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Let f(z) be an analytic function in the annulus 0 <|z| < R for some positive real number R,Whose laurent series (in this annulus) is given by
f(z) = n from -∞ to ∞ ∑ { (-1)^n / (n^2)! ] } . Z ^ { 5n - n^2 -1}
A)) What Kind of Singularity is z=0 for f(z) ?
B)) Compute integral on Curve for [ z ^ 24 . f(z) dz] ,where C is a counterclockwise simple path lying in the annulus enclosing z=0
C)) Calculate Res (f) in z=0
D)) Evaluate Integral on Curve for [ sin Z .f(z) dz] , where C : |z| = (R/2) oriented counterclockwise
Note : please not by limit
f(z) = n from -∞ to ∞ ∑ { (-1)^n / (n^2)! ] } . Z ^ { 5n - n^2 -1}
A)) What Kind of Singularity is z=0 for f(z) ?
B)) Compute integral on Curve for [ z ^ 24 . f(z) dz] ,where C is a counterclockwise simple path lying in the annulus enclosing z=0
C)) Calculate Res (f) in z=0
D)) Evaluate Integral on Curve for [ sin Z .f(z) dz] , where C : |z| = (R/2) oriented counterclockwise
Note : please not by limit
Let f(z) be an analytic function in the annulus 0 <|z| < R for some positive real number R,Whose laurent series (in this annulus) is given by
f(z) = n from -∞ to ∞ ∑ { (-1)^n / (n^2)! ] } . Z ^ { 5n - n^2 -1}
A)) What Kind of Singularity is z=0 for f(z) ?
B)) Compute integral on Curve for [ z ^ 24 . f(z) dz] ,where C is a counterclockwise simple path lying in the annulus enclosing z=0
C)) Calculate Res (f) in z=0
D)) Evaluate Integral on Curve for [ sin Z .f(z) dz] , where C : |z| = (R/2) oriented counterclockwise
Note : please not by limit
f(z) = n from -∞ to ∞ ∑ { (-1)^n / (n^2)! ] } . Z ^ { 5n - n^2 -1}
A)) What Kind of Singularity is z=0 for f(z) ?
B)) Compute integral on Curve for [ z ^ 24 . f(z) dz] ,where C is a counterclockwise simple path lying in the annulus enclosing z=0
C)) Calculate Res (f) in z=0
D)) Evaluate Integral on Curve for [ sin Z .f(z) dz] , where C : |z| = (R/2) oriented counterclockwise
Note : please not by limit
a, b and c are positive integers. a and b have LCM 30 and GCD 5. Again b and c
have LCM 60 and GCD 3.If a is an even number then find LCM of a and c.
have LCM 60 and GCD 3.If a is an even number then find LCM of a and c.
x=m×(m+1) ×(m+2) ×(m+3) ×… …×(3m-1) ×3m. Here x is divisible by 3k, if
m=1000 then find the maximum possible value of k.
m=1000 then find the maximum possible value of k.
A book has some page missing consecutively. The sum of the page number of
missing pages is 976. How many pages are missing there?
missing pages is 976. How many pages are missing there?
If P(x,n)= F(x,n)+F(x^2,n)+ F(x^3,n)+……+ F(x^n,n) where F(x, n)= x mod n, (i.e.
12 Mod 5 = 2 , means if we divide 12 by 5 we get a remainder of 2)
How many values of n are there so that, P(2014,n)=n ,where n<2012?
12 Mod 5 = 2 , means if we divide 12 by 5 we get a remainder of 2)
How many values of n are there so that, P(2014,n)=n ,where n<2012?
how do you use linear models
for each matrix, state te maximin for player 1(the row player). State the minimax for player 1(the column player). Is there a saddlepoint? does either player do better than their strategy?
[347]
[281]
[455]
[347]
[281]
[455]
A car hire company has one car at each of five depost a, b,c,d,e.a customer requires a car in each town namely A,B,C,D,E distances between deposits and town are given in the following distance matrix how should the cars be assigned so as to minimize the distance travelled
a. b. c. d. e
A. 160. 130. 175. 190. 200
B. 135 120. 130. 160 175
C. 140. 110. 155. 170. 185
D. 50. 50. 80. 80. 110
E. 55. 35. 70. 80. 105
a. b. c. d. e
A. 160. 130. 175. 190. 200
B. 135 120. 130. 160 175
C. 140. 110. 155. 170. 185
D. 50. 50. 80. 80. 110
E. 55. 35. 70. 80. 105
This is a Logic question. I need the proof of the argument...... 1. A v ~B 2. ~A v S // B -> S.
I am not sure if the answer 3.com .impl. 5.impl. 6.hs is correct.
I am not sure if the answer 3.com .impl. 5.impl. 6.hs is correct.
