Examples of using Displaystyle in English and their translations into German
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Colloquial
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Official
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Political
Displaystyle Fraction.
Both rays simultaneously arrive in O{\displaystyle O} again.
Displaystyle Fraction-\\dfrac.
The summation is over all possible single-particle states r{\displaystyle r.
C{\displaystyle c} is the speed of light.
The theory of electron leads to similar conclusions, and I find for the density of the compensation charge,when the velocity has the direction of the z{\displaystyle z}-axis.
Thus in B{\displaystyle B}, the energy quantity.
All of these relations are reciprocal, i.e., one can permute the primed and unprimed letters, when one simultaneously replaces b{\displaystyle b} by- b{\displaystyle-b.
Herein, r{\displaystyle r} is the angle of reflection.
Thus one can say, that the kinetic energy of oursystem was apparently increased by L{\displaystyle L}, or that to the mechanical mass of our system, also an apparent mass.
Space R{\displaystyle R} is thus totally free of radiation.
If we divide away the same factors at both sides,and if we insert for cos φ{\displaystyle\cos\varphi} its value from(6), then under consideration of the corresponding sign.
Μ{\displaystyle\mu} velocity of light in the stationary liquid.
Such one would be the assumption, that the emission capacity of a black body changes with the velocity of translation, so thatit always caeteris paribus is proportional to 1/ ϰ{\displaystyle 1/\varkappa.
Q{\displaystyle q} is the electric charge of the particle.
Since in this case, no force of resistance against the motion of our system is to be expected, then the same pressure into opposite directions must be effective in A{\displaystyle A} and B{\displaystyle B}, so that no work is performed in the whole.
Thus when we denote by p{\displaystyle\rho} the density of the incident wave, by p′{\displaystyle\rho'} that of the reflecting one, then it is.
The exterior space shall have the temperature 0° A(so that the system experiences no external resistance in its motion), while the black surfaces A{\displaystyle A}and B{\displaystyle B} shall have a certain temperature different from zero.
If U{\displaystyle U} denotes the circumference of the polygon, then the same U{\displaystyle U} is thus the light path for both rays; the circulating time is.
For example, Burton(who has 330 photometric observations at his disposal, which were undertaken at the Harvard-Observatory concerning the eclipses of the 1st Jupiter-satellite)estimates the probable error of the final result for v{\displaystyle v} as being 50 km/s;
If it is moving with velocity c{\displaystyle c} in the direction of the normal, i.e., in the direction of the positive X{\displaystyle X}-axis, then it must be.
At one point O{\displaystyle O} of the rim, a light ray is split; part R{\displaystyle R} is circulating clockwise, the other part L{\displaystyle L} counter-clockwise.
The emphasized total relativeradiation(12a) now hits plane B{\displaystyle B} moving in the negative sense, and there it will be partly transformed in mechanical work and partly it is absorbed.
Let φ{\displaystyle\varphi} be the angle, which is enclosed by the absolute direction of the radiation(emanated under the relative angle φ{\displaystyle\phi}) with the direction of c{\displaystyle c.
The total pressure upon one of the surfaces A{\displaystyle A} or B{\displaystyle B}- it is irrelevant as to whether it is imagined as black of reflecting- has the value.
The ratio of the frequencies v{\displaystyle\nu} and v′{\displaystyle\nu'} can be represented in the general case as the ratio of the arcs of two distance lines between common perpendiculars.
Now, in one instant the radiation from A{\displaystyle A} and B{\displaystyle B} shall be left free, and the system shall simultaneously brought to velocity c{\displaystyle c.
The circle diameter 2 r{\displaystyle 2r} amounts to 50 cm; the rotating number N{\displaystyle N} is of order of magnitude 1 or 2 rotations per second; the interference images are made in a photographic way; the photographic plate, the light source, etc..