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LAMBDA G-CONJECTURE

  • Lambda g conjecture
  • λ g {\displaystyle \lambda _{g}} -conjecture gives a particularly simple formula for certain integrals on the Deligne–Mumford compactification M ¯ g ,

    Lambda g conjecture

    Lambda_g_conjecture

  • List of unsolved problems in mathematics
  • Lambda g conjecture (Carel Faber and Rahul Pandharipande, 2003) Nagata's conjecture (Ivan Shestakov, Ualbai Umirbaev, 2003) Double bubble conjecture (Michael

    List of unsolved problems in mathematics

    List_of_unsolved_problems_in_mathematics

  • ELSV formula
  • formula, including the Witten conjecture, the Virasoro constraints, and the λ g {\displaystyle \lambda _{g}} -conjecture. It is generalized by the Gopakumar–Mariño–Vafa

    ELSV formula

    ELSV_formula

  • Pólya conjecture
  • Disproven conjecture in number theory

    Liouville function, with the conjecture being that L ( n ) = ∑ k = 1 n λ ( k ) ≤ 0 {\displaystyle L(n)=\sum _{k=1}^{n}\lambda (k)\leq 0} for all n > 1 {\displaystyle

    Pólya conjecture

    Pólya conjecture

    Pólya_conjecture

  • Schanuel's conjecture
  • Major unsolved problem in transcendental number theory

    {Q}} } . Schanuel's conjecture would strengthen this result, implying that λ 1 , . . . , λ n {\displaystyle \lambda _{1},...,\lambda _{n}} would also be

    Schanuel's conjecture

    Schanuel's conjecture

    Schanuel's_conjecture

  • Brouwer's conjecture
  • The conjecture states that if G is a simple undirected graph and L(G) its Laplacian matrix, then its eigenvalues λn(L(G)) ≤ λn−1(L(G)) ≤ ... ≤ λ1(L(G))

    Brouwer's conjecture

    Brouwer's_conjecture

  • Macdonald polynomials
  • Orthogonal symmetric polynomial family

    s_{\lambda }} . The coefficients Kλμ(q,t) of these relations are called Kostka–Macdonald coefficients or qt-Kostka coefficients. Macdonald conjectured that

    Macdonald polynomials

    Macdonald_polynomials

  • Witten conjecture
  • Conjecture in algebraic geometry

    In algebraic geometry, the Witten conjecture is a conjecture about intersection numbers of stable classes on the moduli space of curves, introduced by

    Witten conjecture

    Witten_conjecture

  • Lonely runner conjecture
  • Unsolved problem in mathematics

    Unsolved problem in mathematics Is the lonely runner conjecture true for every number of runners? More unsolved problems in mathematics In number theory

    Lonely runner conjecture

    Lonely_runner_conjecture

  • Sidorenko's conjecture
  • Conjecture in graph theory

    Sidorenko's conjecture is a major conjecture in the field of extremal graph theory, posed by Alexander Sidorenko in 1986. Roughly speaking, the conjecture states

    Sidorenko's conjecture

    Sidorenko's_conjecture

  • Chern's conjecture for hypersurfaces in spheres
  • Ugandan Social Media influencer / blogger born 1995 in mbarara town

    2. In 2008, Zhiqin Lu proposed a conjecture similar to that of Chern, but with σ + λ 2 {\displaystyle \sigma +\lambda _{2}} taken instead of σ {\displaystyle

    Chern's conjecture for hypersurfaces in spheres

    Chern's_conjecture_for_hypersurfaces_in_spheres

  • Swampland (physics)
  • Low energy theories not compatible with string theory

    d^{d}x{\sqrt {g}}{\frac {1}{2}}G_{ij}\partial _{\mu }\phi ^{i}\partial ^{\mu }\phi ^{j}+...} A stronger version of the original distance conjecture additionally

    Swampland (physics)

    Swampland_(physics)

  • Euler's sum of powers conjecture
  • Disproved conjecture in number theory

    where a, b and λ {\displaystyle {\lambda }} are any rational numbers. Euler's conjecture was disproven by L. J. Lander and T. R. Parkin in

    Euler's sum of powers conjecture

    Euler's_sum_of_powers_conjecture

  • Ramanujan graph
  • Spectral graph theory concept

    {\displaystyle \lambda (G)=\max _{i\neq 1}|\lambda _{i}|=\max(|\lambda _{2}|,\ldots ,|\lambda _{n}|)} . A connected d {\displaystyle d} -regular graph G {\displaystyle

    Ramanujan graph

    Ramanujan_graph

  • Poisson distribution
  • Discrete probability distribution

    {\displaystyle E(g(T))=\sum _{t=0}^{\infty }g(t){\frac {(n\lambda )^{t}e^{-n\lambda }}{t!}}=0} For this equality to hold, g ( t ) {\displaystyle g(t)} must be 0

