Approximations

Laws as approximations Some laws are only approximations of other more general laws, and are good approximations with a restricted domain of applicability.

Hipparchus may have used a globe for these tasks, reading values off coordinate grids drawn on it, or he may have made approximations from planar geometry, or perhaps used arithmetical approximations developed by the Chaldeans.

Linear approximations for S-boxes then must be combined with the cipher's other actions, such as permutation and key mixing, to arrive at linear approximations for the entire cipher.

Other approximations There are a large number of other possible approximations to fluid dynamic problems.

The idea behind the trapezoid rule, that more accurate approximations to the function yield better approximations to the integral, can be carried further.

The question then is what approximations of these conditions guarantee approximations of market efficiency, and which failures in competition generate overall market failures.

Unchanged since first discovered (although they may have been shown to be approximations of more accurate laws—see " Laws as approximations " below), * Omnipotent.

Although earlier studies have probed the environmental effects on EMRIs, they have relied entirely on Newtonian approximations.

Conventional p-bit systems struggle with such tasks because they are inherently discrete and require complex approximations to handle continuous variables, leading to inefficiencies.

Previously, the client had been submitting approximations instead of actual finished calculations.

According to this last opinion, our theoretical gentile couple should celebrate the special day in question on the date of their particular child’s becoming physically mature—since rabbinic approximations would not apply to them.

But they were just rough approximations, usually made by Cantonese chefs and restaurateurs keen to jump on a trend.

Despite all the efforts devoted to this translation, certain discrepancies, omissions or approximations may exist.

The report will help the market leaders/new entrants with information on the closest approximations of the revenue numbers for the global malware analysis market and its subsegments.

Rather than vague approximations of Chinese flavours – you do worry about what infusions poor old gin will be subject to next – they’ve gone for the real thing, importing bottles of Chinese spirits, liqueurs and the like.

According to Hegel, the progression of philosophical truth is a resolution of past oppositions into increasingly more accurate approximations of absolute truth.

Although some problems in statistical physics can be solved analytically using approximations and expansions, most current research utilizes the large processing power of modern computers to simulate or approximate solutions.

And like in these prior examples of unification, the ToE would probably allow us to confidently define the domain of validity and residual error of low-energy approximations to the full theory.

An infinite continued fraction representation for an irrational number is useful because its initial segments provide rational approximations to the number.

An iterative method is called convergent if the corresponding sequence converges for given initial approximations.