Chan's method for estimating the mean is numerically unstable when and both are large, because the numerical error in is not scaled down in the way that it is in the case.

As taught in school books, analytic geometry can be explained more simply: it is concerned with defining and representing geometrical shapes in a numerical way and extracting numerical information from shapes ' numerical definitions and representations.

The way in which the numerical instruction value is interpreted is defined by the CPU's instruction set architecture ( ISA ).

*** Computational fluid dynamics, a way of studying fluid dynamics using numerical methods

But for gravitational waves produced in astrophysically relevant situations, such as the merger of two black holes, numerical methods are presently the only way to construct appropriate models.

Empirical thermometers are not in general necessarily in exact agreement with absolute thermometers as to their numerical scale readings, but to qualify as thermometers at all they must agree with absolute thermometers and with each other in the following way: given any two bodies isolated in their separate respective thermodynamic equilibrium states, all thermometers agree as to which of the two has the higher temperature, or that the two have equal temperatures.

In the same way, all realizations may be seen as " factorizations " of the same transfer function, but different realizations will have different numerical properties.

Conversely, the object-side numerical aperture is related to the f-number by way of the magnification ( tending to zero for a distant object ):

It systematically presents his arguments that ( 1 ) a numerical majority in any government will typically impose a despotism over a minority unless some way is devised to secure the assent of all classes, sections, and interests and ( 2 ) that innate human depravity would debase government in a democracy.

The most common way of calculating the enthalpy change of combustion ( or formation ) is by using a Hess cycle or by using numerical based bond enthalpies.

Geomorphologists seek to understand why landscapes look the way they do, to understand landform history and dynamics, and to predict future changes through a combination of field observations, physical experiments, and numerical modeling.

# Numerica. com: Language and place gives way to numerical code and virtual reality.

Although the solutions cannot always be expressed exactly with radicals, they can be computed to any desired degree of accuracy using numerical methods such as the Newton – Raphson method or Laguerre method, and in this way they are no different from solutions to polynomial equations of the second, third, or fourth degrees.

In descriptive statistics, a box plot or boxplot ( also known as a box-and-whisker diagram or plot ) is a convenient way of graphically depicting groups of numerical data through their five-number summaries: the smallest observation ( sample minimum ), lower quartile ( Q1 ), median ( Q2 ), upper quartile ( Q3 ), and largest observation ( sample maximum ).

When the pure advection equation, which is free of dissipation, is solved by a numerical approximation method, the energy of the initial wave may be reduced in a way analogous to a diffusional process.

This way, they were trying to draw enemy cavalry away from infantry support, distort their cohesion, isolate and overwhelm them with numerical superiority.

* Assimilation ( meteorology ), the process of objectively adapting the model state ( of a numerical weather prediction model ) to observations in a statistical optimal way taking into account model and observation errors

The opposing viewpoint is that abstract methods are far-reaching, in a way that numerical analysis cannot be.

Empirical thermometers are not in general necessarily in exact agreement with each other or with absolute thermometers as to their numerical scale readings, but to qualify as thermometers at all they must agree with absolute thermometers and with each other in the following way: given any two bodies isolated in their separate respective thermodynamic equilibrium states, all thermometers agree as to which of the two has the higher temperature, or that the two have equal temperatures.

As a practical matter, exact analytic solutions for polynomial equations are often unnecessary, and so numerical methods such as Laguerre's method or the Jenkins-Traub method are probably the best way of obtaining solutions to general quintics and higher degree polynomial equations that arise in practice.

Epaminondas had to find a way to gain tactical advantage despite the numerical superiority of the enemy.

JN-39 was replaced by JN-40, which was originally believed to be a code super-enciphered with a numerical additive in the same way as JN-25.

Fundamental values, temperament and the way in which one approaches a conviction change less, of course, than specific opinions.

The easiest way to describe this release is to say that it reproduces an interesting and effective Steinberg performance with minimal alteration of its musical values.

We define these values as Af, and define g{t} in the same way for each T.

Money, so important a theme elsewhere in Dickens, is here central, and hands are often associated in some way with the false values -- acquisitiveness, snobbery, self-interest, hypocrisy, toadyism, irresponsibility, injustice -- that attach to a society based upon the pursuit of wealth.

the conventional way: the range of potential values is

The first meaning refers to a social philosophy or political philosophy which values rural society as superior to urban society, the independent farmer as superior to the paid worker, and sees farming as a way of life that can shape the ideal social values.

) In this way, for example, one can compute Bessel functions of higher orders ( or higher derivatives ) given the values at lower orders ( or lower derivatives ).

A formula of propositional logic is said to be satisfiable if logical values can be assigned to its variables in a way that makes the formula true.

Rolls of 4, 6, 8, and 10 are called " hard " or " easy " ( e. g. " six the hard way ", " easy eight ", " hard ten ") depending on whether they were rolled as a " double " or as any other combination of values, because of their significance in center table bets known as the " hard ways ".

A hard way occurs when both dice show identical values, also known as " doubles " or " pairs.

At the other extreme of the spectrum one finds attempts to use coercion altruistically, as a pedagogical device to improve – in some supposedly objective sense – the way other people think, with particular regard to their basic attitudes and values.

In contrast to real numbers that have the property of varying " smoothly ", the objects studied in discrete mathematics – such as integers, graphs, and statements in logic – do not vary smoothly in this way, but have distinct, separated values.

However, there may also be " missing values ", which need to be indicated in some way.

The appearance of interference built up from individual photons could seemingly be explained by assuming that a single photon has its own associated wavefront that passes through both slits, and that the single photon will show up on the detector screen according to the net probability values resulting from the co-incidence of the two probability waves coming by way of the two slits.

But this doesn ’ t mean that they don ’ t need to be analyzed and criticized in all its manifestations, showing the way these oppositions, both logical and axiological, are at work in all discourse for it to be able to produce meaning and values.

And it ’ s not enough to deconstruction to expose the way oppositions work and how meaning and values are produced in speech of all kinds and stop there in a nihilistic or cynic position regarding all meaning, " thereby preventing any means of intervening in the field effectively ".

This is usually taken to be a comment on the way that Victorian England proclaimed the Christian values of forgiveness, charity and poverty on a Sunday, only to ignore them for the rest of the week and the practical running of its life.

This, in part, explains the constant references to values and principles that are " necessary in a democratic society " throughout the Convention, despite the fact that such principles are not in any way defined within the convention itself.

In computing, floating point describes a method of representing real numbers in a way that can support a wide range of values.

Although there would be no point in encoding the file that way, something similar typically happens for bi-color images: the minimum symbol width is 2, even if only values 0 and 1 are used.

A universal hashing scheme is a randomized algorithm that selects a hashing function h among a family of such functions, in such a way that the probability of a collision of any two distinct keys is 1 / n, where n is the number of distinct hash values desired — independently of the two keys.

If either the form or the parameters of F ( x ) are determined from the data X < sub > i </ sub > the critical values determined in this way are invalid.

Aileen Philby resented him and disliked his presence ; Americans were offended by his " natural superciliousness " and " utter contempt for the whole pyramid of values, attitudes, and courtesies of the American way of life.