Fourier Series Polynomials¶
Equations 501-510: Fourier Series Simple Polynomials¶
x" x scaled 0 to p y" y scaled 0 to p¶
501 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")
502 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")
503 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")+
jcos(3x")+ksin(3x")+lcos(3y")+msin(3y")
504 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")+
jcos(3x")+ksin(3x")+lcos(3y")+msin(3y")+ncos(4x")+osin(4x")+pcos(4y")+qsin(4y")
505 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")+
jcos(3x")+ksin(3x")+lcos(3y")+msin(3y")+ncos(4x")+osin(4x")+pcos(4y")+qsin(4y")+
rcos(5x")+ssin(5x")+tcos(5y")+usin(5y")
506 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")+
jcos(3x")+ksin(3x")+lcos(3y")+msin(3y")+ncos(4x")+osin(4x")+pcos(4y")+qsin(4y")+
rcos(5x")+ssin(5x")+tcos(5y")+usin(5y")+vcos(6x")+aasin(6x")+abcos(6y")+acsin(6y")
507 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")+
jcos(3x")+ksin(3x")+lcos(3y")+msin(3y")+ncos(4x")+osin(4x")+pcos(4y")+qsin(4y")+
rcos(5x")+ssin(5x")+tcos(5y")+usin(5y")+vcos(6x")+aasin(6x")+abcos(6y")+acsin(6y")+
adcos(7x")+aesin(7x")+afcos(7y")+agsin(7y")
508 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")+
jcos(3x")+ksin(3x")+lcos(3y")+msin(3y")+ncos(4x")+osin(4x")+pcos(4y")+qsin(4y")+
rcos(5x")+ssin(5x")+tcos(5y")+usin(5y")+vcos(6x")+aasin(6x")+abcos(6y")+acsin(6y")+
adcos(7x")+aesin(7x")+afcos(7y")+agsin(7y")+ahcos(8x")+aisin(8x")+ajcos(8y")+aksin(8y")
509 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")+
jcos(3x")+ksin(3x")+lcos(3y")+msin(3y")+ncos(4x")+osin(4x")+pcos(4y")+qsin(4y")+
rcos(5x")+ssin(5x")+tcos(5y")+usin(5y")+vcos(6x")+aasin(6x")+abcos(6y")+acsin(6y")+
adcos(7x")+aesin(7x")+afcos(7y")+agsin(7y")+ahcos(8x")+aisin(8x")+ajcos(8y")+aksin(8y")+
alcos(9x")+amsin(9x")+ancos(9y")+aosin(9y")
510 z=a+bcos(x")+csin(x")+dcos(y")+esin(y")+fcos(2x")+gsin(2x")+hcos(2y")+isin(2y")+
jcos(3x")+ksin(3x")+lcos(3y")+msin(3y")+ncos(4x")+osin(4x")+pcos(4y")+qsin(4y")+
rcos(5x")+ssin(5x")+tcos(5y")+usin(5y")+vcos(6x")+aasin(6x")+abcos(6y")+acsin(6y")+
adcos(7x")+aesin(7x")+afcos(7y")+agsin(7y")+ahcos(8x")+aisin(8x")+ajcos(8y")+aksin(8y")+
alcos(9x")+amsin(9x")+ancos(9y")+aosin(9y")+apcos(10x")+aqsin(10x")+arcos(10y")+assin(10y")
Equations 521-524: Fourier Series Bivariate Polynomials¶
x" x scaled 0 to p y" y scaled 0 to p¶
521 z=a+bcos(x")+ccos(y")+dsin(x")+esin(y")+fcos(2x")+gcos(2y")+hsin(2x")+isin(2y")+
jcos(x")cos(y")+kcos(x")sin(y")+lsin(x")cos(y")+msin(x")sin(y")
522 z=a+bcos(x")+ccos(y")+dsin(x")+esin(y")+fcos(2x")+gcos(2y")+hsin(2x")+isin(2y")+
jcos(3x")+kcos(3y")+lsin(3x")+msin(3y")+
ncos(x")cos(y")+ocos(x")sin(y")+psin(x")cos(y")+qcos(x")cos(2y")+
rcos(2x")cos(y")+scos(x")sin(2y")+tsin(2x")cos(y")+usin(x")sin(y")+
vsin(x")cos(2y")+aacos(2x")sin(y")+absin(x")sin(2y")+acsin(2x")sin(y")
523 z=a+bcos(x")+ccos(y")+dsin(x")+esin(y")+fcos(2x")+gcos(2y")+hsin(2x")+isin(2y")+
jcos(3x")+kcos(3y")+lsin(3x")+msin(3y")+ncos(4x")+ocos(4y")+psin(4x")+qsin(4y")+
rcos(x")cos(y")+scos(x")sin(y")+tsin(x")cos(y")+ucos(x")cos(2y")+
vcos(2x")cos(y")+aacos(x")sin(2y")+absin(2x")cos(y")+accos(x")cos(3y")+
adcos(3x")cos(y")+aecos(x")sin(3y")+afsin(3x")cos(y")+agsin(x")sin(y")+
ahsin(x")cos(2y")+aicos(2x")sin(y")+ajsin(x")sin(2y")+aksin(2x")sin(y")+
alsin(x")cos(3y")+amcos(3x")sin(y")+ansin(x")sin(3y")+aosin(3x")sin(y")+
apcos(2x")cos(2y")+aqcos(2x")sin(2y")+arsin(2x")cos(2y")+assin(2x")sin(2y")
524 z=a+bcos(x")+ccos(y")+dsin(x")+esin(y")+fcos(2x")+gcos(2y")+hsin(2x")+isin(2y")+
jcos(3x")+kcos(3y")+lsin(3x")+msin(3y")+ncos(4x")+ocos(4y")+psin(4x")+qsin(4y")+
rcos(5x")+scos(5y")+tsin(5x")+usin(5y")+
vcos(x")cos(y")+aacos(x")sin(y")+absin(x")cos(y")+accos(x")cos(2y")+
adcos(2x")cos(y")+aecos(x")sin(2y")+afsin(3x")cos(y")+agcos(x")cos(3y")+
ahcos(3x")cos(y")+aicos(x")sin(3y")+ajsin(3x")cos(y")+akcos(x")cos(4y")+
alcos(4x")cos(y")+amcos(x")sin(4y")+ansin(4x")cos(y")+aosin(x")sin(y")+
apsin(x")cos(2y")+aqcos(2x")sin(y")+arsin(x")sin(2y")+assin(2x")sin(y")+
atsin(x")cos(3y")+aucos(3x")sin(y")+avsin(x")sin(3y")+basin(3x")sin(y")+
bbsin(x")cos(4y")+bccos(4x")sin(y")+bdsin(x")sin(4y")+besin(4x")sin(y")+
bfcos(2x")cos(2y")+bgcos(2x")sin(2y")+bhsin(2x")cos(2y")+bicos(2x")cos(3y")+
bjcos(3x")cos(2y")+bkcos(2x")sin(3y")+blsin(3x")cos(2y")+bmsin(2x")sin(2y")+
bnsin(2x")cos(3y")+bocos(3x")sin(2y")+bpsin(2x")sin(3y")+bqsin(3x")sin(2y")