Legacy of McCarthyism
Last edited: August 8, 2025Reading notes
:claim: Mccarthyism was a process that de-politicized America
Since political activities could get you in trouble, prudent folk avoided them
Social conformaty became standard
middle-class Americans became social conformists
Communism serves as a form of balance checking, which Mccathyism lost
With their demise, the nation lost the institutional network that had created a public space where serious alternatives to the status quo could be presented.
Moderate-left was also diminished
Moreover, with the disappearance of a vigorous movement on their left, moderate reform groups were more exposed to right-wing attacks and thus rendered less effective.
lemmatization
Last edited: August 8, 2025lemmatization is the act of normalizing words into standard meaning irrespective of word variations in order to do a broader analysis
Length of Basis Doesn't Depend on Basis
Last edited: August 8, 2025Any two basis of finite-dimensional vector space have the same length.
constituents
- A finite-dimensional vector space \(V\)
- Basis \(B_1\), \(B_2\) be bases in \(V\)
requirements
Given \(B_1\), \(B_2\) are basis in \(V\), we know that they are both linearly independent and spans \(V\). We have that the length of linearly-independent list \(\leq\) length of spanning list.
Let’s take first \(B_1\) as linearly independent and \(B_2\) as spanning:
We have then \(len(B_1) \leq len(B_2)\)
Swapping roles:
We have then \(len(B_2) \leq len(B_1)\)
LetsDrive
Last edited: August 8, 2025Autonomously driving is really hard. How do we integrate planning + learning in a close-loop style. We’ll start from the current belief, and construct a tree of all reachable belief state.
Recall DESPOT.
Approach

- learning (b): a neural network which maps the driving history into a policy and value
- planning (a): we will use the neural network’s derived policy and value to run MCTS
- execution (e): execute the actions in a simulator
The data which is obtained using the simulator is used to train the neural network.
level set
Last edited: August 8, 2025occasionally, you can’t really get a specific solution.
\begin{equation} \dv{y}{t} = e^{t}\cos y \end{equation}
after doing the , you get:
\begin{equation} \ln (\sec y + \tan y) - e^{t} = C \end{equation}
you get sets of this function \(F(t,y)\) which shifts it up and down, by any constant C.
But at any given \((t,y)\), you get a slope \(e^{t}\cos y\).
