EN： The clause 'what it describes as a landmark breakthrough' functions as a fused (or nominal) relative clause acting as the direct object of 'announced'. The relative pronoun 'what' contains both the antecedent and relative marker (= 'that which'). In journalistic style, inserting attribution like 'it describes as...' distances the reporter from making an absolute factual assertion about the claim's validity.
中文： 子句「what it describes as a landmark breakthrough」為名詞性關係子句（nominal relative clause），在句中作為動詞「announced」的受詞。「what」相當於「that which / the thing which」。在新聞英語中，插入「it describes as...」（其稱之為……）的表述，能使報導者與該聲明保持客觀距離，不對其真實性做出絕對擔保。
The company unveiled what critics consider a flawed strategy.
該公司公佈了一項被評論家認為有缺陷的策略。
EN： The present participle phrase 'claiming that...' functions as an adverbial participle clause indicating an accompanying circumstance or result. It modifies the subject 'OpenAI' and explains what OpenAI is simultaneously asserting while making the announcement. Within this participle clause, 'that' introduces a subordinate noun clause containing the reported claim.
中文： 現在分詞短語「claiming that...」作為伴隨狀語的分詞構句（participle clause），修飾主詞「OpenAI」，說明主體在宣佈時所伴隨的陳述內容。分詞引導的受詞名詞子句「that...」則詳細陳述宣稱的具體內容。
The scientists published their results, arguing that previous models were insufficient.
科學家們發表了他們的成果，主張先前的模型並不完備。
EN： The present perfect tense 'has announced' anchors a recent past event to the present news cycle, whereas the dependent perfect 'have resolved' indicates an achievement completed prior to the announcement whose effects are relevant now. Notice the shift in perspective: the reporting action uses singular 'has' for OpenAI (treated as a singular entity), and the claim internally uses plural 'have' matching 'systems'.
中文： 「has announced」使用現在完成式，將剛發生的事件帶入當下的新聞語境；而名詞子句中的「have resolved」則表示在宣佈前已經完成、且對當前具重大影響的成就。此外，機構主體「OpenAI」視為單數搭配「has」，而從屬子句中複數主詞「systems」則搭配複數動詞「have」。
The laboratory has published a study claiming that its researchers have synthesized the elusive compound.
該實驗室發表了一項研究，宣稱其研究人員已合成了該罕見化合物。
EN： The Navier-Stokes existence and smoothness problem is one of the seven Millennium Prize Problems announced by the Clay Mathematics Institute in 2000, each carrying a US$1 million reward. Mathematical breakthroughs of this caliber typically require years of peer-reviewed verification. High-profile claims by tech companies to have solved foundational mathematical conjectures using machine learning often attract intense international scrutiny.
中文： 納維-斯托克斯存在性與光滑性問題是克雷數學研究所於 2000 年公佈的七大千禧年大獎難題之一，每題懸賞一百萬美元。此等級別的數學突破通常需要經過學界同儕數年的嚴謹審查。科技公司聲稱利用機器學習解決基礎數學猜想，往往會引發國際科學界的高度關注與嚴格檢視。
EN： A non-defining relative clause (introduced by 'which' and set off by commas) provides supplementary, non-essential information about the antecedent ('The problem'). Because it is non-restrictive, 'that' cannot replace 'which'.
中文： 非限定子句（由逗號隔開、以 'which' 引導）用來為先行詞（'The problem'）提供補充說明，而非用來界定或限定其身分。在非限定子句中不可用 'that' 取代 'which'。
The theorem, which had eluded proof for decades, was finally solved using novel computational methods.
該定理困擾了數十年的證明，最終透過新穎的計算方法得以解決。
EN： The past participle phrase 'designated by...' functions as a reduced relative clause modifying 'Millennium Prize Problems' (short for 'which were designated by...').
中文： 過去分詞片語 'designated by...' 在此作為後位修飾語，修飾名詞片語 'Millennium Prize Problems'，相當於關係子句 'which were designated by...' 的省略形式。
The standards established by the international committee are strictly observed worldwide.
由該國際委員會所制定的標準在世界各地皆受到嚴格遵守。
EN： The 'Millennium Prize Problems' are seven of the most renowned and difficult unsolved mathematical questions, established in 2000 by the Clay Mathematics Institute in Cambridge, Massachusetts. Each problem carries a US$1 million prize for a verified solution, highlighting the profound significance of claims regarding the Navier-Stokes problem.
