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– B: background color
– N: ambient lights
– T: main highlights
– L: background lights
– M: main lights
– E: shadow
– K: colorize
– S: adjust luminosity
– X: colorize edges
-.: include color mode in the name
– +: add to color mode
A:
If you are on Windows with Photoshop, check out some of the free (no-Adobe-subscription) stuff I found:
Elements:
And there are a few others which I can’t remember the URLs for right now but I’ll add them in later if I can find them.
A:
One that I’ve found really handy for the PSD editor is PixelateX. It gives you the most commonly used tools and a lot of them are pixel-centric.
Q:
How to get all $1$-forms of a given degree
Let $U subseteq mathbb{C}^n$ be an open set. Consider a closed form $omega in Omega^1(U)$ of degree $k$. How can one get all the forms $omega’$ of degree $k$ such that $omega – omega’$ is exact?
I can only think of applying the standard scalar multiplication to the equality $omega = omega’+d(u)$ with $u in Omega^0(U)$ and solving for $omega’$. However, this seems quite cumbersome.
A:
Consider the surjective $mathbb{C}$-linear map $$Omega^{k}(U) to bigoplus_{p+q = k} Omega^{p,q}(U) ;, ; omega mapsto left(omega wedge beta mapsto int_beta omegaright) ;.$$
If $omega = dbeta$, then $beta$ is of type $(p,q)$ if and only if the image of $omega$ is not contained in $Omega^{p+1,q}(U)$. Thus if 70238732e0
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