Divergent series

GPTKB entity

Statements (137)
Predicate Object
gptkbp:instance_of gptkb:series
gptkb:television_series
gptkb:book_series
gptkbp:adaptation gptkb:television_adaptation
gptkbp:adapted_into gptkb:film_series
gptkbp:author gptkb:Veronica_Roth
gptkbp:based_on Divergent novel series
gptkbp:can_be_summed using Abel summation
using Cesàro summation
using analytic continuation
using regularization techniques
gptkbp:cast_member gptkb:Dacre_Montgomery
gptkb:Lana_Condor
gptkb:Maisie_Williams
gptkb:Jaden_Smith
gptkb:Sophie_Turner
gptkb:Kali_Uchis
gptkb:Suki_Waterhouse
gptkb:Christian_Serratos
gptkb:Ben_Lloyd-Hughes
gptkb:Caleb_Mc_Laughlin
gptkb:Cara_Buono
gptkb:Katherine_Mc_Namara
gptkb:Octavia_Spencer
gptkb:Priah_Ferguson
gptkb:Sadie_Elizabeth_Sink
gptkb:Jai_Courtney
gptkb:Daisy_Ridley
gptkb:Gaten_Matarazzo
gptkb:Kiersey_Clemons
gptkb:Brett_Gelman
gptkb:Winona_Ryder
gptkb:Finn_Wolfhard
gptkb:Kate_Winslet
gptkb:Maya_Hawke
gptkb:Miles_Teller
gptkb:Noah_Schnapp
gptkb:Paul_Reiser
gptkb:Charlie_Heaton
gptkb:Sean_Astin
gptkb:Victoria_Justice
gptkb:Kai_Greene
gptkb:Mekhi_Phifer
gptkb:David_Harbour
gptkb:Dylan_Minnette
gptkb:Millie_Bobby_Brown
gptkb:Ray_Stevenson
gptkb:Ansel_Elgort
gptkb:Katherine_Langford
gptkb:Natalia_Dyer
gptkb:Jonny_Weston
gptkb:Theo_James
gptkb:Caitlin_Stasey
gptkb:Daniel_Dae_Kim
gptkb:Matthew_Modine
gptkb:Shailene_Woodley
gptkb:Gabrielle_Maiden
gptkb:Maggie_Q
gptkb:Ashley_Judd
gptkb:Kaya_Scodelario
gptkb:Zoe_Isabella_Kravitz
gptkb:Tori_Wu
gptkb:Lily_Jane_Collins
gptkbp:characteristic can diverge absolutely
can diverge conditionally
can diverge to negative infinity
can diverge to positive infinity
does not have a finite sum
may oscillate between values
gptkbp:created_by gptkb:Robert_Schwentke
gptkbp:defines a series that does not converge to a limit
gptkbp:example 1 + 1 + 1 + ...
1 + 2 + 3 + ...
1 -1 + 1 -1 + ...
1/n (n=1 to infinity) where n is not bounded
gptkbp:features Faction system
gptkbp:film_editing gptkb:Allegiant_(film)
gptkb:Divergent_(film)
gptkb:Insurgent_(film)
gptkbp:finale_date April 21, 2016
gptkbp:first_aired gptkb:2014
gptkbp:first_published gptkb:2011
gptkbp:follows Dystopian society
gptkbp:genre gptkb:action
gptkb:science_fiction
gptkb:adventure
young adult fiction
https://www.w3.org/2000/01/rdf-schema#label Divergent series
gptkbp:importance in number theory
in calculus
in theoretical physics
in functional analysis
gptkbp:is_studied_in in advanced mathematics courses
in complex analysis
in functional analysis
in real analysis
gptkbp:language English
gptkbp:last_aired gptkb:2016
gptkbp:main_character gptkb:Tris_Prior
gptkb:Four
gptkb:Beatrice_Prior
gptkbp:network gptkb:Starz
gptkbp:number_of_episodes gptkb:4
gptkbp:number_of_seasons gptkb:1
gptkbp:premiered_on April 4, 2014
gptkbp:production_company gptkb:Lionsgate_Television
gptkbp:related_concept gptkb:series
power series
Taylor series
Dirichlet series
Laurent series
Cauchy criterion
ratio test
root test
comparison test
integral test
zeta function regularization
series convergence tests
Borel summation
alternating series test
divergent sequences
generalized series
series acceleration methods
summability theory
gptkbp:related_to gptkb:Allegiant_(film)
gptkb:Divergent_(film)
gptkb:Insurgent_(film)
infinity
mathematical analysis
convergence
gptkbp:sequel gptkb:Allegiant
gptkb:militant_group
gptkbp:set_in dystopian future
Post-apocalyptic Chicago
gptkbp:bfsParent gptkb:Veronica_Roth
gptkb:militant_group
gptkbp:bfsLayer 4