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8h
comment Practical use for negative $dt.$
If "dt" is just a subset of a typographical painting, as in ${dy\over dt}$, it doesn't make sense to ask whether it is positive or negative. But as soon as $dt$ is a variable or function related in a particular way to the "primary" variable or function $t$ there is no reason to stipulate $dt>0$ as a general law.
9h
comment Counting the maximum number of intersections.
@Michael: Thank you for spotting my blunder. I have edited my answer.
9h
revised Counting the maximum number of intersections.
added 533 characters in body
9h
answered Counting the maximum number of intersections.
10h
comment Line integral - direction of traversal
One has to distinguish between the unsigned arc length measure ${\rm d}s$ and the differential $ds$ of the arc length function along $C$. The first does not change sign when reversing the direction of transversal, the latter does.
11h
revised Proving a function is continuous and periodic
added 523 characters in body
14h
comment What is the actual definition of a function?
@Jared: Your comment is utterly condescending and detrimental.
2d
answered Let $v_{1}=(1,-2,3),v_{2}=(0,-1,2)$. Enlarge $\{v_{1},v_{2}\}$ to a basis for $\mathbb{R}^3$.
2d
answered Prove that a second order diff. eq. has only two linearly independent solutions.
2d
comment what would a planetary orbit look like if gravity had constant magnitude?
From the title of your question and your pictures I got the impression that you are primarily interested in the shape of these curves.
2d
answered what would a planetary orbit look like if gravity had constant magnitude?
2d
revised Proving a function is continuous and periodic
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Jul
1
answered Proving a function is continuous and periodic
Jun
30
answered Solving a system of non-linear equations with 10 equations and 10 unknowns
Jun
30
answered A simplified formula for area of triangle when equations of the sides are given
Jun
30
revised Is a ball noncompact?
added 80 characters in body
Jun
30
answered Is a ball noncompact?
Jun
30
answered Question about using arbitrary $\epsilon$ in real analysis proofs
Jun
29
answered Solving $\frac{df}{dt}=\frac{i\cdot f}{|f|}$ where $f: \mathbb{R^+} \mapsto \mathbb{C}$