There's only one way they can get out now and that's through the Gap -- if we ride hard we can take them ''.

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

`` I know what we can do '', I said.

I think I have a way so we can carry on without his suspecting us ''.

and now I think we can use the knowledge they passed on to us.

`` We can get it if we dig '', he said patiently.

`` I suppose '', he muttered, `` I can sell the outfit for enough to send you home to your folks, once we find a settlement ''.

Once we send out the whole pie, they can put their pieces into it.

It is well then that in this hour both of `` national peril '' and of `` national opportunity '' we can take counsel with the men who made the nation.

We have staved off a war and, since our behavior has involved all these elements, we can only keep adding to our ritual without daring to abandon any part of it, since we have not the slightest notion which parts are effective.

That, I thought, is at least one thing I can find out when we meet.

But now we can keep it out no longer, because we have come into a time when `` it invades our experience at every moment.

How can we make sense of this division??

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

This is an unsolved problem which probably has never been seriously investigated, although one frequently hears the comment that we have insufficient specialists of the kind who can compete with the Germans or Swiss, for example, in precision machinery and mathematics, or the Finns in geochemistry.

We hear equally fervent concern over the belief that we have not enough generalists who can see the over-all picture and combine our national skills and knowledge for useful purposes.

But, for practical purposes, we have people who can be considered as such.

What I am here to do is to report on the gyrations of the struggle -- a struggle that amounts to self-redefinition -- to see if we can predict its future course.

One of the obvious conclusions we can make on the basis of the last election, I suppose, is that we, the majority, were dissatisfied with Eisenhower conservatism.

We have just observed that we can write Af where D is diagonalizable and N is nilpotent, and where D and N not only commute but are polynomials in T.

( see limit ), then we say that " P ( n ) holds for almost all positive integers n " ( formally, asymptotically almost surely ) and write

: But mellows what we write to the dull sweets of rhyme.

However, as more people gradually moved from working the land to living in towns ( especially those who could read and write, the only people whose use of language we now know ), the word harvest lost its reference to the time of year and came to refer only to the actual activity of reaping, and autumn, as well as fall, began to replace it as a reference to the season.

In a more general notation, for any basis in 3d space we write ;

This is related to binomials for the following reason: if we write ( x + y )< sup > n </ sup > as a product

Bliss found especially useful their " triangle of reference ": the physical thing or " referent " that we perceive would be represented at the right angle ; the meaning that we know by experience ( our implicit definition of the thing ), at the top angle ; and the physical word that we speak or write, at the left angle.

In this case, we write x ∈ A.

Equivalently, we can think of tangent vectors as tangents to curves, and write

With inputs and outputs, we would otherwise have to write down Laplace transforms to encode all the information about a system.

Now, using Newton's second law we can write ( using convenient units ):

If we write an n-by-n matrix in terms of its column vectors

He also lacked a symbol for a general number n. Where we would write, Diophantus has to resort to constructions like: ... a sixfold number increased by twelve, which is divided by the difference by which the square of the number exceeds three.

Hence, we may also write the formula as follows:

We see this as diminishing of pressure on the outer shell ( which is used in the ideal gas law ), so we write ( something ) instead of.

For path-connected spaces, therefore, we can write π < sub > 1 </ sub >( X ) instead of π < sub > 1 </ sub >( X, x < sub > 0 </ sub >) without ambiguity whenever we care about the isomorphism class only.

Hence we may write:

Let φ be a formula of degree k + 1 ; then we can write it as

Siege's goal was maximum velocity: " We would listen to the fastest punk and hardcore bands we could find and say, ' Okay, we're gonna deliberately write something that is faster than them '", drummer Robert Williams recalled.

For instance, we can write a program to copy an entire input file to output in a single line:

In those disciplines we would write the product as ( the bra-ket notation of quantum mechanics ), respectively ( dot product as a case of the convention of forming the matrix product AB as the dot products of rows of A with columns of B ).

Since the entries of the Jacobian matrix are partial derivatives, we may simplify the above formula to get:

In mathematics, the Cauchy – Riemann differential equations in complex analysis, named after Augustin Cauchy and Bernhard Riemann, consist of a system of two partial differential equations which must be satisfied if we know that a complex function is complex differentiable.

This implies that the partial derivatives of u and v exist ( although they need not be continuous ) and we can approximate small variations of f linearly.

So assume ƒ is differentiable at 0, as a function of two real variables from Ω to C. This is equivalent to the existence of two complex numbers and ( which are the partial derivatives of ƒ ) such that we have the linear approximation

" It is likely that we have only a partial view of their beliefs, because the writings of the Cathars were mostly destroyed due to the doctrinal threat perceived by the Papacy ; much of our existing knowledge of the Cathars is derived from their opponents.

The 2007 bio drama What we do is secret, about the punk band The Germs, is done in a partial documentary style, with cast members addressing the camera as if being interviewed.

The dissenters, who included Rabbi Joel Roth as well as a partial concurrence by Rabbi Daniel Nevins, argued for reaffirming the classical halakhic framework in which human decrees inform and often limit but never wholly abrogate law believed to be of Divine origin, stating that " we should acknowledge that God's law is beyond our authority to eliminate ", but should continue the traditional approach of applying strict evidentiary rules and presumptions that tend to render enforcement unlikely.

One may define a partial order on the idempotents of a ring as follows: if a and b are idempotents, we write if and only if.

He circulated copies of the historian Gaius Cornelius Tacitus ' work, which was barely read at the time, and so we perhaps have him to thank for the partial survival of Tacitus ' work ; however, modern historiography rejects his claimed descent from the historian as forgery.

This gives the partial order associated with the strict partial order "<" through reflexive closure ; in this case the equivalence is equality, so we don't need the notations and ~.

In a way, by working with these particular schemata building blocks, we have reduced the complexity of our problem ; instead of building high-performance strings by trying every conceivable combination, we construct better and better strings from the best partial solutions of past samplings.

As a result of this definition, we can conclude that the total gain of an antenna is the sum of partial gains for any two orthogonal polarizations.

That is, suppose we accept this as a partial truth table for implies:

The reason for this is that all the other variables are treated as constant when taking the partial derivative, so any function which does not involve will disappear when taking the partial derivative, and we have to account for this when we take the antiderivative.

To describe partial search, we consider a database separated into blocks, each of size.

In many works, the agent is also assumed to observe the current environmental state, in which case we talk about full observability, whereas in the opposing case we talk about partial observability.

Simplifying, we arrive at the celebrated Black – Scholes partial differential equation:

Finally, he showed that a larger function L with partial derivatives that are exactly the ones we require can be constructed very simply as below: