### Some articles on *proved*:

... Known results include Parity is not in nonuniform AC0,

**proved**by Ajtai (1983) and by Furst, Saxe and Sipser ... Uniform TC0 is not contained in PP,

**proved**by Allender ... the majority function, it was only in 2010 that Williams

**proved**that ...

... List of unsolved problems in mathematics Can the Lonely runner conjecture be

**proved**for k≥8? k year

**proved**proved by notes 1 - - trivial t=0 any t 2 - - trivial t=(v1-v0)/2 3 ...

... theorem, answering a question apparently posed by Poincaré around 1908 it was

**proved**by Louis Mordell in 1922 ... It can be

**proved**by direct analysis of the doubling of a point on E ... of C with A(K) be infinite? (Not unless C = A, according to Mordell's conjecture,

**proved**by Faltings.) In the same context, can C contain infinitely many torsion points of A? (No ...

... He

**proved**that every valued field can be embedded into a complete valued field which is algebraically closed ... In 1918 he

**proved**that the sum of reciprocals of consecutive natural numbers is never an integer ... Extending Hilbert's argument, he

**proved**that everything that can be constructed using a ruler and a compass, can be constructed by using a ruler and the ...

... in the workforce, but many of them

**proved**unreliable like running amock or malfunctioning ... The humanoid

**proved**to loyal to the earth, and the aliens were forced to destroy their own vessel to defeat it, and died in the process ... Morgan was

**proved**right as the humanoid's body lay before the onlookers, demonstrating that Morgan's faith in the monster was justified ...

### Famous quotes containing the word proved:

“Anyone who can be *proved* to be a seditious person is an outlaw before God and the emperor; and whoever is the first to put him to death does right and well.... Therefore let everyone who can, smite, slay and stab, secretly or openly, remembering that nothing can be more poisonous, hurtful, or devilish than a rebel.”

—Martin Luther (1483–1546)

“To believe in something not yet *proved* and to underwrite it with our lives: it is the only way we can leave the future open. Man, surrounded by facts, permitting himself no surmise, no intuitive flash, no great hypothesis, no risk, is in a locked cell. Ignorance cannot seal the mind and imagination more surely.”

—Lillian Smith (1897–1966)

“If, for instance, they have heard something from the postman, they attribute it to “a semi-official statement”; if they have fallen into conversation with a stranger at a bar, they can conscientiously describe him as “a source that has hitherto *proved* unimpeachable.” It is only when the journalist is reporting a whim of his own, and one to which he attaches minor importance, that he defines it as the opinion of “well-informed circles.””

—Evelyn Waugh (1903–1966)