Curvature is extremely weak and difficult to measure.

* Curvature form for the appropriate notion of curvature for vector bundles and principal bundles with connection

* Curvature of Riemannian manifolds for generalizations of Gauss curvature to higher-dimensional Riemannian manifolds

* Curvature vector and geodesic curvature for appropriate notions of curvature of curves in Riemannian manifolds, of any dimension

Curvature of the earth limits the reach of the signal, but due to the high orbit of the satellites, two or three are usually sufficient to provide coverage for an entire continent.

* D. Rawlins: " Methods for Measuring the Earth's Size by Determining the Curvature of the Sea " and " Racking the Stade for Eratosthenes ", appendices to " The Eratosthenes-Strabo Nile Map.

* Module for Curvature

Kerr also founded Curvature Wines, which helps to raise money for breast cancer charities.

* Curvature invariant, for curvature invariants in a more general context.

:* Curvature myopia is attributed to excessive, or increased, curvature of one or more of the refractive surfaces of the eye, especially the cornea.

; Curvature of Field: The Petzval field curvature means that the image instead of lying in a plane actually lies on a curved surface which is described as hollow or round.

Curvature invariants in general relativity are a set of scalars called curvature invariants that arise in general relativity.

An important question related to Curvature invariants is when the set of polynomial curvature invariants can be used to ( locally ) distinguish manifolds.

By prevailing over other claimants for the loyalties of men, the nation-state maintained an adequate measure of certainty and order within its territorial borders.

The active sponsor of Jefferson's measure for religious liberty in Virginia, Madison played the most influential single role in the drafting of the Constitution and in securing its ratification in Virginia, founded the first political party in American history, and, as Jefferson's Secretary of State and his successor in the Presidency, guided the nation through the troubled years of our second war with Britain.

The very fact that they came so near to winning by the wrong method, war, led directly to their losing both the war and the wrong thing they fought for, since it forced Lincoln to free their slaves as a military measure.

Precisely at the moment when it has lost its vision the mind of the community turns out from itself in a search for the ontological standard whereby it can measure itself.

Thoroughly modern in treatment, they are at the same time, full of simple sincerity which invariably characterizes genuine Negro folk-music and are by no means to be confused with the average ' Broadway Spirituals ' which depend for their racial flavor upon sundry allusions to the ' Amen Corner ', ' judgement Day, ' Gabriel's Horn, and a frustrated devil -- with a few random hallelujahs thrown in for good measure.

Such a list must naturally be selective, and the treatment of each man is brief, for I am interested only in their general ideas on the moral measure of literature.

They both measure literature by moral standards, and in their political writings both allow for censorship, but the differences between them are also significant.

But there are, however, several features of Aristotle's approach which open the way for the moral measure of literature.

The Walnut Trees Of Altenburg includes not one war but two, and throws in a Turkish revolution along with some guerrilla fighting in the desert for good measure.

But if any realism and feeling for truth remain in the General Assembly, it is time for men of courage to measure the magnitude of the failure and urge some new approach.

The measure, for federal income tax purposes, of the dividend to individual stockholders would be the fair market value of the shares at the time of each annual distribution.

In the case of taxpaying corporate stockholders, the measure would be the lesser of the fair market value of the shares or Du Pont's tax basis for them, which is approximately $2.09 per share.

Such an instrument is expected to be especially useful if it could be used to measure the elasticity of heavy pastes such as printing inks, paints, adhesives, molten plastics, and bread dough, for the elasticity is related to those various properties termed `` length '', `` shortness '', `` spinnability '', etc., which are usually judged by subjective methods at present.

Acceptance of radiopasteurization is likely to be delayed, however, for two reasons: ( 1 ) the storage life of fresh chicken under refrigeration is becoming a minimal problem because of constantly improved sanitation and distributing practices, and ( 2 ) treatment by antibiotics, a measure already approved by the Federal Food and Drug Administration, serves to extend the storage life of chicken at a low cost of about 0.5 cents per pound.

However much football has been over-emphasized, the public likes to measure its collegiate favorites by the scoreboard, so, while Yale need never give its record a thought again since outscoring its opponents 694 to 0 in the season of 1888, Dartmouth had to wait until its championship team of 1925 for national recognition.

