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WEDGE SUM

  • Wedge sum
  • Space in topology mathematics

    In topology, the wedge sum is a "one-point union" of a family of topological spaces. Specifically, if X and Y are pointed spaces (i.e. topological spaces

    Wedge sum

    Wedge sum

    Wedge_sum

  • Seifert–Van Kampen theorem
  • Describes the fundamental group in terms of a cover by two open path-connected subspaces

    {\displaystyle (X,x)} and ( Y , y ) {\displaystyle (Y,y)} we can form their wedge sum, ( X ∨ Y , p ) {\displaystyle (X\vee Y,p)} , by taking the quotient of

    Seifert–Van Kampen theorem

    Seifert–Van_Kampen_theorem

  • Mayer–Vietoris sequence
  • Algebraic tool for computing topological spaces' invariants

    \\0&{\mbox{if }}n\neq 1.\end{cases}}} Let X {\displaystyle X} be the wedge sum of two spaces K {\displaystyle K} and L {\displaystyle L} , and suppose

    Mayer–Vietoris sequence

    Mayer–Vietoris_sequence

  • Descending wedge
  • Logic symbol resembling a "V"

    The descending wedge symbol ∨ may represent: Logical disjunction in propositional logic Join in lattice theory The wedge sum in topology The V sign, a

    Descending wedge

    Descending_wedge

  • Product
  • Topics referred to by the same term

    Product topology Cap product Cup product Slant product Smash product Wedge sum (or wedge product) Internal product, in a monoidal category Product (category

    Product

    Product

  • Wedge product (topology)
  • Index of articles associated with the same name

    The wedge product in topology may refer to: The wedge sum, which joins two spaces at a point The smash product, the product in the category of pointed

    Wedge product (topology)

    Wedge_product_(topology)

  • Exterior algebra
  • Algebra associated to any vector space

    (x_{1}\wedge \cdots \wedge x_{p+1})={\frac {1}{p+1}}\sum _{j<\ell }(-1)^{j+\ell +1}[x_{j},x_{\ell }]\wedge x_{1}\wedge \cdots \wedge {\hat {x}}_{j}\wedge \cdots

    Exterior algebra

    Exterior algebra

    Exterior_algebra

  • Sum
  • Topics referred to by the same term

    in cryptography Sum rule in differentiation, in calculus Sum rule in integration, in calculus Sum rule in quantum mechanics Wedge sum, a one-point union

    Sum

    Sum

  • Free product
  • Operation that combines groups

    fundamental groups of the spaces. In particular, the fundamental group of the wedge sum of two spaces (i.e. the space obtained by joining two spaces together

    Free product

    Free product

    Free_product

  • Cup product
  • Operation in cohomology theory

    the cup product of differential forms is induced by the wedge product. In other words, the wedge product of two closed differential forms belongs to the

    Cup product

    Cup_product

  • Fundamental group
  • Mathematical group of the homotopy classes of loops in a topological space

    free group on r {\displaystyle r} letters. The fundamental group of a wedge sum of two path connected spaces X {\displaystyle X} and Y {\displaystyle

    Fundamental group

    Fundamental_group

  • Smash product
  • Combination of pointed topological spaces

    of X × Y. So the union of these subspaces can be identified with the wedge sum X ∨ Y = ( X ⨿ Y ) / ∼ {\displaystyle X\vee Y=(X\amalg Y)\;/{\sim }} .

    Smash product

    Smash_product

  • Glossary of mathematical symbols
  • upper bound operation. 3.  In topology, denotes the wedge sum of two pointed spaces. ∧    (wedge) 1.  Denotes logical conjunction, and is read as "and"

    Glossary of mathematical symbols

    Glossary_of_mathematical_symbols

  • Bouquet
  • Topics referred to by the same term

    of audio/video services. In mathematics, a space constructed with the wedge sum, for example, the bouquet of circles Bouquet, an alternative name for

    Bouquet

    Bouquet

  • Wedge (disambiguation)
  • Topics referred to by the same term

    up wedge in Wiktionary, the free dictionary. A wedge is a triangular-shaped simple machine. Wedge, The Wedge, or Wedges may also refer to: Wedge (footwear)

    Wedge (disambiguation)

    Wedge_(disambiguation)

  • Product (mathematics)
  • Mathematical form

    slant product in algebraic topology the smash product and wedge sum (sometimes called the wedge product) in homotopy A few of the above products are examples

    Product (mathematics)

    Product_(mathematics)

