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  2. Torricelli's law - Wikipedia

    en.wikipedia.org/wiki/Torricelli's_law

    Experiment to determine the trajectory of an outflowing jet: Vertical rods are adjusted so they are nearly touching the jet. After the experiment the distance between a horizontal line and the location of the jet can be measured by the length adjustments of the rods. Every physical theory must be verified by experiments.

  3. Kuhn length - Wikipedia

    en.wikipedia.org/wiki/Kuhn_length

    The fully stretched length = ⁡ (/). By equating the two expressions for R 2 {\displaystyle \langle R^{2}\rangle } and the two expressions for L {\displaystyle L} from the actual chain and the equivalent chain with Kuhn segments, the number of Kuhn segments N {\displaystyle N} and the Kuhn segment length b {\displaystyle b} can be obtained.

  4. Length constant - Wikipedia

    en.wikipedia.org/wiki/Length_constant

    This means that the length constant is the distance at which 63% of V max has been reached during the rise of voltage. Setting for x = λ for the fall of voltage sets V(x) equal to .37 V max, meaning that the length constant is the distance at which 37% of V max has been reached during the fall of voltage.

  5. Variable pathlength cell - Wikipedia

    en.wikipedia.org/wiki/Variable_pathlength_cell

    Equations [ edit ] The Beer–Lambert law states that there is a logarithmic dependence between the transmission (or transmissivity), T, of light through a substance and the product of the absorption coefficient of the substance, α, and the distance the light travels through the material (i.e. the path length), ℓ.

  6. Mean squared displacement - Wikipedia

    en.wikipedia.org/wiki/Mean_squared_displacement

    The differential equation above takes the form of 1D heat equation. The one-dimensional PDF below is the Green's function of heat equation (also known as Heat kernel in mathematics): P ( x , t ) = 1 4 π D t exp ⁡ ( − ( x − x 0 ) 2 4 D t ) . {\displaystyle P(x,t)={\frac {1}{\sqrt {4\pi Dt}}}\exp \left(-{\frac {(x-x_{0})^{2}}{4Dt}}\right).}

  7. Marcus theory - Wikipedia

    en.wikipedia.org/wiki/Marcus_theory

    In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species (called the electron donor) to another (called the electron acceptor). [1]

  8. Derivation of the Schwarzschild solution - Wikipedia

    en.wikipedia.org/wiki/Derivation_of_the...

    Working in a coordinate chart with coordinates (,,,) labelled 1 to 4 respectively, we begin with the metric in its most general form (10 independent components, each of which is a smooth function of 4 variables).

  9. Cell Transmission Model - Wikipedia

    en.wikipedia.org/wiki/Cell_Transmission_Model

    Newell [10] proposed an exact method to solve the kinematic wave equation based on cumulative curves only at either ends of the corridor, without evaluating any intermediate points. Since the density is constant along the characteristics, if one knows the cumulative curves A(x0,t0) and flow q(x0,t0) at boundary, one can construct the three ...