OpenAI claims to have solved maths problem that stumped humans for decades
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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.
The company unveiled what critics consider a flawed strategy.
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.
The scientists published their results, arguing that previous models were insufficient.
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'.
The laboratory has published a study claiming that its researchers have synthesized the elusive compound.
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.
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'.
The theorem, which had eluded proof for decades, was finally solved using novel computational methods.
EN: The past participle phrase 'designated by...' functions as a reduced relative clause modifying 'Millennium Prize Problems' (short for 'which were designated by...').
The standards established by the international committee are strictly observed worldwide.
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.
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.
According to the official report, several international experts contributed to the investigation.
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.
The scientists tested hundreds of compounds, eventually finding a viable candidate.
EN: The intransitive verb 'collaborate' typically pairs with the preposition 'on' to denote the project, task, or endeavour being worked on ('collaborate on something').
Engineers from both universities collaborated on the autonomous vehicle project.
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.
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.
The ongoing infrastructure project has become mired in bureaucratic delays and funding disputes.
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.
The diplomatic summit has quickly deteriorated into an exchange of mutual recriminations.
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.
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.
Upon receiving the grant approval, the laboratory commenced Phase II clinical trials.
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'.
The tech giant is poised to release its next-generation neural processing chip next month.
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.
Investigators argued that the firm had concealed safety violations before the regulatory audit began.
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.
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.
The whistle-blower stated that the confidential documents had been copied onto an external hard drive months earlier.
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'.
She transferred the files to the university's supercomputer, which is reserved exclusively for scientific simulations.
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.
The scientists were reluctant to share their work in progress before completing peer review.
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.
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.
A security breach could potentially have compromised millions of sensitive user records.
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.
The current economic indicators, analysts warned, could signal a looming market downturn.
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.
The transparent policy made internal operations accessible to all stakeholders.
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.
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.
The spokesperson struck a conciliatory tone during the press conference to defuse the growing tension.
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).
The committee is neither endorsing the proposal nor rejecting it outright.
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.
In an email sent to the staff, the CEO announced immediate structural changes, emphasizing the need for efficiency.
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.
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'.
The committee stated that it had not verified whether the protocol had been observed or how the error had occurred.
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.
Investigators suspected that the suspect had fled the country before the warrant was issued.
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.
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.
Were the board to reject the proposal, the CEO would be forced to resign.
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').
His initial calculations proved remarkably accurate despite the skepticism.
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.
The sudden policy change raised serious questions about the administration's transparency.
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.
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).
The spokesperson denied that the administration had withheld any critical evidence from investigators.
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'.
Users should exercise caution regarding any personal information uploaded to public platforms.
EN: The adverb 'categorically' emphasizes absolute, unambiguous denial. It strongly collocates with verbs like 'deny', 'reject', and 'refute' in formal and journalistic registers.
The defense attorney categorically rejected the prosecutor's allegations.
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.
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').
The committee confirmed rumours that the proposed policy had been revised.
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.
He admitted that his breakthrough had been aided by previous discoveries.
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.
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.
Investigators cannot discount the possibility that external tampering occurred.
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').
She admitted that prior experiences had shaped her perspective.
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.
Doctors could not definitively rule out a secondary infection.
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.
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.
Her response, however brief, provided critical insight into the company's future plans.
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.
The lack of official transparency has fuelled growing distrust among the public.
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.
Key vocabulary words with IPA pronunciation, definitions, example sentences, and interactive quizzes.
Phrases with type tags, bilingual definitions, usage notes, and example sentences.
Deeply involved in or bogged down by serious disagreement and dispute.
To speak or write in a calm, deliberate, and carefully balanced manner.
To exclude something as a possibility.
To deny something completely and without any doubt or exceptions.
Seven of the most difficult and prestigious unsolved problems in mathematics, designated in 2000 by the Clay Mathematics Institute.