logarithm
含义: The power to which a base number must be raised to produce a given number. For example, the logarithm of 1000 to base 10 is 3.
Logarithms are the inverse operation of exponentiation and are fundamental in science, engineering, and computing. Common logarithms use base 10, whilst natural logarithms use the constant e (approximately 2.718). The term is often shortened to 'log' in notation. Logarithmic scales are used to represent data spanning many orders of magnitude, such as the Richter scale for earthquakes or the decibel scale for sound.
例句
- The logarithm of 100 to base 10 is 2, since 10 squared equals 100. 以10为底100的对数是2,因为10的平方等于100。El logaritmo de 100 en base 10 es 2, ya que 10 al cuadrado es igual a 100.10を底とする100の対数は2です。なぜなら10の2乗は100に等しいからです。10을 밑으로 한 100의 로그는 2입니다. 10의 2제곱이 100이기 때문입니다.
- Scientists use logarithms to convert multiplicative relationships into additive ones for easier analysis. 科学家利用对数将乘法关系转换为加法关系,以便于分析。Los científicos utilizan los logaritmos para convertir las relaciones multiplicativas en aditivas y facilitar el análisis.科学者は対数を使って掛け算の関係を足し算の関係に変換し、分析を容易にしています。과학자들은 로그를 사용하여 곱셈 관계를 덧셈 관계로 변환하여 분석을 용이하게 합니다.
- He struggled with logarithms until his teacher explained them as the reverse of raising a number to a power. 他一直对对数感到困惑,直到老师将其解释为将一个数升幂的逆运算。Le costaban los logaritmos hasta que su profesor se los explicó como la operación inversa de elevar un número a una potencia.彼は対数が苦手でしたが、先生が累乗の逆演算だと説明してくれてようやく理解できました。그는 로그를 어려워했지만, 선생님이 거듭제곱의 역연산이라고 설명해 주면서 비로소 이해할 수 있었습니다.
发音
用法指南
语境: academic, scientific
语气: neutral
起源与历史
Coined in 1614 by Scottish mathematician John Napier from Greek logos (ratio, reckoning) and arithmos (number), literally meaning 'ratio number.'
文化背景
Era: Modern
Generation: All ages
Social background: Universal
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