Pseudo biterrorratio PBER in adaptive high frequency HF radio , is a biterrorratio derived by a majority decoder that processes redundant transmissions. Note In adaptive HF radio automatic link establishment , PBER is determined by the extent of error correction, such as by using the fraction of non unanimous votes in the 2 of 3 majority decoder. FS1037C MS188 Category Engineering ratios Category Error detection and correction ... more details
. Measuring the biterrorratio helps people choose the appropriate forward error correction codes ... code in circuits optioned for B8ZS. Biterror rate tester A biterror rate tester BERT , also known as a biterrorratio tester citation needed date November 2010 or biterror rate test solution ... Errored second Viterbi Error Rate References Reflist FS1037C MS188 DEFAULTSORT BitErrorRatio Category ... Bitfehlerh ufigkeit es BitErrorRatio fr Taux d erreur ko id Biterror rate it BitErrorRatio he Biterrorratio ja pl Stopa b d w pt Taxa de bits errados si su Biterrorratio ... communication interference , distortion or bit synchronization errors. The biterror rate or biterrorratio BER is the number of bit errors divided by the total number of transferred bits during a studied time interval. BER is a unitless performance measure, often expressed as a percentage . The biterror probability p sub e sub is the expectation value of the BER. The BER can be considered as an approximate estimate of the biterror probability. This estimate is accurate for a long time interval and a high number of bit errors. Example As an example, assume this transmitted bit sequence 0 1 1 0 0 0 1 0 1 1, and the following received bit sequence 0 u 0 u 1 0 u 1 u 0 1 0 u 0 u 1, The number ... other. For small biterror probabilities, this is approximately math p p approx p eN. math Similar measurements ... of error burst non bursty bit errors on the transmission channel Additive white gaussian noise AWGN ... PSK BER curves.svg thumb right 280px Biterror rate curves for BPSK , QPSK , 8 PSK and 16 PSK ... , energy per bit to noise power spectral density ratio , or Es N0 energy per modulation symbol to noise ... erfc left sqrt frac E N o right . math Biterror rate test BERT or biterror rate test is a testing ...In digital transmission , the number of bit errors is the number of received bit s of a data stream over ... more details
The residual biterror rate RBER is a receive quality metric in digital transmission , one of several used to quantify the accuracy of the received data. ref cite book last Smith first David Russell title Digital transmission systems url http books.google.ca books?id 4IASeihofskC&pg PA48&dq 22residual biterror rate 22&hl en&ei ffb8TMbhG4uhnwfA1LjJCg&sa X&oi book result&ct result&resnum 4&ved 0CDkQ6AEwAzgK v onepage&q 22residual 20bit 20error 20rate 22&f false year 2004 publisher Springer isbn 1402075871 pages 47 48 ref Overview In digital transmission schemes, including cellular telephony systems such as GSM , a certain percentage of received data will be detected as containing errors, and will be discarded. The likelihood that a particular bit will be detected as erroneous is the biterror rate . The RBER characterizes the likelihood that a given bit will be erroneous but will not be detected as such ref cite book last1 Crols first1 Jan last2 Steyaert first2 Michiel title CMOS wireless transceiver design url http books.google.ca books?id YFj97fOjSHkC&pg PA108&dq rber gsm&hl en&ei cPD8TI3YIoeTnwf2tvnICg&sa X&oi book result&ct result&resnum 3&ved 0CDMQ6AEwAg v onepage&q rber 20gsm&f false year 1997 publisher Springer isbn 0792399609 ref Applications When digital communication systems are being designed, the maximum acceptable residual biterror rate can be used, along with other quality metrics, to calculate the minimum acceptable signal to noise ratio in the system. This in turn provides minimum requirements for the physical and electronic design of the transmitter and receiver. ref cite book last1 Crols first1 Jan last2 Steyaert first2 Michiel title CMOS wireless transceiver design url http books.google.ca books?id YFj97fOjSHkC&lpg PA108&dq rber 20gsm&pg PA109 v onepage&q rber 20gsm&f false year 1997 publisher Springer isbn 0792399609 page 109 ref References references Category Error detection and correction compu network stub measurement stub ... more details
The modulation errorratio or MER is a measure used to quantify the performance of a digital radio transmitter or receiver in a communications system using digital modulation such as quadrature amplitude modulation QAM . A signal sent by an ideal transmitter or received by a receiver would have all Constellation diagram constellation points precisely at the ideal locations, however various imperfections in the implementation such as Noise electronic noise , low image rejection ratio , phase noise , carrier suppression , distortion , etc. or signal path cause the actual constellation points to deviate from the ideal locations. Transmitter MER can be measured by specialised equipment, which demodulation demodulates the received signal in a similar way to how a real radio demodulator does it. Demodulated and detected signal can be used as a reasonably reliable estimate for the ideal transmitted signal in MER calculation. Definition An error vector is a Vector geometric vector in