binomial

"binomial"的音标是[baɪˈnɒmɪəl]，基本翻译为“二项式”或“二名法”。

速记技巧：可以将该词拆解为"bi"（二）和"nomial"（名词），以此来快速记忆。同时，也可以利用词根词缀来记忆，其中"bi"表示"二"，"nomial"表示“名称的，名字的”。

binomial这个词源自拉丁语，意为“两个”，这个词用来描述二项式概率计算。它的变化形式包括复数binomials，过去式binomiated，现在分词binomializing，以及形容词binomial。

相关单词：binomial coefficient（二项式系数），binomial theorem（二项式定理），binomial distribution（二项分布），binomial process（二项过程），binomial tree（二项树），binomial coefficient table（二项式系数表），binomial coefficient method（二项式系数法），binomial method（二项式法），binomial model（二项式模型），binomial series（二项式级数）。

这些词在描述数学中的二项式问题时非常有用，例如在概率论、统计学和计算机科学等领域。二项式问题涉及到两个可能结果的独立试验，通过这些试验可以形成许多相关的词汇，帮助我们更深入地理解和解决实际问题。

常用短语：

1. binomial coefficient

2. binomial distribution

3. binomial theorem

4. binomial model

5. binomial search

6. binomial coefficient problem

7. binomial sequence

例句：

1. The binomial coefficient tells us how many ways we can choose two items from a set of n items.

2. In a binomial distribution, the probability of success is fixed, while the number of trials is variable.

3. In a binomial model, we assume that the probability of success is independent of the number of trials.

4. In a binomial search, we try different values and observe the results.

5. The binomial theorem allows us to calculate the probability of a sum of events using a single formula.

6. The binomial sequence is a sequence of numbers that can be generated using a simple formula.

7. The binomial coefficient problem is a mathematical puzzle that requires us to find the value of a binomial coefficient given certain conditions.

英文小作文：

The Binomial Theorem: A Simple Explanation

The binomial theorem is a mathematical formula that allows us to calculate the probability of a sum of events using a single formula. It is often used in physics, chemistry, and other areas where probability and statistics are important.

The formula looks like this: (a + b)n = C0a + C1a+1b + C2a+2b + ... + Cn-1am + Cnbn, where Cm is the binomial coefficient, which tells us how many ways we can choose m items from a set of n items.

The beauty of the binomial theorem is that it allows us to simplify complex calculations and make predictions more accurately. It is a powerful tool that can help us understand and solve problems in different fields.