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SHEEP (symbolic computation system)

SHEEP (symbolic computation system) is a computer science topic covered in the lgStudy science library. This page brings together a partial reference excerpt, illustrations, worked examples, real-world applications and a short study plan, so you can understand SHEEP (symbolic computation system) rather than just read about it. In short: SHEEP is one of the earliest interactive symbolic computation systems. It is specialized for computations with tensors, and was designed for the needs of researchers working with general relativity and other theories involving extensive tensor calculus computations.

Key takeaways

  • SHEEP (symbolic computation system) belongs to computer science; place it in that map before memorising details.
  • Learn the definition first, then one example that makes the definition concrete.
  • Connect SHEEP (symbolic computation system) to a quantity you can measure, compute or draw — that is where exam questions come from.
  • Reproduce the core statement of SHEEP (symbolic computation system) from memory before moving on to harder problems.

Reference excerpt

SHEEP is one of the earliest interactive symbolic computation systems. It is specialized for computations with tensors, and was designed for the needs of researchers working with general relativity and other theories involving extensive tensor calculus computations. SHEEP is a freeware package (copyrighted, but free for educational and research use). The name "SHEEP" is pun on the Lisp Algebraic Manipulator or LAM on which SHEEP is based. The package was written by Inge Frick, using earlier work by Ian Cohen and Ray d'Inverno, who had written ALAM - Atlas LISP Algebraic Manipulation in earlier (designed in 1970). SHEEP was an interactive computer package whereas LAM and ALAM were batch processing languages. Jan E. Åman wrote an important package in SHEEP to carry out the Cartan-Karlhede algorithm. A more recent version of SHEEP, written by Jim Skea, runs under Cambridge Lisp, which is also used for REDUCE.

See also GRTensorII

Notes

External links SHEEP download directory at Queen Mary, University of London Some sources of info on Sheep Review article by M.A.H.MacCallum in "Workshop on Dynamical Spacetimes and Numerical Relativity" edited by Joan Centrella

Worked examples

Example 1 — a first encounter with SHEEP (symbolic computation system)

Start with the simplest possible case. Write down what SHEEP (symbolic computation system) claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In computer science, the smallest case is usually a single object, a single equation or a single measurement. Check that every symbol or term in your sentence has a meaning in that case.

Example 2 — changing one variable

Take the situation from Example 1 and change exactly one quantity: double it, halve it, or set it to zero. Predict what should happen to SHEEP (symbolic computation system) before you calculate. Comparing your prediction with the result is the fastest way to find out whether you understand the idea or only the words.

Example 3 — an exam-style question

Typical questions about SHEEP (symbolic computation system) ask you to (a) state it precisely, (b) apply it to given data, and (c) explain a limitation. Practise writing all three answers in under five minutes; the third part is what separates a full-mark answer from an average one.

Applications of SHEEP (symbolic computation system)

In research
SHEEP (symbolic computation system) appears in computer science research whenever the underlying quantities have to be modelled precisely. Papers usually cite it as a starting assumption and then explore where it breaks down.
In technology and industry
Engineering practice reuses SHEEP (symbolic computation system) in design rules, simulations and safety margins. Knowing the idea lets you read a specification sheet and understand why the numbers look the way they do.
In the classroom
SHEEP (symbolic computation system) is common in secondary-school and first-year university syllabi. It links to neighbouring topics Relativity stubs, Tensors, so understanding it makes those chapters shorter.
In everyday life
Look for SHEEP (symbolic computation system) outside the textbook — in sport, cooking, traffic, electronics or the sky above you. An example you found yourself is remembered far longer than one you were given.
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How to study SHEEP (symbolic computation system) in 20 minutes

  1. Read the reference excerpt below once, without taking notes.
  2. Close the page and write down what SHEEP (symbolic computation system) means in your own words.
  3. Compare your version with the excerpt and mark what you missed.
  4. Work through the three examples above with pen and paper.
  5. Explain SHEEP (symbolic computation system) out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is SHEEP (symbolic computation system) in simple terms?

SHEEP is one of the earliest interactive symbolic computation systems. It is specialized for computations with tensors, and was designed for the needs of researchers working with general relativity and other theories involving extensive tensor calculus computations.

Why does SHEEP (symbolic computation system) matter?

Because it connects several computer science ideas at once: it gives you a definition you can apply, a quantity you can calculate, and a way to check whether a result is plausible.

How should I study SHEEP (symbolic computation system)?

Read the excerpt, restate it from memory, then work through the examples and applications listed on this page. The five-step study plan above takes about twenty minutes.

What does this page cover?

It gives you a compact reference excerpt plus original lgStudy explanations, examples, applications and study material on SHEEP (symbolic computation system).

Tags

  • Relativity stubs
  • Tensors

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