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at-diff-factor-sqrt

f(x,y,A) := sqrt((1+x...

f20(x,y,A) := diff(f(...

f11(x,y,A) := diff(di...

Calculate

at-diff-exp

d(x) := diff(exp(-x^2...

h(y) := exp(y^2)*at(d...

for i:-1 thru 1 step ...

Calculate

at-expand-subst

expr : z^3 + (a1*z + ...

expr : subst (expr, w...

expand (at (expr, [w ...

Calculate

at-block-diff-linsolve-plot2d-quad_qags-sin-subst
plot2d(diff(sys1(0.25,0.75)[1],s),[s,0,1]);

sys1(sl1,sl2):= block...

sys1(0.25,0.75);

plot2d(diff(sys1(0.25...

Calculate

at-block-diff-linsolve-plot2d-subst
plot2d(sys1(0.8),[s,0,1]);

sys1(sd1):= block(f: ...

plot2d(sys1(0.8),[s,0...

Calculate

at-rat

rat(+ 0.7689555398765...

Calculate

at-laplace-sin-solve

inv_laplace(sin(at),t...

solve(%i1);

Calculate

at-rat-sqrt

rat(1/sqrt(10+2*sqrt(...

Calculate

at-rat

rat(4*%e^(-4));

Calculate

at

Run Example
(%i1)rat(0.1234);

rat: replaced 0.1234 by 617/5000 = 0.1234
                                     617
(%o1)/R/                             ----
                                     5000
(%i2) rat(0.12345);

rat: replaced 0.12345 by 2469/20000 = 0.12345
                                     2469
(%o2)/R/                             -----
                                     20000
(%i3) rat(0.12345);

rat: replaced 0.12345 by 2469/20000 = 0.12345
                                     2469
(%o3)/R/                             -----
                                     20000
(%i4) mod(12345, 1000)/100000, numer;
(%o4)                               0.00345
(%i5) lastdigits(fnum, lastn):=block([m:10*fnum, ans, n:lastn], /* it doesn't help when lastn is bigger than the total digits in fnum it returns the whole digits in fnum anyway without erroring! and fnum=%pi stuff works only upto 8 digits cause num(rat(fnum)) has somuch only! */ratprint:false, k:rat(fnum), ans:mod(m, (10^-n))/(mod(m, 10)*denom(k)), return(float(ans)));
(%o5) lastdigits(fnum, lastn) := block([m : 10 fnum, ans, n : lastn], 
                                                   - n
                                          mod(m, 10   )
ratprint : false, k : rat(fnum), ans : -------------------, return(float(ans)))
                                       mod(m, 10) denom(k)
(%i6) lastdigits(0.12345, 3);
(%o6)                        2.0251113811259619E-8
(%i7) 
Run Example
f:5*4.57+3;
(%o1)                                25.85
(%i2) at(f,x=4,57);
(%o2)                                25.85
(%i3) df:diff(f,x);
(%o3)                                  0
(%i4) at(df,x=4.57);
(%o4)                                  0
(%i5) plot2d(df,[x,0,1]);
plotplot2d(df,[x,0,1]);
Run Example
rat(+ 0.76895553987651);

rat: replaced 0.76895553987651 by 4513/5869 = 0.76895552905095
                                     4513
(%o1)/R/                             ----
                                     5869
(%i2) 

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