If the rock is analyzed and found to be felsic but is metamorphic and has no definite volcanic protolith, it may be sufficient to simply call it a ' felsic schist '.

If the objects are indeterminate until one of them is measured, then the question becomes, " How can one account for something that was at one point indefinite with regard to its spin ( or whatever is in this case the subject of investigation ) suddenly becoming definite in that regard even though no physical interaction with the second object occurred, and, if the two objects are sufficiently far separated, could not even have had the time needed for such an interaction to proceed from the first to the second object?

If the composite system is in this state, it is impossible to attribute to either system or system a definite pure state.

If the matrix is positive definite and the problem has a feasible solution, then the global minimizer is unique.

< li > If M is positive definite and r > 0 is a real number, then r M is positive definite.

If M and N are positive definite, then the sum M + N and the products MNM and NMN are also positive definite.

If MN = NM, then MN is also positive definite.

If the system is not closed, however, then it is simply not correct to claim that it has some definite but unknown state vector, as the density operator may record physical entanglements to other systems.

If A has real entries and is symmetric ( or more generally, has complex-valued entries and is Hermitian ) and positive definite, then A can be decomposed as

b. If A is symmetric and positive definite, then we can solve Ax

If the matrix being factorized is positive definite as required, the numbers under the square roots are always positive in exact arithmetic.

If these requirements are not met, it's not possible to interpret the wavefunction as a probability amplitude ; the values of the wavefunction and its first order derivatives may not be finite and definite ( with exactly one value ), i. e. probabilities can be infinite and multiple-valued at any one position and time-which is nonsense, as it does not satisfy the probability axioms.

If the union of impression and faculty be sufficiently strong, consciousness ( not self-consciousness ) arises, and definite sensations and perceptions begin to be formed.

The song " Mississippi Moon " is mainly inspired on the song " If I Could Fly ", which King's X played in shows after they had changed their name to its definite version, King's X.

If q < sub > m </ sub > is positive for all non-zero X < sub > m </ sub >, then the metric is positive definite at m. If the metric is positive definite at every m ∈ M, then g is called a Riemannian metric.

If the integral above was used to give a definite integral between-1 and 1 the answer would be 0.

The reject procedure should be a boolean-valued function that returns true only if it is certain that no possible extension of c is a valid solution for P. If the procedure cannot reach a definite conclusion, it should return false.

If the Lyapunov-candidate-function is locally positive definite and the time derivative of the Lyapunov-candidate-function is locally negative semidefinite:

If the Lyapunov-candidate-function is locally positive definite and the time derivative of the Lyapunov-candidate-function is locally negative definite:

If a continuation card follows a statement that does not permit continuation cards, the compiler will generate a NOP and issue an error message.

If the one- or two-digit address of an index word or electronic switch is used or is included in the operand of an XRESERVE or SRESERVE statement ( see page 99 ), the corresponding index word or electronic switch is reserved.

If a statement has been assigned an address in the index word area

If the symbolic name or actual address of an index word or electronic switch appears or is included in the operand of an XRELEASE or SRELEASE statement ( see page 101 ), the specified index word or electronic switch will again be made available, regardless of the method by which it was reserved.

If he is not told which of four or five readings was meant for him, he can more readily assess each item in a larger frame: `` Does that statement really sound as if it were for me, significant in my particular life??

There are some passages in the writings of Irenaeus where the image of God and the similitude are sharply distinguished, so most notably in the statement: `` If the ( Holy ) Spirit is absent from the soul, such a man is indeed of an animal nature ; ;

If one statement is true in a category C then its dual will be true in the dual category C < sup > op </ sup >.

If the ideals A and B of R are coprime, then AB = A ∩ B ; furthermore, if C is a third ideal such that A contains BC, then A contains C. The Chinese remainder theorem is an important statement about coprime ideals.

If we view the DFT as just a coordinate transformation which simply specifies the components of a vector in a new coordinate system, then the above is just the statement that the dot product of two vectors is preserved under a unitary DFT transformation.

" If the statement is true, then he is lying, even though the statement is true.

If the statement is a lie, then he is not actually lying, even though the statement is a lie.

If a physical object statement is to be translatable into a sense-data statement, the former must be at least deducible from the latter.

If a statement happens to be true in our world, but is false in some other worlds, then it is a contingent truth.

* Klal shehu tzarich lifrat, a generality that requires a particularity, and a particularity that requires a generality: If it is impossible to have the more general law without more specific examples or more specific cases without the statement of the general law, the above three rules don't apply.

If " hate speech " is taken to mean ethnic agitation, it is prohibited in Finland and defined in the section 11 of the penal code, War crimes and crimes against humanity, as publishing data, an opinion or other statement that threatens or insults a group on basis of race, nationality, ethnicity, religion or conviction, sexual orientation, disability, or any comparable basis.

If a person makes the statement " Hello, my name is John Doe " they are making a claim of who they are.

If Joe answers Jim, saying " That may be true for you, but it is not true for me ," he has given an answer which is fallacious as well as being somewhat meaningless in the context of Jim's original statement.

If ( A ) is true, then " This statement is false " is true.

If ( A ) is false, then " This statement is false " is false.

If a statement's truth value is ultimately tied up in some evaluable fact about the world, that statement is " grounded ".

If not, that statement is " ungrounded ".

If the liar means, " It is not the case that this statement is true ", then it is denying itself.