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Page "Bayesian inference" ¶ 50
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Let and event
Let us quote once more from R. G. Collingwood: `` History is properly concerned with the actions of human beings Regarded from the outside, an action is an event or series of events occurring in the physical world ; ;
Let be a set of independent and identically distributed event observations, where all are distributed as for some.
In the event, he was the last performer ( aside from the Band Aid finale ) to take to the stage and one of the few to be beset by technical difficulties ; his microphone was turned off for the first two minutes of his piano performance of " Let It Be ", making it difficult for television viewers and impossible for those in the stadium to hear him.
On November 21, 2009, Flair returned to the ring as a heel on the " Hulkamania: Let the Battle Begin " tour of Australia, losing to Hulk Hogan in the main event of the first show by brassknuckles.
After absorbing the " heavier " part of the Slov-air operator and taking its Let L-410A Turbolet turboprop commuters into its fleet in the early 1970s, the ČSA partner Slov-air became the world's first airline whose captain, Ján Mičica, was slain at the controls by a hijacker, the event happening during a hijacking to West Germany.
Let X and Y be discrete random variables, then the conditional expectation of X given the event Y = y is a function of y over the range of Y
Let be an arbitrary system subject to changes in time and let be an arbitrary event that is a stimulus for the system: we say that is an adaptive system if and only if when t tends to infinity the probability that the system change its behavior in a time step given the event is equal to the probability that the system change its behavior independently of the occurrence of the event.
The tagline for the event was “ Let ’ s celebrate technology ” and included over 40 events, encompassing engineering, science and management.
* “ Let ’ s Do it ” – all star celebration of Noël Coward / Cole Porter – 1 night event at Barbican Centre Concert Hall-19 October 1989
Later, live coverage of the event showed him clowning and making faces while wearing a hat with a sign that said, " Let her live ".
September 19 Reacting to the previous night ’ s event as a group parted from the peaceful demonstrations attacked the building of the Hungarian Television President Sólyom stated that “ Let be a consequence for the political forces that the cynical avoidance of basic moral questions is unacceptable and likewise is unacceptable even the hidden justification of acts breaking constitutional borders .” ( full text )
On November 21, 2009, They were involved with the Hulkamania: Let the Battle Begin Australian Tour event in Melbourne, Australia and wrestled and defeated Reno Anoa ' i and Vampire Warrior in an Australian Street Fight.
Let A < sub > 1 </ sub >, A < sub > 2 </ sub >,..., A < sub > k </ sub > be a series of events such that each event occurs with probability at most p and such that each event is independent of all the other events except for at most d of them.
Let X = 1 if the event occurs and X

Let and space
Let T be a linear operator on the finite-dimensional vector space V over the field F.
Let Af be the null space of Af.
Let N be a linear operator on the vector space V.
Let T be a linear operator on the finite-dimensional vector space V over the field F.
Let V be a finite-dimensional vector space over an algebraically closed field F, e.g., the field of complex numbers.
Let N be a positive integer and let V be the space of all N times continuously differentiable functions F on the real line which satisfy the differential equation Af where Af are some fixed constants.
* Theorem Let X be a normed space.
* Corollary Let X be a reflexive normed space and Y a Banach space.
* Corollary Let X be a reflexive normed space.
Let be a Hilbert space and is a vector in.
Let be the dual space of.
Let S be a vector space over the real numbers, or, more generally, some ordered field.
Let M be a smooth manifold and let x be a point in M. Let T < sub > x </ sub > M be the tangent space at x.
Let x, y, z be a system of Cartesian coordinates in 3-dimensional Euclidean space, and let i, j, k be the corresponding basis of unit vectors.
Let X be a topological space, and let x < sub > 0 </ sub > be a point of X.
Theorem: Let V be a topological vector space
Let be a metric space.
Let denote the space of scoring functions.
Let X be a measurable space, let μ be a measure on X, and let N be a measurable set in X.
These assumptions can be summarised as: Let ( Ω, F, P ) be a measure space with P ( Ω )= 1.
Let H be a Hilbert space, and let H * denote its dual space, consisting of all continuous linear functionals from H into the field R or C. If x is an element of H, then the function φ < sub > x </ sub >, defined by
Let X be a locally compact Hausdorff space.

Let and represent
Let X be some set, and 2 < sup > X </ sup > symbolically represent its power set.
Let the variable represent the fraction of binding sites that are occupied on the macromolecule.
Let N represent the common nine-point center and P be an arbitrary point in the plane of the orthocentric system.
Let represent the-th component of a quark field ( loosely called the-th color ).
Let t represent time and let f ( t, •) be a function which specifies the dynamics of the system.
Let X represent the space of signals that can be transmitted, and Y the space of signals received, during a block of time over the channel.
Let x represent a point in three-dimensional space, and t a point in one-dimensional time.
Let us now represent a vector field in terms of its components relative to the coordinate derivatives.
Let the lengths of the vectors F < sub > 1 </ sub > and F < sub > 2 </ sub > represent the velocities the two forces could produce in the particle by acting for a given time, and let the direction of each represent the direction in which they act.
Let us represent worthily for once the foul brood to which a cruel fate consigned us!
Let s ( t ) represent the arc length which the particle has moved along the curve.
Let represent a pair of stochastic processes that are jointly wide sense stationary.
Let the four-dimensional Cartesian coordinates be denoted ( w, x, y, z ) where ( x, y, z ) represent the Cartesian coordinates of the normal position vector r. The three-dimensional momentum vector p is associated with a four-dimensional vector on a three-dimensional unit sphere
Let symbol A represent the number of soldiers in the Red force at the beginning of the battle.
Let represent the Hamming weight of vector.
Booth's algorithm can be implemented by repeatedly adding ( with ordinary unsigned binary addition ) one of two predetermined values A and S to a product P, then performing a rightward arithmetic shift on P. Let m and r be the multiplicand and multiplier, respectively ; and let x and y represent the number of bits in m and r.
Let each vertex represent an item, and add an edge from A to B if you must have A to obtain B.
Let Y represent output, which equals income, and let K equal the capital stock.
Let us represent the generalized mass action law in the equivalent form: the rate of the elementary process
Let be the set of dotted variables that represent first derivatives during continuous change, and let be the set of primed variables that represent values at the conclusion of discrete change.
Let the circularly polarized light illustrated at the top now represent that light.

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