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  1. Main Page (3,257 bytes)
    26: ...ddeeva Package]]: computes the [[w:error function|error functions]] of complex arguments (via the [[w:Fad...
  2. H5utils (8,151 bytes)
    37: ...n error like <code>/usr/include/H5public.h:53:20: error: mpi.h: No such file or directory</code>. This c...
  3. MPB Introduction (14,329 bytes)
    22: ...ear as two eigenvalues in the result. Second, the error in the frequency in an iterative eigensolver typi...
  4. MPB User Reference (74,624 bytes)
    114: ...ive eigenvalues); if it is not, MPB exits with an error. (This does ''not'' imply that all of the entries...
    254: ... a case of broken symmetry, MPB will exit with an error.
    266: ...be even through z=0 and odd through y=0. It is an error to specify incompatible constraints (e.g. <code>(...
    300: ...n...it does not have anything to do with e.g. the error from finite grid <code>resolution</code>.)
  5. MPB Developer Information (13,524 bytes)
    33: ...s something of a black art with lots of trial and error.
    61: ...de>, which defines a <code>CHECK(''condition'', ''error-message'')</code> macro that is used extensively ...
  6. Libctl User Reference (16,909 bytes)
    71: ...this function after operations that may have some error due to the finite precision of floating-point num...
    137: ... of the function and an estimate of the numerical error in the derivative, respectively.
    138: ...nction evaluations; the second derivative and its error are then obtained by <code>(derivative-d2f result...
    139: ...e>derivative-d2f</code>). (They don't provide the error estimate, however, or the ability to compute firs...
    142: ...e maximum number of evaluations is met (note that error estimates are only approximate, though).
  7. Libctl Developer Experience (16,625 bytes)
    41: ...the user, it will fail the type-constraint and an error will be flagged.) Such behavior is deprecated, ho...
  8. Harminv release notes (2,934 bytes)
    34: ...ailable, to reduce accumulation of floating-point errors while computing Fourier/Z transforms.
    40: * Corrected bug in frequency-error calculation; thanks to V. A. Mandelshtam for help...
    43: ...-E/-a/-A/-Q</code> options to screen outputs with error/amplitude/Q too large/small/small, respectively.
  9. Libctl release notes (11,884 bytes)
    22: ...lts are floating-point to prevent type-conversion errors.
    34: ...erivative routine, which didn't converge when the error was exactly zero.
  10. MPB release notes (22,344 bytes)
    26: ... potrf'' errors that were arising due to roundoff errors preventing matrix inversion.
    27: ...at-kpoint</code> to avoid sensitivity to roundoff errors.
    64: * Eliminated floating-point error on Alpha for homogeneous structure. Thanks to F. ...
    144: * Now gives an error if k-point or dielectric tensor is incompatible w...
    148: ... arguments ("thunks") correctly (crashing with an error message). Thanks to Michelle Povinelli for the bu...
  11. MPB on Debian (771 bytes)
    2: The most tedious and error-prone part of MPB is installing all of the [[MPB ...
  12. Materials in Meep (13,938 bytes)
    44: ...tability criterion automatically and halt with an error message if it is violated.
  13. Meep Tutorial (50,023 bytes)
    262: ...idth, the spectral power is so low that numerical errors make the computed fluxes useless.
    365: ...v0:, frequency, imag. freq., Q, |amp|, amplitude, error
    374: ...nal processing'', and tells you nothing about the errors from finite resolution, finite cell size, and so...
    376: ...frequency is <math>10^{-7}</math> (with an actual error of about <math>10^{-6}</math>, from below)! In g...
    404: ...and <math>Q</math> estimates, with a much smaller error estimate&mdash;this is not too strange, since by ...
  14. Meep Reference (109,261 bytes)
    40: ...on; (with diminishing returns for the actual FDTD error).
    391: ...n</code> explicitly (not doing so will lead to an error).
    442: ...o machine (a difference much bigger than roundoff error); in this case you can call <code>(meep-round-tim...
