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If you are working with real numbers, or even complex numbers, pq is the same as qp, so the result is the same as 2pq. If you use some multiplication that is NOT commutative (such as, when you multiply matrices), you can't simplify the expression.

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It is Pq + qp. There is no justification to assume that the operation in the group is Abelian.

Q: Pq plus qp

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5n + 16 ======

"The present list of 19 rules of inference constitutes a COMPLETE system of truth-functional logic, in the sense that it permits the construction of a formal proof of validity for ANY valid truth-functional argument." (FN1)The first nine rules of the list are rules of inference that "correspond to elementary argument forms whose validity is easily established by truth tables." (Id, page 351). The remaining ten rules are the Rules of Replacement, "which permits us to infer from any statement the result of replacing any component of that statement by any other statement logically equivalent to the component replaced." (Id, page 359).Here are the 19 Rules of Inference:1. Modus Ponens (M.P.)p qpq 2.Modus Tollens (M.T.)p q~q~p 3.Hypothetical Syllogism (H.S.)p qq rp r 4.Disjunctive Syllogism (D.S.)p v q~ pq 5. Constructive Dilemma (C.D.)(p q) . (r s)p v rq v s 6. Absorption (Abs.)p qp (p. q)7. Simplification (Simp.)p . qp 8. Conjunction (Conj.)pqp . q 9. Addition (Add.)pp v qAny of the following logically equivalent expressions can replace each other wherever they occur:10.De Morgan's Theorem (De M.) ~(p . q) (~p v ~q)~(p v q) (~p . ~q) 11. Commutation (Com.)(p v q) (q v p)(p . q) (q . p) 12. Association (Assoc.)[p v (q v r)] [(p v q) v r][p . (q . r)] [(p . q) . r] 13.Distribution (Dist) [p . (q v r)] [(p . q) v (p . r)][p v (q . r)] [(p v q) . (p v r)] 14.Double Negation (D.N.)p ~ ~p 15. Transposition (Trans.)(p q) (~q ~p) 16. Material Implication (M. Imp.)(p q) (~p v q) 17. Material Equivalence (M. Equiv.)(p q) [(p q) . (q p)](p q) [(p . q) v (~p . ~q)] 18. Exportation (Exp.)[(p . q) r] [p (q r)] 19. Tautology (Taut.) p (p v p)p (p . p)FN1: Introduction to Logic, Irving M. Copi and Carl Cohen, Prentice Hall, Eleventh Edition, 2001, page 361. The book contains the following footnote after this paragraph: "A method of proving this kind of completeness for a set of rules of inference can be found in I. M. Copi, Symbolic Logic, 5th Edition. (New York: Macmillian, 1979), chap 8, See also John A. Winnie, "The Completeness of Copi's System of Natural Deduction," Notre Dame Journal of Formal Logic 11 (July 1970), 379-382."

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I have this same question on a test and I couldn't find the answer anywhere!

multiply the total production and the the price of the total production mathematically Pq=QP

25% QP

WO-QP-WO-QP again and again.

Square D type HOM is interchangeable with Siemens type QP

Quarter pound.

Y = 5x2 + 7x - 3use the pq-formula: x2 + px + qp = 7q = -3x = -p/2 +- sqrt( (p/2)2 - q)x = -7/2 +- sqrt ( (7/2)2 -(-3))x = -3,5 +- sqrt ((49/4) + 3)x = -3,5 +- sqrt (12,25 + 3)x1 = -3,5 + sqrt(15,25)x2 = -3,5 - sqrt (15,25)

Instead of looking for easier ways, its always better if you study well. that's your qp for hsc 2010.

380-400

There are 4 oz in a quarter pound and there are 28 grams in each ounce, so 112 grams is a quarter pound. QP of merch would be about $350 QP of reg would be about $600 QP of Dank or Dro about $800-1200 QP of Kush would be like $800-1400 QP of any exotic sh*t is over $1500

Quarter pound of marijuana

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