New open math tool

This is very neat as this is exactly what I wanted. I wanted to mix and calculate with the imaginary and it requires the representation of variables in parts.

Something generated with blender.

The snap is a 2x2 matrix and solved with a vector and so Ax=b. An odd thing that I ran into is that Gauss or somebody of that stature wrote a manuscript complaining that x should not be used as the symbol for multiplication as it overloads x as the unknown and creates confusion. At least I am in good company when I moan about symbol overloading and the confusion it can create.

I was testing this program ( extcalc in the debian ) and it has lots of promise. I wanted to make my own calculator that implemented matrix generation and analysis for the sake of graphs and circuit analysis and whatever.

It is a useful base tool but has some SIGSEGV issues in the corner cases. It is BETA. I will get the source and see if it can be made to integrate with Python, Blender and my other utilities. I specifically wanted to examine n-dimensional matrices of graphs like Kirchoff circuits and determine some principles for compressible space or systems. The idea that a node has in=out implies a lack of compressibility, which is not true in real systems. There is always something going on and the generalized formulas can lead to situations that are unexpected. A capacitor stores e^- and so is compressible in a sense. I wanted to integrate some functions as elements of matrices in time and state. By using a series of matrices like a Markov matrix which describes the equal distribution of charge by voltage, I would hope to get some insight into higher dimensional flux and what it might represent.

I was looking at the pigeon hole principle and the extensions to infinite sets and I think I see why it seems paradoxical to me, because it is and that is known. Infinity is not a real thing and so it could never be tested. The analysis of relative infinities is done within the scope of a specific aspect and so it seems that it can be characterized in relative terms in many ways.

motey-$ concalc "bin0001|bin1101"
13
motey-$ concalc "sin(pi/4)"
0.707106781186547524
motey-$ concalc "(1+1/1000)^1000"
2.71692393223589258

And some examples of the shell utilities that are available with concalc. This will be useful in shell scripts. Below is an octave example of a Wheatstone bridge done with a matrix. I have done these in my head usually. Notice that the matrix operator is \.

octave:1> A=[300,100,150;100,650,-300;-150,300,-450]
A =                                                 
   300   100   150
   100   650  -300
  -150   300  -450

octave:2> b=[0;0;-10]
b =
    0
    0
  -10

octave:3> x=A\b
x =
  -0.039080
   0.032184
   0.056705

octave:4> AU=triu(A)
AU =
   300   100   150
     0   650  -300
     0     0  -450

octave:5> AL=tril(A)
AL =
   300     0     0
   100   650     0
  -150   300  -450

SO... that is the Ax=b of that matrix. It is like having the mind of Gauss in software.