If his circumspection in regard to Philip's sensibilities went so far that he even refused to grant a dispensation for the marriage of Amadee's daughter, Agnes, to the son of the dauphin of Vienne -- a truly peacemaking move according to thirteenth-century ideas, for Savoy and Dauphine were as usual fighting on opposite sides -- for fear that he might seem to be favoring the anti-French coalition, he would certainly never take the far more drastic step of ordering the return of Gascony to Edward, even though, as he admitted to the English ambassadors, he had been advised that the original cession was invalid.

If we are to believe the list of titles printed in Malraux's latest book, La Metamorphose Des Dieux, Vol. 1 ( ( 1957 ), he is still engaged in writing a large novel under his original title.

If the original word was capitalised, then the first letter of its abbreviation should retain the capital, for example Lev.

If Acorn had thought to include this small modification in the original Electron design it is likely the machine would have had a much greater impact as it would have nearly doubled the amount of motion possible in games and saved modes 0 – 3 ( including the only 16 colour mode ) from being nearly useless due to contended memory timings.

* Split ( only available as first decision of a hand ): If the first two cards have the same value, the player can split them into two hands, by moving a second bet equal to the first into an area outside the betting box of the original bet.

If all four players pass in the first round, the deal is not played ; in rubber bridge the deal is not scored and the hand is redealt by the original dealer, while in duplicate the score is recorded as zero for each pair and returned to the board.

If you admired a necklace worn by Bette Davis in The Private Lives of Elizabeth and Essex, you could buy a copy from Joseff of Hollywood, who made the original.

If preserving the original quality of the stream is more important than eliminating the correspondingly larger data sizes, lossless codecs are preferred.

If later characters are stereotypes, it's because they are from the same original mould.

If the original penalty yardage would have resulted in a first down or moving the ball past the goal line, a first down is awarded.

To make a figure larger or smaller is equivalent to multiplying the Cartesian coordinates of every point by the same positive number m. If ( x, y ) are the coordinates of a point on the original figure, the corresponding point on the scaled figure has coordinates

If the earlier completion procedure is applied to a normed vector space, the result is a Banach space containing the original space as a dense subspace, and if it is applied to an inner product space, the result is a Hilbert space containing the original space as a dense subspace.

If Wisda's Landscaping breaks the contract, and Neal Townsend is forced to hire another service for $ 60 an hour, expectation ( direct ) damages paid to Neal Townsend would equal $ 100 ($ 10 an hour, the difference in price between the original contract and the new contract ).

To avoid debates about the possibility of in-vitro fertilization, artificial insemination, or cloning, the original Darwin Awards book applied the following " deserted island " test to potential winners: If the person were unable to reproduce when stranded on a deserted island with a fertile member of the opposite sex, he or she would be considered sterile.

If the polar reciprocal of the canonical form in the sphere is congruent to the original, then the figure is self-dual.

If an aftershock is larger than the main shock, the aftershock is redesignated as the main shock and the original main shock is redesignated as a foreshock.

If this triangulated graph is colorable using four colors or less, so is the original graph since the same coloring is valid if edges are removed.

If we study the Four Noble Truths with the help of these references and explanations, we get a fairly good and accurate account of the essential teachings of the Buddha according to the original texts.

If, supposing it turns out that the original Ship of Theseus, S1, was actually stolen property, and the rightful owner demands its return, should the police give him S2 or S3?

If a compression scheme is lossless — that is, you can always recover the entire original message by uncompressing — then a compressed message has the same quantity of information as the original, but communicated in fewer bits.

If any other person has put in the eye and eyebrow of a face, I can perceive whose work the original face is, and who has painted the eye and eyebrow.

If Joe answers Jim, saying " That may be true for you, but it is not true for me ," he has given an answer which is fallacious as well as being somewhat meaningless in the context of Jim's original statement.

It features the band members ' favorite original songs plus three new tracks, " If I Die Tomorrow ", " Sick Love Song " ( co-written by Sixx and James Michael ), and a cover of The Rolling Stones ' classic " Street Fighting Man ".

If Máel Coluim were present, and the repeated mentions of his piety in the annals make it quite possible that he made a pilgrimage to Rome, as did Mac Bethad mac Findláich (" Macbeth ") in later times, then the coronation would have allowed Máel Coluim to publicly snub Cnut's claims to overlordship.

If the opponent takes, the cube, now showing the doubled stake, is moved to the opponent's side of the board.

If the opponent drops the doubled stakes, he loses the game at the current value of the doubling cube.

" If both opponents roll the same opening number, the doubling cube is incremented on each occasion yet remains in the middle of the board, available to either player.

If F ( r ) represents gravity, it is a negative term proportional to 1 / r < sup > 2 </ sup >, so the net acceleration in r in the rotating frame depends on a difference of reciprocal square and reciprocal cube terms, which are in balance in a circular orbit but otherwise typically not.

If one cube has an A atom at its center, the atom is on a site usually occupied by a B atom, and is thus an antisite defect.

This can be proven as follows: If you consider all the possible ways that the " T " piece can be placed in the large cube ( without regard to any of the other pieces ), it will be seen that it will always fill either two corners of the large cube or zero corners.

If we consider a transparent cube of length on a side, filled with soot, then the optical depth of this medium is inversely proportional to the square of, and therefore proportional to the areal density of soot particles: we can make it easier to see through the imaginary cube just by making the cube larger.

( If a mustard seed is 3 mm in diameter, then taking one seed every 100 years from a seven-mile cube of seeds, would take 936 quintillion years, 68 billion times the age of the universe.

If a point in the Hilbert cube is specified by a sequence with, then a homeomorphism to the infinite dimensional unit cube is given by.

If the User wins a game, the sector the cube fell in is destroyed, and the sprites and binomes who were caught within are turned into energy-draining, worm-like parasites called nulls.

If two cubes are placed alongside each other with a face of each in contact, the pressures and resultant forces on the sides or parts thereof in contact are balanced and may be disregarded, as the contact surfaces are equal in shape, size and pressure distribution, therefore the buoyancy of two cubes in contact is the sum of the buoyancies of each cube.

If the original truncated octahedron has unit edge length, its dual tetrakis cube has edge lengths and.

If the truncated cube has unit edge length, its dual triakis octahedron has edges of lengths 2 and.

If x and y are real, then there is a unique solution and so the cube root of a real number is sometimes defined by this equation.

If this definition is used, the cube root of a negative number is a negative number.

If x and y are allowed to be complex, then there are three solutions ( if x is non-zero ) and so x has three cube roots.

If a number is one cube root of any real or complex number, the other two cube roots can be found by multiplying that number by one or the other of the two complex cube roots of one.

If P is a d-dimensional unit hypercube whose vertices are the integer lattice points all of whose coordinates are 0 or 1, then the t-fold dilation of P is a cube with side length t, containing ( t + 1 )< sup > d </ sup > integer points.