How to use invariant in a sentence
39 example sentences · adjective, noun
Invariant means not varying; constant. Example: “I had to include the GNU Manifesto, as it was part of an invariant section.”
Examples of invariant by meaning
adjectiveUnaffected by a specified operation, especially by a transformation.
- The fundamental 2-tensor also leads to a new class of invariant linear differential operators that are canonically associated to these geometries; included is a third equation studied by Gallot et al.2015, A. Rod Gover, Vladimir S. Matveev, “Projectively related metrics, Weyl nullity, and metric projectively invariant equations”, in arXiv
nounAn invariant quantity, function etc.
- In the present paper this criterion is reformulated in terms of pseudotensorial invariants of the form..2015, Ruslan Sharipov, “On positive bivariate quartic forms”, in arXiv
More sentences with invariant
- I had to include the GNU Manifesto, as it was part of an invariant section.From the entry invariant section
- Poincaré proved that Betti numbers are invariants and used them to extend Euler's polyhedral formula to higher dimensional spaces.From the entry Betti number
- In this case, therefore, the linearoid system of invariant differential equations is merely the linearoid transform of a linear system.From the entry linearoid
- The three main branches of algebraic graph theory involve the use of linear algebra, the use of group theory and the study of graph invariants.From the entry algebraic graph theory
- Such 4-dimensional multisphere distributions are also shown to be statistically invariant under 4-dimensional nonlinear transmission in fibers..2016, Johnny Karout, Rene'-Jean Essiambre, Erik Agrell, Antonia Tulino, “Achievable Rates of Multidimensional Rotationally Invariant…. From the entry multisphere
- Therefore, Bézier curves are invariant under affine transformations like rotation, translation or scaling.2012, Frank Klawonn, Introduction to Computer Graphics: Using Java 2D and 3D, 2nd edition, Springer, page 151. From the entry Bézier curve
- Etendue is an optical invariant and is called by many different names.2006, Kazuya Ota, Yukata Watanabe, Vadim Banine, Hans Franken, “EUV Source Requirements for EUV Lithography”, in Vivek Bakshi, editor, EUV…. From the entry etendue
- All other ergodic invariant Radon measures are squashable, and there are infinitely many such measures.2006, American Institute of Mathematical Sciences, Discrete and continuous dynamical systems: Volume 16. From the entry squashable
- Every object of a given class must satisfy the class's invariant.2000, Meilir Page-Jones, Fundamentals of Object-oriented Design in UML, Addison-Wesley Professional, →ISBN, page 272. From the entry class invariant
- This invariant acts as a constraint, limiting the size of the class's state-space.2000, Meilir Page-Jones, Fundamentals of Object-oriented Design in UML, Addison-Wesley Professional, →ISBN, page 272. From the entry class invariant
- That is, its components remain invariant with rotation of coordinate axes.1998, Robert G. Deissler, Turbulent Fluid Motion, Taylor & Francis, page 24. From the entry Kronecker delta
- These kinds of latents define the invariant dispositional properties enabling prediction and control of the external environment.1975, Rudolph J. Rummel, Understanding Conflict and War, →ISBN. From the entry latent
- Therefore, from the results of section 2 it follows that these properties are matrically invariant.1974, Fundamenta Mathematicae, volumes 85-86, page 69. From the entry matrically
- The first of these Boolian invariants is known to be an invariant for all linear substitutions.1964, Edwin B. Elliott, Algebra of Quantics, page 344. From the entry Boolian
- This enables straightforward and explicit calculation of the pseudohermitian invariants of the embedding which are also CR invariant.2015, Sean N. Curry, A. Rod Gover, “CR embedded submanifolds of CR manifolds”, in arXiv. From the entry pseudohermitian
- In order to characterise the structure and complexity of a braid different numbers or topological invariants can be calculated.2012, A. T. Skjeltorp, Tamas Vicsek, Complexity from Microscopic to Macroscopic Scales, page 144. From the entry braid
- Hermite to state, took its rise in that great analyst's discovery of the octodecimal invariant of the binary quintic.2012, James Joseph Sylvester, H. F. Baker, The Collected Mathematical Papers of James Joseph Sylvester. From the entry octodecimal
- The lectures concerned the study of some non-linear partial differential equations related to curvature invariants in conformal geometry.2004, Sun-Yung Alice Chang, Non-linear Elliptic Equations in Conformal Geometry, European Mathematical Society, page 2. From the entry conformal geometry
- In contrast, all quarkless baryons are gauge invariant.2002, Jean-Paul Blaizot, Edmond Iancu, QCD Perspectives on Hot and Dense Matter. From the entry quarkless
- One assumption implicit in the logistic process in discrete time is that the resource is invariant between time steps.1992, T. Royama, Analytical Population Dynamics. From the entry between-step
- Hermite's octodecimal invariant of a binary quintic, which will change its sign with that of the determinant of transformation.1973, James Joseph Sylvester, 1854-1973, page 387. From the entry octodecimal
- We explore a model based on the classically-scale invariant standard model (SM) with a strongly coupled vector-like dynamics, which is called hypercolor (HC).2016, Hiroyuki Ishida, Shinya Matsuzaki, Yuya Yamaguchi, “Invisible Axion-Like Dark Matter from Electroweak Bosonic Seesaw”, in arXiv. From the entry hypercolor
