## 140 Reputation

14 years, 218 days

## Parametric Plot: 'incorrect fitst argume...

Hi!!

I am trying to plot the above curve:

restart; with(plots)

> f0 := proc (t) options operator, arrow; t, (-1)*3.9*t*(t-1) end proc;

> IFS := proc (i, x, y) if i = 1 then return (1/2)*y, (1/2)*x end if; if i = 2 then return (1/2)*x, (1/2)*y+1/2 end if; if i = 3 then return (1/2)*x+1/2, (1/2)*y+1/2 end if; if i = 4 then return -(1/2)*y+1, -(1/2)*x+1/2 end if end proc;

> g := proc (t) local j; for j to 4 do if evalf((1/4)*j-1/4) <= evalf(t) and evalf(t) <= evalf((1/4)*j) then return IFS(j, f0(4*t-j+1)); break end if end do end proc;

Thus, the instruction  parametricplot(['g'(t),t=0..1]) return the message

Error, (in plot) incorrect first argument [g(t), t = 0 .. 1]

Some idea or hit to plot this?

## Zeros of a partial sum of Riemann zeta...

Maple 16

Hi!

In a paper due to Borwein

http://www.cecm.sfu.ca/personal/pborwein/PAPERS/P172.pdf

it is shown a (very beautiful) graph of the zeros of a partial sum of the Zeta-Riemann, where he indicates that the plot is "the normalized zeros of the 5th partial sum of the Zeta function". Somebody know how one can plot this with Maple?

Thank you!

✐♦❝❄t✉⑥♠❧❄❞❢❤❡⑦⑧❛❋⑨⑤⑦⑧❛✯ts❝⑩❦✑❝❄❜❚qs❴❇❛ ✈❇❜❶q✉❴❷♥♦❧❄t✇q✉❤❡❧❄❞★❦sr❇⑥✤❝❄❜✫qs❴❇❛❹❸✫❤❡❛⑧⑥✜❧❺✐❇✐❻⑦⑧❛⑧q✉❧❈❼❽❜❀r❇✐♦♣✒qs❤❡❝❄✐

## Eigenvalues and Characteristic Polynomi...

Maple 14

Hi!

I am comptuing the eigenvalues and the characteristic polynomial of a 8 by 8 symmetric matrix, say M. Thus, we define the matrix M, and compute its charast. plynm. by

and its eigenvalues with the command

Well, Maple returns the charast. polynm. an dthe eigenvalues. But, if we compute p(E[k]), for k=1,...,8, thats is, the values of the polynomial p(x) in the eingenvalues, Maple not turns cero!!! I'm really confused ... anyone know what could be happening?

Maple attached file with this example. Thank very much for your help!!

## Define a function by an integral...

Maple

Hi!!

I'm trying to define a function by a definite integral. For this, first we define the following  procedure

and the map

So, for a given m, my desired  "function" should be fun(curva(m,t)). The problem here, is that this function not work because, for instance, for m=2 the command fun(curva(2,t)) returns the below expession, which i think is wrong (where is the expression on "sin" or "cos(2*Pi*t)" ???)

Somebody can help me??

Thanks!!!

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