Can anybody see where I’m going wrong here? I know $\omega$ has to be inter solution but seemingly it vanished when I calculate the eigenvalues and thus doesn’t show back up in the answer. Any help?
@cocomac if you carry out this experiment, at beginning the heat energy inside the can absorbed by the water is less but enough to vaporize, It exerts pressure on all the sides, if the can is wide open it will rise up as it is, but the vapor is directed to exit through a small hole in which the pressure builds up and in turn convert into kinetic energy, the vapor travels through the tube on left, which will hit the turbine.
it will definitely rise up, after it loses the gained kinetic energy
@KavinIshwaran Neat, thanks! Just wondering, if I make the tube smaller (not in length, but in interior diameter), will the steam come out faster, causing it to spin faster?
@cocomac A slightly less diameter than the one in the image should be ideal, remember that very less diameter will eventually slow the thrust, to make the turbine spin faster, keep it closer, and make the angle of attack of the turbine blades in an equilibrium.
Isn't it ironic how evolution developed positive dopamine and serotonin releases on reproductive activities in humans to "encourage" reproduction, and for most of history it worked, humans reproduced because it felt good (positive neurochemical reinforcement) and now humans use condoms and in a way cheat the system to get positive neurochemicals while not reproducing (screwing up evolution) and yet it's evolution that developed the brain that developed the condom.
I learned yesterday that left-handedness (I'm left-handed) is somewhat genetic and reflects the balance between competitiveness and cooperation in a society. Left-handed people have a competitive advantage (e.g. can confuse the opponent) and a cooperative disadvantage (e.g. tools are made for the right-handed majority) so in a society that has 10% left-handed people means that cooperation is a lot more present
killing is bad and immoral because evolution has figured out that if you discourage such behaviour, you have a higher chance to pass those "peaceful" genes, no?
if people are (somewhat) rational agents, they can do enough game theory to reach states where they prohibit killing their in-group without any inherited propensity to do so
Also another thing to keep in mind is that humans live in groups and it's quite likely that on an evolutionary level, it's common for humans to evolve different personalities
Since different behaviours can be useful at different times
and then you also get cultural ("memetic") evolution where you have ideological groups that prohibit killing members of that group, and which spread via systems mostly unconnected to genetic evolution
we've talked about this before - the idea that all human behaviour can be viewed through the narrow lens of genetic evolution is at best overly simplistic, at worst pseudo-science
The behaviour of people is roughly described by the structure of their neural net in their brain, with about 100 billion neurons and up to 10,000 connections for any given neuron, also each neuron is affected by the levels of neurotransmitters and also each individual has neurotransmitter receptors that are constructed differently
whenever you can avoid it, you should avoid getting into time-dependent Hamiltonians :P
there's nothing natural about them and solving problems involving them is always annoying, so if you have a different way of solving the problem you're actually trying to solve, take that one
the problem is that the time-dependence destroys all the power :P
you can still determine eigenvectors at every instant, but there's nothing nice about how they evolve, in particular they're not just evolving with a phase
> This challengeable project is to accurately measure and evaluate gravitational acceleration with ultracold atoms and Bose-Einstein condensates for studying climate change.
Did they just add "climate change" to get funding? Or is there a real purpose?
Hey all! Apologies for the dumb question but if I start with the langragian (not its density) and add $L '= L + \int c dt$ where $c$ is a constant. How do I get the cosmological constant from this?