query: Why is the power of $T$ to the fourth in Stefan's law? Any particular reason?
positive_passages.docid: 146666
positive_passages.text: Intuitive reason for the $T^4$ term in Stefan Boltzmann law
negative_passages.docid: 110011
negative_passages.text: Why $1/r^2$ and not another power of $r$ in Newton's law of gravitation?
negative_passages.docid: 16096
negative_passages.text: What does 1/k represent regarding Newtons Law of Cooling?
negative_passages.docid: 91059
negative_passages.text: Why is $\frac{d^n}{dx^n}(y(x))$ the notation for the $n$th derivative of $y(x)$, instead of $\frac{d^n}{d^nx}(y(x))$?
negative_passages.docid: 66704
negative_passages.text: Period $T$ of oscillation with cubic force function
negative_passages.docid: 158614
negative_passages.text: Laplace transform of $1/t$
negative_passages.docid: 95774
negative_passages.text: $\frac{\partial^2 u}{\partial t^2}-c^2\frac{\partial^2u}{\partial x^2}=0\text{ implies } \frac{\partial^2 u}{\partial z \partial y}=0$
negative_passages.docid: 37028
negative_passages.text: Thermodynamics and the state postulate: should it be a Fourth Law?
negative_passages.docid: 74792
negative_passages.text: $(X,\tau)$ needs to be $T_1$ in order to guarantee that $A'$ is closed?
negative_passages.docid: 2282
negative_passages.text: Why is inductance (L) proportional with turns-square (N²)?
negative_passages.docid: 34758
negative_passages.text: Cancellation Law for Direct Sums - What is wrong with this argument?
negative_passages.docid: 81679
negative_passages.text: Why is $f(4)$ the area under $f'(x)$ specifically from $0$ to $4$ and not for ex from $1$ to $4$ or $2$ to $4$?
negative_passages.docid: 144797
negative_passages.text: Clarification on Clausius Inequality
negative_passages.docid: 105107
negative_passages.text: How to explain the following definition of $\lim\sup s_n$ intuitively?
negative_passages.docid: 151930
negative_passages.text: What does it mean by $t=-1$?
negative_passages.docid: 67993
negative_passages.text: Relation between heat & resistance
negative_passages.docid: 8844
negative_passages.text: Higher-order partial derivatives w.r.t. variable raised to some power