-
Notifications
You must be signed in to change notification settings - Fork 2
/
functions.html
272 lines (239 loc) · 10.6 KB
/
functions.html
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
<!DOCTYPE html>
<html>
<head>
<title>SageMath Functions</title>
<link rel="stylesheet" type="text/css" href="style.css">
<style>
body { max-width: 5in }
p { margin-left: 1in }
</style>
</head>
<body>
<h1 id="basic">Basic Functions</h1>
<p>
<a href="functions/abs.html">abs</a><br>
<a href="functions/abs_symbolic.html">abs_symbolic</a><br>
<a href="functions/arg.html">arg</a><br>
<a href="functions/conjugate.html">conjugate</a><br><br>
<a href="functions/real.html">real</a><br>
<a href="functions/real_part.html">real_part</a><br>
<a href="functions/imag.html">imag</a><br>
<a href="functions/imaginary.html">imaginary</a><br>
<a href="functions/imag_part.html">imag_part</a><br><br>
<a href="functions/sqrt.html">sqrt</a><br><br>
<a href="functions/min_symbolic.html">min_symbolic</a><br>
<a href="functions/max_symbolic.html">max_symbolic</a><br><br>
<a href="functions/sign.html">sign</a><br>
<a href="functions/sgn.html">sgn</a><br><br>
<a href="functions/floor.html">floor</a><br>
<a href="functions/ceil.html">ceil</a><br>
<a href="functions/frac.html">frac</a><br><br>
<a href="functions/function.html">function</a><br>
<a href="functions/piecewise.html">piecewise</a><br>
<a href="functions/spline.html">spline</a>
</p>
<br><h1 id="logarithmic">Logarithmic Functions</h1>
<p>
<a href="functions/exp.html">exp</a><br>
<a href="functions/exp_polar.html">exp_polar</a><br>
<a href="functions/ln.html">ln</a><br>
<a href="functions/log.html">log</a><br><br>
<a href="functions/harmonic_number.html">harmonic_number</a><br><br>
<a href="functions/polylog.html">polylog</a><br>
<a href="functions/dilog.html">dilog</a><br>
<a href="functions/lambert_w.html">lambert_w</a>
</p>
<br><h1 id="circular">Circular Functions</h1>
<p>
<a href="functions/sin.html">sin</a><br>
<a href="functions/cos.html">cos</a><br>
<a href="functions/tan.html">tan</a><br>
<a href="functions/cot.html">cot</a><br>
<a href="functions/sec.html">sec</a><br>
<a href="functions/csc.html">csc</a><br><br>
<a href="functions/arcsin.html">arcsin</a><br>
<a href="functions/asin.html">asin</a><br>
<a href="functions/arccos.html">arccos</a><br>
<a href="functions/acos.html">acos</a><br><br>
<a href="functions/arctan.html">arctan</a><br>
<a href="functions/atan.html">atan</a><br>
<a href="functions/arctan2.html">arctan2</a><br>
<a href="functions/atan2.html">atan2</a><br><br>
<a href="functions/arccot.html">arccot</a><br>
<a href="functions/acot.html">acot</a><br>
<a href="functions/arcsec.html">arcsec</a><br>
<a href="functions/asec.html">asec</a><br>
<a href="functions/arccsc.html">arccsc</a><br>
<a href="functions/acsc.html">acsc</a>
</p>
<br><h1 id="hyperbolic">Hyperbolic Functions</h1>
<p>
<a href="functions/sinh.html">sinh</a><br>
<a href="functions/cosh.html">cosh</a><br>
<a href="functions/tanh.html">tanh</a><br>
<a href="functions/coth.html">coth</a><br>
<a href="functions/sech.html">sech</a><br>
<a href="functions/csch.html">csch</a><br><br>
<a href="functions/arcsinh.html">arcsinh</a><br>
<a href="functions/asinh.html">asinh</a><br>
<a href="functions/arccosh.html">arccosh</a><br>
<a href="functions/acosh.html">acosh</a><br>
<a href="functions/arctanh.html">arctanh</a><br>
<a href="functions/atanh.html">atanh</a><br><br>
<a href="functions/arccoth.html">arccoth</a><br>
<a href="functions/acoth.html">acoth</a><br>
<a href="functions/arcsech.html">arcsech</a><br>
<a href="functions/asech.html">asech</a><br>
<a href="functions/arccsch.html">arccsch</a><br>