- The time reversal invariant topological superconductivity is realized if the interwire pairing corresponding to crossed Andreev reflection dominates over the standard intrawire pairing.2015, Hiromi Ebisu, Bo Lu, Jelena Klinovaja, Yukio Tanaka, “Theory of time reversal topological superconductivity in double Rashba wires…. From the entry intrawire
- Lastly, the same method is used to explain the fact that Sergeev's super Pfaffian, an invariant for the special orthosymplectic super group, is polynomial..2015, P. Deligne, G. I. Lehrer, R. B. Zhang, “The first fundamental theorem of invariant theory for the orthosymplectic super group”, in…. From the entry orthosymplectic
- They arise from the ring of polynomials in Dunkl-deformed angular momenta, by classifying the subspaces invariant and antiinvariant under all Weyl reflections, respectively..2015, Francisco Correa, Olaf Lechtenfeld, “The tetrahexahedric angular Calogero model”, in arXiv. From the entry antiinvariant
- The point is that, to construct locally invariant theories, new fields have to be introduced which are referred to as the gauge fields.2012, M. Chaichian, N. F. Nelipa, Introduction to Gauge Field Theories, Springer, page 4. From the entry invariant theory
- For various reasons it turns out to be better to enlarge this set of invariants to include suitable normalizers of subgroups of odd prime order.2000, Michael Aschbacher, Finite Group Theory, 2nd edition, Cambridge University Press, page 260. From the entry order
- A physical system may be invariant under mirror operations, but also under antimirror operations, that is mirror operations combined with time reversal.1994, American Journal of Physics - Volume 62, page 328. From the entry antimirror
- Necessary and sufficient conditions for estimability and regulability are derived for time variant and time invariant systems, in discrete and continuous time.1987, Baram, Y. and T. Kailath, Estimability and Regulability of Linear Systems, NASA Technical Memorandum 89427. From the entry estimability
- These structures can be used to color the semiarcs in Y-oriented spatial trivalent graph diagrams representing S¹-oriented handlebody-knots to obtain computable invariants for handlebody-knots and handlebody-links.2016, Atsushi Ishii, Sam Nelson, “Partially Multiplicative Biquandles and Handlebody-Knots”, in arXiv. From the entry semiarcs
- We provide examples demonstrating that the new invariants are not determined by the biquandle counting invariant, the knot quandle, the knot group or the traditional skein invariants..2015, Sam Nelson, Michael E. Orrison, Veronica Rivera, “Quantum Enhancements and Biquandle Brackets”, in arXiv. From the entry biquandle
- In this paper we study the invariant metrizability and projective metrizability problems for the special case of the geodesic flow associated to the canonical connection of a Lie group.2015, Ioan Bucataru, Tamás Milkovszki, Zoltán Muzsnay, “Invariant metrizability and projective metrizability on Lie groups and homogeneous…. From the entry metrizability
- The invariant occurrence of adhesive EPS at both the driving and the non-driving raphes supports a model for constitutive, rather than induced, secretion of the raphe adhesive.2007, Andrew M. Smith, James A. Callow, Biological Adhesives, page 87. From the entry raphe
- Geometric invariant theory arises in an attempt to construct a quotient of an algebraic variety X by an algebraic action of a linear algebraic group G.2003, Igor Dolgachev, Lectures on Invariant Theory, Cambridge University Press, page xiii. From the entry linear algebraic group
- Beside singular homology, which is a homotopy invariant, and Čech homology, which is a shape invariant, there exists strong homology, which is a strong shape invariant.2000, Sibe Mardešić, Strong Shape and Homology, Springer, page v. From the entry homology
- From the definition it will be clear the group is a topological invariant of X; i.e., if two spaces are homeomorphic, their fundamental groups are isomorphic.1991, William S. Massey, A Basic Course in Algebraic Topology, Springer, page 35. From the entry fundamental group
- In other words, the student is an invariant, transhistorical subject who is, to all intents and purposes, indistinguishable from his or her counterpart in the seventeenth, eighteenth or nineteenth century.2005, Michael Cronin, edited by Martha Tennent, Training For The New Millennium, John Benjamins Publishing Co, page 259. From the entry transhistorical
Meaning of invariant
- adjective Not varying; constant.
- adjective Unaffected by a specified operation, especially by a transformation.
- adjective Neither covariant nor contravariant.
Questions about invariant in a sentence
- How do you use invariant in a sentence?
- Invariant is used as an adjective and noun. For example: “I had to include the GNU Manifesto, as it was part of an invariant section.”
- What is a short sentence with invariant?
- “In contrast, all quarkless baryons are gauge invariant.”
- What does invariant mean?
- Invariant means not varying; constant.
Source and license
Adapted from Wiktionary: invariant (page history and authors) and the entries each sentence comes from. Text available under the Creative Commons Attribution-ShareAlike 4.0 license. Word.ws chose the sentences, left out offensive ones and quotations older than 1900, and marked the word in each. Wiktionary data of 2026-09-02.
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