    624: ...pectively. Note that, neglecting discretization errors, all near-field surfaces that enclose the same o...
    745: ...t of tuples holding the frequency, amplitude, and error of the modes. Given one of these tuples, you can...
  15. Meep Tutorial/Band diagram, resonant modes, and transmission in a holey waveguide (32,880 bytes)
    188: ...v0:, frequency, imag. freq., Q, |amp|, amplitude, error
    210: ...v0:, frequency, imag. freq., Q, |amp|, amplitude, error
    293: ...light cone is very small, due to either numerical error or the finite computational cell size (some tiny ...
    297: ...he cell being too small, or the signal-processing error being too large (either because the run is too sh...
    320: ...<math>\omega=0.8996-0.0021i</math>, or about a 2% error at the lower resolution.
  16. Meep Tutorial/Ring resonator in cylindrical coordinates (10,606 bytes)
    72: ...v0:, frequency, imag. freq., Q, |amp|, amplitude, error
    81: ...ode> for the cylindrical case. We can bring this error down by running with a narrower bandwidth source,...
  17. Meep Tutorial/Material dispersion (6,894 bytes)
    80: ... wrong with Meep, and this is ''not'' a numerical error; the problem is simply that we are comparing appl...
  18. Meep Tutorial/Local density of states (8,171 bytes)
    13: ...ll demonstrate, agree (to within a discretization error), verifying the LDOS analysis above, and <math>Q/...
  19. Meep release notes (15,091 bytes)
    90: ...grams that made them overly sensitive to roundoff errors and possibly fail depending on the compiler. (Ne...
    141: ... <code>output-tot-pwr</code> to stop Meep with an error message; thanks to Vyacheslav Sokolov for the bug...
    142: ...code> step functions less susceptible to rounding errors; thanks to L. Le Guyader for the bug report.
    153: ...umber of pixels. Previously, Meep exited with an error in this case, whereas now it simply adds an extra...
  20. Meep field-function examples (5,391 bytes)
    43: ...ng''', and will cause Meep to exit with a strange error message. The reason is that the step functions y...
  21. The run function is not a loop (3,835 bytes)
    21: ...will output "Hello world!" ''once'', then give an error. What is going on? The problem is that you are ...
    38: ...</code> as if it were a function, which causes an error because <code>(print ...)</code> does not return ...
  22. Synchronizing the magnetic and electric fields (4,616 bytes)
    5: ...t/2)</math> is slightly off from this &mdash; the error is of order <math>O(\Delta t)</math>, or first-or...
  23. NLopt release notes (13,986 bytes)
    67: ...ch caused erroneous <code>ROUNDOFF_LIMITED</code> error codes to be returned; thanks to Alexander Riess f...
    103: * Return an <code>NLOPT_INVALID_ARGS</code> error if more than ''n'' equality constraints are added...
    104: ...ld cause spurious <code>NLOPT_INVALID_ARGS</code> errors when adding constraints under rare circumstances...
    145: * Return an error in global-search algorithms if the domain is not ...
    167: ...in which optimization breaks down due to roundoff errors, in which case it is possible that useful result...
  24. NLopt Introduction (22,408 bytes)
    47: ...they are also notoriously susceptible to roundoff errors unless you are very careful. On the other hand,...
    92: ...atrix ''N'', because [[w:Round-off error|rounding errors]] will tend to make the matrix ''A'' less singul...
    102: ...r the error in the solution instead of the actual error.
    110: ...hese would be the maximum fractional and absolute error compared to the exact minimum function value, but...
    112: ...possible for these to be tolerances on the actual error &Delta;'''x''' compared to the (unknown) minimum ...
  25. NLopt Algorithms (41,811 bytes)
    25: ...ause the latter uses only a crude estimate of the error in the function values, and moreover the estimate...
    291: ...unction and gradient computations. Since roundoff errors sometimes pushed SLSQP's parameters slightly out...
  26. NLopt Deprecated API Reference (36,633 bytes)
    82: Error codes (negative return values):
    86: ...returned minimum may still be useful. (e.g. this error occurs in NEWUOA if one tries to achieve a tolera...