中文： 「千禧年大獎難題」是克雷數學研究所於 2000 年設立的七個著名數學未解難題。凡證明或反駁其中任何一個難題者，皆可獲得高達 100 萬美元的獎金。因此，任何聲稱解決納維-斯托克斯方程式難題的消息，都會在學術界引發極大的轟動與嚴格審查。
EN： The introductory prepositional phrase 'According to + noun/noun phrase' serves as a sentence adverbial (evidentials) to attribute information to an external source, maintaining journalistic objectivity.
中文： 「According to + 名詞／名詞短語」作為句首介系詞短語，發揮句子狀語（言據性標記）的功能，用以客觀引述外部消息來源，常見於新聞及學術寫作以體現中立立場。
According to the official report, several international experts contributed to the investigation.
據官方報告稱，數名國際專家參與了該項調查。
EN： The present participle clause ', arriving at a solution...' functions as an adverbial participle of result or concurrent outcome, sharing the subject 'approximately 10,000 AI systems' with the main clause.
中文： 句末的現在分詞短語「, arriving at a solution...」屬於伴隨／結果狀語分詞子句，與主句共用主詞「approximately 10,000 AI systems」，簡潔地表達主句動作帶來的連帶成果或自然發展。
The scientists tested hundreds of compounds, eventually finding a viable candidate.
科學家測試了數百種化合物，最終找到了一種可行的候選物質。
EN： The intransitive verb 'collaborate' typically pairs with the preposition 'on' to denote the project, task, or endeavour being worked on ('collaborate on something').
中文： 不及物動詞「collaborate」通常與介系詞「on」搭配（collaborate on sth），用來明確指出眾人共同參與或致力進行的具體計畫、任務或工作項目。
Engineers from both universities collaborated on the autonomous vehicle project.
兩所大學的工程師合作進行了這項自動駕駛汽車專案。
EN： The spelling 'endeavour' reflects British/international English editorial standards (often adopted by prestigious global publications like The Economist or The Guardian), contrasting with the American English spelling 'endeavor'. In journalistic prose, attributing claims via 'According to...' rather than asserting them directly as facts is crucial, especially when covering dramatic, contested claims such as solving century-old mathematical prizes in unprecedented record time.
中文： 單詞「endeavour」採用英式拼寫（美式為「endeavor」），常見於《經濟學人》等國際主流媒體。在新聞倫理中，對於此類號稱在短短數十小時內解決百年世紀數學難題的巨大成就，使用「According to the company」（據該公司稱）進行來源歸屬是關鍵客觀處理手法，能與未經獨立驗證的主張保持適當距離。
EN： The idiomatic participial phrase 'mired in (something)' derives from the noun 'mire' (deep, wet mud). Figuratively, it describes a situation, person, or organization trapped, bogged down, or entangled in an intractable difficulty, scandal, or controversy, unable to make easy progress.
中文： 成語性分詞片語「mired in (something)」源自名詞「mire」（泥潭、深泥）。在比喻用法中，它形容某種情況、個人或機構深陷、受困於棘手的困境、醜聞或爭議之中，動彈不得且難以脫身。
The ongoing infrastructure project has become mired in bureaucratic delays and funding disputes.
該進行中的基礎建設計畫已深陷於官僚體制的延宕與資金爭議之中。
EN： The linking verb 'become' is paired here with the present perfect tense ('has become') to indicate a transition into a new state that has occurred recently and bears relevance to the present narrative moment. The adverb 'swiftly' is placed between the auxiliary 'has' and the lexical participle 'become'—a canonical position for adverbs of manner in formal register.
中文： 連綴動詞「become」搭配現在完成式（「has become」），表示轉入某種新狀態，且該狀態剛發生不久、與當前的敘事脈絡密切相關。副詞「swiftly」（迅速地）置於助動詞「has」與主要分詞「become」之間，這是正式文體中情態副詞的標準位置。
The diplomatic summit has quickly deteriorated into an exchange of mutual recriminations.
這場外交峰會迅速惡化為互相指責的局面。
EN： In journalistic and academic reporting, the phrase 'mired in controversy' is a frequent idiom used to depict a scenario where scientific claims or corporate announcements face widespread skepticism, conflict of interest disputes, or ethical questions from the scholarly community.
