mathematical
mathematical — 形容詞
1. related to the study and use of numbers, quantities, shapes, and patterns, or to
數學的
與數學研究或應用有關的
related to the study and use of numbers, quantities, shapes, and patterns, or to the methods and reasoning used in that field.
Hana solved the mathematical equation faster than her classmates.
Hana 比她的同學更快解出了那道數學方程式。
mathematical + noun: equation / formula / problem
The mathematical model was tested against real weather data from last year.
這個數學模型用去年真實的氣象數據進行了驗證。
collocation: mathematical model
Dr. Okafor's mathematical research helped reduce waiting times at the hospital.
Okafor 博士的數學研究幫助減少了醫院的候診時間。
When Bao studied the mathematical proof, he finally understood the theory.
Bao 研讀了那個數學證明後,終於理解了這個理論。
The students used mathematical methods to compare the prices of different phones.
學生們用數學方法比較了不同手機的價格。
- numerical
narrower — focuses only on numbers and counting, not shapes or patterns
- arithmetic
more restricted — relates specifically to basic operations like addition and subtraction
- algebraic
branch-specific — refers to equations and symbols rather than mathematics in general
- non-mathematical
general opposite; not based on or concerned with mathematics
文法句型
mathematical + noun
be + mathematical
用法筆記
Often appears before nouns such as formula, model, problem, equation, or proof. The related noun 'mathematics' is used to name the subject of study itself, while 'mathematical' describes things within or related to that subject.
常見錯誤
2. extremely accurate and exact, similar to the high level of precision found in ma
精確的
極度精確、像數學般準確的
extremely accurate and exact, similar to the high level of precision found in mathematical work.
The pianist's timing showed a mathematical precision that amazed the audience.
那位鋼琴家的節拍展現出數學般的精確度,令觀眾驚嘆不已。
metaphorical: mathematical precision
Diogo arranged the wooden tiles with mathematical accuracy, each one perfectly measured.
Diogo 以數學般的精確度鋪設木瓦,每一片都丈量得完美無缺。
collocation: mathematical accuracy
The laboratory instrument needed mathematical calibration before each test run.
實驗室的儀器在每次測試前都需要經過精確的校準。
There was a mathematical logic to how Nadia organized her books by height and colour.
Nadia 按照高度和顏色排列書籍,其中自有一套精密的邏輯。
The team followed a mathematical sequence when they assembled the engine parts.
團隊按照一套精確的順序裝配引擎零件。
- imprecise
lacking exactness or accuracy
- approximate
roughly correct but not exact
文法句型
mathematical + noun (precision / accuracy / logic)
be + mathematical
用法筆記
Frequently metaphorical — the subject (timing, arrangement, logic) lies outside actual mathematics but is compared to it in terms of extreme exactness. Common with nouns such as precision, accuracy, and logic.
常見錯誤
3. completely certain and not open to any doubt, as if proven by a mathematical arg
確定的
確定無疑、無可爭議的
completely certain and not open to any doubt, as if proven by a mathematical argument.
It is a mathematical certainty that winter follows autumn every year.
秋天過後冬天必定來臨,這是確定無疑的事。
fixed phrase: mathematical certainty
Kofi's promotion seemed like a mathematical certainty after his excellent sales results.
Kofi 在創下優秀的銷售成績後,升遷似乎是確定無疑的事。
collocation: mathematical certainty
The engineer stated that the building's failure was a mathematical impossibility under normal use.
工程師指出,在正常使用情況下這棟建築物倒塌是數學上不可能發生的事。
Leila considered her team's victory a mathematical certainty with their two-goal lead.
Leila 認為以兩球的領先優勢,她們球隊的勝利已是確定無疑的事。
- certain
less emphatic; does not carry the flavour of absolute proof
- unquestionable
similar strength but used in moral or evidential contexts as well
- indisputable
formal; emphasises that no reasonable argument can challenge the claim
文法句型
a / the + mathematical + certainty
a / the + mathematical + impossibility
用法筆記
Almost always appears in the fixed phrases 'mathematical certainty' and 'mathematical impossibility.' These are emphatic statements of absolute certainty or impossibility, not literal mathematical claims.