Alright, future engineers!
**Degree (of a vertex):** The number of edges connected to that vertex in a graph.
Ex: In a social network, your degree is the count of your direct friends.
Pro-Tip: The sum of all degrees in a graph is always twice the number of edges!
#GraphTheory #Networks #STEM #StudyNotes

Alright, future engineers!
**Conditional Probability:** P(A|B) is the prob of event A, given event B has already happened.
Ex: P(A|B) = P(A & B) / P(B). Think: Prob of engine failure *given* low oil pressure.
Pro-Tip: Essential for Bayesian inference & diagnostics!
#Probability #Bayes #STEM #StudyNotes

Alright, future engineers!
**Newton-Raphson Method:** Iteratively finds a function's root (where f(x)=0).
Formula: `x_n+1 = x_n - f(x_n)/f'(x_n)`
Pro-Tip: A good initial guess is crucial for rapid convergence!
#RootFinding #NumericalMethods #STEM #StudyNotes

Alright, future engineers!
**Logarithm:** The exponent you raise a base to get a certain number. `log_b(x) = y` means `b^y = x`.
Ex: `log_10(100) = 2` (because `10^2 = 100`).
Pro-Tip: They turn multiplication/division into addition/subtraction – super useful for simplifying!
#Algebra #MathTips #STEM #StudyNotes

Alright, future engineers!
**Newton's 2nd Law:** Net force on an object equals its mass times acceleration.
Ex: F_net = ma. Pushing a car faster requires more force.
Pro-Tip: Force & acceleration are *always* in the same direction! Vital for dynamic system design.
#Dynamics #Forces #STEM #StudyNotes

Alright, future engineers!
**Matrix Multiplication:** Combines matrices. Each element is the dot product of a row from the 1st & a column from the 2nd.
Ex: `C_ij = Sum(A_ik * B_kj)`.
Pro-Tip: Inner dimensions MUST match (m x *n* and *n* x p)! No match, no multiply.
#LinearAlgebra #MatrixOps #STEM #StudyNotes

Alright, future engineers!
**Modular Arithmetic (a mod n):** Finds the remainder when 'a' is divided by 'n'. Numbers wrap around.
Ex: 7 mod 3 = 1 (because 7 = 2*3 + 1).
Pro-Tip: Crucial for time math (clocks!), cryptography, and hashing algorithms.
#DiscreteMath #CompSci #STEM #StudyNotes

Alright, future engineers!
**Pomodoro Technique:** Focus intensely for short periods (e.g., 25 mins), then take a 5 min break.
Ex: 25min study, 5min break, repeat.
Pro-Tip: It combats mental fatigue & maintains peak concentration for tough STEM topics!
#FocusHacks #StudyFlow #STEM #StudyNotes

Alright, future engineers!
**Momentum (p):** A measure of an object's 'quantity of motion', given by its mass times velocity.
Ex: `p = mv`. A heavy truck moving slowly has high momentum.
Pro-Tip: It's a vector! Direction matters. Think collisions!
#Physics #Mechanics #STEM #StudyNotes