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Function Quotes

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Function Quotes

“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
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“No other serial publications carry a number on them that is of any weight to their readership. The number is there to serve a function, but it has no intrinsic value in and of itself. It's comfort food and nostalgia at best. On this, we follow what you and your fellow readers do more than what you say. We hear complaints about renumbering every time we do it, but every time we do it it results in higher sales, which is the whole ballgame - so if it were your time and your effort, what would you do?”

IfsBookWholeValuesResultsNumbersEffortReaderHigherComfortWeightFunctionFellowsNostalgiaComicComic BookComplaintsPublicationSerialsReadershipIntrinsic ValueComfort FoodBallgame
Author:Tom Brevoort
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“There are many occasions when the muscles that form the lips of the mouth move the lateral muscles that are joined to them, and there are an equal number of occasions when these lateral muscles move the lips of this mouth, replacing it where it cannot return of itself, because the function of muscle is to pull and not to push except in the case of the genitals and the tongue.”

MovingFormNumbersCasesReturnEqualMouthsFunctionLipsTongueOccasionsMuscles
Author:Leonardo da Vinci
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“When Western people train the mind, the focus is generally on the left hemisphere of the cortex, which is the portion of the brainthat is concerned with words and numbers. We enhance the logical, bounded, linear functions of the mind. In the East, exercises of this sort are for the purpose of getting in tune with the unconscious--to get rid of boundaries, not to create them.”

PeopleMindPurposeLeftNumbersFocusExerciseConcernedFunctionTrainWesternEastBoundariesUnconsciousTunesLogicalPortionsLinearHemisphere
Author:Edward T. Hall
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“... each of the 24 modes in the Ramanujan function corresponds to a physical vibration of a string. Whenever the string executes its complex motions in space-time by splitting and recombining, a large number of highly sophisticated mathematical identities must be satisfied. These are precisely the mathematical identities discovered by Ramanujan.”

SpaceNumbersIdentityFunctionComplexesSatisfiedMathematicalStringsSophisticatedVibrationsLarge NumbersSplittingSpace TimeRamanujan
Book:Hyperspace: A Scientific Odyssey through Parallel Universes, Time Warps, and the Tenth Dimension
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“Since the idea that modification of synaptic function can provide a basis for memory arose shortly after the first anatomical description of the synapse a number of models (Hebb 1949 . . Hayek 1952 . . Kendel 1981) have been proposed in which various cognitive activities are represented by combinations of the firing patterns of individual neurons.”

FirstsHas BeensIdeasIndividualMemoriesNumbersActivityModelsFunctionBasesPatternsVariousCombinationDescriptionCognitiveFiringNeuronsModificationHayek
Author:Gerald Edelman
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“My belief is that there will be very large numbers of Internet-enabled devices on the Net - home appliances, office equipment, things in the car and maybe things that you carry around. And since they're all on the Internet and Internet-enabled, they'll be manageable through the network, and so we'll see people using the Net and applications on the Net to manage their entertainment systems, manage their, you know, office activities and maybe even much of their social lives using systems on the Net that are helping them perform that function.”

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Author:Vinton Cerf
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“Printing and transporting paper is very expensive, and e-books eliminate the expensive four-color printing, the higher quality paper, the ocean shipping, the customs clearance, the inventory, answering the telephone, writing up the orders, picking, packing and shipping and managing all of these functions. So we eliminate a huge number of costs and the chance that those books won't sell.”

WritingBookOrderChanceNumbersQualityFourColorHugeHigherCostPaperOceanFunctionSellsExpensiveCustomsTelephonesPrintingPackingInventoryShippingHuge NumbersClearance
Author:Dan Poynter
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“Evidence indicates that cats were first tamed in Egypt. The Egyptians stored grain, which attracted rodents, which attracted cats. (No evidence that such a thing happened with the Mayans, though a number of wild cats are native to the area.) I don't think this is accurate. It is certainly not the whole story. Cats didn't start as mousers. Weasels and snakes and dogs are more efficient as rodent-control agents. I postulate that cats started as psychic companions, as Familiars, and have never deviated from this function.”

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Author:William S. Burroughs
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“Modern capitalism needs men who cooperate smoothly and in large numbers; who want to consume more and more; and whose tastes are standardized and can be easily influenced and anticipated. It needs men who feel free and independent, not subject to any authority or principle or conscience-- yet willing to be commanded, to do what is expected of them, to fit into the social machine without friction; who can be guided without force, led without leaders, prompted without aim-- except the one to make good, to be on the move, to function, to go ahead.”

MenWantNeedsFeelsMovingForceSocialNumbersLeaderPrinciplesModernSubjectsWillingFitTasteAuthorityConscienceCapitalismMachinesFunctionAimIndependentExpectedLarge NumbersFrictionEasily Influenced
Author:Erich Fromm
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“I wish that one would be persuaded that psychological experiments, especially those on the complex functions, are not improved [by large studies]; the statistical method gives only mediocre results; some recent examples demonstrate that. The American authors, who love to do things big, often publish experiments that have been conducted on hundreds and thousands of people; they instinctively obey the prejudice that the persuasiveness of a work is proportional to the number of observations. This is only an illusion.”

PeopleGivingHas BeensBigsWould BeScienceWishResultsNumbersStudyExampleIllusionFunctionPrejudiceMethodComplexesExperimentsPsychologicalObservationMediocrePublishAmerican Author
Author:Alfred Binet
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“A colleague saw the same model-calibrating the elasticity of demand facing a Cournot oligopolist as a function of the number of firms in the industry--described at the University of Chicago and at M.I.T. A Chicago economist derived the formula and said, "Look at how few firms you need to get close to infinite elasticities and perfect competition." An M.I.T. economist derived the same formula and said, "Look at how large n has to be before you get anywhere close to an infinite elasticity and perfect competition."”

NeedsLooksSaidPerfectNumbersSawsIndustryDemandModelsEconomicsFunctionInfiniteCompetitionUniversityFirmChicagoFormulasColleaguesEconomistElasticityPerfect Competition
Author:Matthew Rabin
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