If A is the major axis of an ellipsoid and B and C are the other two axes, the radius of curvature in the ab plane at the end of the axis Af, and the difference in pressure along the A and B axes is Af.

If one assumes that the average flux did not change between measurements, a mass-distribution curve is obtained which relates the flux of particles larger than a given radius to the inverse 7/2 power of the radius.

If the pencil with the angle u2 is that of the maximum aberration of all the pencils transmitted, then in a plane perpendicular to the axis at O ' 1 there is a circular disk of confusion of radius O ' 1R, and in a parallel plane at O ' 2 another one of radius O ' 2R2 ; between these two is situated the disk of least confusion.

If friction cannot do this ( that is, the coefficient of friction is exceeded ), the ball slides to a different radius where the balance can be realized.

If a spatial extra dimension is of radius R, the invariant mass of such standing waves would be M < sub > n </ sub > = nh / Rc with n an integer, h being Planck's constant and c the speed of light.

If the edge length of a regular octahedron is a, the radius of a circumscribed sphere ( one that touches the octahedron at all vertices ) is

If the surface of concentric sphere shells were considered, the number of stars on each shell would be proportional to the square of the radius of the shell.

If the arm is not pivoted, but instead carries the stylus along a radius of the disc, there is no skating force and little to no cartridge angle error.

If an object moves with angular velocity ω around a circle of radius r centered at the origin of the x-y plane, then its motion along each coordinate is simple harmonic motion with amplitude r and angular frequency ω.

Consider now the acceleration due to the sphere of mass M experienced by a particle in the vicinity of the body of mass m. With R as the distance from the center of M to the center of m, let ∆ r be the ( relatively small ) distance of the particle from the center of the body of mass m. For simplicity, distances are first considered only in the direction pointing towards or away from the sphere of mass M. If the body of mass m is itself a sphere of radius ∆ r, then the new particle considered may be located on its surface, at a distance ( R ± ∆ r ) from the centre of the sphere of mass M, and ∆ r may be taken as positive where the particle's distance from M is greater than R. Leaving aside whatever gravitational acceleration may be experienced by the particle towards m on account of ms own mass, we have the acceleration on the particle due to gravitational force towards M as:

If we expand a function f in a power series inside a circle of radius R, this means that

If we choose the volume to be a ball of radius a around the source point, then Gauss ' divergence theorem implies that

If they are identical mirrors, their radius of curvature, R < sub > mirror </ sub >, equals L, where L is the distance between the mirrors.

If the clearance from the nearest anticipated path position, over the expected range of Earth radius k-factor, exceeds 0. 6 of the first Fresnel zone radius, the feature is not normally considered an obstruction.

If q is the product of that curvature with the circle's radius, signed positive for epi-and negative for hypo -, then the curve: evolute similitude ratio is 1 + 2q.

If ( for some arbitrary reason ) the cone's proportions have to stay the same, and the height and radius are in a fixed ratio k,

) If c is not the only convergent point, then there is always a number r with 0 < r ≤ ∞ such that the series converges whenever | x − c | < r and diverges whenever | x − c | > r. The number r is called the radius of convergence of the power series ; in general it is given as

If we studied this as a power series, its properties would include, for example, that its radius of convergence is 1.

If the trajectory of the particle is constrained to lie on a cylinder, then the radius R is constant and the velocity and acceleration vectors simplify.

If this is the case, the radius of the core ( 480 km ) is about 63 % of the radius of the moon, and its mass is around 54 % of the moon's mass — the proportions are dictated by the moon's composition.

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 the polarities are correct, the platform rotates in such a direction as to reduce the accelerometer output to zero.

If the polarity is correct, the platform will turn until the heading error angle is zero.

If the minimum legal value for every index is 0, then B is the address of the element whose indices are all zero.

If the path of the particle or centre of mass of the rigid body passes through the given origin, its angular momentum is zero.

If all four players pass in the first round, the deal is not played ; in rubber bridge the deal is not scored and the hand is redealt by the original dealer, while in duplicate the score is recorded as zero for each pair and returned to the board.

If the remaining array to be searched is reduced to zero, then the key cannot be found in the array and a special " Not found " indication is returned.

If we attempt to use the above formula to compute the derivative of f at zero, then we must evaluate 1 / g ′( f ( 0 )).

If they are successful, they receive two points, if they are not, then they receive zero points.

If a simply stable system response neither decays nor grows over time, and has no oscillations, it is marginally stable: in this case the system transfer function has non-repeated poles at complex plane origin ( i. e. their real and complex component is zero in the continuous time case ).

If the desired user's code has nothing in common with the signal the correlation should be as close to zero as possible ( thus eliminating the signal ); this is referred to as cross correlation.

If the code is correlated with the signal at any time offset other than zero, the correlation should be as close to zero as possible.

If the dot product is zero, the two vectors are said to be orthogonal to each other.

If these conditions do not hold, the formula describes a more general affine transformation of the plane provided that the determinant of A is not zero.

If h is negative, then a + h is on the low part of the step, so the secant line from a to a + h is very steep, and as h tends to zero the slope tends to infinity.

If h is positive, then a + h is on the high part of the step, so the secant line from a to a + h has slope zero.

If a vector field F with zero divergence is defined on a ball in R < sup > 3 </ sup >, then there exists some vector field G on the ball with F = curl ( G ).

If the remainder is zero the answer produced is ' yes ', otherwise it is ' no '.

If they fail to perform the dive announced, even if they physically cannot execute the dive announced or if they perform a more difficult dive, they will receive a score of zero.

If a dive is performed which is as submitted but not as ( incorrectly ) announced, it is declared failed and scores zero according to a strict reading of the FINA law.

If an explosive molecule contains just enough oxygen to convert all of its carbon to carbon dioxide, all of its hydrogen to water, and all of its metal to metal oxide with no excess, the molecule is said to have a zero oxygen balance.

If the moments of the aligned and anti-aligned ions balance completely so as to have zero net magnetization, despite the magnetic ordering, then it is an antiferromagnet.

If the arguments are both greater than zero then the algorithm can be written in more elementary terms as follows:

If a and b are not both zero, the greatest common divisor of a and b can be computed by using least common multiple ( lcm ) of a and b:

If this rule is interpreted as saying that straight-line motion is an indication of zero net force, the rule does not identify inertial reference frames, because straight-line motion can be observed in a variety of frames.