If the transferor has substantial assets other than the claim, it seems reasonable to assume no corporation would be willing to acquire all of its properties in the dim hope of collecting a claim for refund of taxes.

If this woman had delayed until after 11:20 to start her shopping, she would have had little time in which to prepare the substantial meal that was eaten at dinner in those days.

If we add to these contacts with friendly members the `` contacts with an organization of the church '' ( 11.2 per cent of the cases ), then a substantial two thirds of all recruitment is through friendly contact.

If there is a substantial difference between characters ' ranks, the conflict is generally over before the weaker character can react.

If we examine only funds that have survived to the present, we will overestimate past returns because many of the worst-performing funds have not survived, and the observed association between fund youth and fund performance suggests that this bias may be substantial.

If the user has built up a substantial charge, the discharge can jump around the door's edge or pass through the door itself ( dielectric breakdown ).

If the court finds that presented evidence is not sufficient to support the charges or that a motion to render a judgment without substantial consideration of a case is submitted in violation of the requirements stipulated by the Criminal Procedure Code of Georgia, it shall return the case to the prosecution.

If the lex loci arbitri has been ignored, but there was no real and substantial connection between the place of arbitration and the agreement made by the parties, a court in which enforcement is sought may well accept the tribunal's decision.

" I do not refer to real estate, or to personal property or to cold cash, but rather to that in life which tends to make these tangible substances count for most in the daily lives of people, namely, goodwill, fellowship, mutual sympathy and social intercourse among a group of individuals and families who make up a social unit … If he may come into contact with his neighbor, and they with other neighbors, there will be an accumulation of social capital, which may immediately satisfy his social needs and which may bear a social potentiality sufficient to the substantial improvement of living conditions in the whole community.

If the IRS determines that a third-party intermediary firm's worker previously treated as self-employed should have been classified as an employee, the IRS assesses substantial back taxes, penalties and interest on that third-party intermediary company, though not directly against the worker or the end client.

If most of the time the substantial portion of the references aggregate into clusters, and if the shape of this system of clusters can be well predicted, then it can be used for speed optimization.

If such an earthquake were to occur, Fialko's study stated, it would result in substantial damage to Palm Springs and a number of other cities in San Bernardino, Riverside and Imperial counties in California, and Mexicali municipality in Baja California.

If, for example, potential business class customers will pay a large price differential only if economy class seats are uncomfortable while economy class customers are more sensitive to price than comfort, airlines may have substantial incentives to purposely make economy seating uncomfortable.

If there is the potential for a substantial harm to occur that is permanent in nature, such as the execution of a death penalty or the deportation of a person who could face torture, then the author of the complaint can request that it be greeted with Urgency.

If there is a " substantial change " in the database which would be qualified as a " substantial new investment ", a new protection period is granted for the resulting database.

If a substantial amount of matter far from the center of the galaxy that is not emitting light in the mass-to-light ratio of the central bulge is assumed, the rotation curves can be explained.

If finished, the castle would have been able to host two substantial households and their followers, for example the king and queen, or the king, queen and a prince and his own wife.

If a reasonable person in the defendant's position would apprehend the substantial certainty of the consequences of his actions, whether the defendant intended to inflict the injuries is immaterial.

If this happened, it would make Molineux one of the largest stadiums in England providing there are few relocations or substantial expansions by other clubs in the meantime.

If substantial envenomation occurs, symptoms will generally occur within minutes and progress rapidly.

If seeking returns, it is advisable to get to the box office in the early morning hours, as there is invariably a substantial queue.

Heche's first substantial role was in a segment of the 1996 made-for-cable anthology film If These Walls Could Talk, in which she played a college student contemplating an abortion.

If, for instance, we compare this system with that of Valentinus, we discover at once so much agreement in essential features as to assure us of the substantial identity of the foundation of the two systems ; but the Valentinian system contains several things derived from Greek philosophy, whereas that which we have described can be explained from purely Oriental sources.

If a work is divided into several large segments, a last-minute drawing of random numbers may determine the order of the segments for any particular performance.

If he can't play with Mommy's magazines, he should have some old numbers of his own.

If we are discussing differentiable complex-valued functions, then Af and V are complex vector spaces, and Af may be any complex numbers.

If he does, it's still better than an even chance he won't notice the transposition of the numbers, and if he should notice it, the thing can be passed off as an honest mistake.

* If numbers have mean X, then.

* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.

** If the set A is infinite, then there exists an injection from the natural numbers N to A ( see Dedekind infinite ).

If, however, the numbers are referring to allies it could possibly include forces from Tyre, Judah, Edom, and Moab.

If a is algebraic over K, then K, the set of all polynomials in a with coefficients in K, is not only a ring but a field: an algebraic extension of K which has finite degree over K. In the special case where K = Q is the field of rational numbers, Q is an example of an algebraic number field.

Let ( m, n ) be a pair of amicable numbers with m < n, and write m = gM and n = gN where g is the greatest common divisor of m and n. If M and N are both coprime to g and square free then the pair ( m, n ) is said to be regular, otherwise it is called irregular or exotic.

If X is a Banach space and K is the underlying field ( either the real or the complex numbers ), then K is itself a Banach space ( using the absolute value as norm ) and we can define the continuous dual space as X ′ = B ( X, K ), the space of continuous linear maps into K.

If the exponent r is even, then the inequality is valid for all real numbers x.

If the convention B < sub > 1 </ sub >=− is used, this sequence is also known as the first Bernoulli numbers ( / in OEIS ); with the convention B < sub > 1 </ sub >=+ is known as the second Bernoulli numbers ( / in OEIS ).

If the shooter rolls one of these numbers on the come-out roll, this establishes the " point "-to " pass " or " win ", the point number must be rolled again before a seven.

If is a convex set, for any in, and any nonnegative numbers such that, then the vector

If n ≥ 1 and is an integer, the numbers coprime to n, taken modulo n, form a group with multiplication as operation ; it is written as ( Z / nZ )< sup >×</ sup > or Z < sub > n </ sub >< sup >*</ sup >.

If the numbers describing the position of the pyramid were changed and this process repeated, the pyramid would appear to move.

From the criterion it also follows that Carmichael numbers are cyclic .< ref > Proof sketch: If is square-free but not cyclic, for two prime factors and of.

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 x and y are real numbers, and if the graph of y is plotted against x, the derivative measures the slope of this graph at each point.

If we look for solutions that have the form, where C is a constant, we discover the relationship, and thus must be one of the complex numbers or.

If the matrix entries are real numbers, the matrix can be used to represent two linear mappings: one that maps the standard basis vectors to the rows of, and one that maps them to the columns of.

* If we think of as the set of real numbers, then the direct product is precisely just the cartesian product,.

* If we think of as the group of real numbers under addition, then the direct product still consists of.