The reel itself became and still is the standard of measure for the movies.

Daniel personally led the fight for the measure, which he had watered down considerably since its rejection by two previous Legislatures, in a public hearing before the House Committee on Revenue and Taxation.

The $6,100,000,000 measure, which was passed last Monday by the Senate, provides for forty-year mortgages at low down-payments for moderate-income families.

A measure passed by Congress just before adjourning softened the ruling's impact, on prior-year returns still under review, for clay-mining companies that make brick and tile products.

His immediate motive for doing this may not have been directly inspired by the Lo Shu, but this measure must inevitably have increased the existing beliefs in the latter's efficacy.

We should not allow the image of an immanent end brought about indirectly by our own action in the continuing human struggle for a just endurable order of existence to blind us to the fact that in some measure accelerating the end of our lease may be one consequence among others of many other of mankind's thrusts toward we know not what future.

While Nicomachus ' algorithm is the same as Euclid's, when the numbers are prime to one another it yields the number " 1 " for their common measure.

This explanation may imply that IQ tests do not necessarily measure a general intelligence factor, especially not Raven's as often argued, but instead may measure different types of intelligence that are developed by different experiences ( this argument is against the notion of an underlying general intelligence, or g factor ).

However, although IQ attempts to measure some notion of intelligence, it may fail to act as an accurate measure of " intelligence " in its broadest sense.

The Lebesgue measure is often denoted dx, but this should not be confused with the distinct notion of a volume form.

Subjectivists, also known as Bayesians or followers of epistemic probability, give the notion of probability a subjective status by regarding it as a measure of the ' degree of belief ' of the individual assessing the uncertainty of a particular situation.

Kolmogorov combined the notion of sample space, introduced by Richard von Mises, and measure theory and presented his axiom system for probability theory in 1933.

Extensions of the notion of area which partially fulfill its function and may be defined even for very badly irregular surfaces are studied in the geometric measure theory.

A measure on X is a function which assigns a real number to subsets of X ; this can be thought of as making precise a notion of " size " or " volume " for sets.

Because Adorno believed that sociology needs to be self-reflective and self-critical, he believed that the language the sociologist uses, like the language of the ordinary person, is a political construct in large measure that uses, often unreflectingly, concepts installed by dominant classes and social structures ( such as our notion of " deviance " which includes both genuinely deviant individual and " hustlers " operating below social norms because they lack the capital to operate above: for an analysis of this phenomenon, cf.

In general, when there are multiple objects around which a sequence, function, or set accumulates, the inferior and superior limits extract the smallest and largest of them ; the type of object and the measure of size is context-dependent, but the notion of extreme limits is invariant.

The difference between a probability measure and the more general notion of measure ( which includes concepts like area or volume ) is that a probability measure must assign 1 to the entire probability space.

This difference is too minute to measure on an actual honeycomb, and irrelevant to the hive economy in terms of efficient use of wax, considering that wild comb varies considerably from any mathematical notion of " ideal " geometry.

These generalizations of curvature underlie, for instance, the notion that curvature can be a property of a measure ; see curvature of a measure.

This leads to the notion of " genetic distance ", which is a measure of recombination frequency averaged over a ( suitably large ) sample of pedigrees.

It is later retconned in the Buffy Season Eight comics that Andrew had fabricated the notion of Buffy dating the Immortal, both as a measure of protective misdirection and as a way of pranking Angel and Spike due to their history with the Immortal.

As a counter-espionage measure, many of the British Commonwealth troops involved were not disabused of the fictitious notion that Operation Compass was an exercise until they were very nearly engaged in combat.

The code that performs hash, compare, or extend operations must also be protected — in this context, the notion of an immutable root-of-trust holds that the very first code to measure security properties of a system must itself be trusted to ensure that a rootkit or bootkit does not compromise the system at its most fundamental level.

In terms of that notion, the fractal dimension of a coastline quantifies how the number of scaled measuring sticks required to measure the coastline changes with the scale applied to the stick.

The number of correct significant figures is closely related to the notion of relative error ( which has the advantage of being a more accurate measure of precision, and is independent of the radix of the number system used ).