max125

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These are questions asked by max125

Maple gives me poor accuracy for simple arithmetic problems.

My calculator gives me 0.7 and 0.9 respectively.

I guess I could do evalf(convert(2.59/3.7,fraction)) = 0.7000000000

but this seems excessive.

I am trying to find the orthocenter in the x,y plane, given three coordinates  (x1,y1) (x2,y2) (x3,y3).

I am trying to avoid division by zero.

orthocenter.mw
 

restart:
orthocenter:=proc(x1,y1,x2,y2,x3,y3)
local m1,m2,m3,L1,L2,L3,slope;
slope:=(a,b,c,d)->(d-b)/(c-a);

if x1=x2 then L1:=x=x1;
elif y1=y2 then L1:=y=y1;
else m1:=-1/slope(x2,y2,x3,y3); L1:=y-y1=m1*(x-x1);
end if;

if x2=x3 then L2:=x=x2;
elif y2=y3 then L2:=y=y2;
else m2:=-1/slope(x1,y1,x3,y3);L2:=y-y2=m2*(x-x2);
end if;

if x1=x3 then L3:=x=x1;
elif y1=y3 then L3:=y=y1;
else m3:=-1/slope(x1,y1,x2,y2);L3:= y-y3= m3*(x-x3);
end if;
print(solve({L1,L2,L3},{x,y}));
end proc:

orthocenter(1,1,3,4,5,3);

{x = 11/4, y = 9/2}

(1)

orthocenter(0,0,0,3,4,1)

Error, (in slope) numeric exception: division by zero

 

 


 

Download orthocenter.mw

 

Maple gives me a null output for an equation that has a real solution.

solve(4/x^(1/3)+1=0)

The following command seems to work

solve(4/surd(x,3)+1=0)

-64

Why doesn't this have a solution over the complex numbers, when real numbers are a subset of the complex numbers. Mathematica has the same result too.

 

I would like to solve {x^2+y^2+z^2 = 3, x+y+z = 3} over the reals. Clearly x=1,y=1,z=1 is a solution.

Maple seems to have a hard time with this. I have tried using with(RealDomain) and various commands.

The last solution  is getting closer to the real number answer if i substitute z = 1, but then i get the strange answer { 1=1, x=1,y=1}

I tried using wolfram and it showed me the correct answer.

Rest assured, I am a strong maple fan. I sometimes use wolfram for quick and dirty solutions.

Also is there a way to turn off "with(RealDomain)", switch back to the default domain, without using 'restart'. 

When I download the help document here

https://www.maplesoft.com/support/help/maple/view.aspx?path=int%2Fdetails

I get a bug when I execute the page.

I copied pasted the last line using 1d math notation to replicate the error.

There is no addition symbol between x^2 + O(x^5)

On the help page I don't see an error. 

 I uploaded the help file   int-details_(2).mw 

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