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Topic: Error function

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Airy function

Beta function

Gamma function

Logarithmic integral

Hyperbolic function

Riemann zeta function

Dirichlet series

Gudermannian function

Polynomial

Asymptotic expansion

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	Error function - Wikipedia, the free encyclopedia
		In mathematics, the error function (also called the Gauss error function) is a non-elementary function which occurs in probability, statistics and partial differential equations.
		The error function is essentially identical to the standard normal cumulative distribution function, denoted Î¦, as they differ only by scaling and translation.
		The integral defining the error function cannot be evaluated in closed form in terms of elementary functions, but the integrand may be expanded in a power series and integrated term by term.
	en.wikipedia.org /wiki/Error_function (420 words)

	Gaussian, Error and Complementary Error function (Site not responding. Last check: 2007-10-20)
		The complementary error function equals one minus the error function yielding:
		The gaussian function, error function and complementary error function are frequently used in probability theory since the normalized gaussian curve represents the probability distribution with standard deviation
		Gaussian (upper) and the complementary error function on a semi-logarithmic scale.
	ece-www.colorado.edu /~bart/book/gaussian.htm (303 words)

	Backprop Learning Tool
		In (b)-(g), the function is shown as a dotted line, and the neural net approximation (based on the noisy samples shown as circles) is shown as the solid line.
		Here, the underlying function to be approximated is a sine wave, and is a perturbation term, producing small "blips" or kinks near the peaks of the sine curve.
		Similar to the previous case, the error plot is shown in (a), and the neural net approximation at various stages during learning are shown in (b)-(g).
	neuron.eng.wayne.edu /bpFunctionApprox/bpFunctionApprox.html (1695 words)

	The OSLO Error Function
		Unlike the GENII error function, the OSLO standard error function is based more on mathematics than optics, using rays laid out in a ring-spoke pattern to minimize the spot size or rms wavefront averaged over the field of view.
		Error function terms can be generated for all zoom configurations at once, or added to previously defined terms, thereby permitting customization of the default error function.
		The error function is thus somewhat less efficient than the GENII error function used in OSLO EDU and OSLO Light.
	www.sinopt.com /learning1/desnotes/osloerf.htm (950 words)

	What are combination, activation, error, and
		Error functions are also called "loss" functions, especially when the two usages of the term "error" would sound silly when used together.
		The average error is also called the "empirical risk." Using the average error instead of the total error is especially convenient when using batch backprop-type training methods where the user must supply a learning rate to multiply by the negative gradient to compute the change in the weights.
		A common approach to improving generalization error is regularization, i.e., trying to minimize an objective function that is the sum of the total error function and a regularization function.
	www.faqs.org /faqs/ai-faq/neural-nets/part2/section-1.html (1005 words)

	comp.ai.neural-nets FAQ, Part 2 of 7: Learning
		For continuous objective functions that lack derivatives on certain manifolds, such as ramp activation functions (which lack derivatives at the top and bottom of the ramp) and the least-absolute-value error function (which lacks derivatives for cases with zero error), subgradient methods can be used.
		Functions such as tanh or arctan that produce both positive and negative values tend to yield faster training than functions that produce only positive values such as logistic, because of better numerical conditioning (see ftp://ftp.sas.com/pub/neural/illcond/illcond.html).
		Radial combination functions are based on the Euclidean distance between the vector of inputs to the unit and the vector of corresponding weights.
	www.faqs.org /faqs/ai-faq/neural-nets/part2 (18470 words)

	The GENII Error Function
		The GENII error function, ncorporated in OSLO EDU, uses multiple items of data from each traced ray to build a compact error function that is well-suited to interactive design.
		The use of tolerances simplifies the interpretation of the error function by effectively establishing a common unit of measure for different types of operands.
		The default error function from GENII has a consistent set of targets and tolerances to control classical aberrations, i.e., it is assumed that the lens is rotationally symmetric.
	www.sinopt.com /learning1/desnotes/geniierf.htm (852 words)

	[No title] (Site not responding. Last check: 2007-10-20)
		The error function is used in training the network and in reporting the error.
		The city-block error function is less sensitive to outlying points than the sum-squared error function (where a disproportionate amount of the error can be accounted for by the worst-behaved cases).
		The cross-entropy error function is specially designed for classification problems, where it is used in combination with the logistic (single output) or softmax (multiple output) activation functions in the output layer of the network.
	www.statsoft.com /textbook/glose.html (2877 words)

