commensurable
/kəˈmen.ʃə.rə.bəl/ (bre, ipa) · /kəˈmen.sjɚ.ə.bəl/ (ame, ipa) · /kə-ˈmen(t)s-rə-bəl -ˈmen(t)sh-; -ˈmen(t)-sə- -shə-/ (ame, mw)
commensurable — 形容詞
- commensurablepositive
- more commensurablecomparative
- most commensurablesuperlative
1. when two things can be evaluated or measured using the same standard, so a meani
同標準比較
能以相同標準衡量或比較的
when two things can be evaluated or measured using the same standard, so a meaningful comparison between them is possible
Jiyeon found the two job offers were not commensurable — one promised flexible hours, the other offered much higher pay.
Jiyeon 發現兩份工作機會無法同標準比較——一份承諾彈性工時，另一份則提供高得多的薪水。
negative pattern: not commensurable for unlike things
Dr. Okafor argued that student happiness and exam results are not commensurable measures of a school's success.
Okafor 博士認為學生的快樂與考試成績，無法用相同標準來衡量一所學校的成功。
Dr. Nkosi judged the two fellowship applications not commensurable — one stressed fieldwork in rural clinics, the other published research.
Nkosi 博士判斷兩份研究獎學金申請無法同標準比較——一份看重偏鄉診所的實地經驗，另一份則看重發表論文。
Hadi insisted that the risks of the new drug were not commensurable with its modest benefits.
Hadi 堅持認為新藥的風險與其有限的益處，無法放在同一個尺度上衡量。
Before launching the trial, Keiko confirmed the two patient groups were commensurable in age, weight, and blood pressure.
試驗開始前，Keiko 確認兩組病患在年齡、體重和血壓方面可以同標準比較。
- comparable
more common and less formal; does not imply a shared measuring standard
- commensurate
means proportional or matching in degree, not measurable by the same yardstick
- equivalent
means equal in value or function, which is stronger than merely sharing a standard of measurement
- incommensurable
direct opposite — impossible to measure or compare by a common standard
文法句型
not commensurable
commensurable with
commensurable in
用法筆記
Nearly always used in negative constructions (not commensurable) to deny that a fair comparison can be made. Distinguish from sense 2, which is a technical term used only in mathematics.
常見錯誤
2. in mathematics, describes two or more numbers, lengths, or quantities that share
可公度的
數學上可用同一單位整除的數值
in mathematics, describes two or more numbers, lengths, or quantities that share a common unit which divides each of them exactly, leaving no remainder
Wei explained that 12 and 18 are commensurable because both can be divided evenly by 6.
Wei 解釋 12 與 18 是可公度的，因為兩者都能被 6 整除。
commensurable because + shared divisor
The ancient Greeks discovered that the diagonal of a square is not commensurable with its side.
古希臘人發現正方形的對角線與其邊長不可公度。
historical usage: not commensurable with in geometry
Idris showed that 9 cm and 12 cm are commensurable: a 3 cm piece divides both exactly.
Idris 示範了 9 公分和 12 公分是可公度的——一條 3 公分的線段能整除兩者。
Fatima's maths teacher showed the class that 0.75 and 1.25 are commensurable, sharing a common unit of 0.25.
Fatima 的數學老師向全班示範 0.75 與 1.25 是可公度的，共享 0.25 這個共同單位。
Ms. Chatterjee handed Mei a ruler and asked her to check whether the 18-cm and 24-cm lines were commensurable.
Chatterjee 老師遞給 Mei 一把尺，請她檢查 18 公分與 24 公分的線段是否可公度。
- commensurate
in its rare mathematical sense, also describes quantities that share a unit divisor, but in everyday use means proportional
- incommensurable
describes quantities that share no common unit of measurement (e.g., the side and diagonal of a square)
文法句型
commensurable numbers
commensurable with
用法筆記
Restricted to mathematical and geometrical contexts. Do not confuse with 'commensurate', which describes proportionality in degree or extent rather than a shared divisor.