divergence
/daɪˈvɜːdʒəns/ (bre, ipa) · /daɪˈvɜːrdʒəns/ (ame, ipa) · /də-ˈvər-jən(t)s dī-/ (ame, mw)
divergence — 名詞
- divergencesingular
- divergencesplural
1. The process by which two or more things grow increasingly different from each ot
分離；分化
事物之間逐漸變得不同的過程
The process by which two or more things grow increasingly different from each other over time, moving further apart in character, direction, or value.
Fatou studied how the divergence of the two bird species happened over millions of years.
Fatou 研究了這兩種鳥類在數百萬年間的分化過程。
divergence of + plural noun for things growing apart
The divergence between Priyanka's career path and her brother's surprised the whole family.
Priyanka 和弟弟的職業道路差異之大，讓全家人都感到意外。
Engineers measured a sudden divergence in the beam's position from the planned alignment.
工程師測量到橫樑位置突然偏離了原本的對齊線。
Hiroshi watched the slow divergence of the two boats as they drifted on the lake.
Hiroshi 看著兩艘小船在湖面上隨波逐流，緩緩分開。
- separation
more neutral; can refer to a single event rather than a gradual process
- split
sharper and often irreversible; suggests a clean break rather than slow drifting
- gap
names the resulting distance, not the movement that created it
- convergence
the process of coming together or becoming more similar
用法筆記
Frequently paired with 'between' to name the two entities growing apart. Distinguish from sense 3 ('DEPARTURE FROM NORM'): here the focus is on two or more things moving away from EACH OTHER, not one thing straying from a fixed standard.
2. A gap or split between the opinions, beliefs, or positions held by different peo
意見分歧
人們在看法或立場上的明顯差距
A gap or split between the opinions, beliefs, or positions held by different people or groups, where their views no longer align and they see a question from incompatible angles.
A sharp divergence of opinion between Dmitri and his boss led to a tense meeting.
Dmitri 和老闆之間的尖銳意見分歧，導致了一場氣氛緊張的會議。
divergence of opinion — core collocation for this sense
The divergence in religious beliefs caused strain between Ingrid and her extended family.
宗教信仰上的分歧使 Ingrid 和她的大家族之間關係變得緊張。
Kwame noted the wide divergence between what the company promised and what it delivered.
Kwame 注意到公司承諾與實際交付之間存在著巨大落差。
There was a clear divergence among the committee members about how to spend the grant.
委員會成員對於如何使用這筆補助金，存在著明顯的意見分歧。
- disagreement
more direct and everyday; implies active opposition rather than a measured gap
- difference
more neutral and broad; covers any kind of dissimilarity, not only views
- rift
stronger and more emotional; suggests a relationship damaged by the split
用法筆記
Subject is usually a group, institution, or pair of parties. The divergence itself is the gap — not the act of arguing. More formal than 'disagreement' and often implies a measurable gap in views rather than a heated quarrel.
常見錯誤
3. A move away from an expected path, established pattern, or accepted way of doing
偏離常軌
偏離預期、標準或常規的情況
A move away from an expected path, established pattern, or accepted way of doing things — straying from a reference point that others follow or that was set in advance.
The inspector flagged a significant divergence from the safety regulations at the factory.
檢查員指出工廠存在明顯偏離安全規範的情況。
divergence from + standard/regulation — core pattern for this sense
Yara's experimental results showed a sharp divergence from what the textbook predicted.
Yara 的實驗結果與教科書所預測的出現了很大的偏離。
Any divergence from the approved budget must be explained in writing to the finance team.
任何偏離已核准預算的開支，都必須向財務團隊提出書面說明。
Mateo's teaching style was a refreshing divergence from the rigid methods used at the school.
Mateo 的教學風格跳脫了學校僵化的方法，令人耳目一新。
- conformity
adherence to the expected standard or norm
- compliance
following rules or standards exactly
用法筆記
Almost always followed by 'from' + the standard, norm, or expectation. Distinguish from sense 1 ('GROWING APART'): here one thing departs from a FIXED REFERENCE, whereas sense 1 involves two or more things moving apart from each other.
常見錯誤
4. The property of a sequence or infinite series whose terms do not approach any si
發散
數列或級數不收斂到有限值
The property of a sequence or infinite series whose terms do not approach any single finite number, so the sum either grows without bound or oscillates indefinitely rather than settling on a limit.
The student proved the divergence of the harmonic series using a simple comparison test.
這名學生用簡單的比較檢驗法證明了調和級數的發散性。
divergence of + [mathematical series name]
Chen demonstrated that the divergence of the infinite sum meant it had no finite value.
Chen 證明了這個無窮級數的發散，意味著它沒有有限值。
In her maths lecture, Amara explained why the divergence of certain sequences matters in physics.
Amara 在數學課上解釋了為什麼某些數列的發散在物理學中很重要。
Artem wrote the partial sums on the board to demonstrate the divergence of the sequence.
Artem 在黑板上寫出部分和，以展示該數列的發散性。
- divergency
technical synonym, less common even in mathematics
- convergence
the property of approaching a finite limit
用法筆記
Restricted to technical mathematical contexts. In everyday English, rephrase with 'does not approach a limit' or 'grows without bound' rather than using 'divergence.'