nhaliday + explanation   391

javascript - ReactJS - Does render get called any time "setState" is called? - Stack Overflow
By default - yes.

There is a method boolean shouldComponentUpdate(object nextProps, object nextState), each component has this method and it's responsible to determine "should component update (run render function)?" every time you change state or pass new props from parent component.

You can write your own implementation of shouldComponentUpdate method for your component, but default implementation always returns true - meaning always re-run render function.


Next part of your question:

If so, why? I thought the idea was that React only rendered as little as needed - when state changed.

There are two steps of what we may call "render":

Virtual DOM render: when render method is called it returns a new virtual dom structure of the component. As I mentioned before, this render method is called always when you call setState(), because shouldComponentUpdate always returns true by default. So, by default, there is no optimization here in React.

Native DOM render: React changes real DOM nodes in your browser only if they were changed in the Virtual DOM and as little as needed - this is that great React's feature which optimizes real DOM mutation and makes React fast.
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14 days ago by nhaliday
javascript - What is the purpose of double curly braces in React's JSX syntax? - Stack Overflow
The exterior set of curly braces are letting JSX know you want a JS expression. The interior set of curly braces represent a JavaScript object, meaning you’re passing in an object to the style attribute.
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14 days ago by nhaliday
What does it mean when a CSS rule is grayed out in Chrome's element inspector? - Stack Overflow
It seems that a strike-through indicates that a rule was overridden, but what does it mean when a style is grayed out?


Greyed/dimmed out text, can mean either

1. it's a default rule/property the browser applies, which includes defaulted short-hand properties.
2. It involves inheritance which is a bit more complicated.


In the case where a rule is applied to the currently selected element due to inheritance (i.e. the rule was applied to an ancestor, and the selected element inherited it), chrome will again display the entire ruleset.

The rules which are applied to the currently selected element appear in normal text.

If a rule exists in that set but is not applied because it's a non-inheritable property (e.g. background color), it will appear as greyed/dimmed text.

Please note, not the Styles panel (I know what greyed-out means in that context—not applied), but the next panel over, the Computed properties panel.
The gray calculated properties are neither default, nor inherited. This only occurs on properties that were not defined for the element, but _calculated_ from either its children or parent _based on runtime layout rendering_.

Take this simple page as an example, display is default and font-size is inherited:
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20 days ago by nhaliday
exponential function - Feynman's Trick for Approximating $e^x$ - Mathematics Stack Exchange
1. e^2.3 ~ 10
2. e^.7 ~ 2
3. e^x ~ 1+x
e = 2.71828...

errors (absolute, relative):
1. +0.0258, 0.26%
2. -0.0138, -0.68%
3. 1 + x approximates e^x on [-.3, .3] with absolute error < .05, and relative error < 5.6% (3.7% for [0, .3]).
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25 days ago by nhaliday
When to use margin vs padding in CSS - Stack Overflow
TL;DR: By default I use margin everywhere, except when I have a border or background and want to increase the space inside that visible box.

To me, the biggest difference between padding and margin is that vertical margins auto-collapse, and padding doesn't.

One key thing that is missing in the answers here:

Top/Bottom margins are collapsible.

So if you have a 20px margin at the bottom of an element and a 30px margin at the top of the next element, the margin between the two elements will be 30px rather than 50px. This does not apply to left/right margin or padding.
Note that there are very specific circumstances in which vertical margins collapse - not just any two vertical margins will do so. Which just makes it all the more confusing (unless you're very familiar with the box model).

[ed.: roughly, separation = padding(A) + padding(B) + max{margin(A), margin(B)}, border in between padding and margin]
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28 days ago by nhaliday
What’s In A Name? Understanding Classical Music Titles | Parker Symphony Orchestra
Composition Type:
Symphony, sonata, piano quintet, concerto – these are all composition types. Classical music composers wrote works in many of these forms and often the same composer wrote multiple pieces in the same type. This is why saying you enjoy listening to “the Serenade” or “the Concerto” or “the Mazurka” is confusing. Even using the composer name often does not narrow down which piece you are referring to. For example, it is not enough to say “Beethoven Symphony”. He wrote 9 of them!

Generic Name:
Compositions often have a generic name that can describe the work’s composition type, key signature, featured instruments, etc. This could be something as simple as Symphony No. 2 (meaning the 2nd symphony written by that composer), Minuet in G major (minuet being a type of dance), or Concerto for Two Cellos (an orchestral work featuring two cellos as soloists). The problem with referring to a piece by the generic name, even along with the composer, is that, again, that may not enough to identify the exact work. While Symphony No. 2 by Mahler is sufficient since it is his only 2nd symphony, Minuet by Bach is not since he wrote many minuets over his lifetime.

