It was all right to put a bunch of ranchers onto horses, to call them Night Riders, to set out to attack the largest mining combination the country had ever seen if all they wanted was adventure.

They recognized that slavery was a moral issue and not merely an economic interest, and that to recognize it explicitly in their Constitution would be in explosive contradiction to the concept of sovereignty they had set forth in the Declaration of 1776 that `` all men are created equal, that they are endowed by their Creator with certain unalienable rights, that among them are life, liberty and the pursuit of happiness.

We of the liberal-led world got all set for peace and rehabilitation.

The Axioms required to make the theoretical machinery operate are set out tersely and powerfully, so that all permissible operations within the theory can be traced rigorously back to these axioms, rules, and primitive notions.

For by now the original cause of the quarrel, Philip's seizure of Gascony, was only one strand in the spider web of French interests that overlay all western Europe and that had been so well and closely spun that the lightest movement could set it trembling from one end to the other.

He could produce carefully constructed orations, set and formal speeches, artfully and prayerfully made by writing and rewriting with all the aid his tutor and others could provide, and then delivered verbatim from memory.

In entering this union we will be surrendering most, if not all, of our economic autonomy to international bodies such as the Atlantic Institute ( recently set up ) or the O.E.C.D., I.M.F. and others.

The extent to which we can persuade the less developed countries to appraise their own resources, to set targets toward which they should be working, to establish in the light of this forward perspective the most urgent priorities for their immediate attention, and to do the other things which they must do to help themselves, all on a realistic long-term basis, will depend importantly on the incentives we place before them.

( For each State, make all computations set forth in items 1 to 8 above, and then add the results obtained for each State in item 8.

Before the Juniors entered the ring the Steward announced that after all Juniors had moved their dogs around the ring and set them up, they could relax with their dogs.

Above all, don't set up extravagant fringe benefits just to buy employee good will.

The huge market for changeable signs has spurred a universal demand for individual plastic letters, in all shapes and sizes -- and a number of companies are set up to supply them.

You can save all that shimming time if you set your windows in one, two, three order -- first the stud on one side, then the window, then the stud on the other side.

It was all set up so there would be no dust anywhere and so that their children would color in the coloring room, paint in the painting room, play with blocks in the block house, and do all the other things in the proper rooms at exactly the right time.

After all, if you were going to set up a workshop you had to have the proper equipment and that was that.

The set of all binomial distributions is called the family of binomial distributions, but in general discussions this expression is often shortened to `` the binomial distribution '', or even `` the binomial '' when the context is clear.

A unified set of regulations, applicable to all areas, was issued in 1929, and a complementary series of demographic inquiries in selected areas was instituted at the same time.

Unfortunately, however, and for reasons to be discussed in the following chapter, no rate relationships can be made completely nondiscriminatory as long as all or some of the rates must be set above marginal costs in order to yield adequate revenues.

J. Wheaton Smith, editor of the Warren Telegraph stated that `` the ends of justice must be satisfied, a solitary example must be set, in order that all those misnamed philantropists, who, actuated by a blind zeal, dare to instigate riot, treason, and murder, may heed it and shape their future course accordingly ''.

The set of all decisions is called the operating policy or, more simply, the policy.

The set of vectors Af constitutes the operating policy or, more briefly, the policy, and a policy is admissible if all the Af belong to S.

Houghton said 6 p.m. Friday had been set for a canvass of all 480 homes in the subdivision, which is located northeast of Dequindre and 14 Mile Road East.

The statement also points to a classic paradox: The more men turn toward God, who is not only in himself the paradigm of all unity but also the only ground on which human unity can ultimately be established, the more men splinter into groups and set themselves apart from one another.

So this proxy situation has set up at least a partial barrier between the medium's ESP and the absent sitter's mind.

For example, the division example above may also be interpreted as a partial binary function from Z and N to Q, where N is the set of all natural numbers, including zero.

It had been pointed out previously by J. J. Thomson in his series of lectures at Yale University in May 1903 that the dynamic equilibrium between the velocity generated by a concentration gradient given by Fick's law and the velocity due to the variation of the partial pressure caused when ions are set in motion " gives us a method of determining Avogadro's Constant which is independent of any hypothesis as to the shape or size of molecules, or of the way in which they act upon each other ".

If is continuous in an open set Ω and the partial derivatives of ƒ with respect to x and y exist in Ω, and satisfies the Cauchy – Riemann equations throughout Ω, then ƒ is holomorphic ( and thus analytic ).

The relation "~ is finer than ≈" on the collection of all equivalence relations on a fixed set is itself a partial order relation.

The behavior of fluids can be described by the Navier – Stokes equations — a set of partial differential equations which are based on:

A groupoid is a set G with a unary operation and a partial function Here * is not a binary operation because it is not necessarily defined for all possible pairs of G-elements.

If one identifies C with R < sup > 2 </ sup >, then the holomorphic functions coincide with those functions of two real variables with continuous first derivatives which solve the Cauchy-Riemann equations, a set of two partial differential equations.

Given a set S with a partial order ≤, an infinite descending chain is a chain V that is a subset of S upon which ≤ defines a total order such that V has no least element, that is, an element m such that for all elements n in V it holds that m ≤ n.

The Crown had purchased land from the Mississaugas and other First Nations to given the Loyalists land grants in partial compensation for property lost in the United States, and to help them set up new communities.

A different set of external arguments against the authenticity of the Testimonium ( either partial or total ) are " arguments from silence ", e. g. that although twelve Christian authors refer to Josephus before Eusebius in 324 AD, none mentions the Testimonium.

Maxwell's equations are a set of partial differential equations that, together with the Lorentz force law, form the foundation of classical electrodynamics, classical optics, and electric circuits.

In addition to two or three alliterations, the odd numbered lines had partial rhyme of consonants with dissimilar vowels, not necessarily at the beginning of the word ; the even lines contained internal rhyme in set syllables ( not necessarily at the end of the word ).

Using this relation, it is possible to construct a partial order on the quotient set of the equivalence, S / ~, the set of all equivalence classes of ~.

Conversely, from a partial order on a partition of a set S one can construct a preorder on S. There is a 1-to-1 correspondence between preorders and pairs ( partition, partial order ).

The set of total recursive functions is a subset of the partial recursive functions and is a superset of the primitive recursive functions ; functions like the Ackermann function can be proven to be total recursive, and not primitive.

For any set S, the inclusion relation ⊆ is a partial order on the set of all subsets of S ( the power set of S ).

General relativity provides a set of ten nonlinear partial differential equations for the spacetime metric ( Einstein's field equations ) that must be solved from the distribution of mass-energy and momentum throughout the universe.

Designing a good selection policy has an added difficulty: it must work with partial information, as the complete set of Web pages is not known during crawling.

The northern branch of the Grand Canal of China was constructed during the first half of the decade, the Uppsala Cathedral was begun, and a partial collapse set back construction of the Cathédrale Saint-Pierre de Beauvais in a blow to the aspirations of its Gothic architecture.

But in Boole's original system, + was a partial operation: in the language of set theory it would correspond only to disjoint union of subsets.