mathematics

Inverse Symbolic Calculator

Inverse Symbolic Calculator is a mathematics 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 Inverse Symbolic Calculator rather than just read about it. In short: The Inverse Symbolic Calculator is an online number checker established July 18, 1995 by Peter Benjamin Borwein, Jonathan Michael Borwein and Simon Plouffe of the Canadian Centre for Experimental and Constructive Mathematics (Burnaby, Canada). A user will input a number and the Calculator will use an algorithm to search for and calculate closed-form expressions or suitable functions that have roots near this number.

Key takeaways

Inverse Symbolic Calculator belongs to mathematics; place it in that map before memorising details.
Learn the definition first, then one example that makes the definition concrete.
Connect Inverse Symbolic Calculator to a quantity you can measure, compute or draw — that is where exam questions come from.
Reproduce the core statement of Inverse Symbolic Calculator from memory before moving on to harder problems.

Reference excerpt

The Inverse Symbolic Calculator is an online number checker established July 18, 1995 by Peter Benjamin Borwein, Jonathan Michael Borwein and Simon Plouffe of the Canadian Centre for Experimental and Constructive Mathematics (Burnaby, Canada). A user will input a number and the Calculator will use an algorithm to search for and calculate closed-form expressions or suitable functions that have roots near this number. Hence, the calculator is of great importance for those working in numerical areas of experimental mathematics. The ISC contains 54 million mathematical constants. Plouffe's Inverter (opened in 1998) contains 214 million. A newer version of the tables with 3.702 billion entries (as of June 19, 2010) exists. In 2016, Plouffe released a portable version of Plouffe's Inverter containing 3 billion entries.

Literature John Conway, Richard K. Guy: Zahlenzauber (The Book of Numbers), End of Chapter 1 about Numbers in languages. Birkhäuser, 1997, ISBN 3-7643-5244-2.

See also On-Line Encyclopedia of Integer Sequences

References

External links Inverse Symbolic Calculator Inverse Symbolic Calculator 2.0 (does not load) Plouffe's Inverter (archive) Portable version of the Plouffe Inverter Archived 2016-09-17 at the Wayback Machine (leads to a not found page) Robert Munafo's RIES, a similar C program. RIES Online, a website for running RIES in the browser.

Worked examples

Example 1 — a first encounter with Inverse Symbolic Calculator

Start with the simplest possible case. Write down what Inverse Symbolic Calculator claims or describes in one sentence, then invent the smallest concrete situation in which that sentence is true. In mathematics, 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 Inverse Symbolic Calculator 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 Inverse Symbolic Calculator 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 Inverse Symbolic Calculator

In research: Inverse Symbolic Calculator appears in mathematics 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 Inverse Symbolic Calculator 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: Inverse Symbolic Calculator is common in secondary-school and first-year university syllabi. It links to neighbouring topics Applied mathematics stubs, Experimental mathematics, Internet properties established in 1995, so understanding it makes those chapters shorter.
In everyday life: Look for Inverse Symbolic Calculator 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.

Ask Teacher Smith questions about this articleOpens your AI tutor with a question about “Inverse Symbolic Calculator” →

Affiliate

Preply — study more efficiently by working with a personal tutor. 50% off.

How to study Inverse Symbolic Calculator in 20 minutes

Read the reference excerpt below once, without taking notes.
Close the page and write down what Inverse Symbolic Calculator means in your own words.
Compare your version with the excerpt and mark what you missed.
Work through the three examples above with pen and paper.
Explain Inverse Symbolic Calculator out loud to somebody else — or to Teacher Smith in the lgStudy chat.

Frequently asked questions

What is Inverse Symbolic Calculator in simple terms?

Why does Inverse Symbolic Calculator matter?

Because it connects several mathematics 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 Inverse Symbolic Calculator?

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 Inverse Symbolic Calculator.