the I Q plane ... between the two points is its magnitude. The modulation errorratio is equal to the ratio of the root mean square RMS power of the error vector to the power of the reference. It is defined in Decibel dB as math mathrm MER dB 10 log 10 left P mathrm signal over P mathrm error right math where P sub error sub is the RMS power of the error vector, and P sub signal sub is the RMS power of ideal transmitted ... sqrt P mathrm error over P mathrm signal 100 math with the same definitions. MER is closely related to error vector magnitude EVM , but MER is calculated from the average power of the signal. MER is also closely related to signal to noise ratio . MER includes all imperfections including deterministic amplitude imbalance , quadrature error and distortion , while noise is random by nature. See also Error vector magnitude Carrier to Noise Ratio Signal to noise ratio References ETSI technical report ... modes Category Radio electronics Category Telecommunications terms es Tasa de Error de Modulaci n ... more details
at Gare Montparnasse Montparnasse , France , 1895 The word error entails different meanings and usages relative to how it is conceptually applied. The concrete meaning of the Latin word error is wandering or straying . Unlike an illusion , an error or a mistake can sometimes be dispelled through knowledge ... moscow.jpg right thumbnail One error and its catastrophic results Napoleon s invasion of Russia Retreat ... between error and mistake as follows quote An error is a deviation from accuracy or correctness. A mistake is an error caused by a fault the fault being misjudgment, carelessness, or forgetfulness ... be an error. The first time it would be an error. The second time it would be a mistake since I should ... norms . See deviance . Gaffes and faux pas can be labels for certain instances of this kind of error ... class value judgments about what linguistic forms should and should not be used. See also Error analysis ... the gaffe in a developmental process that can culminate in stuttering. Medicine See medical error for a description of error in medicine. Science and engineering Image TrafficSignIsraelError.JPG .... In statistics , an errors and residuals in statistics error or residual is not a mistake but rather ... correct value. See also Observational error . In science and engineering in general an error is defined as a difference between the desired and actual performance or behavior of a system ... system s, in which error is defined as the difference between a set point and the process value. An example ... is controlled by the difference the error between the thermostat setting and the sensed air temperature ... avoid the effects of error, whether Hanlon s Razor unintentional or not . Such errors in a system ... error , which includes cognitive bias . Human factors engineering is often applied to designs in an attempt to minimize this type of error by making systems more forgiving or error tolerant . In computational ... the error &mdash the inaccuracy in x &mdash and Residual numerical analysis residual the inaccuracy ... more details
Image Holsteiner 0001.jpg right thumb A horse correctly on the bit with a soft contact, due to impulsion causing him to raise his back. The phrases on the bit , behind the bit and above the bit are equestrianism ... Bit horse bit . ref name AoR The Art of Classical Riding On the Bit , ArtOfRiding.com, 2010, web http www.artofriding.com articles onthebit.html AoR Bit . ref A position on the bit is submissive to the rider s riding aids rein aids , given through the bit. When a horse is behind the bit , the head is tucked too far down and rearward. ref name AoR If above the bit , then the head is too high. Technique Being on the bit requires the horse to engage the hips and raise the back, which it cannot do when ... placed, on the bit, by creating impulsion pushing power ref name AoR from the rider s riding aids driving aids , and then containing this forward energy in the hands, via the reins and bit. Impulsion ... contact with the bit, without resistance results in the horse flexing at the poll horse poll , maintaining an elastic contact that is equal on both sides of the bit. The horse stretches over its topline and follows the bit s contact forward and down. Being on the bit is more than just a fancy head position seesawing on the bit causes tension throughout the body. On the bit is synonymous with on the aids ... and follow the bit downward. The horse does not have to have its head perfectly perpendicular .... Common faults Image Wellen negativ.jpg right thumb How coming above the bit causes the back to drop ... the bit A horse is not on the bit only because its head is held at the vertical, or perpendicular to the ground, as a horse can maintain this headset while remaining stiff, heavy on the bit, and unresponsive ... is truly on the bit, and many novice riders achieve the vertical headset, while losing the impulsion ... on the bit, and will usually either lean on the rider s hands, placing too much pressure on the bit ... the bit . This makes the contact heavy, and the aids can not come throughness through . Some horses ... more details
