If A taxpayer dies, the executor, administrator, or legal representative must file the final return for the decedent on or before the 15th day of the 4th month following the close of the deceased taxpayer's normal tax year.

If baby teeth are retained too long, the incoming second teeth may be prevented from emerging at the normal time or may have to erupt in the wrong place.

If she has not had such experiences, the female's normal adolescent degree of indecision will be compounded.

If the software works as intended and without issues during normal use, one can reasonably extrapolate the same level of stability in production.

If the heat of vaporization and the vapor pressure of a liquid at a certain temperature is known, the normal boiling point can be calculated by using the Clausius-Clapeyron equation thus:

If one player has not borne off any checkers by the time that player's opponent has borne off all fifteen, then the player has lost a gammon, which counts for double a normal loss.

If the losing player has not borne off any checkers and still has checkers on the bar or in the opponent's home board, then the player has lost a backgammon, which counts for triple a normal loss.

If unaccompanied by depressive counterpart episodes or otherwise general irritability, this behavior is typically called hyperthymia, or happiness, which is, of course, perfectly normal.

Forty-seven years after the initial freeze, Costa Rican President Óscar Arias Sánchez announced on 18 March 2009 that normal relations were to be re-established, saying, " If we have been able to turn the page with regimes as profoundly different to our reality as occurred with the USSR or, more recently, with the Republic of China, how would we not do it with a country that is geographically and culturally much nearer to Costa Rica?

If is an outward pointing in-plane normal, whereas is the unit vector perpendicular to the plane ( see caption at right ), then the orientation of C is chosen so that a tangent vector to C is positively oriented if and only if forms a positively oriented basis for R < sup > 3 </ sup > ( right-hand rule ).

*:* If is normal then

If the spell is successfully cast, it has its normal effects along with added consequences.

If people then experience other cultures that have different values and normal behaviors, they will find that the thought patterns appropriate to their birth culture and the meanings their birth culture attaches to behaviors are not appropriate for the new cultures.

If we are to specify this doctor's normality in sensory terms, we must make reference to a second doctor who, when inspecting the sense organs of the first doctor, would himself have to have the sense data a normal observer has when inspecting the sense organs of a subject who is a normal observer.

If they do not, he promises the books will be burned and all will return to normal.

If an obstacle is encountered on the line, the heavier mass of a locomotive is less likely to be deviated from its normal course.

If the beam of light is not orthogonal ( or rather normal ) to the boundary, the change in wavelength results in a change in the direction of the beam.

If all three are administered immediately one after another, the normal order of administration is: first Penance then Anointing, then Viaticum.

If repeated impulses are administered ( two per second or 2 Hz ), it is normal for CMAP amplitudes to become smaller as the acetylcholine in the motor end plate is depleted.

A good example is a server responsible for TCP / IP connections: If this server is restarted, applications will experience a " lost " connection, a normal occurrence in networked system.

# If move leaves no heap of size 2 or larger, leave an odd ( misère ) or even ( normal ) number of heaps of size 1

Proof: If there is no possible move, then the lemma is vacuously true ( and the first player loses the normal play game by definition ).

If PKU is diagnosed early enough, an affected newborn can grow up with normal brain development, but only by managing and controlling Phe levels through diet, or a combination of diet and medication.

If we change the orientation of the surface element, the direction of the normal force changes accordingly, but the pressure remains the same.

If Af is the operator induced on Af by T, then evidently Af, because by definition Af is 0 on the subspace Af.

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 T is a linear operator on an arbitrary vector space and if there is a monic polynomial P such that Af, then parts ( A ) and ( B ) of Theorem 12 are valid for T with the proof which we gave.

If D denotes the differentiation operator and P is the polynomial Af then V is the null space of the operator p (, ), because Af simply says Af.

If one quantizes a real scalar field, then one finds that there is only one kind of annihilation operator ; therefore, real scalar fields describe neutral bosons.

If there is a bounded linear operator from X onto Y, then Y is reflexive.

If A is a self-adjoint operator, then is always a real number ( not complex ).

If that steady-state signal was interrupted, it indicated one of two things: either the operator was about to start transmitting, or something else had happened to break the connection — such as a physical break in the telegraph line.

If all layers of an image change regularly but a large number of layer still need to be composited ( such as in distributed rendering ), the commutativity of a compositing operator can still be exploited to speed up computation through parallelism even when there is no gain from pre-computation.

If the operator already has this in place, which is often the case today, the network can be upgraded to EDGE by activating an optional software feature.

If G is a group and X is a set, then a ( left ) group action of G on X is a binary operator:

If negation is cyclic and "∨" is a " max operator ", then the law can be expressed in the object language by ( P ∨ ~ P ∨ ~~ P ∨ ... ∨ ~...~ P ), where "~...~" represents n − 1 negation signs and "∨ ... ∨" n − 1 disjunction signs.

If another operator is found before two operands are found, then the old operator is placed aside until this new operator is resolved.

If there are multiple operations, the operator is given immediately after its second operand ; so the expression written " 3 − 4 + 5 " in conventional infix notation would be written " 3 4 − 5 +" in RPN: first subtract 4 from 3, then add 5 to that.

If it is another extension, the operator places the front cord in the associated jack and pulls the front key backwards to ring the called party.

If the customer knew the number, and the point was direct-dialable, the operator would dial the call.

If the distant city did not have dialable numbers, the operator would dial the code for the inward operator serving the called party, and ask her to ring the number.

If the operator could not get through by dialing the number, she could call the inward operator in the destination city, and ask her to try the number, or to test a line to see if it was busy or out of order.

If an array is used to represent a cycle, it is convenient to obtain the index with a modulo operator, which can result in zero.

If a feature was intended to be located from the center of the part, the operator needs to locate it from the center of the model, not, perhaps, from a more convenient edge or an arbitrary point, as he could when using " dumb " solids.