  • Homotopy group
  • Algebraic construct classifying topological spaces

    {\displaystyle S^{n}} to the wedge sum of two n-spheres that collapses the equator and h is the map from the wedge sum of two n-spheres to X that is

    Homotopy group

    Homotopy_group

  • Pointed space
  • Topological space with a distinguished point

    the basepoint. The coproduct in the category of pointed spaces is the wedge sum, which can be thought of as the 'one-point union' of spaces. The smash

    Pointed space

    Pointed_space

  • Rose (topology)
  • Type of topological space

    topology, where they are closely related to free groups. A rose is a wedge sum of circles. That is, the rose is the quotient space C/S, where C is a

    Rose (topology)

    Rose (topology)

    Rose_(topology)

  • Coproduct
  • Category-theoretic construction

    pointed spaces, fundamental in homotopy theory, the coproduct is the wedge sum (which amounts to joining a collection of spaces with base points at a

    Coproduct

    Coproduct

  • Graph (topology)
  • Topological space arising from a usual graph

    fact, X ∖ T {\displaystyle X\setminus T} is homotopy equivalent to a wedge sum of circles. Forming the topological space associated to a graph as above

    Graph (topology)

    Graph_(topology)

  • Hawaiian earring
  • Topological space defined by the union of circles

    with this complication. The Hawaiian earring looks very similar to the wedge sum of countably infinitely many circles; that is, the rose with infinitely

    Hawaiian earring

    Hawaiian earring

    Hawaiian_earring

  • Shelling (topology)
  • Mathematical concept

    analogous properties. A shellable complex is homotopy equivalent to a wedge sum of spheres, one for each spanning simplex of corresponding dimension.

    Shelling (topology)

    Shelling_(topology)

  • Eilenberg–MacLane space
  • Topological space with only one nontrivial homotopy group

    ( Z / 2 Z , 1 ) {\displaystyle K(\mathbb {Z} /2\mathbb {Z} ,1)} . The wedge sum of k unit circles ⋁ i = 1 k S 1 {\displaystyle \textstyle \bigvee _{i=1}^{k}S^{1}}

    Eilenberg–MacLane space

    Eilenberg–MacLane_space

  • Pushout (category theory)
  • Most general completion of a commutative square given two morphisms with same domain

    regarded as pushouts in this way. A special case of the above is the wedge sum or one-point union; here we take X and Y to be pointed spaces and Z the

    Pushout (category theory)

    Pushout_(category_theory)

  • Differential form
  • Expression that may be integrated over a region

    k {\displaystyle \sum _{i_{1},i_{2}\ldots i_{k}=1}^{n}f_{i_{1}i_{2}\ldots i_{k}}\,dx^{i_{1}}\wedge dx^{i_{2}}\wedge \cdots \wedge dx^{i_{k}}} for a collection

    Differential form

    Differential_form

  • Shoelace formula
  • Mathematical algorithm for calculating area of a simple polygon

    {\displaystyle A={\frac {1}{2}}\sum _{i=1}^{n}v_{i}\wedge v_{i+1}={\frac {1}{2}}\sum _{i=1}^{n}(x_{i}y_{i+1}-x_{i+1}y_{i})\;\mathbf {x} \wedge \mathbf {y} } Note that

    Shoelace formula

    Shoelace formula

    Shoelace_formula

  • List of algebraic topology topics
  • Algebraic topology uses abstract algebra to study topological spaces

    Monodromy Homotopy lifting property Mapping cylinder Mapping cone (topology) Wedge sum Smash product Adjunction space Cohomotopy Cohomotopy group Brown's representability

    List of algebraic topology topics

    List_of_algebraic_topology_topics

  • Presentation complex
  • ∨ R P 2 {\displaystyle \mathbb {RP} ^{2}\vee \mathbb {RP} ^{2}} , the wedge sum of projective planes. For each path, there is one 2-cell glued to each

    Presentation complex

    Presentation_complex

  • Whitehead product
  • Homotopy operation

    obtained by attaching a ( k + l ) {\displaystyle (k+l)} -cell to the wedge sum S k ∨ S l {\displaystyle S^{k}\vee S^{l}} ; the attaching map is a map

    Whitehead product

    Whitehead_product

  • Morava K-theory
  • Cohomology theory

    K(n) is free, i.e. a wedge of suspensions of K(n). They are complex oriented (at least after being periodified by taking the wedge sum of (pn − 1) shifted

