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Thus a prism of 1 Δ would produce 1 cm visible displacement at 100 cm, or 1 meter. This can be represented mathematically as: = where is the amount of prism correction in prism dioptres, and is the angle of deviation of the light.
Amblyopia. Anisometropia is a condition in which a person's eyes have substantially differing refractive power. [1] Generally, a difference in power of one diopter (1D) is the threshold for diagnosis of the condition . [2] [3] Patients may have up to 3D of anisometropia before the condition becomes clinically significant due to headache, eye ...
All two bit errors separated by a distance less than the order of the primitive polynomial which is a factor of the generator polynomial will be detected. The error polynomial in the two bit case is E ( x ) = x i + x k = x k ⋅ ( x i − k + 1 ) , i > k {\displaystyle E(x)=x^{i}+x^{k}=x^{k}\cdot (x^{i-k}+1),\;i>k} .
Incomitant strabismus cannot be fully corrected by prism glasses, because the eyes would require different degrees of prismatic correction dependent on the direction of the gaze. Incomitant strabismus of the eso- or exo-type are classified as "alphabet patterns": they are denoted as A- or V- or more rarely λ -, Y- or X-pattern depending on the ...
Esophoria is an eye condition involving inward deviation of the eye, usually due to extra-ocular muscle imbalance. It is a type of heterophoria. Cause. Causes include: Refractive errors; Divergence insufficiency; Convergence excess; this can be due to nerve, muscle, congenital or mechanical anomalies.
The Ornstein–Uhlenbeck process on , which satisfies the stochastic differential equation = +, has generator: A f ( x ) = θ ( μ − x ) f ′ ( x ) + σ 2 2 f ″ ( x ) {\displaystyle {\mathcal {A}}f(x)=\theta (\mu -x)f'(x)+{\frac {\sigma ^{2}}{2}}f''(x)}
The Fokker–Planck equation for this particle is the Smoluchowski diffusion equation: ∂ t P ( r , t | r 0 , t 0 ) = ∇ ⋅ [ D ( ∇ − β F ( r ) ) P ( r , t | r 0 , t 0 ) ] {\displaystyle \partial _{t}P(r,t|r_{0},t_{0})= abla \cdot [D( abla -\beta F(r))P(r,t|r_{0},t_{0})]}
This is exactly Ohm's law, where the resistance R = V / I is described by the formula R = 8 μ L n 2 π r 4 ( q ∗ ) 2 {\displaystyle R={\frac {8\mu L}{n^{2}\pi r^{4}\left(q^{*}\right)^{2}}}} . It follows that the resistance R is proportional to the length L of the resistor, which is true.
The formula for escape velocity can be obtained from the Vis-viva equation by taking the limit as approaches : v e 2 = G M ( 2 r − 0 ) → v e = 2 G M r {\displaystyle v_{e}^{2}=GM\left({\frac {2}{r}}-0\right)\rightarrow v_{e}={\sqrt {\frac {2GM}{r}}}}
The mathematical derivation for the Eötvös effect for motion along the Equator explains the factor 2 in the first term of the Eötvös correction formula. What remains to be explained is the cosine factor. Because of its rotation, the Earth is not spherical in shape, there is an Equatorial bulge.