Why are squares, square-roots, and second-order differentials, common in natural laws, but not cubes, cube-roots, and higher order effects?
79160
Why do most formulas in physics have integer and rational exponents?
68315
Why doesn't multiplying square roots of imaginary numbers follow $\sqrt{a} \times \sqrt{b} = \sqrt{ab}$?
71726
When can we not treat differentials as fractions? And when is it perfectly OK?
123911
Why is the derivative of a vector orthogonal to the vector itself?
30725
Why are naturals < modulus equal if congruent? [uniqueness of remainder]
30723
Second derivative "formula derivation"
24688
Why are $i$ and $-i$ "more indistinguishable" than $\sqrt{2}$ and $-\sqrt{2}$?
77369
Reason behind standard names of coefficients in long Weierstrass equation
25779
Constants of motion vs. integrals of motion vs. first integrals
76024
Are there examples of third-(or higher)-order linear differential equations in physics or applied mathematics?
51771
Why General Leibniz rule and Newton's Binomial are so similar?
106716
The sum of square roots of non-perfect squares is never integer
118012
Meaning of different Orders of Derivative
134313
Why is the well ordering principle counter-intuitive?
48756
Why are derivatives in interaction terms treated differently from derivatives in the kinetic term?
74885
How is Leibniz's rule for the derivative of a product related to the binomial formula?
100283
How to understand the notion of a differential of a function