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Что (кто) такое product types - определение
GENERALIZED OBJECT IN CATEGORY THEORY
Categorical product; Product category theory; Category product
Найдено результатов: 2635
Product type
Pair type; Tuple type; Pair (computer science); Product (computer science); Tuple (computer science); Product (compute science)
In programming languages and type theory, a product of types is another, compounded, type in a structure. The "operands" of the product are types, and the structure of a product type is determined by the fixed order of the operands in the product.
Product (category theory)
In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family of objects is the "most general" object which admits a morphism to each of the given objects.
Product (chemistry)
SUBSTANCE (SPECIES) FORMED FROM A CHEMICAL REACTION
Product (biology); Chemical products; Product (biochemistry)
Products are the species formed from chemical reactions. During a chemical reaction reactants are transformed into products after passing through a high energy transition state.
Product topology
TOPOLOGY ON CARTESIAN PRODUCTS OF TOPOLOGICAL SPACES
Product space; Product (topology); Topological product; Product space (topology); Tychonoff topology; Tychonov topology; Tikhonov product
In topology and related areas of mathematics, a product space is the Cartesian product of a family of topological spaces equipped with a natural topology called the product topology. This topology differs from another, perhaps more natural-seeming, topology called the box topology, which can also be given to a product space and which agrees with the product topology when the product is over only finitely many spaces.
dot product
![<!-- specify width as minus sign vanishes at most sizes --> Calculating bond angles of a symmetrical [[tetrahedral molecular geometry]] using a dot product](https://commons.wikimedia.org/wiki/Special:FilePath/Tetrahedral angle calculation.svg?width=200 "<!-- specify width as minus sign vanishes at most sizes --> Calculating bond angles of a symmetrical [[tetrahedral molecular geometry]] using a dot product")
ALGEBRAIC OPERATION THAT TAKES TWO EQUAL-LENGTH SEQUENCES OF NUMBERS
Scalar product; Dot Product; Standard inner product; Scaler product; Dotproduct; Dot products; Dot-product; Vector dot product; Projection Product; Complex dot product; Generalizations of the dot product; Norm squared; Point product; Norm-squared
¦ noun another term for scalar product.
vector product
![[[Standard basis]] vectors ('''i''', '''j''', '''k''', also denoted '''e'''<sub>1</sub>, '''e'''<sub>2</sub>, '''e'''<sub>3</sub>) and [[vector component]]s of '''a''' ('''a'''<sub>x</sub>, '''a'''<sub>y</sub>, '''a'''<sub>z</sub>, also denoted '''a'''<sub>1</sub>, '''a'''<sub>2</sub>, '''a'''<sub>3</sub>)](https://commons.wikimedia.org/wiki/Special:FilePath/3D Vector.svg?width=200 "[[Standard basis]] vectors ('''i''', '''j''', '''k''', also denoted '''e'''<sub>1</sub>, '''e'''<sub>2</sub>, '''e'''<sub>3</sub>) and [[vector component]]s of '''a''' ('''a'''<sub>x</sub>, '''a'''<sub>y</sub>, '''a'''<sub>z</sub>, also denoted '''a'''<sub>1</sub>, '''a'''<sub>2</sub>, '''a'''<sub>3</sub>)")
![Cross product [[scalar multiplication]]. '''Left:''' Decomposition of '''b''' into components parallel and perpendicular to '''a'''. Right: Scaling of the perpendicular components by a positive real number ''r'' (if negative, '''b''' and the cross product are reversed).](https://commons.wikimedia.org/wiki/Special:FilePath/Cross product scalar multiplication.svg?width=200 "Cross product [[scalar multiplication]]. '''Left:''' Decomposition of '''b''' into components parallel and perpendicular to '''a'''. Right: Scaling of the perpendicular components by a positive real number ''r'' (if negative, '''b''' and the cross product are reversed).")
