Artificial intelligent assistant

cubically

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cubically
ˈcubically, adv. [f. cubical + -ly2.] In a cubical manner; to the third power or cube; in the form of a cube or cubes.1571 Digges Pantom. iii. xiii. S j b, Augment the diameter of the wine vessell cubically, that is to say, by hys owne square. 1653 H. More Conject. Cabbal. (1662) 164 Such is sixty-f... Oxford English Dictionary
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Europium(III) phosphide
Like sodium chloride, it crystallizes cubically in the space group Fm3m with cell parameter a = 575.5 nm with four formula units per unit cell. wikipedia.org
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cubicly
† cubicly, adv. Obs. rare. In 6 cubikely. [f. cubic + -ly2.] = cubically.1551 Recorde Cast. Knowl. (1556) 156 The cubes do beare the lyke rate cubikly multiplied, as if the sydes be as two to one. 1557 ― Whetst. O ij, I multiplie .8..Cubikely, and it maketh .512. Oxford English Dictionary
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Aberth method
This method converges cubically, an improvement over the Durand–Kerner method, another algorithm for approximating all roots at once, which converges quadratically wikipedia.org
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Finding parameter so Newton Method converges cubically Consider the function $\phi(x)=x^b(x^2-a)$. Find a value for $b\neq 0$ independent of $a$ so that the Newton Interative Method for $\phi$ locally converges cubica...
We set $\phi''(\sqrt{a}\,)=0$ using these steps: \begin{align*} \phi(x)&=x^{b+2}-a x^b\\\ \phi'(x)&=(b+2)\,x^{b+1}-ab\,x^{b-1}\\\ \phi''(x)&=(b+1)(b+2)\,x^b-ab(b-1)\,x^{b-2}\\\ \phi''(\sqrt{a}\,)&=(b+1)(b+2)\,a^{b/2}-ab(b-1)\,a^{b/2-1}\overset{\text{set}}{=}0. \end{align*} The $a^{b/2}$ factor is ne...
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Cube root
Halley's method improves upon this with an algorithm that converges more quickly with each iteration, albeit with more work per iteration: This converges cubically wikipedia.org
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An algorithm for computing $\pi^{-1}$ Wikipedia: Borwein's algorithm claims > Start out by setting > > $$\begin{align} a_0 & = \frac{1}{3} \\\ s_0 & = \frac{\sqrt{3} - 1}{2} \end{align} $$ > > Then iterate > > $$ ...
Is this equivalent to Theorem 6.1 here? The reference is to J.M. Borwein and P.B. Borwein, A cubic counterpart of Jacobi's identity and the AGM, Trans. Amer. Math. Soc., 323 (1991), 691--701.
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Magneto-electric spin-orbit
integration density, possess non-volatility which allows for ultra low standby power consumption, and the energy required to switch MESO devices scales down cubically wikipedia.org
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Laricifomes officinalis
As they age, they begin to exhibit red, brown, or gray developments in coloration, cracking cubically with thick white felts visible in larger cracks. wikipedia.org
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IEEE 1902.1
Inductive coupling power falls cubically with the distance between the Controller and Responder. As the medium in an inductive signal, the signal diminishes cubically, so the Responders must sleep quite a long time in order to store enough energy to wikipedia.org
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Sodium oxide
positions of the anions and cations are reversed relative to their positions in CaF2, with sodium ions tetrahedrally coordinated to 4 oxide ions and oxide cubically wikipedia.org
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Laguerre's method
Properties If is a simple root of the polynomial , then Laguerre's method converges cubically whenever the initial guess is close enough to the root wikipedia.org
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Borwein's algorithm
Cubic convergence (1991) Start by setting Then iterate Then ak converges cubically to ; that is, each iteration approximately triples the number of wikipedia.org
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Cell lists
is quickly offset by the number of cells that need to be inspected for every interaction with a cell , which, for example in three dimensions, grows cubically wikipedia.org
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Rayleigh quotient iteration
The Rayleigh quotient iteration algorithm converges cubically for Hermitian or symmetric matrices, given an initial vector that is sufficiently close to wikipedia.org
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