    Morava K-theory

    Morava_K-theory

  • Combinational logic
  • Type of digital logic implemented by Boolean circuits

    {\begin{aligned}(A\wedge B)\vee (\lnot A\wedge C)\vee (B\wedge C)&=(A\wedge B)\vee (\lnot A\wedge C)\\(A\vee B)\wedge (\lnot A\vee C)\wedge (B\vee C)&=(A\vee B)\wedge (\lnot

    Combinational logic

    Combinational logic

    Combinational_logic

  • Alexandroff extension
  • Way to extend a non-compact topological space

    B ) / ( A ∨ B ) {\displaystyle A\wedge B=(A\times B)/(A\vee B)} where A ∨ B {\displaystyle A\vee B} is the wedge sum, and again, / denotes the quotient

    Alexandroff extension

    Alexandroff_extension

  • Sumer
  • Ancient Mesopotamian civilization from 3300 to 1900 BC

    Sumer (/ˈsuːmər/ SOO-mər) is the earliest known civilization, located in the historical region of southern Mesopotamia (now south-central Iraq), emerging

    Sumer

    Sumer

    Sumer

  • Adjunction space
  • attaching map. If A is a space with one point then the adjunction is the wedge sum of X and Y. If X is a space with one point then the adjunction is the

    Adjunction space

    Adjunction_space

  • Landau–Lifshitz model
  • {S} }{\partial t}}=\mathbf {S} \wedge \sum _{i}{\frac {\partial ^{2}\mathbf {S} }{\partial x_{i}^{2}}}+\mathbf {S} \wedge J\mathbf {S} .\qquad (2)} In 1+1

    Landau–Lifshitz model

    Landau–Lifshitz_model

  • Exterior derivative
  • Operation on differential forms

    wedge dx^{i_{1}}\wedge \cdots \wedge dx^{i_{k}}+g\sum _{p=1}^{k}(-1)^{p-1}\,dx^{i_{1}}\wedge \cdots \wedge dx^{i_{p-1}}\wedge d^{2}x^{i_{p}}\wedge dx^{i_{p+1}}\wedge

    Exterior derivative

    Exterior_derivative

  • Homotopy theory
  • Branch of mathematics

    Explicitly, X ∧ Y {\displaystyle X\wedge Y} is the quotient of X × Y {\displaystyle X\times Y} by the wedge sum X ∨ Y {\displaystyle X\vee Y} . Let I

    Homotopy theory

    Homotopy_theory

  • Adjugate matrix
  • For a square matrix, the transpose of the cofactor matrix

    _{1}\wedge \dots \wedge {\hat {\mathbf {e} }}_{j}\wedge \dots \wedge \mathbf {e} _{n}\mapsto \sum _{k=1}^{n}(\det A_{jk})\mathbf {e} _{1}\wedge \dots

    Adjugate matrix

    Adjugate_matrix

  • Determinant
  • In mathematics, invariant of square matrices

    {\displaystyle v_{1}\wedge \cdots \wedge v_{n}\left(\sum _{i_{1}=1}^{n}a_{i_{1}1}e_{i_{1}}\right)\wedge \cdots \wedge \left(\sum _{i_{n}=1}^{n}a_{i_{

    Determinant

    Determinant

  • Edge-of-the-wedge theorem
  • Theorem of analytic continuations

    In mathematics, the edge-of-the-wedge theorem implies that holomorphic functions on two "wedges" with an "edge" in common are analytic continuations of

    Edge-of-the-wedge theorem

    Edge-of-the-wedge_theorem

  • Generalised Whitehead product
  • {\displaystyle [\Sigma (A\vee B),X]} , where ∨ {\displaystyle \vee } denotes wedge sum. The generalised Whitehead product is then defined as the unique element

    Generalised Whitehead product

    Generalised_Whitehead_product

  • Integral
  • Operation in calculus

    two-form is a sum of the form G ( x , y , z ) d x ∧ d y + E ( x , y , z ) d y ∧ d z + F ( x , y , z ) d z ∧ d x . {\displaystyle G(x,y,z)\,dx\wedge dy+E(x,y

    Integral

    Integral

    Integral

  • List of general topology topics
  • connected Path (topology) Homotopy Homotopy lifting property Pointed space Wedge sum Smash product Cone (topology) Adjunction space Topological algebra Topological

    List of general topology topics

    List_of_general_topology_topics

  • Wedge (golf)
  • Type of golf club used in special situations

    the sport of golf, a wedge is a subset of the iron family of golf clubs designed for special use situations. As a class, wedges have the highest lofts