    Poisson distribution

    Poisson distribution

    Poisson_distribution

  • Six exponentials theorem
  • Condition on transcendence of numbers

    ) {\displaystyle M={\begin{pmatrix}\lambda _{11}&\lambda _{12}&\lambda _{13}\\\lambda _{21}&\lambda _{22}&\lambda _{23}\end{pmatrix}}} has rank 2. A special

    Six exponentials theorem

    Six_exponentials_theorem

  • Baum–Connes conjecture
  • Conjecture linking two mathematical areas

    In mathematics, specifically in operator K-theory, the Baum–Connes conjecture suggests a link between the K-theory of the reduced C*-algebra of a group

    Baum–Connes conjecture

    Baum–Connes conjecture

    Baum–Connes_conjecture

  • De Bruijn–Newman constant
  • Mathematical constant

    then implies that Λ {\displaystyle \Lambda } is unique. Newman also conjectured that Λ ≥ 0 {\displaystyle \Lambda \geq 0} , which was proven forty years

    De Bruijn–Newman constant

    De_Bruijn–Newman_constant

  • Simply typed lambda calculus
  • Formal system in mathematical logic

    simply typed lambda calculus (⁠ λ → {\displaystyle \lambda ^{\to }} ⁠), a form of type theory, is a typed interpretation of the lambda calculus with

    Simply typed lambda calculus

    Simply_typed_lambda_calculus

  • Sensitivity theorem
  • Theorem about complexity measures of Boolean functions

    1\}^{n}\to \{0,1\}} is at least the square root of its degree, thus settling a conjecture posed by Nisan and Szegedy in 1992. The proof is notably succinct, given

    Sensitivity theorem

    Sensitivity_theorem

  • Chromatic symmetric function
  • Symmetric function invariant of graphs

    λ m ~ λ {\displaystyle X_{G}=\sum _{\lambda \vdash n}z_{\lambda }{\tilde {m}}_{\lambda }} Let p λ {\displaystyle p_{\lambda }} be the power-sum symmetric

    Chromatic symmetric function

    Chromatic_symmetric_function

  • Vinogradov's theorem
  • Theorem in number theory

    _{k_{1}+k_{2}+k_{3}=N}\Lambda (k_{1})\Lambda (k_{2})\Lambda (k_{3}),} using the von Mangoldt function Λ {\displaystyle \Lambda } , and G ( N ) = ( ∏ p ∣ N

    Vinogradov's theorem

    Vinogradov's theorem

    Vinogradov's_theorem

  • Fekete–Szegő inequality
  • Statement in complex analysis

    \lambda <1} , then | a 3 − λ a 2 2 | ≤ 1 + 2 exp ⁡ ( − 2 λ / ( 1 − λ ) ) . {\displaystyle |a_{3}-\lambda a_{2}^{2}|\leq 1+2\exp(-2\lambda /(1-\lambda ))

    Fekete–Szegő inequality

    Fekete–Szegő_inequality

  • Kähler–Einstein metric
  • Type of metric in Riemannian geometry

    Ric g = λ g {\displaystyle \operatorname {Ric} _{g}=\lambda g} for a real number λ . {\displaystyle \lambda .} When the Riemannian manifold ( X , g ) {\displaystyle

    Kähler–Einstein metric

    Kähler–Einstein_metric

  • Artin L-function
  • Type of Dirichlet series associated to number field extensions

    and have vital meaning for number theory. The Artin conjecture also called Artin holomorphy conjecture states that L ( s , ρ , L / K ) {\displaystyle L(s

    Artin L-function

    Artin_L-function

  • Pcf theory
  • there is a Jónsson algebra on ℵω+1, which settles an old conjecture. The most notorious conjecture in pcf theory states that |pcf(A)|=|A| holds for every

    Pcf theory

    Pcf_theory

  • Ricci flow
  • Partial differential equation

    {\text{Ric}}^{g}=\lambda g} . Then g t = ( 1 − 2 λ t ) g {\displaystyle g_{t}=(1-2\lambda t)g} is a Ricci flow with g 0 = g {\displaystyle g_{0}=g} , since

    Ricci flow

    Ricci flow

    Ricci_flow

  • Gauss–Manin connection
  • Connection on a vector bundle

    (\lambda ^{3}-27){\frac {\partial ^{2}\omega _{\lambda }}{\partial \lambda ^{2}}}+3\lambda ^{2}{\frac {\partial \omega _{\lambda }}{\partial \lambda }}+\lambda

    Gauss–Manin connection

    Gauss–Manin_connection

  • Freiman's theorem
  • On the approximate structure of sets whose sumset is small

    G {\displaystyle H\subset G} with | H | ≤ | A | {\displaystyle |H|\leq |A|} . In 2012, Tom Sanders gave an almost-polynomial bound of the conjecture for

    Freiman's theorem

    Freiman's_theorem

  • Diameter (group theory)
  • Concept in group theory

    the Cayley graph Λ = ( G , S ) {\displaystyle \Lambda =\left(G,S\right)} . Then the diameter of ( G , ∘ ) {\displaystyle \left(G,\circ \right)} is the

    Diameter (group theory)

    Diameter_(group_theory)

