20f965ac-21e1-4f29-b916-b14427e19b2d 78 4 5 decimal

&[DATE] &[TIME] - &[FILENAME]

restart MaximaControl Restart complete.

List and Matrix translation

a b 21 sys c d 31 sys Maxima a b 21 sys c d 31 sys

a 2 ≡ b.2 21 sys c #m ≡ 21 sys Maxima a 2 ≡ b.2 21 sys c #m ≡ 21 sys

Plugin updated. Changes/Features: - List and matrix translation improved, mixed and nested arrays now supported - Singleton lists are removed - arcus and area functions are correctly translated The changes improve the access to many functions in Maxima, which require mixed or nested list/matrices as input or produce such output. Also, note that the example shows how to produce scalable svg with the draw package.

Matrices of lists keep their structure

x 1 ≡ y 2 ≡ 21 sys x 2 ≡ y 3 ≡ 21 sys 12 mat Maxima x 1 ≡ (y 2 ≡ (21 sys x 2 ≡ (y 3 ≡ (21 sys 12 mat

x 1 ≡ y 2 ≡ 21 sys x 2 ≡ y 3 ≡ 21 sys 21 mat Maxima x 1 ≡ (y 2 ≡ (21 sys x 2 ≡ (y 3 ≡ (21 sys 21 mat

Removal of singleton lists (not matrices)

a 11 sys 11 sys Maxima a 11 mat

a 11 sys 11 sys Maxima Maxima a 11 mat

a 11 mat 11 sys Maxima a 11 mat

a b 11 sys 21 mat Maxima a b 21 mat

arc and area functions

diff() int() MaximaTakeover diff() and int() now use Maxima

x atan x diff 11 x 2^+ /

x asin x diff 11 x 2^- sqrt / 11 sys

x acsc x diff 1 x 2^x 2^1 - x 2^/ sqrt * / -

x asinh x diff 11 x 2^+ sqrt /

x asin x (int x x asin * 1 x 2^- sqrt +

x acsc x (int 2 x * x acsc * 11 - x 2^+ x 2^/ sqrt + 1 - 1 - x 2^+ x 2^/ sqrt + / ln + 2 /

none MaximaTakeover All functions now are native SMath.

Umlauts and degree symbol support

äöüßÄÜÖ° Maxima äöüßÄÜÖ°

Applications

Access to reports from statistics functions

msg stats load Maxima :

msg D:/Maxima-5.31.1-1/share/maxima/5.31.1-1/share/stats/stats.mac

Data 78643545457543744242110 mat transpose :

Data test_mean Maxima MEAN TEST mean.estimate 54.3 21 sys conf.level 0.95 21 sys conf.interval 42.50179070143282 66.09820929856718 21 sys 12 mat method Exact t-test. Unknown variance. 21 sys hypotheses H0: mean = 0 , H1: mean ≠ 0 21 sys statistic 10.4113370759161 21 sys distribution student.t 921 sys 12 mat p.value 2.555777727009101 106 -^* 21 sys 18 mat 1234567881 sys inference.result

res Data test_mean args Maxima 2 el :

res 1 el mean.estimate 54.3 21 sys

res mean.estimate 54.3 21 sys conf.level 0.95 21 sys conf.interval 42.50179070143282 66.09820929856718 21 sys 12 mat method Exact t-test. Unknown variance. 21 sys hypotheses H0: mean = 0 , H1: mean ≠ 0 21 sys statistic 10.4113370759161 21 sys distribution student.t 921 sys 12 mat p.value 2.555777727009101 106 -^* 21 sys 81 sys

res 1 el 2 el 54.3

Eigenvalue computation

Standard function

1005050022 mat eigenvectors Maxima 5012 sqrt - (* 5012 sqrt + (* 1122 mat 112 sqrt + (- 12 mat 11 - 2 sqrt + 12 mat 21 mat 12 mat

1 m * 00030001 m * 33 mat eigenvectors Maxima m 32122 mat 10000123 mat 01013 mat 21 mat 12 mat

w.1 w.2 m.1 m.2 22 mat 10000123 mat 01013 mat 21 mat 12 mat

w.i

eigenvalues

m.i

multiplicity

for each eigenvalue

w.i

there is a matrix with

m.i

lines, each being

an eigenvector

Package "linearalgebra"

msg linearalgebra load Maxima :

msg Warning:
WITH-COMPILATION-UNIT is being redefined. D:/Maxima-5.31.1-1/share/maxima/5.31.1-1/share/linearalgebra/linearalgebra.mac 21 sys

1005050022 mat eigens_by_jacobi Maxima 120.7107 20.7107 - 0.9239 0.3827 - 0.3827 0.9239 22 mat 31 sys

10003000133 mat eigens_by_jacobi Maxima 13131 sys 10001000133 mat 21 sys

Plotting with the draw package

msg draw load Maxima :

msg D:/Maxima-5.31.1-1/share/maxima/5.31.1-1/share/draw/draw.lisp

opts user_preamble set terminal svg noenhanced dynamic fname 'Verdana' fsize 18 set xtics 1 offset 0,-0.5 set ytics 1 offset 1,0 set ztics 2 offset 1,0 41 sys ≡ palette red white blue 31 sys ≡ terminal svg ≡ title This image is resizable ≡ background_color #FEFEFE ≡ file_name draw ≡ grid true ≡ cbtics 2 ≡ ztics 2 ≡ enhanced3d true ≡ y 2^x 2^- x 2 - 2 y 2 - 2 explicit 111 sys :

dir DocumentDirectory CurrentDirectory :

dir D:\FHB\Software\SMath\SMath Skript\SMath\Maxima\

opts draw3d Maxima ?explicit gr3d

draw.svg

Make sure you have the latest version of the ImageRegion plugin

You might need to re-calculate in order to see changes in the plot, as SMath does not wait for Maxima to finish writing the file.