Well, wouldn't the program itself be an input on which a human is unable to determine the result (i.e., if the program halts)? I'm curious on your thoughts here, maybe there's something here I'm missing. The function we…
it's a _necessary_ but _not sufficient_ condition for a recession. so it does provide you information. if the yield curve does not invert, it is unlikely there will be a recession.
lepton number does not need to be conserved. it is an approximate symmetry of nature. if lepton number were conserved, neutrinos could not oscillate. quarks, the particles composing protons and neutrons, have fractional…
mesons are composed of two quarks and can have neutral or non-neutral charge. baryons are composed of three quarks and can have neutral or non-neutral charge. both mesons and baryons are classified as hadrons charge,…
I'm not sure what courses they had in mind, but Victor Shoup (one of the authors of the OP) has a book on number theory and algebra that goes over probability. That would probably be most useful if your goal is to study…
a huge part of it is trying to solve / formulate easier versions of the problem, or problems that are similar or related to the original problem. Or making some stronger assumptions to get rid of the clutter / all of…
but then the heap would grow down in such a diagram... btw my understanding is that the heap came first in the logical development of C and other systems programming. so it made sense to have .text and other program…
agreed that pivoting can be a pain. a pattern that i converged on --- at least in postgres --- is to aggregate your data into json objects and then go from there. you don't need to know how many attributes (columns)…
XOR is used a ton in the theoretical underpinnings of cryptography. It's used in the one time pad which is essentially the "smallest" cryptographic scheme that is perfectly secure (perfectly secure has a mathematical…
chess is actually not very easy to check. chess is in exp, the class of problems requiring exponential time to solve and exponential time to check. unlike p vs np we do know that exp \neq p.
i second tristan needham's visual complex analysis. some other good ones: * the one we used in my undergrad course was fisher's complex variables which is great if you're learning for the purposes of applications. it's…
you might be able to do something like "predict the next prime number" or "predict the next zero of the Riemann zeta function". you could try something like this for statements in a formal axiomatic system, but know…
think more like you're on the surface of the balloon as it's getting inflated. the "fabric" or elastic material on which you're standing is the thing that's expanding while the balloon inflates. you're still constrained…
hah i was taught that style is "pointless"... it comes from topology, no?
Incidentally one of the biggest benefits I see of using a text editor like vim / emacs is that it really encourages good code management. It's not to save the ~10 minutes per year in faster key strokes to manipulate…
probably circuit satisfiability and related hard problems are all reducible to each other
hah yeah "dynamic programming" has turned out to have a fortunate name
not necessarily. it could. but if x and y are truly uncorrelated variables that are observed with unlimited precision, then you still would not reject the null that they are uncorelated
i think it's largely culture. academics are "graded" based on how many papers they publish. depending on your geography, quality matters too. but in most cases they aren't measured by how much non-peer reviewed…
You are right that Raft and Paxos provide for distributed consensus. However, they don't do so in an open, byzantine environment where some fraction of the nodes in the network may not be honest. edit: there are…
makes sense! fwiw, i have not tried to use libreoffice for any heavy lifting, unfortunately (fortunately?). i tend to use bash utils for that, and i 100% do not think telling people to "just use grep / awk / perl and…
LibreOffice Calc is free and doesn't corrupt data. It also has full support of UTF8
i wonder if it's a folk theorem kind of thing? i heard something similar from one of my physics professors back in undergrad
also because there is a fixed amount of land (like literally the surface of the earth occupies a finite area at least on human time scales) and because building housing stock takes time and because of zoning…
a slumlord could then just hike the rent up by ubi(ish) dollars oh, all my tenants have an "extra" $2,000 a month? they can pay more. housing is inelastic so tenants are the ones who have to bear the increase.
Well, wouldn't the program itself be an input on which a human is unable to determine the result (i.e., if the program halts)? I'm curious on your thoughts here, maybe there's something here I'm missing. The function we…
it's a _necessary_ but _not sufficient_ condition for a recession. so it does provide you information. if the yield curve does not invert, it is unlikely there will be a recession.
lepton number does not need to be conserved. it is an approximate symmetry of nature. if lepton number were conserved, neutrinos could not oscillate. quarks, the particles composing protons and neutrons, have fractional…
mesons are composed of two quarks and can have neutral or non-neutral charge. baryons are composed of three quarks and can have neutral or non-neutral charge. both mesons and baryons are classified as hadrons charge,…
I'm not sure what courses they had in mind, but Victor Shoup (one of the authors of the OP) has a book on number theory and algebra that goes over probability. That would probably be most useful if your goal is to study…
a huge part of it is trying to solve / formulate easier versions of the problem, or problems that are similar or related to the original problem. Or making some stronger assumptions to get rid of the clutter / all of…
but then the heap would grow down in such a diagram... btw my understanding is that the heap came first in the logical development of C and other systems programming. so it made sense to have .text and other program…
agreed that pivoting can be a pain. a pattern that i converged on --- at least in postgres --- is to aggregate your data into json objects and then go from there. you don't need to know how many attributes (columns)…
XOR is used a ton in the theoretical underpinnings of cryptography. It's used in the one time pad which is essentially the "smallest" cryptographic scheme that is perfectly secure (perfectly secure has a mathematical…
chess is actually not very easy to check. chess is in exp, the class of problems requiring exponential time to solve and exponential time to check. unlike p vs np we do know that exp \neq p.
i second tristan needham's visual complex analysis. some other good ones: * the one we used in my undergrad course was fisher's complex variables which is great if you're learning for the purposes of applications. it's…
you might be able to do something like "predict the next prime number" or "predict the next zero of the Riemann zeta function". you could try something like this for statements in a formal axiomatic system, but know…
think more like you're on the surface of the balloon as it's getting inflated. the "fabric" or elastic material on which you're standing is the thing that's expanding while the balloon inflates. you're still constrained…
hah i was taught that style is "pointless"... it comes from topology, no?
Incidentally one of the biggest benefits I see of using a text editor like vim / emacs is that it really encourages good code management. It's not to save the ~10 minutes per year in faster key strokes to manipulate…
probably circuit satisfiability and related hard problems are all reducible to each other
hah yeah "dynamic programming" has turned out to have a fortunate name
not necessarily. it could. but if x and y are truly uncorrelated variables that are observed with unlimited precision, then you still would not reject the null that they are uncorelated
i think it's largely culture. academics are "graded" based on how many papers they publish. depending on your geography, quality matters too. but in most cases they aren't measured by how much non-peer reviewed…
You are right that Raft and Paxos provide for distributed consensus. However, they don't do so in an open, byzantine environment where some fraction of the nodes in the network may not be honest. edit: there are…
makes sense! fwiw, i have not tried to use libreoffice for any heavy lifting, unfortunately (fortunately?). i tend to use bash utils for that, and i 100% do not think telling people to "just use grep / awk / perl and…
LibreOffice Calc is free and doesn't corrupt data. It also has full support of UTF8
i wonder if it's a folk theorem kind of thing? i heard something similar from one of my physics professors back in undergrad
also because there is a fixed amount of land (like literally the surface of the earth occupies a finite area at least on human time scales) and because building housing stock takes time and because of zoning…
a slumlord could then just hike the rent up by ubi(ish) dollars oh, all my tenants have an "extra" $2,000 a month? they can pay more. housing is inelastic so tenants are the ones who have to bear the increase.