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Compartmental models in epidemiology. SIR model; SIS model; Hagen–Poiseuille equation in blood flow; Hodgkin–Huxley model in neural action potentials; Kardar–Parisi–Zhang equation for bacteria surface growth models; Kermack-McKendrick theory in infectious disease epidemiology; Kuramoto model in biological and chemical oscillations ...
Name Dim Equation Applications Landau–Lifshitz model: 1+n = + Magnetic field in solids Lin–Tsien equation: 1+2 + = Liouville equation: any + = Liouville–Bratu–Gelfand equation
Vector algebra relations — regarding operations on individual vectors such as dot product, cross product, etc. Vector calculus identities — regarding operations on vector fields such as divergence, gradient, curl, etc.
An example of a nonlinear delay differential equation; applications in number theory, distribution of primes, and control theory [5] [6] [7] Chrystal's equation: 1 + + + = Generalization of Clairaut's equation with a singular solution [8] Clairaut's equation: 1
For example, N 2-emission bands (a.k.a. Vegard-Kaplan bands) are present in the spectral range from 0.14 to 1.45 μm (micrometres). [9] A given band can be spread out over several nanometers in electromagnetic wavelength space, owing to the various transitions that occur in the molecule's rotational quantum number, J {\displaystyle J} .
Diethyl ether is a popular non-polar solvent in liquid-liquid extraction. As an extractant, it is immiscible with and less dense than water. Although immiscible, it has significant solubility in water (6.05 g/(100 ml) at 25 °C [ 2 ] ) and dissolves 1.5 g/(100 g) (1.0 g/(100 ml)) water at 25 °C.
It is classified as a non-polar, uncharged (at physiological pH), branched-chain, aliphatic amino acid. It is essential in humans, meaning the body cannot synthesize it. Essential amino acids are necessary in the human diet. In plants isoleucine can be synthesized from threonine and methionine. [2]
Even non-polar bonded silicas have been used with extremely high organic solvent composition, thanks to the exposed patches of silica in between the bonded ligands on the support, which can affect the interactions. [4] With that exception, HILIC phases can be grouped into five categories of neutral polar or ionic surfaces: [5]