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"To determine which option could represent a distinguishable energy difference between two quantum s(...TRUNCATED) | "To determine which option could represent a distinguishable energy difference between two quantum s(...TRUNCATED) | [{"id":"148000","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"size 12{ΔE Δt >= h\(...TRUNCATED) |
"To determine the number of carbon atoms in product 3, we need to analyze the provided chemical reac(...TRUNCATED) | "To determine the number of carbon atoms in product 3, we need to analyze the provided chemical reac(...TRUNCATED) | [{"id":"32322","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"(d) 2 – methyl pent (...TRUNCATED) |
"To determine the expectation value of the operator \\( 10\\sigma_z + 5\\sigma_x \\) for the spin-ha(...TRUNCATED) | "To determine the expectation value of the operator \\( 10\\sigma_z + 5\\sigma_x \\) for the spin-ha(...TRUNCATED) | [{"id":"2027","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"thus been reduced to fi(...TRUNCATED) |
"### Step 1: Identifying the Essential Problem\n\nThe essential problem at hand is the consideration(...TRUNCATED) | "### Step 1: Identifying the Essential Problem\n\nThe essential problem at hand is the consideration(...TRUNCATED) | [{"id":"2999","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"equation given below. #(...TRUNCATED) |
"To solve the problem of finding the eigenvector of the quantum mechanical operator \\(\\vec{P}\\) f(...TRUNCATED) | "To solve the problem of finding the eigenvector of the quantum mechanical operator \\(\\vec{P}\\) f(...TRUNCATED) | [{"id":"131658","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"(an operator is a fun(...TRUNCATED) |
"When analyzing the potential given in the problem—\\[ V(r, \\theta) = \\frac{1}{2} kr^2 + \\frac{(...TRUNCATED) | "When analyzing the potential given in the problem—\\[ V(r, \\theta) = \\frac{1}{2} kr^2 + \\frac{(...TRUNCATED) | [{"id":"167553","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"isotropic three-dimen(...TRUNCATED) |
"To address the question of the energy threshold above which high-energy \\(\\gamma\\)-rays would ha(...TRUNCATED) | "To address the question of the energy threshold above which high-energy \\(\\gamma\\)-rays would ha(...TRUNCATED) | [{"id":"5977","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"\\textit{Cosmic Microwa(...TRUNCATED) |
"To analyze the results of the experiment with the three candidate genes (G1, G2, G3) and their knoc(...TRUNCATED) | "To analyze the results of the experiment with the three candidate genes (G1, G2, G3) and their knoc(...TRUNCATED) | [{"id":"7737","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"possible mechanisms to (...TRUNCATED) |
"To analyze which of the listed molecules has C3h symmetry, we first need to understand what C3h sym(...TRUNCATED) | "To analyze which of the listed molecules has C3h symmetry, we first need to understand what C3h sym(...TRUNCATED) | [{"id":"29175","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"is the ammonia molecul(...TRUNCATED) |
"To determine which exoplanet has the highest density among the given options, we must first compreh(...TRUNCATED) | "To determine which exoplanet has the highest density among the given options, we must first compreh(...TRUNCATED) | [{"id":"8980","source":"gpqa_rerank_llama8b_reasonir_data","retrieval text":"Earth's density. Kepler(...TRUNCATED) |
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