Non-Generic Names:
Non-generic names, or classical music nicknames and sub-titles, are often more well-known than generic names. They can even be so famous that the composer name is not necessary to clarify which piece you are referring to. Eine Kleine Nachtmusik, the Trout Quintet, and the Surprise Symphony are all examples of non-generic names.

Who gave classical music works their non-generic names? Sometimes the composer added a subsidiary name to a work. These are called sub-titles and are considered part of the work’s formal title. The sub-title for Tchaikovsky’s Symphony No. 6 in B minor is “Pathetique”.

A nickname, on the other hand, is not part of the official title and was not assigned by the composer. It is a name that has become associated with a work. For example, Bach’s “Six Concerts à plusieurs instruments” are commonly known as the Brandenburg Concertos because they were presented as a gift to the Margrave of Brandenburg. The name was given by Bach’s biographer, Philipp Spitta, and it stuck. Mozart’s Symphony No. 41 earned the nickname Jupiter most likely because of its exuberant energy and grand scale. Schubert’s Symphony No. 8 is known as the Unfinished Symphony because he died and left it with only 2 complete movements.

In many cases, referring to a work by its non-generic name, especially with the composer name, is enough to identify a piece. Most classical music fans know which work you are referring to when you say “Beethoven’s Eroica Symphony”.

Non-Numeric Titles:
Some classical compositions do not have a generic name, but rather a non-numeric title. These are formal titles given by the composer that do not follow a sequential numeric naming convention. Works that fall into this category include the Symphony Fantastique by Berlioz, Handel’s Messiah, and Also Sprach Zarathustra by Richard Strauss.

Opus Number:
Opus numbers, abbreviated op., are used to distinguish compositions with similar titles and indicate the chronological order of production. Some composers assigned numbers to their own works, but many were inconsistent in their methods. As a result, some composers’ works are referred to with a catalogue number assigned by musicologists. The various catalogue-number systems commonly used include Köchel-Verzeichnis for Mozart (K) and Bach-Werke-Verzeichnis (BWV).

I was always curious why classical composers use names like this Étude in E-flat minor (Frédéric_Chopin) or Missa in G major (Johann Sebastian Bach). Is this from scales of this songs? Weren't they blocked to ever use this scale again? Why didn't they create unique titles?


Using a key did not prohibit a composer from using that key again (there are only thirty keys). Using a key did not prohibit them from using the same key on a work with the same form either. Bach wrote over thirty Prelude and Fugues. Four of these were Prelude and Fugue in A minor. They are now differentiated by their own BWV catalog numbers (assigned in 1950). Many pieces did have unique titles, but with the amounts of pieces the composers composed, unique titles were difficult to come up with. Also, most pieces had no lyrics. It is much easier to come up with a title when there are lyrics. So, they turned to this technique. It was used frequently during the Common Practice Period.

explanation  music  classical  trivia  duplication  q-n-a  stackex  music-theory  init  notation  multi  jargon 
may 2019 by nhaliday
c++ - Pointer to class data member "::*" - Stack Overflow
[ed.: First encountered in emil-e/rapidcheck (gen::set).]

Is this checked statically? That is, does the compiler allow me to pass an arbitrary value or does it check that every passed pointer to member pFooMember is created using &T::*fooMember? I think it's feasible to do that?
q-n-a  stackex  programming  pls  c(pp)  gotchas  weird  trivia  hmm  explanation  types  oop  static-dynamic  direct-indirect  atoms  lexical 
may 2019 by nhaliday
Does left-handedness occur more in certain ethnic groups than others?
Yes. There are some aboriginal tribes in Australia who have about 70% of their population being left-handed. It’s also more than 50% for some South American tribes.

The reason is the same in both cases: a recent past of extreme aggression with other tribes. Left-handedness is caused by recessive genes, but being left-handed is a boost when in hand-to-hand combat with a right-handed guy (who usually has trained extensively with other right-handed guys, as this disposition is genetically dominant so right-handed are majority in most human populations, so lacks experience with a left-handed). Should a particular tribe enter too much war time periods, it’s proportion of left-handeds will naturally rise. As their enemy tribe’s proportion of left-handed people is rising as well, there’s a point at which the natural advantage they get in fighting disipates and can only climb higher should they continuously find new groups to fight with, who are also majority right-handed.


