internationalreserves
Essence of commutative law on multiplication
Essence of commutative law on multiplication
(01).
[^^^] = [ (Fortune, $2) , Add 3 times ]
= [ (Fortune, $2) + (Fortune, $2) + (Fortune, $2) ]
= [ (Fortune, $2), Multiply 3 times ]
= [ (Fortune, $2) X 3(times) ]
= [ (Fortune, $2) X 3 ]
= [ 3 X (Fortune, $2) ]
= [ 3(times) X (Fortune, $2) ] <- Does this make sense?
(02).
[^^^] = [ (Debt, $2), Add 3 times ]
= [ (Debt, $2) + (Debt, $2) + (Debt, $2) ]
= [ (Debt, $2), Multiply 3 times ]
= [ (Debt, $2) X 3(times) ]
= [ (Debt, $2) X 3 ]
= [ 3 X (Debt, $2) ]
= [ 3(times) X (Debt, $2) ] <- Does this make sense?
(03).
[^^^] = [ (+2), Add 3 times ]
= [ (+2) + (+2) + (+2) ]
= [ (+2), Multiply 3 times ]
= [ (+2) X 3(times) ]
= [ (+2) X 3 ]
= [ 3 X (+2) ]
= [ 3(times) X (+2) ] <- Does this make sense?
(04).
[^^^] = [ (-2), Add 3 times ]
= [ (-2) + (-2) + (-2) ]
= [ (-2), Multiply 3 times ]
= [ (-2) X 3(times) ]
= [ (-2) X 3 ]
= [ 3 X (-2) ]
= [ 3(times) X (-2) ] <- Does this make sense?
(05).
[^^^] = [ (Fortune, $3) , Add 2 times ]
= [ (Fortune, $3) + (Fortune, $3) ]
= [ (Fortune, $3), Multiply 2 times ]
= [ (Fortune, $3) X 2(times) ]
= [ (Fortune, $3) X 2 ]
= [ 2 X (Fortune, $3) ]
= [ 2(times) X (Fortune, $3) ] <- Does this make sense?
(06).
[^^^] = [ (Debt, $3), Add 2 times ]
= [ (Debt, $3) + (Debt, $3) ]
= [ (Debt, $3), Multiply 2 times ]
= [ (Debt, $3) X 2(times) ]
= [ (Debt, $3) X 2 ]
= [ 2 X (Debt, $3) ]
= [ 2(times) X (Debt, $3) ] <- Does this make sense?
(07).
[^^^] = [ (+3), Add 2 times ]
= [ (+3) + (+3) ]
= [ (+3), Multiply 2 times ]
= [ (+3) X 2(times) ]
= [ (+3) X 2 ]
= [ 2 X (+3) ]
= [ 2(times) X (+3) ] <- Does this make sense?
(08).
[^^^] = [ (-3), Add 2 times ]
= [ (-3) + (-3) ]
= [ (-3), Multiply 2 times ]
= [ (-3) X 2(times) ]
= [ (-3) X 2 ]
= [ 2 X (-3) ]
= [ 2(times) X (-3) ] <- Does this make sense?
(09).
[^^^] = [ Add (Fortune $6) ] = [ (Fortune $6) ]
= [ + (+6) ] = [ (+6) ]
= [ (+6) ] = [ (+6) ]
= [ (6) ] = [ (6) ]
= [ 6 ] = [ 6 ]
* (Add) is not (addition sign) but (Adding up).
* (Adding up) is free from Life and Dead.
