Paul Penfield, Jr. Principal values and branch cuts in complex APL. In APL '81 Conference Proceedings, pages 248--256. ACM SIGAPL, San Francisco, September 1981. Proceedings published as APL Quote Quad 12(1), ACM, September 1981. Home/Search Document Not in Database Summary Related Articles Check |
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Revised^3 Report on the Algorithmic Language Scheme - Rees, (ed.), Clinger.. (1991) (190 citations) (Correct)
.... z, and tan Gamma1 z are according to the following formulae: sin Gamma1 z = Gammai log(iz p 1 Gamma z 2 ) cos Gamma1 z = Gammai log(z i p 1 Gamma z 2 ) tan Gamma1 z = Gammai log( 1 iz) p 1= 1 z 2 ) The above specification follows [43] which in turn follows [26]; refer to these sources for more detailed discussion of branch cuts, boundary conditions, and implementation of these functions. sqrt z) procedure Returns the principal square root of z. The result will have either positive real part, or zero real part and non negative imaginary part. expt z 1 ....
Paul Penfield, Jr. Principal values and branch cuts in complex APL. In APL '81 Conference Proceedings, pages 248--256. ACM SIGAPL, San Francisco, September 1981. Proceedings published as APL Quote Quad 12(1), ACM, September 1981.
Revised^5 Report on the Algorithmic Language Scheme - Kelsey, (ed.), Clinger.. (1998) (Correct)
....undefined. With log defined this way, the values of sin ,1 z,cos ,1 z,andtan ,1 z are according to the following formul: sin ,1 z = ilog#iz p 1, z 2 # cos ,1 z = p=2, sin ,1 z tan ,1 z =#log#1 iz# , log#1 , iz##=#2i# The above specification follows [27] which in turn cites [19]; refer to these sources for more detailed discussion of branch cuts, boundary conditions, and implementation of these functions. When it is possible these procedures produce a real result from a real argument. sqrt z) procedure Returns the principal square root of z. The result will have either ....
Paul Penfield, Jr. Principal values and branch cuts in complex APL. In APL '81 Conference Proceedings, pages 248--256. ACM SIGAPL, San Francisco, September 1981. Proceedings published as APL Quote Quad 12(1), ACM, September 1981.
Revised^5 Report on the Algorithmic Language Scheme - Kelsey, (ed.), Clinger.. (1998) (112 citations) (Correct)
.... With log defined this way, the values of sin 1 z, cos 1 z, and tan 1 z are according to the following formul : sin 1 z = i log(iz # 1 z 2 ) cos 1 z = # 2 sin 1 z tan 1 z = log(1 iz) log(1 iz) 2i) The above specification follows [27] which in turn cites [19]; refer to these sources for more detailed discussion of branch cuts, boundary conditions, and implementation of these functions. When it is possible these procedures produce a real result from a real argument. Revised 5 Scheme (sqrt z) procedure Returns the principal square root of z. The ....
Paul Penfield, Jr. Principal values and branch cuts in complex APL. In APL '81 Conference Proceedings, pages 248--256. ACM SIGAPL, San Francisco, September 1981. Proceedings published as APL Quote Quad 12(1), ACM, September 1981.
Revised^5 Report on the Algorithmic Language Scheme - Kelsey, (ed), Clinger.. (1998) (Correct)
.... Gamma1 z, and tan Gamma1 z are according to the following formulae: sin Gamma1 z = Gammai log(iz p 1 Gamma z 2 ) cos Gamma1 z = 2 Gamma sin Gamma1 z tan Gamma1 z = log(1 iz) Gamma log(1 Gamma iz) 2i) The above specification follows [27] which in turn cites [19]; refer to these sources for more detailed discussion of branch cuts, boundary conditions, and implementation of these functions. When it is possible these procedures produce a real result from a real argument. 24 Revised 5 Scheme (sqrt z) procedure Returns the principal square root of z. The ....
Paul Penfield, Jr. Principal values and branch cuts in complex APL. In APL '81 Conference Proceedings, pages 248--256. ACM SIGAPL, San Francisco, September 1981. Proceedings published as APL Quote Quad 12(1), ACM, September 1981.
Revised^4 Report on the Algorithmic Language Scheme - Clinger, (ed.), Rees.. (1991) (242 citations) (Correct)
.... Gamma1 z, and tan Gamma1 z are according to the following formulae: sin Gamma1 z = Gammai log(iz p 1 Gamma z 2 ) cos Gamma1 z = 2 Gamma sin Gamma1 z tan Gamma1 z = log(1 iz) Gamma log(1 Gamma iz) 2i) The above specification follows [83] which in turn cites [60]; refer to these sources for more detailed discussion of branch cuts, boundary conditions, and implementation of these functions. When it is possible these procedures produce a real result from a real argument. sqrt z) procedure Returns the principal square root of z. The result will have either ....
Paul Penfield, Jr. Principal values and branch cuts in complex APL. In APL '81 Conference Proceedings, pages 248--256. ACM SIGAPL, San Francisco, September 1981. Proceedings published as APL Quote Quad 12(1), ACM, September 1981.
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