  • Dedekind zeta function
  • Generalization of the Riemann zeta function for algebraic number fields

    but follows directly from more general conjectures like the Artin conjecture or Selberg orthonormality conjecture. The functional equation allows one to

    Dedekind zeta function

    Dedekind_zeta_function

  • Quantum Heisenberg model
  • Statistical model in quantum mechanics of magnetic materials

    \left({\frac {\lambda _{k}+is}{\lambda _{k}-is}}\right)^{N}=\prod _{j\neq k}{\frac {\lambda _{k}-\lambda _{j}+i}{\lambda _{k}-\lambda _{j}-i}}.} For spin

    Quantum Heisenberg model

    Quantum_Heisenberg_model

  • Taniyama's problems
  • 36 mathematical problems stated in 1955

    twelfth and thirteenth problems were the precursor to the Taniyama–Shimura conjecture, also known as the modularity theorem, which would be used in Andrew Wiles'

    Taniyama's problems

    Taniyama's_problems

  • Fibonacci group
  • Algebraic structure

    λ g + μ g ) g {\displaystyle \sum \nolimits _{g}\lambda _{g}g+\sum \nolimits _{g}\mu _{g}g=\sum \nolimits _{g}(\lambda _{g}\!+\!\mu _{g})g} , whose support

    Fibonacci group

    Fibonacci_group

  • Elliptic curve
  • Algebraic curve in mathematics

    lambda ^{2}-\lambda +1\right)\\[4pt]g_{3}'&={\frac {1}{27}}(\lambda +1)\left(2\lambda ^{2}-5\lambda +2\right)\end{aligned}}} and j ( τ ) = 1728 g 2

    Elliptic curve

    Elliptic curve

    Elliptic_curve

  • 1
  • Natural number

    prime-counting function. The Weil's conjecture on Tamagawa numbers states that the Tamagawa number τ ( G ) {\displaystyle \tau (G)} , a geometrical measure of

    1

    1

  • Riemann hypothesis
  • Conjecture on zeros of the zeta function

    problems in mathematics In mathematics, the Riemann hypothesis is the conjecture that the Riemann zeta function has its zeros only at the negative even

    Riemann hypothesis

    Riemann hypothesis

    Riemann_hypothesis

  • Expander graph
  • Sparse graph with strong connectivity

    2 d − 1 + ε {\displaystyle \lambda \leq 2{\sqrt {d-1}}+\varepsilon } . In 2003, Joel Friedman both proved the conjecture and specified what is meant by

    Expander graph

    Expander_graph

  • 4-manifold
  • Mathematical space

    when the form is 0, this implies the 4-dimensional topological Poincaré conjecture. If the form is the E8 lattice, this gives a manifold called the E8 manifold

    4-manifold

    4-manifold

  • Liouville function
  • Arithmetic function

    T(n)=\sum _{k=1}^{n}{\frac {\lambda (k)}{k}}.} It was open for some time whether T(n) ≥ 0 for sufficiently big n ≥ n0 (this conjecture is occasionally—though

    Liouville function

    Liouville_function

  • Derrick's theorem
  • Physics theorem argued by G. H. Derrick

    {\displaystyle E_{\lambda }=\int \left[(\nabla \theta _{\lambda })^{2}+f(\theta _{\lambda })\right]\,d^{3}x=I_{1}/\lambda +I_{2}/\lambda ^{3}.} Whence d

    Derrick's theorem

    Derrick's_theorem

  • K-stability
  • Algebro-geometric stability condition

    conjecture about the existence of Kähler metrics on compact Kähler manifolds, now known as the Calabi conjecture. One formulation of the conjecture is

    K-stability

    K-stability

  • Picard theorem
  • Theorem about the range of an analytic function

    together to a holomorphic 1-form g dz on D \ {0}. In the special case where the residue of g at 0 is zero the conjecture follows from the "Great Picard's

    Picard theorem

    Picard theorem

    Picard_theorem

  • Normal form (abstract rewriting)
  • Expression that cannot be rewritten further

    {\lambda } x.xxx)(\lambda x.xxx)&\rightarrow (\mathbf {\lambda } x.xxx)(\lambda x.xxx)(\lambda x.xxx)\\&\rightarrow (\mathbf {\lambda } x.xxx)(\lambda x

    Normal form (abstract rewriting)

    Normal_form_(abstract_rewriting)

  • Baker's theorem
  • On algebraic independence of logarithms

    C :   e λ ∈ Q ¯ } , {\displaystyle \mathbb {L} =\left\{\lambda \in \mathbb {C} :\ e^{\lambda }\in {\overline {\mathbb {Q} }}\right\},} where C {\displaystyle

    Baker's theorem

    Baker's_theorem

  • J-invariant
  • Modular function in mathematics

    \left\lbrace {\lambda ,{\frac {1}{1-\lambda }},{\frac {\lambda -1}{\lambda }},{\frac {1}{\lambda }},{\frac {\lambda }{\lambda -1}},1-\lambda }\right\rbrace

