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Page "Georg Cantor" ¶ 26
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Using and sequence
Using the Fibonacci sequence would keep the number of grains within any one field at minimum.
Using the extension of the code, the encoded string 0011001011 can be grouped into codewords as 0 – 011 – 0 – 01 – 011, and these in turn can be decoded to the sequence of source symbols acabc.
Using a mathematical formulation, let ( x < sub > 1 </ sub >, x < sub > 2 </ sub >, ..., x < sub > n </ sub >) be the input sequence of n distinct values over the finite field F ; then the codebook C created from the tuplets of values obtained by evaluating every polynomial ( over F ) of degree less than k at each x < sub > i </ sub > is
Using the concept of the impossibility of a gambling system, von Mises defined an infinite sequence of zeros and ones as random if it is not biased by having the frequency stability property i. e. the frequency of zeros goes to 1 / 2 and every sub-sequence we can select from it by a " proper " method of selection is also not biased.
Using a parsimony criterion is only one of several methods to infer a phylogeny from molecular data ; maximum likelihood and Bayesian inference, which incorporate explicit models of sequence evolution, are non-Hennigian ways to evaluate sequence data.
Using Marcin Ciura's gap sequence, with an inner insertion sort.
Using command objects makes it easier to construct general components that need to delegate, sequence or execute method calls at a time of their choosing without the need to know the owner of the method or the method parameters.
Using a heuristic method, BLAST finds similar sequences, not by comparing either sequence in its entirety, but rather by locating short matches between the two sequences.
Using this grammar, the sequence of symbols
Using the following sample signal that is composed of a set of four sinusoidal waveforms joined together in sequence.
Using the Tor functor's long exact sequences, one can then easily prove facts about a short exact sequence
Using the axiom of choice, they select and memorize a representative sequence from each equivalence class.
Using digitized sound and 256-color VGA graphics, it consists of a sequence of several levels, each of them in different action style, and the story is carried between levels with comic book-style strips and spoken dialogue.
Using cryptographic hashes inside the port knock sequence can mean that even sniffing the network traffic in and out of the source and target machines is ineffective against discovering the port knock sequence or using traffic replay attacks to repeat prior port knock sequences.
Using this weighted-union heuristic, a sequence of m MakeSet, Union, and Find operations on n elements requires O ( m + nlog n ) time.
Using four-dimensional Cerf theory, he proved that if M and N are 3-manifolds, resulting from Dehn surgery on framed links L and J respectively, then they are homeomorphic if and only if L and J are related by a sequence of Kirby moves.
Using Kyte-Doolittle analysis, the amino acid sequence of CD36 predicts a hydrophobic region near each end of the protein large enough to span cellular membranes.
Using the long exact sequence of pairs and the excision theorem, one can show that H < sub > n </ sub >( X, A ) is the same as the n-th reduced homology groups of the quotient space X / A.
Using recombinant DNA technology and synthetic DNA, literally any DNA sequence may be created and introduced into any of a very wide range of living organisms.
Using this, a complex operation can be accomplished in a single command line using a sequence of commands connected together in a pipeline.
Using a 375 residue query sequence a speed of 106 billion cell updates per second ( GCUPS ) was achieved on a dual Intel Xeon X5650 six-core processor system, which is over six times more rapid than software based on Farrar's ' striped ' approach.

Using and constructs
Using the original X-Men as his agents to satisfy Lucifer's twisted sense of irony-and also due to his limited ability to create truly effective ionic constructs ; the duplicate Xavier was only his third construct shown and the other two lacked any kind of initiative-the duplicate Professor dispatched them to acquire three components from Quistalian outposts around the globe, intending to use them to alter the machine that had sent the Professor into the Nameless Dimension so that it could be used to allow Lucifer to return to Earth.
Using this demarcation puts portions of western Europe, Africa and eastern Russia in the western hemisphere, thereby diluting its usefulness for cartography, as well as for geopolitical constructs, since all of Eurasia and Africa are typically included in the eastern hemisphere.
Using constructs drawn from the salient discourses of the individual, the group and cultural norms, the practical operationalisation of ISA provides a methodology that maps how these are used by the individual, applied across time and milieus by the ‘ situated self ’ to appraise self and other agents and institutions ( for example, resulting in the individual ’ s evaluation of self and significant others and institutions ).
Using sensors, LEDs, and shape memory alloy, Beesley constructs an interactive environment that responds to the actions of the audience, offering a vision of how buildings in the future might move, think and feel.
Using the bands ' power to generate solid energy constructs, he repulses the attack.
Using her knowledge about Ryan, she helped Chronos into faking a mail correspondence with Ryan, giving him the shrinking belt he eventually used to become the Atom, but planting the seeds of his downfall, trapping part of the denizens of Ivy Town in a microverse held in strange viral constructs hidden in Ryan's bloodstream.

