These are the functions used in the various Calc-50 Example pages.

They are in the plain text form that Calc-50 produces when the copy
command is used to export function definitions.

Copy them here for a given example page and paste them into Calc-50
if you want to do those examples without having to enter the function
definitions by hand.



         Fourier series

f1: 1,sto,2,rcl,*,sin,1,rcl,/
f2: 2,sto,1,0,rcl,2,1,sum,4,*,pi,/
f3: sin,.9,*,floor,2,*,1,+



         Infinite sums

f0: 0,sto,5,rcl,xch,y^x,0,rcl,x!,/
f1: ent,*
f2: 1/x,sqr
f3: 3,sto,2,*,1,+,sqr,1/x,3,rcl,-1,xch,y^x,*
f4: 4,sto,ln,1/x,4,rcl,-1,xch,y^x,*
f5: 5,sto,0,e+5,1,0,sum
f6: 6,sto,sqr,2,+,6,rcl,4,y^x,3,*,6,rcl,+,1,+,/
f7: 7,sto,3,y^x,1250,*,7,rcl,sqr,2000,*,+,7,rcl,1000,*,+,154,+,
    7,rcl,5,*,7,sto,1,+,/,7,rcl,2,+,/,7,rcl,3,+,/,7,rcl,4,+,/,7,rcl,5,+,/
f8: 1,sto,2,*,1,+,sqr,1,rcl,4,xch,y^x,*,1/x,1,rcl,2,*,1,rcl,comb,*
f9: 50,5,sto,xch,0,f,log

    Later, functions 7, 9 are re-defined.

f7: 1,sto,0,9998,8,select
f9: 1,rcl,8,*,1/x,ent,ent,ent,ent,-34429291905,*,1024,/,8400372435,
    256,/,+,*,59697183,256,/,+,*,28717403,128,/,-,*,334477,128,/,-,
    *,39325,16,/,+,*,869,16,/,+,*,399,8,/,-,*,21,8,/,-,
    *,2.5,+,*,.5,+,*,1,-,*,1,+,1,rcl,2,*,1,+,sqr,/,1,rcl,pi,*,sqrt,/



         Euler-MacLauren formula

f1: 1,sto,sqrt,sin,1,rcl,/
f2: 2,sto,100,+,pi,*,sqr,2,rcl,101,+,pi,*,sqr,1,igr
f3: 2,*,3,sto,1,-,e+5,xch,1,fpn,3,rcl,brn,*,3,rcl,x!,/



         Arctan sum

f1: sqr,1/x,2,*,atan
f2: 1,xch,/,ent,ent,ent,9,7,/,*,4,3,/,-,*,3,5,/,+,*,*,1,3,/,-,*,1,
    +,*,2,-,*,3,pi,*,4,/,+



         Experimental math

f1: 1,sto,0,pi,2,/,2,igr
f2: 2,sto,cos,1,rcl,*,erf,2,rcl,sin,1,rcl,*,erf,*,2,rcl,2,*,sin,*
f3: 3,sto,0,xch,1,fpn,3,rcl,x!,/



         Nested radicals

f1: 1,rcl,chs,3,+,sqrt,sqrt,chs,7,-,3,f,6,+,sqrt,1,sto
f3: chs,1,3,/,y^x,chs
f4: 1,rcl,2,rcl,3,rcl,/,y^x
f5: 2,rcl,3,rcl,gcd,4,sto,2,rcl,4,rcl,/,2,sto,3,rcl,4,rcl,/,3,sto,6,f
f6: 3,rcl,2,mod,0,0,7,select
f7: -1,sqrt
f8: 1,rcl,chs,2,rcl,3,rcl,/,y^x,chs

    Later, function 3 is re-defined.

f3: 3,sto,roll,2,sto,roll,1,sto,0,e+99,exp,4,select



         Extrapolation

f1: 1,sto,2,*,1,+,sqr,1,rcl,4,xch,y^x,*,1/x,1,rcl,2,*,1,rcl,comb,*
f2: sqr,2,sto,1,-,1/x,2,rcl,*,2,rcl,1,-,y^x,1,exp,/
f3: 3,sto,1,xch,1,4,sum,3,rcl,ln,-
f4: 1/x
f5: 5,sto,3,rcl,1,-,5,rcl,y^x,5,rcl,/,-1,5,rcl,1,+,y^x,*
f6: 6,sto,1,xch,1,7,sum,6,rcl,/,sqr
f7: 1,xch,/
f8: 1,sto,sqr,1,rcl,2,*,-,1,-,1,rcl,comb,1,rcl,ent,*,1,rcl,comb,/



         Prime sum

f1: factor,xch,/,floor
f2: 2,xch,1,1,sum
f3: 1,sto,sqr,1/x,1,rcl,factor,xch,/,floor,*
f4: 2,xch,1,3,sum
f5: sqr,1/x



         Gauss quadrature

f1: 1,sto,0,rcl,1,rcl,comb,sqr,2,rcl,1,-,0,rcl,1,rcl,-,y^x,*,2,rcl,1,+,1,rcl,y^x,*
f2: 2,sto,0,0,rcl,1,1,sum,2,0,rcl,y^x,/
f3: 10,+,3,sto,rcl,2,fp,sqr,3,rcl,rcl,sqr,chs,1,+,*,1/x,2,*
f4: exp
f5: 5,sto,10,+,rcl,4,f,5,rcl,20,+,rcl,*




