Resistance to plastic flow associated with grain boundaries obstructing or transmitting dislocations. In the ordinary Hall-Petch regime, smaller grains raise the yield stress, but at high temperature the same boundaries can accelerate diffusion creep.

phosphatidylethanolamine is a glycerophospholipid with an ethanolamine headgroup. Its relatively small headgroup can favor negative monolayer spontaneous curvature, depending on chain composition and conditions.

phosphatidylserine is a glycerophospholipid with a serine-containing headgroup that is normally net negatively charged near physiological pH. Its leaflet distribution contributes to membrane surface properties and protein recruitment.

The Needleman-Wunsch algorithm uses dynamic programming to find an optimal global sequence alignment. For a linear gap penalty $e>0$, set $F_{0j}=-je$, $F_{i0}=-ie$ andThe final entry scores the best alignment of both complete sequences. The recurrence follows because its last step must align two symbols or a symbol and a gap. Unlike local alignment, there is no zero restart, so unmatched ends contribute to the score. ^[ref]

The empirical relation $1/T_g=w_1/T_{g1}+w_2/T_{g2}$ for some homogeneous polymer mixtures or copolymers, with temperatures in kelvin and mass fractions $w_i$.

Infer mantle relaxation from dated relative sea levels and shorelines, geodetic displacements, gravity changes and a reconstructed ice/water load history. The inferred viscosity trades off with ice history, lithospheric thickness, radial structure and transient rheology, so independent constraints and uncertainty propagation are essential.

Expanding the BCS theory near the transition in small pair amplitude and slow spatial gradients produces a local complex order-parameter free energy. The microscopic theory fixes its normalization and coefficients, including the pair's twice-electron charge. This establishes a controlled near-transition relation rather than an exact all-temperature replacement for BCS theory.^[ref]

A phenomenological near-transition relaxation equation for a charged complex order parameter, with a positive real relaxation coefficient in its simplest dissipative form. Under $\Psi \mapsto e^{iq\chi /\hslash }\Psi$, $\mathbf{A}\mapsto \mathbf{A}+\nabla \chi$ and $\varphi \mapsto \varphi -{\partial }_t\chi$, the displayed time derivative transforms covariantly, as does the spatial derivative in the Ginzburg-Landau theory of superconductivity. Microscopic applicability depends on regime and scattering processes; this equation is distinct from a universal conservative condensate wave equation.

With $x$ eastward and $y$ northward, a purely meridional pressure gradient gives the velocity in the title. For $f>0$, pressure increasing northward gives westward wind, leaving lower pressure to the wind's left. Reversing the pressure gradient reverses the velocity. At a fixed gradient and density the speed scales as $1/|\sin \varphi |$; the formal equatorial divergence signals breakdown of geostrophic balance, rather than a real infinite wind.

A steady horizontal parcel with drag acceleration $-r\mathbf{u}$ obeys $0=-{\nabla }_{h}p/\rho -f\hat{\mathbf{z}}\times \mathbf{u}-r\mathbf{u}$. Inverting the horizontal rotation-plus-drag matrix gives the title. For $r>0$, the velocity has a component toward lower pressure and a component along atmospheric isobars. For $p_x=0$, $f>0$, $p_y>0$, both $u,v$ are negative. The cross-isobar angle is $\arctan (r/f)$, and the speed is smaller than the corresponding frictionless wind. A vertically resolved turbulent stress is not generally equivalent to one constant $r$.

A triangular array with nearest-centre spacing $2r$ has primitive cell area $2\sqrt{3}{r}^2$. Dividing the disc area $\pi r^2$ by that area gives packing fraction $\pi /(2\sqrt{3})\simeq 0.9069$.

An explanation in which maternally and paternally inherited copies differ in relatedness to recipients affected by gene expression, generating different favoured expression levels.

Loss of a function favoured because the costs of retaining it exceed its benefits in a specified environment. This hypothesis differs from neutral deterioration under relaxed selection and requires evidence beyond absence of the gene.

Independent cells receive the same apparent label. If barcode probabilities are $p_j$, two independent founders match with probability ${\sum }_j{p}_j^2$, rather than necessarily the inverse of the nominal library size.

A gradient-corrected exchange functional fitted to atomic exchange energies and designed to recover a conventional exchange-energy-per-electron tail $-1/(2r)$ for finite systems. This differs from the exchange potential tail.

A gene model is a structured representation of a gene, including its genomic location and proposed transcript structures. One model can include several splice isoforms with different exon combinations. Changing the reference sequence or adding RNA sequencing evidence can revise boundaries and coding predictions. The model represents current evidence and inference rather than a claim that every included transcript has been observed in every tissue. ^[ref]