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Page "Ray tracing (graphics)" ¶ 42
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If and quantity
If we take in our hand any volume ; of divinity or school metaphysics, for instance ; let us ask, Does it contain any abstract reasoning concerning quantity or number?
If a compression test does give a low figure, and it has been determined it is not due to intake valve closure / camshaft characteristics, then one can differentiate between the cause being valve / seat seal issues and ring seal by squirting engine oil into the spark plug orifice, in a quantity sufficient to disperse across the piston crown and the circumference of the top ring land, and thereby effect the mentioned seal.
If the quantity of powder stored for personal use exceeds 75 kg, then a Propellant Magazine Licence ( Type P ) is required.
If only because there was a much smaller number of skilled artists, the quantity of icons, in the sense of panel paintings, was much smaller in the West, and in most Western settings a single diptych as an altarpiece, or in a domestic room, probably stood in place of the larger collections typical of Orthodox " icon corners ".
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 a higher minimum wage increases the wage rates of unskilled workers above the level that would be established by market forces, the quantity of unskilled workers employed will fall.
If no minimum wage is in place, workers and employers will continue to adjust the quantity of labor supplied according to price until the quantity of labor demanded is equal to the quantity of labor supplied, reaching equilibrium price, where the supply and demand curves intersect.
* P-Max quantity, price and profit: If a monopolist obtains control of a formerly perfectly competitive industry, the monopolist would increase prices, reduce production, and realise positive economic profits.
If the monopoly were permitted to charge individualised prices ( this is termed third degree price discrimination ), the quantity produced, and the price charged to the marginal customer, would be identical to that of a competitive company, thus eliminating the deadweight loss ; however, all gains from trade ( social welfare ) would accrue to the monopolist and none to the consumer.
If this were all, then the quantity of prions would increase linearly, forming ever longer fibrils.
: If the temperature T of a body is quantified as 300 kelvin ( in which T is the quantity symbol, 300 the value, and K is the unit ), this is written
: If a person traveling with a yardstick, measures the length of such yardstick, the physical quantity of length would be written as
If a photon moves from one place and time – in shorthand, A – to another place and time – shorthand, B – the associated quantity is written in Feynman's shorthand as P ( A to B ).
# If demand increases and supply remains unchanged, then it leads to higher equilibrium price and higher quantity
# If demand decreases and supply remains unchanged, then it leads to lower equilibrium price and lower quantity.
# If demand remains unchanged and supply increases, then it leads to lower equilibrium price and higher quantity.
# If demand remains unchanged and supply decreases, then it leads to higher equilibrium price and lower quantity.
If the demand starts at < tt > D2 </ tt >, and decreases to < tt > D1 </ tt >, the equilibrium price will decrease, and the equilibrium quantity will also decrease.
If the quantity supplied decreases, the opposite happens.
If the supply curve starts at < tt > S2 </ tt >, and shifts leftward to < tt > S1 </ tt >, the equilibrium price will increase and the equilibrium quantity will decrease as consumers move along the demand curve to the new higher price and associated lower quantity demanded.
If goods are homogeneous, firms know that a change in their market share is probably due to a price cut ( or quantity increase ) by another member.

If and under
If a child had a single drop of Negro blood, he would revert to the ancestral line which, except as slaves under a superior race, had not made one step of progress in 3,000 years.
If, as Reid says, `` nearly all his poetry was produced when he was not taking opium '', there may be some reason to doubt that he was under its influence in the period from 1896 to 1900 when he was writing the poems to Katie King and making plans for another book of verse.
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 they give him advice when he asks it, or if they perform specified duties under his direction, the nature of the U. N. will not of necessity change.
If the Republicans and Southern Democrats join to defeat medical care for the old under the Social Security program, they will thereby erect still another barrier to GOP hopes in the cities.
If your child is under 19 or is a student you may also claim an exemption for him if he qualifies as your dependent, even though he earns $600 or more.
If Af are the projections associated with the primary decomposition of T, then each Af is a polynomial in T, and accordingly if a linear operator U commutes with T then U commutes with each of the Af, i.e., each subspace Af is invariant under U.
If a litigant chooses to enforce a Federal right in a State court, he cannot be heard to object if he is treated exactly as are plaintiffs who press like claims arising under State law with regard to the form in which the claim must be stated -- the particularity, for instance, with which a cause of action must be described.
If the church has followed the plan of cultivation of prospects and carried through a program of membership preparation as outlined earlier in this book, the process of assimilation and growth will be well under way.
If the automorphisms of an object X form a set ( instead of a proper class ), then they form a group under composition of morphisms.
If amber is heated under the right conditions, oil of amber is produced, and in past times this was combined carefully with nitric acid to create " artificial musk " – a resin with a peculiar musky odor.
If under the existing system he could not assemble forces quickly enough to intercept mobile Viking raiders, the obvious answer was to have a standing field force.
If there is refraction at a collective spherical surface, or through a thin positive lens, O ' 2 will lie in front of O ' 1 so long as the angle u2 is greater than u1 ( under correction ); and conversely with a dispersive surface or lenses ( over correction ).
* If a fighter was knocked down, he had to rise within 30 seconds under his own power to be allowed to continue.
If present, clue cells can be visualized under a microscope.
* If G is a locally compact Hausdorff topological group and μ its Haar measure, then the Banach space L < sup > 1 </ sup >( G ) of all μ-integrable functions on G becomes a Banach algebra under the convolution xy ( g ) = ∫ x ( h ) y ( h < sup >− 1 </ sup > g )( h ) for x, y in L < sup > 1 </ sup >( G ).
If debts are greater than $ 250, 000, the proposal must be filed under Division 1 of Part III of the Bankruptcy and Insolvency Act.
If the player to move has no legal moves, the game is over ; it is either a checkmate — if the king is under attack — or a stalemate — if the king is not.
" That rich island ," he wrote on 1 December 1881, " the key to the Gulf of Mexico, is, though in the hands of Spain, a part of the American commercial system … If ever ceasing to be Spanish, Cuba must necessarily become American and not fall under any other European domination.
If you slaughter sheep, you will be considered guilty of a crime .” He issued a regulation to that effect ... 1279 / 1280 under Qubilai all the Muslims say: “ if someone else slaughters animal we do not eat ”.
If a scene is to look relatively realistic and predictable under virtual lighting, the rendering software should solve the rendering equation.
If a plan cannot be confirmed, the court may either convert the case to a liquidation under chapter 7, or, if in the best interests of the creditors and the estate, the case may be dismissed resulting in a return to the status quo before bankruptcy.
If we view the DFT as just a coordinate transformation which simply specifies the components of a vector in a new coordinate system, then the above is just the statement that the dot product of two vectors is preserved under a unitary DFT transformation.
If in the third identity we take H = G, we get that the set of commutators is stable under any endomorphism of G. This is in fact a generalization of the second identity, since we can take f to be the conjugation automorphism.
* If we think of as the group of real numbers under addition, then the direct product still consists of.

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