If Af leads to an address Af that is equal to the address computed from Af, even though Af does not match Af, the chain of information cells is extended from Af by storing the address of the next available cell in the Y-region, Af, in Af.

If, however, there are no shares left when the chain is founded, then the founding player does not receive the free share.

If there is a tile in 5F, then placing either tile 4F or 5G would result in founding a new hotel chain.

If a tile is placed between two hotel chains of the same size, the individual player who places the tile decides which hotel chain remains on the board and which is acquired.

If two players tie for minority, they will share the minority shareholder bonus. Suppose Festival is the chain being acquired.

If a player holds onto his stock, he runs the risk that the acquired chain may not reemerge before the game ends.

If placing a tile causes three or four chains to merge, then the merger steps are handled between the largest and second-largest chain, then with the third-largest chain, and finally with the smallest chain.

If a is a point in R < sup > n </ sup >, then the higher dimensional chain rule says that:

If the density of the chain is variable then the analysis above can be adapted to produce equations for the curve given the density, or given the curve to find the density.

If a reaction results in a small energy release making way for more energy releases in an expanding chain, then the system will typically collapse explosively until much or all of the stored energy has been released.

If there is another functional group at a carbon, it may be named with the Greek letter, e. g., the gamma-amine in gamma-aminobutanoic acid is on the third carbon of the carbon chain attached to the carboxylic acid group.

If the network is one-dimensional, and the chain of nodes is connected to form a circular loop, the resulting topology is known as a ring.

If a partially ordered set does not contain any infinite descending chains, it is called well-founded or, in some case, Artinian ; it is then said to satisfy the descending chain condition.

If the chain of events leading up to the person having something meets this criterion, they are entitled to it: that they possess it is just, and what anyone else does or doesn't have or need is irrelevant.

If enough nuclear fuel is assembled in one place, or if the escaping neutrons are sufficiently contained, then these freshly emitted neutrons outnumber the neutrons that escape from the assembly, and a sustained nuclear chain reaction will take place.

If the blocks are deselected ( usually by dragging away from them, or tapping another block chain or a single block ), the highlight is removed.

If too many of these neutrons are absorbed by other uranium-235 nuclei, a nuclear chain reaction occurs that results in a burst of heat or ( in special circumstances ) an explosion.

That means, define E ≤ F if E is an initial segment of F and the ordering of the members in E is the same as their ordering in F. If E is a chain in A, then the union of the sets in E can be ordered in a way that makes it a continuation of any set in E ; this ordering is a well ordering, and therefore, an upper bound of E in A.

If a jet aircraft is at full throttle but is tied to a very strong tree with a very strong chain, then the jet engine produces no propulsive power.

If pyramid scheme chain letters are sent through email it may constitute wire fraud.

If the amino acids that are in the chain are changed, the shape of the histone sphere might be modified.

If the engine must be operated in any orientation ( for example a chain saw ), a float chamber cannot work.

If is too small the chain will mix slowly ( i. e., the acceptance rate will be high but successive samples will move around the space slowly and the chain will converge only slowly to ).

* Every rectangle R is in M. If the rectangle has length h and breadth k then a ( R ) =

* 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 ) dμ ( h ) for x, y in L < sup > 1 </ sup >( G ).

If this limit exists, then it may be computed by taking the limit as h → 0 along the real axis or imaginary axis ; in either case it should give the same result.

If h is negative, then a + h is on the low part of the step, so the secant line from a to a + h is very steep, and as h tends to zero the slope tends to infinity.

If h is positive, then a + h is on the high part of the step, so the secant line from a to a + h has slope zero.

If K is a subset of ker ( f ) then there exists a unique homomorphism h: G / K → H such that f = h φ.

If G is a group and X is a set then a group action may be defined as a group homomorphism h from G to the symmetric group of X.

If the minibus exceeds 100 km / h, the beeping will turn into a sustained tone.

If a spatial extra dimension is of radius R, the invariant mass of such standing waves would be M < sub > n </ sub > = nh / Rc with n an integer, h being Planck's constant and c the speed of light.

If c, h, and e were all changed so that the values they have in metric ( or any other ) units were different when we looked them up in our tables of physical constants, but the value of α remained the same, this new world would be observationally indistinguishable from our World.