    Wedge (golf)

    Wedge (golf)

    Wedge_(golf)

  • Brown's representability theorem
  • On representability of a contravariant functor on the category of connected CW complexes

    1962. Suppose that: The functor F: Hotcop → Set maps coproducts (i.e. wedge sums) in Hotc to products in Set: F ( ∨ α X α ) ≅ ∏ α F ( X α ) , {\displaystyle

    Brown's representability theorem

    Brown's_representability_theorem

  • Minor (linear algebra)
  • Determinant of a subsection of a square matrix

    J}(e_{1}\wedge \ldots \wedge e_{n})=\pm (\mathbf {A} ^{-1}e_{j_{1}})\wedge \ldots \wedge (\mathbf {A} ^{-1}e_{j_{k}})\wedge e_{i'_{1}}\wedge \ldots \wedge e_{i'_{n-k}}

    Minor (linear algebra)

    Minor_(linear_algebra)

  • Complex differential form
  • Differential form on a manifold which is permitted to have complex coefficients

    any complex k-form can be decomposed uniquely into a sum of so-called (p, q)-forms: roughly, wedges of p differentials of the holomorphic coordinates with

    Complex differential form

    Complex_differential_form

  • Double wedge
  • In geometry, a double wedge is the (closure of) the symmetric difference of two half-spaces whose boundaries are not parallel to each other. For instance

    Double wedge

    Double_wedge

  • Geometric algebra
  • Algebraic structure designed for geometry

    e_{r}&=e_{1}\wedge e_{2}\wedge \cdots \wedge e_{r}\\&=\left(\sum _{j}[\mathbf {O} ]_{1j}a_{j}\right)\wedge \left(\sum _{j}[\mathbf {O} ]_{2j}a_{j}\right)\wedge \cdots

    Geometric algebra

    Geometric_algebra

  • Group cohomology
  • Tools for studying groups based on techniques from algebraic topology

    *\mathbb {Z} )} for n {\displaystyle n} letters, this is represented by a wedge sum of n {\displaystyle n} circles S 1 ∨ ⋯ ∨ S 1 {\displaystyle S^{1}\vee

    Group cohomology

    Group_cohomology

  • Fredholm determinant
  • Complex-valued function

    ^{k}A\right)=\sum _{1\leq i_{1}<\cdots <i_{k}\leq n}(e_{i_{1}}\wedge e_{i_{2}}\wedge \cdots \wedge e_{i_{k}},Ae_{i_{1}}\wedge Ae_{i_{2}}\wedge \cdots \wedge Ae_{i_{k}})}

    Fredholm determinant

    Fredholm_determinant

  • Carry-save adder
  • Type of digital adder

    i ) . {\displaystyle sc_{i}=(a_{i}\wedge b_{i})\vee (a_{i}\wedge c_{i})\vee (b_{i}\wedge c_{i}).} The entire sum can then be computed by: Shifting the

    Carry-save adder

    Carry-save_adder

  • AND-OR-invert
  • Logic gate type

    F ∧ G ∧ H ) ¯ . {\displaystyle Q={\overline {(A\wedge B\wedge C\wedge D)\vee (E\wedge F\wedge G\wedge H)}}.} Its logic table would have 256 entries, but

    AND-OR-invert

    AND-OR-invert

  • Adams resolution
  • {\displaystyle E_{*}} -Adams resolution since we no longer need to take a wedge sum of spectra for every generator. The construction of the E ∗ {\displaystyle

    Adams resolution

    Adams_resolution

  • Compactly generated space
  • Property of topological spaces

    with the behavior of final topologies under composition of functions. A wedge sum of CG-1 spaces is CG-1. The same holds for CG-2. This is also an application

    Compactly generated space

    Compactly_generated_space

  • List of nonlinear partial differential equations
  • {S} }{\partial t}}=\mathbf {S} \wedge \sum _{i}{\frac {\partial ^{2}\mathbf {S} }{\partial x_{i}^{2}}}+\mathbf {S} \wedge J\mathbf {S} } Magnetic field

    List of nonlinear partial differential equations

    List_of_nonlinear_partial_differential_equations

  • Wallenius' noncentral hypergeometric distribution
  • }})={\frac {m_{j}^{\,\,{\underline {n}}}}{\left({\frac {1}{\omega _{j}}}\sum _{i=1}^{c}m_{i}\omega _{i}\right)^{\underline {n}}}}} for xj = n ≤ mj, where

