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: where θ is the angle of inclination of the normal, and p is the length of the normal.
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where and θ
functions as real combinations of spherical harmonics Y < sub > lm </ sub >( θ, φ ) ( where l and m are quantum numbers ).
On the plane the most common alternative is polar coordinates, where every point is represented by its radius r from the origin and its angle θ.
where θ is the true angle SEE ′, is the apparent angle S ′ EE ′, and is the relative speed between the presumed fixed frame of reference ( such as heliocentric ) and the observer's one.
where θ < sub > r, p </ sub > is the angle between r and p measured from r to p ; an important distinction because without it, the sign of the cross product would be meaningless.
where θ ∈ T < sub > f ( x )</ sub >< sup >*</ sup > N and X < sub > x </ sub > ∈ T < sub > x </ sub > M.
Consistent with the symmetry of the hyperbola, if the transverse axis is aligned with the x-axis of a Cartesian coordinate system, the slopes of the asymptotes are equal in magnitude but opposite in sign, ±, where b = a × tan ( θ ) and where θ is the angle between the transverse axis and either asymptote.
The contact angle, θ < sub > C </ sub >, is the angle formed by a liquid at the three-phase boundary where the liquid, gas, and solid intersect.
: where E is the energy, τ is magnitude of the torque, and θ is the angle moved ( in radians ).
where μ is the location parameter, θ represents additional parameters, and is a function of the additional parameters.
where A and θ < sub > 0 </ sub > are arbitrary constants.
where θ < sub > 1 </ sub > and θ < sub > 2 </ sub > are the angles of incidence of a ray crossing the interface between two media with refractive indices n < sub > 1 </ sub > and n < sub > 2 </ sub >.
where R is the distance to the particle, θ is the scattering angle, n is the refractive index of the particle, and d is the diameter of the particle.
The standard convention ( r, θ, φ ) conflicts with the usual notation for the two-dimensional polar coordinates, where θ is often used for the azimuth.
where r is the distance from the axis of rotation to the particle, F is the magnitude of the force applied, and θ is the angle between the position and force vectors.
where E is the energy, τ is magnitude of the torque, and θ is the angle moved ( in radians ).
where W is work, τ is torque, and θ < sub > 1 </ sub > and θ < sub > 2 </ sub > represent ( respectively ) the initial and final angular positions of the body.
where ( r, θ, φ ) correspond to a spherical coordinate system.
where the numerical aperture is defined as for θ being the half-angle of the cone of rays accepted by the microscope objective.
where and is
But California is where we're goin ''.
He thought of the jungles below him, and of the wild, strange, untracked beauty there and he promised himself that someday he would return, on foot perhaps, to hunt in this last corner of the world where man is sometimes himself the hunted, and animals the lords.
Now I wish to enter the American market, where the competition is very strong.
from downstream, where the water level is much lower, it is a high, elaborately facaded pavilion.
The answers derived by these means may determine not only the temporal organization of the dance but also its spatial design, special slips designating the location on the stage where the movement is to be performed.
Even in domains where detailed and predictive understanding is still lacking, but where some explanations are possible, as with lightning and weather and earthquakes, the appropriate kind of human action has been more adequately indicated.
Robert Penn Warren puts it this way in `` Brother To Dragons '': `` The recognition of complicity is the beginning of innocence '', where innocence, I think, means about the same thing as redemption.
A dominant motive is the poet's longing for his homeland and its boyhood associations: `` Not men-folk, but the fields where I would stray, The stones where as a child I used to play ''.
In a society where everything is for sale, Marlowe is the only man who cannot be bought.
This is done for simplicity of commands and to bring the hidden redundancy up to where misunderstanding has almost zero possibility.
As to benefits to employees, it is notorious for its callous disregard except where it depends on them for services.
`` The Moral Creed '' and `` The Will To Risk '' live happily together, if we do not examine where the line is to be drawn.
Since the slogans have little application to reality and are sanctimonious to boot, the applause is faint even in areas of the world where we should expect to find the greatest affection for free government.
Ptolemy's problem is to forecast where, against the inverted bowl of night, some particular light will be found at future times.
She was exposing herself to temptation which it is best to avoid where it can consistently be done.
Such performance is a great tribute to American scientists and engineers, who in the past five years have had to telescope time and technology to develop these long-range ballistic missiles, where America had none before.
but it is perennially restructured in situations where anchors are dragged or lost.
`` History has this in common with every other science: that the historian is not allowed to claim any single piece of knowledge, except where he can justify his claim by exhibiting to himself in the first place, and secondly to any one else who is both able and willing to follow his demonstration, the grounds upon which it is based.
Finally we may note that the idea appears in educational theory where its influence is at present widespread.
where and angle
Every morning early, in the summer, we searched the trunks of the trees as high as we could reach for the locust shells, carefully detached their hooked claws from the bark where they hung, and stabled them, a weird faery herd, in an angle between the high roots of the tulip tree, where no grass grew in the dense shade.
This angle of just where the Orioles can look for improvement this year is an interesting one.
The result of the observations is Af where the phase angle, Q, is measured in degrees from new moon and the probable errors include absolute as well as relative errors.
According to Philippoff, the recoverable shear S is given by Af where **yc is the angle of extinction.
Babe Ruth, as he always did in the Stadium, played right field to avoid having the sun in his eyes, and Tommy Thevenow, a rather mediocre hitter who played shortstop for the St. Louis Cardinals, knocked a ball with all his might into the sharp angle formed by the permanent stands and the wooden bleachers, where Ruth could not reach it.
where is 1 au, is the phase angle, the angle between the Sun – Body and Body – Observer lines.
For the simple case where the direction of the light beam along the line SE is perpendicular to the motion of the observer then only light emitted at an angle equal to the arc cosine of the ratio of the observer's speed to the speed of light will reach the telescope.
where m and n are nonnegative integers with, is the azimuthal angle in radians, and is the normalized radial distance.
Athletic jump smashes, where players jump upwards for a steeper smash angle, are a common and spectacular element of elite men's doubles play.
Asymmetry can be manifested in the size of the breast, the position of the nipple-areola complex ( NAC ), the angle of the breast, and the position of the inframammary fold, where the breast meets the chest.
where A is the radiation angle of the lamp — the full vertex angle of the emission cone.
The quantum hall effect is another example of measurements with high magnetic fields where topological properties such as Chern-Simons angle can be measured experimentally.
The tension at r is parallel to the curve at r and pulls the section to the right, so it may be written Tu =( Tcos φ, Tsin φ ), where T is the magnitude of the force and φ is the is the angle between the curve at r and the x-axis ( see tangential angle ).
To rotate a figure counterclockwise around the origin by some angle is equivalent to replacing every point with coordinates ( x, y ) by the point with coordinates ( x < nowiki >'</ nowiki >, y < nowiki >'</ nowiki >), where
In more generality, reflection across a line through the origin making an angle with the x-axis, is equivalent to replacing every point with coordinates ( x, y ) by the point with coordinates ( x < nowiki >'</ nowiki >, y < nowiki >'</ nowiki >), where
Thales ' theorem, named after Thales of Miletus states that if A, B, and C are points on a circle where the line AC is a diameter of the circle, then the angle ABC is a right angle.
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