The invariant factors of a module over a principal ideal domain (PID) occur in one form of the structure theorem for finitely generated modules over a...

and the invariant factors k1, ..., ku are uniquely determined by G (here with a unique order). The rank and the sequence of invariant factors determine...

form. This yields the invariant factor decomposition, and the diagonal entries of Smith normal form are the invariant factors. Another outline of a proof:...

p to give the final invariant factor; as long as M is non-empty, repeat to find the invariant factors before it. Invariant factors Smith normal form B...

The block Wiedemann algorithm can be used to calculate the leading invariant factors of the matrix, ie, the largest blocks of the Frobenius normal form...

the invariant factors of (the K[X]-module defined by) the matrix, and two matrices are similar if and only if they have identical lists of invariant factors...

Look up invariance, invariant, or invariants in Wiktionary, the free dictionary. Invariant and invariance may refer to: Invariant (computer science),...

f (λx) for some scale factor λ, which can be taken to be a length or size rescaling. The requirement for f (x) to be invariant under all rescalings is...

multiplication by a unit and are called the elementary divisors, invariants, or invariant factors. They can be computed (up to multiplication by a unit) as α...

In electrical engineering, the power factor of an AC power system is defined as the ratio of the real power absorbed by the load to the apparent power...

R-modules with R a principal ideal domain A and B are isomorphic as R-modules Primary decomposition (up to reordering) or invariant factor decomposition...

The scale-invariant feature transform (SIFT) is a computer vision algorithm to detect, describe, and match local features in images, invented by David...

In physics and engineering, the quality factor or Q factor is a dimensionless parameter that describes how underdamped an oscillator or resonator is. It...

T {\displaystyle \mathbf {A} ^{\operatorname {T} }} have the same invariant factors, which implies they share the same minimal polynomial, characteristic...

space); the last invariant factor of the module equals the minimal polynomial of the operator, and the product of the invariant factors equals the characteristic...

can be integrated to find the invariant. The constant k B {\displaystyle k_{\text{B}}} is just a unit conversion factor, which can be set equal to one:...

surface form of the invariant chain is known as CD74. CD74 is a cell surface receptor for the cytokine macrophage migration inhibitory factor (MIF). The nascent...

"mass" has two meanings in special relativity: invariant mass (also called rest mass) is an invariant quantity which is the same for all observers in...

In mathematics, Felix Klein's j-invariant or j function is a modular function of weight zero for the special linear group SL ⁡ ( 2 , Z ) {\displaystyle...

In mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral...

characterizations related to representation theory. It is the largest invariant factor of the Cartan matrix of the block, and occurs with multiplicity one...

orthogonal group. In dimension 4, the Weyl tensor further decomposes into invariant factors for the action of the special orthogonal group, the self-dual and...

equation relating total energy (which is also called relativistic energy) to invariant mass (which is also called rest mass) and momentum. It is the extension...

particular, neither of these subgroups is invariant under the automorphism, (x, y) → (y, x), that switches the two factors. For a concrete example of this, let...

In statistics, the variance inflation factor (VIF) is the ratio (quotient) of the variance of a parameter estimate when fitting a full model that includes...

Houdenhove B (April 2002). "A confirmatory factor analysis of the Pain Catastrophizing Scale: invariant factor structure across clinical and non-clinical...

In geometry, the Dehn invariant is a value used to determine whether one polyhedron can be cut into pieces and reassembled ("dissected") into another...

elsewhere. The g factor has been found to be the most invariant of all factors in cross-cultural comparisons. For example, when the g factors computed from...

automorphic form is a function whose divisor is invariant under the action of G {\displaystyle G} . The factor of automorphy for the automorphic form f {\displaystyle...

for consistency with the invariants of AVL trees: this is called "retracing". This is achieved by considering the balance factor of each node.: 458–481 ...