physicsriemann sum Partition of a continuos function over the interval [a,b] into n
sub partitions. The norm is the maximum width of the n sub partitions
The riemann sum for right hand point in sub interval. Could also be an arbitrary point in the
sub interval cSn=∑k=1nf(a+kn(b−a))×(nb−a)
The limit of any Riemann sum is always taken as the norm of the partitions approaches zero and
the number of subintervals goes to infinity.
Leibniz envisioned an infitied sum of function values multiplied by infinitesimal
subintervals of dx. So f(x) represents a continuous selection of function values (as
opposed to f(ck)). The symbol then for J (the definite integral that is approached by
the riemann sum) is ∫abf(x)dx
f is integrable over [a,b] if the riemann sum converges when the norm goes towards 0.
∫abf(x)dx=limn→∞∑k=1nf(ck)(nb−a)
The variable dx represents the real numbers in the closed interval [a,b]. Called the
dummy variable
Lex FridmanpodcastMax Tegmark the value alignment problem as being a fundamental issue
for symbiosis or complimentary AI
thoughts 🤔 computers as the get closer to modelling the brain. Similar to Licklider
with dynamic models of the brain, cooperative problem solving.
You have this ability to not take into account evolutionary self replication traits etc.
when developing AI. Kind of like developing with vacuum tubes vs transistors the
architecture could change completely.
Its great to think that younger people can develop a mindset like this so early, the potential
is immense.
It does take a hit socially.
Joe Rogan Shanna Swan on endocrine disruption from the following article “The truth is, these
reproductive health effects are interconnected, and they are largely driven by a common cause:
the presence of hormone-altering chemicals (a.k.a., endocrine-disrupting
chemicals, or EDCs) in our
world. These hormone-hijacking chemicals, which include phthalates, bisphenol A, and flame
retardants, among others, have become ubiquitous in modern life. They’re in water bottles and food
packaging, electronic devices, personal-care products, cleaning supplies and many other items we
use regularly. And they began being produced in increasing numbers after 1950, when sperm counts
and fertility began their decline.”
{{TODO}} The damaging affects of plastic, its interesting to see how we will solve this
over the next century. Its a space I should look into
Check recycling code of plastic. 4,5,1,2 all the rest are bad for you. Do not microwave food
in plastic.
Earth day, need to keep the faith. Move forward solve problems, dont give up.
I think John could offer maybe his thoughts on some questions I have
I dont really have someone to bounce ideas off or provide any sort of guidance in this
area and I wanted to get the thoughts of someone from Ireland and Galway who I thought
might have thoughts in this area and also with your involvement in the Portershed.
What am I hoping to get out of this conversation?
John’s views on the current state of technology, both globally and in Ireland,
specifically in the startup area and around energy?
Is there a space there for someone like me?
His views on the States, trying to find some sort of community solving problems there. Is
it needed?
Is it feasible to do some sort of masters program in Physics?