is called Φ-invariant if for all x in S and all t in T Φ(t,x)∈S.{\displaystyle \Phi (t,x)\in S.} Thus, in particular, if S is Φ-invariant, I(x)=T{\displaystyle...

no. 2, pp. 285–318 (2011). with A. Avila, and J.-C. Yoccoz: "SL(2,R)-invariant probability measures on the moduli spaces of translation surfaces are...

and no isolated points). The number of isolated points is a topological invariant, i.e. if two topological spaces X, Y are homeomorphic, the number of isolated...

invariant zero. The Dehn invariant has also been connected to flexible polyhedra by the strong bellows theorem, which states that the Dehn invariant of...

measurable with respect to X1,X2,…{\displaystyle X_{1},X_{2},\ldots } and invariant under finite permutations of the indices). Here is a concrete example...

group is important to diverse areas of mathematics such as Galois theory, invariant theory, the representation theory of Lie groups, and combinatorics. Cayley's...

little-used in the classification of manifolds, because these invariant are homotopy-invariant, and hence don't help with the finer classifications above...

(Donaldson 1990). This was an early application of the Donaldson invariant (or instanton invariants). Any compact symplectic manifold admits a symplectic Lefschetz...

maximal subject to the following properties: H has a simply connected invariant component D A conjugate of an element h of H by a conformal bijection...

containing all products of intervals, and λ is the unique complete translation-invariant measure on that σ-algebra with λ([0,1]×[0,1]×⋯×[0,1])=1.{\displaystyle...

diffeomorphism. If a flow on a manifold splits the tangent bundle into three invariant subbundles, with one subbundle that is exponentially contracting, and...

this result uses Morera's theorem, which implies that the integral is invariant under homotopy of the curve, so that it can be deformed to a circle and...

of Continuous and Discontinuous Piecewise-Smooth One-Dimensional Maps: Invariant Sets and Bifurcation Structures (with Viktor Avrutin, Laura Gardini, and...

Vol. 246, (Dec., 1978), pp. 261–283. "On the dimension of the compact invariant sets of certain non-linear maps", Springer, Lectures Notes in Mathematics...

with problems in elimination theory. Brigaglia, Aldo (2004), "L'Opera Matematica", in Giacardi, Livia (ed.), Francesco Faà di Bruno. Ricerca scientifica...

discovered and developed a broad range of fundamental ideas including invariant theory, the calculus of variations, commutative algebra, algebraic number...

Analele Ştiinţifice ale Universităţii "Al. I. Cuza" din Iaşi, Secţiunea I a Matematică. 11B: 493–496. MR 0202066. Frank Morgan (2012) "Math Finds the Best Doughnut"...

lei coin problem [ro], a problem he proposed (and solved) at the Gazeta Matematică [ro] contest in Galați in 1908. The problem was posed independently by...

Because the (non)triviality of the fundamental group is known to be invariant under homeomorphism, it follows that the two-dimensional sphere and torus...

Maps: Invariant Sets and Bifurcation Structures (with Viktor Avrutin, Iryna Sushko, and Fabio Tramontana, World Scientific, 2019) Appunti di matematica finanziaria...

three-body problem to the n-body problem. In KAM theory, Chierchia addressed invariant tori in phase-space Hamiltonian systems and stability questions. He has...

mathematics in Brazil. Lima was professor emeritus at Instituto Nacional de Matemática Pura e Aplicada of which he was the director during three separate periods...

choice of coordinates. One such important quantity is the Kretschmann invariant, which is given by RαβγδRαβγδ=12rs2r6=48G2M2c4r6.{\displaystyle R^{\alpha...

Volume 37, No. 3, pp. 328. – 339 March 1989. Zhang, Wei (1988). "Shift-invariant pattern recognition neural network and its optical architecture". Proceedings...

Volume 37, No. 3, pp. 328. – 339 March 1989. Zhang W (1988). "Shift-invariant pattern recognition neural network and its optical architecture". Proceedings...

băiatul 1/ care este la mine în clasă, 2/ și care este foarte bun la matematică. 3/ I have told you about the boy 1/ who is in my class, 2/ and who is...

function τ↦R(e2πiτ){\displaystyle \tau \mapsto R(e^{2\pi i\tau })} is invariant under Γ(5){\displaystyle \Gamma (5)}, a congruence subgroup of the modular...

Gauss, established that the Gaussian curvature is an intrinsic invariant, i.e. invariant under local isometries. This point of view was extended to higher-dimensional...

of closed range is not a CR invariant condition. In dimension 3, a non-perturbative set of conditions that are CR invariant has been found by Sagun Chanillo...

translation. Goodman's conjecture on the coefficients of multivalent functions Invariant subspace problem – does every bounded operator on a complex Banach space...