![rejection]]. The triple product is in the plane and is rotated as shown.](https://commons.wikimedia.org/wiki/Special:FilePath/Cross product triple.svg?width=200 "rejection]]. The triple product is in the plane and is rotated as shown.")
![The cross product in relation to the exterior product. In red are the orthogonal [[unit vector]], and the "parallel" unit bivector.](https://commons.wikimedia.org/wiki/Special:FilePath/Exterior calc cross product.svg?width=200 "The cross product in relation to the exterior product. In red are the orthogonal [[unit vector]], and the \"parallel\" unit bivector.")
![Finding the direction of the cross product by the [[right-hand rule]]](https://commons.wikimedia.org/wiki/Special:FilePath/Right hand rule cross product.svg?width=200 "Finding the direction of the cross product by the [[right-hand rule]]")
![According to [[Sarrus's rule]], the [[determinant]] of a 3×3 matrix involves multiplications between matrix elements identified by crossed diagonals](https://commons.wikimedia.org/wiki/Special:FilePath/Sarrus rule.svg?width=200 "According to [[Sarrus's rule]], the [[determinant]] of a 3×3 matrix involves multiplications between matrix elements identified by crossed diagonals")
MATHEMATICAL OPERATION ON TWO VECTORS
Vector product; Vector cross product; Evaluating cross products; Cross Product; Evaluating cross-products; Cross products; Sarrus's scheme; Cross-product; Crossproduct; Vector Product; ⨯; Vectorial product; Cross product matrix; Three-dimensional cross product; Ccw test; Xyzzy (mnemonic); Generalizations of the cross product
¦ noun Mathematics the product of two vectors which is itself a vector at right angles to both the original vectors and equal to the product of their magnitudes and the sine of the angle between them (written as a . b).
Dot product
ALGEBRAIC OPERATION THAT TAKES TWO EQUAL-LENGTH SEQUENCES OF NUMBERS
Scalar product; Dot Product; Standard inner product; Scaler product; Dotproduct; Dot products; Dot-product; Vector dot product; Projection Product; Complex dot product; Generalizations of the dot product; Norm squared; Point product; Norm-squared
In mathematics, the dot product or scalar productThe term scalar product means literally "product with a scalar as a result". It is also used sometimes for other symmetric bilinear forms, for example in a pseudo-Euclidean space.
scalar product
ALGEBRAIC OPERATION THAT TAKES TWO EQUAL-LENGTH SEQUENCES OF NUMBERS
Scalar product; Dot Product; Standard inner product; Scaler product; Dotproduct; Dot products; Dot-product; Vector dot product; Projection Product; Complex dot product; Generalizations of the dot product; Norm squared; Point product; Norm-squared
¦ noun Mathematics a quantity (written as a.b or ab) equal to the product of the magnitudes of two vectors and the cosine of the angle between them.
Product integral
Product Integrals; Product Integral; Product calculus; Noncommutative calculus; Non-commutative calculus; Multiplicative derivative; Product derivative; Continuous product; Multiplical
A product integral is any product-based counterpart of the usual sum-based integral of calculus. The first product integral (Type I below) was developed by the mathematician Vito Volterra in 1887 to solve systems of linear differential equations.
Empty product
RESULT OF MULTIPLYING NO FACTORS
Nullary product; Vacuous product; Product of no numbers; Null product; Prod(); 0!
In mathematics, an empty product, or nullary product or vacuous product, is the result of multiplying no factors. It is by convention equal to the multiplicative identity (assuming there is an identity for the multiplication operation in question), just as the empty sum—the result of adding no numbers—is by convention zero, or the additive identity.
Википедия
Product (category theory)
In category theory, the product of two (or more) objects in a category is a notion designed to capture the essence behind constructions in other areas of mathematics such as the Cartesian product of sets, the direct product of groups or rings, and the product of topological spaces. Essentially, the product of a family of objects is the "most general" object which admits a morphism to each of the given objects.
