“Complete knowledge of the nature of an analytic function must also include insight into its behavior for imaginary values of the arguments. Often the latter is indispensable even for a proper appreciation of the behavior of the function for real arguments. It is therefore essential that the original determination of the function concept be broadened to a domain of magnitudes which includes both the real and the imaginary quantities, on an equal footing, under the single designation complex numbers.” RealValuesNumbersEqualEssentialsBehaviorConceptsDeterminationArgumentLogicFunctionOriginalsComplexesAppreciationInsightCertaintyUncertaintyReasoningLatterQuantityImaginaryIndispensableDomainMagnitudeOntologyAnalyticsDesignationComplex Numbers Author:Carl Friedrich Gauss
“To some degree, yeah, because I have to play a certain number of originals that might be considered avant-garde material. I realize though, that only a few people in the audience actually know what that music is, or understand it.” PeopleKnowsPlayMightCertainRealizingNumbersAudienceMaterialsDegreesMusic IsOriginalsYeahAvant Garde Author:Archie Shepp
“Imagine discovering a continent so vast that it may have no end to its dimensions. Imagine a new world with more resources than all our future greed might exhaust, more opportunities than there will ever be entrepreneurs enough to exploit, and a peculiar kind of real estate that expands with development. Imagine a place where trespassers leave no footprints, where goods can be stolen infinite number of times and yet remain in the possession of their original owners, where business you never heard of can own the history of your personal affairs.” WorldKindMayRealEndsEnoughMightOpportunityNumbersImagineHeardDevelopmentResourcesInfiniteOriginalsEntrepreneurGreedAffairPossessionDimensionsOwnersGoodsOur FuturePeculiarNew WorldDiscoveringContinentsEstatesStolenExploitsFootprint Author:John Perry Barlow
“I became a little alarmed at the number of my readers who took the meme more positively as a theory of human culture in its own right - either to criticize it (unfairly, given my original modest intention) or to carry it far beyond the limits of what I then thought justified. This was why I may have seemed to backtrack.” HumansMayLittlesCultureGivenNumbersAtheismTheoryReaderLimitsOriginalsIntentionPositive AtheismCriticizeModestJustifiedPositivelyMemes Book:A Devil's Chaplain Source: A Devil's Chaplain
“If we remembered everything, we should on most occasions be as ill off as if we remembered nothing. It would take us as long to recall a space of time as it took the original time to elapse, and we should never get ahead with our thinking. All recollected times undergo, accordingly, what M. Ribot calls foreshortening; and this foreshortening is due to the omission of an enormous number of facts which filled them.” IfsThinkingShouldLongFactsSpaceNumbersOriginalsFilledIllDuesEnormousOccasionsRememberedRecallsForgetfulnessGet AheadOmission Author:William James
“Only simple ideas can be held by large groups of people. Commonly held ideas are almost always dumbed down until they are practically lies... and often dangerous ones. Once vast numbers of people have come to believe the lie, they adjust their own behavior to bring themselves into sync with it, and thereby change the world itself. The world, then, no longer resembles the one that gave rise to the original insight. Soon, a person's situation is so at odds with the world as it really is that a crisis develops, and he or she must seek a new metaphor for explanation and guidance.” PeopleWorldBelievePersonsIdeasLyingSimpleNumbersSituationGroupsDangerousBehaviorOriginalsCrisisMetaphorInsightGuidanceExplanationChanging The WorldOddsSyncLarge GroupsSimple Ideas Author:Bill Bonner
“I was lucky enough to build on the work of a number of people who had already run laps around this theory-building track. The original classification scheme, years ago, distinguished radical from incremental change. The theory said that established firms managed incremental change well, but would be expected to founder when their industry encountered a radical change.” PeopleYearsWellsSaidEnoughWould BeRunningNumbersBuildingTheoryIndustryLuckyYears AgoOriginalsTrackExpectedRadicalFirmSchemesFoundersLapDistinguishedClassificationRadical ChangeIncremental Change Author:Clayton Christensen
