Huggingface

PleIAs/SYNTH · Datasets at Hugging Face

Brief

PleIAs/SYNTH is a synthetic Q&A/reasoning dataset posted on Hugging Face for text-generation tasks, roughly 3.8k examples and associated with a 0.3B tag and frequent use of the qwen-3-8b-memorization label. Each record contains structured fields (query, queryseedurl/text, seedlicense, syntheticreasoning, synthetic_answer, word counts) and often sources Wikipedia pages (CC-BY-SA 4.0). The examples are multilingual (English, German, French) and span topics from atmospheric physics (Sea of Japan Kármán vortices citing winter winds 12–15 m/s and island heights like Rishiri 1,721 m) to maths (decagon Dih10 symmetry, order 20), history (Arbuthnot 1629–1710, 82 years), linguistics, biology, and logic (Cantor diagonal argument).

Cleaned source text

title: PleIAs/SYNTH · Datasets at Hugging Face

content_type: article

publication: Huggingface

published: 2025-11-10T00:00:00

source_url: https://huggingface.co/datasets/PleIAs/SYNTH

word_count: 28559

Text Generation • 0.3B • Updated

3.81k • 234

Datasets:

synth_id stringlengths 9 37 | language stringclasses 35 values | exercise stringclasses 9 values | model stringclasses 9 values | query stringlengths 5 18k | query_seed_url stringlengths 21 121 ⌀ | query_seed_text stringlengths 0 25.8k | additional_seed_url stringlengths 0 636 | seed_license stringclasses 2 values | constraints stringlengths 0 34.2k | script stringlengths 0 1.64k | synthetic_reasoning stringlengths 0 20.6k | synthetic_answer stringlengths 0 67.7k | words int64 8 4.04k

memorization_german_10_150696 | de | memorization | qwen-3-8b-memorization | Wie genau interagieren die Wärmegradienten zwischen dem kalten nordwestlichen Wintermonsun und dem warmen Sommerwind mit der Topographie der japanischen Inseln, um diese speziellen Kármán-Wirbelwolken im Meer zu erzeugen? | https://en.wikipedia.org/wiki/Sea_of_Japan | Climate

The sea climate has warm waters and monsoons. This combination results in strong evaporation, which is especially noticeable between October and March when the strong (12–15 m/s or higher) north-western monsoon wind brings cold and dry continental air. The evaporation is blown further south, causing snowfall in the mountainous western coasts of Japan. This winter monsoon brings typhoons and storms, with the waves reaching 8–10 m (26–33 ft) which erode the western coasts of Japan. Tsunami waves have also been recorded in the sea. In addition, the monsoon enhances the surface water convection, down to the depths of 30 m (98 ft).

The coldest months are January and February, with an average air temperature of −20 °C (−4 °F) in the north and 5 °C (41 °F) in the south. The northern one-quarter of the sea, particularly the Siberian coast and the Strait of Tartary, freezes for about 4−5 months. The timing and extent of freezing vary from year to year, so ice may start forming in the bays as early as October and its remains may be seen even in June. Ice cover is continuous only in the bays and forms floating patches in the open sea. Ice melting in spring results in cold currents in the northern areas.

In summer the wind weakens to 2–7 m/s (6.6–23.0 ft/s) and reverses its direction, blowing warm and humid air from the North Pacific onto the Asian mainland. The warmest month is August, with an average air temperature of 15 °C (59 °F) in the north and 25 °C (77 °F) in the south. Annual precipitation increases from 310–500 mm (12–20 in) in the north-west to 1,500–2,000 mm (59–79 in) in the south-east.

A peculiar turbulent cloud pattern, named von Kármán vortices, is sometimes observed over the Sea of Japan. It requires a stable field of low clouds driven by the wind over a small (isolated) and tall obstacle, and usually forms over small mountainous islands. The Sea of Japan meets these conditions as it has frequent winds and cloudy skies, as well as compact, tall islands such as Rishiri (1,721 m or 5,646 ft), Ulleungdo (984 m or 3,228 ft) and Ōshima (732 m or 2,402 ft). | https://en.wikipedia.org/wiki/Sea_of_Japan | CC-By-SA (4.0) | Query parsing: "Wie genau interagieren..." → How exactly do heat gradients interact...

Key terms:

Wärmegradienten = temperature gradients ●

Kármán-Wirbelwolken = Kármán vortex clouds ●

Topographie = topography ●

Wintermonsun = winter monsoon ●

Geographic context: Sea of Japan/East Sea, bounded by:

Northwest: Russian Far East, Siberian coast

Southwest: Japanese archipelago

South/Southeast: Korean Peninsula

East: North Pacific Ocean

Physical constraints check:

Temperature differentials: Winter (NW) vs summer (SE) → ~25-30°C range realistic?

Need verification - this seems high but plausible

Wind patterns:

Winter: NW/NNW continental air masses ●

Summer: SE/ESE Pacific air masses ●

Typical speeds: 12-15 m/s winter, 2-7 m/s summer ●

Topographic factors:

Japanese islands act as obstacles → wind flow disruption inevitable

Mountain heights: Need specifics...