中文： 在新聞報導與學術傳媒語境中，「mired in controversy」（深陷爭議）是常見的慣用語，通常用來描繪某項科學主張或企業重大宣布遭遇了來自學術圈廣泛的懷疑、利益衝突質疑或倫理道德考驗。
EN： The preposition 'upon' (or 'on') followed by a gerund (-ing form) functions as a temporal clause meaning 'as soon as' or 'immediately after' something happens. It indicates that one event occurred as a direct reaction or consequence immediately following another, and is commonly used in formal, academic, and journalistic registers.
中文： 介系詞「upon」（或「on」）後接動名詞（V-ing），相當於「as soon as」或「immediately after」，表示「一……就……」或「在……之後立即」，常用於正式新聞報導或學術寫作，強調某動作或事件在另一事件發生後隨即展開或作為直接反應。
Upon receiving the grant approval, the laboratory commenced Phase II clinical trials.
一收到資助批准函，該實驗室便立即展開第二階段臨床試驗。
EN： The idiom 'be poised to do something' denotes that someone or something is completely ready, fully prepared, or standing on the verge of taking imminent action. It is frequently paired with milestone verbs like 'publish', 'launch', or 'expand'.
中文： 成語片語「be poised to + 原形動詞」表示「準備好隨時……」或「正蓄勢待發即將……」，形容某人或機構處於全面備戰、即刻採取行動的臨界狀態，常與 publish（發表）、launch（推出）、expand（擴展）等動詞搭配。
The tech giant is poised to release its next-generation neural processing chip next month.
這家科技巨頭已蓄勢待發，準備在下個月發布其下一代神經網絡處理晶片。
EN： In complex narrative reporting, backshifting to the past perfect ('had accelerated') signals an event that occurred prior to the main past-tense reporting verb ('argued'). Furthermore, the dependent complement clause inside the prepositional phrase ('upon learning that...') uses the simple past ('were poised') to reflect the ongoing state of readiness at that specific historical moment.
中文： 在新聞敘事體中，主要報導動詞使用過去式（argued）時，其引導的名詞子句使用過去完成式（had accelerated）表示此動作發生在「argued」之前（過去的過去）；而在時間介系詞片語內部的子句（upon learning that...）則使用過去式（were poised），反映在該歷史時間點上處於的即時備戰狀態。
Investigators argued that the firm had concealed safety violations before the regulatory audit began.
調查人員指出，該公司在監管審查開始前就隱瞞了安全違規行為。
EN： In the hyper-competitive world of frontier AI and mathematical research, priority of discovery is paramount. The phrase 'poised to publish' highlights the academic tension surrounding 'scooping'—when one party accelerates their release to preempt and overshadow another team's imminent work. Tristan Buckmaster's affiliation with NYU and his collaborator's link to Anthropic (OpenAI's primary industry rival) add significant institutional stakes to the dispute.
中文： 在前沿人工智慧與頂尖數學研究領域中，「優先發現權」（priority of discovery）至關重要。句中「poised to publish」突顯了學術界對於「搶先發表（scooping）」的敏感神經——即一方加速公布成果，以搶在競爭團隊即將發表的成果之前佔據歷史定位。巴克馬斯特所屬的紐約大學，加上其合作者隸屬於 OpenAI 的主要商業對手 Anthropic，使這場純學術問題增添了極高的產學地緣政治與倫理爭議色彩。
EN： The past perfect passive ('had been stored') is used to indicate an action that was completed before another past event or state in narrative time (Buckmaster's act of emphasizing). Here, it conveys that the research was already stored in Codex prior to the events and discussions taking place.
中文： 過去完成被動式（had been stored）用於表示在過去某個特定動作或時間點（此處為巴克馬斯特進行強調）之前就已經完成的被動行為。這表明在相關討論與事件發生前，該研究資料就已被存放於 Codex 之中。
The whistle-blower stated that the confidential documents had been copied onto an external hard drive months earlier.
該告密者表示，機密文件數月前就已被複製到外接硬碟上了。
EN： A non-defining (or non-restrictive) relative clause introduced by ', which' adds supplementary, non-essential information about the antecedent ('OpenAI's Codex model'). It is separated by a comma and cannot use 'that'.
中文： 由「, which」引導的非限定關係子句，用來對先行詞（此處為「OpenAI 的 Codex 模型」）提供補充性、非核心的說明。此結構必須以逗號隔開，且不可替換為「that」。
She transferred the files to the university's supercomputer, which is reserved exclusively for scientific simulations.
她將檔案傳輸至大學的超級電腦，該電腦專門保留給科學模擬運算使用。
EN： The phrase 'work in progress' (often abbreviated WIP) functions as a compound noun phrase denoting incomplete work that is currently being developed. When placed after a possessive noun ('the pair's'), it specifies unfinished academic or creative output.
中文： 「work in progress」（常縮寫為 WIP）作為複合名詞片語，指「正在進行中、尚未完成的工作或研究」。放在所有格（如「the pair's」）之後，特指某人正在進行中且尚未發表的成果。
The scientists were reluctant to share their work in progress before completing peer review.
科學家們不願意在完成同儕審查之前分享他們進行中的研究成果。
EN： OpenAI's Codex is an AI system that translates natural language into code, powering developer tools such as GitHub Copilot. In cutting-edge mathematical research, mathematicians increasingly rely on automated proof assistants (such as Lean) and AI coding tools to verify complex lemmas. This creates modern ethical dilemmas regarding cloud-stored unpublished manuscripts and intellectual property vulnerabilities in tech platforms.
中文： OpenAI 的 Codex 是一款將自然語言轉換為程式碼的 AI 模型，亦是 GitHub Copilot 等工具背後的技術核心。在現代尖端數學研究中，學者日益仰賴形式化證明輔助工具（如 Lean）及 AI 程式編寫輔助以驗證複雜定理。這引發了關於雲端未發表手稿資料安全性，以及科技巨頭平台在學術智慧財產權爭議上的現代倫理問題。
EN： The modal construction 'could have + past participle' accompanied by the adverb 'potentially' expresses a cautious speculation about a past possibility or an unrealized risk. It emphasizes that while an event or outcome was possible, the speaker is carefully hedging without asserting it as a definitive fact.
中文： 情態助動詞結構「could have + 過去分詞」搭配副詞「potentially」，用於對過去的可能性或未確認的風險表達審慎的推測。這種用法強調該結果或事件在過去「有可能發生」，屬於典型的學術或新聞避險（hedging）語言，避免在證據不足時提出過於武斷的指控。
A security breach could potentially have compromised millions of sensitive user records.
安全漏洞可能已經危及數百萬筆敏感的使用者紀錄。
EN： The parenthetical clause ', he cautioned,' functions as an interpolated reporting clause. In journalistic and narrative registers, splitting the subject and predicate with an interpolated reporting tag creates rhetorical suspense and prioritizes the topical subject ('This arrangement') while clearly attributing tone and stance.
中文： 插入句「, he cautioned,」屬於插入性引述子句（interpolated reporting clause）。在新聞與敘事語體中，將引述主謂結構插入在句子主詞與述語之間，不僅能突顯話題焦點（如本句的「This arrangement」），亦能精準標註說話者的謹慎立場與語氣。
The current economic indicators, analysts warned, could signal a looming market downturn.
分析師警告，當前的經濟指標可能預示著即將到來的市場衰退。
EN： The complex transitive structure 'make + object + adjective' ('made their research visible') uses an adjective as an objective complement describing the resultant state of the direct object. It is often followed by a prepositional phrase ('to OpenAI's team') specifying the recipient or observer.
中文： 複合及物動詞結構「make + 受詞 + 形容詞」（made their research visible）使用形容詞作為受詞補語，用以描繪受詞所處的結果狀態。其後常接介系詞片語（如「to OpenAI's team」），指明感知或觀察的對象。
The transparent policy made internal operations accessible to all stakeholders.
這項透明的政策使內部運作對所有利益相關者都公開透明。
EN： In academic disputes and legal reporting, commentators and scholars rely heavily on hedging devices (e.g., 'cautioned', 'could potentially have'). Rather than leveling direct accusations of plagiarism or corporate espionage—which would incur severe legal liabilities for defamation—speakers frame their concerns as systemic risks or theoretical exposures. This allows them to raise legitimate integrity questions while maintaining a professional, non-defamatory stance.
中文： 在學術爭議與法律相關的新聞報導中，學者與評論家非常依賴「避險語言（hedging）」（如 cautioned、could potentially have）。面對涉及抄襲或企業間諜等嚴肅指控時，若直接宣稱對方竊取研究，容易招致毀謗等法律責任；因此受訪者多半將擔憂描述為「系統性潛在暴露或可能性」，既能有效提出學術誠信的質疑，又維持了克制且專業的立場。
EN： The idiom 'strike a ... tone' means to express a particular attitude, style, or feeling in speech or writing. Here, 'measured' acts as a participial adjective meaning carefully considered, restrained, and deliberate.
中文： 成語「strike a ... tone」意為在言談或行文中「展現／採取某種語調或態度」。「measured」在此處為分詞形容詞，意指「深思熟慮的、審慎克制的、有分寸的」。
The spokesperson struck a conciliatory tone during the press conference to defuse the growing tension.
發言人在記者會上採取了安撫緩和的語調，以平息日益緊張的局勢。
EN： Correlative conjunctions 'neither... nor...' require strict parallel grammatical structure. Here, both elements follow the past continuous auxiliary 'was': 'making accusations' (present participle phrase) and 'claiming certainty' (present participle phrase).
中文： 對等連接詞「neither... nor...」（既不……也不……）要求連接成分在語法結構上保持平行對稱。本句中兩者均接在過去進行式助動詞「was」之後，平行連接兩個現在分詞片語：「making accusations」與「claiming certainty」。
The committee is neither endorsing the proposal nor rejecting it outright.
委員會既沒有正式支持該提案，也沒有斷然予以拒絕。
EN： The past participle phrase 'posted on his website' acts as a reduced relative clause (short for 'which was posted on his website'), post-modifying the noun 'document'. Meanwhile, 'stating that...' is a present participle functioning as an adverbial modifier of attendant circumstance.
中文： 過去分詞片語「posted on his website」為省略的關係子句（源自「which was posted on his website」），作為後位修飾語修飾名詞「document」；而句末的「stating that...」則為現在分詞片語，作為表附帶狀況的狀語修飾主句動作。
In an email sent to the staff, the CEO announced immediate structural changes, emphasizing the need for efficiency.
在發送給全體員工的電子郵件中，執行長宣布了即刻生效的架構調整，並強調了提升效率的必要性。
EN： In academic and scientific disputes, particularly those involving intellectual property or priority of discovery, scholars typically avoid making direct accusations without irrefutable proof. Phrases like 'struck a measured tone' and disclaimers of 'neither making accusations nor claiming certainty' reflect a strategic communicative norm designed to alert the public while safeguarding against defamation liabilities and preserving professional decorum.
中文： 在學術界與科學爭議中（尤其是牽涉智財權或優先發現權的敏感議題），學者在缺乏決定性證據時通常極力避免直接指控。英語新聞中使用「struck a measured tone」（採取審慎克制的語調）以及當事人表明「既非指控亦非斷定」，反映了英美學術及法律文化中既要發出警訊、又要避免誹謗法律責任並維護專業體面的溝通策略。
EN： The sentence features multiple levels of clausal embedding: a reporting matrix clause ('He wrote'), followed by a content clause ('that he did not know...'), which in turn takes two coordinated interrogative content clauses ('whether...' and 'how...') as the objects of 'know'.
中文： 本句展現了多層子句內嵌結構：主句為報導子句（「He wrote」），其後接 that 引導的名詞子句（「that he did not know...」）；而在該子句中，動詞「know」又並列連接了兩個間接疑問子句（由「whether」與「how」引導）作為其受詞。
The committee stated that it had not verified whether the protocol had been observed or how the error had occurred.
委員會表示，他們尚未核實是否遵守了協議，或者該錯誤究竟是如何發生的。
EN： Backshifting and Past Perfect Aspect: Because the matrix reporting verbs ('wrote', 'did not know') are in the past tense, the embedded clauses use the past perfect ('had been utilised', 'had reached') to indicate actions completed prior to that past frame of reference.
中文： 時態倒退（Backshifting）與過去完成式：由於報導動詞（「wrote」、「did not know」）屬於過去式，內嵌子句使用過去完成式（「had been utilised」、「had reached」），表示在過去該參照時間點之前就已經完成的動作。
Investigators suspected that the suspect had fled the country before the warrant was issued.
調查人員懷疑嫌疑人在搜查令簽發之前就已經逃離出境。
EN： In academic and scientific disputes, scholars typically adopt a 'measured tone' (hedging) to raise ethical questions without making premature or legally actionable accusations of plagiarism or corporate espionage. Phrasing like 'did not know whether... or how...' reflects careful legal and professional prudence.
中文： 在學術界與科研爭端中，學者通常會使用謹慎克制的語調（hedging，即模糊限制語），在未取得確鑿法律證據前，避免直接指控剽竊或企業間諜行為。句中使用「did not know whether... or how...」（不知道是否……或如何……）正體現了嚴謹的專業防護性表態。
EN： Inverted Conditional Clause (Hypothetical Subjunctive): 'Were + subject + to-infinitive' is a formal inversion representing a hypothetical future or present condition ('If the allegations were to prove substantiated...'). The conjunction 'if' is omitted, and the auxiliary 'were' moves before the subject, elevating the register to formal, academic, or journalistic prose.
中文： 倒裝假設語氣（Hypothetical Subjunctive）：『Were + 主詞 + to 不定詞』是一種高度正式的條件句倒裝結構，用來替代『If the allegations were to prove substantiated...』。此結構省略了連接詞 if，並將助動詞 were 提前至主詞前，常用於正式公文、學術寫作或嚴肅的新聞報導中。
Were the board to reject the proposal, the CEO would be forced to resign.
倘若董事會否決該提案，執行長將不得不辭職。
EN： Copular Use of 'Prove' with an Adjective / Participle: 'Prove' acts here as a linking verb meaning 'turn out to be'. It can be followed directly by an adjective or a past participle ('substantiated') or optionally with 'to be' ('prove to be substantiated').
中文： 『prove』作為連繫動詞（Linking Verb）的用法：此處 prove 意為『結果是／被證實為』，後方可直接接形容詞或過去分詞（如 substantiated），亦可接不定詞『to be + 分詞／形容詞』，表示事態最終顯現出的狀態。
His initial calculations proved remarkably accurate despite the skepticism.
儘管面臨質疑，他最初的計算結果最終被證明非常準確。
EN： Collocation 'Raise questions about': A fixed academic and journalistic collocation meaning to cause people to doubt, interrogate, or reconsider a concept or practice. Modifiers like 'profound' (deep/significant) and 'ethical' (moral) enhance its gravity.
中文： 動賓搭配『raise questions about』：此為新聞與學術英語中極為常見的搭配，意為『對……引發質疑／提出問題』。常搭配形容詞如 profound（深刻的、重大的）或 serious、grave 等來加強語氣的嚴肅性。
The sudden policy change raised serious questions about the administration's transparency.
這項政策的突然轉變引發了對政府透明度的嚴重質疑。
EN： In academic and scientific reporting, journalists and scholars use hedging devices—such as hypothetical conditionals ('were ... to prove') and restrained nouns ('allegations', 'questions')—to avoid defamation and maintain journalistic neutrality before claims are legally or formally adjudicated.
中文： 在學術界與科技新聞報導中，作者常運用『謹慎語氣／避險語言（hedging）』，例如本句的假設法倒裝（were ... to prove）與中性詞彙（allegations、questions）。這類措辭既能嚴肅探討潛在的倫理危機，又能避免在指控未經司法或正式審查證實前引發法律上的毀謗爭議。
EN： The verb 'deny' takes a 'that'-clause to report the rejection of an allegation. When referring to actions preceding the denial itself, the past perfect tense ('had exploited', 'had accessed') is used to maintain temporal sequence (backshifting).
中文： 動詞「deny」（否認）常接「that」名詞子句來說明否認的具體指控內容。由於被否認的行為發生在「否認（denied）」這個過去動作之前，因此子句中須使用過去完成式（had exploited / had accessed）來體現時間先後順序（過去的過去）。
The spokesperson denied that the administration had withheld any critical evidence from investigators.
發言人否認政府部門曾向調查人員隱瞞任何關鍵證據。
EN： The phrase 'shared with its servers' functions as a reduced relative clause (participial phrase) modifying the noun 'material'. It is elliptical for 'which had been shared with its servers' or 'that was shared with its servers'.
中文： 片語「shared with its servers」為過去分詞片語作後位修飾語，修飾前面的名詞「material」（資料），相當於關係代名詞子句「which had been shared with its servers」的省略簡化結構。
Users should exercise caution regarding any personal information uploaded to public platforms.
