Charles said as they picked their way over the rocky road which led up the hill away from the Dixie Highway, through a corn field and a patch of woods to the school.

Both the extent to which this is true and the limits of the field of perceptual skill involved should be acknowledged.

Some historians have found his point of view not to their taste, others have complained that he makes the Tory tradition appear `` contemptible rather than intelligible '', while a sympathetic critic has remarked that the `` intricate interplay of social dynamics and political activity of which, at times, politicians are the ignorant marionettes is not a field for the exercise of his talents ''.

As the field on which my tent was pitched was a favorite natural playground for the kids of the neighborhood, I had made many friends among them, taking part in their after-school games and trying desperately to translate Grimm's Fairy Tales into an understandable French as we gathered around the fire in front of the tent.

For it is their catastrophic concept of the Anglo-Saxon invasions rather than Kemble's gradualist approach which dominates the field.

A small business is defined as one which is independently owned and operated and which is not dominant in its field.

The activities of the Planning Division are defined in considerable detail in the enabling act of the Development Council, which assigns to the agency both broad responsibilities and specific duties in the field of planning.

In support of the emphasis placed by the Department of Defense on instruction in emergency medical care, the Medical Illustration Service developed casualty simulation kits and rescue breathing manikins which are being field tested ; ;

This involves the application of a strong magnetic field to the radical vapor, which shifts the low-frequency spectra to a conveniently high microwave range, where they may be measured with optimum sensitivity.

Mr. Brown's invention achieved this and, as a byproduct, formed the cornerstone of Brown & Sharpe's position of leadership in the gear making equipment field which lasted until the 1920's when superceded by other methods.

Recently added is the Brown & Sharpe turret drilling machine which introduces the company to an entirely new field of tool development.

SAAMI's field men have served as consultants and/or have participated in 75 Teen Hunter Club activities which have reached over 40,000 enthusiastic young Americans.

New to the field is a duplex type butyrate laminate in which the two sheets of the laminate are of different color.

Although the Af calculation is obvious by analogy with that for gravitational field and osmotic pressure, it is interesting to confirm it by a method which can be generalized to include related effects.

Field shifts were derived from the mean value of the resonance line, defined as the field about which the first moment is zero.

It is very important indeed, in the field of extra-sensory perception and its relation to the survival hypothesis, to know whether the statements are actually only those which any intuitive person might venture and an eager sitter attach to himself.

Add also a comparatively primitive industrial plant which would severely limit our capacity to keep abreast of the Soviets even in the missile field which is reputed to be our main strength.

Formally organized vocational programs supported by federal funds allow high school students to gain experience in a field of work which is likely to lead to a full-time job on graduation.

But the nickname never stuck and Gehrig was no match for Ruth in `` color '' -- which is sometimes a polite word for delinquent behavior on and off the field.

Carey singled on a slow-bouncing ball to short which Robinson cut across to field and threw wide to first.

-- Billy Gardner's line double, which just eluded the diving Minnie Minoso in left field, drove in Jim Lemon with the winning run with two out in the last of the ninth to give the Minnesota Twins a 6-5 victory over the Chicago White Sox Monday.

If laying ties on a railroad track, which he once did for $1 an hour, paid more than playing right field for the Yankees, Maris would lay ties on a railroad track.

If working in a zinc mine, which he once did for 87-1/2 cents an hour, paid more than playing center field for the Yankees, Mantle would work in a zinc mine.

The general idea is to start with a base field and construct in some manner a larger field which contains the base field and satisfies additional properties.

A Lie algebra is a vector space over some field F together with a binary operation called the Lie bracket, which satisfies the following axioms:

A field ( F ,+,*) together with a total order ≤ on F is an ordered field if the order satisfies the following properties:

Given a field ordering ≤ as in Def 1, the elements such that x ≥ 0 forms a positive cone of F. Conversely, given a positive cone P of F as in Def 2, one can associate a total ordering ≤< sub > P </ sub > by setting x ≤ y to mean y − x ∈ P. This total ordering ≤< sub > P </ sub > satisfies the properties of Def 1.

An ordered field K is the real number field if it satisfies the axiom of Archimedes and every Cauchy sequence of K converges within K.

According to Maxwell's equations, an electric field ( u, v ) in two space dimensions that is independent of time satisfies

In their derivation, they derive the velocity field by demanding the appropriate transformation properties given by the various symmetries that Schrödinger's equation satisfies, once the wavefunction is suitably transformed.

The stress-energy tensor for a scalar field which satisfies the Klein – Gordon equation is

One way to define the center of gravity of a body is as the unique point in the body, if it exists, that satisfies the following requirement: There is no torque about the point for any positioning of the body in the field of force in which it is placed.

In linear algebra, the Cayley – Hamilton theorem ( named after the mathematicians Arthur Cayley and William Hamilton ) states that every square matrix over a commutative ring ( such as the real or complex field ) satisfies its own characteristic equation.

