## Is anyone working on Landau's Problems?...

Asked by:

We conjecture that the polynomial h(n) = n^2 + n + 41 is prime for an infinite number of values n.
We furthur conjecture that p(n) = n^2 + 1 is prime an infinite number of times.

I have shown that the set (x,y) with h(y) mod x is congruent to 0 can be written down.  It is p(x,y).  p(x,y) is the set of all divisors of h(n).  See

https://sites.google.com/site/primeproducingpolynomial/

landau.mw

Regards,

Matt

## Tick marks all sides in plot...

Asked by:

Dear sir,

i want to plot a graph with  tick marks on all sides , i am attaching codes and  a sample graph, see the attachmnent,

The graph range should be displace only on x and y axis and the vaues should not be on opposite to x and y axis

please see the sample graph

restart:
h:=z->1-(delta2/2)*(1 + cos(2*(Pi/L1)*(z - d1 - L1))):
K1:=((4/h(z)^4)-(sin(alpha)/F)-h(z)^2+Nb*h(z)^4):
lambda:=Int(K1,z=0..1):
F:=0.3:
L1:=0.2:
d1:=0.2:
alpha:=Pi/6:
plot( [seq(eval(lambda, Nb=j), j in [0.1,0.2,0.3])], delta2=0.02..0.1);

## plots multiple help...

Asked by:

hai,

i want to plot a graph here is my codes and i want the graph like this, can any body help me

restart:
with(DEtools):
with(plots):

h(z):=1-(delta2/2)*(1 + Cos(2*(Pi/L1)*(z - d1 - L1))):
K1:=((4/h^4)-(sin(alpha)/F)-h^2+Nb*h^4):
lambda:=int(K1,z=0..1):
F:=0.3:
L1:=0.2:
d1:=0.2:
alpha:=Pi/6:
evalf(lambda);

## How to make insequence work in a maplet...

Asked by:

Hi,

I have a list of displayed sequences

S[j]:=display(seq(R1[i],i= 1..ne),seq(R[i],i= 1..ne), scaling = constrained, axes = none);

that can be animated easily in a worksheet using the following command

display(seq(S[n]\$5, n=1..10), insequence=true);

but when I try to embed that in a maplet, it doesnt work. The problem is with insequence. I removed insequence and the maplet showed S[10]. What else can I use?

What can I do to have the maplet show the sequence of displays? Is there a way to use the animate command here?

Thanks for the help.

## How to animate plots generated using sequence of c...

Asked by:

Imagine three isosceles triangles with coordinates of each stored in a matrix such as:

> coord1:=Matrix(3,2,[0,0,5,0,2.5,4]);

> coord2:=Matrix(3,2,[2,0,7,0,4.5,4]);

> coord3:=Matrix(3,2,[4,0,9,0,6.5,4]);

and plotted together as follows (only the first is shown)

> PLOT(CURVES([[0,0],[5,0],[2.5,4],[0,0]]),COLOR(HUE,1));

I want to create an animation with stationary (original) isosceles triangles in the background along with new isosceles triangles generated by incrementally (say 4 increments) moving only the apex of each triangle until it touches the base of the triangle; obtained by multiplying the apex’s vertical coordinate by (say ¼) in each increment using a do loop.

Your help is greatly appreciated.

Thank you in advance.

## equation of ellipsoid...

Asked by:

how can I find equation discribing elliptic intersections and use lagrange to show the higest and lowest value ?    g

## How do we check whether op(n,g) exists?...

Asked by:

I would like to check if op(n,g) exists for a given function g and a positive integer n.
How do I do it?
Naturally, I don't have the function g. It is theoretically created.
Thank you!

mapleatha

## Parentheses around y'(t) in Maple?...

Asked by:

Is there a way to remove the parentheses around y'(t)?

Thank you!

mapleatha

## How do we reverse the order of these two factors i...

Asked by:

Assume that f:=(s+2)^2*(s-3). How do we get the order of the two factors reversed?
In other words, how do we get g:=(s-3)*(s+2)^2 by manipulating f? As usually,
I don't have f fixed. It is a product of two algebraic factors generated within the Maple program.
Thank you!

mapleatha

## Is there a command that will place single left quo...

Asked by:

I occasionally need single left quotes placed around the value of number.
Let's say x=3. Is there a command on x that will make x=`3`?
Thank you!

mapleatha

## Why is this happening in Maple?...

Asked by:

Why is this happening?

Thank you!
mapleatha

## How do I pick up the values from the solution of a...

Asked by:

I have this situation:

We have sol[1] = "A=1", etc. How do I pick up just the solution values 1, 2 and 3 from sol? This is a generated system in a larger program, so I don't have access to the individual numbers coming out of a single step.
Thanks!
mapleatha

## Why is Maple changing the order of the terms?...

Asked by:

In the partial fraction decomposition Maple often changes the order of the terms.
For example,

How do we remedy this?
Thank you!

mapleatha

## Why is Maple 13 giving me this?...

Asked by:

Why is Maple 13 giving me

instead of (s-3)/((s-3)^2+4)?

Thank you!
mapleatha

## Why is Maple giving me -x-yI when I want -(x+yI)?...

Asked by:

I really need to factor minus one from -x-yI. I can do -[x+yI] and -{x+yI}. I cannot do -(x+yI).
Well, i really don't have these numbers exactly. They are produced within a Maple program.
I have something like ab, where a is the number x+yI. The little trick -`a`b will not work because
of the rather involved form of "a".
Thank you!

mapleatha

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