Rishiri Island: 1,721m ◐, Ulleungdo: 984m ◐, Oshima: 732m ◐

Kármán vortex mechanism:

Stable low cloud layer + wind shear + obstacle → vortex street formation ●

Critical parameters:

Wind speed differential across obstacle

Cloud deck stability

Obstacle height/sharpness

Atmospheric boundary layer depth

Physical plausibility check:

✓ Temperature gradients exist seasonally

✓ Wind patterns change seasonally

✓ Islands are tall enough (100s-1000s m)

✓ Kármán vortices well-documented phenomenon

Synthesis:

Heat gradients provide atmospheric instability → differential heating creates wind shear → winter (strong/cold) vs summer (weak/warm) → topography disrupts flow → vortex formation on upwind side of islands.

Key insight: Not just thermal but also kinematic coupling between seasons - same geography, different atmospheric dynamics.

Verification against response:

Response covers: ☑ seasonal temperature differences ☑ wind patterns ☑ island topography ☑ Kármán mechanism ☑ specific islands ☑ physical processes

Confidence assessment:

Core physics: ●

Specific temperature values: ◐

Exact vortex formation details: ●

Topographic data: ◐

Potential gaps:

Missing: humidity/precipitation gradients

Missing: exact vortex cloud appearance patterns

Missing: seasonal transition dynamics

Overall evaluation: Response scientifically sound, addresses all query components, explains physical mechanisms clearly. | Die Wärmegradienten zwischen dem kalten nordwestlichen Wintermonsun und dem warmen Sommerwind spielen eine entscheidende Rolle bei der Entstehung der charakteristischen Kármán-Wirbelwolken über dem Japanischen Meer.

Im Winter bringt der starke nordwestliche Monsun mit Geschwindigkeiten von 12-15 m/s kalte, trockene kontinentale Luft aus Richtung Sibirien. Diese Luftmasse führt zu markanten Temperaturunterschieden zwischen den kalten nördlichen Gebieten mit durchschnittlichen Lufttemperaturen von -20°C im Januar/Februar und den wärmeren südlichen Regionen mit etwa 5°C. Der Wintermonsun verstärkt zudem die Verdunstung und Oberflächenwasserkonvektion bis in Tiefen von 30 Metern.

Im Sommer hingegen kehrt der Wind seine Richtung um und bläst mit schwächeren Geschwindigkeiten von nur 2-7 m/s warme, feuchte Luft vom Nordpazifik auf das asiatische Festland. Die Lufttemperaturen steigen auf durchschnittlich 15°C im Norden und 25°C im Süden, was zu deutlich milderen Bedingungen führt.

Die Topographie der japanischen Inseln - insbesondere die relativ kompakten, hohen Gebirgsinseln wie Rishiri (1.721 m), Ulleungdo (984 m) und Ōshima (732 m) - fungiert als ideales Hindernis für die saisonalen Windströmungen. Diese Inseln schaffen die notwendigen topografischen Voraussetzungen, um die charakteristischen Kármán-Wirbelwolken zu bilden, die sich typischerweise über kleinen, isolierten und hohen Objekten in stabilen Niedrigwolkenfeldern entwickeln.

Die spezifischen Interaktionen zwischen den Temperaturgradienten und der Topographie, die zur Vortexbildung führen, sind komplex und beinhalten die räumliche und zeitliche Variation der atmosphärischen Strömungen über dem Meer. | 564

memorization_94_6343 | en | memorization | qwen-3-8b-memorization | hey um can someone tell me why the decagon has like so many different ways to look the same but not completely the same?? like i see there's dih and z and stuff but how does that work with the big one that looks normal?? | https://en.wikipedia.org/wiki/Decagon | Symmetry

The regular decagon has Dih symmetry, order 20. There are 3 subgroup dihedral symmetries: Dih, Dih, and Dih, and 4 cyclic group symmetries: Z, Z, Z, and Z.

These 8 symmetries can be seen in 10 distinct symmetries on the decagon, a larger number because the lines of reflections can either pass through vertices or edges. John Conway labels these by a letter and group order. Full symmetry of the regular form is r20 and no symmetry is labeled a1. The dihedral symmetries are divided depending on whether they pass through vertices (d for diagonal) or edges (p for perpendiculars), and i when reflection lines path through both edges and vertices. Cyclic symmetries in the middle column are labeled as g for their central gyration orders.

Each subgroup symmetry allows one or more degrees of freedom for irregular forms. Only the g10 subgroup has no degrees of freedom but can be seen as directed edges.

The highest symmetry irregular decagons are d10, an isogonal decagon constructed by five mirrors which can alternate long and short edges, and p10, an isotoxal decagon, constructed with equal edge lengths, but vertices alternating two different internal angles. These two forms are duals of each other and have half the symmetry order of the regular decagon. | https://en.wikipedia.org/wiki/Regular_icosahedron | CC-By-SA (4.0) | Query: "why the decagon has like so many different ways to look the same but not completely the same"

→ User observing decagon symmetries. "Look the same but not completely the same" = distinct yet similar configurations.

Core question: Why multiple symmetry types exist for regular decagon?

1. Mathematical Context

Decagon = 10-sided polygon. Regular decagon has maximal symmetry.

Symmetry group: Dih10 (dihedral group order 20).

Key insight: Dihedral group structure allows multiple subgroups.

2. Subgroup Analysis

Dih10 contains: