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These are questions asked by Markiyan Hirnyk

How to calculate floor(10^(10^(10^(10^(10^(-10^10))))))? My simpleminded try is

Error, numeric exception: underflowPS. I think that is about 10^(10^10).

Let us consider the expression

restart;f := log[x](1+(x^a-1)*(x^b-1)/(x-1));Does it define a convex function on the interval 0..1 and on the interval 1..infinity if the parameters a>0, a< 1, b >0, b <1?

My try is

and

.

At the same time I have got problems in the general case. For example,

Error, (in @) too many levels of recursion

That's all right if

convex.mw

Is it possible to numerically calculate the integral

int((-12*y^2+1)*ln(abs(Zeta(x+I*y)))/(4*y^2+1)^3, [y = 0 .. infinity, x = 1/2 .. infinity])

in Maple?

The code

int((-12*y^2+1)*ln(abs(Zeta(x+I*y)))/(4*y^2+1)^3, [y = 0 .. infinity, x = 1/2 .. infinity],numeric,epsilon=0.1)

has been executed on my comp without any output since this morning.

We have two texts in a certain language, represented as Maple strings, e. g."die einkommen der landwirte sind fuer die abgeordneten einbuch mit sieben siegeln um dem abzuhelfen muessen dringend allesubventionsgesetze verbessert werden" and"die steuern auf vermoegen und einkommen sollten nach meinungder abgeordneten nachdruecklich erhoben werden dazu muessen diekontrollbefugnisse der finanzbehoerden dringend verbessert werden".We have to find the maximal common subsequence of the words in the both texts,i.e. "die einkommen der abgeordneten muessen dringend verbessert werden" forthe above. If there are a few such ones, then only one is enough. How to programthat by SringTools and/or EssayTools in maximum efficient way? A compiled procedure is welcome.

What is the set of the points (x,y) s. t.

y^2+y^3+(y^3-x^2-3*x*y)^(1/4) <= 5*x*y ?

How to draw it with Maple?

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