328 lines
17 KiB
Plaintext
328 lines
17 KiB
Plaintext
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MODEL: qwen3.6-35b-a3b
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PATH: /home/qrf/.cache/llama.cpp/Qwen_Qwen3.6-35B-A3B-Q4_K_M.gguf
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STARTED: 2026-07-11 19:22:35
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Q01 [physics]
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What is the Chandrasekhar limit in solar masses, and what does it represent?
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The Chandrasekhar limit is approximately 1.4 solar masses. It represents the maximum mass of a stable white dwarf star. If a white dwarf exceeds this limit, electron degeneracy pressure can no longer support it against gravitational collapse, leading to a supernova or the formation of a neutron star.
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Q02 [physics]
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Which bosons mediate the weak nuclear force?
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The weak nuclear force is mediated by the W and Z bosons. Specifically, these are the W+, W-, and Z0 bosons. These particles are responsible for processes such as beta decay.
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Q03 [physics]
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What is the approximate value of the fine-structure constant?
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The fine-structure constant is approximately 1/137. Its precise value is about 0.0072973525693. It is a dimensionless physical constant characterizing the strength of the electromagnetic interaction between elementary charged particles.
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Q04 [physics]
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What did the Davisson-Germer experiment confirm?
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The Davisson-Germer experiment confirmed the wave nature of electrons. It demonstrated that electrons exhibit diffraction patterns when scattered by a nickel crystal, providing experimental evidence for Louis de Broglie's hypothesis of matter waves. This discovery was a cornerstone in the development of quantum mechanics.
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Q05 [chemistry]
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What is the oxidation state of manganese in potassium permanganate?
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The oxidation state of manganese in potassium permanganate (KMnO₄) is +7. This is determined by assigning potassium an oxidation state of +1 and each oxygen an oxidation state of -2. The sum of all oxidation states in the neutral compound must equal zero, leading to the equation: (+1) + Mn + 4(-2) = 0. Solving for Mn yields +7.
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Q06 [chemistry]
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Which element has the highest electronegativity after fluorine?
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Oxygen has the highest electronegativity after fluorine. On the Pauling scale, fluorine is the most electronegative element with a value of 3.98, while oxygen follows closely with a value of 3.44. This places oxygen second in the periodic table for electronegativity.
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Q07 [chemistry]
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What industrial process converts nitrogen gas to ammonia, and what catalyst does it typically use?
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The industrial process that converts nitrogen gas to ammonia is the Haber-Bosch process. It typically uses an iron-based catalyst, often promoted with potassium and aluminum oxides. This process operates under high pressure and temperature to facilitate the reaction.
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Q08 [chemistry]
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What is a racemic mixture?
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A racemic mixture is a solution containing equal amounts of two enantiomers of a chiral molecule. Because the optical rotations of the two enantiomers cancel each other out, the mixture is optically inactive. It is often denoted by the prefix (±)- or (dl)-.
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Q09 [biology]
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Which nerve innervates the diaphragm, and from which spinal roots does it arise?
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The phrenic nerve innervates the diaphragm. It arises from the spinal roots C3, C4, and C5.
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Q10 [biology]
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What is the primary function of the loop of Henle?
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The primary function of the loop of Henle is to create a concentration gradient in the renal medulla through a process called countercurrent multiplication. This gradient allows the kidney to produce urine that is either more concentrated or more dilute than the blood plasma, depending on the body's hydration needs. It achieves this by actively transporting salts out of the ascending limb while allowing water to passively leave the descending limb.
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Q11 [biology]
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Deficiency of which vitamin causes pellagra, and what are its three classic symptoms?
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Pellagra is caused by a deficiency of niacin (vitamin B3). Its three classic symptoms are known as the "three Ds": dermatitis, diarrhea, and dementia. If left untreated, it can progress to a fourth symptom, death.
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Q12 [biology]
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What organism causes Chagas disease and what vector transmits it?
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Chagas disease is caused by the protozoan parasite *Trypanosoma cruzi*. It is transmitted to humans and other mammals by blood-sucking insects known as triatomine bugs, commonly referred to as "kissing bugs."
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Q13 [history]
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In what year did the First Council of Nicaea convene?