Using and intervals
Using as the number of compounding intervals, with interest of 100 %/ in each interval, the limit for large is the number that came to be known as ; with continuous compounding, the account value will reach $ 2. 7182818 .... More generally, an account that starts at $ 1, and yields ( 1 +) dollars at simple interest, will yield < sup ></ sup > dollars with continuous compounding.
Using integer notation and modulo 12 ( in which the numbers " wrap around " at 12, 12 and its multiples therefore being defined as 0 ), any two intervals which add up to 0 ( mod 12 ) are complements ( mod 12 ).
Using this keyboard, it was possible to play acoustically satisfactory intervals in any key, and therefore some of the recently composed music in a chromatic style, which was only in tune when sung, could be played on the keyboard.
Using the newest power of the artifact, the sultan created a line of crystalline towers that stretched from his capital across the empty desert to his kingdom ’ s second city, an oft-raided frontier city about a day's travel away in intervals.

Using and whose
Using comparative linguistic evidence from continental Germanic sources, the 19th century scholar Jacob Grimm proposed the existence of a cognate form of Ēostre among the pre-Christian beliefs of the continental Germanic peoples, whose name he reconstructed as * Ostara.
Using FProxy, a user can browse freesites ( web sites that use normal HTML and related tools, but whose content is stored within Freenet rather than on a traditional web server ).
Using this sudden alarm as an excuse to get rid of the sophist Agamemnon, whose company Encolpius and his friends are weary of, they flee as if from a real fire ( 78 ).
Using her magic, Rita kidnaps and brainwashes a local teen whose fighting skills prove to equal that of Jason's in a martial-arts contest held in Angel Grove.
Using the analogy of blood flowing through the human body, he argued that the of blood contained in the human body were sufficient for the heart to pump much more than that per day ; so it was, he argued, with currency, whose circulation needed to be accelerated to enhance Albertans ' purchasing power.
Using this email address Cayce makes contact with Stella Volkova whose sister Nora is the maker of the film clips.
An additional 4. 8 MeV can be gleaned by having the fast neutrons moderated in a suitable " blanket " surrounding the reaction chamber, with the blanket containing lithium-6, whose nuclei, known by some as " lithions ," readily and exothermically absorb thermal neutrons, the lithium-6 being transmuted thereby into an alpha particle and a triton .< ref group =" note "> Using the difference between the known rest masses of the n and < sub > 3 </ sub > Li < sup > 6 </ sup > reactants, on the one hand, and the known rest masses of the α and t products, on the other, along with the conservation of momentum and the conservation of energy, the over-all energy release ( the Q-value ), as well as the respective non-relativistic or Galilean velocities and non-relativistic or Galilean kinetic energies of the α and t products may be readily calculated directly .</ ref >
Using live models, whose facial and bodily features he depicted, LeQuire created two Caucasian women and one Caucasian man ; an African-American man and woman ; one Asian-American woman ; a Native American man ; and a Hispanic man and woman.
Using STREAMS also appeared to offer a way to " one up " Microsoft, whose own TCP / IP networking system, Winsock, was based on the apparently soon-to-be-obsolete sockets.
* Using the formulation " Let us bless our God, from whose wealth we have eaten ," in preparing for Grace after meals.
: Example: Using the ' Black Luster Ritual ' spell card and tributing monsters from the field and / or hand whose total levels equal Lv 8 or more allows player to special summon ' Black Luster Soldier ' ( Lv 8 Ritual Monster ).
Using two cameras whose relations to one another are known, a 3d representation can be approximated by the output of the cameras.
# Inverse cosine: Using an inverse cosine table, find two angles whose cosines are our two values.
Using the definition of ordinal numbers suggested by John von Neumann, ordinal numbers are defined as hereditarily transitive sets: an ordinal number is a transitive set whose members are also transitive ( and thus ordinals ).

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