One proof was given by Alfred Kempe in 1879, which was widely acclaimed ; another was given by Peter Guthrie Tait in 1880.

One can formulate an analytic proof for the equivalence of GPDA's and PDA's using the following simulation:

One of the first standard results using the class equation is that the center of a non-trivial finite p-group cannot be the trivial subgroup ( proof ).

The Elements of Theology, which consists of 211 propositions, each followed by a proof, beginning from the existence of the One ( the first principle of all things ) and ending with the descent of individual souls into the material world.

One of the Millennium Prize Problems announced by the Clay Mathematics Institute requires a claimant to produce such a proof.

One is based on the reverse logic that punishment is a proof of guilt, and therefore seeks to rob Saul of any halo which might surround him ; typically this view is similar to the republican source.

One proof is based on the notion of God.

One can see from the proof that the Cauchy – Schwarz inequality is a consequence of the positivity and anti-symmetry inner-product axioms.

One of Frege's stated purposes was to isolate genuinely logical principles of inference, so that in the proper representation of mathematical proof, one would at no point appeal to " intuition ".

One proof of the impossibility of finding a planar embedding of K < sub > 3, 3 </ sub > uses a case analysis involving the Jordan curve theorem, in which one examines different possibilities for the locations of the vertices with respect to the 4-cycles of the graph and shows that they are all inconsistent with a planar embedding.

One of the least reliable standards of proof, this assessment is often used in admistrative law, and often in Child Protective Services ( CPS ) proceedings in some states.

One of these countries is Portugal, where the proof presented loses all the significance when collected by a private detective.

One of the fundamental theorems of Galois theory states that an equation is solvable in radicals if and only if it has a solvable Galois group, so the proof of the Abel – Ruffini theorem comes down to computing the Galois group of the general polynomial of the fifth degree.

One example of such a formal proof is as follows.

One of the main goals of Hilbert's program was a finitistic proof of the consistency of the axioms of arithmetic: that is his second problem.

One proposed remedy is to shift focus to some degree onto ' what is meant by a proof ', and other such questions of method.

One is a result from his doctoral thesis in proof theory, and the other one half of the Herbrand – Ribet theorem.

One key point of proof was missing from the broadcast: the North Vietnamese Army, who had chemical warfare units stationed in southern Laos at the time, made no comment on what would have been a propaganda coup of gigantic proportions.

They show his tattered coat smeared with his blood – really goat blood – as proof that what they say is true (" One More Angel in Heaven ").

One New Jersey group called the " Devil Hunters " refer to themselves as “ official researchers of the Jersey Devil ", and devote time to collecting reports, visiting historic sites, and going on nocturnal hunts in the Pine Barrens in order to " find proof that the Jersey Devil does in fact exist.

One could get another explanation from type theory, in which a proof of an existential statement can come only from a term ( which we can see as the computational content ).

One way to classify different styles of deduction systems is to look at the form of judgments in the system, i. e., which things may appear as the conclusion of a ( sub ) proof.

One criticism of the Argument from Free Will is that in point 4 of the proof it simply assumes that foreknowledge and free will are incompatible.

One writer has recently argued that the procedure has a rational basis, envisioning punishment only upon clear proof of pregnancy ( a swelling belly ) or venereal disease ( a rotting thigh ).

One chain extends across the sea to Chios, another extends across Euboea to Samos, and a third extends across the Peloponnese and Crete to Rhodes, dividing the Aegean from the Mediterranean.

One method of building a mooring is to use three or more conventional anchors laid out with short lengths of chain attached to a swivel, so no matter which direction the vessel moves one or more anchors will be aligned to resist the force.

One could then unplug the C64 itself from the drives ( i. e. from the first drive in the daisy chain ) and do something else with the computer as the drives proceeded to copy the entire disk.

One is worn on a long chain around the neck ; the second on a much smaller chain attached to the first chain.

One of the next business is intended to be hotels http :// www. montrealgazette. com / travel / IKEA + plans + stylish + budget + hotel + chain + Europe / 7099320 / story. html

One likely chain of development is that the eyes originated as simple patches of photoreceptor cells that could detect the presence or absence of light, but not its direction.

One of the first loyalty cards backed by a major chain is believed to be the Sainsbury's Homebase Spend and Save Card in 1982.

One of the frescos depicts Elisabeth of Poland, Queen of Hungary leading a chain dance.

One 1941 property from the Waco, Texas-based Alamo Plaza Courts chain, the first US motel chain ( founded 1929, expansion stopped with the departure of the chain's founders in the 1950s ), still stands on U. S. Route 190 in Baton Rouge, Louisiana, but has been declining steadily since a change of ownership in the mid-1980s.

One particular polymerase, from the thermophilic bacterium, Thermus aquaticus ( Taq ) ( PDB 1BGX, EC 2. 7. 7. 7 ) is of vital commercial importance due to its use in the polymerase chain reaction, a widely used technique of molecular biology.

Six major movements can be observed in the evolution of supply chain management studies: Creation, Integration, and Globalization ( Movahedi et al., 2009 ), Specialization Phases One and Two, and SCM 2. 0.

One of these, John Barras, is now commemorated in the pub chain of the same name.

One chain letter distributed on MSN Hotmail began, " Hey it's Tara and John the directors of MSN "... and tells you that your account will be deleted if you don't send that message to everyone.

One country where it remained widely available well past the 90s is the UK, where the chain Jessops carried one film: Kodak Ektachrome 64T.

One notable exception to this " rule " is fast-growing regional chain Sheetz, which does sell some soft-core pornographic material such as Playboy ( including its various " special " issues ), Penthouse, and Playgirl.

One or more auxiliary verbs often combine with a full verb to form a verb catena ( chain of verbs ).

* One of the last commercials for the Zayre chain used the song in a Christmas ad.

One of the principal differences between HTH motifs in these different proteins arises from the stereo-chemical requirement for glycine in the turn which is needed to avoid steric interference of the beta-carbon with the main chain: for cro and repressor proteins the glycine appears to be mandatory, while for many of the homeotic and other DNA-binding proteins the requirement is relaxed.

One example of the bricks-and-clicks model is when a chain of stores allows the user to order products online, but lets them pick up their order at a local store.

One of the book's early champions was Thornton Wilder, who wrote to Gertrude Stein and Alice Toklas in August 1939, a few months after the book's publication: " One of my absorptions [...] has been James Joyce's new novel, digging out its buried keys and resolving that unbroken chain of erudite puzzles and finally coming on lots of wit, and lots of beautiful things has been my midnight recuperation.