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Another and formalism
Another version of formalism is often known as deductivism.
Another part of the formalism was low regard for triangles which were " dismissed as Ancient, pagan, or Christian ".
Another formalism mathematically equivalent to regular expressions, Finite automata are used in circuit design and in some kinds of problem-solving.
Another example, frequently studied in atomic physics, is the transition of an atom to or from an excited state ; here the TLS formalism is used to quantitatively explain stimulated and spontaneous emission of photons from excited atoms.
Another important reason for accepting special relativity was the extension of Minkowski's space-time formalism around 1910 – 1913.
Another formalism which is useful to model implementations of hybrid automaton is the lazy linear hybrid automaton.
Another possible generalization, often used by physicists when using the Feynman path integral formalism in quantum field theory, uses a functional integration:

Another and mathematically
Another commentator observed " It is mathematically impossible for the thirty million viewers of this show to beat the market, since they are the market.
Another way of mathematically constructing a helix is to plot a complex valued exponential function ( e < sup > xi </ sup >) taking imaginary arguments ( see Euler's formula ).

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 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 regular
Another technique called constructive solid geometry defines objects by conducting boolean operations on regular shapes, and has the advantage that animations may be accurately produced at any resolution.
Another regular Delphi festival was the " Theophania " ( Θεοφάνεια ), an annual festival in spring celebrating the return of Apollo from his winter quarters in Hyperborea.
Another approach is to tag the ciphertext with markers at regular points in the output.
Another regular character, who had also first appeared in Beyond Our Ken, and who appeared in the script as " Dentures ", was Stanley Birkenshaw, played by Paddick and characterised as a man with ill-fitting false teeth who was utterly incapable of pronouncing the letter S without spraying saliva all over the set.
Another version is the salted bomb, a true nuclear weapon designed to produce larger amounts of nuclear fallout than a regular nuclear weapon.
Another regular contributor to the section until his retirement was motor racing commentator Murray Walker.
Another regular part of the show was the Short Circus ( the name a pun on short circuit ), a singing group of kids whose songs also facilitated reading comprehension.
Another counterargument to the fifth column theory is that Polish troops were being targeted by advance units of the German regular army ( Heer ), or that the shots were fired by Polish soldiers in the confusion of the mass withdrawal.
In 1986, Another Rainbow / Gladstone Publishing began a tradition of serializing Gottfredson stories in regular Disney monthly comic books, which has continued on and off to the present day.
Another favourite was Kenneth Williams ' country character, Arthur Fallowfield, who was based on Dorset farmer Ralph Wightman, a regular contributor to the BBC radio programme " Any Questions?
Another example of connectivity can be found in regular tilings.
Another regular of his is his greeting when he enters René's Café: " Good Moaning " ( i. e., Good morning )
Another regular feature of Ōmisoka starts at 7: 30 < span style =' font-variant: small-caps '> pm </ span > when public broadcaster NHK airs Kōhaku Uta Gassen (" Red vs. White singing contest "), one of the country's most-watched television programs.
Another facet that showed the diverse nature of this army was that Landwehr ( Militias ) units, some of which were quite poorly trained, were brigaded together with regular troops.
Another factor that seems to be common in many cases is a history of regular strenuous exercise.
Another bar, The Nightingale, was a regular gig, and later became the setting for the song " Defense and Desire ".
Another longtime associate was David Rockefeller ( yet another Bilderberg regular ), who appointed him to the International Advisory Committee ( IAC ) of Chase Manhattan Bank, of which Rockefeller was chairman ; Agnelli sat on this committee for thirty years.
Another regular from that period was the cartoonist Kin Platt, who did weekly theatrical caricatures.
Another " fall preview " show, called The Banana Splits And Friends ( not to be confused with the later half-hour syndicated package The Banana Splits And Friends Show ) aired in The Banana Splits Adventure Hour's regular timeslot on Saturday, August 30, 1969.
Another of his shows is Sekai Marumie (" The World Exposed "), a weekly collection of various interesting video clips from around the world, often focusing on the weird aspects of other countries, and with a regular section on daring rescues, taken from the American program Rescue 911.
Another way of locking merchandise, especially popular in liquor stores, is to place a secure, store-administered hard-plastic cap on a regular bottle top.
Another azide regular is tosyl azide here in reaction with norbornadiene in a nitrogen insertion reaction:
Another example: with from above is regular.
* The Widder Fruitful: Another iconic Dogpatch " regular ," often glimpsed in passing or featured in crowd scenes.

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