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Page "Fick's laws of diffusion" ¶ 33
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If and diffusion
If no bulk flow occurs in an element of length dx, the rates of diffusion of two gases A and B must be equal and opposite, that is.
If is time-dependent, the diffusion length becomes.
If a material that selectively rejects the daughter nuclide is heated, any daughter nuclides that have been accumulated over time will be lost through diffusion, setting the isotopic " clock " to zero.
If the absorption occurs in the junction's depletion region, or one diffusion length away from it, these carriers are swept from the junction by the built-in field of the depletion region.
If the assumptions used to justify this simplified approximation ( i. e. steady-state heat conduction, no convection or advection ) are accepted, we define the simple 1-dimensional heat diffusion equation where temperature T at a depth z and time t is given by the equation:
If contains drift, diffusion and jump parts, then Itō's Lemma for is
* The reason for diffusion is the following: If one changes one bit of the plaintext, then it is fed into an S-box, whose output will change at several bits, then all these changes are distributed by the P-box among several S-boxes, hence the outputs of all of these S-boxes are again changed at several bits, and so on.
If, however, the porous barrier is selective to which ions are let through, then diffusion alone will not determine the resulting solution.
If the water diffuses in a medium with barriers, the diffusion will be uneven, which is termed " anisotropic " diffusion.
If after some time the fluorescence doesn't reach the initial level anymore, then some part of the fluorescence is caused by an immobile fraction ( that cannot be replenished by diffusion ).
If the diffusion coefficient depends on the density then the equation is nonlinear, otherwise it is linear.
If diffusion rates are not taken into account, the reaction rates for various reactions on surfaces depend solely on the rate constants and reactant concentrations.
If the potential applied to the working electrode is great enough ( an overpotential ), then the concentration of analyte next to the working electrode will depend entirely on the rate of diffusion.
If the aquifer has recharging boundary conditions a steady-state may be reached ( or it may be used as an approximation in many cases ), and the diffusion equation ( above ) simplifies to the Laplace equation.
If a manufacture of a CPU requires 35 exposure masks, that translates approximately into 35 x ( photoresist coating, exposure, development, main process step ( like etching, diffusion, metal filling ), photoresist stripping and / or polishing, and other possible steps ) plus additional steps before and after all processing.
If the diffusion is collisional, then δ is the mean free path and τ is the inverse of the collision frequency.
If some solute is dissolved in water its diffusion pressure decreases.
If the eigenvalues of the diffusion vector are sorted such that, then the measures can be calculated as follows:
If a series of diffusion gradients ( i. e. magnetic field variations in the MRI magnet ) are applied that can determine at least 3 directional vectors ( use of 6 different gradients is the minimum and additional gradients improve the accuracy for " off-diagonal " information ), it is possible to calculate, for each voxel, a tensor ( i. e. a symmetric positive definite 3 × 3 matrix ) that describes the 3-dimensional shape of diffusion.
If there is an internal anisotropic organization of the tissue that constrains diffusion, then this fact will be reflected in the pattern of diffusion.
If there are diffusing particles with different sizes ( diffusion coefficients ), it is common to fit to a function that is the sum of single component forms:

If and coefficient
More formally a k-combination of a set S is a subset of k distinct elements of S. If the set has n elements the number of k-combinations is equal to the binomial coefficient
If friction cannot do this ( that is, the coefficient of friction is exceeded ), the ball slides to a different radius where the balance can be realized.
If the incident light is unpolarised ( containing an equal mix of s-and p-polarisations ), the reflection coefficient is
If the lift coefficient for a wing at a specified angle of attack is known ( or estimated using a method such as thin airfoil theory ), then the lift produced for specific flow conditions can be determined using the following equation:
If y is a linear function of x, then the coefficient of x is the slope of the line created by plotting the function.
If ' is positive, the resistance increases with increasing temperature, and the device is called a positive temperature coefficient ( PTC ) thermistor, or posistor.
If ' is negative, the resistance decreases with increasing temperature, and the device is called a negative temperature coefficient ( NTC ) thermistor.
If we now restrict our attention to that portion of the cos ( ωt ) coefficient which varies linearly with V, and then ask ourselves, at what input voltage level, V, will the coefficients of the first and third order terms have equal magnitudes ( i. e., where the magnitudes intersect ), we find that this happens when
If I is an index set and X < sub > I </ sub > is the set of indeterminates X < sub > i </ sub > for i ∈ I, then a monomial X < sup > α </ sup > is any finite product of elements of X < sub > I </ sub > ( repetitions allowed ); a formal power series in X < sub > I </ sub > with coefficients in a ring R is determined by any mapping from the set of monomials X < sup > α </ sup > to a corresponding coefficient c < sub > α </ sub >, and is denoted.
If R is an ordered field, we can order R (( G )) by setting any element to have the same sign as its leading coefficient, defined as the least element of the index set I associated to a non-zero coefficient.
* If the function pq u is expanded in terms of u at one of the corners, the leading term in the expansion has a coefficient of 1.
) If the gaps between the cells of the vessel wall open up then permeability to water is increased first, but as the gaps increase in size permeability to protein also increases with a fall in reflection coefficient.
If this bandwidth is comparable to the width of the absorption features, then the measured extinction coefficient will be altered.
If the angle of attack and velocity remain constant, an increase in the lift coefficient will result, which accounts for the " floating " effect.
For a particle which has equal amplitude to move left and right, the Hermitian matrix H is zero except for nearest neighbors, where it has the value c. If the coefficient is everywhere constant, the condition that H is Hermitian demands that the amplitude to move to the left is the complex conjugate of the amplitude to move to the right.
If the quantity is measured, the value of the physical quantity will be random, with a probability equal to the square of the coefficient of the superposition in the linear combination.
If the adsorbate has a unity sticking coefficient, so that every molecule which reaches the surface sticks to it without re-evaporating, then the monolayer time is very roughly:
If ideal gas is assumed to be 7 / 5 = 1. 4 exactly, the 0 ° C speed is calculated ( see section below ) to be 331. 3 m / s, the coefficient used above.
If the variables are independent, Pearson's correlation coefficient is 0, but the converse is not true because the correlation coefficient detects only linear dependencies between two variables.
If x and y are results of measurements that contain measurement error, the realistic limits on the correlation coefficient are not − 1 to + 1 but a smaller range.
If a population or data-set is characterized by more than two variables, a partial correlation coefficient measures the strength of dependence between a pair of variables that is not accounted for by the way in which they both change in response to variations in a selected subset of the other variables.
If its parents are each two inches taller than the averages for men and women, on average, it will be shorter than its parents by some factor ( which, today, we would call one minus the regression coefficient ) times two inches.

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