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The First Council of Nicaea convened in the year 325 AD.
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Q14 [history]
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Who is generally considered the last emperor of the Western Roman Empire?
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Romulus Augustulus is generally considered the last emperor of the Western Roman Empire. He was deposed in 476 AD by the Germanic chieftain Odoacer. This event is traditionally marked as the fall of the Western Roman Empire.
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Q15 [history]
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What peace settlement ended the Thirty Years' War, and in what year?
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The Thirty Years' War ended with the Peace of Westphalia in 1648. This series of peace treaties was signed in the Westphalian cities of Münster and Osnabrück.
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Q16 [history]
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Which Chinese dynasty ruled during the voyages of Zheng He?
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The Ming Dynasty ruled during the voyages of Zheng He. These expeditions took place between 1405 and 1433, primarily under the reigns of the Yongle Emperor and his successors. Zheng He served as a mariner and diplomat for the Ming court, leading seven major treasure voyages across the Indian Ocean.
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Q17 [geography]
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What is the deepest lake in the world and approximately how deep is it?
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The deepest lake in the world is Lake Baikal, located in Siberia, Russia. It reaches a maximum depth of approximately 1,642 meters (5,387 feet).
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Q18 [geography]
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Which two countries share the longest international land border?
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The two countries that share the longest international land border are Canada and the United States. This border stretches approximately 8,891 kilometers (5,525 miles). It is also the longest international border between two nations in the world.
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Q19 [geography]
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What strait separates Asia from North America?
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The Bering Strait separates Asia from North America. It connects the Bering Sea to the north with the Chukchi Sea to the south. The strait lies between Russia's Chukotka Peninsula and the United States' Alaska.
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Q20 [geography]
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What is the capital of Burkina Faso?
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The capital of Burkina Faso is Ouagadougou.
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Q21 [literature]
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Who wrote The Master and Margarita?
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The Master and Margarita was written by Mikhail Bulgakov. He composed the novel between 1928 and 1940. It was published posthumously in 1966–1967.
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Q22 [literature]
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In Dante's Divine Comedy, who guides Dante through Paradise?
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Beatrice guides Dante through the first eight spheres of Paradise. In the Empyrean, the final heaven, Beatrice is replaced by Saint Bernard of Clairvaux, who guides Dante to the final vision of God.
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Q23 [literature]
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What is the famous opening line of Anna Karenina?
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The famous opening line of Leo Tolstoy's *Anna Karenina* is: "All happy families are alike; each unhappy family is unhappy in its own way."
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Q24 [literature]
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Who wrote One Hundred Years of Solitude and in what year was it first published?
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One Hundred Years of Solitude was written by Gabriel García Márquez. It was first published in 1967.
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Q25 [music]
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What was Iron Maiden's debut studio album and in what year was it released?
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Iron Maiden's debut studio album is titled *Iron Maiden*. It was released in 1980.
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Q26 [music]
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Which composer wrote the Goldberg Variations?
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Johann Sebastian Bach wrote the Goldberg Variations.
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Q27 [music]
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Who produced System of a Down's album Toxicity?
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System of a Down's album *Toxicity* was produced by Rick Rubin. He is a renowned record producer known for his work with a wide variety of artists across different genres. The album was released in 2001 and became the band's most commercially successful record.
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Q28 [music]
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The natural minor scale corresponds to which mode of the major scale?
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The natural minor scale corresponds to the Aeolian mode of the major scale. It is the sixth mode, starting on the sixth degree of the major scale. For example, A natural minor is the Aeolian mode of C major.
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Q29 [rf_engineering]
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What is the approximate free-space path loss in dB at 1 km for a 2.4 GHz signal?
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The approximate free-space path loss is 92 dB. This is calculated using the formula $L = 20 \log_{10}(d) + 20 \log_{10}(f) + 20 \log_{10}(4\pi/c)$, where $d$ is distance in meters and $f$ is frequency in Hz. For 1 km (1000 m) and 2.4 GHz, the result is roughly 92.1 dB.
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Q30 [rf_engineering]
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What quantity does a Smith chart plot, and what is it used for?
