Season two's " It's My Party And You'll Die If I Want You To " featured Freddy attacking a high school prom date who stood him up twenty years earlier.

# If A is Lebesgue measurable, then so is its complement.

If the measured value does not lie in B, replace B by its complement for the above state.

If all those bits are Equal to zero, skip the next instruction ; and in any case, replace those bits by their boolean complement.

# Σ is closed under complementation: If A is in Σ, then so is its complement,

If a universe U is defined, then the relative complement of A in U is called the absolute complement ( or simply complement ) of A, and is denoted by A < sup > c </ sup > or sometimes A ′, also the same set often is denoted by < MATH >

If L is recursively enumerable, then the complement of L is recursively enumerable if and only if L is also recursive.

If a normal operator on a finite-dimensional real or complex Hilbert space ( inner product space ) stabilizes a subspace, then it also stabilizes its orthogonal complement.

If the manifold is non-compact, then the fundamental group cannot distinguish the two geometries, and there are examples ( such as the complement of a trefoil knot ) where a manifold may have a finite volume geometric structure of either type.

If S is the complement of a prime ideal I the localization is denoted by R < sub > I </ sub >, and R < sub > f </ sub > is used to denote the localization by the powers of an element f. The two latter cases are fundamental in algebraic theory and scheme theory.

The only answer to that possible today is this: If the Russian Revolution becomes the signal for a proletarian revolution in the West, so that both complement each other, the present Russian common ownership of land may serve as the starting point for a communist development ".

If one takes an " open set " to be a set whose complement is closed, then the family of all open sets forms a topology.

If A is a recursive set then the complement of A is a recursive set.

If an open set V lies in the causal complement of an open set U, then the image of the maps

A family F of graphs is said to be closed under the operation of taking minors if every minor of a graph in F also belongs to F. If F is a minor-closed family, then let S be the set of graphs that are not in F ( the complement of F ).

If the subtrahend has fewer digits than the minuend, leading zeros must be added which will become leading nines when the complement is taken.

They replied: " If the Russian Revolution becomes the signal for a proletarian revolution in the West, so that both complement each other, the present Russian common ownership of land may serve as the starting point for a communist development.

If M is a positive-definite symmetric matrix, then so is the Schur complement of D in M.

If the complement is not finite, but it is countable, then one says the set is cocountable.

** If a simple game is proper and strong, then a coalition is winning if and only if its complement is losing, that is, iff.

If G is a cycle of five vertices, it is isomorphic to its complement, but this property is not true for longer odd cycles, and it is not as trivial to compute the clique number and chromatic number in an odd antihole as it is in an odd hole.

If there is doubt about the cause of the skin lesions, a biopsy of the skin may be performed to distinguish the purpura from other diseases that cause it, such as vasculitis due to cryoglobulinemia ; on microscopy the appearances are of a hypersensitivity vasculitis, and immunofluorescence demonstrates IgA and C3 ( a protein of the complement system ) in the blood vessel wall.

If the complement is finite, then one says Y is cofinite.

If they opted for illusion, it could only be illusion per se -- an illusion of depth, and of relief, so general and abstracted as to exclude the representation of individual objects.

If, on the other hand, they opted for representation, it had to be representation per se -- representation as image pure and simple, without connotations ( at least, without more than schematic ones ) of the three-dimensional space in which the objects represented originally existed.

If the content of faith is to be presented today in a form that can be `` understanded of the people '' -- and this, it must not be forgotten, is one of the goals of the perennial theological task -- there is no other choice but to abandon completely a mythological manner of representation.

If a defendant has been convicted and can prove that his lawyer did not adequately handle his case and that there is a reasonable probability that the result of the trial would have been different had the lawyer given competent representation, he is entitled to a new trial.

If we wish to implement this filter as a digital filter, we can apply the bilinear transform by substituting for the formula above ; after some reworking, we get the following filter representation:

Likewise, a functor from G to the category of vector spaces, Vect < sub > K </ sub >, is a linear representation of G. In general, a functor G → C can be considered as an " action " of G on an object in the category C. If C is a group, then this action is a group homomorphism.

If the object is a vector space we have a linear representation.

If the field of scalars of the vector space has characteristic p, and if p divides the order of the group, then this is called modular representation theory ; this special case has very different properties.

* If G is a topological group and V is a topological vector space, a continuous representation of G on V is a representation ρ such that the application defined by is continuous.

If so, the equivocation would be similar to the Vedic sandhi representation of intervocalic retroflex-ḍ-as-ḷ -.

* If the molecule has some symmetry, the degenerate atomic orbitals ( with the same atomic energy ) are grouped in linear combinations ( called symmetry-adapted atomic orbitals ( SO )), which belong to the representation of the symmetry group, so the wave functions that describe the group are known as symmetry-adapted linear combinations ( SALC ).

If we have a Hamiltonian with a space representation, say

If one uses a composite representation of an " overall " reaction, some may be rational fractions.

If n is odd, this representation is irreducible.

If this happens in an even dimension, the Majorana spinor representation will sometimes decompose into two Majorana – Weyl spinor representations.

If k is a field and G is a group, then a group representation of G is a left module over the group ring k. The simple k modules are also known as irreducible representations.

If the positive axis is also directed rightward, then F is represented by the vector 15 N, and if positive points leftward, then the vector for F is − 15 N. In either case, the magnitude of the vector is 15 N. Likewise, the vector representation of a displacement Δs of 4 meters to the right would be 4 m or − 4 m, and its magnitude would be 4 m regardless.

If a member of the United States Army or Air Force earns multiple awards of the same medal, then instead of wearing a ribbon or medal for each award, he or she wears one metal representation of an " oak leaf cluster " attached to the appropriate ribbon for each subsequent award.

If an end user interaction with dates and times is required, the software will nearly always convert this internal number into a date and time representation that is comprehensible to humans.

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.

If they were to be fully counted as citizens, some sort of representation for apportionment of seats in Congress had to be determined.

If it finds a representation in miniature of the cover placed on the Code of Statutes of the City is still preserved in the Chapter Library of the Duomo of Monza.