`` We can claim on the maximum amount of the bond '', Berger said.

Leslie Newbiggin reflects the dominant position within the World Council of Churches when he says, `` We must claim absoluteness and finality for Christ and His finished work, but that very claim forbids us to claim absoluteness and finality for our understanding of it ''.

* " We therefore find that Professor Behe ’ s claim for irreducible complexity has been refuted in peer-reviewed research papers and has been rejected by the scientific community at large.

In response to the claim in Whewell's treatise that " We may thus, with the greatest propriety, deny to the mechanical philosophers and mathematicians of recent times any authority with regard to their views of the administration of the universe ", Charles Babbage published what he called The Ninth Bridgewater Treatise, A Fragment.

We claim that the vectors are linearly independent.

The Court responded, " We reject this claim because neither the Supreme Court, nor this circuit, has ever held that evolutionism or Secular Humanism are ' religions ' for Establishment Clause purposes.

We claim the rational, eschew the irrational ,( contrary to reason ) and question the non-rational ( that which is neither provable nor disprovable by reason alone, i. e. life after death ).

# We came to the conclusion that the wife could not claim this right on any legal basis.

We can also, rationally accept a claim on the basis of another persons testimony unless at least one of the following is found to be true: 1. the claim is implausible ; 2.

A famous claim of the self-evidence of a moral truth is in the United States Declaration of Independence, which states, " We hold these Truths to be self-evident, that all men are created equal, that they are endowed by their Creator with certain unalienable Rights, that among these are Life, Liberty and the pursuit of Happiness.

We recognize that Jesus is telling a story to illustrate a moral point, and that such stories often don't claim to correspond to actual events.

We must, however, handle these with some caution, since some of the poems ( Idylls ) commonly attributed to him have little claim to authenticity.

We note again that no claim is made that the activity is not sufficiently connected to the State to justify a tax, or that the tax is not fairly related to benefits provided the taxpayer, or that the tax discriminates against interstate commerce, or that the tax is not fairly apportioned.

The 25th anniversary issue of Biblical Archeological Review ( March / April 2001 edition ), editor Hershel Shanks quoted several biblical scholars who insisted that minimalism was dying, although leading minimalists deny this and a claim has been made " We are all minimalists now ".

They claim that they are entitled to compensation for Pepsi's use of the song " Why Can ’ t We Be Friends?

" She argues that Dissenters deserve the same rights as any other men: " We claim it as men, we claim it as citizens, we claim it as good subjects.

We claim that, as a field, the quotient is isomorphic to the complex numbers, C. A general complex number is of the form, where a and b are real numbers and Addition and multiplication are given by

Announcing the death of Life, Maxwell declared: “ We cannot claim, like Mr. Gene Tunney, that we resigned our championship undefeated in our prime.

At the Eleventh Annual Assembly in 1915, the General Overseer stated in his annual address, " We do not claim to have reached perfection ; we are only searching for it.

We have lim < sub > x → c </ sub > a < sub > n </ sub > = L if and only if for every neighborhood Y of L, the net is eventually in Y.

Consider a function from a metric space M to a topological space V, and a point c of M. We direct the set M

* We are allowed to " add inequalities ": If a ≤ b and c ≤ d, then a + c ≤ b + d

* We are allowed to " multiply inequalities with positive elements ": If a ≤ b and 0 ≤ c, then ac ≤ bc.

Then, they were ranked to the east, when they were buried in the 5th and later to the beginning of the 6th c. We can notice a strong Anglo-Saxon influence in the middle of the period, that disappears later.

We can now write simply p = E / c as the relationship between momentum, energy, and speed of light.

Ptolemy ( c. AD 90 – c. AD 168 ) stated " We consider it a good principle to explain the phenomena by the simplest hypothesis possible ",.

:: c. We know < u > who Larry sent to the store </ u >.

:: c. * We know < u > who is he trying to avoid </ u >.

