inverse of ƒ on the range of ƒ, but may take any values for elements of Y not in the range. (Web site)
  2. Use the inverse trigonometric functions to get the values of the coordinates.
  3. DISCRINV(randprob, values, probabilities) returns inverse cumulative values for a discrete random variable.


  1. With the use of a continuous source, the signal to noise ratio will be proportional to the inverse of the square of the number of simultaneous users. (Web site)
  2. Inverse element Every number x, except zero, has a multiplicative inverse,, such that.
  3. This additive inverse is unique for every real number.

Wildcard Mask

  1. It is a commonly held belief that a wildcard mask is simply the inverse of a subnet mask, and this is often the case, but not necessarily.


  1. We also introduced some basic concepts and notations: transpose, inverse, scalar (inner) product, outer product, and LU-factorization. (Web site)
  2. You can also use the following functions: transp, inverse, det, scalar for scalar multiplication of vectors. (Web site)
  3. Properties of additive identity and additive inverse (v is a vector in R^n, and c is a scalar): 1.

Non-Zero Vector

  1. Inversion of a vector One of the powerful properties of the Geometric product is that it provides the capability to express the inverse of a non-zero vector.
  2. One of the powerful properties of the Geometric product is that it provides the capability to express the inverse of a non-zero vector.


  1. It is not difficult to see, that this functor is actually inverse to the restriction of the canonical localization functor mentioned in the beginning. (Web site)


  1. We then perform an inverse operation with respect to the cage. (Web site)
  2. In mathematics, the inverse of an element x, with respect to an operation *, is an element x such that their compose gives a neutral element.
  3. Note that the second operation may not have an identity element, nor do we need to find an inverse for every element with respect to this second operation. (Web site)


  1. From the mathematic point of view, solving the equation obtain inverse of function or an iterative approach give us functional inverse.
  2. And since P is invertible, we multiply the equation from the right by its inverse and QED.
  3. This equation arises naturally in many problems in physics and mathematics, as the inverse of a differential equation. (Web site)


  1. However, in this particular example, the 5 × 5 coefficient matrix is nonsingular and so has an inverse (Theorem NI, Definition MI).


  1. The function (sin x) –1 is the multiplicative inverse to the sine, and is called the cosecant. (Web site)


  1. A semigroup differs from a group in that for each of its elements there might not exist an inverse; further, there might not exist an identity element. (Web site)
  2. For full proof, refer: Neutral element The inverse of any element in the group is unique. (Web site)
  3. For example, a subset of a group closed under the group actions of multiplication and inverse is again a group. (Web site)

Giving Rise

  1. Ring: a semiring with a unary operation, additive inverse, giving rise to an inverse element equal to the additive identity element. (Web site)


  1. Also, computing the inverse is a complicated process fraught with pitfalls whereas the computation of the adjoint is easy. (Web site)
  2. Adjoint by Inverse Finds the adjoint of a square, nonsingular matrix. (Web site)
  3. The inverse of the Hessian of a two variable production function gan be computed by using the adjoint.

Conjugate Transpose

  1. Since the CKM matrix is unitary (and therefore its inverse is the same as its conjugate transpose), we'd get essentially the same matrix.
  2. If the matrix is unitary, the inverse transition matrix is the conjugate transpose.


  1. The logit function is the inverse of the "sigmoid", or "logistic" function used in mathematics, especially in statistics. (Web site)
  2. In mathematics, the super-logarithm is one of the two inverse functions of tetration.
  3. In mathematics, an inverse function is in simple terms a function which "does the reverse" of a given function.

Continuous Bijection

  1. Mathematics A continuous bijection between two figures whose inverse is also continuous.
  2. Sure. The function defined by is a continuous bijection, but its inverse is not continuous.


  1. Matrix operations: addition, scalar multiplication, multiplication, transpose, inverse, and expressions involving these operations.
  2. Specifically, elements in semirings do not necessarily have an inverse for the addition.
  3. A homomorphism with an inverse is called an isomorphism, and is called a strict isomorphism if in addition f(x)= x + terms of higher degree.

Constant Map

  1. Now, in addition, we can see that we have an identity element e(t) = x (a constant map) and further that every loop has an inverse. (Web site)


  1. Included are < on natural numbers, and relations formed by inverse images, addition, multiplication, and exponentiation of other relations.
  2. The inverse function to exponentiation with base b (when it is well-defined) is called the logarithm with base b, denoted log b.


  1. For example, addition and subtraction are inverse operations, as are multiplication and division. (Web site)
  2. Additive inverses are unique, and one can define subtraction in any ring using the formula $a-b:= a + (-b)$ where $-b$ is the additive inverse of $b$.


  1. More ops: inverse, rank, determinant, eigenvalues, eigenvectors, norm, solve, condition number, singular values. (Web site)
  2. Many sample matrices are available with known inverse, determinant, eigenvalues, rank, symmetry, and other properties.
  3. Since it is positive-definite, all eigenvalues of Riemannian metric are positive, and hence it has the inverse denoted as.


