A Foucault pendulum is a long simple pendulum whose suspension allows the bob to swing in both independent horizontal directions. Its slowly changing swing direction relative to the building reveals Earth's rotation. A hinge restricting the bob to one vertical plane would prevent this measurement: the support would impose the very direction we want the pendulum to select freely. Léon Foucault demonstrated the effect in 1851.^[ref]

The bob's back-and-forth oscillation and the swing direction's precession are different motions. The bob traverses its arc in seconds, while successive arcs change direction over hours. In a conical pendulum the bob itself circulates around the vertical; a nearly planar Foucault pendulum instead reverses along an almost straight horizontal trace, whose orientation changes slowly. The measured quantity is that orientation against a fixed floor or wall reference, rather than the bob's instantaneous azimuth.

Inside a spherical body of uniform density, the shell theorem gives gravitational acceleration $g(r)=g(R)r/R$. A simple pendulum at depth $h$ therefore has period $P_h=P_0/\sqrt{1-h/R}$. If its clock is calibrated at the surface, its indicated elapsed time is $t\sqrt{1-h/R}$ and it loses $t[1-\sqrt{1-h/R}]\simeq th/(2R)$. This is a mechanical clock-rate change caused by weaker local gravity, not gravitational time dilation. The uniform-density assumption is essential; Earth's actual density profile gives a different interior field.

Silver bromide is $\mathrm{AgBr}$, a photosensitive silver halide used in photographic emulsions. The behaviour depends on the crystal grain and its defects as well as on the chemical formula.

Exposure creates a latent image that can be amplified during chemical development. Unexposed silver bromide can then be removed through complex formation with thiosulfate, illustrating how photochemistry and coordination chemistry cooperate in one imaging process.

A porous form of silicon dioxide used as an adsorption medium in thin-layer chromatography.

A signal peptidase removes a cleavable signal peptide; a suitable cleavage site and access are required.^[ref]

For the stipulated $180$-amino acid residue precursor under ER signal sequence, removal of the first $20$ amino acid residues leaves $160$. Now stipulate that positions $101$–$120$ of that precursor are instead retained as a stop-transfer sequence. Their positions in the mature chain become $81$–$100$, because the numbering origin changes when the first $20$ positions are removed. The mature chain still has $160$ amino acid residues, but its membrane-spanning segment is retained. A second hypothetical chain with an uncleaved internal signal anchor loses no positions at all. These are conditional bookkeeping examples, not predictions from invented biological sequences.

The period associated with one full cycle of sidereal time.

Chymotrypsin is a digestive serine protease that preferentially cleaves peptide bonds after certain bulky hydrophobic residues, especially aromatic residues. Its binding pocket favours those side chains, while its catalytic machinery hydrolyses the adjacent peptide bond. It is produced as an inactive precursor, limiting unwanted digestion before activation. Sequence preference is conditional rather than an assurance that every matching site in a folded protein is equally accessible. ^[ref]

Pion beta decay changes a charged pion into a neutral pion and a lepton pair through the weak charged current. The small charged-neutral pion mass gap severely restricts phase space, giving an approximately fifth-power dependence on that gap. It does not have the charged-lepton mass suppression of direct leptonic pion decay.

An electron multiplier amplifies a signal by accelerating incoming electrons into surfaces that emit additional secondary electrons. Repeating this process at successive stages produces a measurable charge packet from a small initial signal.

A photomultiplier adds a photosensitive input that converts incident light into a photoelectron; its dynodes then perform multiplication. In a simple equal-stage model with mean secondary yield $\delta$, $m$ stages give mean gain ${\delta }^m$. The output fluctuates because emission is stochastic, and saturation can invalidate constant gain. Multiplication increases the signal scale but cannot recreate input events that were never detected.