So the natural question is: given their advantages in 1-on-1 combat, why doesn’t the percentage grow all the way up to 50% or slightly higher? Because there are COSTS associated with being left-handed, as apparently our neural network is pre-wired towards right-handedness - showing as a reduced life expectancy for lefties. So a mathematical model was proposed to explain their distribution among different societies



Further, it appears the average left-handedness for humans (~10%) hasn’t changed in thousands of years (judging by the paintings of hands on caves)

Frequency-dependent maintenance of left handedness in humans.

Handedness frequency over more than 10,000 years

[ed.: Compare with Julius Evola's "left-hand path".]
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july 2018 by nhaliday
Prisoner's dilemma - Wikipedia
caveat to result below:
An extension of the IPD is an evolutionary stochastic IPD, in which the relative abundance of particular strategies is allowed to change, with more successful strategies relatively increasing. This process may be accomplished by having less successful players imitate the more successful strategies, or by eliminating less successful players from the game, while multiplying the more successful ones. It has been shown that unfair ZD strategies are not evolutionarily stable. The key intuition is that an evolutionarily stable strategy must not only be able to invade another population (which extortionary ZD strategies can do) but must also perform well against other players of the same type (which extortionary ZD players do poorly, because they reduce each other's surplus).[14]

Theory and simulations confirm that beyond a critical population size, ZD extortion loses out in evolutionary competition against more cooperative strategies, and as a result, the average payoff in the population increases when the population is bigger. In addition, there are some cases in which extortioners may even catalyze cooperation by helping to break out of a face-off between uniform defectors and win–stay, lose–switch agents.[8]

Nature boils down to a few simple concepts.

Haters will point out that I oversimplify. The haters are wrong. I am good at saying a lot with few words. Nature indeed boils down to a few simple concepts.

In life, you can either cooperate or defect.

Used to be that defection was the dominant strategy, say in the time when the Roman empire started to crumble. Everybody complained about everybody and in the end nothing got done. Then came Jesus, who told people to be loving and cooperative, and boom: 1800 years later we get the industrial revolution.

Because of Jesus we now find ourselves in a situation where cooperation is the dominant strategy. A normie engages in a ton of cooperation: with the tax collector who wants more and more of his money, with schools who want more and more of his kid’s time, with media who wants him to repeat more and more party lines, with the Zeitgeist of the Collective Spirit of the People’s Progress Towards a New Utopia. Essentially, our normie is cooperating himself into a crumbling Western empire.

Turns out that if everyone blindly cooperates, parasites sprout up like weeds until defection once again becomes the standard.

The point of a post-Christian religion is to once again create conditions for the kind of cooperation that led to the industrial revolution. This necessitates throwing out undead Christianity: you do not blindly cooperate. You cooperate with people that cooperate with you, you defect on people that defect on you. Christianity mixed with Darwinism. God and Gnon meet.

This also means we re-establish spiritual hierarchy, which, like regular hierarchy, is a prerequisite for cooperation. It is this hierarchical cooperation that turns a household into a force to be reckoned with, that allows a group of men to unite as a front against their enemies, that allows a tribe to conquer the world. Remember: Scientology bullied the Cathedral’s tax department into submission.

With a functioning hierarchy, men still gossip, lie and scheme, but they will do so in whispers behind closed doors. In your face they cooperate and contribute to the group’s wellbeing because incentives are thus that contributing to group wellbeing heightens status.

Without a functioning hierarchy, men gossip, lie and scheme, but they do so in your face, and they tell you that you are positively deluded for accusing them of gossiping, lying and scheming. Seeds will not sprout in such ground.

Spiritual dominance is established in the same way any sort of dominance is established: fought for, taken. But the fight is ritualistic. You can’t force spiritual dominance if no one listens, or if you are silenced the ritual is not allowed to happen.

If one of our priests is forbidden from establishing spiritual dominance, that is a sure sign an enemy priest is in better control and has vested interest in preventing you from establishing spiritual dominance..

They defect on you, you defect on them. Let them suffer the consequences of enemy priesthood, among others characterized by the annoying tendency that very little is said with very many words.

To recap, we started with a secular definition of Logos and noted that its telos is existence. Given human nature, game theory and the power of cooperation, the highest expression of that telos is freely chosen universal love, tempered by constant vigilance against defection while maintaining compassion for the defectors and forgiving those who repent. In addition, we must know the telos in order to fulfill it.

In Christian terms, looks like we got over half of the Ten Commandments (know Logos for the First, don’t defect or tempt yourself to defect for the rest), the importance of free will, the indestructibility of evil (group cooperation vs individual defection), loving the sinner and hating the sin (with defection as the sin), forgiveness (with conditions), and love and compassion toward all, assuming only secular knowledge and that it’s good to exist.

