## Ramakrishnan

Ramakrishnan Vaidyanathan

## 399 Reputation

10 years, 235 days

## Social Networks and Content at Maplesoft.com

With twenty years of Industrial experience and twenty years of teaching experience, I am now as retired Professor, using Maple to teach mathematics subject for students studying X to XII standards. Published XII Mathematics books.

## Fractional part function...

Maple

Fractional part of a negative number is always positive. But maple command frac(-7.8) gives -0.8 instead of 0.2. Why is this? Though we can find it by using 1-frac(x), maple command may be there to give fractional part for all real numbers as per definition.

Like frac(9.8)=0.8 and frac(-9.8)=0.2.

Is there a command in maple?

Thanks. Ramakrishnan V

## simple problem - yet difficult i found...

Maple

A polynomial divided by another polynomial of lower degree. I want to find the remainder and quotient. How do I get.

The question is what should I add to the numerator get perfect division when x-3 x  -12 x+19 is divided by x2+x-6.

I shd get the answer as 2x+5 to be added since the remainder is -2x-5.   (Note that x-3 x  -10 x+24 is excatly divided by 2+x-6.

Can any one state the code to get the answer.

Quotient ( ) and Remainder (  ) codes , i tried, donot know how to use them.

Thanks for help. Cheers. RK

## Two dimensional piecewise function...

Maple

Is there any command for defining piecewise functions in 2 dimensional domain (x, y)

Say (x,y) such that ((0,0)<(x,y)<(1,1), x+y, (1,1)<(x,y)<(2,1), x-y), x=0..2, y=0..1)

Thanks for help.

Ramakrishnan

## ImplicitPlot 3D for Solid Hemisphere...

Maple

I am not getting the hemisphere which I thought was my expression (equation) represents.

Can anyone help me find my mistake.

with(plots);
implicitplot3d(z <= sqrt(-x^2 - y^2 + 9), x = -3 .. 3, y = -3 .. 3, z = 0 .. 3, coords = spherical);

Doubt_ImplicitPlot.mw

## What is the error in my arrow code?...

Maple

I have recently received a doc from my friend in privete group in maple cloud, the table showed both eye(view) icon and download icon).When I downloaded and run, the document does not run (maple 2019).

When I sign in maple cloud and see the doc (only view button is ahow), the same document works fine. What could be the error?

I attach  a document extract showing the errors (unable to delimt   .../  identifiers).

Can any one help us please?

Thanks. Ramki.

Dear Prof.

The following code seems not copying properly (my communication error be allowed please)