Advanced Engineering Math II phần 3 pdf

... the LFT to take z 1 Æw 1 , z 2 Æw 2 and z 3 Æw 3 . Consider the LFT: (w-w 1 )(w 2 -w 3 ) (w-w 3 )(w 2 -w 1 ) = (z-z 1 )(z 2 -z 3 ) (z-z 3 )(z 2 -z 1 ) (*) Since plugging in the ... it is inadequate) and go to Erwin Kreyzsig, Advanced Engineering Mathematics, 8th Edition, Wiley. 23 onto the right of the vertical line x = 1/2 (3) Translate by adding –1/2 and...

Ngày tải lên: 08/08/2014, 11:21

... C- R are called conjugate harmonic functions. Advanced Engineering Math II Math 144 Lecture Notes by Stefan Waner (First printing: 20 03) Department of Mathematics, Hofstra University 7 Definition ... u(x, y) = x 3 - 3xy 2 - 5y. Show that u is harmonic, and find a conjugate for it. Example 2.9 Write f(z) = 1/z in this form. Exercise Set 2 p. 806, #1, 5, 9, 15, 19, 21, 23, 25, 3...

Ngày tải lên: 08/08/2014, 11:21

... ı Ù Û C   f(z) dz + ı Ù Û D   f(z) dz 12 Exercise Set 3 p. 817 #1, 3, 5, 11, 13, 17, 21, 23 31 odd, 35 , 37 , 45 p. 821 #1, 5, 7, 11, 13, 15, 23 Hand In 1. Find functions f that do the following: (a) ... O ı Ù Û C   1 1+z 2 dz where C is the circle |z| = 3. Exercise Set 4 p. 832 #1–7 odd, 17, 23, 29 p. 837 # 1, 5, 9, 11, 13, 15 p. 842 # 1, 3, 5, 7, 11, 21 5. Cauchy's...

Ngày tải lên: 08/08/2014, 11:21

... per unit time. Examples 33 3 kV 3 kV insulation We would like a conformal mapping sending the disk to H. Without being too demanding, let us go back to Example (B) on p. 23 of these notes, where ... that w = 1+z 1-z takes the above disc onto the right-hand half-plane as shown: 3 kV 3 kV 3 kV 3 kV So what we need now is a nice potential for the right-hand region. But this...

Ngày tải lên: 08/08/2014, 11:21

... (0.1+0.60 83* (t+(((t^2-k^2-4)^2+4*t^2*k^2)^.5/2+(t^2- k^2-4)/2)^.5))*(1+1/(0.05+0 .37 *(t^2+k^2+2*((t^2-k^2- 4)^2+4*t^2*k^2)^.5/2)+0.12166*(t+2*k)+(((t^2-k^2- 4)^2+4*t^2*k^2)^.5/2+(t^2-k^2- 4)/2)^.5*(0.74*t+0.12166)+(((t^2-k^2-4)^2+4*t^2*k^2)^.5/2- (t^2-k^2-4)/2)^.5 *( .37 *k+0.2 433 2))) y = (0.2+0.60 83* (k+(((t^2-k^2-4)^2+4*t^2*k^2)^.5/2-(t^2- k^2-4)/2)^.5))*(1-1/(0.05+0 .37 *(t^2+k^2+2*(...

Ngày tải lên: 08/08/2014, 11:21

... 120 39 0 - 130 420 - 155 476 - 161 761 - 259 695 -1 93 in áp s cp (kV) 6(10) 6(10) 6(10) 6(10) 6(10) 10 (35 ) 35 35 35 110 S cp in áp 8 8 8 8 12 23 22 22 23 23 Nng lng ... 3 6 12 25 50 100 100 200 Công sut bin áp lò (MVA) 0, 63 1,25 2,0 4,0* 8,0* 12,5* 20* 32 * 80** 6 Gii hn in áp li (V) 216 - 106 225 - 110 2 43 - 124 281 - 12...

Ngày tải lên: 22/12/2013, 18:16

... 120 39 0 - 130 420 - 155 476 - 161 761 - 259 695 -1 93 in áp s cp (kV) 6(10) 6(10) 6(10) 6(10) 6(10) 10 (35 ) 35 35 35 110 S cp in áp 8 8 8 8 12 23 22 22 23 23 Nng lng ... 3 6 12 25 50 100 100 200 Công sut bin áp lò (MVA) 0, 63 1,25 2,0 4,0* 8,0* 12,5* 20* 32 * 80** 6 Gii hn in áp li (V) 216 - 106 225 - 110 2 43 - 124 281 - 12...

Ngày tải lên: 26/01/2014, 23:20

... Split Unregistered Version - http://www.simpopdf.com 12 Exercise Set 3 p. 817 #1, 3, 5, 11, 13, 17, 21, 23 31 odd, 35 , 37 , 45 p. 821 #1, 5, 7, 11, 13, 15, 23 Hand In 1. Find functions f that do the ... e -z . Definition 3. 3 Define the trigonometric sine and cosine functions by cos z = 1 2 (e iz + e -iz ) Simpo PDF Merge and Split Unregistered Version - http://www.simpopdf.com 3...

Ngày tải lên: 27/06/2014, 14:20

... 0.4 ÷ 1.2 = 0 .33 3 m 3 , and the total volume V = V W + V A = 0.001 + 0 .33 3 = 0 .33 4 m 3 . The volume of the coffee cup V W =0.001 m 3 , and it contains internal energy U W = 32 2.2 kJ. The ... i.e., s (g,240 .3) = 83. 5 + 142.51 = 226.01 kJ kmole –1 K –1 (point G in Figure 33 ). Therefore, s (g,240 .3) = 226 kJ kmole –1 K –1 , and h(g, 240 .3) = 131 32 + 20.058 = 33 ,190...

Ngày tải lên: 08/08/2014, 15:21

... H_ID AGEROUND EDUCATIO 41012008 7 8 411 230 22 8 3 41 132 055 6 8 61 732 1 73 8 8 61 831 086 7 8 61 832 0 13 6 8 721 130 47 7 8 72 132 065 6 8 72 132 065 6 8 Number of cases read: 9 Number ... Percent Valid Percent Cumulative Percent -1.00 62 3. 6 3. 6 3. 6 head/spine 624 36 .3 36 .3 39.9 torso 37 9 22.0 22.0 61.9 limbs 656 38 .1 38 .1 100.0 Valid...

Ngày tải lên: 22/07/2014, 09:21