Each choice function on a collection X of nonempty sets is an element of the Cartesian product of the sets in X.

Each gate consisted of one inverting vacuum tube amplifier, preceded by a resistor divider input network that defined the logical function.

Each isomer is a local minimum on the energy surface ( called the potential energy surface ) created from the total energy ( i. e., the electronic energy, plus the repulsion energy between the nuclei ) as a function of the coordinates of all the nuclei.

Each replacement results in a function taking exactly one argument.

Each is a complex number that encodes both amplitude and phase of a sinusoidal component of function.

Each equivalence relation has a canonical projection map, the surjective function from to given by.

Each tool-design thus acts somewhat similarly to a biological gene in that some populations have it and others do not, and the meme's function directly affects the presence of the design in future generations.

Each stage may have a distinct physiological function and this can result in sleep that exhibits loss of consciousness but does not fulfill its physiological functions ( i. e., one may still feel tired after apparently sufficient sleep ).

Each ensemble is associated with a partition function that, with mathematical manipulation, can be used to extract values of thermodynamic properties of the system.

Each individual list represents one environment level: the parameters of the current function are in the head of the list, variables that are free in the current function, but bound by a surrounding function, are in other elements of E.

Each entry in this sequence needs to be an application of a basic function or follow from the entries above by using composition, primitive recursion or mu recursion.

Each performs a different function, fine-tuning how the wakeboard rides through the water according to its width from tip to tail, fin setup, rocker and tip and tail shape.

* The procedure: Each sample value is multiplied by the sinc function scaled so that the zero-crossings of the sinc function occur at the sampling instants and that the sinc function's central point is shifted to the time of that sample, nT.

Each logic gate represents a function of boolean logic.

Each realisation of a random function would result in a different function.

Each real set, function, and relation has its natural hyperreal extension, satisfying the same first-order properties.

Each realization is a sample of the complete-dimensional joint distribution function

Each value of the function is usually expressed as a complex number ( called complex amplitude ) that can be interpreted as a magnitude and a phase component.

Each of the Fatou domains contains at least one critical point of, that is, a ( finite ) point z satisfying, or z = ∞, if the degree of the numerator is at least two larger than the degree of the denominator, or if for some c and a rational function satisfying this condition.

Each of these mutations alters the gene's protein product ( i. e., the enzyme ), sometimes severely inhibiting its function .< ref > In recent years, population studies and pedigree analysis have shown how such mutations arise and spread within small founder populations.

Each state book contains both detailed history and USGS level maps showing the various Lincoln Highway alignments.

Each station is also designated with a sponsor, with route maps associating each station with a particular product brand.

Each TLB entry maps a virtual page number ( VPN2 ) to either one of two page frame numbers ( PFN0 or PFN1 ), depending on the least significant bit of the virtual address that is not part of the page mask.

Each of the subgroups of is realized by the covering since one can check that maps an integer to and hence,.

Each guide has a detailed index of streets and points of interest, as well as arterial maps for easy page location.

Each such map provides a way in which certain subsets of the manifold may be viewed as being like open subsets of but the usefulness of this notion depends on to what extent these notions agree when the domains of two such maps overlap.

Each of the four modes maps directly to a DLM lock mode.

Each of these dedicated zones have custom maps and settings not always available or found within the public zones.

Each geographic map is accompanied by a selection of thematic maps and city maps.

Each model partitions the known bits of s into a set of contexts, and maps each context to a bit history represented by an 8 bit state.

Each FunMap ® contains detailed street maps, business directories ( hotels, bars, restaurants, shops and service ), community resources, curated editorial, full color display advertisements and quick response codes, all of which welcome and invite gay and lesbian patronage., One of Europe's gay and lesbian travel marketing specialists is Out Now Consulting.

Each book features highly-detailed plans and cutaways of the machines, along with flags, insignias, maps and other visual information to help players ' immersion.

Each " alphabet " maps to a particular letter key on a standard QWERTY keyboard.

Each pattern is indexed by only one phase and maps displaying clearly distinguished phases are generated.

Each topological atlas for a ( real ) surface X consists of injective maps from open subsets of X into the Euclidean plane.

Each atlas presents 10 km² distribution maps for the species within its scope.

Each week within a Round was termed a Turn, during which 3 Mission maps were available to select from as the battle arena.

" Each chapter featured new maps, characters, quests, and an expansion of the general storyline.

Each dictionary form is looked up in the text-form list by the same method used to look up a new text occurrence in the form list during text reading.

Each time his objective had been the same -- a direct water passage from Western Europe to the Far East.

Each time he got the same answer and in the end he gave up.

Each bead and each wire has the same value and used in this way it can represent numbers up to 100.

Each node dynamically chose its own node number, according to a protocol ( originally the LocalTalk Link Access Protocol LLAP and later the AppleTalk Address Resolution Protocol, AARP ) which handled contention between different nodes accidentally choosing the same number.

Each of the hours of the office is composed of the same elements, and something must be said now of the nature of these constituent parts, of which mention has here and there been already made.

Each table is manned by five people ( vocales de mesa ) from the same registry.

Each player takes a stroke in turn, each trying to hit a ball through the same hoop.

Each entry has a datum ( a nugget ( piece ) of data )-a copy of the same datum in some backing store.

Each stitch in slip stitch crochet is formed the same way as a knit or purl stitch which is then bound off.

Each path is considered equally likely, and thus contributes the same amount.

Each of these names express a meaning and designate the same object.

Each Opencaching Node provides the same API for free ( called " OKAPI ") for developers who want to create third-party application with Opencaching Network's content.

Each barrel fires once per revolution at about the same position.

Each data system bus ( aka string ) was composed of the same functional elements, consisting of multiplexers ( MUX ), high-level modules ( HLM ), low-level modules ( LLM ), power converters ( PC ), bulk memory ( BUM ), data management subsystem bulk memory ( DBUM ), timing chains ( TC ), phase locked loops ( PLL ), Golay coders ( GC ), hardware command decoders ( HCD ) and critical controllers ( CRC ).

Each protein chain arranges into a set of alpha-helix structural segments connected together in a globin fold arrangement, so called because this arrangement is the same folding motif used in other heme / globin proteins such as myoglobin.

Each step in the sequence is idempotent: both steps reading the variable have no side effects and changing a variable to 5 will always have the same effect no matter how many times it is executed.

Each particle can exist in two possible states, labelled and, which have the same energy.

Each summer, the same individuals appear off the coasts of British Columbia and Washington.

Each bit or character from the plaintext is encrypted by a modular addition with a bit or character from a secret random key ( or pad ) of the same length as the plaintext, resulting in a ciphertext.

Each time enough consecutive pages were available, the same material was also published in the original larger fascicles.

Each panel of judges on the court of appeals for a circuit is bound to obey the prior appellate decisions of the same circuit.

Each network type requires all computers in the network to use the same or a compatible program to connect to each other and access files and other resources found on the other computer.

Each government had to notify to other governments on the existence of plague within their several jurisdictions, and at the same time state the measures of prevention which are being carried out to prevent its diffusion.

Each rectangular page has the proportions 1. 1 to 1, while the block of text has the reciprocal proportions, 0. 91 ( the same proportions, rotated 90 °).