binomial theorem Synonyms

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binomial theorem Meaning

Wordnet

binomial theorem (n)

a theorem giving the expansion of a binomial raised to a given power

binomial theorem Sentence Examples

  1. The binomial theorem states the expansion of a binomial raised to a positive integer power.
  2. Mathematicians often use the binomial theorem to simplify algebraic expressions.
  3. In calculus, the binomial theorem plays a crucial role in Taylor series expansions.
  4. Students learn to apply the binomial theorem when expanding expressions like (a + b)^n.
  5. The binomial theorem allows us to find the coefficients of each term in the expansion.
  6. The mathematician derived the coefficients of the terms using Pascal's triangle in the binomial theorem.
  7. Engineers utilize the binomial theorem in various fields, including signal processing and circuit analysis.
  8. The computer scientist implemented algorithms based on the binomial theorem for efficient computations.
  9. Researchers in statistics use the binomial theorem to derive probability distributions for discrete random variables.
  10. Understanding the binomial theorem is fundamental for solving problems in fields such as physics, economics, and engineering.

FAQs About the word binomial theorem

a theorem giving the expansion of a binomial raised to a given power

No synonyms found.

No antonyms found.

The binomial theorem states the expansion of a binomial raised to a positive integer power.

Mathematicians often use the binomial theorem to simplify algebraic expressions.

In calculus, the binomial theorem plays a crucial role in Taylor series expansions.

Students learn to apply the binomial theorem when expanding expressions like (a + b)^n.