Question
If modelers work with snapshots, does that mean time always needs to be frozen?
No
Snapshots can even have change itself as a variable.
A slice of change can depend on a frozen attribute, or,on other slices of change of other attributes.
How big is this slice? Since we are talking snapshots, the slice cannot be any slice, it is usually the smallest slice, or the infinitesimal slice. "Change in population depends on the current population size" - here population change is a slice. dp(t)/dt = k p(t).
BTW, usually this part of Calculus, D. Equations are not shown to students until much later in their education, they are forced into some rote on taking derivatives etc. That is not the essence of this field - Newton didnt develop Calculus so he could "take derivatives" all day. He invented it to model planetary motion.
Question
So all this quantum worlds, possibilities is bullshit, what about this fork in the road stuff. I had one in my life, I had to choose A or B - I chose B, and I am now, like, a stockbroker. I could have been a washmachine repairman.
No you wouldn't
My old man tells us a story sometimes - apparently at certain point in school he had a choice between going to medical school or studying engineering, in agriculture. He chose the latter, now he says "son, if I became a doctor, I would have been the rich as king" (in a Turkish accent of course). I mean, sure, it is true doctors in TR were in high demand at certain point, so it is understandable pops thinks if that particular road was followed, he'd be richer. But could he have done it? When I profiled him it turned out he had this particular attribute called Free To Roam. These people need open spaces, be able to move around, physical freedom of movemement is very important for them; Working in agriculture, even as an engineer gave my dad an opportunity to be at these open spaces - at these huge industrial farms, or on the road.
The medical alternative would have required him to spend time in closed spaces, and uh.. develop some bedside manners..Everyone who knows dad knows he'd never be able to do this. Fork in the road? It's an illusion. There really never was one.
Character attributes define likes and dislikes, and these likes and dislikes are very strong. "A man will do as he will but not will as he will" says the wise man. Dude is right.
Question
If 2008 crisis came out of nowhere, could not be predicted, with the models of that day. That sounds like a Black Swan.
What black swan!?
Graph
See the gray bars (vertical) on the graph above, these are economic crisis points. Every 10 years or so a a crisis arrives.. What black swan is this guy talking about? There are no surprises here.
Question
Some blame the innovation gap for the recent crisis [..]
What innovation gap!?
The exact opposite is happening as a matter of fact - science and engineering is moving at such a breakneck speed people are having a hard-time keeping up. Prices in tech related fields are going down like a rock; DNA sequencing now can be done for 1000 dollars, this used to cost over 250,000 dollars (sequencing single human genome).
This kind of change beats Moore's Law.
Question
On the graph above, the employment rate is shown. But isnt unemployment 6.1%?
It is not
On that graph, the % of people (over 16+) who are working, in proportion to population is at 59%. On another graph we can also see # of people who are between 25-54 years of age and are employed, this count is 95,365 K. US population has 40% of ppl in this age group, then roughly 300000 * .4 / 95365 * 100 = 79% is employed, this is for people who are in working age, not retired, and/or out of school. Then true unemployment is at 21%.
Link
Take for example, Bill O'Reilly's show, "The O'Reilly Factor." O'Reilly had his lowest month since 2001 in the key demo, with 308,000 viewers. Yes, O'Reilly is still the No. 1 program in cable news in both total and demo viewers, averaging 2,136,000 total viewers in May.
But the majority of those viewers are over the age of 55. In fact, the median age for O'Reilly is now just over 72 years old. The average Fox News viewer overall is 68.8, while the average ages of MSNBC and CNN viewers were 62.5 and 62.8, respectively.
Wow
Yeah - pretty much noone I know (friends, coworkers) watch TV these days. TV is part of mass-media, one-size-fits-all approach, which belongs to second wave.
Comment
[Paraphrasing] Not preferring war might be okay but why is Obama advertising this intention? If US admin did not say anything, it would make people fear US more..?
Yeah well..
But if US does not make its intentions clear on war, then ppl will always try to pull US into one, and "friends" can be more dangerous in that sense then enemies. The supposed Syrian chemical weapon attack for example was a deliberately staged attack to goad US into action, most likely involving the infamous "Bandar Bush" of Saudi Arabia. So bunch of regular people died just some shady person could force some decision on some distant capital. Is this more preferable?
Question
For evolution, the process of random mutation is very important. Is evolution a non-deterministic process then? Is it quantum?!! Is it chaotic!!?
Not really
Let's say there is a region with high trees with high branches. It would be advantegous for animals who eat the greenery to have long necks, right? Because such animals can reach the high leaves. According to evolution genes of animals with long(er) necks would be preferred over generations.
