Superfactorial | Summary and Q&A

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November 19, 2019
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blackpenredpen
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Superfactorial

TL;DR

Super factorial and hyper factorial are special mathematical calculations that have multiple definitions and connections, resulting in fascinating properties and relationships.

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Questions & Answers

Q: What is the difference between super factorial and hyper factorial?

Super factorial involves multiplying a number by all the smaller integers below it, including negative numbers, while hyper factorial raises a number to the power of itself and the smaller integers below it.

Q: Are there multiple definitions and notations for super factorial and hyper factorial?

Yes, both super factorial and hyper factorial have multiple definitions and notations, with some published in 1995.

Q: What is the result when multiplying the super factorial and hyper factorial?

When multiplying the super factorial and hyper factorial, the result is the factorial of the previous calculation raised to the power of the hyper factorial.

Q: Are there any special properties or relationships associated with super factorial and hyper factorial?

Super factorial and hyper factorial have fascinating properties and connections with each other and factorial calculations, leading to interesting mathematical relationships and patterns.

Summary & Key Takeaways

  • Super factorial involves multiplying a number by all the smaller integers below it, including negative numbers, resulting in a factorial with additional factors. Hyper factorial, on the other hand, raises a number to the power of itself and the smaller integers below it.

  • Both super factorial and hyper factorial have various definitions and notations, published in 1995.

  • When multiplying the super factorial and hyper factorial, the result is the factorial of the previous calculation raised to the power of the hyper factorial.

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