Cosine Series Polynomials¶
Equations 531-539: Cosine Series Bivariate Polynomials¶
x" x scaled 0 to p y" y scaled 0 to p¶
531 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")
532 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")+
gcos(3x")+hcos(2x")cos(y")+icos(x")cos(2y")+jcos(3y")
533 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")+
gcos(3x")+hcos(2x")cos(y")+icos(x")cos(2y")+jcos(3y")+
kcos(4x")+lcos(3x")cos(y")+mcos(2x")cos(2y")+ncos(x")cos(3y")+ocos(4y")
534 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")+
gcos(3x")+hcos(2x")cos(y")+icos(x")cos(2y")+jcos(3y")+
kcos(4x")+lcos(3x")cos(y")+mcos(2x")cos(2y")+ncos(x")cos(3y")+ocos(4y")+
pcos(5x")+qcos(4x")cos(y")+rcos(3x")cos(2y")+scos(2x")cos(3y")+tcos(x")cos(4y")+ucos(5y")
535 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")+
gcos(3x")+hcos(2x")cos(y")+icos(x")cos(2y")+jcos(3y")+
kcos(4x")+lcos(3x")cos(y")+mcos(2x")cos(2y")+ncos(x")cos(3y")+ocos(4y")+
pcos(5x")+qcos(4x")cos(y")+rcos(3x")cos(2y")+scos(2x")cos(3y")+tcos(x")cos(4y")+ucos(5y")+
vcos(6x")+aacos(5x")cos(y")+abcos(4x")cos(2y")+accos(3x")cos(3y")+adcos(2x")cos(4y")+aecos(x")+cos(5y")+
afcos(6y")
536 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")+
gcos(3x")+hcos(2x")cos(y")+icos(x")cos(2y")+jcos(3y")+
kcos(4x")+lcos(3x")cos(y")+mcos(2x")cos(2y")+ncos(x")cos(3y")+ocos(4y")+
pcos(5x")+qcos(4x")cos(y")+rcos(3x")cos(2y")+scos(2x")cos(3y")+tcos(x")cos(4y")+ucos(5y")+
vcos(6x")+aacos(5x")cos(y")+abcos(4x")cos(2y")+accos(3x")cos(3y")+adcos(2x")cos(4y")+aecos(x")+cos(5y")+
afcos(6y")+
agcos(7x")+ahcos(6x")cos(y")+aicos(5x")cos(2y")+ajcos(4x")cos(3y")+akcos(3x")cos(4y")+alcos(2x")cos(5y")+
amcos(x")cos(6y")+ancos(7y")
537 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")+
gcos(3x")+hcos(2x")cos(y")+icos(x")cos(2y")+jcos(3y")+
kcos(4x")+lcos(3x")cos(y")+mcos(2x")cos(2y")+ncos(x")cos(3y")+ocos(4y")+
pcos(5x")+qcos(4x")cos(y")+rcos(3x")cos(2y")+scos(2x")cos(3y")+tcos(x")cos(4y")+ucos(5y")+
vcos(6x")+aacos(5x")cos(y")+abcos(4x")cos(2y")+accos(3x")cos(3y")+adcos(2x")cos(4y")+aecos(x")+cos(5y")+
afcos(6y")+
agcos(7x")+ahcos(6x")cos(y")+aicos(5x")cos(2y")+ajcos(4x")cos(3y")+akcos(3x")cos(4y")+alcos(2x")cos(5y")+
amcos(x")cos(6y")+ancos(7y")+
aocos(8x")+apcos(7x")cos(y")+aqcos(6x")cos(2y")+arcos(5x")cos(3y")+ascos(4x")cos(4y")+atcos(3x")cos(5y")+
aucos(2x")cos(6y")+avcos(x")cos(7y")+bacos(8y")
538 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")+
gcos(3x")+hcos(2x")cos(y")+icos(x")cos(2y")+jcos(3y")+
kcos(4x")+lcos(3x")cos(y")+mcos(2x")cos(2y")+ncos(x")cos(3y")+ocos(4y")+
pcos(5x")+qcos(4x")cos(y")+rcos(3x")cos(2y")+scos(2x")cos(3y")+tcos(x")cos(4y")+ucos(5y")+
vcos(6x")+aacos(5x")cos(y")+abcos(4x")cos(2y")+accos(3x")cos(3y")+adcos(2x")cos(4y")+aecos(x")+cos(5y")+
afcos(6y")+
agcos(7x")+ahcos(6x")cos(y")+aicos(5x")cos(2y")+ajcos(4x")cos(3y")+akcos(3x")cos(4y")+alcos(2x")cos(5y")+
amcos(x")cos(6y")+ancos(7y")+
aocos(8x")+apcos(7x")cos(y")+aqcos(6x")cos(2y")+arcos(5x")cos(3y")+ascos(4x")cos(4y")+atcos(3x")cos(5y")+
aucos(2x")cos(6y")+avcos(x")cos(7y")+bacos(8y")+
bbcos(9x")+bccos(8x")cos(y")+bdcos(7x")cos(2y")+becos(6x")cos(3y")+bfcos(5x")cos(4y")+bgcos(4x")cos(5y")+
bhcos(3x")cos(6y")+bicos(2x")cos(7y")+bjcos(x")cos(8y")+bkcos(9y")
539 z=a+bcos(x")+ccos(y")+dcos(2x")+ecos(x")cos(y")+fcos(2y")+
gcos(3x")+hcos(2x")cos(y")+icos(x")cos(2y")+jcos(3y")+
kcos(4x")+lcos(3x")cos(y")+mcos(2x")cos(2y")+ncos(x")cos(3y")+ocos(4y")+
pcos(5x")+qcos(4x")cos(y")+rcos(3x")cos(2y")+scos(2x")cos(3y")+tcos(x")cos(4y")+ucos(5y")+
vcos(6x")+aacos(5x")cos(y")+abcos(4x")cos(2y")+accos(3x")cos(3y")+adcos(2x")cos(4y")+aecos(x")+cos(5y")+
afcos(6y")+
agcos(7x")+ahcos(6x")cos(y")+aicos(5x")cos(2y")+ajcos(4x")cos(3y")+akcos(3x")cos(4y")+alcos(2x")cos(5y")+
amcos(x")cos(6y")+ancos(7y")+
aocos(8x")+apcos(7x")cos(y")+aqcos(6x")cos(2y")+arcos(5x")cos(3y")+ascos(4x")cos(4y")+atcos(3x")cos(5y")+
aucos(2x")cos(6y")+avcos(x")cos(7y")+bacos(8y")+
bbcos(9x")+bccos(8x")cos(y")+bdcos(7x")cos(2y")+becos(6x")cos(3y")+bfcos(5x")cos(4y")+bgcos(4x")cos(5y")+
bhcos(3x")cos(6y")+bicos(2x")cos(7y")+bjcos(x")cos(8y")+bkcos(9y")+
blcos(10x")+bmcos(9x")cos(y")+bncos(8x")cos(2y")+bocos(7x")cos(3y")+bpcos(6x")cos(4y")+bqcos(5x")cos(5y")+
brcos(4x")cos(6y")+bscos(3x")cos(7y")+btcos(2x")cos(8y")+bucos(x")cos(9y")+bvcos(10y")