^{\infty}(\mathbb{P}^r)$ and then seeing how each part is glued to each other after taking the $Map_{rat}(\mathbb{A}^m,-)$.

A: In Gaitsgory's setup,  $Rat(X,Y)$ is not really a topological space (its an algebraic prestack).  If you want to think about it topologically, then it is probably best to think of its associated homotopy type.
By definition, this homotopy type obtained as a homotopy colimit over the category $fset^{op}$  of finite sets and surjections of the following functor to $Top$:   $$I \mapsto \{ f \in X^I,  ~ g:(X-f(I)) \to Y \text{ regular}\},$$ where a surjection $h : I \to J$ acts by $(f,g) \mapsto (f \circ h, g)$.
A slightly tricky thing to extract is how the space assigned to $I$ is topologized,  since it is inherently infinite dimensional.  The idea is that it is naturally a union of finite dimensional topological spaces, which can be identified as schemes,  and then the whole space is topologized as a colimit of the topological spaces underlying those schemes.   More concretely, consider the space of regular maps $X - f(I) \to Y$ that have poles of order at most $n$ and take the union as $n \to \infty$.
Note that this whole setup is not at all equivalent to the setting that KhashF  mentioned.  In his sense, the space of degree $d$ rational maps  $f: \mathbb P^1 \to \mathbb P^n$  is the same as the space of degree $d$ algebraic maps $f: \mathbb P^1 \to \mathbb P^n$,  which is far from contractible.  (In fact Segal proved that as $d \to \infty$  the homology of this space converges to the space of continuous maps $\mathbb P^1 \to \mathbb P^n$,  which has nontrivial homology).
Welcome to the XVIth International Symposium on Cholinergic Mechanisms (ISCM-XVI), scheduled for December 8th-13th, 2019. The symposium will be held in the Lopatie Conference Center on the campus of the Weizmann Institute of Science, in Rehovot, Israel.
The first International Symposium on Cholinergic Mechanisms (ISCM) was organized by the late Edith Heilbronn. It took place in Skokloster, Sweden, in 1970. The ISCMs have been held triennially since then, the most recent being ISCM-XV, in Marseille, in October, 2016. The principal objective of these conferences is to survey progress in the understanding of the molecular, cellular, pharmacological, toxicological, behavioral and clinical aspects of the cholinergic system, and to bring fundamental and applied scientists together so as to survey and discuss the most recent developments in cholinergic research. It has also been a tradition to publish the proceedings, so as to provide a comprehensive picture of the cholinergic field at the time of the symposium.Nicolas Albizzatti leads the firm’s Leadership Advisory Services in the North and South American regions. He specializes in executive assessment, CEO succession, leadership development and large scale organization transformations. He works regularly with boards and senior management to evaluate the readiness and capabilities of their executive teams and organizations, and to develop action plans to prepare top leaders for critical roles.
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Prior to joining Spencer Stuart, Nicolas worked for McKinsey & Company, where he was a leader in the firm’s organization practice and post-merger management, advising programs around the world.
A native of Argentina, Nicolas has lived and worked throughout the Americas, Europe and Asia. He graduated from Florida International University with a degree in civil engineering and earned an M.B.A. from the University of Miami. He speaks English, Spanish and Portuguese.
Abstract: We have worked out a quantization method directly from classical dynamics without using Hamiltonian and Lagrangian functions; we call it dynamical quantization. The present article compares such a method with the Dirac and Feynman quantization procedures and also verifies the logical consistence of the dynamical quantization calculating the classical limit of a Brownian particle, for example.
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So I'm your average level 5 fighter with 18 str, a d12 Maul or greataxe, and the great weapon master feat. That -5 for 10 damage is a pretty sweet deal, but when exactly is it worth it? What if I have advantage, or bless?

Behold, math shall solve this issue: http://anydice.com/program/68dd

To make it legible, click "graph" then look at the table on the lower right. The output is formatted as "name (mean / std dev)" and we care about the mean, because that's your average damage taking into account crits and misses and everything. I used "power" attack to indicate using -5/+10 because it's shorter than great weapon master. 

To get the "power attack below this AC" number, look at the mean damage for the same AC in the same situation. You should pretty much always power attack if you have advantage and bless, for example. Another thing to note is the high deviation on the power attacks, because of all the missing you're gonna be doing.

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