can we have Arithmetical and Geometrical tools?

always when a math software is created always focus on the algebraic part, but always forget Arithmetical and Geometrical, now that SMATH is my favorite software I wish to more tool like this.

Wrote

can we have Arithmetical and Geometrical tools ?

Geogebra is freeware from former Mathcad Collab Steen.
Very specialized Geometrical. Smath does same and more.
Smath is more a CAS than Geometrical.

PentaStar.sm (11 KiB) downloaded 78 time(s).

Is there anything for Arithmetical tool?

Wrote

Is there anything for Arithmetical tool ?

Sorry, I don't understand what is Arithmetical tool.
Besides spooling to file [store/recall], logic, computing machinery
perform a single arithmetic operation [+ ... add]
then subtract, multiply ... division is another story.
In short, in the simplest and the most advanced operating system(s)
their arithmetic is limited to [+, -, *, /].
All mathematical functions make savant combination of these 4 Aops.
Aops => [Arithmetic operations].
A good lecture: Semi Numerical Algorithms [Donald Knuth].
Can you be more explicit ?

Here a sample, operations with binaries PR another base different to 10

https://en.smath.com/forum/yaf_postst20220_operations-with-base-different-to-10.aspx

For example, for binaries:

2 in base 10 = 2

2 in base 2 = 10 ( base 2)

2 in base + 2 in base 2 = 100 (base 2)

4 in base 10 = 100 in base 2

Another example, calculate how many number with the way abca exist?

abca is a unique number and each variable represent a different figure

Example

abca

1231
1031
2452

Where

a is the number in the column 1 and 4

b for column 2

C for column 3

And like this exist lot

Wrote

Another example, calculate how many number with the way abca exist ?

Something like this ?

Maths Binomial Notation.sm (80 KiB) downloaded 59 time(s).

not sure if permutation formulas apply here, but some samples here:



in this example, we can appreciate that any base different to 10 can be used in any operation, I mean Smath could add this feature to change the numerical base to be used anywhere. this is useful, for example, when we wish to convert 100 seconds (base 10) to a sexagesimal base(base 60) and for this we could simply change the base without doing any trick.

in Spanish:



related to the second sample/request, I did not found English documentation. here the translation:

Quote

Combinatorial method

the amount of numbers or combinations that can be formed with several orders or variables independent of each other, is numerically equal to the product of the amounts of values ​​that can take orders or variables

this means, translated to SMath code, generate a matrix for each number, and we multiply the number of values, in the sample we have base 10.

in the sample above the solution is 4*10*5 = 200

edit:

... and the correct form to write a unique number with 3-digit is:



we have not this symbol in SMath.

edit 2:

... and the correct form to write a unique number with base different to 10 is:



we have not this symbol in SMath, but similar is the subscript.

Wrote

this is useful, for example, when we wish to convert 100 seconds (base 10) to a sexagesimal base(base 60) and for this we could simply change the base without doing any trick.

Smath gets its productive power from zillions of utilities.
As applicable to projects, they are collected/collapsed at top of document.
The DMS(data) is one of those {Martin] as appropriate to your project.
Cheers ... Jean

Maths Convert [deg, min, sec].sm (9 KiB) downloaded 63 time(s).