  1. Remember the Jacobian is a N by M matrix and is without an inverse. (Web site)
  2. A necessary and sufficient condition for this inverse function to exist is that the determinant of the Jacobian should be different from zero. (Web site)

Hessian Matrix

  1. However, due to the complexity of computing the inverse of the Hessian matrix, this solution will be excluded.
  2. The Newton method can achieve a superlinear convergence by defining as the inverse of the Hessian matrix of.


  1. The inverse of an element x of an inverse semigroup S is usually written x -1.
  2. Since the inverse of an orthogonal matrix is its transpose, this relationship may be written B = Q -1 * A * Q = Q' * A * Q.
  3. The fit function in GLS, WLS (ADF), and DWLS estimation contain the inverse of the (Cholesky factor of the) weight matrix W written in the OUTWGT= data set. (Web site)


  1. Lambert's W function: inverse of f(w) = w exp(w). (Web site)
  2. So exp(x) is the inverse of log(x).
  3. This is the inverse function of the exponential function, Exp, i.e. (Web site)

Fourier Transform

  1. The smoother a function is, the more rapidly decreasing its Fourier transform (or inverse Fourier transform) is (and vice versa).
  2. There is also less symmetry between the formulas for the Fourier transform and its inverse. (Web site)

Original Function

  1. Integration is the inverse of differentiation, so integrating the differential of a function returns the original function. (Web site)
  2. Using the inverse function theorem, a derivative of a function's inverse indicates the derivative of the original function.
  3. Note that the Inverse Function is symmetric to the original function with respect to the Identity Function. (Web site)

Standard Deviation

  1. GAMINV(probability, mean, stdevn) returns inverse cumulative values for a gamma random variable, parameterized by its mean and standard deviation.


  1. Morphisms: all functions such that the inverse image of every closed set is closed. (Web site)
  2. The morphisms have to be morphisms in the corresponding category, and the inverse limit will then also belong to that category.
  3. Let (X i, f ij) be an inverse system of objects and morphisms in a category C (same definition as above).


  1. If we have morphism, and a sheaf of ideal on, then the inverse image sheaf is therefore a subsheaf of, whose action on makes it an algebra.
  2. That's exactly right, at least for 2-groups: monoidal categories where every morphism has an inverse and every object has a weak inverse. (Web site)
  3. The morphism g is called the inverse of f, written g = f -1.

Unit Quaternion

  1. It can be proved that the inverse of a unit quaternion is obtained simply by changing the sign of its imaginary components. (Web site)

Logarithm Function

  1. Since the inverse of the logarithm function is the exponential function, we have. (Web site)
  2. For each positive base, b, other than 1, there is one logarithm function and one exponential function; they are inverse functions.


  1. If in addition the map and its inverse are continuous (with respect to the phase space coordinate z), then it is called a homeomorphism.
  2. In particular, every inner automorphism is a homeomorphism (since both that and its inverse are continuous) and is hence a topological automorphism. (Web site)
  3. The inverse of a continuous bijection need not be continuous, but if it is, this special function is called a homeomorphism. (Web site)

Bijective Map

  1. Formally, an isomorphism is a bijective map f such that both f and its inverse f −1 are homomorphisms, i.e.
  2. Given two differentiable manifolds M and N, a bijective map f from M to N is called a diffeomorphism if both and its inverse are smooth functions.
  3. A homeomorphism is a bijective map whose inverse is also continuous.


  1. If an inverse monoid is cancellative, then it is a group. (Web site)
  2. An inverse monoid, is a monoid where for every a in M, there exists a unique a -1 in M such that a = a * a -1 * a and a -1 = a -1 * a * a -1. (Web site)
  3. Group: a monoid with a unary operation, inverse, giving rise to an inverse element equal to the identity element.


  1. If a morphism has both left-inverse and right-inverse, then the two inverses are equal, so f is an isomorphism, and g is called simply the inverse of f. (Web site)
  2. B is the inverse of A; a matrix that has no inverse is called noninvertible or singular.Nonsquare matrices do not have inverses.
  3. The inverse of a product is the product of the inverses in the opposite order: (a * b) −1 = b −1 * a −1. (Web site)


  1. Logarithms tell how many times a number x must be divided by the base b to get 1, and hence can be considered an inverse of exponentiation. (Web site)
  2. Because the log function is the inverse of the exponential function, we often analyze an exponential curve by means of logarithms.
  3. One double logarithms é the inverse one of the function: exponential pair.


  1. The logarithm of a matrix is the inverse of the matrix exponential.
  2. The logarithm is the mathematical operation that is the inverse of exponentiation, or raising a number (the base) to a power.
  3. Because the function is a many-to-one function, its inverse (the logarithm) is necessarily multivalued.

Inverse Kinematics

  1. Calculating the inverse of a matrix is a task often performed in order to implement inverse kinematics using spline curves. (Web site)
  2. For more information, see Inverse kinematic animation and Inverse kinematics.


  1. Matrix
  2. Information > Science > Mathematics > Function
  3. Element
  4. Science > Mathematics > Algebra > Isomorphism
  5. Continuous

Related Keywords

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  Originally created: April 04, 2011.
  Links checked: March 08, 2013.
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