Daly T.'s Axiom PDF

By Daly T.

ISBN-10: 0201134489

ISBN-13: 9780201134483

This can be a educational creation to the Axiom computing device Algebra process. It contains examples that illustrate a number of the easy talents.

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Example text

E. expressions involving symbols and other features available on more sophisticated calculators). 1 Expressions Involving Symbols Expressions involving symbols are entered just as they are written down, for example: xSquared := x**2 x2 Type: Polynomial Integer where the assignment operator “:=” represents immediate assignment. Later it will be seen that this form of assignment is not always desirable and the use of the delayed assignment operator “==” will be introduced. The type of the result is Polynomial Integer which is used to represent polynomials with integer coefficients.

3. 142857 Type: DecimalExpansion continuedFraction(6543/210) 31 + 1| 1| 1| 1| + + + |6 |2 |1 |3 Type: ContinuedFraction Integer Finally, partial fractions in compact and expanded form are available via the functions partialFraction and padicFraction respectively. The former takes two arguments, the first being the numerator of the fraction and the second being the denominator. The latter function takes a fraction and expands it further while the function compactFraction does the reverse: partialFraction(234,40) 6− 3 3 + 2 2 5 Type: PartialFraction Integer padicFraction(%) 6− 1 1 3 − + 2 22 5 Type: PartialFraction Integer compactFraction(%) 6− 3 3 + 22 5 Type: padicFraction(234/40) 117 20 PartialFraction Integer 30 CONTENTS Type: PartialFraction Fraction Integer To extract parts of a partial fraction the function nthFractionalTerm is available and returns a partial fraction of one term.

One-dimensional arrays can be created using new which specifies the size of the array and the initial value for each of the elements. Other operations that can be applied to one-dimensional arrays are map! which applies a mapping onto each element, swap! (a,b,c) which copies the array b onto a starting at position c. ) Other types based on one-dimensional arrays are Vector, String, and tt Bits.

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Axiom by Daly T.

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