# If P, then Q.

* Let Q be a set enclosed between two step regions S and T. A step region is formed from a finite union of adjacent rectangles resting on a common base, i. e. S ⊆ Q ⊆ T. If there is a unique number c such that a ( S ) ≤ c ≤ a ( T ) for all such step regions S and T, then a ( Q )

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.

where Q is the electric charge transferred through the surface over a time t. If Q and t are measured in coulombs and seconds respectively, I is in amperes.

If f is a continuous function, meaning that its graph is an unbroken curve with no gaps, then Q is a continuous function away from.

If the limit exists, meaning that there is a way of choosing a value for Q ( 0 ) that makes the graph of Q a continuous function, then the function f is differentiable at a, and its derivative at a equals Q ( 0 ).

If either P or Q is true and P is false, then Q is true.

If the color of the node to the north of n is target-color, add that node to Q.

If the color of the node to the south of n is target-color, add that node to Q.

: If P, then Q.

: If Q is false, then P is false.

The rules are equivalent ( If you divide both sides of inequality TR > TVC by Q gives P > AVC ).

If Q. northropi is complete enough to be distinguished from other pterosaurs ( i. e., if it is not a nomen dubium ), Hatzegopteryx may represent the same animal.

If P is justified, then another belief Q may be justified by P. If P is not justified, then P cannot be a justifier for any other belief: neither for Q, nor for Qs negation.

If I was George Michael right about now, I'd be shitting myself ") or current events ( a 2000 issue remarked " The Government spent £ 850 million on the Millennium Bug, and the only thing that crashes is Q < nowiki >< nowiki ></ nowiki > out of the Bond films ").

If the circumstances are faced frankly it is not reasonable to expect this to be true.

If his dancers are sometimes made to look as if they might be creatures from Mars, this is consistent with his intention of placing them in the orbit of another world, a world in which they are freed of their pedestrian identities.

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 they avoid the use of the pungent, outlawed four-letter word it is because it is taboo ; ;

If Wilhelm Reich is the Moses who has led them out of the Egypt of sexual slavery, Dylan Thomas is the poet who offers them the Dionysian dialectic of justification for their indulgence in liquor, marijuana, sex, and jazz.

If he is the child of nothingness, if he is the predestined victim of an age of atomic wars, then he will consult only his own organic needs and go beyond good and evil.

If it is an honest feeling, then why should she not yield to it??

If he thus achieves a lyrical, dreamlike, drugged intensity, he pays the price for his indulgence by producing work -- Allen Ginsberg's `` Howl '' is a striking example of this tendency -- that is disoriented, Dionysian but without depth and without Apollonian control.

If love reflects the nature of man, as Ortega Y Gasset believes, if the person in love betrays decisively what he is by his behavior in love, then the writers of the beat generation are creating a new literary genre.

If he is good, he may not be legal ; ;

If the man on the sidewalk is surprised at this question, it has served as an exclamation.

If the existent form is to be retained new factors that reinforce it must be introduced into the situation.

If we remove ourselves for a moment from our time and our infatuation with mental disease, isn't there something absurd about a hero in a novel who is defeated by his infantile neurosis??

If many of the characters in contemporary novels appear to be the bloodless relations of characters in a case history it is because the novelist is often forgetful today that those things that we call character manifest themselves in surface behavior, that the ego is still the executive agency of personality, and that all we know of personality must be discerned through the ego.

If he is a traditionalist, he is an eclectic traditionalist.

If our sincerity is granted, and it is granted, the discrepancy can only be explained by the fact that we have come to believe hearsay and legend about ourselves in preference to an understanding gained by earnest self-examination.

If to be innocent is to be helpless, then I had been -- as are we all -- helpless at the start.

If a nation continues on this path without resistance, Gini claimed the nation would enter a final decadent stage where the nation would degenerate as noted by decreasing birth rate, decreasing cultural output, and the lack of imperial conquest.

* 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 the covariance matrix is not full rank, then the multivariate normal distribution is degenerate and does not have a density.

If the testes fail to secrete testosterone, or the androgen receptors do not function properly, the Wolffian ducts degenerate.

If more than one quantum mechanical state is at the same energy, the energy levels are " degenerate ".

* Early defibrillation-is effective for the management of ventricular fibrillation and pulseless ventricular tachycardia If defibrillation is delayed the rhythm is likely to degenerate into asystole for which outcomes are worse.

If we choose larger, then the four solutions will collapse to zero in terms of and they will become degenerate with the solution we found above.

If this arrhythmia continues for more than a few seconds, it will likely degenerate further into asystole (" flatline ").

If, the conic is degenerate.

If more than one ground state exists, they are said to be degenerate.

If a set of points is not in general linear position, it is called a degenerate case or degenerate configuration — they satisfy a linear relation that need not always hold.

If no four points are collinear, then five points define a unique conic ( degenerate if three points are collinear, but the other two points determine the unique other line ).

If this determinant is zero then x is called a degenerate critical point of f, this is also called a non-Morse critical point of f. Otherwise it is non-degenerate, this is called a Morse critical point of f.

If the Hessian has both positive and negative eigenvalues then x is a saddle point for f ( this is true even if x is degenerate ).

:“ Three forces are laboring for such a sinister peace: ( 1 ) the bourbonism of politicians …; ( 2 ) the materialism of industrial …; ( 3 ) the militarism of professional soldiers …” and “ If the Peace Conference is allowed to remain between governments instead of between peoples it is apt to degenerate …”

If the degree is less than 2, this may be called a " degenerate case ".

If a straight line is considered a degenerate circle with zero curvature ( and thus infinite radius ), Descartes ' theorem also applies to a line and two circles that are all three mutually tangent, giving the radius of a third circle tangent to the other two circles and the line.

If she mates again in the spring, the fall sperm will degenerate, and the spring sperm will fertilize her eggs.

If the conic is a circle, then another degenerate case tells us that for a triangle, the three points that appear as the intersection of a side line with the corresponding side line of the Gergonne triangle, are collinear.

If V is finite-dimensional then, relative to some basis for V, a bilinear form is degenerate if and only if the determinant of the associated matrix is zero – if and only if the matrix is singular, and accordingly degenerate forms are also called singular forms.

If ƒ vanishes identically on all vectors it is said to be totally degenerate.

If A contains the degenerate hyperplane, then it has no regions because the complement is empty.