If the areas of the two parallel faces are A < sub > 1 </ sub > and A < sub > 3 </ sub >, the cross-sectional area of the intersection of the prismatoid with a plane midway between the two parallel faces is A < sub > 2 </ sub >, and the height ( the distance between the two parallel faces ) is h, then the volume of the prismatoid is given by ( This formula follows immediately by integrating the area parallel to the two planes of vertices by Simpson's rule, since that rule is exact for integration of polynomials of degree up to 3, and in this case the area is at most a quadratic in the height.

: If we are given h ( x )= g ( f < sub > 1 </ sub >( x ), ..., f < sub > m </ sub >( x ) )

⟨ H ⟩, be the group generated by H. Then the word problem in H < sup >*</ sup > is solvable: given two words h, k in the generators H of H < sup >*</ sup >, write them as words in X and compare them using the solution to the word problem in G. It is easy to think that this demonstrates a uniform solution the word problem for the class K ( say ) of finitely generated groups that can be embedded in G. If this were the case the non-existence of a universal solvable word problem group would follow easily from Boone-Rogers.

If h has a fixed ( non-zero ) value instead of approaching zero, then the right-hand side of the above equation would be written

If ~ is a unary operation, then h (~ x ) = ~ h ( x ).

If * is a binary operation, then h ( x * y ) = h ( x ) * h ( y ).

If you're lyin' out in the hammock at night, and it gets kinda cool -- you know -- you just take these sides with the fringe on -- see -- and wrap 'em right over you.

If asked how she gets her impressions, she probably can only say that she `` just gets them '' -- some more vividly than others.

If that picture gets around and I find out you had anything to do with it, I'm going to send a couple of my boys around to see you ''.

`` If you kick too much, your leg gets kinda dead '', he explained.

If the batter gets a base hit, which would have scored the runner anyway, the run now becomes earned.

If a player wins two sets, or gets a win and a tie, that player wins the game.

If a kicked ball goes out of bounds, or the kicking team scores a single or field goal as a result of the kick, the other team likewise gets possession.

If several planets in the same system are discovered at the same time, the closest one to the star gets the next letter, followed by the other planets in order of orbital size.

If both fencers hit at the same time, the referee uses the rules of " right of way " to determine which fencer gets the point.

If a player gets a 6 they can separate chances ( the player can separate 6 on one piece and 3 on the other if they get a 6 and a 3, if the pieces are already out of the house ).

If a player ends his stone with a point move he gets a " free turn ".

If one hand wins and the other loses, the player is said to push, and gets back only the money he or she bet.

Commenting on Singer's article " Heavy Petting ," in which he argues that zoosexual activity need not be abusive, and that relationships could form which were mutually enjoyed, Ingrid Newkirk, president of the animal rights group PETA, argued that, " If a girl gets sexual pleasure from riding a horse, does the horse suffer?

He also is skeptical of the film industry going digital, saying, " If it actually gets to the place where you can't show 35 mm film in theatres anymore and everything is digital projection, I won't even make it to 60.

If dark decided to put a piece in the topmost location ( all choices are strategically equivalent at this time ), one piece gets turned over, so that the board appears thus:

If the attorney general isn't appointed as a senator then he automatically gets a seat as one, increasing the number of senators to four.

On television before the game, New York Jets quarterback Joe Namath said, " If Miami gets the kickoff and scores on the opening drive, the game is over .".

If the ball hits the net on the first serve and bounces over into the correct diagonal box then it is called a " let " and the server gets two more additional serves to get it in.

If the server misses his or her first serve and gets a let on the second serve, then they get one more try to get the serve in the box.

If the string is approximated with 100 discrete mass points one gets the 100 coupled second order differential equations (), () and () or equivalently 200 coupled first order differential equations.

If the positive number n becomes infinitely great, the expression 1 / n goes to naught ( or gets infinitely small ).

If no one gets the question right, that question is thrown out and another question is played in the same manner.

If the contestant answers a question incorrectly, then all the money won so far is lost, except that the £ 1, 000 and £ 32, 000 prizes are guaranteed: if a player gets a question wrong above these levels, then the prize drops to the previous guaranteed prize.

If a finite difference is divided by b − a, one gets a difference quotient.