identities allows another number to retain its identity after an operation.

What identities are applicable is group dependent. Identities are almost always object dependent.

<> NUS-HIST301 American History

The idea of identity politics is proposed, that politics became associated with sub-population of identities:

• Black Pride Movement
• Chicano Activism
• The American Indian movement
  • Termination of reservation system
  • Pan-Indian Rights
  • Alcatraz and Wounded Knee Occupations
• LGBT movement
  • Stonewall
  • GLF starts marching
• Asian American
  • Yellow Peril
  • Model minority movement
• NOW Femanism Acts
  • The Equal Rights Act almost possible, and then Phyllis Schlafly happened
• Environmental Movement
  • Silent Spring
  • Cuyahoga River on fire
  • Richard Nixon creates the EPA
  • Earth Day

to prove that something goes both ways: given \(A\Rightarrow B\), and \(A \Leftarrow B\), \(A \Leftrightarrow B\).

We really really want to prove:

\begin{equation} \text{BPP} \subseteq \text{P} \end{equation}

which will give \(\text{P} = \text{BPP}\).

How about we replace the truly random bits on the random tape \(r \in \qty {0,1}^{\text{poly}\qty(|x|)}\) with “pseudo-randomness” bits and prove that \(M\) can’t tell the difference.

Namely, a thing that is “pseudo-random” is easier to brute force over. So, we ideally can brute force over \(\text{poly}\qty(n)\) many outcomes instead of \(2^{\text{poly}\qty(n)}\) in the case of true randomness.

v-structure whose parents are unconnected are immoral

This is immoral:

This is moral