= [ (Fortune, $2), Add the thing to multiply 3 times ] = [ + { (+2) X 3 } ]
= [ (Fortune, $2), Multiply 3 times ]
= [ (Fortune, $2) X 3(times) ]
= [ (Fortune, $2) X 3 ] = [ (+2) X 3 ]
= [ (Fortune, $6) ] = [ (+6) ]
= [ (Fortune, $3), Add the thing to multiply 2 times ] = [ + { (+3) X 2 } ]
= [ (Fortune, $3), Multiply 2 times ]
= [ (Fortune, $3) X 2(times) ]
= [ (Fortune, $3) X 2 ] = [ (+3) X 2 ]
= [ (Fortune, $6) ] = [ (+6) ]
= [ (Fortune, $6) ] = [ (Fortune, $2) X 3(times) ] = [ (Fortune, $3) X 2(times) ]
= [ (+6) ] = [ (+2) X 3(times) ] = [ (+3) X 2(times) ]
= [ + { (+6) } ] = [ + { (+2) X 3(times) } ] = [ + { (+3) X 2(times) } ]
= [ + { (+6) } ] = [ + { (+2) X 3 } ] = [ + { (+3) X 2 } ]
= [ + { (+6) } ] = [ + { (+2) X (3) } ] = [ + { (+3) X (2) } ]
= [ + { (+6) } ] = [ { (+2) X (+3) } ] = [ { (+3) X (+2) } ]
= [ + (+6) ] = [ (+2) X (+3) ] = [ (+3) X (+2) ]
= [ (+6) ] = [ (+2) X (+3) ] = [ (+3) X (+2) ]
<- Does (essence of commutative law) catches your eyes?
[^^^] = [ Law of Liuhui Brahmagupta ]
= [ (+2) X (+3) ] = [ (+3) X (+2) ]
= [ + { (+2) X (3) } ] = [ + { (+3) X (2) } ]
= [ + { (+2) X 3 } ] = [ + { (+3) X 2 } ]
= [ + { (+6) } ] = [ + { (+6) } ]
= [ { (+6) } ] = [ { (+6) } ]
= [ (+6) ] = [ (+6) ]
= [ (6) ] = [ (6) ]
= [ 6 ] = [ 6 ]
(10).
[^^^] = [ Add (Debt, $6) ] = [ Subtract (Fortune, $6) ] = [ (Debt, $6) ]
= [ + (-6) ] = [ - (+6) ]
= [ + (-6) ] = [ + (-6) ]
= [ (-6) ] = [ (-6) ]
= [ Add (Debt, $6) ] = [ + (-6) ]
= [ (Debt, $2) , Add the thing to multiply 3 times ] = [ + { (-2) X 3 } ]
= [ (Debt, $2) , Multiply 3 times ]
= [ (Debt, $2) X 3(times) ]
= [ (Debt, $2) X 3 ] = [ (-2) X 3 ]
= [ (Debt, $6) ] = [ (-6) ]
= [ Subtract (Fortune, $6) ] = [ - (+6) ]
= [ (Fortune, $3) , Subtract the thing to mutiply 2 times ] = [ - { (+3) X 2 } ]
= [ - { (Fortune, $3) X 2(times) } ]
= [ - { (Fortune, $3) X 2 } ] = [ - { (+3) X 2 } ]
= [ - { (Fortune, $6) } ] = [ - { (+6) } ]
= [ - (Fortune, $6) ] = [ - (+6) ]
= [ Add (Debt, $6) ] = [ Subtract (Fortune, $6) ]
= [ + (-6) ] = [ - (+6) ]
= [ + { (Debt, $2) X 3(times) } ] = [ - { (Fortune, $3) X 2(times) } ]
= [ + { (-2) X 3 } ] = [ - { (+3) X 2 } ]
= [ + { (-2) X (3) } ] = [ - { (+3) X (2) } ]
= [ { (-2) X (+3) } ] = [ { (+3) X (-2) } ]
= [ (-2) X (+3) ] = [ (+3) X (-2) ]
<- Does (essence of commutative law) catches your eyes?
[^^^] = [ Law of Liuhui Brahmagupta ]
= [ (-2) X (+3) ] = [ (+3) X (-2) ]
= [ + { (-2) X (3) } ] = [ - { (+3) X (2) } ]
= [ + { (-2) X 3 } ] = [ - { (+3) X 2 } ]
= [ + { (-6) } ] = [ - { (+6) } ]
= [ + (-6) ] = [ - (+6) ]
= [ + (-6) ] = [ + (-6) ]
= [ (-6) ] = [ (-6) ]
(11).
