The direction in which the arrow points shows how the maturity level of the growth center was changed at Completion from the level at Onset.

The photograph, Figure 1 of the completed frieze, shows how, having been separated from his fellows in useless isolation for eighty years, he has now been given a hand, and by juxtaposition ( and the permission of the Committee ), given a new job, to represent the witnesses of the first flight at Kitty Hawk in 1903.

At any rate, it shows us how immaterial we are.

Mr. Bates shows us how this mutual education spreads its inevitable havoc.

Throughout `` The Making Of A President '' Mr. White shows wonderfully well how the pressures pile up on candidates, how decisions have constantly to be made, how fatigue and illness and nervous strain wear candidates down, how subordinates play key roles.

The abacus shows how numbers, letters, and signs can be stored in a binary system on a computer, or via ASCII.

* Competitive analysis ( online algorithm ) – shows how online algorithms perform and demonstrates the power of randomization in algorithms

1st century BCE ), shows how the distance to the Sun can be computed geometrically, using the different lengths of the noontime shadows observed at three places 1000 li apart and the assumption that the Earth is flat.

This work shows how Alan saw theological education as being a fundamental preliminary step in preaching and strove to give clergyman a manuscript to be “ used as a practical manual ” when it came to the formation of sermons and art of preaching.

He then shows ( quite briefly ) how determinism and free will are compatible notions, and have no bad consequences on ethics or moral life.

It is this reluctance which was felt by the Rijksmuseum to reattribute works to other painters ( Abraham van Calraet does not even appear in a Museum catalogue until 1926, and even then he is not given his own entry ) which shows how important it is to art historians that painters are accurately connected to their works — and this is continuously necessary for those of Aelbert Cuyp, as Dordrecht ’ s most famous painter may not in fact be Dordrecht ’ s most famous painter.

The BCS theory gives an expression that shows how the gap grows with the strength of the attractive interaction and the ( normal phase ) single particle density of states at the Fermi energy.

" The prophet Jonah shows us where God shows concern for the people of Nineveh, while Nahum ’ s writing testifies to his belief in the righteousness / justice of God and how God dealt with those Assyrians in punishment according to " their cruelty " ( Nahum 3: 19 ).

The codification of a law of general obligations shows how remnants of the civil law tradition in New York continued on from the Dutch days.

This is one way of representing human language that shows how different components are organized hierarchically.

This formula shows how to calculate the curl of F in any coordinate system, and how to extend the curl to any oriented three dimensional Riemannian manifold.

The figure shows how a spread spectrum signal is generated.

An account of a design studio conducted with Berkeley students, it shows how convincing urban networks can be generated by requiring individual actors to respect only local rules, in relation to neighbours.

The first of these shows the importance of women ’ s past contributions to society, and the second strives to teach women of all estates how to cultivate useful qualities in order to counteract the growth of misogyny.

This shows that the space of left invariant vector fields ( vector fields satisfying L < sub > g *</ sub > X < sub > h </ sub >

In modern language, what Diophantus does is to find rational parametrisations of many varieties ; in other words, he shows how to obtain infinitely many rational numbers satisfying a system of equations by giving a procedure that can be made into an algebraic expression

In mathematics, the proof of a " some " statement may be achieved either by a constructive proof, which exhibits an object satisfying the " some " statement, or by a nonconstructive proof which shows that there must be such an object but without exhibiting one.

Some analysis shows that, in fact, any two self-adjoint operators satisfying the above commutation relation cannot be both bounded.

Therefore, c divides the initial remainder r < sub > 0 </ sub >, since r < sub > 0 </ sub > = a − q < sub > 0 </ sub > b = mc − q < sub > 0 </ sub > nc = ( m − q < sub > 0 </ sub > n ) c. An analogous argument shows that c also divides the subsequent remainders r < sub > 1 </ sub >, r < sub > 2 </ sub >, etc.

In responding to skepticism, Hilary Putnam ( 1982 ) claims that semantic externalism yields " an argument we can give that shows we are not brains in a vat ( BIV ).

If A attempts to support his position with an argument that shows that the law ought to allow him to do the thing in question, then he is guilty of ignoratio elenchi.

Through this model, Fields shows the typical theoretical argument to be ambiguous and says " the predictions derived from the textbook model definitely do not carry over to the two-sector case.

And yet Cantor's diagonal argument shows that real numbers have higher cardinality.

If S contains two elements that are not pairwise orthogonal ( in particular, the set of all quantum states includes such pairs ) then an argument like that given above shows that the answer is no.

Thus again the Paradox shows omniscience to be a self-refuting argument as an attribute or property of such a proposed omniscient entity.

An argument by Freeman Dyson shows that the radius of convergence of the perturbation series in QED is zero.

This argument shows that more generally, any irreducible factor of P can be supposed to have integer coefficients, and leading and constant coefficients dividing the corresponding coefficients of P.

In the final section of " Sinners in the Hands of an Angry God ," Edwards shows his theological argument throughout scripture and biblical history.

The best known example of an uncountable set is the set R of all real numbers ; Cantor's diagonal argument shows that this set is uncountable.

In its later years, as part of the network's desire to maintain its own unique identity with its own unique shows, UPN had a policy of " not picking up other networks ' scraps ", which was a strong argument when fan pressure was generated in 2004 for them to pick up Angel, the spin-off of Buffy the Vampire Slayer which had been dropped from The WB.

However, the argument is non-constructive: it only shows the existence of a winning strategy, without describing it explicitly.

A similar argument shows that in two dimensions

The same argument shows why at least one of infinitely many monkeys will produce a text as quickly as it would be produced by a perfectly accurate human typist copying it from the original.

This argument continues, although the preponderance of evidence shows a positive association between social capital and the internet.

" American sociologist James Q. Wilson encapsulated this argument as the Broken Window Theory, which asserts that relatively minor problems left unattended ( such as litter, graffiti, or public urination by homeless individuals ) send a subliminal message that disorder in general is being tolerated, and as a result, more serious crimes will end up being committed ( the analogy being that a broken window left unrepaired shows an image of general dilapidation ).

To constructivists, the argument shows no more than that there is no bijection between the natural numbers and T. It does not rule out the possibility that the latter are subcountable.

The diagonal argument shows that the set of real numbers is " bigger " than the set of natural numbers ( and therefore, the integers and rationals as well ).

The same sort of argument as before shows that this is a subspace too.

For non-linear least squares systems a similar argument shows that the normal equations should be modified as follows.

Introducing this correction effectively cancels out the " Bergsland & Vogt " argument, since a thorough analysis of the Riksmal data shows that its basic wordlist includes about 15 – 16 borrowings from other Germanic languages ( mostly Danish ) – exclusion of these elements from the calculations brings the rate down to the expected rate of 5 – 6 " native " replacements per millennium ;

In graphs in which all vertices have odd degree, an argument related to the handshaking lemma shows that the number of Hamiltonian cycles through any fixed edge is always even, so if one Hamiltonian cycle is given, then a second one must also exist.