When storing records in a large unsorted file, one may use a hash function to map each record to an index into a table T, and collect in each bucket T a list of the numbers of all records with the same hash value i. Once the table is complete, any two duplicate records will end up in the same bucket.

When testing a hash function, the uniformity of the distribution of hash values can be evaluated by the chi-squared test.

When this approach is used, the hash function must be chosen so that the result has fairly uniform distribution between 0 and n − 1, for any value of n that may occur in the application.

When the hash function is used to store values in a hash table that outlives the run of the program, and the hash table needs to be expanded or shrunk, the hash table is referred to as a dynamic hash table.

When this is done, and it is very common, an attacker can work off-line, rapidly testing candidate passwords against the true password's hash value.

When a user types in a password on such a system, the password handling software runs through a cryptographic hash algorithm, and if the hash value generated from the user's entry matches the hash stored in the password database, the user is permitted access.

When stored alongside the data, CRCs and cryptographic hash functions by themselves do not protect against intentional modification of data.

When selecting a file from the list presented to the user, the client would actually initiate a download by hash value.

* When random bits are requested, return that many bits derived from the entropy pool ( by a cryptographic hash function, say ) and decrement the estimate of the number of random bits remaining in the pool.

When the object in question is not derived from a class, but from a prototype instead, the size of an object is usually that of the internal data structure ( a hash for instance ) that holds its slots.

When eaten for breakfast, scrambled eggs often accompany toast, hash browns, pancakes, bacon, ham or sausages.

When SYSKEY is enabled, the on-disk copy of the SAM file is partially encrypted, so that the password hash values for all local accounts stored in the SAM are encrypted with a key ( usually also referred to as the " SYSKEY ").

When a single bit is changed the hash sum becomes completely different.

When a collision attack is discovered and is found to be faster than a birthday attack, a hash function is often denounced as " broken ".

When Weezer performed the song on T4 one Sunday afternoon, the title was read out as " Half Pipe ", despite the fact that the word " hash " was still heard.

When implemented as such, a switch statement essentially becomes a perfect hash

When not on the House floor, Johnson, in Washington without wife Eliza, shunned social functions in favor of increased self study and reading in the Congressional library.

When the current through the device is reversed, the electrodes switch functions, so anode becomes cathode, while cathode becomes anode, as long as the reversed current is applied, with the exception of diodes where electrode naming is always based on the forward current direction.

When α is an integer, moreover, as was similarly the case for the functions of the first kind, the following relationship is valid:

When α is an integer, the Bessel functions J are entire functions of x.

When the functions J < sub > n </ sub >( x ) are plotted on the same graph, though, none of the zeros seem to coincide for different values of n except for the zero at x = 0.

When applied to vector spaces of functions ( which typically are infinite-dimensional ), dual spaces are employed for defining and studying concepts like measures, distributions, and Hilbert spaces.

When calculating correlation functions instead of scattering amplitudes, there is no past and future and all the lines are internal.

When a Governor-General is overseas on official duties or unable to perform official functions, or the office is vacant, the senior state governor is appointed as Administrator of the Commonwealth, and is effectively acting Governor-General.

When placed on the external address bus, it replicates the original functions of B and C. Port A has input capture, output compare, pulse accumulator, and other timer functions ; port D has serial I / O, and port E has an analog to digital converter ( ADC ).

When contains many candidate functions or the training set is not sufficiently large, empirical risk minimization leads to high variance and poor generalization.

When pure Python code is not fast enough, time-critical functions can be rewritten in " closer to the metal " languages such as C, or by translating ( a dialect of ) Python code to C code using tools like Cython.

When parameters are present, the definition actually defines a whole family of functions, one for every valid set of values of the parameters.

When serializing structures with, there are network safe functions that always store their data in a format that is readable on any computer at a small cost of speed.

When the cities are viewed as points in the plane, many natural distance functions are metrics, and so many natural instances of TSP satisfy this constraint.

When attending various functions and receptions in his honour, he consumed large amounts of alcohol, even though otherwise he was not a regular drinker.