    Wallenius' noncentral hypergeometric distribution

    Wallenius' noncentral hypergeometric distribution

    Wallenius'_noncentral_hypergeometric_distribution

  • Comparison of vector algebra and geometric algebra
  • geometric product is: a b = a ⋅ b + a ∧ b {\displaystyle ab=a\cdot b+a\wedge b} that is the sum of the usual dot (inner) product and the outer (exterior) product

    Comparison of vector algebra and geometric algebra

    Comparison_of_vector_algebra_and_geometric_algebra

  • Curve complex
  • C ( S ) {\displaystyle C(S)} is in fact homotopically equivalent to a wedge sum of spheres. The combinatorial distance on the 1-skeleton of C ( S ) {\displaystyle

    Curve complex

    Curve_complex

  • Symmetric product (topology)
  • as the following quotient over the infinite symmetric product of the wedge sum of X with a copy of itself: Let τ : X ∨ X → X ∨ X be interchanging the

    Symmetric product (topology)

    Symmetric_product_(topology)

  • Lie algebra–valued differential form
  • … , v σ ( p + q ) ) ] , {\displaystyle [\omega \wedge \eta ](v_{1},\dotsc ,v_{p+q})={1 \over p!q!}\sum _{\sigma }\operatorname {sgn} (\sigma )[\omega (v_{\sigma

    Lie algebra–valued differential form

    Lie_algebra–valued_differential_form

  • Dold–Thom theorem
  • On the homotopy groups of the infinite symmetric product of a connected CW complex

    being a CW complex cannot be dropped offhand: Let X = CH ∨ CH be the wedge sum of two copies of the cone over the Hawaiian earring. The common point

    Dold–Thom theorem

    Dold–Thom_theorem

  • Wedge strategy
  • Creationist political and social agenda

    The wedge strategy is a creationist political and social agenda authored by the Discovery Institute, the hub of the intelligent design movement. The strategy

    Wedge strategy

    Wedge strategy

    Wedge_strategy

  • Reed–Muller code
  • Error-correcting codes used in wireless communication

    {\displaystyle w\wedge z=(w_{1}\cdot z_{1},\ldots ,w_{N}\cdot z_{N}),} referred to as the wedge product (not to be confused with the wedge product defined

    Reed–Muller code

    Reed–Muller_code

  • Gram matrix
  • Matrix of inner products of vectors

    v_{1}\wedge \cdots \wedge v_{n}} in terms of its projections onto the basis volumes e i 1 ∧ ⋯ ∧ e i n {\displaystyle e_{i_{1}}\wedge \cdots \wedge e_{i_{n}}}

    Gram matrix

    Gram_matrix

  • Rational homotopy theory
  • Mathematical theory of topological spaces

    Formality is preserved under products and wedge sums. For manifolds, formality is preserved by connected sums. On the other hand, closed nilmanifolds are

    Rational homotopy theory

    Rational_homotopy_theory

  • Interior product
  • Mapping from p forms to p-1 forms

    _{X}(dx_{1}\wedge \cdots \wedge dx_{n})=\sum _{r=1}^{n}(-1)^{r-1}f_{r}dx_{1}\wedge \cdots \wedge {\widehat {dx_{r}}}\wedge \cdots \wedge dx_{n},} where

    Interior product

    Interior_product

  • Le Cam's theorem
  • Probability theorem

    \sum _{k=0}^{\infty }\left|\Pr(S_{n}=k)-{\lambda _{n}^{k}e^{-\lambda _{n}} \over k!}\right|<2\left(1\wedge {\frac {1}{\lambda }}_{n}\right)\left(\sum

    Le Cam's theorem

    Le_Cam's_theorem

  • Multilinear form
  • Map from multiple vectors to an underlying field of scalars, linear in each argument

    i k . {\displaystyle d\omega :=\sum _{i_{1}<\ldots <i_{k}}da_{i_{1}\ldots i_{k}}\wedge dx^{i_{1}}\wedge \cdots \wedge dx^{i_{k}}.} A property of d {\displaystyle

    Multilinear form

    Multilinear_form

  • Pfaffian
  • Square root of the determinant of a skew-symmetric square matrix

    \sum _{ijkl}B_{ik}B_{jl}A_{kl}e_{i}\wedge e_{j}=\sum _{kl}A_{kl}f_{k}\wedge f_{l}\\&\xrightarrow {\wedge n} {2^{n}n!}Pf(A)f_{1}\wedge \cdots \wedge f_{2n}={2^{n}n

