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 fails to exist then there is no oblique asymptote in that direction, even should the limit defining m exist.

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.

He added, `` If this doesn't work out, the three of you barricade yourself in the house and talk terms with them ''.

If Mrs. Wright doesn't accept the terms in the morning, I'll go either to Tokyo or to Holland, to do what I can.

If Joe doesn't show up, we'll all be back here at 0600 hours.

If you have a house which heat doesn't penetrate easily, your unit will have less heat to remove.

If Barnett doesn't call a special session in 1961, it will be the first year in the last decade that the Legislature has not met in regular or special session.

If the defense makes no attempt to put the baserunner out ( for example, if the catcher doesn't even look his way ), the play is scored as defensive indifference ( also called fielder's indifference ), and no stolen base is credited to the runner.

If the player and dealer have the same point total, this is called a " push " and the player typically doesn't win or lose money on that hand.

If the shooter " hits " the point value again ( any value of the dice that sum to the point will do ; the shooter doesn't have to exactly repeat the value combination of the come-out roll ) before rolling a seven, the Pass line wins and a new round starts, usually with the dice staying with the current shooter.

If Neal Townsend breaks the contract and doesn't use any of Wisda's Landscaping's services, expectation damages paid to Wisda's Landscaping would be $ 500, which is the economic loss they suffered.

* If a circle passing through two of the input points doesn't contain any other of them in its interior, then the segment connecting the two points is an edge of a Delaunay triangulation of the given points.

If he doesn't have any money to pay with, he will be put to death.

If we brought Tina's mommy, Ike might not notice the difference, but he doesn't get what he wants.

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.

I must have been there at least 45 minutes when one of the classical musicians said, ' If this guy Arthur Lee doesn't show up soon, I'm leaving.

* If the library doesn't have information on a given topic, or if the library user wants more information, the librarian can refer the library user to another library or to an organization that can be contacted by phone or mail.

If the originating mail program doesn't add a message ID, a server handling the message later on probably will, since a number of programs ( both clients and servers ) want every message to have one to keep track of them.

* If an omniscient entity could always " know " how to create new information it doesn't already know, its never " omniscient ", and never will be or could be ..

If B is true, then God ( or any other person ) does not believe that B is true and thus doesn't know that B is true.

* The airline ticketing agent who checked in Mohamed Atta, the purported leader of the September 11 attacks, and a companion, would afterwards say that looking at the pair his first reaction was to think, " If this doesn't look like two Arab terrorists, I've never seen two Arab terrorists.

Waits has steadfastly refused to allow the use of his songs in commercials and has joked about other artists who do ( commenting " If Michael Jackson wants to work for Pepsi, why doesn't he just get himself a suit and an office in their headquarters and be done with it ?").

Westerberg realized his toughest audience was the band itself, later saying: " If it doesn't rock enough, Bob will scoff at it, and if it isn't catchy enough, Chris won't like it, and if it isn't modern enough, Tommy won't like it ".

If, for some n, such an i doesn't exist, we say that n has infinite total stopping time and the conjecture is false.

If the object doesn't bounce after it has collided with the Earth, each of them then exerts a repulsive contact force on the other which effectively balances the attractive force of gravity and prevents further acceleration.

If one little piece of the evolutionary puzzle doesn't fit the whole thing has to go.