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inverse of a function...

August 21 2013 samah 15
Hi I want to obtain the inverse of the following cumulative function: F(x)=1/n ∑_(i=1)^n(1-e^(-β/h (x-x_i-γh) ) )

i do not have a handbook of function properties, or properties from analysis

is there someone written a package to list which properties a function have after input a function?

Maple people:

 

The title is the question.  I defined a function in Maple, which works.  I am trying to get Maple to compute its derivatives.  I want to save the derivatives as functions.  Here is a code snippet.  The function itself works.  I have uploaded the worksheet.  Mapleprimes seems to have copied the entire worksheet into this question when I uploaded the worksheet. 

 

[begin code snippet]

a := f(x,y) = f(y,x)

how to get x and y from left side f(x,y)

and get y and x from right side f(y,x)?

how can i define a matrix as a sunction of a variable so that when i chande the independet variable,the elements of the matrix also change?

A(t):=[a[t],b[t],c[t]] ; i want to define a function like this,so that by changing the time t,the elements of the matrix also change,what should i do?

hi

I have an unkhown function as f(r) which i want to solve it at the end of calculation. How can i define it in beggining?

I want to write g as a function of sigma^2.

but

g := unapply(1/sqrt(1+3*q^2*sigma^2/Pi^2), sigma^2);

yields an error. how to do?

It's interesting that every continuous piecewise linear function can be specified by one explicit equation with absolute values​​. The procedure JoggedLine carries out such conversion.

Formal arguments of the procedure: 

A - a list of the coordinates of the vertices of the polyline or the continuous piecewise linear expression defined on the entire real axis.

B (optional) - a point on the left "tail"...

The expression below is not producing any plot, although the axes and sliders are set :

How to plot x versus theta of the following implicit function

sin(theta)-2*sin(2*x-theta+(1/3)*Pi)/sin(x+(1/3)*Pi-theta)=0

where x is the implicit function of theta

now how can I plot the relationship between x and theta(condition:-Pi<theta<Pi,-Pi<x<Pi)

For a function of one variable, I use the map command quite a bit to evaluate the function at several values of the independent variable. For example,

f:=x->x^2:

xlist:=[1,2,3]:

map(f,xlist)

How may I do something similar for a function of two variables? For example,

f:=(x,y)->x^2+y^2:

xylist:=[[1,1],[1,2],[2,1],[2,2]]:

Can the map command be used to evaluate f at each ordered pair? Maybe I'm not even using the correct data structure. Thanks!

my function is:

f := proc (x) if 0 < x and x < evalf(Pi) then 1 elif evalf(Pi) < x and x < evalf(2*Pi) then -1 end if end proc

now it tried:

f1 := add((-1)^n*f(x-evalf(2*n*Pi)), n = 0 .. 10)

to get a periodic function.

but unfortunately it says:

Error, (in f) cannot determine if this expression is true or false: 0 < x and x < 3.141592654
already when trying to calc the sum.

Good afternoon everybody,

I have a problem with the evaluation of a function. You can see the test programm I have written to test the use of functions and in the end I don't get values but the expression in letters.
I think the problem lies in the definition of g but I don't know how to solve the problem.

Thank you for your help,

ssteve

 

 

 

I'm trying to add the output of my function FunctionToTree,which gets all elements from an expression, to a graph using the Graph function but I'm getting erros even when I add it as a list.

with(GraphTheory):
with(SpecialGraphs):
FunctionToTree:=proc(expr)
local elem;
local Tree:=NULL;
local exprType := convert(whattype(expr),string);
local newExpr:=convert(expr,string);
if (nops(expr) <> 1) or (nops(op(1,expr)) <> 1) then
for elem in op(expr) do :

Hi,

Presently, I am trying to find a way to replace functional expressions by a variable 

For example I have an expression as follows:

p:=f(x)^2 + g(x)^3 

I would like to get this to look like 

q:= f^2 + g^3 

Does anybody have an idea of how to do this in Maple? 

Thanks,

Willem

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