“What I am trying to say is that it is not without any value. The value of copies is that they can direct us towards the original. I was recently at the Louvre Museum and I was filming people who were viewing the Mona Lisa. I noticed the number of ordinary people, astonished, mouths agape, standing still for long stretches looking at the work, and I wondered, "Where does this come from? Are these people all art connoisseurs?" They are like me; through the years, we've seen this work in our schoolbooks or art history books, but when we stand before the original, we hold our breath.” PeopleTryingYearsLongDoeArtStillsBookValuesNumbersOrdinaryMouthsStandingDirectBreathsOriginalsLike MeCopiesMuseumsOrdinary PeopleThrough The YearsArt HistoryHistory BooksStanding StillMona LisaConnoisseurAgapeLouvre Author:Abbas Kiarostami
“Nixon was the one force in Montgomery for a number of years that made any effort in the direction of challenging the power structure. Ed Nixon's source of direction for that comes out of his relationship with the Brotherhood of Sleeping Care Porters and the Randolph philosophy of mass action. So, Ed Nixon really was the force that conceived of the boycott and drew up the original papers for the boycott.” YearsMadePhilosophyCareActionForceChallengesSleepNumbersEffortSourcePaperMassOriginalsStructureBrotherhoodPapersBoycottMontgomery Author:Ella Baker
“We can reorient science - for example, a kind of medicine much more directed toward the enormous number of women's health problems which are neglected now. But the original givens of this science are the same for men and for women. Women simply have to steal the instrument; they don't have to break it, or try, a priori, to make of it something totally different. Steal it and use it for their own good.” MenTryingKindDifferentUseProblemGivenNumbersBreakExampleOriginalsInstrumentsMedicineStealingEnormousNeglectedMen WomenHealth ProblemsWomen's Health Author:Simone de Beauvoir
“Following 25 children for the TV series 'Child of Our Time' has been extraordinary. The BBC's original plan was to commemorate the new millennium. What better way than to film a number of expectant mums from across the U.K.? Coming from widely different backgrounds, all were due to give birth on January 1, 2000.” WayGivingChildrenHas BeensDifferentFilmNumbersPlansTvsBirthOriginalsSeriesExtraordinaryFollowingDuesBackgroundsOur TimeMumBetter WaysJanuaryMillenniumTv SeriesDifferent BackgroundsJanuary 1 Author:Robert Winston
“The number of people displaced by dams is estimated at between 40 million and 80 million, most of them in China and India. The costs of dams were on average 50% above their original estimate. Some designed to reduce flooding made it worse, and there were many unexpected environmental disadvantages, including the extinction of fish and bird species. Half the world's wetlands had been lost because of dams.” PeopleWorldMadeLostWaterNumbersHalfMillionsCostBirdIndiaOriginalsSpeciesEnvironmentalIncludingAverageFishesChinaMade ItUnexpectedExtinctionDisadvantagesBiodiversityDamsFloodingChina And IndiaWetlands Author:Paul Brown
“I think there are a substantial number of scientists who have manipulated data so that they will have dollars rolling into their projects. And I think we are seeing almost weekly or even daily scientists are coming forward and questioning the original idea that man-made global warming is what is causing the climate to change.” ThinkingMenMadeIdeasNumbersSeeingEvolutionProjectsScientistOriginalsDollarsClimateClimate ChangeDataGlobal WarmingQuestioningRollingOriginal Ideas Author:Rick Perry
“The first script was one of six original stories I had written in the form of two trilogies. After the success of Star Wars, I added another trilogy. So now there are nine stories. The original two trilogies were conceived of as six films of which the first film was number four.” FirstsTwoWarStoriesFilmFormStarsNumbersFourWrittenSixOriginalsNineTrilogiesWar MovieStar Wars Movie Author:George Lucas