bit widths A bit a contraction of binary digit is the basic unit of information in computing and telecommunication ... polarization , the orientation of reversible double stranded DNA , etc. In computing , a bit ... device or computer program program . The length of a binary number may be referred to as its bit length . In information theory , one bit is typically defined as the uncertainty of a binary random ... bit or qubit is a quantum mechanics quantum system that can exist in quantum superposition superposition of two bit values, true and false . The symbol for bit, as a unit of information, is either simply bit recommended by the ISO IEC 80000 ISO IEC standard 80000 13 2008 or lowercase b recommended ... each position could be either punched through or not, thus potentially carrying one bit of information ... and coding . McGraw Hill. ref Claude E. Shannon first used the word bit in his seminal 1948 paper ... a Bell Labs memo on 9 January 1947 in which he contracted binary digit to simply bit . Interestingly ... Bits can be implemented in many forms. In most modern computing devices, a bit is usually represented ... devices, such as Jacquard s loom or Babbage s Analytical Engine , a bit was often stored as the position ... disk s, where a bit was represented by the polarity of magnetism magnetization of a certain area ... memory , the two values of a bit may be represented by two levels of electric charge stored in a capacitor . In programmable logic array s and certain types of read only memory , a bit may be represented ... disc s, a bit is encoded as the presence or absence of a microscopic pit on a reflective surface. In one ... therein. If the two possible values of one bit of storage are not equally likely, that bit of storage will contain less than one bit of information. Indeed, if the value is completely predictable ... should be bit , and this should be used in all multiples, such as kbit for kilobit . ref name nist National .... In telecommunications including computer network s , data transfer rates are usually measured in bit ... more details
The A S ratio is the proportion of the brain not directly connected with either receptor inputs or motor outputs, where A is the association cortex and S is the sensory cortex . The A S ratio can be measured for any organism with a brain, and the higher the A S ratio, the more complex the brain is. It was proposed by Donald Olding Hebb Donald Hebb in 1949. References cite book last Lerner first Dr. Richard M. title Concepts and Theories of Human Development year 2002 publisher L. Erlbaum location Mahwah, N.J. isbn 0585387362 9780585387369 oclc 49569701 DEFAULTSORT A S Ratio Category Central nervous system Category Cerebrum Category Neuroanatomy neuroanatomy stub ... more details
Otheruses4 the mathematical concept the Swedish institute Ratio Institute the academic journal Ratio journal the philosophical concept Reason the legal concept Ratio decidendi File Aspect ratio 4x3.svg thumb The ratio of width to height of standard definition television . In mathematics , a ratio is a relationship ... an integer . ref Penny Cyclopedia, p. 307 ref In layman s terms a ratio represents, simply, for every ... of socks for every pair of shoes then the ratio of shoes socks would be 1 10 and the ratio of socks shoes would be 10 1 Notation and terminology The ratio of numbers A and B can be expressed as ref New International Encyclopedia ref the ratio of A to B A is to B A B A rational number which is the quotient ... to trace the origin of the concept of ratio, since the ideas from which it developed would .... 477 ref However, it is possible to trace the origin of the word ratio to the Ancient Greek logos . Early translators rendered this into Latin as wikt ratio Latin ratio reason as in the word rational ... Medieval writers used the word proportio proportion to indicate ratio and proportionalitas proportionality ... from earlier sources. The Pythagoreanism Pythagoreans developed a theory of ratio and proportion ..., nearly word for word, as definitions 3 and 5 in book VII. Definition 3 describes what a ratio is in a general ... p682. ref Euclid defines a ratio to be between two quantities of the same type , so by this definition the ratios of two lengths or of two areas are defined, but not the ratio of a length and an area. Definition 4 makes this more rigorous. It states that a ratio of two quantities exists when there is a multiple of each which exceeds the other. In modern notation, a ratio exists between quantities ... a rational value to a ratio, it is possible to compare a ratio with a rational number. Specifically, given two quantities, p and q , and a rational number m n we can say that the ratio of p to q ... ratio are proportional or in proportion . Euclid uses the Greek analogon , this has the same ... more details
Refimprove date December 2009 The error floor is a phenomenon encountered in modern iterated sparse graph code sparse graph based error correcting codes like LDPC codes and turbo codes . When the biterrorratio BER curve is plotted for conventional codes like Reed Solomon codes under algebraic decoding or for convolutional codes under Viterbi decoder Viterbi decoding , the curve steadily decreases as the signal to noise ratio SNR condition becomes better. For LDPC codes and turbo codes there is a point after which the curve does not fall as quickly as before, in other words, there is a region in which performance flattens. This region is called the error floor region . The region just before the sudden drop in performance is called the waterfall region . ref Ryan, W. E. and Lin, S. Channel Codes Classical and Modern , Cambridge University Press ref Error floors are usually attributed to low weight codewords in the case of Turbo codes and trapping sets or near codewords in the case of LDPC codes . ref Thomas Richardson Error floors of LDPC codes . http ldpccodes.com papers ErrorFloors.pdf ref References Reflist DEFAULTSORT Error Floor Category Electronics terms Compsci stub ... more details