    J-invariant

    J-invariant

    J-invariant

  • Poisson summation formula
  • Equation in Fourier analysis

    {\displaystyle f_{\Lambda }(x)\sim \sum _{\lambda '\in \Lambda '}{\hat {f}}(\lambda ')e^{2\pi i\lambda 'x}} where Λ ′ {\displaystyle \Lambda '} is the dual

    Poisson summation formula

    Poisson_summation_formula

  • Scalar curvature
  • Measure of curvature in differential geometry

    = g μ ν ( Γ λ μ ν , λ − Γ λ μ λ , ν + Γ σ μ ν Γ λ λ σ − Γ σ μ λ Γ λ ν σ ) {\displaystyle \operatorname {Scal} =g^{\mu \nu }\left({\Gamma ^{\lambda }}_{\mu

    Scalar curvature

    Scalar_curvature

  • N! conjecture
  • implies Macdonald's positivity conjecture about the Macdonald polynomials. The Macdonald polynomials P λ {\displaystyle P_{\lambda }} are a two-parameter family

    N! conjecture

    N!_conjecture

  • Gaudin model
  • Physics model in statistical mechanics

    g {\displaystyle {\mathfrak {g}}} . Define the tensor product V ( λ ) := V λ 1 ⊗ ⋯ ⊗ V λ N {\displaystyle V_{({\boldsymbol {\lambda }})}:=V_{\lambda _{1}}\otimes

    Gaudin model

    Gaudin_model

  • Abstract elementary class
  • {\displaystyle \lambda } , then K is categorical in all high-enough μ ≤ λ {\displaystyle \mu \leq \lambda } . Shelah's categoricity conjecture for a successor

    Abstract elementary class

    Abstract_elementary_class

  • Higher-spin theory
  • Theory with particles of spin more than two

    _{\lambda \geq 0}\Phi _{-\lambda }\square \Phi _{\lambda }+\sum _{\lambda _{1,2,3}}{\frac {g\,{\mathrm {l_{p}} }^{\lambda _{1}+\lambda _{2}+\lambda _{3}-1}}{\Gamma

    Higher-spin theory

    Higher-spin_theory

  • Analytic torsion
  • Topological invariant of manifolds that can distinguish homotopy-equivalent manifolds

    Cheeger (1977, 1979) and Werner Müller (1978) proved Ray and Singer's conjecture that Reidemeister torsion and analytic torsion are the same for compact

    Analytic torsion

    Analytic_torsion

  • Crank of a partition
  • {\displaystyle c(\lambda )={\begin{cases}\ell (\lambda )&{\text{if }}\omega (\lambda )=0\\\mu (\lambda )-\omega (\lambda )&{\text{if }}\omega (\lambda )>0.\end{cases}}}

    Crank of a partition

    Crank_of_a_partition

  • Lorentz transformation
  • Family of linear transformations

    Lambda ^{0}}_{0}&{\Lambda ^{0}}_{1}&{\Lambda ^{0}}_{2}&{\Lambda ^{0}}_{3}{\vphantom {{x'}^{0}}}\\{\Lambda ^{1}}_{0}&{\Lambda ^{1}}_{1}&{\Lambda ^{1}}_{2}&{\Lambda

    Lorentz transformation

    Lorentz transformation

    Lorentz_transformation

  • Duality (optimization)
  • Principle in mathematical optimization

    _{x}L(x,\lambda )} . The Lagrangian dual program is the program of maximizing g: max λ ≥ 0 g ( λ ) {\displaystyle \max _{\lambda \geq 0}g(\lambda )} . The

    Duality (optimization)

    Duality_(optimization)

  • Weyl law
  • Description in spectral theory

    π ) − d ω d v o l ( Ω ) {\displaystyle \lim _{\lambda \rightarrow \infty }{\frac {N(\lambda )}{\lambda ^{d/2}}}=(2\pi )^{-d}\omega _{d}\mathrm {vol} (\Omega

    Weyl law

    Weyl_law

  • Poisson binomial distribution
  • Probability distribution

    {1}{32}}\min \left\{\,{\frac {1}{\lambda }},1\,\right\}\sum _{i=1}^{n}p_{i}^{2}\leq d(PB,Po)\leq {\frac {1-e^{-\lambda }}{\lambda }}\sum _{i=1}^{n}p_{i}^{2}}

    Poisson binomial distribution

    Poisson_binomial_distribution

  • L-function
  • Meromorphic function on the complex plane

    research programs. The Ramanujan conjecture refers to the coefficients λ ( f , n ) {\displaystyle \textstyle \lambda (f,n)} of the Dirichlet series. It

    L-function

    L-function

    L-function

  • Figure-eight knot (mathematics)
  • Unique knot with a crossing number of four

    02988... {\displaystyle 6\Lambda (\pi /3)\approx 2.02988...} (sequence A091518 in the OEIS), where Λ {\displaystyle \Lambda } is the Lobachevsky function

    Figure-eight knot (mathematics)

    Figure-eight knot (mathematics)

    Figure-eight_knot_(mathematics)

