coefficient
coefficient — 名詞
- coefficientsingular
- coefficientsplural
1. In algebra, a number or symbol that is written before a variable and tells you h
係數；乘數
乘在變數前的常數
In algebra, a number or symbol that is written before a variable and tells you how many times that variable is included in a term. For instance, in the expression 4y, the coefficient 4 shows that y is taken four times.
In the equation 5x + 3 = 18, the coefficient of x is the number 5.
在 5x + 3 = 18 這個方程式中，x 的係數是 5。
coefficient of [variable] before an equals sign
Theo noticed that the term 9b² has a coefficient of 9.
Theo 注意到 9b² 這一項的係數是 9。
coefficient in a squared term
A variable that stands alone, like c in c − 7, has a coefficient of 1.
單獨出現的變數，例如 c − 7 中的 c，其係數為 1。
When Leila added 2a and 3a, she first added the coefficients to get 5a.
Leila 在合併 2a 和 3a 時，先把係數相加得到 5a。
adding coefficients of like terms
A negative coefficient, such as −6 in −6m, changes the sign of the whole term.
負係數（如 −6m 中的 −6）會改變整個項的正負號。
- leading coefficient
- numerical coefficient
- negative coefficient
- positive coefficient
- coefficient of x
- multiplier
Emphasises the multiplying function; less common in classroom algebra, more used in statistics and economics.
- factor
Broader term — any number that divides into or combines with others; not specific to the number in front of a variable.
- numerical factor
Formal phrasing; used in textbooks to distinguish the number from the variable part of a term.
文法句型
coefficient of [variable]
用法筆記
Often appears with 'of' followed by the variable: ‘the coefficient of x’. A variable with no written number has an implied coefficient of 1.
常見錯誤
2. A number used in science and engineering to express how much of a specific physi
係數
物質特性的量度數值
A number used in science and engineering to express how much of a specific physical property a material or system has. Examples include the coefficient of friction between two surfaces and the coefficient of thermal expansion of a metal.
The friction coefficient between rubber tyres and dry asphalt is roughly 0.9.
橡膠輪胎在乾燥柏油路上的摩擦係數約為 0.9。
friction coefficient + material pair
Engineers calculated the thermal expansion coefficient of steel before building the railway track.
工程師在鋪設鐵軌前，先計算了鋼鐵的熱膨脹係數。
A car with a low drag coefficient uses less fuel at high speed.
低風阻係數的汽車在高速行駛時較省油。
drag coefficient in vehicle design
Hana recorded the absorption coefficient of each fabric sample in her laboratory notebook.
Hana 在實驗室筆記本上記錄了每塊布料的吸收係數。
The safety coefficient of a climbing rope tells you its extra strength beyond normal loads.
攀岩繩索的安全係數顯示了它在正常負荷之外有多餘的強度。
safety coefficient + real-world application
- friction coefficient
- drag coefficient
- coefficient of expansion
- coefficient of restitution
- absorption coefficient
- safety coefficient
- temperature coefficient
文法句型
coefficient of [property]
[property] coefficient
用法筆記
Most commonly appears in compound terms such as 'friction coefficient' or 'coefficient of expansion'. Each scientific field has its own specific coefficients with standard symbols.
常見錯誤
常見搭配
名詞搭配
- correlation coefficient
- coefficient value
- coefficient estimate
常用片語
- coefficient of determination
- coefficient of friction
- coefficient of expansion
- coefficient of restitution
- coefficient of variation
介系詞搭配
- coefficient of