	GNU Octave - Error Handling
		If the error message does not end with a new line character, Octave will print a traceback of all the function calls leading to the error.
		You should use this function for reporting problems errors that result from an improper call to a function, such as calling a function with an incorrect number of arguments, or with arguments of the wrong type.
		This function is intended to be used to print useful error messages for those functions that return numeric error codes.
	frippery.shadyhouse.com /doc/octave-htmldoc/octave_13.html (560 words)

	W3C DOM - Form error messages
		This page details a way of showing form validation error messages that is far superior to the silly alerts most forms use.
		function works pretty much as always (see the example form for an example).
		The function is handed a form field object and an error message.
	www.quirksmode.org /dom/error.html (611 words)

	MUG: Error Function (28.3.00)
		The complex error function (sometimes known as the plasma dispersion function) is defined as
		Joel A. The place to look at for questions like this is Abramowitz and Stegun, Handbook of Mathematical Functions, which has a chapter (7) on the error function and fresnel integrals.
		As exp(-t^2) is a regular function, its integral is independent of the path of the integration.
	www.math.rwth-aachen.de /MapleAnswers/979.html (286 words)

	PHP: trigger_error - Manual
		So, if you try to call a class function from within the error handler function, you will get 'Call to a member function on a non-object' error, even if this function works perfectly in the rest of your script.
		the biggest problem is that, with call time pass by reference deprecated, you can't manipulate the error handler class after assigning at as the error handler (and it appears not to be returned by the set_error_handler method as the old error handler).
		Use trigger_error() after you used set_error_handler() to register your own callback function which either logs or emails the error codes to you, and echo a simple friendly message to the user.
	www.php.net /manual/en/function.trigger-error.php (1059 words)

	Untitled Document: Error Reporting (Site not responding. Last check: 2007-10-20)
		This indicates that the function called is not implemented at all, either in the C library itself or in the operating system.
		For functions that operate on some object given in a parameter, such as a file descriptor or a port, it might instead mean that only that specific object (file descriptor, port, etc.) is unable to support the other parameters given; different file descriptors might support different ranges of parameter values.
		While decoding a multibyte character the function came along an invalid or an incomplete sequence of bytes or the given wide character is invalid.
	www.kdevelop.org /doc/libc/chapters_2.html (4118 words)

	PHP: mysql_error - Manual
		Most often, the output message from MySQL doesn't let you see enough of the query in the error message to let you see where your query went bad- it a missing quote, comma, or ( or) could have occured well before the error was detected.
		There is a bug in either documentation about error_reporting() or in mysql_error() function cause manual for mysql_error(), says: "Errors coming back from the MySQL database backend no longer issue warnings." Which is not true.
		This error ocurrs when a intent of a sql insert of no authorized user.
	www.php.net /manual/en/function.mysql-error.php (617 words)

	EXSLT - func:function
		It is an error if the namespace URI of the expanded name of the function is null - extension functions must not be in a null namespace.
		The type of the value passed into the function may be tested with the exsl:object-type function if it is supported.
		The template is instantiated with the context node from the expression in which the function was called as the current node, and with the context node list from the expression in which the function was called as the current node list.
	www.exslt.org /func/elements/function (629 words)

	erf, erfc, erfcx, erfinv, erfcinv (MATLAB Function Reference)
		The relationship between the inverse complementary error function
		For the error functions, the MATLAB code is a translation of a Fortran program by W. Cody, Argonne National Laboratory, NETLIB/SPECFUN, March 19, 1990.
		For the inverse of the error function, rational approximations accurate to approximately six significant digits are used to generate an initial approximation, which is then improved to full accuracy by one step of Halley's method.
	matlab.snl.salk.edu /ref/erf.html (206 words)

	Appendix C: WinSock Error Reference (continued)
		This error signifies that an attempt was made to access a file (or, in some cases, a directory) in a way that is incompatible with the file's attributes.
		For example, the error can occur when an attempt is made to read from a file that is not open, to open an existing read-only file for writing, or to open a directory instead of a file.
		This error occurs when the sin_port value is zero in a sockaddr_in structure for connect() or sendto().
	www.sockets.com /err_lst1.htm (7420 words)

	Error Reporting
		Functions that can fail take a return location for a GError as their last argument.
		The rule is: after each error, you must either handle the error, or return it to the calling function.
		When implementing a function that can report errors, you may want to add a check at the top of your function that the error return location is either
	www.gtk.org /api/2.6/glib/glib-Error-Reporting.html (1328 words)