    Pfaffian

    Pfaffian

    Pfaffian

  • Multivector
  • Element of an exterior algebra

    Alternating: u ∧ u = 0. {\displaystyle \mathbf {u} \wedge \mathbf {u} =0.} The exterior product of k vectors or a sum of such products (for a single k) is called

    Multivector

    Multivector

    Multivector

  • Binet–Cauchy identity
  • On products of sums of series products

    {\displaystyle \left(\sum _{i=1}^{n}a_{i}c_{i}\right)\left(\sum _{j=1}^{n}b_{j}d_{j}\right)=\left(\sum _{i=1}^{n}a_{i}d_{i}\right)\left(\sum _{j=1}^{n}b_{j}c_{j}\right)+\sum

    Binet–Cauchy identity

    Binet–Cauchy_identity

  • Cohomology ring
  • F 2 {\displaystyle \mathbb {F} _{2}} . The reduced cohomology ring of wedge sums is the direct product of their reduced cohomology rings. The cohomology

    Cohomology ring

    Cohomology_ring

  • Basel problem
  • Sum of inverse squares of natural numbers

    mathematical analysis with relevance to number theory, concerning an infinite sum of inverse squares. It was first posed by Pietro Mengoli in 1650 and solved

    Basel problem

    Basel problem

    Basel_problem

  • Alternating decision tree
  • Tree-based machine learning method for classification

    {\displaystyle z=2\left({\sqrt {W_{+}(p\wedge c)W_{-}(p\wedge c)}}+{\sqrt {W_{+}(p\wedge \neg c)W_{-}(p\wedge \neg c)}}\right)+W(\neg p)} 11 P + = p ∧

    Alternating decision tree

    Alternating_decision_tree

  • Darboux frame
  • Natural moving frame in differential geometry of surfaces

    \theta ^{a}=-\sum _{b=1}^{p}\theta _{b}^{a}\wedge \theta ^{b}\\\\0=\mathrm {d} \theta ^{\mu }=-\sum _{b=1}^{p}\theta _{b}^{\mu }\wedge \theta ^{b}\end{array}}\right\}\

    Darboux frame

    Darboux_frame

  • Hodge star operator
  • Exterior algebraic map taking tensors from p forms to n-p forms

    i_{k}}dx^{i_{1}}\wedge \dots \wedge dx^{i_{k}}\ =\ \sum _{i_{1}<\dots <i_{k}}\alpha _{i_{1},\dots ,i_{k}}dx^{i_{1}}\wedge \dots \wedge dx^{i_{k}}.} The

    Hodge star operator

    Hodge_star_operator

  • Hilton's theorem
  • On the loop space of a wedge of spheres

    theorem, proved by Peter Hilton (1955), states that the loop space of a wedge of spheres is homotopy-equivalent to a product of loop spaces of spheres

    Hilton's theorem

    Hilton's_theorem

  • Exterior calculus identities
  • + 1 ) , … , X σ ( k + l ) ) . {\displaystyle (\alpha \wedge \beta )(X_{1},\ldots ,X_{k+l})=\sum _{\sigma \in S(k,k+l)}{\text{sign}}(\sigma )\alpha (X_{\sigma

    Exterior calculus identities

    Exterior_calculus_identities

  • Lagrange's identity
  • On products on sums of squares

    {\begin{aligned}\left(\sum _{k=1}^{n}a_{k}^{2}\right)\left(\sum _{k=1}^{n}b_{k}^{2}\right)-\left(\sum _{k=1}^{n}a_{k}b_{k}\right)^{2}&=\sum _{i=1}^{n-1}\sum

    Lagrange's identity

    Lagrange's_identity

  • Kawasaki's theorem
  • Description of flat one-vertex origami

    of i ensures that the first wedge sticks out to the left of all the other folded pieces of paper, allowing the final wedge to connect back up to it. An

    Kawasaki's theorem

    Kawasaki's theorem

    Kawasaki's_theorem

  • Bayesian programming
  • Statistics concept

    {\text{Known}}\wedge \delta \wedge \pi \right)\\={}&\sum _{\text{Free}}\left[P\left({\text{Searched}}\wedge {\text{Free}}\mid {\text{Known}}\wedge \delta \wedge \pi

    Bayesian programming

    Bayesian programming

    Bayesian_programming

  • History of Sumer
  • The history of Sumer spans the late fifth to the third millennium BC in southern Mesopotamia, documenting the world's first transition from Neolithic