[^^^] = [ Subtract (Debt, $6) ] = [ Add (Fortune, $6) ] = [ (Fortune, $6) ]
= [ - (-6) ] = [ + (+6) ]
= [ + (+6) ] = [ + (+6) ]
= [ (+6) ] = [ (+6) ]
= [ (6) ] = [ (6) ]
= [ 6 ] = [ 6 ]
= [ (Debt, $2), Subtract the thing to multiply 3 times ] = [ - { (-2) X 3 } ]
= [ - { (Debt, $2) X 3(times) } ]
= [ - { (Debt, $2) X 3 } ] = [ - { (-2) X 3 } ]
= [ - { (Debt, $6) } ] = [ - { (-6) } ]
= [ - (Debt, $6) ] = [ - (-6) ]
= [ (Debt, $3), Subtract the thing to multiply 2 times ] = [ - { (-3) X 2 } ]
= [ - { (Debt, $3) X 2(times) } ]
= [ - { (Debt, $3) X 2 } ] = [ - { (-3) X 2 } ]
= [ - { (Debt, $6) } ] = [ - { (-6) } ]
= [ - (Debt, $6) ] = [ - (-6) ]
= [ - { (Debt, $2) X 3(times) } ] = [ - { (Debt, $3) X 2(times) } ]
= [ - { (Debt, $2) X 3 } ] = [ - { (Debt, $3) X 2 } ]
= [ - { (-2) X 3 } ] = [ - { (-3) X 2 } ]
= [ - { (-2) X (3) } ] = [ - { (-3) X (2) } ]
= [ { (-2) X (-3) } ] = [ { (-3) X (-2) } ]
= [ (-2) X (-3) ] = [ (-3) X (-2) ]
<- Does (essence of commutative law) catches your eyes?
[^^^] = [ Law of Liuhui Brahmagupta ]
= [ (-2) X (-3) ] = [ (-3) X (-2) ]
= [ - { (-2) X (3) } ] = [ - { (-3) X (2) } ]
= [ - { (-2) X 3 } ] = [ - { (-3) X 2 } ]
= [ - { (-6) } ] = [ - { (-6) } ]
= [ - (-6) ] = [ - (-6) ]
= [ + (+6) ] = [ + (+6) ]
= [ (+6) ] = [ (+6) ]
= [ (6) ] = [ (6) ]
= [ 6 ] = [ 6 ]
Coupdetat.net (2009.06.07)
Essence of commutative law on multiplication
Essence of commutative law on multiplication
(01).
[^^^] = [ (Fortune, $2) , Add 3 times ]
= [ (Fortune, $2) + (Fortune, $2) + (Fortune, $2) ]
= [ (Fortune, $2), Multiply 3 times ]
= [ (Fortune, $2) X 3(times) ]
= [ (Fortune, $2) X 3 ]
= [ 3 X (Fortune, $2) ]
= [ 3(times) X (Fortune, $2) ] <- Does this make sense?
(02).
[^^^] = [ (Debt, $2), Add 3 times ]
= [ (Debt, $2) + (Debt, $2) + (Debt, $2) ]
= [ (Debt, $2), Multiply 3 times ]
= [ (Debt, $2) X 3(times) ]
= [ (Debt, $2) X 3 ]
= [ 3 X (Debt, $2) ]
= [ 3(times) X (Debt, $2) ] <- Does this make sense?
(03).
[^^^] = [ (+2), Add 3 times ]
= [ (+2) + (+2) + (+2) ]
= [ (+2), Multiply 3 times ]
= [ (+2) X 3(times) ]
= [ (+2) X 3 ]
= [ 3 X (+2) ]
= [ 3(times) X (+2) ] <- Does this make sense?
(04).
[^^^] = [ (-2), Add 3 times ]
= [ (-2) + (-2) + (-2) ]
= [ (-2), Multiply 3 times ]
= [ (-2) X 3(times) ]
= [ (-2) X 3 ]
= [ 3 X (-2) ]
= [ 3(times) X (-2) ] <- Does this make sense?
(05).
[^^^] = [ (Fortune, $3) , Add 2 times ]
= [ (Fortune, $3) + (Fortune, $3) ]
= [ (Fortune, $3), Multiply 2 times ]
= [ (Fortune, $3) X 2(times) ]
= [ (Fortune, $3) X 2 ]
= [ 2 X (Fortune, $3) ]
= [ 2(times) X (Fortune, $3) ] <- Does this make sense?
(06).
