In a Minkowski-space convention with metric $(+---)$ and canonically normalized gauge fields, the displayed Lagrangian density supplies their kinetic term. The Yang-Mills field strength contains a quadratic gauge-potential term, which generates cubic and quartic Yang-Mills self-interactions when the field-strength square is expanded. The coupling can instead be placed as an overall prefactor by rescaling the gauge potential; the normalization convention must be fixed before comparing coefficients.

An elongated water-conducting cell in xylem. Its transport and support roles help explain the hydraulic organization of many gymnosperms.

An age inferred from a cooling model for a white dwarf or a white-dwarf population. The progenitor lifetime must be added to obtain time since stellar formation. Crystallization, composition, envelope properties, population history and observational completeness affect the inference.

The area ratio $r=A_{\mathrm{actual}}/A_{\mathrm{projected}}\ge 1$, not the projected fraction covered by particles. A hemispherical array of footprint coverage $\varphi$ on an exposed flat substrate has $r=1+\varphi$.

For a string occupying $x>0$, its small-slope force on the endpoint is $T{y}_x$. The driver force on the string has the opposite sign, so injected power is $-T{y}_x{y}_t$. A right-going traveling wave has nonnegative outgoing instantaneous power in this ideal model.

The small-slope energy density is $\mathcal{E}=(\rho y_t^2+T{y}_x^2)/2$ and power flux is $P=-T{y}_x{y}_t$. The wave equation gives ${\partial }_t\mathcal{E}+{\partial }_{x}P=0$. For a right-going wave, $P=c\mathcal{E}$; a harmonic wave has mean flux $\rho c{A}^2{\omega }^2/2$.

At a free termination of a taut string, zero transverse force imposes a Neumann boundary condition. Incident and reflected displacement amplitudes add with equal sign so their slopes cancel. The endpoint is a displacement antinode, all incident power is reflected, and the flux $-T{\psi }_x{\psi }_t$ through the boundary vanishes. This is a transverse-wave boundary condition, distinct from the quantum open-string usage of similar notation.

The solution-released mass of an element divided by its initial glass mass fraction and the exposed glass area: $N{L}_e=m_e/(f_{e}S)$. It has units of glass-equivalent mass per area; it does not alone establish congruent dissolution.

Dissolution releasing glass constituents in their bulk proportions. Element-normalised releases then coincide if precipitation, sorption and analytical losses do not selectively remove released constituents.

A single-pass flow-through leach test measures the dissolution of a solid while fresh solution continuously enters a reaction cell and the outlet solution is collected for analysis. Unlike a closed vessel, the cell continually exports dissolved constituents. A reported implementation uses a pump, a solution reservoir, a reaction cell and controlled temperature.^[ref]

At steady state, an elemental mass balance gives the normalized release ratewhere $Q$ is the volumetric volumetric flow rate, $c_e$ is the mass concentration of element $e$, $f_e$ is its initial mass fraction in the solid, and $S$ is the exposed surface area. For example, using litres per day, grams per litre and square metres gives grams of equivalent solid per square metre per day. This expression follows by dividing the exported elemental mass per day by $f_{e}S$.

Changing $Q/S$ changes the accumulation of dissolved material and therefore the chemical affinity for dissolution. A rate independent of further increases in $Q/S$ can help identify a dilute-solution regime. Different elemental release rates can also reveal incongruent dissolution or retention in secondary phases, so interpreting a release rate as whole-solid loss requires an explicit material model.

The dilute-solution dissolution rate at specified temperature, pH and composition, before dissolved reaction products suppress the chemical driving force. It is not a maximum across all temperatures and pH values.

A hydrated, compositionally modified interfacial layer formed during glass corrosion. Its porosity, transport properties and continuing reactions can affect the residual alteration rate.

A low continuing rate after alteration products or solution chemistry have slowed the initial reaction. It need not be zero or represent thermodynamic equilibrium of the original glass.

Element release departing from bulk glass proportions. Selective ion exchange, retention in an alteration layer, sorption and secondary precipitation can all produce noncoincident normalised solution releases.

A glass-durability test with a finite initially specified leachant inventory. Dissolved products, pH and alteration layers evolve, so the test does not maintain the same conditions as continuous fresh-water flow.

Formation of new solids during glass alteration. Such phases can retain selected elements or consume dissolved network constituents, changing the apparent release and reaction rate.