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last edited 3 months ago by test1 |
Edit detail for mathematical algorithms revision 8 of 8
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Editor: test1
Time: 2024/12/04 12:54:45 GMT+0 |
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changed: -and transcendental functions. In arithmetic kernels behave like variables, -but for example have interesting derivatives. - - - and transcendental functions. In arithmetic transcendental kernels behave like variables, but for example have interesting derivatives. Algebraic kernels in arithmetic are simplified using defining relations, for example `\sqrt(2)' squared simplifies to 2. Algebraic simplification in charactristic 0 implies specific derivative, so there is no need to separately give derivative.
Computer algebra systems like FriCAS implement a very large number of mathematical algorithms. By that we mean:
mathematical
adj.
- Of or relating to mathematics.
- Meaning
a Precise; exact. b Absolute; certain.
Ref: http://www.answers.com/mathematical&r=67
algorithm
n.
A step-by-step problem-solving procedure, especially an established, recursive computational procedure for solving a problem in a finite number of steps.
Ref: http://www.answers.com/algorithms&r=67
Links to other pages on related subjects:
- FriCAS Algebra
- Interval Arithmetic
- Manipulating Expressions
- Real Numbers
- Simplifying Expressions
- RischImplementationStatus
- Group Algorithms
Core algorithms in FriCAS deal with commutative algebra:
- polynomial arithmetic
- polynomial GCD and factorization
- Groebner bases and triangular system
Support for calculus uses notion of kernel: kernels represent algebraic and transcendental functions. In arithmetic transcendental kernels behave like variables, but for example have interesting derivatives. Algebraic kernels in arithmetic are simplified using defining relations, for example `\sqrt(2)' squared simplifies to 2. Algebraic simplification in charactristic 0 implies specific derivative, so there is no need to separately give derivative.