Examples of using Mathrm in English and their translations into Turkish
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Similarly, the peak intensity will be 1/(π s r){\displaystyle 1/(\pi\,\mathrm{sr})} of the total radiated luminous flux.
The two values differ by a factor of gn, the standard acceleration due to gravity 9.80665 m/s² I sp g n v e{\displaystyle I_{\ text{ sp}}g_{\ mathrm{n}}=v_{e.
The beta function, B{\displaystyle\mathrm{B}}, is a normalization constant to ensure that the total probability is 1.
That is dealt with in the next section by adding yet another term,L g f{\displaystyle{\mathcal{L}}_{\mathrm{gf}}}, to the Lagrangian.
The Compton wavelength isbuilt from m e{\displaystyle m_{\mathrm{e}}}, ℏ{\displaystyle\hbar} and the speed of light c{\displaystyle c.
When the amplitude of the(sinusoidal) external force F{\displaystyle F} reaches a critical value Fc r i t{\displaystyle F_{\mathrm{crit}}} instabilities appear.
The Bohr radius is built from theelectron mass m e{\displaystyle m_{\mathrm{e}}}, Planck's constant ℏ{\displaystyle\hbar} and the electron charge e{\displaystyle e.
The velocity, or the rate of change of position with time, is defined as the derivative of the position with respect to time: v d r d t{\displaystyle\mathbf{v}={\mathrm{d}\mathbf{r}\over\mathrm{d} t}\,\!
The observed Doppler velocity, K V s t a r sin( i){\displaystyle K=V_{\mathrm{star}}\sin(i)}, where i is the inclination of the planet's orbit to the line perpendicular to the line-of-sight.
The L-amino acids normally found in proteinscan spontaneously isomerize at the C α{\displaystyle\mathrm{C^{\alpha}}} atom to form D-amino acids.
For Lambertian surfaces,the same factor of π s r{\displaystyle\pi\,\mathrm{sr}} relates luminance to luminous emittance, radiant intensity to radiant flux, and radiance to radiant emittance.
Suppose that the full action of the theory is given by the Einstein-Hilbert termplus a term L M{\displaystyle{\mathcal{L}}_{\mathrm{M}}} describing any matter fields appearing in the theory.
Let L M{\displaystyle{\mathcal{L}}_{\mathrm{M}}} represent the Lagrangian density of matter and L G{\displaystyle{\mathcal{L}}_{\mathrm{G}}} represent the Lagrangian density of the gravitational field.
The net force on a stationary, rigid wire carrying a steady current I isF I∫ d ℓ× B{\displaystyle\mathbf{F}=I\int\mathrm{d}{\boldsymbol{\ell}}\times\mathbf{B}} This is the net force.
Now, according to the fundamental thermodynamic relation, we have: d U T d S-P d V.{\displaystyle\mathrm{d} U=T\mathrm{d} S-P\mathrm{d} V.} As this equation relates changes in thermodynamic state variables, it is valid for any quasistatic change, regardless of whether it is irreversible or reversible.
The δ's before the heat and work terms are used to indicate that they describe an increment of energy which is to beinterpreted somewhat differently than the d U{\displaystyle\mathrm{d} U} increment of internal energy see Inexact differential.
The Knudsen number is a dimensionless numberdefined as K n λ L,{\displaystyle\mathrm{Kn}={\frac{\lambda}{L}},} where λ{\displaystyle\lambda} mean free path, L{\displaystyle L} representative physical length scale.
The cancellation of the positive charge on the lysine weakens the electrostatic attraction for the(negatively charged) nucleic acids.sulfation Tyrosines may become sulfated on their O η{\displaystyle\mathrm{O^{\eta}}} atom.
Given these functions, coordinate surfaces are defined by the relations: x j( x, y, z,…) c o n s t a n t, j 1,…, n.{\displaystyle x^{j}(x, y,z,\dots)=\mathrm{constant},\quad j=1,\\dots,\ n.} The intersection of these surfaces define coordinate lines.
Conversely, an Ehresmann connection H⊂TP(or v: TP→V) on P defines a principal G-connection ω if and only if it is G-equivariant in the sense that H p g d( R g) p(H p){\displaystyle H_{pg}=\mathrm{d}( R_{ g})_{ p} H_{ p.
Mathematically, for rotation about a fixed axis through the center of mass, W∫ θ 1 θ2 τ d θ,{\displaystyle W=\int_{\theta_{1}}^{\theta_{2}}\tau\\mathrm{d}\theta,} where W is work, τ is torque, and θ1 and θ2 represent(respectively) the initial and final angular positions of the body.
This will be much smaller than the object glass diameter, which gives the linear magnification(actually a reduction), the angular magnification can be determined from M A 1/ M D O b j e c t i v e/ D R am s d e n\mathrm{MA} =1/M=D_{\mathrm{Objective}}/{D_{\mathrm{Ramsden.
For a continuous charge distribution in motion, the Lorentz force equation becomes: d F d q(E+ v× B){\displaystyle\mathrm{d}\mathbf{F}=\mathrm{d} q\left(\mathbf{E}+\mathbf{v}\times\mathbf{B}\ right)\,\!} where dF is the force on a small piece of the charge distribution with charge dq.
Although, by Kirchhoff's law, ϵ λ α λ{\displaystyle\epsilon_{\lambda}=\alpha_{\lambda}} in the above equations,the above averages α s u n{\displaystyle\alpha_{\mathrm{sun}}} and ϵ p a i n t{\displaystyle\epsilon_{\mathrm{paint}}} are not generally equal to each other.
For these cases the change in internal energy of a closed system is expressed in a general form by dE δ Q+ δ W{\displaystyle\mathrm{d} E=\delta Q+\delta W} where δ Q{\displaystyle\delta Q} is the heat supplied to the system and δ W{\displaystyle\delta W} is the work applied to the system.
Since the particle speed v< c{\displaystyle v<c} for any particle that has mass(according to special relativity), the phase velocity of matter waves always exceeds c, i.e. v p>c,{\displaystyle v_{\mathrm{p}}>c,\,} and as we can see, it approaches c when the particle speed is in the relativistic range.
A common quantitative criterion is that a particle on average completes at least one gyration around the magnetic field before making a collision, i.e., ω c e/ v c o l l> 1{\displaystyle\omega_{\mathrm{ce}}/v_{\mathrm{coll}}>1},where ω c e{\displaystyle\omega_{\mathrm{ce}}} is the"electron gyrofrequency" and v c o l l{\displaystyle v_{\mathrm{coll}}} is the"electron collision rate.
In contrast to the Faraday effect in solids or liquids, interstellar Faraday rotation(β) has a simple dependence on the wavelength of light(λ), namely:β R M λ 2{\displaystyle\beta=\mathrm{RM}\lambda^{2}} where the overall strength of the effect is characterized by RM, the rotation measure.
Instead of saying F: C→ D{\displaystyle F\colon C\to D} is a contravariant functor, they simply write F: C o p→ D{\displaystyle F\colon C^{\mathrm{op}}\to D}(or sometimes F: C→ D o p{\displaystyle F\colon C\to D^{\mathrm{op}}}) and call it a functor.
If the lens is held at a distance from the object such that its front focal point is on the object being viewed, the relaxed eye(focused to infinity) can view the image with angular magnification M A 25 c m f{\displaystyle\mathrm{MA}={25\\mathrm{cm}\over f}\quad} Here, f f is the focal length of the lens in centimeters.