The union is simple

with(plottools):
with(plots):
display([torus([1,1,1], 1, 2),torus([1,6,1], 1, 2)], scaling=constrained, lightmodel=light1, shading=zgrayscale,color=[red,red]);

but how to plot the intersection?

I have been try to code the 

mdl:-Fit(x, y, opts)
command in Deep learning package

But i feel new to that command I am making errors 

Can I get a small toy code how to call it and its output on train and test

so that i could learn

kind help please

Hello,
 i want to increase my value monotonically  . but i don't want to do it like sequence. how can i write code.

for example my value ..starts at 0...to some values i just want to increase.
help me plz

I'm having a symmetric bivariate polynomial P(x,y) with a high degree (larger than 8). I want to know if there exists a root of P(x,y) or not. I may not need a specific root but rather to know if P(x,y) has a root or not. I've been doing some research but I only find the command that helps solve univariate functions or solve systems of bivariate functions. 

In conclusion, my question is: How can I know that a symmetric bivariate polynomial has a root or not using Maple?

Here is the polynomial I want to check

P(x,y)=x^12*y^3 + 10*x^11*y^4 + 43*x^10*y^5 + 105*x^9*y^6 + 161*x^8*y^7 + 161*x^7*y^8 + 105*x^6*y^9 + 43*x^5*y^10 + 10*x^4*y^11 + x^3*y^12 - x^12*y^2 - 8*x^11*y^3 - 17*x^10*y^4 + 8*x^9*y^5 + 82*x^8*y^6 + 128*x^7*y^7 + 82*x^6*y^8 + 8*x^5*y^9 - 17*x^4*y^10 - 8*x^3*y^11 - x^2*y^12 - x^12*y - 4*x^11*y^2 - 62*x^10*y^3 - 341*x^9*y^4 - 902*x^8*y^5 - 1410*x^7*y^6 - 1410*x^6*y^7 - 902*x^5*y^8 - 341*x^4*y^9 - 62*x^3*y^10 - 4*x^2*y^11 - x*y^12 + x^12 - 8*x^11*y - 62*x^10*y^2 - 680*x^9*y^3 - 3169*x^8*y^4 - 7312*x^7*y^5 - 9540*x^6*y^6 - 7312*x^5*y^7 - 3169*x^4*y^8 - 680*x^3*y^9 - 62*x^2*y^10 - 8*x*y^11 + y^12 + 10*x^11 - 17*x^10*y - 341*x^9*y^2 - 3169*x^8*y^3 - 11838*x^7*y^4 - 21793*x^6*y^5 - 21793*x^5*y^6 - 11838*x^4*y^7 - 3169*x^3*y^8 - 341*x^2*y^9 - 17*x*y^10 + 10*y^11 + 43*x^10 + 8*x^9*y - 902*x^8*y^2 - 7312*x^7*y^3 - 21793*x^6*y^4 - 30696*x^5*y^5 - 21793*x^4*y^6 - 7312*x^3*y^7 - 902*x^2*y^8 + 8*x*y^9 + 43*y^10 + 105*x^9 + 82*x^8*y - 1410*x^7*y^2 - 9540*x^6*y^3 - 21793*x^5*y^4 - 21793*x^4*y^5 - 9540*x^3*y^6 - 1410*x^2*y^7 + 82*x*y^8 + 105*y^9 + 161*x^8 + 128*x^7*y - 1410*x^6*y^2 - 7312*x^5*y^3 - 11838*x^4*y^4 - 7312*x^3*y^5 - 1410*x^2*y^6 + 128*x*y^7 + 161*y^8 + 161*x^7 + 82*x^6*y - 902*x^5*y^2 - 3169*x^4*y^3 - 3169*x^3*y^4 - 902*x^2*y^5 + 82*x*y^6 + 161*y^7 + 105*x^6 + 8*x^5*y - 341*x^4*y^2 - 680*x^3*y^3 - 341*x^2*y^4 + 8*x*y^5 + 105*y^6 + 43*x^5 - 17*x^4*y - 62*x^3*y^2 - 62*x^2*y^3 - 17*x*y^4 + 43*y^5 + 10*x^4 - 8*x^3*y - 4*x^2*y^2 - 8*x*y^3 + 10*y^4 + x^3 - x^2*y - x*y^2 + y^3

`debugger/no_output`;

From the Maple 2023 user manual for AudioTools, when I attempt to input:

with(AudioTools):
Tone := f -> Play(Create(x -> evalhf(sin(1/22050*x*Pi*f)), duration = 1)):
Tone(440);

I get the following error message:

Error, (in DocumentTools:-GetProperty) Attempted to retrieve property of unknown component Speaker0.

