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Another equivalent axiom only considers collections X that are essentially powersets of other sets:
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Another and equivalent
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 axiom
Another argument against the axiom of choice is that it implies the existence of counterintuitive objects.
Another was introduced by Maurice Boffa, with the idea of making foundation fail as badly as it can ( or rather, as extensionality permits ): Boffa's axiom implies that every extensional set-like relation is isomorphic to the elementhood predicate on a transitive class.
Another and only
Another important source of evidence only recently receiving much attention is the analysis of atmospheric dust for a meteoritic component.
Another patient, a paranoid woman, for many months infuriated not only me but the ward-personnel and her fellow patients by arrogantly behaving as though she owned the whole building, as though she were the only person in it whose needs were to be met.
Another girl from a relatively large midwestern city described herself as `` the only Orthodox girl in town ''.
Another moment and they were out of sight, leaving behind only a string of bubbles as a clue to their whereabouts.
Another weakness -- far more irritating than his manner of speaking, which he made only token effort to change -- was his devotion to that old horse of Tolley's.
Another view accepts Altaic as a valid family but includes in it only Turkic, Mongolic, and Tungusic.
Another delay followed due to a long standards process before 28. 8 was released, only to be quickly replaced by 33. 6.
Another special case is the class of problems where each clause only contains exclusive or operators.
Another view maintains that cognitive deficits in chronic benzodiazepine users occur only for a short period after the dose, or that the anxiety disorders is the cause of these deficits.
Another important mind-related subject that the cognitive sciences tend to avoid is the existence of qualia, with discussions over this issue being sometimes limited to only mentioning qualia as a philosophically open matter.
Another pennant winner did not come until their championship season of 2005, when the White Sox won their first World Series championship in 88 years, breaking their epochal drought only a year after the Boston Red Sox had broken their slightly shorter but more celebrated " curse.
Another possibility is that only a portion of one molecule is transferred to the other molecule.
Another myth describes Polish cavalry as being armed with both sabres and lances ; lances were used for peacetime ceremonial purposes only and the primary weapon of the Polish cavalryman in 1939 was a rifle.
Another example is " Meeya Meefla ", the only city to have preserved its name from the pre-atomic era: evidently Miami, Florida, from its abbreviated form ( as on road signs ) " MIAMI FLA ".
Another school of thought argues that the worst of the abuses took place decades ago, and that the current leaders were not only unconnected with them, but were actually victims of that era.
Another publication, the " Worship " book is a compilation of songs and hymns that have been composed only by members of the Christadelphian community.
Progressive rock group Pink Floyd, when creating their rock opera The Wall, used disco-style components in their song, " Another Brick in the Wall, Part 2 " ( 1979 )— which became the group's only # 1 hit single ( in both the US and UK ).
Another who contributed significantly to the spirituality of the Order is Albertus Magnus, the only person of the period to be given the appellation " Great ".
Another belief is that it refers to melodic pop vocals sung over beats of a type that previously were used only with rap and semi-chanted electro-funk.
Another type of neck, only available for solid body electric guitars, is the neck-through-body construction.
Another TV show, Tell It To Groucho, premiered January 11, 1962 on CBS, but only lasted five months.
Another early mentioning of the name, this time by Poseidonios ( writing around 80 BCE ), is also dubious, as it only survives in a quotation by Athenaios ( writing around 190 CE ); the mention of Germani in this context was more likely inserted by Athenaios rather than by Poseidonios himself.
Another six-figure sum donor was Emile Heskey, who had not only followed in Lineker's footsteps by going to the same school as him, but also went on to play for Leicester City and England.
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