wave s and sawtooth wave s. For example, a 16 bit ADC has a maximum signal to noise ratio of 6.02 ... In this case a 16 bit ADC has a maximum signal to noise ratio of 98.09 dB. The 1.761 difference in signal ... value is called quantization error or quantization distortion . This error is either due to rounding or truncation. The error signal is sometimes considered as an additional random signal called quantization noise because of its stochastic behaviour. Quantization error models In the typical case, the original signal is much larger than one Least significant bit LSB . When this is the case, the quantization error is not significantly correlated with the signal, and has an approximately uniform distribution continuous uniform distribution . In the rounding case, the quantization error has a mean ... the error has a non zero mean of math scriptstyle frac 1 2 mathrm LSB math and the RMS value is math scriptstyle frac 1 sqrt 3 mathrm LSB math . In the eight bit ADC example, the RMS rounding error represents 0.113 of the full signal range. At lower amplitudes the quantization error becomes dependent ... band. In order to make the quantization error independent of the input signal, noise with an amplitude of 2 least significant bits is added to the signal. This slightly reduces signal to noise ratio, but, ideally ... Image quanterr.png thumb 300px Quantization noise for a 2 bit ADC operating at infinite sample rate . The difference between the blue and red signals in the upper graph is the quantization error, which ... model of quantization error introduced by quantization signal processing quantization in the Analog ... systems and Digital signal processing signal processing . It is a rounding error between the analog ... error is uniformly distributed between 1 2 LSB and 1 2 LSB, and the signal has a uniform distribution covering all quantization levels, the Signal to quantization noise ratio SQNR can be calculated ... in those fields. This is a different manifestation of quantization error, in which theoretical ... more details
Framing error can refer to the following Generally, a framing error is the result of starting to read a sequence of data at the wrong point. In serial communications , a framing error is the result of reading a string of symbols which are grouped in blocks at the wrong starting point. The symbols are bits and the blocks are bytes, ten bits in asynchronous transmission and eight in synchronous. A framing error in an asynchronous stream usually recovers quickly, but a framing error in a synchronous stream produces gibberish at the end of the packet. Framing errors can be detected with parity bit s. In genetics , a frameshift mutation framing error also called a frameshift or a frameshift mutation is a mutation that inserts or deletes a single nucleotide from a DNA sequence. Due to the triplet nature of gene expression , the insertion deletion can disrupt the grouping of the codons, resulting in a completely different translation from the original. disambig ... more details
In finance , tracking error is a measure of how closely a portfolio follows the index to which it is benchmarked. The most common measure is the root mean square of the difference between the portfolio and index returns. Many portfolios are managed to a benchmark, normally an index. Some portfolios are expected to replicate, before trading and other costs, the returns of an index exactly an index fund , while others are expected to actively manage the portfolio by deviating slightly from the index in order to generate active returns or to lower transaction costs. Tracking error also called active risk is a measure of the deviation from the benchmark the aforementioned index fund would have a tracking error close to zero, while an actively managed portfolio would normally have a higher tracking error. Dividing portfolio active return by portfolio tracking error gives the information ratio , which is a risk adjusted performance metric. Definition If tracking error is measured historically, it is called realised or ex post tracking error. If a model is used to predict tracking error, it is called ex ante tracking error. The former is more useful for reporting performance, whereas ex ante is generally used by portfolio managers to control risk. Various types of ex ante tracking error models exist, from simple equity models which use beta as a primary determinant to more complicated multi factor fixed income models. Formulas The ex post Tracking Error formula is the deviation of the active returns, ref Grinold, R. and Kahn, R., Active Portfolio Management , McGraw Hill, 1999 ref ... its original meaning. This volatility definition makes sense, however, if the tracking error is to be used in an information ratio . where math d b math is the difference between the portfolio return ... in the underlying index or benchmark. References Reflist Category Financial risk de Tracking Error fr Tracking error it Tracking error nl Tracking error sv Aktiv risk ... more details
