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Arabic/0a76a7e209644df08b68113fa0eb8bc7.jsonl

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+{"comparison_id": "allenai/OpenThoughts3-full-filtered-science-no-cot-decontam-v2_tmp_ids_21007::smith_vs_teacher", "source_id": "allenai/OpenThoughts3-full-filtered-science-no-cot-decontam-v2_tmp_ids_21007", "language": "Arabic", "seed_prompt": "I'm a bit confused as to when ordinary and partial derivatives are used in the Dirac formalism.\nIn the Schrödinger equation, for instance, Griffiths [3.85] uses ordinary derivatives:\n$$ i \\hbar \\frac{\\mathrm{d}}{\\mathrm{d}t} \\lvert \\mathcal{S} \\rangle = H \\lvert \\mathcal{S} \\rangle, $$\nand so do Schumacher and Westmoreland [5.23]:\n$$ H \\lvert \\psi(t) \\rangle = i \\hbar \\frac{\\mathrm{d}}{\\mathrm{d}t} \\lvert \\psi(t) \\rangle, $$\nand they even denote the explicit time dependence of the ket. Shankar (section 4.1) does the same. This makes sense to me, since the ket is not a function of e.g. space. However, though I haven't closely studied Sakurai, he seems to disagree and writes [2.1.27]:\n$$ i \\hbar \\frac{\\partial}{\\partial t} \\lvert \\alpha, t_0; t \\rangle = H \\lvert \\alpha, t_0; t \\rangle. $$\nSimilar is found in e.g. these lecture notes from MIT (PDF). Is there any good reason for using different kinds of derivatives that I'm not seeing? Or any other justification for different notations?\nI also had a second confusion, in this case regarding operators. Sakurai defines an observable in the Heisenberg picture (subscript $H$) in terms of the same observable in the Schrödinger picture (subscript $S$) [2.2.10]:\n$$ A_H \\equiv U^\\dagger(t) A_S U(t), $$\nwhere $U$ is the time evolution operator. To derive Heisenberg's equation of motion, I myself would just take the total derivative with respect to time:\n$$ \\frac{\\mathrm{d} A_H}{\\mathrm{d} t} = \\frac{\\mathrm{d} U^\\dagger}{\\mathrm{d} t} A_S U + U^\\dagger \\frac{\\mathrm{d} A_S}{\\mathrm{d} t} U + U^\\dagger A_S \\frac{\\mathrm{d} U}{\\mathrm{d} t}. $$\nNow Sakurai has instead partial derivatives on the right-hand side [2.2.15]. But why is this, since we're taking the total derivative? He claims (implicitly) that the middle term cancels for observables $A_S$ that do not depend explicitly on time, which I can see if he takes the partial derivative (and not a priori for total derivatives), but I do not understand why we do that.\n", "pair": "smith_vs_teacher", "system_left": "smith", "system_right": "teacher", "overall": "b", "aspects": {"naturalness": "b", "cultural_appropriateness": "tie_both_good", "instruction_following": "tie_both_good", "coherence": "tie_both_good"}, "comment": "", "instance_feedback": "", "winner_system": "teacher", "annotator_id": "silly_bhaskara", "session_id": "0a76a7e209644df08b68113fa0eb8bc7", "annotated_at": "2026-09-23T11:46:31", "duration_ms": 212399}

Japanese/c90ed6ccd4a64a47ac9d87320228245c.jsonl

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 {"comparison_id": "allenai/puzzle_data_160k-ngram-filtered_tmp_ids_72534::smith_vs_teacher", "source_id": "allenai/puzzle_data_160k-ngram-filtered_tmp_ids_72534", "language": "Japanese", "seed_prompt": "This is a logic puzzle. There are 5 houses (numbered 1 on the left, 5 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:\n - Each person has a unique name: `carol`, `alice`, `bob`, `david`, `arnold`\n - Each person has a favorite drink: `coffee`, `water`, `milk`, `boba tea`, `root beer`\n - The people are of nationalities: `mexican`, `chinese`, `dane`, `brit`, `german`\n - The people keep different animals: `horse`, `cat`, `fish`, `dog`, `bird`\n - Each mother is accompanied by their child: `billy`, `bella`, `timothy`, `alice`, `fred`\n\n\n## Clues:\n1. The person's child is named Bella and the dog owner are next to each other.\n2. The one who only drinks water is in the first house.\n3. The person who is the mother of Timothy is the Dane.\n4. The root beer lover is directly left of Alice.\n5. The person who keeps horses is in the third house.