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10 P for Q and Z in S?

Updated: 12/21/2022
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10 points for Q and Z in Scrabble.

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Which letters in the alphabet have no lines of symmetry?

a b d e f F g G j J k L m n N p P q Q r R s S t u y z Z


What is meant by curl of a vector in maths?

In mathematics, the curl of a vector is the maximum rotation on a vector field, oriented perpendicularly to the certain plane. The curl of a vector is defined by this form: ∇ x F = [i . . . . j . . . . . k] [∂/∂x ∂/∂y ∂/∂z] [P. . . Q. . . .R. . ] ...given that F = <P,Q,R> or Pi + Qj + Rk Perform the cross-product of the terms to obtain: ∇ x F = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k


What are the basic theorems of Boolean algebra?

The Boolean prime ideal theorem:Let B be a Boolean algebra, let I be an ideal and let F be a filter of B, such that and IF are disjoint. Then I is contained in some prime ideal of B that is disjoint from F. The consensus theorem:(X and Y) or ((not X) and Z) or (Y and Z) ≡ (X and Y) or ((not X) and Z) xy + x'z + yz ≡ xy + x'zDe Morgan's laws:NOT (P OR Q) ≡ (NOT P) AND (NOT Q)NOT (P AND Q) ≡ (NOT P) OR (NOT Q)AKA:(P+Q)'≡P'Q'(PQ)'≡P'+Q'AKA:¬(P U Q)≡¬P ∩ ¬Q¬(P ∩ Q)≡¬P U ¬QDuality Principle:If a given statement is valid for all partially ordered sets, then its dual statement, obtained by inverting the direction of all order relations and by dualizing all order theoretic definitions involved, is also valid for all partially ordered sets. The laws of classical logicPeirce's law:((P→Q)→P)→PP must be true if there is a proposition Q such that the truth of P follows from the truth of "if Pthen Q". In particular, when Q is taken to be a false formula, the law says that if P must be true whenever it implies the false, then P is true.Stone's representation theorem for Boolean algebras:Every Boolean algebra is isomorphic to a field of sets.Source is linked


What is meant by a subgroup generated by an element x belongs to group G?

It is a subset of the Group G which has all the properties of a Group, namely that it is a set of elements (numbers) with a binary operation (addition) that combines any two elements in the set to form a third element which is also in the set. The Group satisfies four axioms: closure, associativity, identity and invertibility. The set of integers, Z, is a Group, with addition as the binary operation. [It is also a Ring, but that is not important here]. The set of all multiples of 7 is a subgroup of Z. Denote the subgroup by Z7. It is a Group because: Closure: If x and y are in Z7, then x = 7*p for some p in Z and y = 7*q for some q in Z. Then x + y = 7*p + 7*q = 7*(p+q) where p+q is in Z because Z is a Group. Therefore 7*(p+q) is in Z7. Associativity: If x (= 7p), y (= 7q) and z (= 7r) are in 7Z, then (x + y) + z = (7p + 7q) + 7r since these are in Z an Z is associative, = 7p + (7q + 7r) = x + (y + z). Identity: The additive identity is 0, since 0 + x = 0 + 7p = 7p since 0 is the additive identity in Z. Invertibility: If x = 7a is in Z7 then 7*(-a) is also in 7Z. If 7*(-a) is denoted by -x, then x + (-x) = 7a + 7*(-a) = 0 and so -x is the additive inverse of x. But there are elements of Z, for example, 2 which are not in Z7 so Z7 it is a proper subset of Z.


10 equals V of Z in S?

Sneaky! 10 = Value of Z in Scrabble