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Another and equivalent
Another equivalent axiom only considers collections X that are essentially powersets of other sets:
Another advantage with analog signals is that their processing may be achieved more simply than with the digital equivalent.
Another definition of asymmetric makes asymmetry equivalent to antisymmetry plus irreflexivity.
Another Vala, Aulë, creates the Dwarf race as an act of subcreation that honoured Eru Ilúvatar ( The equivalent of God in Tolkien's writings ), and which Eru accepted and made real, just as Niggle's Tree was made real.
Another matrix string theory equivalent to Type IIB string theory was constructed in 1996 by Ishibashi, Kawai, Kitazawa, and Tsuchiya.
Another equivalent definition of the rank of a matrix is the greatest order of any non-zero minor in the matrix ( the order of a minor being the size of the square sub-matrix of which it is the determinant ).
Another feature is the NET ( Null End Tag ) construction:, which is structurally equivalent to.
Another formalism mathematically equivalent to regular expressions, Finite automata are used in circuit design and in some kinds of problem-solving.
Another equivalent definition is
Another prominent opponent of Bligh, Macarthur's ally Thomas Jamison, was made the colony's Naval Officer ( the equivalent of Collector of Customs and Excise ).
Another report suggested that in 1669, Tavernier sold this large blue diamond along with approximately one thousand other diamonds to King Louis XIV of France for 220, 000 livres, the equivalent of 147 kilograms of pure gold.
Another example is al-Tusi's son, Sadr al-Din ( sometimes known as " Pseudo-Tusi "), who wrote a book on the subject in 1298, based on al-Tusi's later thoughts, which presented another hypothesis equivalent to the parallel postulate.
Another place is called the typical thirteenth Pratum magnum, a large open area destined to the market ( equivalent to today's Piazza Trento e Trieste ).
Another equivalent measure of proximity to instability is the phase margin.
Another roughly equivalent title and area in medieval Eastern Europe were those of ban ( bojan, vojin or bayan ) and banate.
* Another variation includes being sent to procure a " long weight " or " long stand ," the idea being that the dupe will reach the shop ( or equivalent source of the mythical object ) and place the request.
Another equivalent version is
Another divide and conquer algorithm with a single subproblem is the Euclidean algorithm to compute the greatest common divisor of two numbers ( by reducing the numbers to smaller and smaller equivalent subproblems ), which dates to several centuries BC.
Another equivalent formula for the area, which more closely resembles Heron's formula, is
Another language game, " Fannee Doolee ," centers around a character who likes any person, place, thing or concept with double letters in it but hates its non-double-lettered equivalent, e. g., " Fannee Doolee likes sweets but hates candy.
Another, equivalent way to describe the same is that the distribution figure of each candidate is the votes for his party divided by his rank within his party ; the candidates with highest distribution figures are elected.
Another equivalent definition with the advantage of brevity is
Another way of putting this is that a phase angle of, say, 5 ° is considered to be completely equivalent to an angle of 365 °.
Another rearrangement shows that the Jacobi identity is equivalent to the following identity between the operators of the adjoint representation:
Another consideration is that due to the fact that territory controlled by Tang central authority was diminished by the equivalent of several of the northern provinces, something like a quarter of the remaining population no longer remained within the imperial revenue system.

Another and process
Another delay followed due to a long standards process before 28. 8 was released, only to be quickly replaced by 33. 6.
Another place where a heterogeneous catalyst is applied is in the contact process ( oxidation of sulfur dioxide on vanadium ( V ) oxide for the production of sulfuric acid ).
Another biologically important process that occurs during development is apoptosis — programmed cell death or " suicide.
Another theory suggests the brain may process sensory input ( perhaps all sensory input ) as a " memory-in-progress ", and that therefore during the event itself one believes it to be a past memory.
Another setting where there is usually gender discrimination is when one is refused to extend his or her credit, refused approval of credit / loan process, and if there is a burden of unequal loan terms based on one ’ s gender.
Another significant source of erosion, particularly on carbonate coastlines, is the boring, scraping and grinding of organisms, a process termed bioerosion.
Another reason to be interested in S < sub > 1 / T </ sub >( ƒ ) is that it often provides insight into the amount of aliasing caused by the sampling process.
Another change was the conversion of the empire to Christianity, which occurred in a gradual process that lasted from the 2nd through the 5th centuries.
Another common application was real-time process control and factory automation.
Another definition of research is given by Creswell who states-" Research is a process of steps used to collect and analyze information to increase our understanding of a topic or issue ".
Another of the most common objections to reliabilism, made first to Goldman's reliable process theory of knowledge and later to other reliabilist theories, is the so-called generality problem.
Another way of viewing this is to look at the net stimulated emission or absorption viewing it as a single process.
Another important function of Gemara is to identify the correct Biblical basis for a given law presented in the Mishnah and the logical process connecting one with the other: this activity was known as talmud long before the existence of the " Talmud " as a text.
* YAWL – Yet Another Workflow Language, a business process modeling language for diagramming workflow patterns
Another legend states that when Barbarossa was in the process of seizing Milan in 1158, his wife, the Empress Beatrice, was taken captive by the enraged Milanese and forced to ride through the city on a donkey in a humiliating manner.
Another process involving dysphemistic terms is generalization.
Another feature is that the process of nucleosynthesis is determined by conditions at the start of this phase of the life of the universe, making what happens before irrelevant.
Another view outlines a phased approach to the process.
Another basic type of a stochastic process is a random field, whose domain is a region of space, in other words, a random function whose arguments are drawn from a range of continuously changing values.
Another technique used in drug development uses an iterative selective process called in vitro selection to evolve aptamers, or nucleic acid fragments capable of binding specific organic compounds with high binding affinity.
Another significant problem with racial quotas is the controversial process of reevaluating quota percentages after changes of racial ratios in a society.
Another famous pirate of this era was Hendrick Lucifer, who fought for hours to acquire Cuban gold, becoming mortally wounded in the process.
Another important factor in the reconciliation process has been the activity of ZAKA – a voluntary rescue organization run by Haredim, which provides emergency first response medical attention at suicide bombing scenes and retrieves human remains found there to provide proper burial.
Another, given by D ' Arcy Wentworth Thompson, is that the shape simply results from the process of individual bees putting cells together: somewhat analogous to the boundary shapes created in a field of soap bubbles.
Another important aspect is the reduction of unstressed vowels, not entirely unlike a similar process present in most forms of English.

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