binomial theorem (Meaning)
Wordnet
binomial theorem (n)
a theorem giving the expansion of a binomial raised to a given power
Synonyms & Antonyms of binomial theorem
No Synonyms and anytonyms found
binomial theorem Sentence Examples
- 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.
- The binomial theorem allows us to find the coefficients of each term in the expansion.
- The mathematician derived the coefficients of the terms using Pascal's triangle in the binomial theorem.
- Engineers utilize the binomial theorem in various fields, including signal processing and circuit analysis.
- The computer scientist implemented algorithms based on the binomial theorem for efficient computations.
- Researchers in statistics use the binomial theorem to derive probability distributions for discrete random variables.
- 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.
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