Changeset 83406
 Timestamp:
 Mar 11, 2013, 12:18:46 PM (5 years ago)
 File:

 1 edited
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trunk/libs/math/doc/sf_and_dist/bessel_jy.qbk
r83399 r83406 306 306 T v, // Floatingpoint value for Jv. 307 307 int start_index, // 1based index of first zero. 308 unsigned number_of_zeros, // How many zeros to generate 309 OutputIterator out_it); // Destination for zeros 308 unsigned number_of_zeros, // How many zeros to generate. 309 OutputIterator out_it); // Destination for zeros. 310 310 311 311 template <class T, class OutputIterator> … … 314 314 int start_index, // 1based index of zero. 315 315 unsigned number_of_zeros, // How many zeros to generate 316 OutputIterator out_it); // Destination for zeros 317 318 There are also versions which allow control of the 319 __policy_section for error handling and precision. 320 321 template <class T> 316 OutputIterator out_it); // Destination for zeros. 317 318 There are also versions which allow control of the __policy_section for error handling and precision. 319 320 template <class T> 322 321 T cyl_bessel_j_zero( 323 322 T v, // Floatingpoint value for Jv. 324 323 int m, // 1based index of zero. 325 const Policy&); // Policy to use 324 const Policy&); // Policy to use. 326 325 327 326 template <class T> … … 329 328 T v, // Floatingpoint value for Jv. 330 329 int m, // 1based index of zero. 331 const Policy&); // Policy to use 330 const Policy&); // Policy to use. 332 331 333 332 … … 336 335 T v, // Floatingpoint value for Jv. 337 336 int start_index, // 1based index of first zero. 338 unsigned number_of_zeros, // How many zeros to generate 339 OutputIterator out_it, // Destination for zeros 340 const Policy& pol); // Policy to use 337 unsigned number_of_zeros, // How many zeros to generate. 338 OutputIterator out_it, // Destination for zeros. 339 const Policy& pol); // Policy to use. 341 340 342 341 template <class T, class OutputIterator> … … 344 343 T v, // Floatingpoint value for Jv. 345 344 int start_index, // 1based index of zero. 346 unsigned number_of_zeros, // How many zeros to generate 347 OutputIterator out_it, // Destination for zeros 348 const Policy& pol); // Policy to use 345 unsigned number_of_zeros, // How many zeros to generate. 346 OutputIterator out_it, // Destination for zeros. 347 const Policy& pol); // Policy to use. 349 348 350 349 [h4 Description] … … 372 371 cyl_bessel_j_zero(v, 1); 373 372 374 returns the first zero of Bessel J, 375 376 Passing a start_index <= 0 377 378 cyl_bessel_j_zero(v, 0); 379 380 results in a __domain_error being raised. 373 returns the first zero of Bessel J. 374 375 Passing an index of zero results in a `std::domain_error` being raised. 381 376 382 377 The order `v` of `J` can be positive, negative and zero for the `cyl_bessel_j` … … 430 425 In particular, 431 426 432 [emquad] ['d/[sub dx] ['J[sub [nu]](x)] = ['J[sub [nu]1](x)]  [nu] /[sub x] [sdot] J[sub [nu]](x)]433 434 [emquad] ['d/[sub dx] ['Y[sub [nu]](x)] = ['Y[sub [nu]1](x)]  [nu] /[sub x] [sdot] Y[sub [nu]](x)]427 [emquad] ['d/[sub dx] ['J[sub [nu]](x)] = ['J[sub [nu]1](x)]  [nu] J[sub [nu]](x)] / x 428 429 [emquad] ['d/[sub dx] ['Y[sub [nu]](x)] = ['Y[sub [nu]1](x)]  [nu] Y[sub [nu]](x)] / x 435 430 436 431 Enumeration of the rank of a root (in other words the index of a root)
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