Now the larger explanation cannot get lost in details, the so-called "randomness". Which gene, when, how, at what precise condition? We dont try to predict this event, otherwise we are in the Critical Mass, Tipping Point territory. We dont want to be there.
Instead look at end-states: One is high branches + animals with long necks. Other is high branches and short animals. A or B? Assad in Syria, or Assad in Idaho baking cookies? Cell phones and digital journalism or cell phones and print journalism? Instead of focusing on bazillion, or random transitions, the focus is on the tractable.
Math modelers do this all the time; they will not get lost in the many interactions, cases, particles the system can have, can be in, have been in ad infinitum; They represent the system in one snapshot, with enough variables making sure those relationships are set correctly within that snapshot; then they can fast forward or rewind to whichever state, time period using this model for prediction. The model is like an end-state. If it has the right variables in it with the right relationships, it is a viable end-state.
Question
Who are some other characters in the Dynamical Systems world?
Strogatz
I studied Nonlinear Dynamics from the book of the great Steven Strogatz. He is a character -- Strogatz made many contributions to the field, and also tried to model romantic relationships using Nonlinear Dynamics (Chaos in relationships -- how about that?). On the side he tried to find some practical uses for ND, I believe his one attempt at encryption did not pan out (maybe someone will continue on that work one day). Then he shifted his interest somewhat, wrote a book called Sync looking into more "order out of chaos" aspects of the field. He looked at why the London Millenium Bridge wobbled while people walked on it for example (bcz the bridge got into sync with its passangers apparently, fascinating stuff).
Less known is the fact Steven Strogatz was the thesis advisor of Duncan Watts, who later became famous in Network Theory, becoming a major researcher himself in marketing, social analysis. Watts also debunked the influencer theory a few years back, another plus in his column.
#thunderstruck
Great.. There is hope for US yet. Nice going.
"The Supreme Court's June ruling on the patentability of software — its first in 33 years — raised as many questions as it answered. One specific software patent went down in flames in the case of Alice v. CLS Bank, but the abstract reasoning of the decision didn't provide much clarity on which other patents might be in danger.
Now a series of decisions from lower courts is starting to bring the ruling's practical consequences into focus. And the results have been ugly for fans of software patents. By my count there have been 11 court rulings on the patentability of software since the Supreme Court's decision — including six that were decided this month. Every single one of them has led to the patent being invalidated. [This means] that the pendulum of patent law is now clearly swinging in an anti-patent direction. Every time a patent gets invalidated, it strengthens the bargaining position of every defendant facing a lawsuit from a patent troll.
The end of "do it on a computer" patents
In the late 1990s and early 2000s, the Patent Office handed out a growing number of what might be called "do it on a computer" patents. These patents take some activity that people have been doing for centuries — say, holding funds in escrow until a transaction is complete — and claim the concept of performing that task with a computer or over the internet. The patents are typically vague about how to perform the task in question.
The Supreme Court invalidated a patent like that in its decision this year. The patent claimed the concept of using a computer to hold funds in escrow to reduce the risk that one party would fail to deliver on an agreement. The Supreme Court ruled that the use of a computer did not turn this centuries-old concept into a new invention"
Losing 7:1 in a World Cup soccer game, then winning the Fields Medal? It is interesting times for Brazil.
"Avila is the new Field Medal (mathematicians' Nobel Prize) recipient from Brazil, marking a first for his country.
A major focus at IMPA [an institute even Brasilians themselves are surprised it exists -as most schools in the country are mired in heavy bureucracy-] is dynamical systems, the branch of mathematics that studies systems that evolve over time according to some set of rules — a collection of planets moving around a star, for example, or a billiard ball bouncing around a table, or a population of organisms that grows or declines over time [.. D]ynamical systems are everywhere in math and nature. “It’s like a glue that connects many other subjects,” Krikorian said [..]
In the decades preceding Avila’s work, mathematicians made a profound discovery: To produce complex behavior, it isn’t necessary to start with complex rules. Even simple rules when repeated again and again sometimes produce chaos: random-seeming, unpredictable behavior in which tiny changes in the starting conditions can produce dramatically different outcomes. [..]
His work “cannot be reduced to ‘one big theorem’ as Artur has so many deep results in several different topics,” said Marcelo Viana, who worked with Avila to solve a long-standing problem about the chaotic behavior of billiard balls. The two proved a formula that predicts which side of the table a ball is most likely to hit next — and which side it will likely hit after a thousand bounces, or a million, all with the same margin of error. [..]"