This is an unsolved problem which probably has never been seriously investigated, although one frequently hears the comment that we have insufficient specialists of the kind who can compete with the Germans or Swiss, for example, in precision machinery and mathematics, or the Finns in geochemistry.

In no other situation would a group of doctors, struggling competently to improve the life expectancy of a man beloved by the world, be subjected to such merciless and persistent questioning, and before they were prepared to demonstrate the kind of verbal precision which alone can clarify for mankind the problems it faces.

The contention needs to be formulated with much greater precision than it ever was during the campaign, but once that has been done, I fail to see how any serious student of world affairs can quarrel with it.

Of course, in prudential calculation, in balancing the good directly intended and done against the evil unintended and indirectly done, no greater precision can be forthcoming than the subject allows.

Because and can be very similar numbers, the precision of the result can be much less than the inherent precision of the floating-point arithmetic used to perform the computation.

One benefit is that the statistical moment calculations can be carried out to arbitrary accuracy such that the computations can be tuned to the precision of, e. g., the data storage format or the original measurement hardware.

Premultiplied alpha has some practical advantages over normal alpha blending because premultiplied alpha blending is associative and linear interpolation gives better results, although premultiplication can cause a loss of precision and, in extreme cases, a noticeable loss of quality.

Therefore, due to impossibility for precision, there is confusion about what interpretations can be culturally negotiated.

Studies are more likely to be considered sound if they use theoretical tools found in archaeology like analogy and homology and if they can demonstrate an understanding of accuracy and precision found in astronomy.

This is inefficient as there exists also approximations of all Bézier curves using arcs of circles or ellipses, which can be rendered incrementally with arbitrary precision.

* Whole-tube instruments have larger bores in relation to tubing length, and can play the fundamental tone with ease and precision.

Related to number representation is the size and precision of numbers that a CPU can represent.

For instance, can hold an unboxed integer in a range supported by the hardware and implementation, permitting more efficient arithmetic than on big integers or arbitrary precision types.

In mathematics, particularly theoretical computer science and mathematical logic, the computable numbers, also known as the recursive numbers or the computable reals, are the real numbers that can be computed to within any desired precision by a finite, terminating algorithm.

Trailing zeros after the decimal point are not necessary, although in science, engineering and statistics they can be retained to indicate a required precision or to show a level of confidence in the accuracy of the number: Although 0. 080 and 0. 08 are numerically equal, in engineering 0. 080 suggests a measurement with an error of up to one part in two thousand (± 0. 0005 ), while 0. 08 suggests a measurement with an error of up to one in two hundred ( see significant figures ).

Nonetheless, a Euclidean model of the universe can still be used to solve many other practical problems with sufficient precision.

The length of the significand determines the precision to which numbers can be represented.

Normalization, which is reversed when 1 is being added above, can be thought of as a form of compression ; it allows a binary significand to be compressed into a field one bit shorter than the maximum precision, at the expense of extra processing.

* Where greater precision is desired, floating-point arithmetic can be implemented ( typically in software ) with variable-length significands ( and sometimes exponents ) that are sized depending on actual need and depending on how the calculation proceeds.

Extended precision can help minimise accumulation of round-off error in intermediate calculations.

The Fourier components of each square are rounded to lower arithmetic precision, and weak components are eliminated entirely, so that the remaining components can be stored very compactly.

These data are not of the precision obtainable by the methods previously mentioned, but the vast number of approximate values available will be useful in many areas.

This process made the economical manufacture of gears questionable until some way could be found to permit the repeated re-sharpening of gear tooth cutters without the loss of the precision form.

If we fail to develop the means to hunt down and destroy the enemy's military force with extreme care and precision, and if war comes in spite of our most ardent desires for peace, our choice of alternatives will be truly frightening.

A careful and orderly man, who values precision and a kind of tough intellectual responsibility, might easily be put off by such a book.

This algorithm is much less prone to loss of precision due to massive cancellation, but might not be as efficient because of the division operation inside the loop.

While this loss of precision may be tolerable and viewed as a minor flaw of Algorithm I, it is easy to find data that reveal a major flaw in the naive algorithm: Take the sample to be ( 10 < sup > 9 </ sup > + 4, 10 < sup > 9 </ sup > + 7, 10 < sup > 9 </ sup > + 13, 10 < sup > 9 </ sup > + 16 ).

However, there may be several such allophones, or the linguist may prefer greater precision than this allows.

