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BM
noun
Bowel movement
Exact(45)
By time t the particle has taken m steps, where m is the largest integer ≤ t/δ, and its displacement from its original position is Bm(t) = h X1 +⋯+ Xm).
The expected value of Bm(t) is 0, and its variance is h2m, or approximately h2t/δ.
Now suppose that δ → 0, and at the same time h → 0 in such a way that the variance of Bm(1) converges to some positive constant, σ2.
The Brownian motion process B t) can be defined to be the limit in a certain technical sense of the Bm(t) as δ → 0 and h → 0 with h2/δ → σ2.
In addition, the system of inequality constraints is replaced by Ax ≤ b, where the m by n matrix A replaces the m constraints on the n objective variables, and b = (b1, b2, b3, …, bm)T is a vector whose components are the inequality bounds.
The process B t) has many other properties, which in principle are all inherited from the approximating random walk Bm(t).
Similar(15)
Step into the lobby to take in the decorated walls and wrought iron work (00 33 3 26 77 81 41; bm-reims.fr; admission free).
The sale set off alarms in Washington, because the parts were for BM-25 missiles, a weapon with powerful engines that — if deployed by Iran — could bolster Tehran's ability to strike far beyond the Middle East, State Department cables show.
THE golden bust of the man with the curly beard and wide-open eyes is the first thing visitors notice when they enter the new exhibition at the British Museum BMM).
Born after two years of negotiation, the Integrated Latin American Market (MILA, in Spanish) with a market capitalisation of over $600 billion, will instantly become Latin America's second-biggest bolsa, after Brazil's BM&FBovespa.
Eight companies account for more than 50% of the market value of the BM&FBOVESPA.
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