  • Van der Corput's method
  • ≤ β | ∑ ν = α γ e ( g ( ν ) ) |   . {\displaystyle \left\vert {\sum _{n=a}^{b}e(f(n))}\right\vert \ll {\frac {1}{\sqrt {\lambda }}}\max _{\alpha \leq

    Van der Corput's method

    Van_der_Corput's_method

  • Invariant decomposition
  • Concept in group theory (mathematics)

    2 ∈ R {\displaystyle \lambda _{i}:=F_{i}^{2}\in \mathbb {R} } . Marcel Riesz gave some examples which lead to this conjecture, but also one (seeming)

    Invariant decomposition

    Invariant_decomposition

  • Loewner differential equation
  • solution of the Bieberbach conjecture by Louis de Branges in 1985. Loewner himself used his techniques in 1923 for proving the conjecture for the third coefficient

    Loewner differential equation

    Loewner_differential_equation

  • Lyapunov exponent
  • Rate of separation of infinitesimally close trajectories

    |{\boldsymbol {\delta }}(t)|\approx e^{\lambda t}|{\boldsymbol {\delta }}_{0}|} where λ {\displaystyle \lambda } is the Lyapunov exponent. The rate of

    Lyapunov exponent

    Lyapunov exponent

    Lyapunov_exponent

  • Lattice problem
  • Optimization problem in computer science

    optimization problems related to mathematical objects called lattices. The conjectured intractability of such problems is central to the construction of secure

    Lattice problem

    Lattice_problem

  • Difference set
  • Term in combinatorics

    been conjectured that if p is a prime dividing k − λ {\displaystyle k-\lambda } and not dividing v, then the group automorphism defined by gg p {\displaystyle

    Difference set

    Difference_set

  • Dirichlet L-function
  • Type of mathematical function

    Λ ( s , χ ) = W ( χ ) Λ ( 1 − s , χ ¯ ) . {\displaystyle \Lambda (s,\chi )=W(\chi )\Lambda (1-s,{\overline {\chi }}).} This implies that L ( s , χ ) {\displaystyle

    Dirichlet L-function

    Dirichlet_L-function

  • De Branges space
  • , G ] = 1 π ∫ R F ( λ ) ¯ G ( λ ) d λ | E ( λ ) | 2 . {\displaystyle [F,G]={\frac {1}{\pi }}\int _{\mathbb {R} }{\overline {F(\lambda )}}G(\lambda ){\frac

    De Branges space

    De_Branges_space

  • Complex multiplication
  • Theory of a class of elliptic curves

    z ) {\displaystyle f(\lambda z)} for all λ {\displaystyle \lambda } in K {\displaystyle K} . Conversely, Kronecker conjectured – in what became known

    Complex multiplication

    Complex_multiplication

  • Fredholm theory
  • Mathematical theory of integral equations

    {\displaystyle \lambda =1/\omega } , in which case it is known as the Liouville-Neumann series. In this case, the integral equation is written as g ( x ) = φ

    Fredholm theory

    Fredholm_theory

  • Roth's theorem on arithmetic progressions
  • On the existence of arithmetic progressions in subsets of the natural numbers

    {\displaystyle \Lambda _{3}(f)=\Lambda (f,f,f)} . Then | Λ 3 ( f ) − Λ 3 ( g ) | ≤ 3 M ‖ f − g ^ ‖ ∞ {\displaystyle |\Lambda _{3}(f)-\Lambda _{3}(g)|\leq 3M\|{\widehat

    Roth's theorem on arithmetic progressions

    Roth's_theorem_on_arithmetic_progressions

  • Sectional curvature
  • Description in Riemannian geometry

    | g 2 = 1 λ K g ( v , w ) . {\displaystyle K_{\lambda g}(v,w)={\frac {\lambda g\left(R^{\lambda g}(v,w)w,v\right)}{|v|_{\lambda g}^{2}|w|_{\lambda g}^{2}-\langle

    Sectional curvature

    Sectional_curvature

  • Primitive root modulo n
  • Modular arithmetic concept

    p ) {\displaystyle a^{\frac {p-1}{2}}\equiv -1{\pmod {p}}} . Artin's conjecture on primitive roots states that a given integer a that is neither a perfect

    Primitive root modulo n

    Primitive_root_modulo_n

  • Failure rate
  • Frequency with which an engineered system or component fails

    finance. It is usually denoted by the Greek letter λ {\displaystyle \lambda } (lambda). In real-world applications, the failure probability of a system usually

    Failure rate

    Failure_rate

  • Cheeger constant (graph theory)
  • Measure of whether or not a graph has a "bottleneck"

    for G ≠ K 1 , K 2 , K 3 {\displaystyle G\neq K_{1},K_{2},K_{3}} , we have 2 h ( G ) ≥ λ ≥ h 2 ( G ) 2 Δ ( G ) {\displaystyle 2h(G)\geq \lambda \geq {\frac

    Cheeger constant (graph theory)

    Cheeger constant (graph theory)

    Cheeger_constant_(graph_theory)