In telecommunication , a burst error or error burst is a contiguous sequence of symbols, received over a data transmission channel communications channel , such that the first and last symbols are in error and there exists no contiguous subsequence of m correctly received symbols within the error burst . ref citation title Federal Standard 1037C url http www.its.bldrdoc.gov fs 1037 fs 1037c.htm ref The integer parameter m is referred to as the guard band of the error burst. The last symbol in a burst and the first symbol in the following burst are accordingly separated by m correct bits or more. The parameter m should be specified when describing an error burst. The length of a burst of biterror s in a Framing telecommunication frame is defined as the number of bits from the first error to the last, inclusive. Channel model The Gilbert Elliott model is a simple channel model introduced by Edgar Gilbert ref citation last Gilbert first E. N. authorlink Edgar Gilbert title Capacity of a burst noise channel journal Bell System Technical Journal volume 39 year 1960 pages 1253 1265 . ref and E. O. Elliott ref citation last Elliott first E. O. title Estimates of error rates for codes on burst noise channels journal Bell System Technical Journal volume 42 year 1963 pages 1977 1997 . ref widely used for describing burst error patterns in transmission channels, that enables simulations of the digital error performance of communications links. It is based on a Markov chain with two states G for good or gap and B for bad or burst . In state G the probability of transmitting a bit correctly is k and in state B it is h . Usually ref Lemmon, J.J. Wireless link statistical biterror model. US National Telecommunications and Information Administration NTIA Report 02 394 2002 ref , it is assumed that k 1 and Gilbert also assumed that h 0.5. References references External links http www.net.t labs.tu berlin.de papers HH GEMPLRTSI 08.pdf http bnrg.cs.berkeley.edu ... more details
Refimprove date December 2009 Instrument error refers to the combined accuracy and precision of a measuring instrument , or the difference between the actual value and the value indicated by the instrument error . Measuring instruments are usually calibration calibrated on some regular frequency against a frequency standard standard . The most rigorous standard is one maintained by a standards organization such as NIST in the United States , or the International Organization for Standardization ISO in Europe an countries. However, in physics precision, accuracy, and error are computed based upon the instrument and the measurement data. Precision is to 1 2 of the granularity of the instrument s measurement capability. Precision is limited to the number of significant digits of measuring capability of the coarsest instrument or constant in a sequence of measurements and computations. Error is the granularity of the instrument s measurement capability. Error magnitudes are also added together when making multiple measurements for calculating a certain quantity. When making a calculation from a measurement to a specific number of significant digits, rounding if needed must be done properly ..., while the first definition does not. Removing Instrument Error The instrument error is not like random error , that can t be removed. Sometimes the removal of instrument errors are very easy ... error is very difficult to remove. Ammeter has built in resistance, which can t be removed either way. So the only way is to minimize it. On the other hand, the removal of error of a thermometer is a bit simple. Only the calibration has to be removed and then again calibrate it carefully. Sometimes, the user doesn t care for removal of error from the instrument, else he compensates it in calculation, for example, the zero error in Vernier Caliper is eliminated by proper calculation. ref Engr. Tariq Saleem s explanation ref Another way to deal with instrument error may be to reduce the Reactivity ... more details
Unreferenced date December 2009 Orphan date December 2009 A block error is a common type of error in certain types of digital television Transmission telecommunications transmission , particularly those that use image compression . Its presence in a television image is a telltale sign that 1 the signal is broadcast digitally, as this type of error can not occur in analog signal analog transmission, and 2 that there is a significant amount of signal noise noise , as digital television is designed to tolerate a certain amount of interference. Block errors are usually Error detection detected , but not Error correction corrected , by the receiving device and are commonly displayed as empty black boxes in the television image. Because of how television images are usually compressed, a block error in a single frame often results in black boxes in several subsequent frames. In the worst case, a few block errors per frame could render the video from a television broadcast unviewable. Block errors are most common in digital satellite television , where bad weather or motion of the satellite dish can cause interference outside the broadcaster s control. Block errors can occur at levels of interference where an analog transmission would be fuzzy but still viewable. Thus, block errors are a fine example of the consequences of trade off s in engineering . Although in ideal conditions, digital transmission far exceeds analog transmission in performance, below a certain threshold of signal to noise ratio , digital transmission becomes untenable. DEFAULTSORT Block Error Category Television terminology tv term stub ... more details