\n6. The Mexican is the person's child is named Alice.\n7. The boba tea drinker is directly left of David.\n8. The bird keeper is directly left of the person's child is named Alice.\n9. Arnold is the Chinese.\n10. The dog owner is the boba tea drinker.\n11. The cat lover is directly left of the dog owner.\n12. Carol is the coffee drinker.\n13. The person's child is named Fred is the person who keeps horses.\n14. The German and the person's child is named Alice are next to each other.\n\nWhat is Name of the person who lives in House 1? Provide only the name of the person as your final answer.", "pair": "smith_vs_teacher", "system_left": "teacher", "system_right": "smith", "overall": "a", "aspects": {"naturalness": "a", "cultural_appropriateness": "tie_both_bad", "instruction_following": "tie_both_good", "coherence": "tie_both_good"}, "comment": "B sounds way too casual. A has some improper word in Japanese but still can allow as a response in my opinion. ", "instance_feedback": "", "winner_system": "teacher", "annotator_id": "tiny_booth", "session_id": "c90ed6ccd4a64a47ac9d87320228245c", "annotated_at": "2026-09-23T11:31:33", "duration_ms": 181274}
 {"comparison_id": "allenai/puzzle_data_160k-ngram-filtered_tmp_ids_73953::smith_vs_teacher", "source_id": "allenai/puzzle_data_160k-ngram-filtered_tmp_ids_73953", "language": "Japanese", "seed_prompt": "This is a logic puzzle. There are 5 houses (numbered 1 on the left, 5 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:\n - Each person has a unique name: `arnold`, `carol`, `bob`, `david`, `alice`\n - Each person has a favorite drink: `water`, `coffee`, `milk`, `root beer`, `boba tea`\n - People use different phone models: huawei p50, samsung galaxy s21, google pixel 6, sony xperia 5, oneplus 9\n - They all have a different favorite flower: `carnations`, `iris`, `orchid`, `lilies`, `daffodils`\n - Each person has a favorite color: `blue`, `purple`, `white`, `brown`, `yellow`\n\n\n## Clues:\n1. Alice is the person who loves the boquet of lilies.\n2. The person who loves a bouquet of daffodils is the root beer lover.\n3. The person who loves blue is the person who uses a Samsung Galaxy S21.\n4. David is the person who loves yellow.\n5. The one who only drinks water is in the first house.\n6. The boba tea drinker is directly left of Alice.\n7. The person who loves a carnations arrangement is in the third house.\n8. The person who uses a Huawei P50 and the person who loves white are next to each other.\n9. The person who loves purple is directly left of Carol.\n10. The person who likes milk is in the third house.\n11. The person who uses a Sony Xperia 5 is David.\n12. Bob is in the third house.\n13. The person who loves the boquet of iris and the root beer lover are next to each other.\n14. The person who loves purple is the person who uses a OnePlus 9.\n15. Bob is the person who uses a Google Pixel 6.\n\nWhat is Name of the person who lives in House 1? Provide only the name of the person as your final answer.", "pair": "smith_vs_teacher", "system_left": "smith", "system_right": "teacher", "overall": "a", "aspects": {"naturalness": "a", "cultural_appropriateness": "tie_both_good", "instruction_following": "tie_both_good", "coherence": "tie_both_good"}, "comment": "B has a misterious name Karuru out of nowhere. A is more complete and good as a response. ", "instance_feedback": "", "winner_system": "smith", "annotator_id": "tiny_booth", "session_id": "c90ed6ccd4a64a47ac9d87320228245c", "annotated_at": "2026-09-23T11:36:07", "duration_ms": 274810}