  • Plancherel theorem for spherical functions
  • Representation theory

    G, via the formula χ λ ( π ( f ) ) = ∫ G f ( g ) ⋅ φ λ ( g ) d g . {\displaystyle \chi _{\lambda }(\pi (f))=\int _{G}f(g)\cdot \varphi _{\lambda }(g)\

    Plancherel theorem for spherical functions

    Plancherel_theorem_for_spherical_functions

  • Random matrix
  • Matrix-valued random variable

    {Z}}_{N}}}e^{-H_{N}(\lambda )}\mathrm {d} \lambda ,\qquad H_{N}(\lambda )=-\sum \limits _{j\neq k}\ln |\lambda _{j}-\lambda _{k}|+N\sum \limits _{j=1}^{N}Q(\lambda _{j})

    Random matrix

    Random_matrix

  • Renormalon
  • Divergence in perturbative quantum field theory

    p {\displaystyle \left(\Lambda /Q\right)^{p}} as functions of the momentum Q {\displaystyle Q} (here Λ {\displaystyle \Lambda } is the momentum cut-off)

    Renormalon

    Renormalon

  • Pure type system
  • Form of typed lambda calculus

    calculus of constructions, but this is not generally the case, e.g. the simply typed lambda calculus allows only terms to depend on terms. Pure type systems

    Pure type system

    Pure_type_system

  • Tate module
  • Algebraic structure

    + κ   . {\displaystyle \lambda m+\mu p^{m}+\kappa \ .} The Ferrero–Washington theorem states that μ is zero. Tate conjecture Tate twist Iwasawa theory

    Tate module

    Tate_module

  • Matrix exponential
  • Matrix operation generalizing exponentiation of scalar numbers

    k}=\left\{{\begin{aligned}&{\frac {G_{ik}-G_{jk}}{\lambda _{i}-\lambda _{j}}}&{\text{ if }}i\neq j,\\&{\frac {G_{ii}-G_{ik}}{\lambda _{i}-\lambda _{k}}}&{\text{ if }}i=j{\text{

    Matrix exponential

    Matrix_exponential

  • Modular form
  • Analytic function on the upper half-plane with a certain behavior under the modular group

    non-zero vectors λ of Λ: G k ( Λ ) = ∑ 0 ≠ λ ∈ Λ λ − k . {\displaystyle G_{k}(\Lambda )=\sum _{0\neq \lambda \in \Lambda }\lambda ^{-k}.} Then Gk is a modular

    Modular form

    Modular_form

  • Kobayashi–Hitchin correspondence
  • Vector bundles theorem

    named after Shoshichi Kobayashi and Nigel Hitchin, who independently conjectured in the 1980s that the moduli spaces of stable vector bundles and Einstein–Hermitian

    Kobayashi–Hitchin correspondence

    Kobayashi–Hitchin_correspondence

  • Banach algebra
  • Particular kind of algebraic structure

    ( λ x ) ∗ = λ ¯ x ∗ {\displaystyle (\lambda x)^{*}={\bar {\lambda }}x^{*}} for every λ ∈ C {\displaystyle \lambda \in \mathbb {C} } and every x ∈ A ; {\displaystyle

    Banach algebra

    Banach_algebra

  • Trace inequality
  • Concept in Hlibert spaces mathematics

    {\displaystyle g(\lambda A_{1}+(1-\lambda )A_{2},\lambda B_{1}+(1-\lambda )B_{2})~\leq ~\lambda g(A_{1},B_{1})+(1-\lambda )g(A_{2},B_{2}).} A function g {\displaystyle

    Trace inequality

    Trace_inequality

  • Congruence subgroup
  • Matrix group

    property. A conjecture generally attributed to Serre states that an irreducible arithmetic lattice in a semisimple Lie group G {\displaystyle G} has the

    Congruence subgroup

    Congruence_subgroup

  • Constructivism (philosophy of mathematics)
  • Philosphical view that existence proofs must be constructive

    known whether either a proof or a disproof of Goldbach's conjecture must exist (the conjecture may be undecidable in traditional ZF set theory). Thus to

    Constructivism (philosophy of mathematics)

    Constructivism_(philosophy_of_mathematics)

  • Strong subadditivity of quantum entropy
  • Relationship of various quantum subsystems

    ≥ λ g ( A 1 , B 1 ) + ( 1 − λ ) g ( A 2 , B 2 ) . {\displaystyle g(\lambda A_{1}+(1-\lambda )A_{2},\lambda B_{1}+(1-\lambda )B_{2})\geq \lambda g(A_{1}

    Strong subadditivity of quantum entropy

    Strong_subadditivity_of_quantum_entropy

  • Doubly stochastic matrix
  • Type of square matrix

    1 / n {\displaystyle 1/n} . Proofs of this conjecture were published in 1980 by B. Gyires and in 1981 by G. P. Egorychev and D. I. Falikman; for this

    Doubly stochastic matrix

    Doubly_stochastic_matrix

  • Functional equation (L-function)
  • pairs: Λ ( s , χ ) = ε Λ ( 1 − s , χ ∗ ) {\displaystyle \Lambda (s,\chi )=\varepsilon \Lambda (1-s,\chi ^{*})} with χ a primitive Dirichlet character,