Abstractly, we can say that D is a linear transformation from some vector space V to another one, W. We know that D ( c ) = 0 for any constant function c. We can by general theory ( mean value theorem ) identify the subspace C of V, consisting of all constant functions as the whole kernel of D. Then by linear algebra we can establish that D < sup >− 1 </ sup > is a well-defined linear transformation that is bijective on Im D and takes values in V / C.

We have shown above that the field is pointing upwards inside the solenoid, so the horizontal portions of loop c do not contribute anything to the integral.

We now prove the result for the general case of c colours.

The proof is again by induction, this time on the number of colours c. We have the result for c =

We use the symbol · to multiply two vectors together, which we use complex multiplication to define: ( a, b ) · ( c, d )

We know of twelve kings of each of the first two dynasties, those of Awan ( or Avan ; c. 2400 – 2100 BC ) and Simash ( c. 2100 – 1970 BC ), from a list from Susa dating to the Old Babylonian period.

* Paul Valéry, French poet ( 20th c .) reminds us of the importance of representations and action: " We have always sought explanations when it was only representations that we could seek to invent ", " My hand feels touched as well as it touches ; reality says this, and nothing more ".

:: c. * We are working, which is occurring on the problem.

We could, alternatively, choose an encoding for Turing machines, where an encoding is a function which associates to each Turing Machine M a bitstring < M >.

We use the stronger statement that every odd ( antipode-preserving ) mapping h: S < sup > n-1 </ sup > → S < sup > n-1 </ sup > has odd degree.

We can then define the differential map d: C < sup >∞</ sup >( M ) → T < sub > x </ sub >< sup >*</ sup > M at a point x as the map which sends f to df < sub > x </ sub >.

We list the elements of A effectively, n < sub > 0 </ sub >, n < sub > 1 </ sub >, n < sub > 2 </ sub >, n < sub > 3 </ sub >, ...

We repeat this procedure to find m < sub > 2 </ sub > > m < sub > 1 </ sub >, etc.

Indeed, following, suppose ƒ is a complex function defined in an open set Ω ⊂ C. Then, writing for every z ∈ Ω, one can also regard Ω as an open subset of R < sup > 2 </ sup >, and ƒ as a function of two real variables x and y, which maps Ω ⊂ R < sup > 2 </ sup > to C. We consider the Cauchy – Riemann equations at z = 0 assuming ƒ ( z ) = 0, just for notational simplicity – the proof is identical in general case.

We can use it as basis to say, " a < b " and " b > a ", two judgments which designate the same state of affairs.

We define the periodic Bernoulli functions P < sub > n </ sub > by

We are interested in the following set of continuous functions called loops with base point x < sub > 0 </ sub >.

The ( unique ) representable functor F: → is the Cayley representation of G. In fact, this functor is isomorphic to and so sends to the set which is by definition the " set " G and the morphism g of ( i. e. the element g of G ) to the permutation F < sub > g </ sub > of the set G. We deduce from the Yoneda embedding that the group G is isomorphic to the group

We must also prevent the decoder from using the last code in the upper block, 2 < sup > n + 1 </ sup > − 1, because when the decoder fills that slot, it will increase the code width.

#* We extend this result to more and more complex and lengthy sentences, D < sub > n </ sub > ( n = 1, 2 ...), built out from B, so that either any of them is refutable and therefore so is φ, or all of them are not refutable and therefore each holds in some model.

#* We finally use the models in which the D < sub > n </ sub > hold ( in case all are not refutable ) in order to build a model in which φ holds.

where ω is implicitly a function of k. We assume that the wave packet α is almost monochromatic, so that A ( k ) is nonzero only in the vicinity of a central wavenumber k < sub > 0 </ sub >.

If ƒ is complex differentiable at every point z < sub > 0 </ sub > in an open set U, we say that ƒ is holomorphic on U. We say that ƒ is holomorphic at the point z < sub > 0 </ sub > if it is holomorphic on some neighborhood of z < sub > 0 </ sub >.