In mathematics, a one-parameter group or one-parameter subgroup usually means a continuous group homomorphism φ : R → G {\displaystyle \varphi :\mathbb...

mathematics, Stone's theorem on one-parameter unitary groups is a basic theorem of functional analysis that establishes a one-to-one correspondence between self-adjoint...

action of T. In Lie theory, a one-dimensional subspace of a Lie algebra is mapped to a one-parameter group under the Lie group–Lie algebra correspondence...

The Immirzi parameter (also known as the Barbero–Immirzi parameter) is a numerical coefficient appearing in loop quantum gravity (LQG), a nonperturbative...

recognize the one-parameter matrix group of rotations exp(iλJz) about the z-axis. Differentiating with respect to the group parameter λ and setting it...

maps on the circle. This gives the circle group the structure of a one-parameter group, an instance of a Lie group. In fact, up to isomorphism, it is the...

a scale parameter is a special kind of numerical parameter of a parametric family of probability distributions. The larger the scale parameter, the more...

algebra Affine Lie algebra Loop algebra Graded Lie algebra One-parameter group, One-parameter subgroup Matrix exponential Infinitesimal transformation Lie's...

and densely defined. Definition (one-parameter group). Let A {\displaystyle A} be a C*-algebra. A one-parameter group on A {\displaystyle A} is a family...

That is, Di in a sense generates the one-parameter group of translations parallel to the xi-axis. These groups commute with each other, and therefore...

discovered that the coupling parameter g(μ) at the energy scale μ is effectively given by the (one-dimensional translation) group equation g ( μ ) = G − 1...

words, a parameter word is a string over a given alphabet having some number of wildcard characters. The set of strings matching a given parameter word is...

06 and 0.63. Unlike the Inuit and Gallic groups, the orbital parameters are widely dispersed and the group is likely to be composed from a number of...

literature of location parameter estimation, the probability distributions with such parameter are found to be formally defined in one of the following equivalent...

By integrating a vector field we get (at least a small part of) a one-parameter group of diffeomorphisms on the sphere; and all of the mappings in it are...

the one-parameter group of transformations generated by A. Thus, for example, if A is a skew-Hermitian matrix, then U(t) = exp(tA) is a one-parameter group...

field XH, which exponentiates to a one-parameter group of Hamiltonian diffeomorphisms. It follows that the group of symplectomorphisms is always very...

relationship between thermal radiation and spacetimes that admit a one-parameter group of isometries possessing a bifurcate Killing horizon, which consists...

mathematical analysis, a C0-semigroup, also known as a strongly continuous one-parameter semigroup, is a generalization of the exponential function. Just as...

correct absolute structure. One of the more powerful and simple approaches is using the Flack parameter, because this single parameter clearly indicates the...

parameter rapidity, which specifies a change in frame of reference. This rapidity parameter corresponds to the real variable in a one-parameter group...

quantum mechanical system, its time evolution is described by a one-parameter group of automorphisms {αt}t of Q. This can be narrowed to unitary transformations:...

models that are used are referred to as z-parameters, y-parameters, h-parameters, g-parameters, and ABCD-parameters, each described individually below. These...

{\displaystyle h\in H} . The simplest motions follow a one-parameter subgroup of a Lie group, such as the Euclidean group of three-dimensional space. For example translation...

so that γμ– is independent of μ. The complex Butcher group comes with a natural one-parameter group λw of automorphisms, dual to that on H λ w ( t ) = w...

Hansen solubility parameters were developed by Charles M. Hansen in his Ph.D thesis in 1967 as a way of predicting if one material will dissolve in another...

The four best third-placed teams from the six groups advanced to the knockout stage along with the six group winners and six runners-up. First match(es)...

reciprocal of its fractional part, and so on. Circle group Equidistributed sequence One-parameter group Pisot–Vijayaraghavan number Poussin proof Significand...

Specifically, let X be a vector field on M. Then X generates a one-parameter group of local diffeomorphisms FlXt, the flow along X. The differential...

team would have remained at seven, but each team would have played one fewer group match than before. The tournament still would have been completed within...