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The Fractional Derivative, what is it? | Introduction to Fractional Calculus [14:06]

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VCubing X vcubingx math calculus fractional calculus semiderivative cauchy repeated integration derivative integral integration forumla R-L integral R-L riemann Riemann–Liouville semi every the apportioned compartmental compartmented constituent dismembered dispersed divided fragmentary frationary incomplete parceled part piecemeal sectional segmented all entire total bitty disconnected discrete disjointed fractional incoherent partial scattered scrappy sketchy unsystematic complete unbroken whole half bisected even-steven fifty-fifty limited moderate partly unlimited abridged broken crude defective deficient expurgated garbled half-done immature imperfect inadequate insufficient lacking meager rough rude rudimentary short unaccomplished unconsummated under construction undeveloped undone unexecuted unpolished adequate ample enough sufficient accomplished finished perfect light casual digestible faint frivolous frugal gentle hardly any hardly enough inconsequential inconsiderable indistinct insignificant mild minor minuscule minute modest not many not much not rich puny restricted scanty shoestring slight soft sparse superficial thin tiny trifling trivial unimportant unsubstantial weak wee big concentrated great heavy large huge lightest solemn serious grave laborious difficult weighted brunette obscure gloomy dim darkened dark black important harsh wild violent firm bold strong loud thick fat significant dusky brave more numeric arithmetic arithmetical binary differential digital exponent exponential fraction integrated logarithm logarithmic mathematical numeral numerary numerical statistical cognate secondary subordinate acquired ancestral caused coming from connate copied evolved hereditary imitative inferential inferred not original obtained plagiaristic plagiarized procured rehashed secondhand uninventive unoriginal important superior inventive original unique by-product offshoot outgrowth spin-off wave invention root source branch annex arm bureau category chapter classification connection dependency derivative division extension local member office outpost part portion section subdivision subsection subsidiary tributary wing whole company branches annexes arms bureaus categories chapters classifications connections dependencies derivatives divisions extensions locals members offices outposts parts portions sections subdivisions subsections subsidiaries tributaries wings companies wholes artful copycat copying counterfeit deceptive echoic emulative emulous following forged mimetic mimic mimicking mock onomatopoeic parrot pseudo put on reflecting reflective sham simulant different genuine adjunct descendant limb sprout origin aftereffect development effect emergence end end result issue offspring outcome result yield beginning cause commencement foundation parent start simulated artificial assumed factitious fictitious imitated imitation manmade phony synthetic real true addition debut establishment inauguration influx initiation installation launch opening preface presentation admittance awakening baptism beginning commencement essentials exordium foreword hornbook inception induction ingress insertion institution interpolation intro lead lead-in overture preamble preliminaries prelude primer prolegomenon prologue survey basic principles basic text first acquaintance first taste opening remarks pioneering proem close closing conclusion end ending finish completion epilogue access approach avenue connection contact course door entrance entree entry entrée introduction key open arms open door passage path road route way egress outlet act bit curtain gag number piece routine scene schtick show sketch spot turn whole cessation idleness inactivity inertia quiet repose rest stoppage suspension admission acceptance certification confirmation designation permission reception recognition welcome prohibition denial disallowance exclusion expulsion refusal repudiation appearance actualization advent appearing arrival coming display emergence exhibition manifestation materialization presence representation rise showing up turning up unveiling departure exit absence disappearance leaving reality ablution baptismal christening dedication immersion launching lustration purgation purge purification rite of passage ritual sanctification sprinkling alpha basis birth blastoff creation dawn dawning day one genesis infancy kickoff onset opener origin origination outset point of departure root rudiment source spring square one starting point takeoff threshold top death effect finale result termination consummation goal outcome bilestone concretion cystolith biliary calculus gallstone algebra calculation geometry math addition division figures multiplication numbers subtraction trigonometry decrease reduction mathematics calculus analytical numerical scientific algebraic algorithmic arithmetical computative geometrical measurable trigonometric mathematical algebra calculation calculus geometry addition division figures multiplication numbers subtraction trigonometry decrease reduction mathematics math bilestone concretion cystolith biliary calculus gallstone algebra calculation geometry math addition division figures multiplication numbers subtraction trigonometry decrease reduction mathematics calculus apportioned compartmental compartmented constituent dismembered dispersed divided fragmentary frationary incomplete parceled part piecemeal sectional segmented all entire total bitty disconnected discrete disjointed fractional incoherent partial scattered scrappy sketchy unsystematic complete unbroken whole half bisected even-steven fifty-fifty limited moderate partly unlimited abridged broken crude defective deficient expurgated garbled half-done immature imperfect inadequate insufficient lacking meager rough rude rudimentary short unaccomplished unconsummated under construction undeveloped undone unexecuted unpolished adequate ample enough sufficient accomplished finished perfect light casual digestible faint frivolous frugal gentle hardly any hardly enough inconsequential inconsiderable indistinct insignificant mild minor minuscule minute modest not many not much not rich puny restricted scanty shoestring slight soft sparse superficial thin tiny trifling trivial unimportant unsubstantial weak wee big concentrated great heavy large huge lightest solemn serious grave laborious difficult weighted brunette obscure gloomy dim darkened dark