[^^^] = [ (Debt, $3), Add 2 times ]
= [ (Debt, $3) + (Debt, $3) ]
= [ (Debt, $3), Multiply 2 times ]
= [ (Debt, $3) X 2(times) ]
= [ (Debt, $3) X 2 ]
= [ 2 X (Debt, $3) ]
= [ 2(times) X (Debt, $3) ] <- Does this make sense?
(07).
[^^^] = [ (+3), Add 2 times ]
= [ (+3) + (+3) ]
= [ (+3), Multiply 2 times ]
= [ (+3) X 2(times) ]
= [ (+3) X 2 ]
= [ 2 X (+3) ]
= [ 2(times) X (+3) ] <- Does this make sense?
(08).
[^^^] = [ (-3), Add 2 times ]
= [ (-3) + (-3) ]
= [ (-3), Multiply 2 times ]
= [ (-3) X 2(times) ]
= [ (-3) X 2 ]
= [ 2 X (-3) ]
= [ 2(times) X (-3) ] <- Does this make sense?
(09).
[^^^] = [ Add (Fortune $6) ] = [ (Fortune $6) ]
= [ + (+6) ] = [ (+6) ]
= [ (+6) ] = [ (+6) ]
= [ (6) ] = [ (6) ]
= [ 6 ] = [ 6 ]
* (Add) is not (addition sign) but (Adding up).
* (Adding up) is free from Life and Dead.
= [ (Fortune, $2), Add the thing to multiply 3 times ] = [ + { (+2) X 3 } ]
= [ (Fortune, $2), Multiply 3 times ]
= [ (Fortune, $2) X 3(times) ]
= [ (Fortune, $2) X 3 ] = [ (+2) X 3 ]
= [ (Fortune, $6) ] = [ (+6) ]
= [ (Fortune, $3), Add the thing to multiply 2 times ] = [ + { (+3) X 2 } ]
= [ (Fortune, $3), Multiply 2 times ]
= [ (Fortune, $3) X 2(times) ]
= [ (Fortune, $3) X 2 ] = [ (+3) X 2 ]
= [ (Fortune, $6) ] = [ (+6) ]
= [ (Fortune, $6) ] = [ (Fortune, $2) X 3(times) ] = [ (Fortune, $3) X 2(times) ]
= [ (+6) ] = [ (+2) X 3(times) ] = [ (+3) X 2(times) ]
= [ + { (+6) } ] = [ + { (+2) X 3(times) } ] = [ + { (+3) X 2(times) } ]
= [ + { (+6) } ] = [ + { (+2) X 3 } ] = [ + { (+3) X 2 } ]
= [ + { (+6) } ] = [ + { (+2) X (3) } ] = [ + { (+3) X (2) } ]
= [ + { (+6) } ] = [ { (+2) X (+3) } ] = [ { (+3) X (+2) } ]
= [ + (+6) ] = [ (+2) X (+3) ] = [ (+3) X (+2) ]
= [ (+6) ] = [ (+2) X (+3) ] = [ (+3) X (+2) ]
<- Does (essence of commutative law) catches your eyes?
[^^^] = [ Law of Liuhui Brahmagupta ]
= [ (+2) X (+3) ] = [ (+3) X (+2) ]
= [ + { (+2) X (3) } ] = [ + { (+3) X (2) } ]
= [ + { (+2) X 3 } ] = [ + { (+3) X 2 } ]
= [ + { (+6) } ] = [ + { (+6) } ]
= [ { (+6) } ] = [ { (+6) } ]
= [ (+6) ] = [ (+6) ]
= [ (6) ] = [ (6) ]
= [ 6 ] = [ 6 ]
(10).
