T1B

bungle clone wrote: ↑Tue Apr 01, 2025 12:50 am
be interesting to see what quizzes the rest of youse post from your wheelhouse.

bungle clone wrote: ↑Tue Apr 01, 2025 12:50 am oh good quizzes are a good way to keep one sharp. Thank you Seer for getting the ball rolling.

Mikey is something of a polymath, so hard to say what he might do.

bungle clone wrote: ↑Tue Apr 01, 2025 9:16 pm good one Mikey! I took calculus... just not that calculus

Mikey wrote: ↑Tue Apr 01, 2025 7:19 pm

bungle clone wrote: ↑Tue Apr 01, 2025 12:50 am oh good quizzes are a good way to keep one sharp. Thank you Seer for getting the ball rolling.

Mikey is something of a polymath, so hard to say what he might do.

I actually took this class. Almost 50 years ago.


Here's a quiz on variational methods of optimization, covering key concepts and applications:
Instructions: Answer the following questions to the best of your ability.
Quiz Questions:

1. What is the fundamental principle behind variational methods in optimization?
• (a) Minimizing a function by directly solving for its stationary points.
• (b) Finding the optimal solution by iteratively improving a guess.
• (c) Minimizing a functional by finding the function that makes the functional stationary.
• (d) Solving a system of linear equations.

2. What is a functional in the context of variational methods?
• (a) A function that maps a set of numbers to a single number.
• (b) A function that maps a set of functions to a single number.
• (c) A function that maps a set of points to a single point.
• (d) A function that maps a set of vectors to a single vector.

3. What is the Euler-Lagrange equation, and what is its significance in variational methods?
• (a) A differential equation used to find the stationary points of a functional.
• (b) An algebraic equation used to find the roots of a polynomial.
• (c) A method for solving linear programming problems.
• (d) A method for finding the eigenvalues of a matrix.

4. Consider the functional J[y] = ∫[a,b] L(x, y(x), y'(x)) dx. What does L(x, y(x), y'(x)) represent?
• (a) The Lagrangian, a function of the independent variable, dependent variable, and its derivative.
• (b) The integrand, a function of the independent variable and the dependent variable.
• (c) The boundary condition, a constraint on the solution.
• (d) The derivative of the functional.

5. What is a necessary condition for a function y(x) to be an extremum (minimum or maximum) of a functional?
• (a) y(x) must be continuous.
• (b) y(x) must satisfy the Euler-Lagrange equation.
• (c) y(x) must be differentiable.
• (d) y(x) must be a polynomial.

6. In the context of variational methods, what is a boundary condition?
• (a) A condition that specifies the value of the solution at the endpoints of the interval.
• (b) A condition that specifies the derivative of the solution at the endpoints of the interval.
• (c) A condition that specifies the value of the functional at the endpoints of the interval.
• (d) A condition that specifies the value of the Lagrangian at the endpoints of the interval.

7. What is the principle of least action in physics, and how does it relate to variational methods?
• (a) The principle that the path taken by a physical system is the one that minimizes the action.
• (b) The principle that the path taken by a physical system is the one that maximizes the action.
• (c) The principle that the path taken by a physical system is the one that minimizes the energy.
• (d) The principle that the path taken by a physical system is the one that maximizes the energy.

8. What is the main advantage of using variational methods for optimization?
• (a) They are always computationally efficient.
• (b) They can handle non-differentiable functions.
• (c) They can handle high-dimensional problems.
• (d) They can find global optima.

9. What is the main limitation of using variational methods for optimization?
• (a) They are not applicable to problems with constraints.
• (b) They are not applicable to problems with multiple variables.
• (c) They can be computationally expensive.
• (d) They can only find local optima.

10. Which of the following is an example of a problem that can be solved using variational methods?
• (a) Finding the shortest distance between two points.
• (b) Finding the maximum value of a function.
• (c) Finding the optimal control for a dynamic system.
• (d) All of the above.

bungle clone wrote: ↑Tue Apr 01, 2025 12:50 am oh good quizzes are a good way to keep one sharp. Thank you Seer for getting the ball rolling.

Sorta hearkens back to the old "OCMike's Hump day Challenge" from yesteryear.


https://mail.theoneboard.com/board/view ... 662d2f597e

here's one concerning my favorite subject:




I got all of 'em correct. Well, the level of competency this vid is testing, zero excuses if I don't.


be interesting to see what quizzes the rest of youse post from your wheelhouse.

maybe Seater can find a good quiz about aviation?

m2 could post one testing knowledge of The City?

HighPlainsGrifter could dig one up about the finer points of being a ruthless capitalist industrialist pig bent on crushing the souls of the proletariat?


Smackie Chan know any good music quizzes?


I'm sure mvscal could proffer an apt history exam.

Roux and 88 with a law test?

Mikey is something of a polymath, so hard to say what he might do.

I"m typing Python's nic just so he's on the list here.

it's up to wolf-O to work up a graffiti quiz.

kcdave might regale us with one about cooking

Diego could do a kindness with a politics quiz vid

Sven, our economist should be able to get us one that tests our skills concerning micro and macro

phibes is the poster best suited to bring us the Canadian quiz, which all of the rest of us will fail mainly because you know, Canada is just a fictional place featured on South Park




good thing AP isn't around because I doubt anyone is interested in his expertise...

Mikey wrote: ↑Tue Apr 01, 2025 10:17 pm Here's one for Sam

am i trans?

Quiz introduction
making this for people who are struggling to figure out if they're trans or not who aren't getting much help out of quizzes that ask obvious stuff like "do you secretly wish you were a different gender?" ||| disclaimer: these questions and answers are based on my own experience with gender and dysphoria, so take all of this with a grain of salt and don't worry if some of the answers don't feel quite right. let's be real, the quiz itself isn't where you'll find the actual answer, it's how taking it makes you feel that will ||| last edited 3/7/24, sorry if the formatting is a little weird || if you need someone to talk to afterwards, my messages are always open over on tumblr @gibbearish

https://uquiz.com/quiz/dyY2ZQ/am-i-trans

Sudden Sam wrote: ↑Thu Apr 17, 2025 8:55 pm Obviously the kid in Dallas who shot schoolmates should be released with no charges. He felt threatened.

Same with the kid who stabbed a young man to death. Everyone should carry a large knife to a track meet.

Why are these innocents being held?

Sudden Sam wrote: ↑Thu Apr 17, 2025 10:48 pm I’m confused as to how you’re interpreting things today so I think I’m going to do the last few shrooms that I’ve had stashed for about a year. maybe I can catch up with you.

Sudden Sam wrote: ↑Fri Apr 18, 2025 2:14 am Like he’d take your head off with a hatchet crazy.

The Seer wrote: ↑Fri Apr 25, 2025 10:35 pm "Entrepeneur High School"

Rootbeer wrote: ↑Fri Apr 18, 2025 3:24 am


Some folks calls it a Geronimo blade but I calls it a Kai-zer blade.