[permalink] [id link]
** Conversely, if ƒ: I → R is absolutely continuous and thus differentiable almost everywhere, and satisfies | ƒ ′( x )| ≤ K for almost all x in I, then ƒ is Lipschitz continuous with Lipschitz constant at most K.
from
Wikipedia
Some Related Sentences
** and Conversely
** Conversely, to disassociate, is to disconnect those associations in your mind and distance yourself from certain thoughts or ideas.
** and if
** A uniform space is compact if and only if it is complete and totally bounded.
** DI — Defensive Indifference: if the catcher does not attempt to throw out a runner ( usually because the base would be insignificant ), the runner is not awarded a steal.
** the former yat alternates between " ya " and " e ": it is pronounced " ya " if it is under stress and the next syllable does not contain a front vowel ( e or i ) – e. g. мляко ( mlyàko ), хляб ( hlyab ), and " e " otherwise – e. g. млекар ( mlekàr ) – milkman, хлебар ( hlebàr ) – baker.
** Counterfactual conditional, or subjunctive conditional, indicates what would be the case if its antecedent were true
** Executive chairman – the chairman's post may also exist as an office separate from that of CEO, and it is considered an executive chairman if that titleholder wields influence over company operations, such as Steve Case of AOL Time Warner and Douglas Flint of HSBC.
** if a player is penalized for unsportsmanlike conduct for actions that occurred during a play ending in a touchdown by that team, but before the goal line was crossed, the touchdown will be nullified.
** Players lined up outside the tackle box — more specifically, those lined up more than 7 yards from the center — will now be allowed to block below the waist only if they are blocking straight ahead or toward the nearest sideline.
** The reinforce band is only present if the cannon has two reinforces, and it divides the first reinforce from the second.
** Religion ( or " NRE " if none ) and blood group with RH factor
** Religious preference, or medical allergy if red medical tag
** E-mail servers can then query blacklist. example through the DNS mechanism to find out if a specific host connecting to them is in the blacklist.
** Earliest day on which Feast of the Holy Family can fall, celebrated on Sunday after Christmas or 30 if Christmas falls on a Sunday.
** Hippolita in The Castle of Otranto-Hippolita is depicted as the obedient wife of her tyrant husband who “ would not only acquiesce with patience to divorce, but would obey, if it was his pleasure, in endeavouring to persuade Isabelle to give him her hand ”.
** Bank Holiday, if it is a Sunday, the day moves to January 3 ( Scotland )
** The Contractarianism of John Rawls, which holds that the moral acts are those that we would all agree to if we were unbiased.
** Utilitarianism, which holds that an action is right if it leads to the most happiness for the greatest number of people.
** State consequentialism or Mohist consequentialism, which holds that an action is right if it leads to state welfare, through order, material wealth, and population growth
** Egoism, the belief that the moral person is the self-interested person, holds that an action is right if it maximizes good for the self.
** Parity function, a Boolean function whose value is 1 if the input vector has an odd number of ones
** Parity flag in computing, indicates if the number of set bits is odd or even in the binary representation of the result of the last operation
** if the material, after some deformation, eventually resists further deformation, it is considered a solid
** if, by contrast, the material flows indefinitely, it is considered a fluid
** if the material deformation strain increases linearly with increasing applied stress, then the material is linear elastic within the range it shows recoverable strains.
** if the material deformation rate increases linearly with increasing applied stress, then the material is viscous in the Newtonian sense.
** and ƒ
** More generally, Rademacher's theorem extends the differentiability result to Lipschitz mappings between Euclidean spaces: a Lipschitz map ƒ: U → R < sup > m </ sup >, where U is an open set in R < sup > n </ sup >, is almost everywhere differentiable.
** and I
** Pope Celestine I ( Roman Catholic Church )
** Pope Sixtus I
** Pope Stephen I
** Stephen I of Hungary
** Aristotelian commentaries: Metaphysics, Prior Analytics I, Topics, De sensu and Meteorology,
** Andronikos I Komnenos ( 1118 – 1185 )
** Andronikos I of Trebizond ( 1222 – 1235 )
** " Hello, John ," I said.
** Bayezid I Mosque and complex ( külliye )
** To form the passive voice: " I was told that you wanted to see me "
** Cassius Dio's account of Claudius ' reign, part I
** Henry I ( 1031 – 1060 )
** Philip I ( 1060 – 1108 )
** John I ( 1316 )
** Francis I ( 1515 – 1547 )
** Alphonse I ( 1139 – 1185 )
** Sancho I ( 1185 – 1211 )
** Peter I ( 1357 – 1367 )
** Ferdinand I ( 1367 – 1383 )
** Charles I ( 1266 – 1285 )
** Joanna I ( 1343 – 1382 )
** René I ( 1435 – 1442 )
** Charles I ( 1266 – 1285 )
** Ferdinand I ( 1815 – 1825 )
** Francis I ( 1825 – 1830 )
0.876 seconds.