More technically, the law is concerned with the speedup achievable from an improvement to a computation that affects a proportion P of that computation where the improvement has a speedup of S. ( For example, if an improvement can speed up 30 % of the computation, P will be 0. 3 ; if the improvement makes the portion affected twice as fast, S will be 2.

More technically and financially capable organizations were surely able to do the same long before the effort described in the book.

More technically, the divergence represents the volume density of the outward flux of a vector field from an infinitesimal volume around a given point.

More precisely, all known FFT algorithms require Θ ( N log N ) operations ( technically, O only denotes an upper bound ), although there is no known proof that better complexity is impossible.

More precisely, and technically, a Feynman diagram is a graphical representation of a perturbative contribution to the transition amplitude or correlation function of a quantum mechanical or statistical field theory.

More recent stations were designed for accessibility, but retrofitting accessibility features to old stations is at best prohibitively expensive and technically extremely difficult, and often impossible.

More technically, it relates the electric flux through any hypothetical closed " Gaussian surface " to the enclosed electric charge.

( More technically, when does the actual quantum state stop being a linear combination of states, each of which resembles different classical states, and instead begins to have a unique classical description?

Leone's next two films – For a Few Dollars More ( 1965 ) and The Good, the Bad and the Ugly ( 1966 ) – completed what has come to be known as the Man with No Name trilogy ( a. k. a. the Dollars Trilogy ), with each film being more financially successful and more technically accomplished than its predecessor.

* More technically as forward zoom / reverse tracking or zoom in / dolly out

More technically, it is an already-modulated signal, which is then modulated into another signal of higher frequency and bandwidth.

More technically, when H is invariant under the action of a certain group of transformations G:

More technically, it involves a lot of digital signal processing, mostly discrete Fourier transforms at various chirp rates and durations.

More technically this is referred to as an isotropic vector matrix or in a single unit width an octet truss.

More technically, the phone's speaker has to have a voice coil that generates a relatively strong electromagnetic field.

More technically, if the inflorescence is a single spike and the rachis of the leaves is arcuate, the species is H. belmoreana.

More technically, an economic model is said to have a representative agent if all agents of the same type are identical.

More recently designed fighter aircraft achieve the same improved low-speed characteristics using the technically more complex swing-wing design.

More technically, the 2002 book Le versant noir du mont Blanc ( The black hillside of Mont Blanc ) exposes problems in conserving the site.

More technically, quantum geometry refers to the shape of the spacetime manifold as seen by D-branes which includes the quantum corrections to the metric tensor, such as the worldsheet instantons.

More technically, the question is why the Higgs boson is so much lighter than the Planck mass ( or the grand unification energy, or a heavy neutrino mass scale ): one would expect that the large quantum contributions to the square of the Higgs boson mass would inevitably make the mass huge, comparable to the scale at which new physics appears, unless there is an incredible fine-tuning cancellation between the quadratic radiative corrections and the bare mass.

More technically, MPT models an asset's return as a normally distributed function ( or more generally as an elliptically distributed random variable ), defines risk as the standard deviation of return, and models a portfolio as a weighted combination of assets, so that the return of a portfolio is the weighted combination of the assets ' returns.

More technically, the surface's luminance is isotropic, and the luminous intensity obeys Lambert's cosine law.

More technically, SR occurs if the signal-to-noise ratio of a nonlinear system or device increases for moderate values of noise intensity.

More generally, suppose that an experiment consists of a number of independent trials, that each trial results in either a `` success '' or a `` non-success '' ( `` failure '' ), and that the probability of success remains constant from trial to trial.

More exciting for planetary astronomers was that the best orbital solutions suggested that the comet would pass within of the center of Jupiter, a distance smaller than the planet's radius, meaning that there was an extremely high probability that SL9 would collide with Jupiter in July 1994.

More precisely, he showed that a random graph on vertices, formed by choosing independently whether to include each edge with probability has, with probability tending to 1 as goes to infinity, at most cycles of length or less, but has no independent set of size Therefore, removing one vertex from each short cycle leaves a smaller graph with girth greater than in which each color class of a coloring must be small and which therefore requires at least colors in any coloring.

More formally, the environment is modeled as a Markov decision process ( MDP ) with states and actions with the following probability distributions: the instantaneous cost distribution, the observation distribution and the transition, while a policy is defined as conditional distribution over actions given the observations.

More complex experiments, such as those involving stochastic processes defined in continuous-time, may demand the use of more general probability measures.

More Probability density function | probability density will be found the closer one gets to the expected ( mean ) value in a normal distribution.

) More generally, fuzzy logic is one of many different proposed extensions to classical logic, known as probabilistic logics, intended to deal with issues of uncertainty in classical logic, the inapplicability of probability theory in many domains, and the paradoxes of Dempster-Shafer theory.

More formally, a multivariate random variable is a column vector X = ( X < sub > 1 </ sub >, ..., X < sub > n </ sub >)< sup > T </ sup > ( or its transpose, which is a row vector ) whose components are scalar-valued random variables on the same probability space ( Ω,, P ), where Ω is the sample space, is the sigma-algebra ( the collection of all events ), and P is the probability measure ( a function returning every event's probability ).

More precisely, it does not have a density with respect to k-dimensional Lebesgue measure ( which is the usual measure assumed in calculus-level probability courses ).

More recent measurements seem to point to more encouraging values for the α-sticking probability, finding the α-sticking probability to be about 0. 5 % ( or perhaps even about 0. 4 % or 0. 3 %), which could mean as many as about 200 ( or perhaps even about 250 or about 333 ) muon-catalyzed d-t fusions per muon.

More generally, he considered the statement that a theory be invariant under a group G to be expressed in terms of the invariance of the transition probability between any two rays.

More generally, if F is a cumulative probability distribution function of any probability distribution, which may not have a density function, then the nth moment of the probability distribution is given by the Riemann – Stieltjes integral

More specifically, TV reflects the probability that the option will gain in IV — become ( more ) profitable to exercise before it expires.

More exactly, if we use only the symbols 0 and 1 to express our description, we will assign the probability 2 < sup >- N </ sup > to a sequence of symbols if its shortest possible binary description contains N digits.

More precisely, if the events are then the joint probability satisfies

More generally, if P and Q are probability

More specifically, a Turing machine can be simulated with arbitrarily high probability of running correctly for all time, only if a random CRN is used.