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Gertrude K. Blanch has written:

'Mathieu's equation for complex parameters' -- subject(s): Eigenvalues, Mathieu functions

'On the computation of Mathieu functions'

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Gertrude K. Blanch has written:

'Mathieu's equation for complex parameters' -- subject(s): Eigenvalues, Mathieu functions

'On the computation of Mathieu functions'

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Suppose N is a perfect number. Then N cannot be a square number and so N has an even number of factors.Suppose the factors are f(1) =1, f(2), f(3), ... , f(k-1), f(k)=N.

Furthermore f(r) * f(k+1-r) = N for r = 1, 2, ... k so that f(r) = N/f(k+1-r)

which implies that 1/f(r) = f(k+1-r)/N


Then 1/f(1) + 1/(f(2) + ... + 1/f(k)

= f(k)/N + f(k-1)/N + ... + f(1)/N

= [f(k) + f(k-1) + ... + f(1)] / N

= 2N/N since, by definition, [f(k) + f(k-1) + ... + f(1)] = 2N

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values of general gas constant

R = 0.082 atm. ℓ.mol-1.K-1

R = 8.314 Pa.m3.mol-1.K-1

R = 1.99Cal.mol-1.K-1

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I thinks that might be

r k r j s k s j t k

Repeats the sequence of the letter rr ss tt. . . . and k...j

... k ... j ... k ... j ... k ---> line 1

r......r.....s....s.....t.... ---> line 2

Match line 1 with line 2.

I hope it is clear and correct.

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Mathieu Kassovitz is 5' 9 1/2".

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