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 F ( r ) represents gravity, it is a negative term proportional to 1 / r < sup > 2 </ sup >, so the net acceleration in r in the rotating frame depends on a difference of reciprocal square and reciprocal cube terms, which are in balance in a circular orbit but otherwise typically not.

If the two galaxies do meet they will pass through each other, with gravity distorting both galaxies severely and ejecting some gas, dust and stars into intergalactic space.

If hammering downwards gravity will increase the acceleration during the hammer stroke and increase the energy delivered with each blow.

If hammering upwards gravity will reduce the acceleration during the hammer stroke and therefore reduce the energy delivered with each blow.

* If the destination is farther away, the spaceship must lift itself " up " against the force of the Sun's gravity.

If a constant force such as gravity is added to the system, the point of equilibrium is shifted.

If the theory of quantum gravity also achieves a grand unification of the other known interactions, it is referred to as a theory of everything ( TOE ).

If the mass of the core exceeds the Chandrasekhar limit, electron degeneracy pressure will be unable to support its weight against the force of gravity, and the core will undergo sudden, catastrophic collapse to form a neutron star or ( in the case of cores that exceed the Tolman-Oppenheimer-Volkoff limit ), a black hole.

If the center of gravity exists within the foundations, the body is stable since no net torque acts on the body.

If the center of gravity coincides with the foundations, then the body is said to be metastable.

If a secondary body orbits a primary body, the forces that could tear the second body apart if its strength and internal gravity are not enough, are the tidal force and the " centrifugal force " associated with any rotation of the secondary body about its axis.

If a planet is sufficiently massive, the water on it may be solid even at high temperatures, because of the high pressure caused by gravity, as it was observed on exoplanets Gliese 436 b and GJ 1214 b.

If the reference material is water then a substance with a relative density ( or specific gravity ) less than 1 will float in water.

If a ramjet could accelerate at 10 m / s < sup > 2 </ sup >, slightly more than one Earth gravity, it would attain 77 % of light velocity within a year.

If the object doesn't bounce after it has collided with the Earth, each of them then exerts a repulsive contact force on the other which effectively balances the attractive force of gravity and prevents further acceleration.

If one drops a ball at any given point on a ski run, the ball will be pulled down the hill by gravity and follow a path of least resistance known as the " fall line ".

If you have problems figuring out the centroid equation, remember that a centroid is defined by summing all the moments ( location times mass ) around the center of gravity and equating the sum to zero.

If a unicyclist is ( far ) off balance they can't move their centre of gravity to the other side of the wheel ( the base of which is the fulcrum ) without pushing off a wall ( or similar )— so in order not to fall over, they must turn the wheel ( with their lower body ) and move it ( by pedalling ) underneath their centre of gravity.

If the wire had negligible mass, the center of oscillation was close to the center of gravity of the sphere.

If the string is connected to the shaft with a loop, there may not be enough friction to overcome gravity, and begin winding the string.

If correctly oriented, this can increase the deflection angle above that of a pure gravity assist, resulting in a larger delta-v.

If and are not orthogonal, then there is no solution ; the force of gravity does not have a resultant and cannot be replaced by a single force at any point.