使用者應對任何上傳至公開平台的個人資訊保持警惕。
EN： The adverb 'categorically' emphasizes absolute, unambiguous denial. It strongly collocates with verbs like 'deny', 'reject', and 'refute' in formal and journalistic registers.
中文： 副詞「categorically」（斷然地、無條件地）用於強調毫無保留、斬釘截鐵的態度，在新聞與正式語體中極常與「deny」、「reject」、「refute」等動詞搭配使用。
The defense attorney categorically rejected the prosecutor's allegations.
辯護律師斷然駁斥了檢察官的各項指控。
EN： In corporate and legal communications, a 'categorical denial' is a deliberate public relations strategy. By choosing this strong phrasing instead of a qualified response, an organization signals that the allegations are completely unfounded, leaving zero room for interpretation or negotiation in the press.
中文： 在企業公關與法律應對中，「斷然否認（categorical denial）」是一種經過深思熟慮的高強度策略。使用此類毫無保留的措辭，旨在向媒體和大眾傳達指控「毫無事實根據」的明確訊息，不給外界留下任何妥協或猜測的空間。
EN： The sentence contains nested noun clauses (that-clauses). The first 'that' introduces an objective noun clause complement to 'acknowledged' ('that the initiative had been inspired...'). The second 'that' introduces an appositive clause defining the abstract noun 'rumours' ('that two Millennium Prize Problems had been solved').
中文： 本句包含雙層名詞性從句（that 子句）。第一個「that」引導名詞子句作為「acknowledged」的賓語（即「that the initiative had been inspired...」）；第二個「that」引導同位語從句，具體補充說明抽象名詞「rumours」的內容（即「that two Millennium Prize Problems had been solved」）。
The committee confirmed rumours that the proposed policy had been revised.
委員會證實了擬議政策已獲修訂的傳聞。
EN： Past perfect passive ('had been inspired', 'had been solved') is used to describe actions completed before another past event ('acknowledged'). This sequential backshifting is essential in formal narrative reporting to clarify chronology.
中文： 過去完成時被動語態（「had been inspired」與「had been solved」）用來表示在過去某一動作（「acknowledged」）之前就已經發生的被動行為。在正式新聞報導敘事中，這種時態倒退（backshifting）對於釐清事件的先後順序至關重要。
He admitted that his breakthrough had been aided by previous discoveries.
他承認他的突破得到了先前發現的助益。
EN： The 'Millennium Prize Problems' are seven of the most difficult and celebrated unsolved problems in mathematics, stated by the Clay Mathematics Institute in 2000. Each carries a US$1 million prize. Mentioning them signals the pinnacle of mathematical challenge and underscores why any claim or leak regarding their solution attracts worldwide academic scrutiny.
中文： 「千禧年大獎難題」（Millennium Prize Problems）是克雷數學研究所於 2000 年設立的七個數學界極其著名的世紀難題，每一難題的懸賞金額高達一百萬美元。在學術界，任何聲稱解決這些難題的消息都會引發極高關注與嚴密檢驗，因此相關傳聞和爭議具有巨大的學術震盪效應。
EN： The noun 'possibility' is followed by an appositive clause introduced by 'that'. Unlike relative clauses, the appositive clause does not replace a noun or preposition within itself; instead, it provides the complete content of what the 'possibility' consists of.
中文： 名詞「possibility」（可能性）後方接由「that」引導的同位語從句。與關係子句不同，同位語從句內部結構完整，不充當內部成分，而是具體闡述該「可能性」的詳細內容。
Investigators cannot discount the possibility that external tampering occurred.
調查人員不能排除發生外部人為篡改的可能性。
EN： The past perfect tense ('had influenced') is used inside the reported clause to establish a 'past before the past' (relative anteriority), indicating that the alleged data influence occurred prior to the time of concession ('conceded') and assessment ('could not rule out').
中文： 在間接引語從句中使用過去完成式（had influenced），用以表示「過去的過去」（先時性），表明相關數據產生影響的行為發生在該公司承認（conceded）與評估排除（could not rule out）的時間點之前。
She admitted that prior experiences had shaped her perspective.
她承認過往的經歷影響了她的觀點。
EN： The phrasal verb 'rule out' means to exclude or eliminate something from consideration. Modifying it with the adverb 'definitively' creates a formal, hedged negative statement ('could not definitively rule out'), a hallmark of high-level academic and corporate crisis communication.
