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????(????)????-Weierstrass\ ????(????)????-Weierstrass's elliptic functions (graph)
Posted by: kojocho2

Video duration: 397 seconds

???????????????????? ?Weierstrass?????(P- fucntions)(????)???? ?????????????????Ble nder???????nDDiplay? ???Music by:???????(
http://karugamo.6 615.net/)

Related: 4d, complex, function, graph, math

z^?????(?????)-z^? graph- (riemann surface) z^?????(?????)-z^? graph- (riemann surface)
Posted by: kojocho2

Video duration: 320 seconds

???????????????????? z^?(??Q:???)???????? ???????????????????? ?????Blender???????n DDiplay????Music by:???????(http://ka rugamo.6615.net/)

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S^N?N????-hypersphere S^N?N????-hypersphere
Posted by: kojocho2

Video duration: 346 seconds

N+1??????????????N?? ??S^N????????????N=2 ,3,4???????????????? ??????????????????? ?Blender???????nDDip lay????Music by:???????(http://ka rugamo.6615.net/)

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??????(??1/z^n)????-pole(1/z^n) graph ??????(??1/z^n)????-pole(1/z^n) graph
Posted by: kojocho2

Video duration: 331 seconds

???????????????????? ???????????1/z^n???? ???????????????????? ???????????????????? ??????????Blender??? ????nDDiplay????Musi c by:Fra's Forum(http://francoi s.parfait.ne.jp/)

Related: 4d, cg, complex, function, graph, math

S1xS1 ?????(topological manifold) S1xS1 ?????(topological manifold)
Posted by: kojocho2

Video duration: 330 seconds

4??????????????S1xS1 ?2?????????????????? ??????????????f1(x1, x2)=x1^2+x2^2-8=0,f2 (x3,x4)=x3^2+x4^2-8= 0???????????(Python? random?????)?????(x1 ,x2,x3,x4)?f1,f2???? |f1|,|f2|???????f??? ???????????????S1xS1 ??????????(x1,x2,x3, x4)=(cos?,sin?,cos?, sin?)??????????????? ????:Blender,Music by :Fra's Forum(http://francoi s.parfait.ne.jp/)

Related: 4d, cg, graph, manifold, math

SL(2,R) ????? special linear group-ver.3 SL(2,R) ????? special linear group-ver.3
Posted by: kojocho2

Video duration: 513 seconds

4??????????????SL(2, R)???????????ver.3?v er.2???????????????? ????????f(x1,x2,x3,x 4)=x1x4-x3x2-1=0???? ???????Python?random ?????)?????(x1,x2,x3 ,x4)?f????|f|??????? f??????????????????S L(2,R)????????ver.2? ?Blender???????????? ??????NDisplay?????? ??Music by???????

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????????? - P^2 embedding into R^4 ????????? - P^2 embedding into R^4
Posted by: kojocho2

Video duration: 357 seconds

????(projective plane)?????????????? ???????????????????? ???????(??)?Wiki???? ?????????????:NDispl ay?Music by???????????????MID I(http://kaion.real- sound.net/)

Related: 4d, cg, graph, manifold, math

???????? -log(z) graph ???????? -log(z) graph
Posted by: kojocho2

Video duration: 256 seconds

???????????????????? log(z)?????????????? ?????? ???NDisplay????Music by:?????

Related: 4d, cg, complex, function, graph, math

SL(2,R) ????? special linear group-ver.2 SL(2,R) ????? special linear group-ver.2
Posted by: kojocho2

Video duration: 239 seconds

4??????????????SL(2, R)??????????ver.2?ve r.1????????????????? ????f(x1,x2,x3,x4)=x 1x4-x3x2-1=0???????? ???Python?random???? ?)?????(x1,x2,x3,x4) ?f????|f|???????f??? ???????????????SL(2, R)
??????

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????????-exp(z) graph ????????-exp(z) graph
Posted by: kojocho2

Video duration: 211 seconds

???????????????????? exp????????????????? ????Blender???????nD Diplay????Music by:TAM Music Factory???

Related: 4d, cg, complex, function, math

???exp(z)=?z^n/n!??????-convergence(power series) ???exp(z)=?z^n/n!??????-convergence(power series)
Posted by: kojocho2

Video duration: 228 seconds

????exp(z)????????z^ n/n!???????????????? ???????????????S_N(z )?????N????????????? ?????????z^n/n!????? ?????Blender???????n DDiplay????Music by:Fra's Forum(http://francoi s.parfait.ne.jp/)

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????????? in R^3 ????????? in R^3
Posted by: kojocho2

Video duration: 156 seconds

???????????????????? ????(????????)?3???? ???????????????????? ?(???C^??)??f:R^3?R( ????R^3??????????)?0 ???????????????????? ????(x,y,z)?f????|f| ???????f???????????? ???????????????????? ???????2??C^???????? ????????????:NDispla y?Music by???????

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????????-sin(z) graph ????????-sin(z) graph
Posted by: kojocho2

Video duration: 186 seconds

???????????????????? sin????????????????? ?????????cos,sinh,co sh????????????Blende r???????nDDiplay???? Music by:TAM Music Factory

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SL(2,R) ????? special linear group-ver.1 SL(2,R) ????? special linear group-ver.1
Posted by: kojocho2

Video duration: 230 seconds

4??????????????SL(2, R)?????????????f(x1, x2,x3,x4)=x1x4-x3x2- 1=0???????????(Pytho n?random?????)?????( x1,x2,x3,x4)?f????|f |???????f??????????? ???????SL(2,R)??????

Related: 4d, cg, graph, manifold, math