[^^^] = [ Add (Debt, $6) ] = [ Subtract (Fortune, $6) ] = [ (Debt, $6) ]
= [ + (-6) ] = [ - (+6) ]
= [ + (-6) ] = [ + (-6) ]
= [ (-6) ] = [ (-6) ]
= [ Add (Debt, $6) ] = [ + (-6) ]
= [ (Debt, $2) , Add the thing to multiply 3 times ] = [ + { (-2) X 3 } ]
= [ (Debt, $2) , Multiply 3 times ]
= [ (Debt, $2) X 3(times) ]
= [ (Debt, $2) X 3 ] = [ (-2) X 3 ]
= [ (Debt, $6) ] = [ (-6) ]
= [ Subtract (Fortune, $6) ] = [ - (+6) ]
= [ (Fortune, $3) , Subtract the thing to mutiply 2 times ] = [ - { (+3) X 2 } ]
= [ - { (Fortune, $3) X 2(times) } ]
= [ - { (Fortune, $3) X 2 } ] = [ - { (+3) X 2 } ]
= [ - { (Fortune, $6) } ] = [ - { (+6) } ]
= [ - (Fortune, $6) ] = [ - (+6) ]
= [ Add (Debt, $6) ] = [ Subtract (Fortune, $6) ]
= [ + (-6) ] = [ - (+6) ]
= [ + { (Debt, $2) X 3(times) } ] = [ - { (Fortune, $3) X 2(times) } ]
= [ + { (-2) X 3 } ] = [ - { (+3) X 2 } ]
= [ + { (-2) X (3) } ] = [ - { (+3) X (2) } ]
= [ { (-2) X (+3) } ] = [ { (+3) X (-2) } ]
= [ (-2) X (+3) ] = [ (+3) X (-2) ]
<- Does (essence of commutative law) catches your eyes?
[^^^] = [ Law of Liuhui Brahmagupta ]
= [ (-2) X (+3) ] = [ (+3) X (-2) ]
= [ + { (-2) X (3) } ] = [ - { (+3) X (2) } ]
= [ + { (-2) X 3 } ] = [ - { (+3) X 2 } ]
= [ + { (-6) } ] = [ - { (+6) } ]
= [ + (-6) ] = [ - (+6) ]
= [ + (-6) ] = [ + (-6) ]
= [ (-6) ] = [ (-6) ]
(11).
[^^^] = [ Subtract (Debt, $6) ] = [ Add (Fortune, $6) ] = [ (Fortune, $6) ]
= [ - (-6) ] = [ + (+6) ]
= [ + (+6) ] = [ + (+6) ]
= [ (+6) ] = [ (+6) ]
= [ (6) ] = [ (6) ]
= [ 6 ] = [ 6 ]
= [ (Debt, $2), Subtract the thing to multiply 3 times ] = [ - { (-2) X 3 } ]
= [ - { (Debt, $2) X 3(times) } ]
= [ - { (Debt, $2) X 3 } ] = [ - { (-2) X 3 } ]
= [ - { (Debt, $6) } ] = [ - { (-6) } ]
= [ - (Debt, $6) ] = [ - (-6) ]
= [ (Debt, $3), Subtract the thing to multiply 2 times ] = [ - { (-3) X 2 } ]
= [ - { (Debt, $3) X 2(times) } ]
= [ - { (Debt, $3) X 2 } ] = [ - { (-3) X 2 } ]
= [ - { (Debt, $6) } ] = [ - { (-6) } ]
= [ - (Debt, $6) ] = [ - (-6) ]
= [ - { (Debt, $2) X 3(times) } ] = [ - { (Debt, $3) X 2(times) } ]
= [ - { (Debt, $2) X 3 } ] = [ - { (Debt, $3) X 2 } ]
= [ - { (-2) X 3 } ] = [ - { (-3) X 2 } ]
= [ - { (-2) X (3) } ] = [ - { (-3) X (2) } ]
= [ { (-2) X (-3) } ] = [ { (-3) X (-2) } ]
= [ (-2) X (-3) ] = [ (-3) X (-2) ]
<- Does (essence of commutative law) catches your eyes?
[^^^] = [ Law of Liuhui Brahmagupta ]
= [ (-2) X (-3) ] = [ (-3) X (-2) ]
= [ - { (-2) X (3) } ] = [ - { (-3) X (2) } ]
= [ - { (-2) X 3 } ] = [ - { (-3) X 2 } ]
= [ - { (-6) } ] = [ - { (-6) } ]
= [ - (-6) ] = [ - (-6) ]
= [ + (+6) ] = [ + (+6) ]
= [ (+6) ] = [ (+6) ]
= [ (6) ] = [ (6) ]
= [ 6 ] = [ 6 ]
Coupdetat.net (2009.06.07)