中文： 片語動詞「rule out」意為排除或消除考慮。搭配副詞「definitively」（明確地、斷然地）構成「could not definitively rule out」（無法斷然/完全排除），這是高階學術界與企業危機公關中常見的審慎修辭（hedging）。
Doctors could not definitively rule out a secondary infection.
醫生無法完全排除繼發感染的可能性。
EN： In corporate communication and public relations—especially in high-stakes technological controversies—organizations often use 'hedging' language such as 'could not definitively rule out'. This formulation strategically acknowledges uncertainty without admitting deliberate wrongdoing or liability.
中文： 在企業公關與危機處理中（尤其是在爭議重大的科技前沿事件），機構常使用「模糊限制語」（hedging），例如「could not definitively rule out」（無法完全排除）。這種措辭在修辭上承認了不確定性的客觀存在，但同時避免直接承認具有主觀過錯或法律責任。
EN： The structure 'however + adjective/adverb' is used here as an elliptical concessive clause (short for 'however tentative it may be' or 'though it was tentative'). Set off by commas, it functions parenthetically to modify the subject 'This admission', contrasting its qualified or hesitant nature with its significant impact.
中文： 「however + 形容詞/副詞」在此處作為讓步省略子句（為 'however tentative it may be' 的簡化），並以雙逗號隔開作為插入語，修飾主詞「This admission」。此句型用來凸顯即使承認得相當保守、試探性，卻依然引發了顯著的後續效應。
Her response, however brief, provided critical insight into the company's future plans.
她的回應儘管十分簡短，卻為該公司的未來計畫提供了關鍵見解。
EN： The verb 'fuel' (used metaphorically here) means to sustain, inflame, or increase the intensity of an emotion, belief, or debate (e.g., 'fuel speculation', 'fuel rumours', 'fuel scepticism'). Coupled with the present perfect tense ('has fuelled'), it indicates a past action whose reverberations and consequences persist into the present.
中文： 動詞「fuel」（此處為比喻用法）意為「加劇、助長、點燃」某種情緒、臆測或爭論（常見搭配如 fuel speculation、fuel rumours、fuel scepticism）。搭配現在完成式「has fuelled」，強調該承認在過去發生後，所點燃的懷疑情緒至今仍持續發酵並產生影響。
The lack of official transparency has fuelled growing distrust among the public.
缺乏官方透明度加劇了大眾日益增長的不信任感。
EN： The spelling 'scepticism' and 'fuelled' reflects British/international English editorial standards (common in publications such as Nature, The Financial Times, or The Guardian), whereas American English typically writes 'skepticism' (with a 'k') and 'fueled' (with a single 'l'). In high-stakes academic and scientific journalism, corporate admissions are scrutinised with extreme precision, as integrity and peer verification are foundational to academic recognition.
中文： 句中「scepticism」與「fuelled」的拼寫展現了英式／國際英語的出版規範（如《金融時報》或《自然》期刊的風格），美式英語則通常拼作「skepticism」（字母 k）與「fueled」（單一 l）。在頂尖學術與科技新聞報導中，企業官方的承認往往會受到極為嚴格的檢視，因為同儕審查與學術誠信是科學界公認成果的不可動搖基石。
重要單字附有 IPA 發音、定義、例句和互動式測驗。
在本文中： 使困惑、難倒（指長期未能解決的難題）
在本文中： 努力、奮鬥、事業（指艱辛或龐大的計畫）
在本文中： 使陷入（泥潭或困境中，此處指陷入爭議）
在本文中： 準備就緒的、蓄勢待發的
在本文中： 發生、為人所知
在本文中： 證實、證明……屬實
在本文中： 誠實、正直、完整性
在本文中： 斷然地、明確無疑地
在本文中： 利用（通常帶有不當剝削或竊取的意味）
在本文中： （勉強）承認
在本文中： 猶豫的、試探性的、不明確的
在本文中： 懷疑態度
片語包含類型標示、雙語定義、用法說明和例句。
Deeply involved in or bogged down by serious disagreement and dispute.
陷入爭議之中
To speak or write in a calm, deliberate, and carefully balanced manner.
採取謹慎克制的語調
To exclude something as a possibility.
排除……的可能性
To deny something completely and without any doubt or exceptions.
斷然否認、嚴正否認
Seven of the most difficult and prestigious unsolved problems in mathematics, designated in 2000 by the Clay Mathematics Institute.
千禧年大獎難題