         Integral equation

f1: 1,sto,sin,1,rcl,cos,+,exp
f2: 0,xch,1,igr,5,-



         Differential equation

f0: 0,rcl,chs
f1: 11,sto,2,xch,.02,-,11,rcl,0,ode,11,rcl,50,*,20,+,sto
f2: 50,*,20,+,rcl
f3: 1,0,sto,0,1,sto,1,20,sto,.02,1,.02,1,sum,0,1,.02,2
f4: 14,sto,2,f,14,rcl,cos,-



         Boundary value problem

f0: 0,rcl,chs
f1: 1,sto,1,0,sto,2,0,1,0,ode,.3,-



         Asymptotics

f1: sqrt
f2: 2,sto,4,*,3,-,2,rcl,sqrt,*,2,rcl,4,*,1,-,2,rcl,1,-,sqrt,*,+,1/x,6,/,chs
f3: 3,sto,2,*,3,/,.5,+,3,rcl,24,*,1/x,+,3,rcl,3,y^x,1920,*,1/x,-,3,rcl,5,y^x,
    9216,*,1/x,+,3,rcl,7,y^x,163840,*,1/x,11,*,-,3,rcl,sqrt,*,0,rcl,+
f4: 4,sto,10,sci,1,xch,1,1,sum,41,sto,4,rcl,3,f,42,sto,41,rcl,-,41,rcl,/,abs



         Double sum

f1: 1,sto,3,y^x,2,rcl,sqr,+,1/x,1,rcl,sqr,2,rcl,3,y^x,+,1/x,+,2,/
f2: 2,sto,1,xch,1,-,1,1,sum,2,*,3,sto,2,rcl,1,f,3,rcl,+
f3: 3,sto,1.5,y^x,pi,*,tanh,1/x,3,rcl,1.5,y^x,*,pi,*,1,-,3,rcl,3,y^x,2,*,/



         Prime counting

f1: 2,sto,-1,0,sto,roll,factor,1,sto,1,10,1,2,sum,0,rcl
f2: 2,rcl,1,rcl,/,2,sto,1,1,3,select
f3: 1,1,sto,2,sto
f4: 2,rcl,factor,3,sto,1,rcl,1,rcl,5,select
f5: 0,0,sto
f6: 3,rcl,1,sto,0,rcl,chs,0,sto
f7: 7,sto,xch,2,xch,1,8,sum,7,rcl,li,+
f8: 8,sto,1,f,8,rcl,/,7,rcl,8,rcl,1/x,y^x,li,*
f9: 9,sto,1000,xch,7,f,nint,9,rcl,li,nint,9,rcl,ent,ln,/,nint,0,fix



         Oscillating integrals

f1: 1,sto,ln,1,rcl,/,cos,1,rcl,/
f2: 2,sto,ln,2,rcl,*,cos,2,rcl,/
f3: 3,sto,ln,3,rcl,*,10,rcl,2,*,1,-,pi,*,2,/,-
f4: 0,0,5,select
f5: 1
f6: 10,sto,3,solve
f7: 7,sto,4,f,17,sto,7,rcl,1,+,4,f,17,rcl,xch,2,igr
f8: 8,sto,sin,8,rcl,2,*,sin,*,8,rcl,sqr,/
f9: 9,sto,1,-,pi,*,2,/,9,rcl,pi,*,2,/,8,igr
f0: 0,sto,1,-,pi,*,0,rcl,pi,*,8,igr



         Complex sum

f1: 2,zsto,0,zrcl,zxch,zy^x,2,rcl,x!,z/,11,zrcl,z+,11,zsto
f2: 0,zsto,zroll,4,zsto,0,11,zsto,0,4,rcl,1,1,sum,11,zrcl



         Complex roots

f1: 11,zsto,8,zy^x,11,zrcl,5,zy^x,3,z*,z-,11,zrcl,2,z*,z+,1,z-
f2: 33,zrcl,31,zrcl,z-,43,zrcl,41,zrcl,z-,z/,43,zrcl,z*,zchs,33,zrcl,
    z+,35,zsto,1,f,45,zsto,43,zrcl,41,zsto,45,zrcl,43,zsto,33,zrcl,31,
    zsto,35,zrcl,33,zsto
f3: 38,zsto,zroll,33,zsto,zroll,31,zsto,1,f,41,zsto,33,zrcl,1,f,43,zsto,1,
    38,rcl,1,2,sum,33,zrcl
f4: +i,z*,zexp,3,zrcl,z*,15,zsto,1,zrcl,z+,13,zsto,1,f,17,zsto,13,zrcl,
    5,f,19,zsto,17,zrcl,z/,imag,2,z/,zpi,z/
f5: 7,zy^x,8,z*,13,zrcl,4,zy^x,15,z*,z-,2,z+,15,zrcl,z*,+i,z*
f6: 3,zsto,zroll,1,zsto,0,pi,2,*,4,igr