Iterated Prisoner's Dilemma is an Ultimatum Game: http://infoproc.blogspot.com/2012/07/iterated-prisoners-dilemma-is-ultimatum.html
The history of IPD shows that bounded cognition prevented the dominant strategies from being discovered for over over 60 years, despite significant attention from game theorists, computer scientists, economists, evolutionary biologists, etc. Press and Dyson have shown that IPD is effectively an ultimatum game, which is very different from the Tit for Tat stories told by generations of people who worked on IPD (Axelrod, Dawkins, etc., etc.).


For evolutionary biologists: Dyson clearly thinks this result has implications for multilevel (group vs individual selection):
... Cooperation loses and defection wins. The ZD strategies confirm this conclusion and make it sharper. ... The system evolved to give cooperative tribes an advantage over non-cooperative tribes, using punishment to give cooperation an evolutionary advantage within the tribe. This double selection of tribes and individuals goes way beyond the Prisoners' Dilemma model.

implications for fractionalized Europe vis-a-vis unified China?

and more broadly does this just imply we're doomed in the long run RE: cooperation, morality, the "good society", so on...? war and group-selection is the only way to get a non-crab bucket civilization?

Iterated Prisoner’s Dilemma contains strategies that dominate any evolutionary opponent:


analogy for ultimatum game: the state gives the demos a bargain take-it-or-leave-it, and...if the demos refuses...violence?

The nature of human altruism: http://sci-hub.tw/https://www.nature.com/articles/nature02043
- Ernst Fehr & Urs Fischbacher

Some of the most fundamental questions concerning our evolutionary origins, our social relations, and the organization of society are centred around issues of altruism and selfishness. Experimental evidence indicates that human altruism is a powerful force and is unique in the animal world. However, there is much individual heterogeneity and the interaction between altruists and selfish individuals is vital to human cooperation. Depending on the environment, a minority of altruists can force a majority of selfish individuals to cooperate or, conversely, a few egoists can induce a large number of altruists to defect. Current gene-based evolutionary theories cannot explain important patterns of human altruism, pointing towards the importance of both theories of cultural evolution as well as gene–culture co-evolution.


Why are humans so unusual among animals in this respect? We propose that quantitatively, and probably even qualitatively, unique patterns of human altruism provide the answer to this question. Human altruism goes far beyond that which has been observed in the animal world. Among animals, fitness-reducing acts that confer fitness benefits on other individuals are largely restricted to kin groups; despite several decades of research, evidence for reciprocal altruism in pair-wise repeated encounters4,5 remains scarce6–8. Likewise, there is little evidence so far that individual reputation building affects cooperation in animals, which contrasts strongly with what we find in humans. If we randomly pick two human strangers from a modern society and give them the chance to engage in repeated anonymous exchanges in a laboratory experiment, there is a high probability that reciprocally altruistic behaviour will emerge spontaneously9,10.

However, human altruism extends far beyond reciprocal altruism and reputation-based cooperation, taking the form of strong reciprocity11,12. Strong reciprocity is a combination of altruistic rewarding, which is a predisposition to reward others for cooperative, norm-abiding behaviours, and altruistic punishment, which is a propensity to impose sanctions on others for norm violations. Strong reciprocators bear the cost of rewarding or punishing even if they gain no individual economic benefit whatsoever from their acts. In contrast, reciprocal altruists, as they have been defined in the biological literature4,5, reward and punish only if this is in their long-term self-interest. Strong reciprocity thus constitutes a powerful incentive for cooperation even in non-repeated interactions and when reputation gains are absent, because strong reciprocators will reward those who cooperate and punish those who defect.


We will show that the interaction between selfish and strongly reciprocal … [more]
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march 2018 by nhaliday
Why do stars twinkle?
According to many astronomers and educators, twinkle (stellar scintillation) is caused by atmospheric structure that works like ordinary lenses and prisms. Pockets of variable temperature - and hence index of refraction - randomly shift and focus starlight, perceived by eye as changes in brightness. Pockets also disperse colors like prisms, explaining the flashes of color often seen in bright stars. Stars appear to twinkle more than planets because they are points of light, whereas the twinkling points on planetary disks are averaged to a uniform appearance. Below, figure 1 is a simulation in glass of the kind of turbulence structure posited in the lens-and-prism theory of stellar scintillation, shown over the Penrose tile floor to demonstrate the random lensing effects.