<a href="functions/acsch.html">acsch</a>
</p>
<br><h1 id="bessel">Bessel Functions</h1>
<p>
<a href="functions/bessel_J.html">bessel_J</a><br>
<a href="functions/bessel_Y.html">bessel_Y</a><br>
<a href="functions/bessel_I.html">bessel_I</a><br>
<a href="functions/bessel_K.html">bessel_K</a><br><br>
<a href="functions/hankel1.html">hankel1</a><br>
<a href="functions/hankel2.html">hankel2</a><br><br>
<a href="functions/struve_H.html">struve_H</a><br>
<a href="functions/struve_L.html">struve_L</a><br><br>
<a href="functions/spherical_bessel_J.html">spherical_bessel_J</a><br>
<a href="functions/spherical_bessel_Y.html">spherical_bessel_Y</a><br>
<a href="functions/spherical_hankel1.html">spherical_hankel1</a><br>
<a href="functions/spherical_hankel2.html">spherical_hankel2</a>
</p>
<br><h1 id="airy">Airy Functions</h1>
<p>
<a href="functions/airy_ai.html">airy_ai</a><br>
<a href="functions/airy_ai_prime.html">airy_ai_prime</a><br>
<a href="functions/airy_bi.html">airy_bi</a><br>
<a href="functions/airy_bi_prime.html">airy_bi_prime</a>
</p>
<br><h1 id="orthogonal">Orthogonal Polynomials</h1>
<p>
<a href="functions/hermite.html">hermite</a><br><br>
<a href="functions/laguerre.html">laguerre</a><br>
<a href="functions/gen_laguerre.html">gen_laguerre</a><br><br>
<a href="functions/legendre_P.html">legendre_P</a><br>
<a href="functions/legendre_Q.html">legendre_Q</a><br>
<a href="functions/gen_legendre_P.html">gen_legendre_P</a><br>
<a href="functions/gen_legendre_Q.html">gen_legendre_Q</a><br>
<a href="functions/spherical_harmonic.html">spherical_harmonic</a><br><br>
<a href="functions/chebyshev_T.html">chebyshev_T</a><br>
<a href="functions/chebyshev_U.html">chebyshev_U</a><br><br>
<a href="functions/jacobi_P.html">jacobi_P</a><br>
<a href="functions/gegenbauer.html">gegenbauer</a></br>
<a href="functions/ultraspherical.html">ultraspherical</a>
</p>
<br><h1 id="exponential">Exponential Integrals</h1>
<p>
<a href="functions/exp_integral_ei.html">exp_integral_ei</a><br>
<a href="functions/Ei.html">Ei</a><br>
<a href="functions/exp_integral_e1.html">exp_integral_e1</a><br>
<a href="functions/exponential_integral_1.html">exponential_integral_1</a><br>
<a href="functions/exp_integral_e.html">exp_integral_e</a><br><br>
<a href="functions/log_integral.html">log_integral</a><br>
<a href="functions/li.html">li</a><br>
<a href="functions/log_integral_offset.html">log_integral_offset</a><br>
<a href="functions/Li2.html">Li</a><br><br>
<a href="functions/sin_integral.html">sin_integral</a><br>
<a href="functions/Si.html">Si</a><br>
<a href="functions/cos_integral.html">cos_integral</a><br>
<a href="functions/Ci.html">Ci</a><br><br>
<a href="functions/sinh_integral.html">sinh_integral</a><br>
<a href="functions/Shi.html">Shi</a><br>
<a href="functions/cosh_integral.html">cosh_integral</a><br>
<a href="functions/Chi.html">Chi</a>
</p>
<br><h1 id="elliptic">Elliptic Integrals</h1>
<p>
<a href="functions/elliptic_f.html">elliptic_f</a><br>
<a href="functions/elliptic_kc.html">elliptic_kc</a><br><br>
<a href="functions/elliptic_e.html">elliptic_e</a><br>
<a href="functions/elliptic_ec.html">elliptic_ec</a><br>
<a href="functions/elliptic_eu.html">elliptic_eu</a><br><br>
<a href="functions/elliptic_pi.html">elliptic_pi</a>
</p>
<br><h1 id="jacobi">Jacobi Elliptic Functions</h1>
<p>
<a href="functions/jacobi.html">jacobi</a><br><br>
<a href="functions/jacobi_am.html">jacobi_am</a><br>
<a href="functions/jacobi_sn.html">jacobi_sn</a><br>
<a href="functions/jacobi_cn.html">jacobi_cn</a><br>
<a href="functions/jacobi_dn.html">jacobi_dn</a><br><br>
<a href="functions/jacobi_ns.html">jacobi_ns</a><br>
