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If and limit
If the media agency responsible for the authorized production allows material from fans, what is the limit before legal constraints from actors, music, and other considerations, come into play?
If this limit doesn't exist then there is no oblique asymptote in that direction.
If α is an integer, the limit has to be calculated.
If a main-sequence star is not too massive ( less than approximately 8 solar masses ), it will eventually shed enough mass to form a white dwarf having mass below the Chandrasekhar limit, which will consist of the former core of the star.
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.
This is a Cauchy sequence of rational numbers, but it does not converge towards any rational limit: If the sequence did have a limit x, then necessarily x < sup > 2 </ sup > = 2, yet no rational number has this property.
If the limit exists, then f is differentiable at a.
If the limit exists, meaning that there is a way of choosing a value for Q ( 0 ) that makes the graph of Q a continuous function, then the function f is differentiable at a, and its derivative at a equals Q ( 0 ).
If it can be claimed that it is ethical to limit the internet and other technology to only users who have the means to utilize these software, then there is no argument against the way things are at the moment ; there is no need to complain if all morality is in affect.
Given a trigonometric series f ( x ) with S as its set of zeros, Cantor had discovered a procedure that produced another trigonometric series that had S ' as its set of zeros, where S ' is the set of limit points of S. If p ( 1 ) is the set of limit points of S, then he could construct a trigonometric series whose zeros are p ( 1 ).
If and then the limit is where is the complete elliptic integral of the first kind
If the limit exists, we say that ƒ is complex-differentiable at the point z < sub > 0 </ sub >.
This can be verified simply by investigating, e. g., a polycrystalline material under a polarizing microscope having the polarizers crossed: If the crystallites are larger than the resolution limit, they will be visible.
If it does, however, it is unique in a strong sense: given any other inverse limit X ′ there exists a unique isomorphism X ′ → X commuting with the projection maps.
If a claims adjuster suspects under-insurance, the condition of average may come into play to limit the insurance company's exposure.
If the time limit is reached and only one competitor has a point, that competitor wins.
If the brightness of the object exceeded the maximum limit of eight times the brightness of Canopus, the spacecraft would search for a new star.
If the offer is for a longer period courts will limit the offer period to 90 days.
If ( x < sub > α </ sub >) is a net in the topological space X, and x is an element of X, we say that the net converges towards x or has limit x and write
If a criminal is on the run, he can be convicted in absence, in order to prevent prescription, or the time limit does not elapse during that time.

If and fails
If the city council fails to consider appointment of a full-time CD director, Mr. Hawksley said, then he plans to call a meeting early in September so that a civil defense organization will be developed locally.
If it fails to pass, he can throw up his hands and say the Legislature would not support him in his efforts to prevent integration.
If a single test fails, then the theory is falsified.
If the bankrupt fails to lodge the document within a certain period of time, he or she can be prosecuted and fined.
If the bankrupt fails to pay the contributions due, the trustee can issue a notice to garnishee the bankrupt's wages.
If a team fails to gain ten yards in two downs they usually punt the ball on third down or try to kick a field goal ( see below ), depending on their position on the field.
* If the offence fails to make ten yards in three plays, the defence takes over on downs.
* If the offence fumbles ( a ball carrier drops the football, or has it dislodged by an opponent, or if the intended player fails to catch a lateral pass or a snap from centre, or a kick attempt is blocked by an opponent ), the ball may be recovered ( and advanced ) by either team.
He is still seeking greater autonomy from China, although Dolma Gyari, deputy speaker of the parliament-in-exile has stated " If the middle path fails in the short term, we will be forced to opt for complete independence or selfdetermination as per the UN charter ".
If the Dance Gauge is fully depleted during gameplay, the player fails the song, usually resulting in a game over.
< tr >< td > If variolation after infection with cowpox fails to produce a smallpox infection, immunity to smallpox has been achieved.
If power fails, all essential equipment will run off huge batteries for up to 20 minutes, during which time four one-megawatt diesel generators will take over.
If the implementation of the change should fail or, the post implementation testing fails or, other " drop dead " criteria have been met, the back out plan should be implemented.
If this continues far enough, the working end passes into the knot and the knot unravels and fails.
If a team does not attempt to score a field goal ( or the ball fails to make contact with the rim ) within 24 seconds of obtaining the ball, play is stopped and the ball given to its opponent.
If the egg fails to release from the follicle in the ovary an ovarian cyst may form.
If a player fails to make the contract and takes overtrick ( s ), he / she scores the number of tricks taken.
If he fails on the turn, he then has a 9 / 46 chance to fill on the river.
If any goal fails in the course of executing the program, all variable bindings that were made since the most recent choice-point was created are undone, and execution continues with the next alternative of that choice-point.
If this fails then watermark fluid may be used, which " wets " the stamp to reveal the mark.
If the vaulter fails to begin an attempt within this time, the vaulter is charged with a time foul and the attempt is a miss.
If one peer on the network fails to function properly, the whole network is not compromised or damaged.
If the child drops the gun and it breaks someone's foot, the HWR test fails, as a broken foot was not the type of harm anticipated.
If the visitor fails to do so, usually a quarantine fine of 220 Australian dollars are to be paid as quarantine infringement notice, and if not, the visitor may face criminal convictions of fining 100, 000 Australian dollars and 10 years imprisonment.

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