If working in a zinc mine, which he once did for 87-1/2 cents an hour, paid more than playing center field for the Yankees, Mantle would work in a zinc mine.

If A is commutative then the center of A is equal to A, so that a commutative R-algebra can be defined simply as a homomorphism of commutative rings.

If, in an unsharp image, a patch of light corresponds to an object point, the center of gravity of the patch may be regarded as the image point, this being the point where the plane receiving the image, e. g., a focusing screen, intersects the ray passing through the middle of the stop.

If we define r < sub > i </ sub > as the displacement of particle i from the center of mass, and v < sub > i </ sub > as the velocity of particle i with respect to the center of mass, then we have

If the net force on some body is directed always toward some fixed point, the center, then there is no torque on the body with respect to the center, and so the angular momentum of the body about the center is constant.

If one cube has an A atom at its center, the atom is on a site usually occupied by a B atom, and is thus an antisite defect.

If the panegyric detailing the ceremony implied that the true center of the Empire was not Rome, but where the Emperor sat ("... the capital of the Empire appeared to be there, where the two emperors met "), it simply echoed what had already been stated by the historian Herodian in the early third century: " Rome is where the emperor is ".

If multiple symmetry axes are present, they will necessarily intersect at a single point, and this is usually taken to be the center.

If a polyhedron has an element passing through the center of the sphere, the corresponding element of its dual will go to infinity.

If we draw an ellipse twice as long as it is wide, and draw the circle centered at the ellipse's center with diameter equal to the ellipse's longer axis, then on any line parallel to the shorter axis the length within the circle is twice the length within the ellipse.

Formulae connecting a tangential angle, the angle anchored at the ellipse's center ( called also the polar angle from the ellipse center ), and the parametric angle t < ref > If the ellipse is illustrated as a meridional one for the earth, the tangential angle is equal to geodetic latitude, the angle is the geocentric latitude, and parametric angle t is a parametric ( or reduced ) latitude of auxiliary circle </ ref > are:

If the applied voltage is large enough, the liquid crystal molecules in the center of the layer are almost completely untwisted and the polarization of the incident light is not rotated as it passes through the liquid crystal layer.

If inversion through the center of symmetry in a molecule results in the same phases for the molecular orbital, then the MO is said to have gerade, g, symmetry.

If inversion through the center of symmetry in a molecule results in a phase change for the molecular orbital, then the MO is said to have ungerade, u, symmetry.

If all the particles are moving, the center of mass will generally be moving as well.

If the center of mass is moving at velocity, the momentum is:

If the top has mass and its center of mass is at a distance from the pivot point, its gravitational potential is

If G is a p-group, then so is G / Z, and so it too has a nontrivial center.

If the cross stands at the center of Paul's theology, so does the Resurrection: unless the one died the death of all, the all would have little to celebrate in the resurrection of the one.

If two intersecting planes pass through its center, then they will subdivide the sphere into four lunes or biangles, the vertices of which all coincide with the antipodal points lying on the line of intersection of the planes.

If the planes don't pass through the sphere's center, then the intersection is called spheric section.

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.

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 this aspect of death as punishment is not distinguished from the idea of death as natural termination, the conclusion seems inevitable that temporal existence itself is a form of punishment rather than the state into which man is put by the will of the Creator.

If the distinguished name in the add request already exists in the directory, then the server will not add a duplicate entry but will set the result code in the add result to decimal 68, " entryAlreadyExists ".

If the court believes that developments or trends in legal reasoning render the precedent unhelpful, and wishes to evade it and help the law evolve, it may either hold that the precedent is inconsistent with subsequent authority, or that it should be distinguished by some material difference between the facts of the cases.

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 a X. 509v3 certificate is bound to a valid organization's distinguished name within the Directory, then a simple check can be made in regards to the authenticity of the certificate by a comparison with what is presented to the browser with what is present in the Directory.

If the plant is heterosporous, the sporangia-bearing leaves are distinguished as either microsporophylls or megasporophylls.

If the electrode tip is bigger still, in general the activity of individual neurons cannot be distinguished but the electrode will still be able to record a field potential generated by the activity of many cells.

If the cloud layer becomes grayer to the point when individual clouds can ’ t be distinguished, stratocumulus turns into altocumulus.

Haupt's critical work is distinguished by a combination of the most painstaking investigation with bold conjecture ; his oft-cited dictum that " If the sense requires it, I am prepared to write Constantinopolitanus where the MSS have the monosyllabic interjection o " well expresses this boldness.

If seen flying at a distance from where size estimates are unreliable, the distinctly larger Common Ravens ( C. corax ) can be distinguished by their almost lozenge-shaped tail, their larger-looking heads and of course their strongly solitary habits.

If it is compact, then the 2 geometries can be distinguished by whether or not π < sub > 1 </ sub >( M ) has a finite index subgroup that splits as a semidirect product of the normal cyclic subgroup and something else.

If it must be distinguished from other kinds of remanence it is called the saturation remanence or saturation isothermal remanence ( SIRM ) and denoted by M < sub > rs </ sub >.

If our support of King Hussein and the other Arabian leaders of less distinguished origin and prestige means anything it means that we are prepared to recognise the full sovereign independence of the Arabs of Arabia and Syria.

If the participant is successful in this task, they have distinguished between the previously learned words and the lure words.

Thus, if 105 g can ( only just ) be distinguished from 100 g, the jnd ( or differential threshold ) is 5 g. If the mass is doubled, the differential threshold also doubles to 10 g, so that 210 g can be distinguished from 200 g. In this example, a weight ( any weight ) seems to have to increase by 5 % for someone to be able to reliably detect the increase, and this minimum required fractional increase ( of 5 / 100 of the original weight ) is referred to as the " Weber fraction " for detecting changes in weight.

If not Portsea's most distinguished son he was certainly one of its more colourful and enterprising ones.

If, then the distinguished vector in the Hilbert space is thought of as the vacuum state defined by.

If the estimated value of a does lie in this range, it can be said that, at degree of certainty S, any trend in the data cannot be distinguished from random noise.

If distinguished from hypermodernity, supermodernity is a step beyond the ontological emptiness of postmodernism and relies upon a view of plausible truths.

If, at the end of that year, he felt something for Subaru which distinguished him from a thing he could easily destroy, as he could not with any other person, then he would not kill him.

Thus, Chief Justice Roberts has warned that " judges are no longer drawn primarily from among the best lawyers in the practicing bar " and " If judicial appointment ceases to be the capstone of a distinguished career and instead becomes a stepping stone to a lucrative position in private practice, the Framers ' goal of a truly independent judiciary will be placed in serious jeopardy.

If the algebra A is noncommutative, then the commutator with respect to an element of the algebra A defines a linear endomorphism of A to itself, which is a derivation over K. An algebra A equipped with a distinguished derivation d forms a differential algebra, and is itself a significant object of study in areas such as differential Galois theory.