<a href="functions/jacobi_nc.html">jacobi_nc</a><br>
<a href="functions/jacobi_nd.html">jacobi_nd</a><br><br>
<a href="functions/jacobi_sc.html">jacobi_sc</a><br>
<a href="functions/jacobi_sd.html">jacobi_sd</a><br>
<a href="functions/jacobi_cs.html">jacobi_cs</a><br>
<a href="functions/jacobi_cd.html">jacobi_cd</a><br>
<a href="functions/jacobi_ds.html">jacobi_ds</a><br>
<a href="functions/jacobi_dc.html">jacobi_dc</a><br><br>
<a href="functions/inverse_jacobi.html">inverse_jacobi</a><br><br>
<a href="functions/inverse_jacobi_sn.html">inverse_jacobi_sn</a><br>
<a href="functions/inverse_jacobi_cn.html">inverse_jacobi_cn</a><br>
<a href="functions/inverse_jacobi_dn.html">inverse_jacobi_dn</a><br><br>
<a href="functions/inverse_jacobi_ns.html">inverse_jacobi_ns</a><br>
<a href="functions/inverse_jacobi_nc.html">inverse_jacobi_nc</a><br>
<a href="functions/inverse_jacobi_nd.html">inverse_jacobi_nd</a><br><br>
<a href="functions/inverse_jacobi_sc.html">inverse_jacobi_sc</a><br>
<a href="functions/inverse_jacobi_sd.html">inverse_jacobi_sd</a><br>
<a href="functions/inverse_jacobi_cs.html">inverse_jacobi_cs</a><br>
<a href="functions/inverse_jacobi_cd.html">inverse_jacobi_cd</a><br>
<a href="functions/inverse_jacobi_ds.html">inverse_jacobi_ds</a><br>
<a href="functions/inverse_jacobi_dc.html">inverse_jacobi_dc</a>
</p>
<br><h1 id="hypergeometric">Hypergeometric Functions</h1>
<p>
<a href="functions/hypergeometric.html">hypergeometric</a><br>
<a href="functions/hypergeometric_M.html">hypergeometric_M</a><br>
<a href="functions/hypergeometric_U.html">hypergeometric_U</a>
</p>
<br><h1 id="gamma">Gamma Functions</h1>
<p>
<a href="functions/gamma.html">gamma</a><br>
<a href="functions/factorial.html">factorial</a><br>
<a href="functions/beta.html">beta</a><br>
<a href="functions/binomial.html">binomial</a><br><br>
<a href="functions/psi.html">psi</a><br>
<a href="functions/log_gamma.html">log_gamma</a><br>
<a href="functions/incomplete_gamma.html">incomplete_gamma</a><br>
<a href="functions/gamma_inc.html">gamma_inc</a><br>
<a href="functions/gamma_inc.html">gamma_inc_lower</a><br><br>
<a href="functions/erf.html">erf</a><br>
<a href="functions/error_fcn.html">error_fcn</a>
</p>
<br><h1 id="zeta">Zeta Functions</h1>
<p>
<a href="functions/zeta.html">zeta</a><br>
<a href="functions/zetaderiv.html">zetaderiv</a><br>
<a href="functions/zeta_symmetric.html">zeta_symmetric</a><br>
<a href="functions/hurwitz_zeta.html">hurwitz_zeta</a>
</p>
<br><h1 id="generalized">Generalized Functions</h1>
<p>
<a href="functions/kronecker_delta.html">kronecker_delta</a><br>
<a href="functions/dirac_delta.html">dirac_delta</a><br>
<a href="functions/heaviside.html">heaviside</a><br>
<a href="functions/unit_step.html">unit_step</a><br>
<a href="functions/spike_function.html">spike_function</a>
</p>
<br><h1 id="miscellaneous">Miscellaneous Functions</h1>
<p>
<a href="functions/dickman_rho.html">dickman_rho</a><br>
<a href="functions/elliptic_j.html">elliptic_j</a><br>
<a href="functions/legendre_phi.html">legendre_phi</a><br>
<a href="functions/partial_sieve_function.html">partial_sieve_function</a><br>
<a href="functions/prime_pi.html">prime_pi</a><br><br>
<a href="functions/wigner_3j.html">wigner_3j</a><br>
<a href="functions/clebsch_gordan.html">clebsch_gordan</a><br>
<a href="functions/gaunt.html">gaunt</a><br>
<a href="functions/wigner_6j.html">wigner_6j</a><br>
<a href="functions/racah.html">racah</a><br>
<a href="functions/wigner_9j.html">wigner_9j</a>
</p>
<a href="http://paulmasson.github.io/sagemath-docs/"
style="position: fixed; bottom: .5in; transform: translateX(5in)">sagemath-docs</a>
</body>
</html>