Synonymer & Information om | Engelska ordet INVARIANT

Exempel på hur man kan använda INVARIANT i en mening

• Hilbert discovered and developed a broad range of fundamental ideas including invariant theory, the calculus of variations, commutative algebra, algebraic number theory, the foundations of geometry, spectral theory of operators and its application to integral equations, mathematical physics, and the foundations of mathematics (particularly proof theory).
• In most cases these linear filters are also time invariant (or shift invariant) in which case they can be analyzed exactly using LTI ("linear time-invariant") system theory revealing their transfer functions in the frequency domain and their impulse responses in the time domain.
• This small change makes Kuiper's test as sensitive in the tails as at the median and also makes it invariant under cyclic transformations of the independent variable.
• The katal is invariant of the measurement procedure, but the measured numerical value is not; the value depends on the experimental conditions.
• Lattice (discrete subgroup), a discrete subgroup of a topological group whose quotient carries an invariant finite Borel measure.
• In abstract algebra, a normal subgroup (also known as an invariant subgroup or self-conjugate subgroup) is a subgroup that is invariant under conjugation by members of the group of which it is a part.
• The laws of physics are invariant (identical) in all inertial frames of reference (that is, frames of reference with no acceleration).
• In group theory, the symmetry group of a geometric object is the group of all transformations under which the object is invariant, endowed with the group operation of composition.
• The symmetric group is important to diverse areas of mathematics such as Galois theory, invariant theory, the representation theory of Lie groups, and combinatorics.
• In mathematical analysis, the Haar measure assigns an "invariant volume" to subsets of locally compact topological groups, consequently defining an integral for functions on those groups.
• In general, when there are multiple objects around which a sequence, function, or set accumulates, the inferior and superior limits extract the smallest and largest of them; the type of object and the measure of size is context-dependent, but the notion of extreme limits is invariant.
• Lorentz scalar, a quantity in the theory of relativity which is invariant under a Lorentz transformation.
• In mathematics, the term has a more precise definition and is usually used to refer to an object that is invariant under some transformations, such as translation, reflection, rotation, or scaling.
• A singularity in general relativity can be defined by the scalar invariant curvature becoming infinite or, better, by a geodesic being incomplete.
• Maturation theorists maintain that the universal and invariant sequence of human development can be described and that the genetic makeup of an individual determines the pace of such development.
• He also introduced the Kontsevich integral, a topological invariant of knots (and links) defined by complicated integrals analogous to Feynman integrals, and generalizing the classical Gauss linking number.
• Rankings were far from invariant with the merchant class in Europe outranking the peasantry, while merchants were explicitly inferior to peasants during the Tokugawa Shogunate in Japan.
• It is a local invariant of Riemannian metrics which measures the failure of the second covariant derivatives to commute.
• store intrinsic state that is invariant, context-independent and shareable (for example, the code of character 'A' in a given character set).
• In mathematics, and more specifically in algebraic topology and polyhedral combinatorics, the Euler characteristic (or Euler number, or Euler–Poincaré characteristic) is a topological invariant, a number that describes a topological space's shape or structure regardless of the way it is bent.

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