there was a guy named jonah who was drowning, and god sent a smale to evert next to him so that the water would be on the outside and he would be on the inside
there's some confusion around the scripture in this because it was translated in a way that makes it sound like a sea creature did it
Let $f: M\rightarrow \mathbb{R} $ be a smooth map at $p\in M$ and let $\gamma:(-\epsilon,\epsilon)\rightarrow M$ be a smooth curve with $\gamma(0)=p$. Let $(U,\phi)$ be a chart at $p$. Set, $(\phi \circ \gamma)(t)=(x_1(t),......,x_n(t))$
We claim:
$\frac{d}{dt}|_{t=0}(f\circ \gamma)=\frac{\partia...
my wife and i had different conceptions of the top of the strawberry. i was thinking a green hat. she was thinking a green fringe around the neck. i think that's unrealistic and confusing. strawberry with a head on top?
is that an einstein convention or something? there should be a sum
i drive maybe 2-5 miles/week. day care is 15 miles round trip but i handle only a few days a week and often use my wife's car because it's easier to get the munchkin into
@TedShifrin I typically have to spend about $50 on fuel every week. It is 30 miles each way to my office every day, and the vehicle I have is not efficient. I dream of someday actually owning a car. In that dream, the car gets better than 24 mpg.
@TedShifrin Yar. Right now, I have my father's car (he died, so he isn't using it). When my mother needs a truck, I use her car, which is a not-terribly-old Prius. I much prefer that vehicle.
@TedShifrin Once upon a time, I owned a Leaf. I frickin' loved that car. But that was one of the many vestiges of middle-classness that I lost in the divorce.
the only issue he mentioned was long road trips to the east (up and down california is fine). if you break down in the middle of nowhere in nevada there will be nobody who can fix it.
but that's kinda true for all cars if you're in the middle of nowhere, and it hasn't broken down, so i dunno.
i didn't ask what he was doing out in the desert. best not to know.
does anyone have halloween plans? trick or treating isn't a thing in my neighborhood because there are almost no kids of the right age around. so i was thinking just some mild vandalism.
Is the relationship between bijection and invertibility is important since if a function is not bijective for not being one to one, then that means if we are to invert it, then a value in the range that takes 2 values become a value in the domain that now takes 2 values, which contradicts the definition of a function? Not sure if this is a correct understanding
that makes sense. you can formally invert any set of ordered pairs, including a function, but you won't get a function if the function you started with isn't one-to-one.
