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"(a) What does the symmetry under a rotation through $2\\pi/3$ imply about the coefficients of $\\ps(...TRUNCATED) |
organic-chemistry-questions
| "Let's analyze the problem carefully step-by-step.\n\n---\n\n### Problem context (implicit)\n\nYou a(...TRUNCATED) | 612 | 9,405 |
Quantum Mechanics
| "\n\n(a) The symmetry under a rotation through \\(2\\pi/3\\) implies that the eigenstates of the eff(...TRUNCATED) | "Alright, so I need to tackle part (a) and (b) of this quantum mechanics problem. Let me start with (...TRUNCATED) | "(a) Under the rotation through $2\\pi/3$, we have\\n\\n\\[ R\\psi_A = a\\psi_B, \\quad R\\psi_B = a(...TRUNCATED) | null | null | null | null | null | null | null | null | null | null | "The question pertains to concepts in quantum mechanics and chemical systems, particularly related t(...TRUNCATED) | true | 3,805 | ["We are asked: \"(a) What does the symmetry under a rotation through \\(2\\pi/3\\) imply about the (...TRUNCATED) | ["We are asked (a) \"What does the symmetry under a rotation through 2π/3 imply about the coefficie(...TRUNCATED) | "We are going to produce answer to problem (a) and (b) from given spin cycles with effective Hamilto(...TRUNCATED) | [{"from":"human","value":"(a) What does the symmetry under a rotation through $2\\pi/3$ imply about (...TRUNCATED) |
"I am investigating the diffusion of ink in water. A drop of blue ink is dropped to the center of a (...TRUNCATED) |
stackexchange-physics
| "Let's analyze the problem carefully and see if we can provide a theoretical explanation or at least(...TRUNCATED) | 940 | 8,471 | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | 491 | ["We are asked: \"I am investigating the diffusion of ink in water. A drop of blue ink is dropped to(...TRUNCATED) | ["The user message: \"I am investigating the diffusion of ink in water. A drop of blue ink is droppe(...TRUNCATED) | "User question: \"I am investigating diffusion of ink in water and trying to fit a model for it, but(...TRUNCATED) | [{"from":"human","value":"I am investigating the diffusion of ink in water. A drop of blue ink is dr(...TRUNCATED) |
"First, I'll state some background that lead me to the question.\nI was thinking about quantization (...TRUNCATED) |
stackexchange-physics
| "Great questions! Your reasoning about the quantization of spacetime and the analogy to particles ex(...TRUNCATED) | 688 | 8,438 | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | 290 | ["User query: \"First, I'll state some background that lead me to the question....\", etc. In the qu(...TRUNCATED) | ["User question: It's extended answer request: first background a question, then two questions: \"In(...TRUNCATED) | "User question: It's extended answer request: first background a question, then two questions: \"In (...TRUNCATED) | [{"from":"human","value":"First, I'll state some background that lead me to the question.\nI was thi(...TRUNCATED) |
"61. Write balanced chemical equations for the following reactions.\\n (a) beryllium hydroxide + t(...TRUNCATED) |
organic-chemistry-questions
| "Let's write balanced chemical equations for each given reaction, assuming typical acid-base reactio(...TRUNCATED) | 324 | 3,686 |
General Chemistry
| "\n\nHere are the balanced chemical equations for each reaction:\n\n(a) **Beryllium hydroxide + thio(...TRUNCATED) | "Okay, so I need to write balanced chemical equations for these reactions. Let's start with part (a)(...TRUNCATED) | null | null | null | null | null | null | null | null | null | null | null | "The question involves writing balanced chemical equations for specific reactions, many of which inv(...TRUNCATED) | true | 2,305 | ["We are given:\n\"61. Write balanced chemical equations for the following reactions.\" It gives:\n((...TRUNCATED) | ["We are given 61, which is problem no. In detail:\n\n\"61. Write balanced chemical equations for th(...TRUNCATED) | "We are asked: \"61. Write balanced chemical equations for the following reactions.\n(a) beryllium h(...TRUNCATED) | [{"from":"human","value":"61. Write balanced chemical equations for the following reactions.\\n (a(...TRUNCATED) |
"5. The difference in the oxidation numbers of the two types of sulphur atom in \\(\\text{Na}_2\\tex(...TRUNCATED) |
organic-chemistry-questions
| "Given compound: \\(\\text{Na}_2\\text{S}_4\\text{O}_6\\) (Sodium tetrathionate)\n\n---\n\n### Step (...TRUNCATED) | 440 | 2,071 |
Chemistry
| "\n\nTo determine the difference in the oxidation numbers of the two types of sulfur atoms in \\(\\t(...TRUNCATED) | "Okay, so I need to figure out the difference in oxidation numbers of the two types of sulfur atoms (...TRUNCATED) | null | null | null | null | null | null | null | null | null | null | null | "The question involves understanding the oxidation states of sulfur atoms in a specific compound (Na(...TRUNCATED) | true | 645 | ["We are asked: \"5. The difference in the oxidation numbers of the two types of sulphur atom in \\((...TRUNCATED) | ["We are asked: \"5. The difference in the oxidation numbers of the two types of sulphur atom in Na2(...TRUNCATED) | "We are asked: \"The difference in the oxidation numbers of the two types of sulphur atom in \\(\\te(...TRUNCATED) | [{"from":"human","value":"5. The difference in the oxidation numbers of the two types of sulphur ato(...TRUNCATED) |
"Let's say that I have a generating functional $Z[J]$ defined as:\n\\begin{equation*}\nZ[J]=\\int \\(...TRUNCATED) |
stackexchange-physics
| "Let's carefully analyze the issue you've brought up.\n\n---\n\n### Recap of your setup:\n\nYou have(...TRUNCATED) | 588 | 8,571 | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | 2,939 | ["User describes a generating functional Z[J] is defined as an integral of e^(iS[ϕ] + i int d^4x J (...TRUNCATED) | ["User describes a generating functional Z[J] is defined as an integral of e^(iS[ϕ] + i int d^4x J (...TRUNCATED) | "User provides some content: Let's provide detailed explanation summarized:\n\nUser states: \"Let's (...TRUNCATED) | [{"from":"human","value":"Let's say that I have a generating functional $Z[J]$ defined as:\n\\begin{(...TRUNCATED) |
"On page 577 of Shankar's 'Principles of Quantum Mechanics' the author gives the Schrodinger propaga(...TRUNCATED) |
stackexchange-physics
| "Let's carefully analyze the question.\n\n---\n\n**Given:**\n\n- The Schrödinger propagator without(...TRUNCATED) | 20 | 7,993 | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | null | 3,768 | ["We are asked: \"On page 577 ... of Shankar's text, he gives the Schrödinger propagator (1). Equat(...TRUNCATED) | ["We are given problem: \"How do we know or show that equation (5) is true?\" from text Shankar's bo(...TRUNCATED) | "We are given problem: \"How do we know or show that equation (5) is true?\" from text Shankar's boo(...TRUNCATED) | [{"from":"human","value":"On page 577 of Shankar's 'Principles of Quantum Mechanics' the author give(...TRUNCATED) |
"Select correct statement(s) regarding σ and π-bonds: \\n (a) σ-bond lies on the line joining(...TRUNCATED) |
organic-chemistry-questions
| "Let's analyze each statement one by one:\n\n**(a) σ-bond lies on the line joining the nuclei of bo(...TRUNCATED) | 244 | 1,968 |
Inorganic Chemistry
| "\n\nThe correct statements regarding σ and π-bonds are:\n\n**(a) σ-bond lies on the line joining(...TRUNCATED) | "Okay, let's tackle this question about sigma and pi bonds. I need to figure out which statements ar(...TRUNCATED) | null | null | null | null | null | null | null | null | null | null | null | "The question pertains to the nature of chemical bonding, specifically discussing sigma (σ) and pi (...TRUNCATED) | true | 2,547 | ["We are asked: \"Select correct statement(s) regarding sigma (σ) and pi (π) bonds: (a) σ-bond li(...TRUNCATED) | ["We are asked to \"Select correct statement(s) regarding σ and π-bonds:\" statements provided wit(...TRUNCATED) | "We are given questions on sigma and pi bonds and four statements relating to them. We question prob(...TRUNCATED) | [{"from":"human","value":"Select correct statement(s) regarding σ and π-bonds: \\n (a) σ-bond(...TRUNCATED) |
(y^2 + yx) dx + x dy = 0
|
organic-chemistry-questions
| "Given the differential equation:\n\n\\[\n(y^2 + yx) \\, dx + x \\, dy = 0\n\\]\n\nLet's solve it st(...TRUNCATED) | 100 | 10,789 |
Differential Equations
| "\n\nTo solve the differential equation \\((y^2 + yx) dx + x dy = 0\\), we start by checking if it i(...TRUNCATED) | "Okay, so I need to solve this differential equation: (y² + yx) dx + x dy = 0. Hmm, let me see. Fir(...TRUNCATED) | null | null | null | null | null | null | null | null | null | null | null | "The question involves a differential equation which can relate to organic chemistry, particularly i(...TRUNCATED) | true | 2,044 | ["We are provided with the differential equation:\n\n(y^2 + yx) dx + x dy = 0.\n\nI need to interpre(...TRUNCATED) | ["User gave an equation: \"(y^2 + yx) dx + x dy = 0\". I assume the problem is to solve or what? The(...TRUNCATED) | "The user asks: \"(y^2 + yx) dx + x dy = 0\". We need to parse what it is likely asking. \nUser mess(...TRUNCATED) | [{"from":"human","value":"(y^2 + yx) dx + x dy = 0"},{"from":"gpt","value":"The user asks: \"(y^2 + (...TRUNCATED) |
"Let's say we have 100 ml of H2SO4 solution and it contains 0.49 g of H2SO4.\\n- What is Molarity?\\(...TRUNCATED) |
organic-chemistry-questions
| "Let's analyze the given data step-by-step.\n\n---\n\n### Given:\n- Volume of solution = 100 mL = 0.(...TRUNCATED) | 904 | 2,123 |
Chemistry
| "\n\n- **Molarity (M):** \n Molarity is calculated as moles of solute per liter of solution. \n (...TRUNCATED) | "Okay, let's see. I need to find the molarity, molality, and normality of a sulfuric acid solution. (...TRUNCATED) | null | null | null | null | null | null | null | null | null | null | null | "The question involves calculations related to a specific chemical compound (H2SO4) and requires kno(...TRUNCATED) | true | 1,168 | ["We are asked: \"Let's say we have 100 ml of H2SO4 solution and it contains 0.49 g of H2SO4.\\n- Wh(...TRUNCATED) | ["We are asked: \"Let's say we have 100 ml of H2SO4 solution and it contains 0.49 g of H2SO4.\\n- Wh(...TRUNCATED) | "We are asked: \"Let's say we have 100 ml of H2SO4 solution and it contains 0.49 g of H2SO4\n- What (...TRUNCATED) | [{"from":"human","value":"Let's say we have 100 ml of H2SO4 solution and it contains 0.49 g of H2SO4(...TRUNCATED) |
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