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Curvature and form
* Shoshichi Kobayashi and Katsumi Nomizu ( 1963 ) Foundations of Differential Geometry, Vol. I, Chapter 2. 5 Curvature form and structure equation, p 75, Wiley Interscience.
# REDIRECT Curvature form
# REDIRECT Curvature form # Bianchi identities
# redirect Curvature form

Curvature and for
* Curvature of a measure for a notion of curvature in measure theory
* 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 and curvature
:* 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.

Curvature and vector
* Curvature vector on Britannica

Curvature and with
* Z. Shen, C. Sormani " The Topology of Open Manifolds with Nonnegative Ricci Curvature " ( a survey )
* G. Wei, " Manifolds with A Lower Ricci Curvature Bound " ( a survey )
Curvature on a curved barbell can range from almost straight to circular, with some barbells actually being spiral, with the ends overlapping but separated to allow the insertion of the jewelry.
York is widely credited with being the first to recognize the importance of conformal geometry in the initial value problem, and with introducing concepts now called the York Curvature and York Time.
Curvature of the spine ( kyphoscoliosis and lordosis ) progresses during childhood and can cause problems with breathing.
Curvature of the spine ( scoliosis and lumbar lordosis ) may be severe and can cause problems with breathing.

form and for
Twenty minutes later she was at the desk of the Grafin's pension, her tears dried, signing a hotel form and asking for a bath.
( Since the time-span of the nation-state coincides roughly with the separate existence of the United States as an independent entity, it is perhaps natural for Americans to think of the nation as representative of the highest form of order, something permanent and unchanging.
`` we the People of the United States, in order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common Defence, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States of America ''.
`` We the people of the Confederate States, each state acting in its sovereign and independent character, in order to form a permanent federal government, establish justice, insure domestic tranquility, and secure the blessings of liberty to ourselves and our posterity -- invoking the favor and the guidance of Almighty God -- do ordain and establish this Constitution for the Confederate States of America ''.
At the same time the multiple transvestitism involved -- the fat man as girl and as baby, as coquette pretending to be a baby -- touches for a moment horrifyingly upon the secret sources of a life like Jacoby's, upon the sinister dreams which form the sources of any human life.
And if I have gone into so much detail about so small a work, that is because it is also so typical a work, representing the germinal form of a conflict which remains essential in Mann's writing: the crude sketch of Piepsam contains, in its critical, destructive and self-destructive tendencies, much that is enlarged and illuminated in the figures of, for instance, Naphta and Leverkuhn.
Whitehead contends that the human way of understanding existence as a unity of interlocking and interdependent processes which constitute each other and which cause each other to be and not to be is possible only because the basic form of such an understanding, for all its vagueness and tendency to mistake the detail, is initially given in the way man feels the world.
But while the corporation has all the disadvantages of the socialist form of organization ( so cumbersome it cannot constructively do much of anything not compatible with its need to perpetuate itself and maintain its status quo ), unluckily it does not have the desirable aspect of socialism, the motivation to operate for the benefit of society as a whole.
Examples are in public utilities, making military aircraft and accessories, or where the investment and risk for a proprietorship would be too great for a much needed project impossible to achieve by any means other than the corporate form, e.g. constructing major airports or dams.
The second involves something deeper, but its characteristic form focuses on a shift in policy for the community, not in the truth on which the community rests.
Reactionary theories, for this reason, usually assume some form of organismic theory.
In its dynamic form, it visualizes the community as the embodiment of an ontological force -- the race, for instance, which unfolds in history.
How literature does this, or for whom, is certainly not clear, but the content, form, and language of the `` message '', as well as the source, would all play differentiated parts in giving and molding a sense of purpose.
It may be thought unfortunate that he was called on entirely by accident to perform, if again we may trust the opening of the oratio, for it marks the beginning for us of his use of his peculiar form of witty word play that even in this Latin banter has in it the unmistakable element of viciousness and an almost sadistic delight in verbally tormenting an adversary.
He knew all about it and had put it down in journal form in The War In A Black Shirt, a wonderful book not, for some strange reason, published in the U.S..
Georgia's mental health program received a badly needed boost from the General Assembly in the form of a $1,750,000 budget increase for the Milledgeville State Hospital.
Our comment was that this was `` featherbedding '' in its ultimate form and that sympathy for the railroad was misplaced since it had entered into such an agreement.
People who take us for suckers are like the Westerner who had on exhibit his superior marksmanship in the form of a number of bull's-eye achievements.
But that year was different, for just as the city, in the form of my street clothes, had intruded upon my mountain nights, so an essential part of the summer gave promise of continuing into the fall: Jessica and I, about to be separated not by a mere footbridge or messhall kitchen but by the immense obstacle of residing in cruelly distant boroughs, had agreed to correspond.
At this time of crisis in our Nation's commuter railroads, a new threat to the continued operations of the New York Central has appeared in the form of the Chesapeake & Ohio Railroad's proposal for control of the Baltimore & Ohio railroads.
As soon as the time came for re-sharpening, the precise form of the gear tooth was lost and a new cutter had to be made.
The physical education program for men recognizes the value of participation in competitive sports in the development of the individual student and aims to give every man an opportunity to enter some form of athletic competition, either intercollegiate or intramural.

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