integer n ≥ 3, has no non-trivial solutions x, y ∈ Q. A non-trivial solution a, b, c ∈ Z to xn + yn = zn yields the non-trivial solution a/c, b/c ∈ Q for...

Mathematical Olympiad and received a scholarship for the Instituto Nacional de Matemática Pura e Aplicada (IMPA) to start a M.S. degree while still attending high...

studied CA groups; these are groups such that the Centralizer of every non-trivial element is Abelian. In a pioneering paper he showed that all CA groups...

. {\displaystyle \sum _{i=1}^{p-1}i^{p-1}\equiv -1{\pmod {p}}.} It is trivial to show that p being prime is sufficient for the second equivalence to...

and outer automorphism group are both trivial. For n = 2, the automorphism group is trivial, but S2 is not trivial: it is isomorphic to C2, which is abelian...

are referred to as "trivial". Some well-known examples, including the Sagrada Família magic square and the Parker square, are trivial in this sense. When...

In mathematics, the Hilbert–Pólya conjecture states that the non-trivial zeros of the Riemann zeta function correspond to eigenvalues of a self-adjoint...

three-dimensional topological manifold which is closed, connected, and has trivial fundamental group is homeomorphic to the three-dimensional sphere. Familiar...

given set while satisfying the other axioms of a measure, one only finds trivial examples like the counting measure. This problem was resolved by defining...

(2005). "The linear algebra of the Pell matrix". Boletín de la Sociedad Matemática Mexicana, Tercera Serie. 11 (2): 163–174. MR 2207722. Knorr, Wilbur (1976)...

2023-08-28. Weisstein, Eric W. "Repdigit". MathWorld. Problemas IX Olimpíada Iberoamericana de Matemática Look up repdigit in Wiktionary, the free dictionary....

codimension k and the subscripts indicate the groups that are homologically trivial, respectively algebraically equivalent to zero. This group was introduced...

"even", some mathematical terms are purposefully constructed to exclude trivial or degenerate cases. Prime numbers are a famous example. Before the 20th...

{\displaystyle x} given b {\displaystyle b} and c {\displaystyle c} can be trivially used as a subroutine in an algorithm to compute square roots modulo n...

{\displaystyle X} , assume z ∈ X {\displaystyle z\in X} , it follows trivially that z ∈ X {\displaystyle z\in X} , and the same follows in reverse, therefore...

later linguistic and analytic approach to philosophy dismissing it as "trivial", while Wittgenstein came to think of Russell as "superficial and glib"...

may be more than one locally minimizing surface, and they may have non-trivial topology. The calculus of variations may be said to begin with Newton's...

A smooth h-cobordism between simply connected 4-manifolds need not be trivial (Donaldson 1987b). This contrasts with the situation in higher dimensions...

2016. Markoff, John (16 February 2011). "Computer Wins on 'Jeopardy!': Trivial, It's Not". The New York Times. p. A1. Le, Quoc V. (2013). "Building high-level...

Invited lectures. World Scientific; Rio de Janeiro: Sociedade Brasileira de Matemática (SBM). pp. 2035–2062. Apanasov, B.. Discrete groups in space and uniformization...

T. (1998). "Differential equations driven by rough signals". Revista Matemática Iberoamericana. 14 (2): 215–310. doi:10.4171/RMI/240. Hairer, Martin (2014)...

Wall. The geometry of abstract groups and their splittings. Revista Matemática Complutense vol. 16(2003), no. 1, pp. 5–101 M. Kapovich. Energy of harmonic...

de Kobon" [The Kobon triangles problem]. La Gaceta de la Real Sociedad Matemática Española (in Spanish). 24 (1): 111–130. hdl:10486/705416. MR 4225268....

structures on pseudo-Riemannian manifolds" (PDF), Revista de la Unión Matemática Argentina, 32: 64–78 Borel, A.; Hirzebruch, F. (1958). "Characteristic...

succinctly summarized as follows (although the last two assertions are non-trivially linked to the following): The Lebesgue-measurable sets form a σ-algebra...

particular, it does not admit any non-trivial homomorphism to the real line. Banyaga is an editor of Afrika Matematica, the journal of the African Mathematical...

for all measurable subsets E ∈ Σ {\displaystyle E\in \Sigma } . A non-trivially stronger form of this result, known as Hille's theorem, also holds for...

} can also be expressed in terms of the sum of the reciprocals of non-trivial zeros ρ {\displaystyle \rho } of the zeta function: γ = log ⁡ 4 π + ∑ ρ...

cubic form in 54 variables over any algebraic number field K had a non-trivial zero over that field, he had also simplified the earlier method of Siegel...

2 × 3 × 7, and no other product of prime numbers equals 42, aside from trivial rearrangements such as 7 × 3 × 2. This unique factorization property is...