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Page "Matrimony (solitaire)" ¶ 33
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Using and diagram
Using a tree diagram and calculations, he indicates the " divergence of character " from original species into new species and genera.
Using the notation in the diagram on the right, the sides are ( AB ), ( BC ), ( CD ), ( DA ).
Using the theorem we can treat every abelian category as if it is the category of R-modules concerning theorems about existence of morphisms in a diagram and commutativity and exactness of diagrams.
Using these operators he was able to classify different phases of QCD, which form the basis of the QCD phase diagram.
Using a small number of simple rules, each Feynman diagram can be readily expressed in its corresponding algebraic form.
Using its Hess diagram, they found that its evolutionary history may be similar to that of the Pegasus Dwarf Irregular Galaxy.
Using this free-body diagram the torque required to lift or lower a load can be calculated:

Using and above
Using the above theorem it is easy to see that the original Borsuk Ulam statement is correct since if we take a map f: S < sup > n </ sup > → ℝ < sup > n </ sup > that does not equalize on any antipodes then we can construct a map g: S < sup > n </ sup > → S < sup > n-1 </ sup > by the formula
Using a separate statistical evaluation than used above for interventions, civil wars that included pro-or anti-communist forces lasted 141 % longer than the average non-Cold War conflict, while a Cold War civil war that attracted superpower intervention resulted in wars typically lasting over three times as long as other civil wars.
Using the DPV formula above ( FV =$ 150, 000, i = 0. 05, n = 3 ), that means that the value of $ 150, 000 received in three years actually has a present value of $ 129, 576 ( rounded off ).
Using now the power series definition from above we see that for real values of x
Using the conventions above,
Using their data on the time occupied by travel to work, Table 2 below shows the absolute number of people who responded with travel times " at least 15 but less than 20 minutes " is higher than the numbers for the categories above and below it.
Using the example above, the disjunction expresses that it is either raining outside or there is a cold front over Kansas.
* Using the above methods for simple polygons, we discover that particular regions within the polygon may have their area multiplied by a factor which we call the density of the region.
Using values above 128 conflicts with using the 8th bit as a checksum, but the checksum usage gradually died out.
Using the above equation, it is known that if an average speed is 80 kilometers per hour on a 4-hour trip, the distance covered is 320 kilometers.
Using the formula above, we can calculate the amount of power that needs to be generated, at least given extremely efficient heat transfer: P =
Using the example of a solution of two liquids, A and B, if no other gases are present, then the total vapor pressure p above the solution is equal to the weighted sum of the " pure " vapor pressures of the two components, p < sub > A </ sub > and p < sub > B </ sub >.
Using the above examples, Universal Grammar would be the property that the brain has that causes it to posit a difference between nouns and verbs whenever presented with linguistic data.
Using coils with parallel capacitors will form a filter with the topology of an m-derived filter and a band of frequencies above the cut-off will also be passed.
Using the above definition, it is useful to think of the function as a matrix ( called the input matrix ) where each row of the matrix corresponds to X and each column corresponds to Y.
Using these coefficients gives the Taylor polynomial of f. The Taylor polynomial of degree d is the polynomial of degree d which best approximates f, and its coefficients can be found by a generalization of the above formulas.
Using the pseudocode above, the Cray did:
Using the above given notation, suppose that some infinite cardinal.
Using the Boltzmann expression for the mean electron velocity given above with and setting the ion current to zero, the electron saturation current density would be
Using equation in the set above, we have:
Using the above rule, we can complete the proof of Fermat's little theorem quite easily, as follows.
Using the above authorities one then will see whether the property is eligible for the National Register.
Using the equation above, the probability of exactly two tosses out of four total tosses resulting in a heads is given by:
Using Kuratowski's representation for an ordered pair, the second definition above can be reformulated in terms of pure set theory:
Using a marine sextant to measure the altitude of the sun above the horizon

Using and guideline
Using this essay as his guideline, Howard began plotting " The Tower of the Elephant ", a new Conan story that would be the first to truly integrate his new conception of the Hyborian world.
Using this guideline, to achieve the 80-bit strength recommended for high security ( non-military ) by NIST, a passphrase would need to be 58 characters long, assuming a composition that includes uppercase and alphanumeric.
Using this guideline, 218 EBAs were identified when Birdlife International established their Biodiversity project in 1987.

Using and player
Using high ground to further the range of archers ; creating bottle necks ; and whittling down an enemy with hit and run tactics all become crucial strategies in the single player game.
Using software to analyze one's own histories is generally accepted, however acquiring histories of hands in which a player did not participate violates the rules of most cardrooms.
Using the euchre deck, one player will distribute the cards, one at a time, face up in front of each player.
Using computer equipment coupled with an electronic incarnation of the player piano, they created re-performances of Tatum ’ s first four commercial tracks, from March 21, 1933, and the nine tracks from the April 2, 1949 live concert at Los Angeles ' Shrine Auditorium.
Using dice, cards, and counters, the players attempt to score higher than each other by entering the opponent's end zone with a player who possesses the ball.
Using a modified CD player, one could access the game functionality.
Using a certain computer in the Vault will result in the water purification chip being irreparably damaged, thus setting in motion the events of the previous game, that eventually result in the Vault Dweller being exiled and establishing the player character's tribe.
Using the “ Gray Ink Test ,” which awards points based on how often a player is among the league batting leaders, Crawford ranks as the ninth best hitter of all time, ahead of greats such as Ted Williams and Mickey Mantle, among others.
Using a set of pre-existing parts, the player must balance their creations ' settings and performance abilities before the machine is finished and named.
Using a cursor, the player can determine the basic layout of the track and also add points to it to create track elements such as curves and hills.
Using formation rules, a player could move three to five adjacent figures while using only one action.
Using a joystick ( and a firing button to activate a laser-like weapon ), the player navigates a simple maze filled with many robots, who fire lasers back at the player character.
Using a single ball, the player must knock down as many bricks as possible by using the walls and / or the paddle below to ricochet the ball against the bricks and eliminate them.
* Using language or a gesture that is obscene, offensive or of a seriously insulting nature to another player, umpire, referee, team official or spectator.
Using the N64's Rumble Pak allowed the player to feel these game experiences, as well as such things as making a hard landing.
Using a guitar player to provide basslines is particularly effective if a guitar player has a seven-string guitar with a low " B " string.
Using Bond sense slows down time so the player may have a chance to spot objects or enemies, but the player cannot move or take action without deactivating Bond sense.
: Example: Using the ' Polymerization ' spell card and tributing ' Elemental Hero Avian ' and ' Elemental Hero Burstinatrix ' allows the player to specially summon ' Elemental Hero Flame Wingman.
: 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 of his rewarded cards, Gon and Killua travel to the location of a player whom they believe to be Ging.
Using a trumpet rather than a music player, they attract attention and mark their presence.

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