    History of Sumer

    History of Sumer

    History_of_Sumer

  • Variation of information
  • Measure of distance between two clusterings related to mutual information

    {\displaystyle H(X,Y)\,=\,H(X\wedge Y)} and we also have that d ( X , X ∧ Y ) = H ( X ∧ Y | X ) {\displaystyle d(X,X\wedge Y)\,=\,H(X\wedge Y|X)} coincides with

    Variation of information

    Variation of information

    Variation_of_information

  • Geometric calculus
  • Infinitesimal calculus on functions defined on a geometric algebra

    {\partial }{\partial X}}=\partial _{X}=\sum _{i<\dots <j}e^{i}\wedge \cdots \wedge e^{j}(e_{j}\wedge \cdots \wedge e_{i})*\partial _{X}\ .} This equation

    Geometric calculus

    Geometric_calculus

  • Curl (mathematics)
  • Circulation density in a vector field

    formal sum, again with function coefficients: a 12 d x ∧ d y + a 13 d x ∧ d z + a 23 d y ∧ d z ; {\displaystyle a_{12}\,dx\wedge dy+a_{13}\,dx\wedge dz+a_{23}\

    Curl (mathematics)

    Curl (mathematics)

    Curl_(mathematics)

  • Conjunctive normal form
  • Standard form of Boolean function

    (Z_{1}\vee \ldots \vee Z_{n})\wedge (\neg Z_{1}\vee X_{1})\wedge (\neg Z_{1}\vee Y_{1})\wedge \ldots \wedge (\neg Z_{n}\vee X_{n})\wedge (\neg Z_{n}\vee Y_{n})

    Conjunctive normal form

    Conjunctive_normal_form

  • Angular momentum
  • Conserved physical quantity; rotational analogue of linear momentum

    quantity; that is, the total angular momentum of any composite system is the sum of the angular momenta of its constituent parts. For a continuous rigid body

    Angular momentum

    Angular momentum

    Angular_momentum

  • Area of a triangle
  • -\mathbf {a} )\wedge (\mathbf {c} -\mathbf {a} ){\bigr \|}={\tfrac {1}{2}}{\bigl \|}\mathbf {a} \wedge \mathbf {b} +\mathbf {b} \wedge \mathbf {c} +\mathbf

    Area of a triangle

    Area_of_a_triangle

  • Symplectic vector space
  • Mathematical concept

    {n}{2}}=(-1)^{\frac {n(n-1)}{8}}x_{1}^{*}\wedge \dotsb \wedge x_{n}^{*}\wedge y_{1}^{*}\wedge \dotsb \wedge y_{n}^{*}.} By reordering, one can write ω

    Symplectic vector space

    Symplectic_vector_space

  • Connection form
  • Math/physics concept

    \Theta ^{i}(\mathbf {e} )=d\theta ^{i}(\mathbf {e} )+\sum _{j}\omega _{j}^{i}(\mathbf {e} )\wedge \theta ^{j}(\mathbf {e} ).} Much like the curvature,

    Connection form

    Connection_form

  • Poincaré disk model
  • Model of hyperbolic geometry

    (s-t)-(u\wedge v)\cdot (s\wedge t)\,,} Q = ( u − v ) ⋅ ( u − v ) − ( u ∧ v ) ⋅ ( u ∧ v ) , {\displaystyle Q=(u-v)\cdot (u-v)-(u\wedge v)\cdot (u\wedge v)\

    Poincaré disk model

    Poincaré disk model

    Poincaré_disk_model

  • Dolbeault cohomology
  • Mathematical term

    {z}}_{j}\wedge d{\bar {z}}_{J\setminus \lbrace j\rbrace }\\&=d{\bar {z}}_{k+1}\wedge \psi +\mu -d{\bar {z}}_{k+1}\wedge \psi +\sum _{j=1}^{k}\sum _{J}{\frac

    Dolbeault cohomology

    Dolbeault_cohomology

  • Hodge theory
  • Mathematical manifold theory

    ⋯ ∧ d w q ¯ {\displaystyle f\,dz_{1}\wedge \cdots \wedge dz_{p}\wedge d{\overline {w_{1}}}\wedge \cdots \wedge d{\overline {w_{q}}}} with f a C∞ function

