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 it does, there is another context switch and memory mapping to complete the call into the user-space server.

If one considers the matrix A as a linear mapping

If so one would expect it to be difficult to prove as the mapping from presentations to simple groups would have to be non-recursive.

If a mapping is available, presentation service data units are encapsulated into session protocol data units, and passed down the stack. This layer provides independence from data representation ( e. g., encryption ) by translating between application and network formats.

* Suppose that is a sequence of Lipschitz continuous mappings between two metric spaces, and that all have Lipschitz constant bounded by some K. If ƒ < sub > n </ sub > converges to a mapping ƒ uniformly, then ƒ is also Lipschitz, with Lipschitz constant bounded by the same K. In particular, this implies that the set of real-valued functions on a compact metric space with a particular bound for the Lipschitz constant is a closed and convex subset of the Banach space of continuous functions.

If I is an index set and X < sub > I </ sub > is the set of indeterminates X < sub > i </ sub > for i ∈ I, then a monomial X < sup > α </ sup > is any finite product of elements of X < sub > I </ sub > ( repetitions allowed ); a formal power series in X < sub > I </ sub > with coefficients in a ring R is determined by any mapping from the set of monomials X < sup > α </ sup > to a corresponding coefficient c < sub > α </ sub >, and is denoted.

If these texture coordinates are linearly interpolated across the screen, the result is affine texture mapping.

If the romanization attempts to transliterate the original script, the guiding principle is a one-to-one mapping of characters in the source language into the target script, with less emphasis on how the result sounds when pronounced according to the reader's language.

This mapping is called a modular parametrization of level N. If N is the smallest integer for which such a parametrization can be found ( which by the modularity theorem itself is now known to be a number called the conductor ), then the parametrization may be defined in terms of a mapping generated by a particular kind of modular form of weight two and level N, a normalized newform with integer q-expansion, followed if need be by an isogeny.

If G, H are graphs, we define a map φ: E ( G ) —> E ( H ) to be cycle-continuous if the pre-image of every cycle of H is a cycle of G. A fascinating conjecture of Jaeger asserts that every bridgeless graph has a cycle-continuous mapping to the Petersen graph.

If we decode by mapping every message received onto the codeword at the center of this sphere, then an error occurs only when the received vector is outside of this sphere, which is very unlikely.

If f is the Gödel mapping and if formula C can be derived from formulas A and B through an inference rule r ; i. e.

If there is an arbitrary-module and an arbitrary mapping, then there exists a unique module homomorphism such that.

If gaps between contigs remain after STS landmark mapping and restriction fingerprinting have been performed, the sequencing of contig ends can be used to close these gaps.

If the front of the shadow volume is capped, the entire shadow volume may be offset slightly away from the light to remove any shadow self-intersections within the offset distance of the silhouette edge ( this solution is more commonly used in shadow mapping ).

If the data is stored such that the physical address of each data segment is assigned a 1-to-1 mapping to a particular device, the device to access each segment requested can be calculated from the address without knowing the offset of the data within the full sequence.

If p is a point of C, then the curve C can be mapped to a subvariety of J with the given point p mapping to the identity of J, and C generates J as a group.

If and are endomorphisms of a medial magma, then the mapping defined by pointwise multiplication

If m is a Radon measure on then the mapping

If f is an element of Diff ( S < sup > 1 </ sup >) then consider the mapping

If an object database is not used, the relational data model should usually be created before the design, since the strategy chosen for object-relational mapping is an output of the OO design process.

If the level is enclosed in a cube, the sky, distant mountains, distant buildings, and other unreachable objects are rendered onto the cube's faces using a technique called cube mapping, thus creating the illusion of distant three-dimensional surroundings.

If W is T-invariant, we can restrict T to W to arrive at a new linear mapping

If the mapping is shared ( the flag is set ), it is kept visible across a fork ( 2 ) system call.