The myth of the Southern plantation has had only a tangential relation with actuality, as Francis Pendleton Gaines showed forty years ago, and I suspect it has had a far narrower acceptance as something real than has generally been supposed.

In conformance with the maximization principle we affirm that Gentile-Jewish relations will be harmonious or inharmonious to the degree that one relation or the other is expected by the active participants to yield the greatest net advantage, taking all value outcomes and effects into consideration.

I feel compelled to write this because I am greatly concerned with the problem of community growth rate and the relation between types of growth in a town such as East Greenwich.

He must deal with the question of how to manage a part when it cannot be handled without relation to the whole -- when the whole is too large to grasp.

This program is based on the policy of designing and building efficient machines which will help produce better textile values -- fabrics whose cost in relation to quality, fashion and utility provide the consumer with better textile products for the money.

However, whether you arrange to have a European or American model, if you rent a car with the proper seating capacity in relation to the number of people in your party, your transportation expense will average very close to $10.00 per day per passenger.

The experimental second moment Af conforms to the relation Af in agreement with theory.

We stressed the reciprocal relation of these systems with respect to the autonomic-somatic downward discharge as well as regarding the hypothalamic-cortical discharge.

The threat of effective anti-trust action, provoked by `` gouging the public '' through price increases not justified by cost increases, and fears of endangering relations with customers, Congress, the general public and the press, all operate to keep price increases in some relation to cost increases.

When dealing with the actual relation of philosophy to the sociology of knowledge, or better the role of philosophy in assisting research on the social sources of ideas, one has to become necessarily selective.

The medieval was the most important to Chambers because he sought to place Thomas More, the author of Utopia, in some intelligible relation with St. Thomas More, the martyr.

and it is as if the only stable relation left among the different parts of the picture is the ambivalent and ambiguous one that each has with the surface.

Whenever a congregation really sees itself as a unit in the universal Church, in vital relation with the whole Body of Christ and participating in His mission to the world, a necessary foundation-stone of the ecumenical movement has been laid.

The AAA's current ' Statement of Professional Responsibility ' clearly states that " in relation with their own government and with host governments ... no secret research, no secret reports or debriefings of any kind should be agreed to or given.

However the Indo-European component of Apollo, does not explain his strong relation with omens, exorcisms, and with the oracular cult.

Artists and sculptors tried to find this ideal order in relation with mathematics, but they believed that this ideal order revealed itself not so much to the dispassionate intellect, as to the whole sentient self.

Among the scripts in modern use, the Hebrew alphabet bears the closest relation to the Imperial Aramaic script of the 5th century BCE, with an identical letter inventory and, for the most part, nearly identical letter shapes.

His work in this specific field ( based on the criss-crossing between literary criticism, bibliography, and sociocultural history ) is connected to broader historiographical and methodological interests which deal with the relation between history and other disciplines: philosophy, sociology, anthropology.

That influence was based on his relation with the assembly, a relation that in the first instance lay simply in the right of any citizen to stand and speak before the people.

He was a key figure in the Danish policies of territorial expansion in the Baltic Sea, Europeanization in close relationship with the Holy See, and reform in the relation between the Church and the public.

Atle Selberg ( 14 June 1917 – 6 August 2007 ) was a Norwegian mathematician known for his work in analytic number theory, and in the theory of automorphic forms, in particular bringing them into relation with spectral theory.

# Yoga of the Grothendieck – Riemann – Roch theorem ( K-theory, relation with intersection theory ).

Fundamental physical laws such as the conservation of mass, the conservation of momentum, and the conservation of energy may be applied to such models to derive differential equations describing the behavior of such objects, and some information about the particular material studied is added through a constitutive relation.

The transfer function is a mathematical representation, in terms of spatial or temporal frequency, of the relation between the input and output of a linear time-invariant solution of the nonlinear differential equations describing the system.

( The relation is either a differential equation, difference equation or other time scale.

For fluids which are sufficiently dense to be a continuum, do not contain ionized species, and have velocities small in relation to the speed of light, the momentum equations for Newtonian fluids are the Navier-Stokes equations, which is a non-linear set of differential equations that describes the flow of a fluid whose stress depends linearly on velocity gradients and pressure.

The relation is specified by the Einstein field equations, a system of partial differential equations.

In reality, the differential “ selection ” of a trait, or an adaptation, is a consequence of the functional effects it produces in relation to the survival and reproductive success of a given organism in a given environment.

A differential equation is a relation between a collection of functions and their derivatives.

where the reference variables may be functions of the number of particles N. Using the definition of the heat capacity at constant volume for the first differential and the appropriate Maxwell relation for the second we have:

However, the Ackermann numbers are an example of a recurrence relation that do not map to a difference equation, much less points on the solution to a differential equation.

The differential form of this relation is

** Reciprocity relation or exact differential, a mathematical differential of the form dQ, for some differentiable function Q

He described the essential diagnostic symptoms, differential diagnosis from other conditions, prevalence, relation to anemia, and common occurrence during pregnancy.

It also can refer to a connection in differential geometry and to the backward difference operator in the calculus of finite differences, as well as the all relation ( most commonly in lattice theory ).

From this relation it follows that the ring of differential operators with constant coefficients, generated by the D < sub > i </ sub >, is commutative.

Perhaps the simplest partial differential relation is for the derivative to not vanish: Properly, this is an ordinary differential relation, as this is a function in one variable.

The Schwarzian derivative has a fundamental relation with a second-order linear ordinary differential equation in the complex plane.

The findings highlighted retailers ' larger margins in the South in relation to their operations in the North and Coughlan queried why the price differential in many identical goods was substantially in excess of 5 %.

The monodromy theory of differential equations, in the complex domain, around singularities, does however come into relation with the geometric theory.

The constitutive relation is expressed as a linear first-order differential equation:

The Störmer method applied to this differential equation leads to a linear recurrence relation

As Grünbaum writes, simplicial arrangements “ appear as examples or counterexamples in many contexts of combinatorial geometry and its applications .” For instance, use simplicial arrangements to construct counterexamples to a conjecture on the relation between the degree of a set of differential equations and the number of invariant lines the equations may have.