By Charlotte Baker-Shenk, Dennis Cokely

Cokely D., Baker-Shenk C. American signal Language.. A scholar textual content, devices 1-9 (Gallaudet college Press, 1991)(ISBN 0930323866)(400dpi)(194s)

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**Extra resources for American sign language: a student text, units 1-9**

**Sample text**

58 DDDDDDDDDDDDCDDDDDDDDDDDDDDDDDDDDDDDDD Finally, here is an example of a rather different kind. Once you have seen it done, you will be able to deal with others of this kind. Here it is. Express el - j1T /4 in the form a + jb Well now, we can write = e(cos 1T/4 - j sin 1T/4) = e{y~- j y~} = y2~(1-j) 59 This brings us to the end of this programme, except for the test exercise. Before you do that, read down the Revision Sheet that follows in the next frame and revise any points on which you are not completely sure.

53°7' Then in this case, 8=1800+£=233~' P z=-3-j4 argz=233~' Now you find arg (-5 + j2) Y, Move on when finished. 4 47 :. 8=158°12' 00000000000000000000000000000000000000 Complex numbers in polar form are always of the same shape and differ only in the actual values of rand 8. We often use the shorthand version rift. to denote the polar form. g. /29 = 5·385 and from above 8 = 158°12' The full polar form is z = 5 ·385 (cos 158°12' + j sin 158°12') and this can be shortened to z = 5 ·385 \158° 12' Express in shortened form, the polar form of (4 - j3) Do not forget to draw a sketch diagram first.

2. Complex numbers z=a+jb y a = real part b = imaginary part a---l o x (a + jb) and (a - jb) 3. Conjugate complex numbers The product of two conjugate complex numbers is always real. (a + jb)(a - jb) = a 2 + b 2 4. Equal complex numbers If a + jb = c + jd, then a = c and b = d. 5. Pomr form ofa complex number y z=a+jb = r(cos 8 + j sin 8) = r\..! 8 = tan- 1 { ~} a = r cos 8 ; b = r sin 8 also r = the modulus of z, written 'mod z' or Izl 8 = the argument of z, written 'arg z' 6. 6 and r (cos 8 - j sin 8) = re-J6 } 8 in radians 7.