The exact splitting algorithm is implementation dependent, only the flatness criteria must be respected to reach the necessary precision and to avoid non-monotonic local changes of curvature.

Some conversions from one system of units to another need to be exact, without increasing or decreasing the precision of the first measurement.

As a general rule of thumb, if the condition number, then you may lose up to digits of accuracy on top of what would be lost to the numerical method due to loss of precision from arithmetic methods.

The chief music critic of The Times, Frank Howes, later commented, " the British public ... was electrified when it heard the disciplined precision of the Berlin Philharmonic.

Seldom have I heard a case presented with such precision, clarity and elegance of language ".

I merely draw an etymological distinction, hoping that specialists and busy people like you will welcome such precision in a layman.

The bronze triggers were designed in such a way that they were able to store a large amount of energy within the bow when drawn, but was easily fired with little recoil when the trigger were pulled ( this allowed it for precision shooting ).

Where calculators have additional functions such as square root, or trigonometric functions, software algorithms are required to produce high precision results.

Petrie related the precision of the casing stones as to being " equal to opticians ' work of the present day, but on a scale of acres " and " to place such stones in exact contact would be careful work ; but to do so with cement in the joints seems almost impossible ".

He writes that " such a working diagram would also serve to generate the architecture of the pyramid with precision unmatched by any other means.

In studying such transformations it is always necessary to distinguish between the material transformation of the economic conditions of production, which can be determined with the precision of natural science, and the legal, political, religious, artistic or philosophic — in short, ideological forms in which men become conscious of this conflict and fight it out.

The lessons Maudslay learned about the need for stability and precision he adapted to the development of machine tools, and in his workshops he trained a generation of men to build on his work, such as Richard Roberts, Joseph Clement and Joseph Whitworth.

Facing increasing competition from China and South Korea, manufacturing in Japan today now focuses primarily on high-tech and precision goods, such as optical equipment, hybrid cars, and robotics.

Some precision or fragile objects — such as passengers, who need time to sense stress changes and adjust their muscle tension or suffer conditions such as whiplash — can be safely subjected not only to a maximum acceleration, but also to a maximum jerk.

Collectively labeled under the heading of the so-called " war on terror ", the scope of such laws, policies and directives are challenged by civil rights organizations and numerous legislators for lack of definitional precision, arbitrary application of sanctions, and violation of privacy laws.

However, the distinction between mass and weight becomes important for measurements with a precision better than a few percent ( because of slight differences in the strength of the Earth's gravitational field at different places ), and for places far from the surface of the Earth, such as in space or on other planets.

Floating point operations are mostly addition, subtraction, and multiplication with enough digits of precision to model continuous phenomena such as weather prediction and nuclear simulations.

Major search engine robots are more likely to quantify such extant factors as the volume of incoming links from related websites, quantity and quality of content, technical precision of source code, spelling, functional v. broken hyperlinks, volume and consistency of searches and / or viewer traffic, time within website, page views, revisits, click-throughs, technical user-features, uniqueness, redundancy, relevance, advertising revenue yield, freshness, geography, language and other intrinsic characteristics.

This nominal fee covers the costs of providing the service, such as purchase and maintenance of supplies and equipment like dosing cups and precision measuring devices, supply costs involved in transporting a highly regulated drug from supplier to the pharmacy, extensive record-keeping as per government requirements, and compensation to the pharmacy staff for the time involved in preparing for and dosing a client ( none of which are funded by the Federal government ).

However, when decimal representation is used for the rational or real numbers, such numbers in general have an infinite number of representations, for example 2. 31 can also be written as 2. 310, 2. 3100000, 2. 309999999 …, etc., all of which have the same meaning except for some scientific and other contexts where greater precision is implied by a larger number of figures shown.

This revolution was in response to a preference by composers and pianists for a more powerful, sustained piano sound, and made possible by the ongoing Industrial Revolution with resources such as high-quality piano wire for strings, and precision casting for the production of iron frames.

Not only can such an undertaking be an exercise in futility, but this approach lacks even a minimal amount of precision such that parties might be able to predict outcomes and results during litigation.

If one performs a position measurement on such a wavefunction, the resultant x will be obtained with 100 % probability ( i. e., with full certainty, or complete precision ).

Within probability sampling there are specialized techniques such as stratified sampling and cluster sampling that improve the precision or efficiency of the sampling process without altering the fundamental principals of probability sampling.