In mathematics and computer science, a canonical, normal, or standard form of a mathematical object is a standard way of presenting that object as a mathematical...

any Boolean function can be expressed in the canonical disjunctive normal form (CDNF), minterm canonical form, or Sum of Products (SoP or SOP) as a disjunction...

linear algebra, a Jordan normal form, also known as a Jordan canonical form, is an upper triangular matrix of a particular form called a Jordan matrix representing...

f is in Blake canonical form (BCF), also called the complete sum of prime implicants, the complete sum, or the disjunctive prime form, when it is a disjunction...

algebra, the Frobenius normal form or rational canonical form of a square matrix A with entries in a field F is a canonical form for matrices obtained by conjugation...

literature in that context. In mathematics, canonical example is often used to mean 'archetype'. Canonical form, a natural unique representation of an object...

reduced row echelon form or in canonical form if its augmented matrix is in reduced row echelon form. The canonical form may be viewed as an explicit solution...

alternative sequences are, in general, canonically equivalent. The rules that define their sequencing in the canonical form also define whether they are considered...

In mathematics, in linear algebra, a Weyr canonical form (or, Weyr form or Weyr matrix) is a square matrix which (in some sense) induces "nice" properties...

more than one possible representation into a "standard", "normal", or canonical form. This can be done to compare different representations for equivalence...

mechanics. The tautological one-form is sometimes also called the Liouville one-form, the Poincaré one-form, the canonical one-form, or the symplectic potential...

{x} (t).} This state-space realization is called controllable canonical form because the resulting model is guaranteed to be controllable (i.e.,...

combination of several contributing structures (or forms, also variously known as resonance structures or canonical structures) into a resonance hybrid (or hybrid...

lemma (pl.: lemmas or lemmata) is the canonical form, dictionary form, or citation form of a set of word forms. In English, for example, break, breaks...

called the canonical form of the rational number. Starting from a rational number ⁠ a b , {\displaystyle {\tfrac {a}{b}},} ⁠ its canonical form may be obtained...

graph canonization is the problem of finding a canonical form of a given graph G. A canonical form is a labeled graph Canon(G) that is isomorphic to...

just a constant value (a resistance) remains. The Brune synthesis is canonical, that is, the number of elements in the final synthesised network is equal...

hyperbolic PDE which generally model phenomena that change in time. The canonical examples of elliptic PDEs are Laplace's Equation and Poisson's Equation...

generalization of row equivalence. The rank property yields an intuitive canonical form for matrices of the equivalence class of rank k {\displaystyle k} as...

|, using commonly available characters.: 14  BNF is very similar to canonical-form Boolean algebra equations (used in logic-circuit design), reflecting...

because the rational canonical form over K is also the rational canonical form over L. This means that one may use Jordan forms that only exist over a...

restatement of singular value decomposition. This can be said to be a canonical form of finite-rank operators. Generalizing slightly, if n {\displaystyle...

0 {\displaystyle Ax^{2}+Bxy+Cy^{2}+Dx+Ey+F=0\,} can be converted to canonical form in transformed variables x ~ , y ~ {\displaystyle {\tilde {x}},{\tilde...

efficient. The simplex algorithm operates on linear programs in the canonical form maximize c T x {\textstyle \mathbf {c^{T}} \mathbf {x} } subject to...

state-space realization is called controllable canonical form (also known as phase variable canonical form) because the resulting model is guaranteed to...

controllability is still analogous. Nonlinear systems in the control-affine form x ˙ = f ( x ) + ∑ i = 1 m g i ( x ) u i {\displaystyle {\dot {\mathbf {x}...

the canonical form a requirement even where the decree of the Council of Trent had not been promulgated. While allowing for exceptions, the canonical form...

example is that of a self-interpreter in a total programming language. Canonical form Typed lambda calculus Rewriting Total functional programming Barendregt–Geuvers–Klop...

indeed invalid due to the lack of form. However, in situations where there was a complete absence of the canonical form (e.g. if the marriage was concluded...

Addresses complying with this rule are referred to as "canonical form.": 130  Canonical form addresses run from 0 through 00007FFF'FFFFFFFF, and from...