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A Smith chart plots the complex reflection coefficient (or normalized impedance/admittance) on a polar coordinate system. It is primarily used in radio frequency (RF) and microwave engineering to analyze transmission lines and match impedances. Engineers use it to visualize how impedance changes along a line and to design matching networks for maximum power transfer.
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(finish=stop tokens=66 time=1.5s tps=51.0)
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Q31 [rf_engineering]
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State the Shannon capacity formula and define its variables.
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The Shannon capacity formula is $C = B \log_2(1 + \frac{S}{N})$. In this equation, $C$ represents the channel capacity in bits per second, $B$ is the bandwidth of the channel in hertz, $S$ is the average received signal power, and $N$ is the average noise power. The ratio $\frac{S}{N}$ is known as the signal-to-noise ratio (SNR). This formula defines the maximum rate at which information can be transmitted over a communications channel subject to additive white Gaussian noise.
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Q32 [rf_engineering]
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What modulation and spreading scheme does the GPS L1 C/A signal use?
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The GPS L1 C/A signal uses Binary Phase Shift Keying (BPSK) modulation. It employs a Direct Sequence Spread Spectrum (DSSS) scheme. The signal is spread using a Coarse/Acquisition (C/A) pseudo-random noise (PRN) code. The chip rate of this spreading code is 1.023 MHz.
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Q33 [math]
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What is the exact value of the Riemann zeta function at s=2?
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The exact value of the Riemann zeta function at s=2 is $\frac{\pi^2}{6}$. This result is known as the Basel problem, which was first solved by Leonhard Euler in 1734. It represents the sum of the reciprocals of the squares of the positive integers: $\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6}$.
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Q34 [math]
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State the Central Limit Theorem in one sentence.
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The Central Limit Theorem states that the sampling distribution of the sample mean approaches a normal distribution as the sample size becomes large, regardless of the population's distribution.
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Q35 [math]
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Write out Euler's identity.
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Euler's identity is $e^{i\pi} + 1 = 0$. It is a special case of Euler's formula, $e^{ix} = \cos(x) + i\sin(x)$, when $x = \pi$. This equation elegantly links five fundamental mathematical constants: $e$, $i$, $\pi$, $1$, and $0$.
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Q36 [math]
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How many groups of order 8 exist up to isomorphism?
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There are five groups of order 8 up to isomorphism. Three of these are abelian: the cyclic group $C_8$, the direct product $C_4 \times C_2$, and the elementary abelian group $C_2 \times C_2 \times C_2$. The remaining two are non-abelian: the dihedral group $D_4$ and the quaternion group $Q_8$.
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Q37 [econ_law]
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What is the difference between nominal and real GDP?
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Nominal GDP measures the value of all goods and services produced using current prices, while real GDP adjusts for inflation by using constant prices from a base year. This adjustment allows real GDP to reflect actual changes in production volume rather than just price increases. Consequently, real GDP is a more accurate indicator of economic growth over time.
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Q38 [econ_law]
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What legal principle does habeas corpus protect?
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Habeas corpus protects the legal principle that a person cannot be detained or imprisoned without lawful justification. It serves as a fundamental safeguard against arbitrary and unlawful state action by requiring the government to bring a detained individual before a court. This writ ensures that the detention is based on valid legal authority and due process.
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Q39 [econ_law]
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Who won the Nobel Memorial Prize in Economics for prospect theory?
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Daniel Kahneman won the Nobel Memorial Prize in Economic Sciences in 2002 for having integrated insights from psychological research into economic science, specifically for his work on prospect theory. He developed this theory with Amos Tversky, although Tversky had passed away before the prize was awarded.
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(finish=stop tokens=61 time=1.5s tps=51.6)
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Q40 [econ_law]
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What is Gresham's law?
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Gresham's law states that "bad money drives out good" when both types of currency are legally required to be accepted at the same face value. This occurs because people tend to hoard the money with higher intrinsic value (the "good" money) and spend the money with lower intrinsic value (the "bad" money). Consequently, the undervalued currency circulates more widely while the overvalued currency disappears from circulation.
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(finish=stop tokens=89 time=2.0s tps=51.3)
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----------------------------------------------------------------------
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TOTAL: 55s for 40 questions
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=== RUN COMPLETE ===
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