googolplex

Thân thiện

A mathematician writes the number googolplex on a large chalkboard.

Definition

1. Noun:
   • An extremely large number: A "googolplex" is the cardinal number represented by the numeral 1 followed by a googol of zeros. It is mathematically defined as 10 raised to the power of a googol (10^(10^100)).

Usage

• The word "googolplex" is used almost exclusively in mathematical, theoretical, or illustrative contexts to denote an unimaginably large quantity. It is not used for practical counting or measurement.
• It functions as a singular noun (e.g., , ).

Examples

• Noun:
  • The number of possible chess games is estimated to be far greater than a googolplex.
  • A googolplex is so large that writing it out in standard decimal notation is physically impossible in the known universe.
  • He used the concept of a googolplex to explain the limits of physical computation.

Advanced Usage

• "Googolplexian": An informal, humorous extension meaning 10 raised to the power of a googolplex (10^(googolplex)). This term is not standard in formal mathematics but is used in popular discussions of large numbers.
• The term is often used metaphorically to describe any quantity that is effectively infinite for all practical purposes.
  • The chances of that happening are about one in a googolplex.

Variants and Related Words

• Googol (noun): The number 10^100, or 1 followed by 100 zeros. A googolplex is 10^(googol).
• Googolplexth (adjective): A hypothetical ordinal form (e.g., the digit), though its use is extremely rare and non-standard.

Synonyms

• Astronomical number: A very large number (though vastly smaller than a googolplex).
• Incalculable number: A number too large to be calculated or comprehended.

Notes on Meaning

• The primary and essentially only meaning of "googolplex" is the specific, defined astronomically large number. It does not have other common definitions or uses outside of this context. Its power lies in its use as a symbol for an unfathomably large quantity.

Học thuật

Noun

1. a cardinal number represented as 1 followed by a googol of zeros (ten raised to the power of a googol)