  27. NLopt Tutorial (30,157 bytes)
    77: ...ance is a good idea for many algorithms lest tiny errors prevent convergence. Speaking of convergence te...
    93: ...ED</code>, indicating a breakdown due to roundoff errors, the minimum found may still be useful and you m...
    107: ... usually try to be conservative in estimating the error.)
    154: ...ode> instead of arrays, and exceptions instead of error codes. NLopt provides a C++ header file <code>nl...
    179: ...++ functions will throw exceptions if there is an error, which you can <code>catch</code> normally.
  28. Cubature (Multi-dimensional integration) (19,124 bytes)
    46: ... size_t maxEval, double reqAbsError, double reqRelError,
    47: error_norm norm,
    54: ...ed |error| is less than REQABSERROR (the absolute error requested) '''or''' when the
    55: ...| (the relative error requested). (Either of the error tolerances can be set to '''zero to ignore''' it....
    57: ...RM specifies the norm that is used to measure the error and determine convergence properties.
  29. NLopt Reference (29,913 bytes)
    38: ...>nlopt_opt</code> object (or NULL if there was an error, e.g. out of memory), given an <code>algorithm</c...
    89: ...ort unconstrained optimization and will return an error in <code>nlopt_optimize</code> if you do not supp...
    111: ...ce is advisable to reduce sensitivity to rounding errors.
    113: ...Values|return value]] is negative if there was an error, e.g. an invalid argument or an out-of-memory sit...
    199: ...ample, if the user presses Ctrl-C, or there is an error of some sort in the objective function. (This is...
  30. NLopt C-plus-plus Reference (19,774 bytes)
    12: * Use of exceptions instead of returning error codes, and exception-safety in the objective/cons...
    39: If there is an error in the constructor (or copy constructor, or assig...
    168: ...ample, if the user presses Ctrl-C, or there is an error of some sort in the objective function. You can ...
    190: ...pt Reference#Error codes (negative return values)|Error codes (negative return values)]] in the C API are...
    192: ;<code>std::runtime_error</code>
  31. NLopt Python Reference (17,987 bytes)
    26: ...r copy constructor, or assignment), a <code>MemoryError</code> exception is thrown.
    169: ...ample, if the user presses Ctrl-C, or there is an error of some sort in the objective function. You can ...
    191: ...pt Reference#Error codes (negative return values)|Error codes (negative return values)]] in the C API are...
    193: ;<code>RunTimeError</code>
    195: ;<code>ValueError</code>
  32. NLopt Matlab Reference (10,167 bytes)
    23: ...e>nlopt_optimize</code> as the initial guess. An error will occur if you use vectors of inconsistent len...
  33. NLopt Guile Reference (15,780 bytes)
    25: If there is an error in the constructor (or copy constructor, or assig...
    159: ...pt Reference#Error codes (negative return values)|Error codes (negative return values)]] in the C API are...
    161: ;<code>runtime-error</code>
    168: :Halted because roundoff errors limited progress, equivalent to <code>NLOPT_ROUN...
    174: .../code> in <code>catch</code>), and prints out the error return code:
  34. NLopt Fortran Reference (19,582 bytes)
    43: ...nonzero after nlo_create, so you can check for an error by checking whether <code>opt</code> is zero (if ...
    190: ...ample, if the user presses Ctrl-C, or there is an error of some sort in the objective function. In this...
  35. Faddeeva Package (17,420 bytes)
    1: ... Julia) to compute the various [[w:Error function|error functions]] of arbitrary [[w:Complex number|compl...
    3: ...(-iz) \! </math>, where erfc is the complementary error function.
    4: * '''erf''', the [[w:Error function|error function]] <math>\mathrm{erf}(z) \!</math>
    5: * '''erfc''', the complementary error function <math>\mathrm{erfc}(z) = 1 - \mathrm{erf...
    6: * '''erfcx''', the scaled complementary error function <math>\mathrm{erfcx}(z) = e^{z^2} \mathr...

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