space). The noun triviality usually refers to a simple technical aspect of some proof or definition. The origin of the term in mathematical language comes...

Model of particle physics, the question of triviality in Higgs models is of great importance. This Higgs triviality is similar to the Landau pole problem in...

adjoint to G.) List of topologies Triviality (mathematics) Keegan Smith, "Adjoint Functors in Algebra, Topology and Mathematical Logic", August 8, 2008, p. 13...

Office), an episode of The Office Triviality (mathematics), technical simplicity of some aspects of proofs Quantum triviality, a trait of classical theories...

homeomorphic, and in addition the bundle satisfies certain conditions of local triviality outlined in the pertaining linked articles, then the bundle is a fiber...

also fails to convey any substantive information Triviality (mathematics) and degeneracy (mathematics) "Vacuously true". web.cse.ohio-state.edu. Archived...

bundle applies to many more categories in mathematics, at the expense of appropriately modifying the local triviality condition; cf. principal homogeneous...

case when they occur in an exact sequence. Nildimensional space Triviality (mathematics) Examples of vector spaces Field with one element Empty semigroup...

non-exactness of the global sections functor—or equivalently, to non-triviality of sheaf cohomology. The stalk F x {\displaystyle {\mathcal {F}}_{x}}...

hypercomputation". Applied Mathematics and Computation. 178 (1): 4–7. doi:10.1016/j.amc.2005.09.066. Godfrey-Smith, P. (2009), "Triviality Arguments against Functionalism"...

Theory and Integral Lattices”). He also co-authored a book on quantum triviality. In 2020, he was elected international member of the National Academy...

Guozhen; Xu, Zhouli (2017). "The triviality of the 61-stem in the stable homotopy groups of spheres". Annals of Mathematics. 186 (2): 501–580. arXiv:1601...

examples of ancient Egyptian mathematics. It is one of two well-known mathematical papyri, along with the Moscow Mathematical Papyrus. The Rhind Papyrus...

analogously. According to A. H. Clifford and G. B. Preston, "In spite of their triviality, these semigroups arise naturally in a number of investigations." Let...

opposite of skepticism. Paraconsistent logics may use "the law of non-triviality" to abstain from trivialism in logical practices that involve true contradictions...

In the mathematical theory of probability, David Lewis's triviality result is a theorem about the impossibility of systematically equating the conditional...

and Triviality in Quantum Field Theory. Springer. ISBN 0-387-54358-9. Losada M (1999). "The complex dynamics of high performance teams". Mathematical and...

related work, he also supplied a proof of Serre's conjecture about the triviality of algebraic vector bundles on affine space, which led to the Bass–Quillen...

This means that n divides the product (x + y)(x − y). The second non-triviality condition guarantees that n does not divide (x + y) nor (x − y) individually...

only in semigroups having at least two elements. In spite of its extreme triviality, the semigroup with one element is important in many situations. It is...

either functionalism turns out to reduce to behaviorism, or to complete triviality and therefore a form of panpsychism. These arguments typically use the...

and Daniel Quillen independently proved Serre's conjecture about the triviality of algebraic vector bundles on affine space. In 1982 he and Alexander...

fields of mathematical physics, statistical mechanics, functional analysis and probability theory. The highlights of his work include: the triviality of a...

polynomial rings. In the geometric setting it is a statement about the triviality of vector bundles on affine space. The theorem states that every finitely...

OCLC 40734875. Fiber bundle – Continuous surjection satisfying a local triviality condition Spinor bundle – Geometric structure Tensor field – Assignment...

{\displaystyle \{0\}} is a semiring called the trivial semiring. This triviality can be characterized via 0 = 1 {\displaystyle 0=1} and so when speaking...

Industrial Internet Jewry Knowledge Language Law Leisure Literature Marxist Mathematic Medical Military Music Peace, war, and social conflict Philosophy Political...

quantum fluctuations (vacuum polarization). This is a case of quantum triviality, which means that quantum corrections completely suppress the interactions...

existing problems. Two of the most currently researched models are quantum triviality, and Higgs hierarchy problem. In particle physics, elementary particles...

fellow of the Indian National Science Academy (New Delhi). 2021: "Local triviality for G-torsors", Gille, P.; Parimala, R.; Suresh, V., Math. Ann. 380, no...