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...eration]]s to the [[projection (mathematics)|projection]] of the Cartesian product onto the set in question, but the tacit extension is the one that places no * [[Cartesian product]]

...e|domain]]s'' of the relation. The second component is just the cartesian product itself.

* [[Cartesian product]] * [[Cartesian product]]

...ety of industrial robots including 6 axis articulated arms, scara robots , cartesian coordinate robots (a.k.a. gantry robots), & parallel robots (a.k.a. delta o ...surface conditions. Regardless of whether the robot directly manipulates product into packaging or visa versa it is categorized as a part to tool based robo

| the scalar product of the <math>i</math>^th row of <math>G\!</math> with the <math>j | the scalar product of the <math>i</math>^th row of <math>G\!</math> with the <math>j

* [[Cartesian product of graphs]] * [[Tensor product of graphs]]

...er the sets <math>X_1, \ldots, X_k\!</math> is a subset of their cartesian product, written <math>L \subseteq X_1 \times \ldots \times X_k.\!</math>&nbsp; Und ...pecify, namely, the <math>k\!</math> sets plus a subset of their cartesian product.&nbsp; In the idiom, this is expressed by saying that <math>L\!</math> is a

| the scalar product of the <math>i</math>^th row of <math>G\!</math> with the <math>j | the scalar product of the <math>i</math>^th row of <math>G\!</math> with the <math>j

...ath> and <math>L_1,</math> each of which is a subset of the same cartesian product <math>X \times Y \times Z.</math>&nbsp; The structures of <math>L_0</math> ...0, 1 \}</math> so <math>L_0</math> and <math>L_1</math> are subsets of the cartesian power <math>\mathbb{B} \times \mathbb{B} \times \mathbb{B}</math> or the <i

...ducts occur, either the composition is marked on each occasion or else the product is marked by means of a ''center dot'' &ldquo;<math>\cdot</math>&rdquo;, as ...eir relationship to the projection operations that come with any cartesian product, but also suggesting natural directions for generalizing relational composi

...'extension'' of the relation <math>L\!</math> is a subset of the cartesian product <math>X = X_1 \times \ldots \times X_k.\!</math> ...ath>\{ X_j : j \in F \},\!</math> and there is the corresponding cartesian product over this subfamily, notated and defined as <math>\textstyle X_F = \prod_{j

...math> the set <math>Y,\!</math> and a particular subset of their cartesian product <math>{X \times Y}.\!</math> So far so good. ...math> the set <math>Y,\!</math> and a particular subset of their cartesian product <math>{X \times Y}.\!</math> As before we have two choices, either let <ma

...d <math>x:y:z\!</math> are used as alternative notations for the cartesian product <math>X \times Y \times Z\!</math> and the tuple <math>(x, y, z),\!</math> ...nsidering particular ways of situating <math>{L, M, N}\!</math> within the product space <math>X:Y:Z.\!</math>

...ates; in particular operation ^''n''''f''_''j'' of the product operates on ''n'' ''I''-tuples by applying operation ^''n''''f''< ...tiplied together in this way are the same algebra ''A'' we call the direct product a ''direct power'' of ''A''. The Boolean algebra of all 32-bit bit vectors

...nsion'', a sign relation <math>L\!</math> is a ''subset'' of a ''cartesian product'' <math>O \times S \times I.\!</math> Here, <math>O, S, I\!</math> are thr ...ned as the set of all ordered pairs <math>(o, s)\!</math> in the cartesian product <math>O \times S\!</math> for which there exists an ordered triple <math>(o

...languages, as a ''sum'', by treating the concatenation of languages as a ''product'', and then by distinguishing the styles of analysis that favor ''sums of p ...ngs, the concatenation of the non-terminal symbols signifies the cartesian product over the corresponding sets of strings.

A ''sign relation'' <math>L\!</math> is a subset of a cartesian product <math>O \times S \times I,\!</math> where <math>O, S, I\!</math> are sets k ...d <math>x:y:z\!</math> are used as alternative notations for the cartesian product <math>X \times Y \times Z\!</math> and the tuple <math>(x, y, z),\!</math>

| Consider the cartesian product X x Y of two sets, | <x, y> ~> x, <x, y> ~> y of the product on its

We can represent this problem setup as the problem of computing the following product: ...I flippered away playing the oldtime pinball machines, I tend to imagine a product like this being displayed in a vertical array:

a definite text. The end product that results from the formalization is a subset of a cartesian product O x S x I. Here, O, S, I are three

sign relation as a subset of a cartesian product, L c O x S x I. is what you have in mind in saying "rain" is the product of an abductive

Given a SOD <math>(X_i),\!</math> its cartesian product, notated as <math>\textstyle\prod_i (X_i)</math> or <math>\textstyle\prod_i A '''relation''' is defined on a SOD as a subset of its cartesian product. In symbols, <math>L\!</math> is a relation on <math>(X_i),\!</math> if an

..."likes", namely those in <math>\mathcal{A}_J,</math> and then takes their product in <math>\mathbb{B}.</math> Thus, <math>p_J(\mathbf{x})</math> assesses th ...ath>\mathrm{d}A</math> at a point of <math>A\!</math> can be analyzed as a product of distinct and independent factors:

* <p>Working in the ''conjunctive product'' form of representation, if the conjunctive proposition <math>x\!</math> i ...'A'', we can analyze the individual tangent space at a point of ''A'' as a product of distinct and independent factors:

...t face="lucida calligraphy">A</font>_''J'', and then takes their product in ''B''. Thus, ''p''_''J''(''x'') assesses the unanimity of the ...'A'', we can analyze the individual tangent space at a point of ''A'' as a product of distinct and independent factors:

A ''sign relation'' <math>L~\!</math> is a subset of a cartesian product <math>O \times S \times I,</math> where <math>{O, S, I}~\!</math> are sets

..."likes", namely those in <math>\mathcal{A}_J,</math> and then takes their product in <math>\mathbb{B}.</math> Thus, <math>p_J(\mathbf{x})</math> assesses th ...<math>\mathrm{d}A</math> at a point of <math>A</math> can be analyzed as a product of distinct and independent factors:

..."likes", namely those in <math>\mathcal{A}_J,</math> and then takes their product in <math>\mathbb{B}.</math> Thus, <math>p_J(\mathbf{x})</math> assesses th ...ath>\mathrm{d}A</math> at a point of <math>A\!</math> can be analyzed as a product of distinct and independent factors:

...construes the situational context in the form of a definite text. The end product that results from the formalization process is analogous to a snapshot or a ...nsion'', a sign relation <math>L\!</math> is a ''subset'' of a ''cartesian product'' <math>O \times S \times I.\!</math> Here, <math>O, S, I\!</math> are thr

2. Working in the "conjunctive product" form of representation, "likes", namely those in A_J, and then takes their product in B. Thus,