formatted
listlengths 2
2
|
|---|
[
{
"content": "Statement: 'A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx' \nRewritten Statement: \"A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx\\,\\hat{\\mathbf{x}}$\" \nThe task was to rewrite the statement in latex using correct units and commonly used notations based on consistent conventions in the field to improve clarity. Identify the mistake you made and rewrite the statement again.",
"role": "user"
},
{
"content": "Rewritten Statement: \"A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx$\"\nExplanation: I am not allowed to add or remove formula, notations, variables or symbols. I am only allowed to substitute existing notations, variables or symbols.",
"role": "assistant"
}
] |
[
{
"content": "Statement: 'A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx' \nRewritten Statement: \"A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx\\,\\hat{\\mathbf{x}}$\" \nThe task was to rewrite the statement in latex using correct units and commonly used notations based on consistent conventions in the field to improve clarity. Identify the mistake you made and rewrite the statement again.",
"role": "user"
},
{
"content": "Rewritten Statement: \"amplitude $A$ and frequency $\\omega$\"\nExplanation: I am not allowed to add or remove formula, notations, variables or symbols, such as adding \"$A=e$\" and \"$\\omega = m$\". I am only allowed to substitute existing notations, variables or symbols, such as replacing $e$ with $A$ and replacing $m$ with $\\omega$. I must strictly retain the original wording, sentence structure and wording and not introduce new words nor paraphrase.",
"role": "assistant"
}
] |
[
{
"content": "Statement: 'A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx' \nRewritten Statement: \"A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx\\,\\hat{\\mathbf{x}}$\" \nThe task was to rewrite the statement in latex using correct units and commonly used notations based on consistent conventions in the field to improve clarity. Identify the mistake you made and rewrite the statement again.",
"role": "user"
},
{
"content": "Rewritten Statement: \"$k$ is a positive constant\"\nExplanation: I am not allowed to add units and new words such as \"with units of $\\mathrm{N/m}$\" as they are not provided in the first place. I am only allowed to substitute existing notations, variables or symbols. I must strictly retain the original wording, sentence structure and wording and not introduce new words nor paraphrase.",
"role": "assistant"
}
] |
[
{
"content": "Statement: 'A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx' \nRewritten Statement: \"A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx\\,\\hat{\\mathbf{x}}$\" \nThe task was to rewrite the statement in latex using correct units and commonly used notations based on consistent conventions in the field to improve clarity. Identify the mistake you made and rewrite the statement again.",
"role": "user"
},
{
"content": "Rewritten Statement: \"Consider a system of $N$ noninteracting particles confined in a volume $V$ at a temperature such that the particles obey classical Boltzmann statistics.\"\nExplanation: I am not allowed to add new equations or notations such as \"volume $V=s$ and \"temperature $T$\" as they are not provided in the first place. I am only allowed to substitute existing notations, variables or symbols, such as replacing $s$ with $V$. I must strictly retain the original wording, sentence structure and wording and not introduce new words nor paraphrase.",
"role": "assistant"
}
] |
[
{
"content": "Statement: 'A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx' \nRewritten Statement: \"A particle is constrained to move along the $x$-axis under the influence of the net force $\\mathbf{F} = -kx\\,\\hat{\\mathbf{x}}$\" \nThe task was to rewrite the statement in latex using correct units and commonly used notations based on consistent conventions in the field to improve clarity. Identify the mistake you made and rewrite the statement again.",
"role": "user"
},
{
"content": "Rewritten Statement: \"When a narrow beam of monoenergetic electrons impinges on the surface of a single metal crystal.\"\nExplanation: I am not allowed to add new words nor add new equations or notations such as \"with energy $E$\" as they are not provided in the first place. I am only allowed to substitute existing notations, variables or symbols. I must strictly retain the original wording, sentence structure and wording and not introduce new words nor paraphrase.",
"role": "assistant"
}
] |
README.md exists but content is empty.
Use the Edit dataset card button to edit it.
- Downloads last month
- 0