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Aminophosphonic and Aminophosphinic Acids: Chemistry and - download pdf or read online

By Valery P. Kukhar, Harry R. Hudson

ISBN-10: 0471891495

ISBN-13: 9780471891499

Aminophosphinic and aminoposphonic acids, man made analogs to normal amino acids, have attained a place of prominence in research--particularly in examine related to the amendment of physiological techniques in dwelling organisms.

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Additional info for Aminophosphonic and Aminophosphinic Acids: Chemistry and Biological Activity

Sample text

Dx xx i (n-2) 45 1 f xX~dx f . a x x-2! X dx =-1! " f ~ ,i'XT = ± f x2 dx = f ~d x x -a x = (2 x -a 2)! n(21cX + 2cx IX f = c-! l. lJ) )("2= -x ~C f XT \2n-1 dx + a J O = -a-t tn[2x- 1 (rax+a)+b] , = _a-t 12 = 2(2cx+b)D- 1X-! 9.. Tg f i. 1.. bx n/a +bx lax'+bx f _d_x_= cos -1 (~) 12ax-x2 a _d_x_ = Q,n(x + a + 12ax+x2) 12ax+x 2 _1- rc rc Q,n (±b + cx + la±2bx+cx') f . -1 -S1n IC' cx +b ~ 48 Trigonometric functions: f sinaxdx f sin 2 axdx = i x - ia sin 2ax f sin 4 axdx = ~ f sinnaxdx = - Sln n:x cos ax + f 5 in!

1 . n-1 m+ 1 s 1 n ax cos ax n-1 (n + mJa + n+m \ cos m- i . n+ 1 ax + m-1 ax Sln (n + mJa n+m f dx ~ ~ 9,n(tan ax) sin ax cos ax f dx s in 2 ax cos ax ~ ~ {9,n[tan(i + ~ax)] f dx si n ax cos 2 ax ~ f dx sin 2 ax cos 2 ax J 1a f sln . n-2 ax cos max dx f Sln . ,. 1 52 f sin'ax dx cos ax f sin'ax dx cos 3 ax f sin'ax dx cosn ax sinax a(n - 1 )cos n-1 ax - f cos ax sin 2 ax dx - a sin ax f cos ax dx sinnax f cos'ax dx sin ax f cos'ax dx sinnax . ax - a1Sln = + 1. I. 4 + ax) 2 1. I. (cos ax + on tan ax) a N 2 1 - rn::TI r , n a(n - 1)sin n- 1ax 1 cos'axdx 1 (cos ax R-n tan ax) sin 3 ax - - 2a sin 2 ax 2 (cos ax + a sinn-lax f dx sin n- 2ax , n r 1 n-1 n-2 + ~ f cos .

30 1. 35 1. 38 1. 50 1. 69 1. 70 1. 72 1. 73 1. 74 1. 75 1. 77 1. 78 1. 69838 1. 94576 cothx 1. 1381 1. 1215 1. 1116 1. 0832 1. 0691 1. 97477 . 0358 1. 0324 1. 0216 1. 0128 1. 0113 1. 0109 1. 01 07 1. 0050 1. 0015 1. (u + / + = 0 2 c b =a - -2 • 3a v) t(u - v)il3 v) - t(u - v)il3 ;;;r---;:;:r- if ~ 4 + 1C 27 > 0 f + ¥J < 0 the 2 3 Y1 = -2r cos! +g;;.. 4 System of linear equations 1, 2, 3, ... , n This represents a system of n linear equations for the n unknown values xk . 1 Homogeneous system of linear equations i = 1, 2, 3, ...

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Aminophosphonic and Aminophosphinic Acids: Chemistry and Biological Activity by Valery P. Kukhar, Harry R. Hudson


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