    Functional equation (L-function)

    Functional_equation_(L-function)

  • Quantum nonlocality
  • Deviations from local realism

    P(a,b|x,y)=\sum _{\lambda _{A},\lambda _{B}\in \Lambda }\rho (\lambda _{A},\lambda _{B})P_{A}(a|x,\lambda _{A})P_{B}(b|y,\lambda _{B})} A box admitting

    Quantum nonlocality

    Quantum_nonlocality

  • Busy beaver
  • Concept in theoretical computer science

    _{1}^{0}} conjecture: any conjecture that could be disproven via a counterexample among a countable number of cases (e.g. Goldbach's conjecture). Write

    Busy beaver

    Busy beaver

    Busy_beaver

  • Khovanov homology
  • Invariant of mathematical knots

    ) . {\displaystyle \lambda P(L_{1})-\lambda ^{-1}P(L_{2})=(q-q^{-1})P(L_{3}).} Substituting λ = q n , n ≤ 0 {\displaystyle \lambda =q^{n},n\leq 0} leads

    Khovanov homology

    Khovanov_homology

  • K3 surface
  • Type of smooth complex surface of kodaira dimension 0

    over a field is projective.) By Shing-Tung Yau's solution to the Calabi conjecture, it follows that every complex analytic K3 surface has a Ricci-flat Kähler

    K3 surface

    K3 surface

    K3_surface

  • Gauss–Kuzmin–Wirsing operator
  • Mathematical concept

    ≥ | λ 3 | ≥ ⋯ . {\displaystyle 1=|\lambda _{1}|>|\lambda _{2}|\geq |\lambda _{3}|\geq \cdots .} It was conjectured in 1995 by Philippe Flajolet and Brigitte

    Gauss–Kuzmin–Wirsing operator

    Gauss–Kuzmin–Wirsing_operator

  • Weak gravity conjecture
  • Conjecture that gravity must be the weakest force

    In theoretical physics, the weak gravity conjecture (WGC) is a conjecture regarding the strength gravity can have in a theory of quantum gravity relative

    Weak gravity conjecture

    Weak_gravity_conjecture

  • Four-dimensional Chern–Simons theory
  • Gauge theory providing unifying formalism for integrable systems

    {\displaystyle C=\mathbb {C} /\Lambda } a complex torus (with Λ {\displaystyle \Lambda } a 2d lattice). If g = 0 {\displaystyle g=0} , then C {\displaystyle

    Four-dimensional Chern–Simons theory

    Four-dimensional_Chern–Simons_theory

  • Arakelov theory
  • Mathematical theory

    proof of the Mordell conjecture, and by Gerd Faltings (1991) in his proof of Serge Lang's generalization of the Mordell conjecture. Pierre Deligne (1987)

    Arakelov theory

    Arakelov_theory

  • Support of a module
  • {\displaystyle M_{\lambda }} , then Supp ⁡ M = ⋃ λ Supp ⁡ M λ . {\displaystyle \operatorname {Supp} M=\bigcup _{\lambda }\operatorname {Supp} M_{\lambda }.} If M

    Support of a module

    Support_of_a_module

  • Atiyah–Hirzebruch spectral sequence
  • gluing data ( U i j , g i j ) {\displaystyle (U_{ij},g_{ij})} where g i j g j k g k i = λ i j k {\displaystyle g_{ij}g_{jk}g_{ki}=\lambda _{ijk}} for some

    Atiyah–Hirzebruch spectral sequence

    Atiyah–Hirzebruch_spectral_sequence

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LAMBDA G-CONJECTURE

  • Lamisa
  • Girl/Female

    Indian

    Lamisa

    Soft to touch

    Lamisa

  • Lambodar
  • Boy/Male

    Hindu

    Lambodar

    Lord Ganesh, The huge bellied Lord

    Lambodar

  • Lamiya
  • Girl/Female

    Indian

    Lamiya

    Dark lipped

    Lamiya

  • Miloslsv
  • Boy/Male

    Czechoslovakian

    Miloslsv

    Loves g)ory.

    Miloslsv

  • Lambdin
  • Surname or Lastname

    English

    Lambdin

    English : habitational name from Lambden in Berwickshire.

    Lambdin

  • Lambie
  • Surname or Lastname

    English

    Lambie

    English : from a pet form of Lamb 1 and 2.English : from an Old Norse personal name Lambi, from lamb ‘lamb’.

    Lambie

  • Almeda
  • Girl/Female

    Indian

    Almeda

    Ambitious

    Almeda

  • AMADA
  • Female

    Spanish

    AMADA

    Feminine form of Spanish Amado, AMADA means "beloved."