	Error Messages - The GNU C Library
		The library has functions and variables designed to make it easy for your program to report informative error messages in the customary format about the failure of a library call.
		but instead of returning the error message in a statically allocated buffer shared by all threads in the process, it returns a private copy for the thread.
		The GNU coding standard, for instance, requires error messages to be preceded by the program name and programs which read some input files should should provide information about the input file name and the line number in case an error is encountered while reading the file.
	www.gnu.org /software/libc/manual/html_node/Error-Messages.html (1394 words)

	NESC0601: ERF/ERFC, Calculation of Error Function, Complementary Error Function, Probability Integrals
		In the first region the error function is computed directly and
		error function is computed directly and the error function is
		The range of the error function is (-1,1).
	www.nea.fr /abs/html/nesc0601.html (297 words)

	Lab 11. Error function (Site not responding. Last check: 2007-10-20)
		Assume that we are writing a mathematical handbook for engineers and need to produce a table of values for the error function, erf.
		An important function in statistics is the area under the standard normal curve, known as the error function, or erf.
		Use the trapz function that we used in class; if you've forgotten how to use it, type help trapz.
	www.duke.edu /~loeb/fall.1999/lab11.html (168 words)

	PHP: fsockopen - Manual (Site not responding. Last check: 2007-10-20)
		The reason for this is because UDP is a "connectionless" protocol, which means that the operating system does not try to establish a link for the socket until it actually needs to send or receive data.
		You may be able to speed this function up by using an IP address instead of a domain.
		That way it verifies the servers existens and calculate the round trip time, which is the essential function of ping.
	us3.php.net /function.fsockopen (2747 words)

	erf(), erff(), erfc(), erfcf() -- error function operators
		function computes the error function of x, defined as:
		function calculates the complementary error function of x ; that is
		On success, these functions return the value of the error function as defined above.
	www.mkssoftware.com /docs/man3/erf.3.asp (61 words)

	Untitled Document - Error Function (Site not responding. Last check: 2007-10-20)
		The error function is described in Abramowitz & Stegun, Chapter 7.
		The functions in this section are declared in the header file
		These routines compute the error function erf(x) = (2/\sqrt(\pi)) \int_0^x dt \exp(-t^2).
	www.ugcs.caltech.edu /info/gsl/specfunc-erf_1.html (56 words)

	inreg_set_last_error Function (Site not responding. Last check: 2007-10-20)
		If key is omitted or integer equal to 0 (zero), winreg_set_last_error() changes contents of module error variable which receives the error code everytime an exported function fails independently on used key.
		In case the error code could not be attached to given key, the function fails and returns FALSE.
		No error code is modified because of this failure.
	winreg.wz.cz /manual/set_last_error.htm (271 words)

	ACC97: InputBox Error: "Function Isn't Available in Expressions"
		You can use a parameter in the query in place of the InputBox() function.
		Click More Help in the error message box and note that you receive the second error message.
		For more information about the InputBox() function, search the Help Index for "InputBox function," or ask the Microsoft Access 97 Office Assistant.
	support.microsoft.com /default.aspx?scid=kb;EN-US;164239 (448 words)

	Voigt and Complex Error Function
		Several computational procedures for the Voigt function and complex error function are discussed and compared with respect to accuracy and running time.
		For applications involving least-squares-fitting the evaluation of the complex error function provides an efficient way to calculate both the Voigt function and its partial derivatives.
		An efficient method for evaluation of the complex probability function: the Voigt function and its derivatives;
	www.op.dlr.de /ne-oe/ir/voigt.html (561 words)

	PHP v5.0 - soap - PHP Web Site Sources (Site not responding. Last check: 2007-10-20)
		do_soap_call(this_ptr, function, function_len, arg_count, real_args, return_value, soap_action, uri, soap_headers, output_headers TSRMLS_CC);
		Find if the function being called is already defined...
		Fatal error : Allowed memory size of 8388608 bytes exhausted (tried to allocate 37 bytes) in /home/virtual/site4/fst/var/www/html/php500/page.htm on line 123
	www.php-websource.com /php500/source-soap.htm (2656 words)

	PHP: error_log - Manual
		The error message that should be logged.
		This message type uses the same internal function as
		quoth the docs: "This message type uses the same internal function as mail() does."
	us3.php.net /function.error-log (378 words)

	osCommerce Community Support Forums > Fatal Error function: glob() (Site not responding. Last check: 2007-10-20)
		Jan 18 2005, 01:13 PM duno about the cc-show constib but you might have a error cause i dont know of a function called glob.
		if you find in your readme a function called global or simular you need to change it in the file where you have the error corresponding to the function!;
		duno about the cc-show constib but you might have a error cause i dont know of a function called glob.
	forums.oscommerce.com /lofiversion/index.php/t131239.html (1195 words)

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