 {"comparison_id": "allenai/puzzle_data_160k-ngram-filtered_tmp_ids_79807::smith_vs_teacher", "source_id": "allenai/puzzle_data_160k-ngram-filtered_tmp_ids_79807", "language": "Japanese", "seed_prompt": "This is a logic puzzle. There are 5 houses (numbered 1 on the left, 5 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:\n - Each person has a unique name: `david`, `alice`, `bob`, `carol`, `arnold`\n - Each person has a favorite color: `brown`, `purple`, `blue`, `yellow`, `white`\n - The people keep different animals: `horse`, `cat`, `dog`, `bird`, `fish`\n - Everyone has a favorite smoothie: `butterscotch`, `darkness`, `dragonfruit`, `lemon`, `desert`\n - Everyone has a different favorite cigar: `pall mall`, `prince`, `red eye`, `dunhill`, `blue master`\n\n\n## Clues:\n1. The person who keeps horses is in the first house.\n2. The Dragonfruit smoothie lover and the person who loves yellow are next to each other.\n3. The Dunhill smoker is the Desert smoothie lover.\n4. The person who loves purple is the Butterscotch smoothie drinker.\n5. The person who loves purple and the Darkness smoothie drinker are next to each other.\n6. The fish enthusiast is Carol.\n7. The person who loves blue is directly left of Alice.\n8. Arnold is the person who loves brown.\n9. The cat lover is directly left of Arnold.\n10. The dog owner is the Darkness smoothie drinker.\n11. The person who loves yellow is David.\n12. The person who smokes Blue Master is the Butterscotch smoothie drinker.\n13. The Prince smoker is Carol.\n14. The fish enthusiast is in the fourth house.\n15. Bob is the person who smokes Red Eye.\n\nWhat is Name of the person who lives in House 1? Provide only the name of the person as your final answer.", "pair": "smith_vs_teacher", "system_left": "smith", "system_right": "teacher", "overall": "a", "aspects": {"naturalness": "b", "cultural_appropriateness": "tie_both_good", "instruction_following": "a", "coherence": "tie_both_good"}, "comment": "A is slightly better as is more conversational.", "instance_feedback": "", "winner_system": "smith", "annotator_id": "tiny_booth", "session_id": "c90ed6ccd4a64a47ac9d87320228245c", "annotated_at": "2026-09-23T11:43:00", "duration_ms": 412378}
+{"comparison_id": "allenai/puzzle_data_160k-ngram-filtered_tmp_ids_81968::smith_vs_teacher", "source_id": "allenai/puzzle_data_160k-ngram-filtered_tmp_ids_81968", "language": "Japanese", "seed_prompt": "This is a logic puzzle. There are 5 houses (numbered 1 on the left, 5 on the right), from the perspective of someone standing across the street from them. Each has a different person in them. They have different characteristics:\n - Each person has a unique name: `bob`, `arnold`, `carol`, `david`, `alice`\n - Each mother is accompanied by their child: `fred`, `bella`, `alice`, `billy`, `timothy`\n - Each person has a favorite drink: `root beer`, `coffee`, `milk`, `boba tea`, `water`\n - The people keep different animals: `cat`, `dog`, `fish`, `bird`, `horse`\n - Each person has a favorite color: `purple`, `white`, `yellow`, `blue`, `brown`\n\n\n## Clues:\n1. The person who is the mother of Timothy is the root beer lover.\n2. The root beer lover is the fish enthusiast.\n3. The dog owner is in the fifth house.\n4. The person who likes milk is the person who loves yellow.\n5. The fish enthusiast is directly left of the person's child is named Alice.\n6. The person's child is named Bella is directly left of the cat lover.\n7. The bird keeper is Alice.\n8. The person who keeps horses and the one who only drinks water are next to each other.\n9. The person who loves brown and the person who loves yellow are next to each other.\n10. The boba tea drinker and the dog owner are next to each other.\n11. Arnold is directly left of the person who keeps horses.\n12. The person who loves blue is Carol.\n13. The cat lover is the person who is the mother of Billy.\n14. The person who loves white is the fish enthusiast.\n15. The person who is the mother of Billy is Bob.\n16. Carol and the bird keeper are next to each other.\n\nWhat is Name of the person who lives in House 1? Provide only the name of the person as your final answer.", "pair": "smith_vs_teacher", "system_left": "teacher", "system_right": "smith", "overall": "b", "aspects": {"naturalness": "tie_both_good", "cultural_appropriateness": "tie_both_good", "instruction_following": "b", "coherence": "tie_both_good"}, "comment": "B is more relatable to the prompt. ", "instance_feedback": "", "winner_system": "smith", "annotator_id": "tiny_booth", "session_id": "c90ed6ccd4a64a47ac9d87320228245c", "annotated_at": "2026-09-23T11:46:12", "duration_ms": 192603}