    Hodge theory

    Hodge_theory

  • Maurer–Cartan form
  • Mathematical concept

    {\displaystyle d\omega =\sum _{i}E_{i}(e)\otimes d\theta ^{i}\,=\,-{\frac {1}{2}}\sum _{ijk}{c_{jk}}^{i}E_{i}(e)\otimes \theta ^{j}\wedge \theta ^{k}.} The frame

    Maurer–Cartan form

    Maurer–Cartan_form

  • Poincaré lemma
  • Mathematical condition

    {\displaystyle \pi _{*}\left(\sum _{i_{1}<\cdots <i_{k-1}}f_{i}dt\wedge dx^{i}+\sum _{j_{1}<\cdots <j_{k}}g_{j}dx^{j}\right)=\sum _{i_{1}<\cdots <i_{k-1}}\left(\int

    Poincaré lemma

    Poincaré_lemma

  • Ahlswede–Daykin inequality
  • Correlation-type inequality for four functions on a finite distributive lattice

    f_{3}(X\vee Y)f_{4}(X\wedge Y)} for all subsets X, Y of the lattice, where f ( X ) = ∑ x ∈ X f ( x ) {\displaystyle f(X)=\sum _{x\in X}f(x)} and X ∨

    Ahlswede–Daykin inequality

    Ahlswede–Daykin_inequality

  • Idempotence
  • Property of operations

    (\{0,1\},\wedge )} of the Boolean domain with logical disjunction ∨ {\displaystyle \vee } and logical conjunction ∧ {\displaystyle \wedge } respectively

    Idempotence

    Idempotence

    Idempotence

  • Trivial Pursuit
  • Board game

    spaces earns a plastic wedge which is slotted into the answerer's playing piece. The object of the game is to collect all six wedges from each "category

    Trivial Pursuit

    Trivial Pursuit

    Trivial_Pursuit

AI & ChatGPT searchs for online references containing WEDGE SUM

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  • Scelftun
  • Boy/Male

    British, English

    Scelftun

    From the Ledge Farm

    Scelftun

  • Shelley
  • Girl/Female

    Anglo Saxon English American

    Shelley

    From the ledge meadow.

    Shelley

  • Shelny
  • Boy/Male

    Anglo Saxon

    Shelny

    From the ledge farm.

    Shelny

  • Shelly
  • Boy/Male

    American, Australian, British, English

    Shelly

    Meadow on a Ledge; From the Ledge Meadow

    Shelly

  • Shelly
  • Boy/Male

    English American

    Shelly

    Meadow on a ledge.

    Shelly

  • Hedge
  • Surname or Lastname

    English

    Hedge

    English : topographic name for someone who lived by a hedge, Middle English hegg(e).

    Hedge

  • Husam
  • Boy/Male

    Muslim

    Husam

    Sword. Sword edge.

    Husam

  • Egil
  • Boy/Male

    Danish, French, German, Norse, Norwegian, Scandinavian, Swedish

    Egil

    Edge of the Sword; Inspires Fright; Edge; Point

    Egil

  • Shelbee
  • Boy/Male

    British, English

    Shelbee

    Estate on the Ledge

    Shelbee

  • Falaq
  • Boy/Male

    Indian

    Falaq

    Top Edge

    Falaq

  • Sedge
  • Boy/Male

    American, British, Chinese, English

    Sedge

    Swordsman

    Sedge

  • Wedge
  • Surname or Lastname

    English

    Wedge

    English : from the Old English personal name Wegga.

    Wedge

  • Morgan
  • Girl/Female

    Christian & English(British/American/Australian)

    Morgan

    Sea's Edge

    Morgan

  • Shelly
  • Girl/Female

    Anglo Saxon English American

    Shelly

    From the ledge meadow.

    Shelly

  • Husam
  • Boy/Male

    Arabic, French, Indian, Muslim, Sindhi

    Husam

    Sword Edge

    Husam

  • Hedges
  • Surname or Lastname

    English

    Hedges

    English : variant of Hedge.

    Hedges

  • Koti
  • Boy/Male

    Indian, Sanskrit, Telugu

    Koti

    Extreme Corner; Edge

    Koti

  • Edge
  • Surname or Lastname

    English

    Edge

    English : topographic name, especially in Lancashire and the West Midlands, for someone who lived on or by a hillside or ridge, from Old English ecg ‘edge’. Compare Eck.

    Edge

  • Edzard
  • Boy/Male

    Scandinavian

    Edzard

    Strong edge.

    Edzard

  • Egerton
  • Boy/Male

    Christian & English(British/American/Australian)

    Egerton

    The Edge

    Egerton

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