When no circuitry is common between transmit and receive functions, the device is a transmitter-receiver.

When coupled with production or commodity constraints, under some assumptions, these functions can be used to analyze Pareto efficiency, such as illustrated by Edgeworth boxes in contract curves.

When all of the details are worked out one ends up with an expression that again takes the form of an Arrhenius exponential multiplied by a slowly varying function of T. The precise form of the temperature dependence depends upon the reaction, and can be calculated using formulas from statistical mechanics involving the partition functions of the reactants and of the activated complex.

When functions between discrete sets are considered in combinatorics, it is not always obvious that " increasing " and " decreasing " are taken to include the possibility of repeating the same value at successive arguments, so one finds the terms weakly increasing and weakly decreasing to stress this possibility.

When Thames Water was privatised in 1990, its river management functions were transferred to the National Rivers Authority, in 1996 subsumed into the Environment Agency.

When Dil is gone, he wipes Dil's fingerprints off the gun and allows himself to be arrested in place of Dil.

When the FBI finally sent Mayfield's fingerprints to the Spanish authorities, they contested the matching of the fingerprints from Brandon Mayfield to the ones associated with the Madrid bombing.

When the murder weapon turns up in Poirot's hedge, it has fingerprints on it that match none of the suspects.

When I show up he will know you are a good wife to have told him about it ''.

When the Know-nothings get control, it will read, All men are created equal except Negroes and foreigners and Catholics.

When the reactionary response is thus bolstered by an intellectual defense, the characteristics of that defense are explicable only in terms of the basic attitudes of unanalyzed reaction.

When combined with the metaphysical notion that pure forms of this universe are best appreciated when least embodied in a material substratum, it becomes clear that while earth will be dross on a scale of material-formal ratios, celestial bodies will be of a subtle, quickened, ethereal existence, in whose embodiment pure form will be the dominant component and matter will be absent or remain subsidiary.

She used to tell me, `` When I stand there and look at the flag blowing this way and that way, I have the wonderful, safe feeling that Americans are protected no matter which way the wind blows ''.

When we consider the disorganized state of the world community, and the legacy of predispositions adversely directed against all who are identified as Jews, it is obvious that the struggle for the minds and muscles of men needs to be prosecuted with increasing vigor and skill.

When these fields are surveyed together, important patterns of relationship emerge indicating a vast community of reciprocal influence, a continuity of thought and expression including many traditions, primarily literary, religious, and philosophical, but frequently including contact with the fine arts and even, to some extent, with science.

When different colors are used, she is just as likely to color trees purple, hair green, etc..

When finally the two bedraggled men reach their friend's home, Voltaire's fears are once again aroused.

`` When are you to leave ''??

When the roof blocks are all in place, the final rows of wall blocks are mortared into position.

When the aid operations are reorganized the Peace Corps should remain a semi-autonomous, functional unit.

When the budget goes to trustees for approval it is the president's budget, to which his faith and credit are committed ; ;

When they have 4 to 6 leaves and are thrifty little plants, it's time to set them out where they are to remain.

When aircraft are no longer helpless on airfields, they are no longer vulnerable to Aj.

When more than two figures are separated by subtraction symbols the subtraction must be carried out from the left to right if the result is to be correct.

When they're on, the top edges are planed even with the sheer batten.

When painting, Mason's physical eyes are half-closed, while his mind's eye is wide open, and this circumstance accounts in part for the impression he wishes to convey.

When improvements are recommended in working conditions -- such as lighting, rest rooms, eating facilities, air-conditioning -- do you try to set a measure of their effectiveness on productivity??

When sufficiently accurate and complete measurements are available, it will be possible to set limits on the thermal and electrical characteristics of the surface and subsurface materials of the moon.

When some thirteen records of newly and recently born individuals are collated, little or no correlation between length and distribution can be detected.

When three dice are tossed repeatedly, what is the probability that the number of aces is 0 ( or 1, or 2, or 3 )??