`` That is, if we can be sure this is Colcord's money '' --

It'll probably be at least an hour or two before I can check back with you.

Even as I said it I realized that an education can be invaluable.

Within their confines, moreover, technological and industrial growth has proceeded at an accelerated pace, thus increasing the cornucopia from which material wants can be satisfied.

And no messages can be transmitted on these circuits until senders and receivers authenticate in advance, by special codes, that the messages actually come from their purported sources.

Additional codes can be used to challenge and counterchallenge the authentications.

Nobody can be absolutely certain of the answers.

All can be connected with the gold circuit from their homes.

The box is internally wired so the door can never be opened without setting off a screeching klaxon ( `` It's real obnoxious '' ).

Unless all gadgets are properly operated -- and the wires and seals from the handles removed first -- no damage can be done.

I do not know if such a way of life can come to be a self-conscious challenge, but I suspect that it can.

As his disciples boast, even though his emphasis is elsewhere, Faulkner does show his awareness of the changing order of the South quite keenly, as can be proven by a quick recalling of his Sartoris and Snopes families.

An order can be chanced rather than chosen, and this approach produces an experience that is `` free and discovered rather than bound and remembered ''.

And any sequence can not only change its positions in the work but can even be eliminated from it altogether.

When it comes to this, I shall prefer emigrating to some country where they make no pretence of loving liberty -- to Russia, for instance, where despotism can be taken pure, without the base alloy of hypocrisy '' ( His emphasis )

Something of this can be learned from `` The Way To The Churchyard '' ( 1901 ), an anecdote about an old failure whose fit of anger at a passing cyclist causes him to die of a stroke or seizure.

Similarly experience itself can be conventionalized so that people react to certain preconceived clues for behavior without awareness of the vitality of their experiential field.

When words can be used in a more fresh and primitive way so that they strike with the force of sights and sounds, when tones of sound and colors of paint and the carven shape all strike the sensibilities with an undeniable force of data in and of themselves, compelling the observer into an attitude of attention, all this imitates the way experience itself in its deepest character strikes upon the door of consciousness and clamors for entrance.

it can be changed ; ;

You've already sent your daughter to Miss X's select academy for girls and your son to Mr. Y's select academy for boys, and you can be as liberal as you please with strict impunity.

In scope and power it can only be compared to Tolstoy's War And Peace.

However, for convenience we will stick to the idea that information can be classified according to Table 1.

Since the hazards of poor communication are so great, p can be justified as a habitable site only on the basis of unusual productivity such as is made available by a waterfall for milling purposes, a mine, or a sugar maple camp.

It is, however, a disarming disguise, or perhaps a shield, for not only has Mercer proved himself to be one of the few great lyricists over the years, but also one who can function remarkably under pressure.

for if this can be proved we shall surely be the gainers -- I mean, if there is a use in poetry as well as a delight ''.

The same can be said of shaving yet the electric razor has proved useful to many men.

He was also pleased with the wide distribution because he thought it proved again his argument that Dallas investment men can do just as good a job as the big New York investment bankers claim only they can do.

The Masters golf tournament proved last Monday what it can do to the strongest men and the staunchest nerves.

About that same time John Crosby's TV series on the popular arts proved again that giving jazz ample breathing space is one of the most sensible things a producer can do.

Note that " completeness " has a different meaning here than it does in the context of Gödel's first incompleteness theorem, which states that no recursive, consistent set of non-logical axioms of the Theory of Arithmetic is complete, in the sense that there will always exist an arithmetic statement such that neither nor can be proved from the given set of axioms.

It can be proved that such an area function actually exists.

* Metamath-a language for developing strictly formalized mathematical definitions and proofs accompanied by a proof checker for this language and a growing database of thousands of proved theorems ; while the Metamath language is not accompanied with an automated theorem prover, it can be regarded as important because the formal language behind it allows development of such a software ; as of March, 2012, there is no " widely " known such software, so it is not a subject of " automated theorem proving " ( it can become such a subject ), but it is a proof assistant.

These authors proved, however, that no optical system can justify these suppositions, since they are contradictory to the fundamental laws of reflexion and refraction.

A thing must be real, or exist, before anything true or proved can be said about it.

It can itself be proved using mathematical induction, as shown below.

This generalization can be proved by comparing derivatives.

This can be proved ( for integer t ) by using the formula for geometric series: ( using y = 1-x )

The contributions of Kurt Gödel in 1940 and Paul Cohen in 1963 showed that the hypothesis can neither be disproved nor be proved using the axioms of Zermelo – Fraenkel set theory, the standard foundation of modern mathematics, provided ZF set theory is consistent.

Many significant areas of mathematics can be formalised as categories, and the use of category theory allows many intricate and subtle mathematical results in these fields to be stated, and proved, in a much simpler way than without the use of categories.

From these axioms, it can be proved that there is exactly one identity morphism for every object.

For example in the Netherlands, the law assumes the stronger participant ( e. g. a car driver ) is liable in the case of an accident with a weaker participant ( e. g. a cyclist ) unless it can be proved that the cyclist's behavior could not have been expected.

The higher-dimensional chain rule can be proved using a technique similar to the second proof given above.

In his 1799 doctorate in absentia, A new proof of the theorem that every integral rational algebraic function of one variable can be resolved into real factors of the first or second degree, Gauss proved the fundamental theorem of algebra which states that every non-constant single-variable polynomial with complex coefficients has at least one complex root.

The language is context-free, however it can be proved that it is not regular.

Church subsequently modified his methods to include use of Herbrand – Gödel recursion and then proved ( 1936 ) that the Entscheidungsproblem is unsolvable: There is no generalized " effective calculation " ( method, algorithm ) that can determine whether or not a formula in either the recursive-or λ-calculus is " valid " ( more precisely: no method to show that a well formed formula has a " normal form ").