    AMADA

  • Lamb
  • Surname or Lastname

    English

    Lamb

    English : from Middle English lamb, a nickname for a meek and inoffensive person, or a metonymic occupational name for a keeper of lambs. See also Lamm.English : from a short form of the personal name Lambert.Irish : reduced Anglicized form of Gaelic Ó Luain (see Lane 3). MacLysaght comments: ‘The form Lamb(e), which results from a more than usually absurd pseudo-translation (uan ‘lamb’), is now much more numerous than O’Loan itself.’Possibly also a translation of French agneau.

    Lamb

  • Lamba |
  • Girl/Female

    Muslim

    Lamba |

    Flame

    Lamba |

  • AMBRA
  • Female

    Italian

    AMBRA

    Italian form of English Amber, AMBRA means "amber."

    AMBRA

  • RÍG
  • Male

    Norse

    RÍG

    Old Norse name RÍG means "king." In mythology, this is the name of the god who brought into being the progenitors of the three classes of human beings.

    RÍG

  • Ã…SLÖG
  • Female

    Swedish

    ÅSLÖG

    Swedish form of Old Norse Áslaug, ÅSLÖG means "God-betrothed woman."

    ÅSLÖG

  • Lamiya |
  • Girl/Female

    Muslim

    Lamiya |

    Dark lipped

    Lamiya |

  • ASLØG
  • Female

    Danish

    ASLØG

    , divine liquor.

    ASLØG

  • Lamba
  • Girl/Female

    Arabic, Indian, Muslim, Pashtun, Sanskrit

    Lamba

    Flame; Large; Spacious; Tall; Another Name for Durga and Lakshmi

    Lamba

  • ALAMEDA
  • Female

    Native American

    ALAMEDA

    Native American Indian name ALAMEDA means "grove of cottonwood."

    ALAMEDA

  • LAMIA
  • Female

    Greek

    LAMIA

    (Λαμία) Greek myth name of an evil spirit who abducts and devours children, LAMIA means "large shark." The name means "vampire" in Latin and "fiend" in Arabic.

    LAMIA

  • VIRÁG
  • Female

    Hungarian

    VIRÁG

    Hungarian name VIRÁG means "flower."

    VIRÁG

  • Lamba
  • Girl/Female

    Indian

    Lamba

    Flame

    Lamba

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Online names & meanings

  • Garim
  • Girl/Female

    Indian, Marathi, Tanzanian

    Garim

    Grace; Divinity

  • Dilruba |
  • Girl/Female

    Muslim

    Dilruba |

    Heart-ravishing

  • MERV
  • Male

    English

    MERV

    Short form of English Mervin, MERV means "marrow-eminent."

  • Gorden
  • Boy/Male

    American, Australian, British, Christian, English, German

    Gorden

    Hill Near Meadows; Triangular Hill; Spacious Fort

  • Vinapani
  • Girl/Female

    Hindu, Indian, Kannada, Telugu

    Vinapani

    Goddess Saraswati

  • Ikkhata
  • Boy/Male

    Gujarati, Hindu, Indian, Kannada

    Ikkhata

    Cutting

  • Sai Roop | ஸாஈ ரூப
  • Boy/Male

    Tamil

    Sai Roop | ஸாஈ ரூப

    Flower

  • Veesha
  • Girl/Female

    Hindu, Indian, Sindhi

    Veesha

    Well Behaved; Polite

  • Shuneal
  • Boy/Male

    Arabic, Muslim

    Shuneal

    Traveller

  • Scales
  • Boy/Male

    Shakespearean

    Scales

    Henry VI, Part 2' Lord Scales.

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LAMBDA G-CONJECTURE

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  • Frost-blite
  • n.

    The lamb's-quarters (Chenopodium album).

  • Lamina
  • n.

    The blade of a leaf; the broad, expanded portion of a petal or sepal of a flower.

  • Lamb
  • v. i.

    To bring forth a lamb or lambs, as sheep.

  • Green-broom
  • n.

    A plant of the genus Genista (G. tinctoria); dyer's weed; -- called also greenweed.

  • Laminae
  • pl.

    of Lamina

  • Heterography
  • n.

    That method of spelling in which the same letters represent different sounds in different words, as in the ordinary English orthography; e. g., g in get and in ginger.

  • Lambda
  • n.

    The name of the Greek letter /, /, corresponding with the English letter L, l.

  • Lamb
  • n.

    Any person who is as innocent or gentle as a lamb.

  • Gamma
  • n.

    The third letter (/, / = Eng. G) of the Greek alphabet.

  • Lampad
  • n.

    A lamp or candlestick.

  • Lambed
  • imp. & p. p.

    of Lamb

  • Bierbalk
  • n.

    A church road (e. g., a path across fields) for funerals.

  • Lamina
  • n.

    A thin plate or scale; specif., one of the thin, flat processes composing the vane of a feather.

  • Lamina
  • n.

    A thin plate or scale; a layer or coat lying over another; -- said of thin plates or platelike substances, as of bone or minerals.

  • Gamba
  • n.

    A viola da gamba.

  • Lamp
  • n.

    A thin plate or lamina.

  • Laminas
  • pl.

    of Lamina

  • Lambda
  • n.

    The point of junction of the sagittal and lambdoid sutures of the skull.