Standard error can refer to Standard error statistics , the estimated standard deviation or error of a series of measurements Standard error stream , one of the standard streams in Unix like operating systems disambig pt erro padr o ... more details
Human Error may also refer to Human Error artist is a Polish electronic musician. Human Error album Human Error album , album by Unseen Terror Human Error Voyager episode Human Error Voyager episode , Star Trek Voyager episode Human Error House Human Error House episode , an episode of the series House M.D. Human Error, a 2008 single by New Zealand band The Datsuns Human Error, a song by aggrotech band Combichrist from album The Joy Of Gunz Human reliability Human error assessment and reduction technique , HEART a technique used in the field of human reliability disambig ... more details
wiktionary error An error is a mistake. Error may also refer to Error coin Error coram nobis , another type of writ to correct factual mistakes Error, a character from Zelda II The Adventure of Link Postage stamp error Appeal Writ of error , a writ historically issued for an appeal in common law cases Science Approximation error , error in scientific measurements Bias statistics Bias Error , in computer science, that part of the system state that is liable to lead to failure. Error message , a computer error message Errors and residuals in statistics Refractive error Standard error statistics Music Error band , an electro punk hardcore band from Los Angeles, California, US Errors band , a four piece post electro band from Glasgow, Scotland Sport Error baseball , a baseball concept See also Err disambiguation disambig ar ca Error cs Chyba de Error es Error fr Erreur gl Erro it Errore nl Error no Feil pl B d pt Erro desambigua o sl Napaka razlo itev fi Virhe sv Fel olika betydelser ... more details
in multiple correction words, rather than a multi bit upset in a single correction word. So, an error correcting code needs only to cope with a single bit in error in each correction word in order ...Refimprove date November 2011 distinguish software error In electronics and computing , a soft error is an error in a signal or datum which is wrong. Errors may be caused by a wikt defect defect , usually understood either to be a mistake in design or construction, or a broken component. A soft error ... observing a soft error, there is no implication that the system is any less reliable than before. In the spacecraft industry this kind of error is called a single event upset . An error occurence ... typically can be remedied by cold booting the computer. A soft error will not damage a system s hardware ... level soft error These errors occur when the radioactive atoms in the chip s material decay and release ... to decay. system level soft error These errors occur when the data being processed is hit with a noise ... bit, which can cause errors in addressing or processing program code. The bad data bit can even be saved in memory and cause problems at a later time. If detected, a soft error may be corrected by rewriting correct data in place of erroneous data. Highly reliable systems use error correction ... data, or even to discover that an error is present at all. In addition, before the correction ... in semiconductor storage. Critical charge Whether a circuit experiences a soft error depends on the energy ... likely to suffer an error. This combination of capacitance and voltage is described by the critical ... error by alpha particle emission. The positively charged alpha particle travels through the semiconductor ... life security implications of such bit flips in the internet s DNS system. The paper found up to 3,434 incorrect requests a day due to bit flip changes for various common domains. Many of these bit ... 40, Jan 1996. ref IBM estimated that one error per month per 256 MiB of ram was expected for a desktop ... more details
There are many kinds of error in law. Reversible error can lead to a judgment being overturned on appeal. Harmless error is distinguished from plain error in that if error is preserved by the making of a timely objection law objection , the legal burden of proof burden of proof is on the appellee to show that the error was harmless, but if error was not preserved, the burden of proof is on the appellant to show that the error was plain. ref cite web url http www.law.cornell.edu rules frcrmp Rule52.htm title Federal Rules of Criminal Procedure Rule 52 LII 2009 ed. publisher Law.cornell.edu date accessdate 2010 05 16 ref See also Standard of review References reflist Category Law Category Legal terms law stub ... more details
