5G beam-steering antennas: more accurate, less power hungry
Taking a new approach to phase shifting antennas increases network range, data rate, and capacity
Mathematicians find wrinkle in famed fluid equations
$$T=\frac{hc^3}{8\pi, GMk}$$
T=temperature
h=Plank’s constant
c=speed of light
G=Newton’s gravitational constant
M=mass of the black hole
k=Boltzmann’s constant
The equation tells us that as the mass of the black hole gets bigger, its Hawking radiation temperature gets lower.
If I do close my eyes, what is it that I picture years from now?
Like Leon said, doesn’t one need to understand that, before they’re ready to fight for their existence?
How would my future fairytale unfold?
Will I finally connect with those I deeply care for?
Will I reunite with old friends long gone?
See the ones I love find true happiness?
Maybe this future includes people I’d never dream of getting close to.
Even make amends with those I have unfairly wrong.
A future that’s not so lonely.
A future filled with friends and family.
You’d even be there.
A world I’ve always wanted.
And you know what?
I would like very much to fight for it.
— Elliot
Kevin Hartnett, Quanta Magazine:
As a result of new work by Amir Ali Ahmadi and Anirudha Majumdar of Princeton University, a classical problem from pure mathematics is poised to provide iron-clad proof that drone aircraft and autonomous cars won’t crash into trees or veer into oncoming traffic.
The guarantee comes from an unlikely place — a mathematical problem known as “sum of squares.” The problem was posed in 1900 by the great mathematician David Hilbert. He asked whether certain types of equations could always be expressed as a sum of two separate terms, each raised to the power of 2.
Mathematicians settled Hilbert’s question within a few decades. Then, almost 90 years later, computer scientists and engineers discovered that this mathematical property — whether an equation can be expressed as a sum of squares — helps answer many real-world problems they’d like to solve.
Yet even as researchers realized that sum of squares could help answer many kinds of questions, they faced challenges to implementing the approach. The new work by Ahmadi and Majumdar clears away one of the biggest of those challenges — bringing an old math question squarely to bear on some of the most important technological questions of the day.
$$ a^n + b^n = c^n $$ $$ n > 2 $$
Fermat’s Last Theorem states that no three integers satisfy the above equation for any integer value greater than 2.
The first principle is that you must not fool yourself — and you are the easiest person to fool.
You have no responsibility to live up to what other people think you ought to accomplish. I have no responsibility to be like they expect me to be. It’s their mistake, not my failing.
I would rather have questions that can’t be answered than answers that can’t be questioned.
Fall in love with some activity, and do it! Nobody ever figures out what life is all about, and it doesn’t matter. Explore the world. Nearly everything is really interesting if you go into it deeply enough. Work as hard and as much as you want to on the things you like to do the best. Don’t think about what you want to be, but what you want to do. Keep up some kind of a minimum with other things so that society doesn’t stop you from doing anything at all.
To those who do not know mathematics it is difficult to get across a real feeling as to the beauty, the deepest beauty, of nature … If you want to learn about nature, to appreciate nature, it is necessary to understand the language that she speaks in.
For a successful technology, reality must take precedence over public relations, for nature cannot be fooled.
― Richard Feynman
Feynman 100: A Celebration of Richard Feynman’s Life and Legacy on the Occasion of his 100th Birthday.
IMHO
ArchLabs has all the preferences that I want. I think I will use this for a long amount of time.