Proof of first property: from 3. we obtain ( a < sup >− 1 </ sup >)< sup >− 1 </ sup >=

For the role, Crowe won an Australian Film Institute ( AFI ) award for Best Actor, following up from his Best Supporting Actor award for Proof in 1991.

Fourth Session ( October 1, 787 ) -- Proof of the lawfulness of the veneration of icons was drawn from Exodus 25: 19 sqq.

Proof examples from 1936 to 1942 and 1950 to 1967 were struck at the Philadelphia Mint ; in 1968 proof production was shifted to the San Francisco Mint.

In fact, Thurston resolved so many outstanding problems in foliation theory in such a short period of time that, according to Thurston, it led to a kind of exodus from the field, where advisors counselled students against going into foliation theory because Thurston was " cleaning out the subject " ( see " On Proof and Progress in Mathematics ", especially section 6 ).

* Proof ( comics ), a comic series from Image Comics

* " Proof ", a song by Coldplay from " Speed of Sound "

* " Proof " ( I Am Kloot song ), a song by I Am Kloot from their eponymous second album

* " Proof ", a song by Paul Simon from The Rhythm of the Saints

* " Proof ", a song by Happy Rhodes from Many Worlds Are Born Tonight

After a highly troubled recording process for Extraction ( 2003 )– a collaboration with drummer Dennis Chambers and bassist Victor Wooten — he took an extended hiatus from recording solo material until the release of his eighth studio album, Sound Proof, in 2008.

Their first single, " Down in Mexico ," was an R & B hit in 1956 and appears ( in a re-recording from 1970 — still with Gardner singing the lead ) on the soundtrack of Quentin Tarantino's Death Proof.

Proof that Bahya borrowed from Sufism is underscored by the fact that the title of his eighth gate, Muḥasabat al-Nafs (" Self-Examination "), is reminiscent of the Sufi Abu Abd Allah Ḥarith Ibn-Asad, who has been surnamed El Muḥasib (" the self-examiner "), because — say his biographers —" he was always immersed in introspection "

1922: Proof by Abraham Fraenkel that the axiom of choice cannot be proved from the axioms of Zermelo's set theory with urelements.

* Open Drip Proof, a type of electric motor enclosure that has vents to allow air flow but to prevent liquids and solids from entering the motor

Bikutsi's international renown continued to grow, and the song " Proof " from Paul Simon's Rhythm of the Saints, released to mainstream promotion and success in 1990, gained yet more renown from international audiences.

Proof of this is shown by the diplomatic correspondence from the rulers of Assyria, Mitanni, Babylon, and Hatti which is preserved in the archive of Amarna Letters ; these letters document frequent requests by these rulers for gold and numerous other gifts from the pharaoh.

When a second child is cut, the node itself needs to be cut from its parent and becomes the root of a new tree ( see Proof of degree bounds, below ).

He had a brief role as an incestuous, abusive father in an independent production, 100 Proof, for which he received good reviews from critics.

* Proof of Concept: How to create a live CD / DVD from your HDD Installation

Proof for the body being distinct from the mind

Proof coins through 1955 could be ordered individually from the mint.

As Legacy Proof sets, the practice was resumed from 2005 to 2008.

Proof sheets were the means by which syndicates provided newspapers with black-and-white line art for the reproduction of strips ( which they arranged to have colored in the case of Sunday strips ).

He famously put the point into dramatic relief with his 1939 essay " Proof of an External World ", in which he gave a common sense argument against scepticism by raising his right hand and saying " Here is one hand ," and then raising his left and saying " And here is another ," then concluding that there are at least two external objects in the world, and therefore that he knows ( by this argument ) that an external world exists.

#* Proof: suppose that p is composite, hence can be written with a and Then is prime, but and contradicting statement 1.

* The Nature of Judicial Proof: An Inquiry into the Logical, Legal, and Empirical Aspects of the Law of Evidence ( 1931, with Jerome Michael )

In 2000, Crow became romantically involved with his co-star Meg Ryan on the set of Proof of Life.

 He made another major contribution to the field in his 1979 paper, joint with his student Robert A. Reckhow, " The Relative Efficiency of Propositional Proof Systems ", in which they formalized the notions of p-simulation and efficient propositional proof system, which started an area now called propositional proof complexity.

Cook co-authored a book with his student Phuong The Nguyen in this area titled " Logical Foundations of Proof Complexity ".

Proof of this must be supplied with one's application for naturalisation.

In the middle, Simon embarked on the successful Born at the Right Time Tour and promoted the album with further singles, including " Proof " – accompanied with a humorous video featuring, again, Chevy Chase.

* Proof by verbosity, sometimes colloquially referred to as argumentum verbosum-a rhetorical technique that tries to persuade by overwhelming those considering an argument with such a volume of material that the argument sounds plausible, superficially appears to be well-researched, and it is so laborious to untangle and check supporting facts that the argument might be allowed to slide by unchallenged.

Proof of the affront had been captured with a cell phone camera.

* 1994: Revlon " Kiss Proof " with Cindy Crawford

Proof of claim: Consider a graph on t vertices and colour its edges with c colours.

As there is no explicit Federal requirement for a two person train crew the Utah Transit Authority's FrontRunner service was originally planned to be operated by an operator only with revenue collection being handled by a Proof of Payment system.

* Metamath Proof explorer a repository of mathematical theorems along with their proofs using the Metamath proof assistant.

Fusion shred guitarist, and session musician Greg Howe has released solo albums such as Introspection ( 1993 ), Uncertain Terms ( 1994 ), Parallax ( 1995 ), Five ( 1996 ), Ascend ( 1999 ), Hyperacuity ( 2000 ), Extraction ( 2003 ) with electric bassist Victor Wooten and drummer Dennis Chambers, and Sound Proof ( 2008 ).

Lanier is currently working on a book Technology and the Future of the Human Soul, and a music album Proof of Consciousness, in collaboration with Mark Deutsch.

Proof of this was that even though Cheoljong ruled the country for 13 years, until his very last days he had not yet learned how to move with dignity or how to wear royal clothes, so that in even the most luxurious of robes he still looked like a fisherman.

Intending to record one more song for the album (" Living Proof "), he ended up with ten new songs, which became Lucky Town.

Although shadowed by Eminem's success, other members Bizarre and Proof managed to prevail with mildly successful solo careers with the releases of Hannicap Circus and Searching for Jerry Garcia in 2005.