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commutativity of polynomial matrix multiplication
Hi, I wonder whether there is a way of proving that the multiplication of two given polynomial matrices is commutative. Let' s say for the point of argument, we have two given polynomial matrices, whose coefficients are given by matrices p1(A) = -1*A^(-1) + I + 2*A + 3*A*A p2(A) = A^(-1) Obviously p1(A)*... 13 Aug 2010 19:04
If f(x)=sum_k (z_k)cos(k(x+p_k)) then what's sum_k k(z_k)cos(k(x+p_k)) ?
Golabi Doon wrote: Hello, Consider the function f(x) represented in phase/magnitude form sum_k (z_k)cos(k(x+p_k)) where z_k are negative real and p_k are real. Some operations on f have nice form, for example, we know sum_k (-k) (z_k)sin(k(x+p_k)) is the same df/dx. My question is, does sum_k ... 13 Aug 2010 09:13
Ideal Index
If I is an ideal of a ring R and [R:I] = 2, then I is a maximal ideal. Are there any other benifits from an ideal having an index of two? Are there ideals with an index of two that aren't prime? ... 13 Aug 2010 09:12
Revelation
a) i=0.1 = _ b) 10i=1 = _._._._._._._._._._ c) 10i/10i = i = _ , c_1) 1/1 = i = _ d) 1/1* 1 = i*10i=10i^2 = |_|_|_|_|_|_|_|_|_|_| e) 1/1*1/1 = i*i = i^2 = |_| f) i*1*1= i*10i*10i =100i^3 ----> |_|_|_|_|_|_|_|_|_|_| |_|_|_|_|_|_|_|_|_|_| |_|_|_|_|_|_|_|_|_|_| |_|_|_|_|_|_|_|_|_|_| |_|_|_|_|_|_|_... 13 Aug 2010 11:24
Equivalent statement to the Golbach conjecture #5.31 Correcting Math
Alright, I have fiddled around with Goldbach, nay, since 1991, almost 20 years and it is time I finally conquer it. Although, I must say, the idea of a Galois Algebra interchange is very tempting as a proof. But in 1991 I sought for a conventional proof and tonight continues that saga. What I did in 1991 was s... 13 Aug 2010 04:54
UK math deterioration; what UK mathematician believes K is notdivisible by K
On 13 Aug, 03:05, Barb Knox <s...(a)sig.below> wrote: In article <5736e570-1771-4f9a-9b8a-36e14aec8...(a)j8g2000yqd.googlegroups.com>,  "sttscitr...(a)tesco.net" <sttscitr...(a)tesco.net> wrote: On 11 Aug, 06:24, Barb Knox <s...(a)sig.below> wrote: In article <4b99bf87-a8a6-43f8-969d-0d... 13 Aug 2010 04:54
not yet a conventional proof of Goldbach #5.30 Correcting Math
Archimedes Plutonium wrote: (snipped) If there is a theorem that can be proven that given any Goldbach summand pair for Even Integers >6 that the process above always insures a new two prime summand pair. So I have reduced the Goldbach Conjecture to a theorem that says basically every Even ... 13 Aug 2010 02:46
not yet a conventional proof of Goldbach #5.29 Correcting Math
It may not be obvious to some viewers that I have not yet achieved a proof of Goldbach. Sometimes in excitement I overstate things. Goldbach is not yet here, proven. It would be proven if I had a Galois Algebra that could mirror image multiplication with addition since in multiplication, every Even Integer >2 r... 13 Aug 2010 02:46
JSH: new results published
... 13 Aug 2010 21:14
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