Examples of using Cdot in English and their translations into Turkish
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
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Programming
Cdot was it? Is this us getting to know each other?
Hence we arrive at∇⋅ g-4 π G ρ,{\displaystyle\nabla\cdot\mathbf{g} =-4\pi G\rho,} which is the differential form of Gauss's law for gravity.
Electric potential, also called voltage(the units for which are the volt), is defined by the line integral φ(r)-∫ C E⋅ d l{\displaystyle\varphi\mathbf{(r)}=-\int_{C}\mathbf{E}\cdot\mathrm{d}\mathbf{l}} where φ(r) is the electric potential, and C is the path over which the integral is being taken.
In this sense, the function χ(⋅){\displaystyle\chi(\cdot)} and P i j…(⋅){\displaystyle\ P_{ij\ldots}(\cdot)} are single-valued and continuous, with continuous derivatives with respect to space and time to whatever order is required, usually to the second or third.
In this short-wavelength limit, it is possible to approximate the solution locally by u( t, x)≈ a( t, x) e i( k⋅ x- ω t){\displaystyle u(t, x)\approx a(t,x)e^{i(k\cdot x-\omega t)}} where k, ω{\displaystyle k,\omega} satisfy a dispersion relation, and the amplitude a( t, x){\displaystyle a(t, x)} varies slowly.
P C S W D PC⋅ P H R{\displaystyle P_{CSWD}={\sqrt{P_{C}\cdot P_{HR}}}} The ratio of harmonic means or"Harmonic means" price index is the harmonic average counterpart to the Dutot index.
Geometrically, the scalar triple product a⋅(b× c){\displaystyle\mathbf{a}\cdot(\mathbf{b}\times\mathbf{c})} is the(signed) volume of the parallelepiped defined by the three vectors given.
Thus Abraham also derived the"transverse mass": m T 3 4⋅ m em⋅ 1 β 2{\displaystyle m_{T}={\frac{3}{4}}\cdot m_{em}\cdot{\frac{1}{\beta^{2}}}\left} On the other hand, already in 1899 Lorentz assumed that the electrons undergo length contraction in the line of motion, which leads to results for the acceleration of moving electrons that differ from those given by Abraham.
Power is the work per unit time,given by P τ⋅ ω,{\displaystyle P={\boldsymbol{\tau}}\cdot{\boldsymbol{\omega}},} where P is power, τ is torque, ω is the angular velocity, and⋅ represents the scalar product.
In differential form this continuity equation becomes:∇⋅J f-∂ ρ f∂ t,{\displaystyle\nabla\cdot{\boldsymbol{J_{f\frac{\partial\rho_{f}}{\partial t}}\,} where the left side is the divergence of the free current density and the right side is the rate of decrease of the free charge density.
The sum of these small amounts of work over the trajectory of the rigid body yields the work, W∫ t 1 t 2 T⋅ ω→ d t.{\displaystyle W=\int_{ t_{ 1}}^{ t_{ 2}}\ mathbf{T}\cdot {\vec {\omega}}dt.} This integral is computed along the trajectory of the rigid body with an angular velocity ω that varies with time, and is therefore said to be path dependent.
Substituting this in Gauss's law gives∇ 2 Φ M∇⋅ M.{\displaystyle\nabla^{2}\Phi_{M}=\nabla\cdot\mathbf{M}.} Thus, the divergence of the magnetization,∇⋅ M,{\displaystyle\scriptstyle\nabla\cdot\mathbf{M},} has a role analogous to the electric charge in electrostatics and is often referred to as an effective charge density ρ M{\displaystyle\rho_{M.
If c(c1, c2, c3) is a third vector, then the triple scalar product equals a⋅( b× c) ε i j k ai b j c k.{\displaystyle\mathbf{a}\cdot(\mathbf{b\times c})=\varepsilon_{ ijk} a^{ i} b^{ j} c^{ k}.} From this expression, it can be seen that the triple scalar product is antisymmetric when exchanging any pair of arguments.
Starting with Gauss's law for electricity(also one of Maxwell's equations) in differential form, one has∇⋅ D ρ f{\displaystyle\mathbf{\nabla}\cdot\mathbf{D}=\rho_{f}} where∇⋅{\displaystyle\mathbf{\nabla}\cdot} is the divergence operator, D electric displacement field, and ρf free charge volume density describing charges brought from outside.
The time derivative of the integral for work yields the instantaneous power, d W d t P( t) F⋅ v.{\displaystyle{\frac{ dW}{ dt}}= P(t)=\ mathbf{F}\cdot\mathbf{v}.} If the work for an applied force is independent of the path, then the work done by the force, by the gradient theorem, defines a potential function which is evaluated at the start and end of the trajectory of the point of application.
There is an energy associated with the presence of an electric dipole in an electric field, F, known in atomic physics as a Stark shift, E S- d⋅ F.{\displaystyle E_{\ text{S}}=-\ mathbf{d}\cdot\mathbf{F}.} Depending on the sign of the projection of the dipole moment onto the local electric field vector, a state may have energy that increases or decreases with field strength low-field and high-field seeking states respectively.