The tangent space to S < sup > 2 </ sup > at a point m is naturally identified with the vector sub-space of ℝ < sup > 3 </ sup > consisting of all vectors orthogonal to m. It follows that a vector field Y on S < sup > 2 </ sup > can be seen as a map Y: S < sup > 2 </ sup > → ℝ < sup > 3 </ sup >, which satisfies

A frequent example application of this general rule is showing that the Levi-Civita connection, which is a mapping of smooth vector fields taking a pair of vector fields to a vector field, does not define a tensor field on M. This is because it is only R-linear in Y ( in place of full C < sup >∞</ sup >( M )- linearity, it satisfies the Leibniz rule, )).

The notion is closely related to the idea of a multiplicative character in group theory, which is a homomorphism χ from a group G to the multiplicative group of a field F. Thus χ: G → F < sup >×</ sup > satisfies χ ( e ) = 1 ( where e is the identity element of G ) and

A structure which satisfies all the properties of a field except possibly for commutativity, is today called a division ring or division algebra or sometimes a skew field.

If is a fibration with fiber F, with the base B path-connected, and the fibration is orientable over a field K, then the Euler characteristic with coefficients in the field K satisfies the product property:

For any section v of V, the contraction of the covariant derivative ∇ v with a vector field X on M is denoted ∇< sub > X </ sub > v and satisfies the following Leibniz rule:

Practical applications are made impossible due to the no-cloning theorem, and the fact that quantum field theories preserve causality, so that quantum correlations cannot be used to transfer information.

It also covers the rapidly expanding field of biotechnology through its Cartagena Protocol on Biosafety, addressing technology development and transfer, benefit-sharing and biosafety issues.

* Information transfer format PDUs, or I-format PDUs, with a 16-bit control and sequence numbering field, which are intended to be used in connection-oriented applications ;

This has been aggravated by the transfer of the best students from the other colleges after their graduation especially in the field of Arts to Jadavpur University for their post-graduation.

The molecular transfer equations of Newton's law for fluid momentum at low Reynolds number ( Stokes flow ), Fourier's law for heat, and Fick's law for mass are very similar, since they are all linear approximations to transport of conserved quantities in a flow field.

Radiosity methods were first developed in about 1950 in the engineering field of heat transfer.

This delay between phases has the effect of giving constant power transfer over each cycle of the current and also makes it possible to produce a rotating magnetic field in an electric motor.

In telecommunication, communications-electronics ( C-E ) is the specialized field concerned with the use of electronic devices and systems for the acquisition or acceptance, processing, storage, display, analysis, protection, disposition, and transfer of information.

In accordance with the precautionary approach, contained in Principle 15 of the Rio Declaration on Environment and Development, the objective of the Protocol is to contribute to ensuring an adequate level of protection in the field of the safe transfer, handling and use of ' living modified organisms resulting from modern biotechnology ' that may have adverse effects on the conservation and sustainable use of biological diversity, taking also into account risks to human health, and specifically focusing on transboundary movements ( Article 1 of the Protocol, SCBD 2000 ).

In physics, the Poynting vector represents the directional energy flux density ( the rate of energy transfer per unit area, in watts per square metre ( W · m < sup >− 2 </ sup >)) of an electromagnetic field.

The information measured by these field instruments is then gathered in local Remote Terminal Units ( RTU ) that transfer the field data to a central location in real time using communication systems, such as satellite channels, microwave links, or cellular phone connections.

The transfer principle states that true first order statements about R are also valid in * R. For example, the commutative law of addition, x + y = y + x, holds for the hyperreals just as it does for the reals ; since R is a real closed field, so is * R. Since for all integers n, one also has for all hyperintegers H. The transfer principle for ultrapowers is a consequence of Łoś ' theorem of 1955.

In some parts of the world, the emergency medical service also encompasses the role of moving patients from one medical facility to an alternative one ; usually to facilitate the provision of a higher level or more specialised field of care but also to transfer patients from a specialized facility to a local hospital or nursing home when they no longer require the services of that specialized hospital, such as following successful cardiac catheterization due to a heart attack.

This load transfer is achieved by means of bond ( anchorage ) and is idealized as a continuous stress field that develops in the vicinity of the steel-concrete interface.

Some new and exciting examples of progress in this field are the identification of genes for regulatory RNAs, insights into the evolutionary origin of photosynthesis, or estimation of the contribution of horizontal gene transfer to the genomes that have been analyzed.

Radio-frequency induction or RF induction is the use of a radio frequency magnetic field to transfer energy by means of electromagnetic induction in the near field.

Independently, substantial work in the field was carried out by the Shanghai-born American physicists An Wang and Way-Dong Woo, who created the pulse transfer controlling device in 1949.

In the presence of a magnetic field ( as in low Earth orbit ), a spacecraft can employ magnetorquers ( better known as torque rods ) to transfer angular momentum to the Earth through its magnetic field.

After World War II, Haley was able to petition the Coast Guard to allow him to transfer into the field of journalism, and by 1949 he had become a Petty Officer First Class in the rating of Journalist.