black important harsh wild violent firm bold strong loud thick fat significant dusky brave more numeric arithmetic arithmetical binary differential digital exponent exponential fraction integrated logarithm logarithmic mathematical numeral numerary numerical statistical copied duplicated imitated recast reciprocated redone reduplicated refashioned remade replicated reproduced reworked done over echoed paraphrased quoted recapitulated recited rehashed reiterated restated retold reannounced reuttered frequent periodic recurrent recurring habitual perennial infrequent irregular permanent sporadic continual aeonian around-the-clock ceaseless connected consecutive continuous dateless endless enduring eternal everlasting interminable oft-repeated perpetual persistent persisting regular relentless repeated repetitive running staying steady timeless unbroken unceasing unchanging unending unfailing unflagging uninterrupted unremitting unvarying unwaning bounded broken ceasing completed discontinuous ending finished intermittent interrupted occasional stopping terminable transient checked halting inconstant temporary continued day-and-night extended looped no end of no end to on a treadmill prolonged stable undivided unfaltering imbalanced unfixed unstable unsteady wobbly cyclical circular patterned seasonal double as much again bifold binary binate coupled dual dualistic duple duplex duplicate geminate paired second twice twin two times twofold singular single familiar accustomed commonplace conventional customary domestic everyday garden variety homespun household humble informal intimate known matter-of-fact mundane native natural old hat ordinary plain prosaic proverbial recognizable routine simple stock unceremonious unsophisticated usual wonted workaday abnormal alien business different extraordinary foreign industrial original uncommon unusual aloof cold cool distant ignorant new reserved strange unacquainted unapproachable undistinguished unfamiliar unfriendly unknowledgeable unknown unremarkable accepted addicted addicting automatic chronic common confirmed constant cyclic disciplined fixed hardened ingrained inveterate iterated iterative mechanical methodical normal perfunctory practiced reiterative repetitious rooted seasoned set standard systematic traditional rare seldom assimilation alliance amalgamation combination mixture synthesis union disunion division divorce separation coalition affiliation amalgam anschluss bloc coadunation combine compact confederacy confederation conjunction consolidation conspiracy faction federation fusion integration league melding mergence merger merging party ring unification detachment disconnection parting severance disassociation completion accomplishment achievement attainment close conclusion consummation culmination curtains dispatch end expiration finalization finis finish follow through fruition fulfillment hips perfection realization swan song wind-up wrap-up beginning commencement failure start opening unfulfillment anticlimax imperfection concatenation chain connecting continuity interlocking link linking nexus series succession uniting interruption connectedness accordance affinity association compatibility congruence connectivity correspondence kinship relatedness disconnectedness disjunction comparability network embodiment apotheosis archetype avatar cast collection comprehension conformation embracement encompassment epitome example exemplar exemplification expression form formation incarnation inclusion incorporation matter organization personification prosopopoeia quintessence reification structure symbol systematization type disorganization exclusion cognate secondary subordinate acquired ancestral caused coming from connate copied evolved hereditary imitative inferential inferred not original obtained plagiaristic plagiarized procured rehashed secondhand uninventive unoriginal important superior inventive original unique by-product offshoot outgrowth spin-off wave invention root source branch annex arm bureau category chapter classification connection dependency derivative division extension local member office outpost part portion section subdivision subsection subsidiary tributary wing whole company branches annexes arms bureaus categories chapters classifications connections dependencies derivatives divisions extensions locals members offices outposts parts portions sections subdivisions subsections subsidiaries tributaries wings companies wholes artful copycat copying counterfeit deceptive echoic emulative emulous following forged mimetic mimic mimicking mock onomatopoeic parrot pseudo put on reflecting reflective sham simulant different genuine adjunct descendant limb sprout origin aftereffect development effect emergence end end result issue offspring outcome result yield beginning cause commencement foundation parent start simulated artificial assumed factitious fictitious imitated imitation manmade phony synthetic real true elemental essential indispensable intrinsic component constituent fundamental requisite nonessential accessory extrinsic fractional part partial secondary supplemental supplementary unnecessary indivisible aggregate entire full perfect whole choate intact part-and-parcel unbroken undivided broken imperfect incomplete built-in congenital constitutional deep-seated implicit in-built inborn inbred incorporated indwelling ingrained inherent innate inseparable integral acquired learned added extra complementary commutual complemental completing completory conclusive correlative correspondent corresponding crowning equivalent fellow integrative interconnected interdependent interrelated interrelating matched mated paired parallel reciprocal different dissimilar independent unrelated complete all exhaustive faultless full dress gross imperforate integrated lock stock and barrel organic outright plenary replete the works thorough thoroughgoing unabbreviated unabridged uncondensed uncut undiminished undocked unexpurgated unimpaired unitary unreduced whole enchilada whole nine yards whole-hog whole-length defective deficient lacking missing needy short unfinished wanting basic composing part and parcel of part of additional combining constituting division factor forming fraction ingredient portion auxiliary inessential minor unimportant constitutive important key main vital 18-wheeler big rig rig semitrailer trailer truck truck trailer eighteen-wheeler car crate freighter jeep lorry pickup van wagon buggy carryall dump wheels four by eight four by four four-wheel drive truck semi
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