ABAKUS 2.0

paconaranjo5

# E5 s( [; P- f3 u% M  V7 sDescription:
ABACUS is a computer-algebra-program, with whose help not only arithmetic but also symbolic calculations of mathematical formulas can be carried out. The current PALM-Version 2.0 contains following functions:
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. t$ c- ^/ _: UExact arithmetic calculations:
# Exact calculation of whole numbers of 'arbitrary' length
# r! I0 p. b# @5 Y# L# Calculation of real numbers on 'arbitrary many' after-comma-places
  i$ ^% k+ p! b$ y9 ^1 \# Exact break-arithmetic
# Smallest common multiple, biggest common Teiler
# Faculty, Binomialkoeffizient
# Primzahlen, Primfaktorzerlegung, Teilermenge
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Umformung of mathematical expressions:
, m  b3 `4 E. A8 [. x) s# Terme simplify, multiplies, faktorisieren; Main-denominators form
$ d  `* s+ P, {1 Q1 `) w( V1 r% t# Polynomials normalize, divides, faktorisieren; dismantle in Partialbrüche

5 ^, B- j, C! [# ?. ^( W5 `! wDiscussion of mathematical functions:
# Calculation of function-values
* U5 c8 V$ }2 x0 a$ V# Zero-places, pole-places, Extrema, turning points
# Differentiation, integration, with solution-way)
& O4 p+ ]" o! v( G" K# Calculation of limits
# Graphic representation, 2D and 3D)
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( J- S( N2 K! s" kSolution of mathematical equations:
# Exact and numerical solution of linear and not-linear equations
# Exact solution of linear equation-systems

Vectors and matrix-bill:
# Matrices simplify, inverts
# Determinanten, intrinsic values and own-vectors calculate

The free demo version allows you to test all functions of ABACUSES for a certain input.

9 n- N# m+ b4 Y' y: QFor example, the application of the function 'integrate delivers + trace' on the formula 'x*sin (x)' with variable 'x' the following edition:
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int(x*sin(x),x)
6 q, [, ~. N5 o5 }3 N# Partial integration:
0 D$ K7 w( e: T/ K6 J4 T# vint(u(x)*v'(x),x) = u(x)*v(x)-int(u'(x)*v(x),x)
# u = x, v' = sin(x) => u' = 1, v = -cos(x)
-x*cos(x)-int(-cos(x),x)
# int(c*f(x),x) = c*int(f(x),x)
-x*cos(x)-(-1)*int(cos(x),x)
# Table
-x*cos(x)-(-1)*sin(x)
# Simplify
& |& Q+ F+ G7 f5 T6 @-x*cos(x)+sin(x).

- ?* m" O* t/ _. ~% tDarüberhinaus contains a particular editor from ABACUSES for mathematical formulas. This way, you can input also complex expressions very fast.
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At the moment, following functions are supported:
# sin, cos, tan, cot, trigonometrical functions),
# z% c- P! X  Q" ]& T" E) n# arcsin, arccos, arctan, arccot, inverse trigonometrical functions),
# sinh, cosh, tanh, coth, hyperbolic functions),
# arsinh, arcosh, artanh, arcoth, inverse hyperbolic functions),
# sqrt (square-root)),
# crt (cubic-root)),
# exp (exponential-function)),
# ln (natural logarithm)),
# abs (amount-function)),
# sgn (Signumfunktion).

Allowable operators are '+' (addition), '-' (subtraction), '*' (multiplication), '/' (division) and '^' or '* *' (potency).

1. http://pdassi.de/files/7052/ABAKUS.trial.zip

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1 L& {/ _( l( \; S8 g[ Last edited by paconaranjo5 on 2007-3-3 at 15:37 ]