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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.
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When and functions
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 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 stored alongside the data, CRCs and cryptographic hash functions by themselves do not protect against intentional modification of data.
When no circuitry is common between transmit and receive functions, the device is a transmitter-receiver.
When hash functions and fingerprints are used to identify similar data, such as homologous DNA sequences or similar audio files, the functions are designed so as to maximize the probability of collision between distinct but similar data.
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 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 and between
When he added to his Pittsburgh commitments the directorship of the London Philharmonic Orchestra in 1958, he conducted one hundred fifty concerts within nine months, `` commuting '' between the two cities.
When Heidegger and Sartre speak of a contrast between being and existence, they may be right, I don't know, but their language is too philosophical for me.
When negotiating with your union, do you make sure employees have a choice between new benefits and their cents-per-hour cost in wages.
When some thirteen records of newly and recently born individuals are collated, little or no correlation between length and distribution can be detected.
When there are only two means to compare, the t-test and the ANOVA F-test are equivalent ; the relation between ANOVA and t is given by F = t < sup > 2 </ sup >.
When this happens the carbon atoms will no longer be soluble with the iron, and will be forced to precipitate out of solution, nucleating into the spaces between the crystals.
When necessary the hardware would switch between the graphics output being produced by the micro and that being produced by the add-on.
When Joshua read the Law to the people between Mount Gerizim and Mount Ebal, they stood on each side of the Ark.
When debates polarise between techniques, the methods are often referred to by a colour code, based on the colours of the bindings of the two volumes from the first Oxford Conference, where the approaches were first distinguished.
When the total number of mandates gained by a party has been determined, they are distributed between the Land lists.
When barter did in fact occur, it was usually between either complete strangers or would-be enemies.
" When or where Teach collected the ten gun Briganteen is unknown, but by that time he may have been in command of at least 150 men split between three vessels.
When Liddell Hart was questioned about this in 1968, and the discrepancy between the English and German editions of Guderian's memoirs, " he gave a conveniently unhelpful though strictly truthful reply.
When Haydn and Mozart began composing, symphonies were played as single movements — before, between, or as interludes within other works — and many of them lasted only ten or twelve minutes ; instrumental groups had varying standards of playing, and the continuo was a central part of music-making.
When in 1981 François Mitterrand was elected president Denard lost the support of the French intelligence service, but he managed to strengthen the link between SA and the Comoros.
When introducing a law, he sat on a bench between the consuls in his position as Holder of the Power of Tribune ( The Emperor could not officially serve as a Tribune of the Plebes as he was a Patrician, but it was a power taken by previous rulers ).
When the rest of the line was closed and all passenger services ceased, the section of the line between Cheddar and Yatton remained open for goods traffic.
When he shifted between the two images, a moving object, such as a planet, would appear to jump from one position to another, while the more distant objects such as stars would appear stationary.
When ITV did return, its first evening schedule included a special " catch-up " edition of Coronation Street, in which storylines which would have taken place during the strike were explained away in the form of a narrative chat between Len Fairclough and Bet Lynch.
When a transition between user mode and kernel mode is required in an operating system, a context switch is not necessary ; a mode transition is not by itself a context switch.
When the throat chakra settles and energy is distributed evenly between the head and the heart chakras, one is able to truly contact one's senses and touch real feelings.
When intervals between fires drop below 10 to 15 years, many chaparral species are eliminated and the system is typically replaced by non-native, invasive, weedy grassland.