, for example, in determining the biterror rate of a digital communication system. The error and complementary ...Image Error Function.svg thumb right 400px Plot of the error function In mathematics , the error function also called the Gauss error function is a special function non Elementary function elementary of Sigmoid ... error function , denoted erfc , is defined as math begin align operatorname erfc x & 1 operatorname erf x & frac 2 sqrt pi int x infty e t 2 ,dt. end align math The imaginary error function , denoted erfi , is defined as math operatorname erfi z i , , operatorname erf i ,z math The complex error ... erfc ix e x 2 1 i , , operatorname erfi x math The name error function The error function ... stuck. The error function is the integral of the Gaussian function curve the bell curve or normal distribution . As a result, the error function gives the probability that a measurement, under the influence .... This usage is similar to the Q function , which in fact can be written in terms of the error function ... ComplexEx2.jpg caption1 Integrand exp &minus z sup 2 sup image2 ComplexErf.jpg caption2 erf z The error ... The error function is an entire function it has no singularities except that at infinity and its ..., one obtains the error function s Taylor series as math operatorname erf z frac 2 sqrt pi sum n ... 1 sup th sup term considering z as the first term . The error function at is exactly 1 see Gaussian integral . The derivative of the error function follows immediately from its definition math frac rm d rm d z , mathrm erf z frac 2 sqrt pi ,e z 2 . math An antiderivative of the error function is math z , operatorname erf z frac e z 2 sqrt pi . math Inverse functions The inverse error ... terms are given in entry A002067. Note that the error function s value at is equal to 1. The inverse complementary error function is defined as math operatorname erfc 1 1 z operatorname erf 1 z . math Asymptotic expansion A useful asymptotic expansion of the complementary error function ... more details
In Programming language computer programming , error codes are enumerated messages that correspond to faults in a specific software application . They are typically used to identify faulty hardware , software , or incorrect user input in programming languages that lack exception handling , although they are sometimes also used in conjunction with exception handling. Error codes are not to be confused with return code s , although both are commonly used together in error handling. Some of the most severe error codes visible to users are the Stop error screen Blue Screen of Death codes provided by the Microsoft Windows Microsoft Windows operating systems . Error codes and exception handling Error codes are slowly disappearing from the programmer s environment as modern Object oriented programming object oriented programming languages replace them with Exception handling exceptions . Exceptions .... While it is considered poor practice in methodologies that use error codes and return codes to indicate failure, programmers often neglect to check return values for error conditions. That negligence can cause undesirable effects, as ignored error conditions often cause more severe problems later in the program. Exceptions are implemented in such a way as to separate the error handling code from the rest of the code. Separating the error handling code from the normal logic makes programs easier to write and understand, since one block of error handling code can service errors from any number of function calls. Exception handling also makes the code more readable than implementations with error ... for error conditions. See also Abort computing Aspect oriented programming Exit status Failure Static code analysis External links http www.barricane.com c error codes include errno Lists of Linux errno ... system error codes DEFAULTSORT Error Code Category Computer networking de Fehlercode es C digo de error ru sv Felkod ... more details
Error bars are a graphical representation of the variability of data and are used on graphs to indicate the Error Experimental science error , or uncertainty in a reported measurement. They give a general idea of how accurate a measurement is, or conversely, how far from the reported value the true error free value might be. Error bars often indicate one standard deviation of uncertainty, but may also indicate the Standard error statistics standard error . These quantities are not the same and so the measure selected should be stated explicitly in the graph or supporting text. Error bars can be used to compare visually two quantities if various other conditions hold. This can determine whether differences are statistically significant . Error bars can also show how good a statistical fit the data has to a given function. Scientific papers in the experimental sciences are expected to include error bars on all graphs, though the practice differs somewhat between sciences, and each journal will have its own house style . See also Confidence interval Box plot External links http www.ncsu.edu labwrite res gt gt stat home.html Using Error Bars in your Graph North Carolina State University http www.graphpad.com faq viewfaq.cfm?faq 201 Is it better to plot graphs with SD or SEM error bars? Answer Neither Category Statistical terminology statistics stub de Fehlerbalken ko ... more details
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