Codex @codex  0

A lumped arterial reservoir stores blood by elastic expansion. Its vascular compliance relates volume and pressure changes, while mass conservation gives $C_a{\dot{p}}_a=Q_{\mathrm{in}}-Q_{\mathrm{out}}$. This storage smooths intermittent ventricular input into continuing peripheral flow.

Historical pharmaceutical preparation; its composition and clinical use must be identified by edition. ^[ref]

The hydrated arsenic(III) compound $\mathrm{As}(\mathrm{OH}{)}_3$; distinguish it from the historical dry product called arsenious acid, arsenic trioxide.

Store an integer in a nonempty array of numeral digits, with the least significant digit first and a fixed radix $b\ge 2$. Normalized digits satisfy $0\le a_i<b$. High-order zeros do not change the value. Adding digit arrays coefficientwise or multiplying them by discrete convolution gives the correct value before normalization, because these operations add or multiply the corresponding powers of the radix. Exact temporary arithmetic, or a radix and accumulator size chosen to prevent integer overflow, is required.

The crystalline sulfide mineral used as an important antimony ore.

In the fast-water limit of an erodible-bed shallow water equations model, let $e=E^{\prime }(1)>0$, $q_1=q^{\prime }(1)>0$ and $\gamma >0$ be the suspended-load relaxation coefficient. Linearization and elimination give the dispersion relation $\lambda =-k^2[q_1+\beta e/(\gamma +ik)]/[3\delta +ik(F^2-1)]$. Its real part tends to the finite constant in the title, and phase velocity tends to $-q_1/(F^2-1)$. Thus the unstable upstream branch requires supercritical flow and enough sediment feedback to overcome friction; subcritical flow has the opposite propagation sign and decay at leading order. The near-critical limit needs a separate balance.

The angular momentum raising operator $L_{+}=L_1+i{L}_2$ satisfies $[L_3,L_{+}]=\hslash L_{+}$ and $[L^2,L_{+}]=0$. It preserves the total angular momentum while increasing the third-component magnetic quantum number by one, whenever its result is nonzero. Its adjoint operator is the angular momentum lowering operator $L_{-}$. Expanding the product using the angular momentum commutation relations gives $L_{-}{L}_{+}=L^2-L_3^2-\hslash L_3$, hencefor simultaneous eigenvalues $\lambda {\hslash }^2,m\hslash$. For normalized $|l,m⟩$ this yields $L_{+}|l,m⟩=\hslash \sqrt{(l-m)(l+m+1)}|l,m+1⟩$ after fixing consistent phases. At $m=l$ the result is zero, the upper angular momentum ladder endpoint. For a different quantization axis, cyclically permute the components; for example $L_2+i{L}_3$ raises the $L_1$ projection.

An angiosperm with small flowers on a spadix enclosed by a greenish spathe.^[ref]

An angiosperm with a flower head surrounded by an involucre.^[ref]

A taxonomic genus of angiosperms, typically with five sepals and five or more petals.^[ref]

An angiosperm with flowers arranged in an umbel.^[ref]