Clicking the error message in Maple then goes to this page:

https://www.maplesoft.com/support/help/errors/view.aspx?path=Error,%20(in%20DocumentTools:-GetProperty)%20Attempted%20to%20retrieve%20property%20of%20unknown%20component%20Speaker0.

How do I get a function to play as an audio file in Maple 2023?

Is there a way to enclose in parentheses or brackets a highlighted selection of Maple Input?  This is a nice feature on WXMaxima to quickly and accurately enclose any selection of input syntax in parentheses or brackets.  Otherwise it can become tricky to add the opening and closing parentheses/brackets separately.

How do I insert an Input Prompt (">")?

On Maple 2023, each new input is marked on the right-hand side as (1), (2), (3), etc.  This is equivalent on WXMaxima as %i1, %i2, %i3, etc.  On WXMaxima, I can left-click between any two previous inputs to insert a new input, for example %i4 might be between %i1 and %i2 if I added %i4 after %i3.  However, I can't seem to do this on Maple.  Is there a way to go back and add a new input between two previous inputs on Maple 2023?

Likewise, I can't seem to add a new input prompt after the last input prompt if the last input prompt has not executed.

Is there a way to express any number in any number base using Maple?

Start with converting any positive real number (rational or irrational) into any positive real number base (rational or irrational), such as: what is "1/65536" in base "999" or what is "sqrt(2)" in base "exp(1)"?

But also for negative, imaginary, and complex numbers: for example, what is "(1/3)-sqrt(3)*I" in base "-Pi*I"?

Specifically, I would like to know what are the first 1024 digits of "exp(1)" in base 16777216, but a general function to convert any number into any base would be preferred.  Base 16777216 is a fun example since each digit can be expressed as a hexadecimal color (from #000000 to #ffffff) on a computer monitor.  Not sure how to get Maple to color the digits automatically though.

It's unfortunate that the "convert/base" feature on Maple only works for integers and bases that are positive integers.

https://en.wikipedia.org/wiki/golden_ratio_base

https://en.wikipedia.org/wiki/negative_base

https://en.wikipedia.org/wiki/quater-imaginary_base

Hi,

I am trying to animate quadrics, and I don't understand the issue with my fourth animation on the elliptic paraboloid

Thanks for your help

QQEllipticPar.mw

Please help me how to plot the following Chemotaxis System in Maple. Great Thanks

PDE 1= 

PDE 2 = 

with the initial conditions

and

and the boundary conditions

and

Certainly, ½ cannot be a root of the following equations: 
 

Download solvefor_BUG.mw

But why can't Maple's solvefor rigorously verify (or at least try to check) the solution by itself?
Please note that this issue is irrelevant to the alleged deprecated command. You may reproduce these via :-solve, Degrees:-solve, RealDomain:-solve, PDEtools:-Solve, etc.

Say I have 20 userdefined functions defined by me say

Now i required function which picks one of the userdefined from the above 20 functions randomly

ADM-1.mw

Download ADM-1.mw

How do I display Unicode characters in Maple 2023?  From the user manual, it seems like this should be supported, but all I see are tofu characters (empty white boxes) and/or question marks.  I have the correct Windows fonts installed for Unicode support and the characters display correctly in Microsoft Notepad.

For example, in sexagesimal (base-60) cuneiform, 1 = 𒐕 (𒐕), 2 = 𒐖 (𒐖), 3 = 𒐗 (𒐗), etc.  If the cuneiform characters display on your web browser, then you should have the correct fonts installed, but they don't display on Maple.  Using the special characters as numerical constants, then you should be able to say in Maple:

𒐕 := 1;
𒐖 := 2;
𒐗 := 3;
𒐕+𒐖;

I tried adding "with(XMLTools):" and "with(StringTools):" but that didn't help, nor did "DecodeEntities("𒐕");".

Even more problematic than simply not displaying the characters, but Maple does not seem to be able to save these characters as constants.  All three characters save as the value "3" instead of 1, 2, and 3, so that the sum of 𒐕 (1) and 𒐖 (2) equals 6 instead of 3.  Something else wrong is that I see two tofu boxes and/or two question marks for a single cuneiform character.  Not sure if this is a bug with Maple 2023.

I seem to have the same problem with က (က) and 𐀀 (𐀀) but not with Ā (Ā) so it looks like maybe there is not full Unicode support for Maple 2023?  𐀀 displays as two missing characters which somehow is already saved as the decimal value 3 whereas က displays as a single missing character with no defined value.

https://en.wikipedia.org/wiki/Babylonian_cuneiform_numerals

https://en.wikipedia.org/wiki/Cuneiform_Numbers_and_Punctuation#Block