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The equation that they developed is as follows: K − 1 = A ε HG − [ H ] 0 − [ G ] 0 + C H C G A ε HG {\displaystyle K^{-1}={\frac {A}{\varepsilon _{\ce {HG}}}}-[{\ce {H}}]_{0}-[{\ce {G}}]_{0}+{\frac {C_{\ce {H}}C_{\ce {G}}}{A}}\varepsilon _{\ce {HG}}}
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.
EC 50 represents the dose or plasma concentration required for obtaining 50% of a maximum effect in vivo. [1] IC 50 can be determined with functional assays or with competition binding assays. Sometimes, IC 50 values are converted to the pIC50 scale.
In quantum mechanics, perturbation theory is a set of approximation schemes directly related to mathematical perturbation for describing a complicated quantum system in terms of a simpler one. The idea is to start with a simple system for which a mathematical solution is known, and add an additional "perturbing" Hamiltonian representing a weak ...
Surface plasmon resonance ( SPR) is a phenomenon that occurs where electrons in a thin metal sheet become excited by light that is directed to the sheet with a particular angle of incidence, and then travel parallel to the sheet. Assuming a constant light source wavelength and that the metal sheet is thin, the angle of incidence that triggers ...
The result for two conducting spheres in a solvent is the formula of Marcus G = ( 1 2 r 1 + 1 2 r 2 − 1 R ) ⋅ ( 1 ϵ opt − 1 ϵ s ) ⋅ ( Δ e ) 2 {\displaystyle G=\left({\frac {1}{2r_{1}}}+{\frac {1}{2r_{2}}}-{\frac {1}{R}}\right)\cdot \left({\frac {1}{\epsilon _{\text{opt}}}}-{\frac {1}{\epsilon _{\text{s}}}}\right)\cdot (\Delta e)^{2}}
For a given ion denoted A with valence n A, its flux j A —in other words, the number of ions crossing per time and per area of the membrane—is given by the formula j A = − D A ( d [ A ] d z − n A F R T E m L [ A ] ) {\displaystyle j_{\mathrm {A} }=-D_{\mathrm {A} }\left({\frac {d\left[\mathrm {A} \right]}{dz}}-{\frac {n_{\mathrm {A} }F ...
We will start this derivation with the relativistic equation for energy in the electric potential W = m 0 c 2 ( 1 1 − v 2 c 2 − 1 ) − k Z e 2 r {\displaystyle W={m_{\mathrm {0} }c^{2}}\left({\frac {1}{\sqrt {1-{\frac {v^{2}}{c^{2}}}}}}-1\right)-k{\frac {Ze^{2}}{r}}}
Using the same chemical equation again, write the corresponding matrix equation: s 1 CH 4 + s 2 O 2 s 3 CO 2 + s 4 H 2 O {\displaystyle {\ce {{\mathit {s}}_{1}{CH4}+{\mathit {s}}_{2}{O2}->{\mathit {s}}_{3}{CO2}+{\mathit {s}}_{4}{H2O}}}}
The Klein–Gordon equation and the Dirac equation are two such equations. The Klein–Gordon equation, The Klein–Gordon equation, − 1 c 2 ∂ 2 ∂ t 2 ψ + ∇ 2 ψ = m 2 c 2 ℏ 2 ψ , {\displaystyle -{\frac {1}{c^{2}}}{\frac {\partial ^{2}}{\partial t^{2}}}\psi + abla ^{2}\psi ={\frac {m^{2}c^{2}}{\hbar ^{2}}}\psi ,}