However appealing and ubiquitous on the internet, this popular explanation is wrong, and my aim is to debunk the myth. This research is mostly about showing that the lens-and-prism theory just doesn't work, but I also have a stellar list of references that explain the actual cause of scintillation, starting with two classic papers by C.G. Little and S. Chandrasekhar.
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december 2017 by nhaliday
light - Why doesn't the moon twinkle? - Astronomy Stack Exchange
As you mention, when light enters our atmosphere, it goes through several parcels of gas with varying density, temperature, pressure, and humidity. These differences make the refractive index of the parcels different, and since they move around (the scientific term for air moving around is "wind"), the light rays take slightly different paths through the atmosphere.

Stars are point sources
…the Moon is not
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december 2017 by nhaliday
How do you measure the mass of a star? (Beginner) - Curious About Astronomy? Ask an Astronomer
Measuring the mass of stars in binary systems is easy. Binary systems are sets of two or more stars in orbit about each other. By measuring the size of the orbit, the stars' orbital speeds, and their orbital periods, we can determine exactly what the masses of the stars are. We can take that knowledge and then apply it to similar stars not in multiple systems.

We also can easily measure the luminosity and temperature of any star. A plot of luminocity versus temperature for a set of stars is called a Hertsprung-Russel (H-R) diagram, and it turns out that most stars lie along a thin band in this diagram known as the main Sequence. Stars arrange themselves by mass on the Main Sequence, with massive stars being hotter and brighter than their small-mass bretheren. If a star falls on the Main Sequence, we therefore immediately know its mass.

In addition to these methods, we also have an excellent understanding of how stars work. Our models of stellar structure are excellent predictors of the properties and evolution of stars. As it turns out, the mass of a star determines its life history from day 1, for all times thereafter, not only when the star is on the Main Sequence. So actually, the position of a star on the H-R diagram is a good indicator of its mass, regardless of whether it's on the Main Sequence or not.
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december 2017 by nhaliday
microeconomics - Partial vs. general equilibrium - Economics Stack Exchange
The main difference between partial and general equilibrium models is, that partial equilibrium models assume that what happens on the market one wants to analyze has no effect on other markets.
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november 2017 by nhaliday
parsing - lexers vs parsers - Stack Overflow
Yes, they are very different in theory, and in implementation.

Lexers are used to recognize "words" that make up language elements, because the structure of such words is generally simple. Regular expressions are extremely good at handling this simpler structure, and there are very high-performance regular-expression matching engines used to implement lexers.

Parsers are used to recognize "structure" of a language phrases. Such structure is generally far beyond what "regular expressions" can recognize, so one needs "context sensitive" parsers to extract such structure. Context-sensitive parsers are hard to build, so the engineering compromise is to use "context-free" grammars and add hacks to the parsers ("symbol tables", etc.) to handle the context-sensitive part.

Neither lexing nor parsing technology is likely to go away soon.

They may be unified by deciding to use "parsing" technology to recognize "words", as is currently explored by so-called scannerless GLR parsers. That has a runtime cost, as you are applying more general machinery to what is often a problem that doesn't need it, and usually you pay for that in overhead. Where you have lots of free cycles, that overhead may not matter. If you process a lot of text, then the overhead does matter and classical regular expression parsers will continue to be used.
q-n-a  stackex  programming  compilers  explanation  comparison  jargon  strings  syntax  lexical  automata-languages 
november 2017 by nhaliday
Use and Interpretation of LD Score Regression
LD Score regression distinguishes confounding from polygenicity in genome-wide association studies: https://sci-hub.bz/10.1038/ng.3211
- Po-Ru Loh, Nick Patterson, et al.


Both polygenicity (i.e. many small genetic effects) and confounding biases, such as cryptic relatedness and population stratification, can yield inflated distributions of test statistics in genome-wide association studies (GWAS). However, current methods cannot distinguish between inflation from bias and true signal from polygenicity. We have developed an approach that quantifies the contributions of each by examining the relationship between test statistics and linkage disequilibrium (LD). We term this approach LD Score regression. LD Score regression provides an upper bound on the contribution of confounding bias to the observed inflation in test statistics and can be used to estimate a more powerful correction factor than genomic control. We find strong evidence that polygenicity accounts for the majority of test statistic inflation in many GWAS of large sample size.

Supplementary Note: https://images.nature.com/original/nature-assets/ng/journal/v47/n3/extref/ng.3211-S1.pdf

An atlas of genetic correlations across human diseases
and traits: https://sci-hub.bz/10.1038/ng.3406


Supplementary Note: https://images.nature.com/original/nature-assets/ng/journal/v47/n11/extref/ng.3406-S1.pdf

ldsc is a command line tool for estimating heritability and genetic correlation from GWAS summary statistics. ldsc also computes LD Scores.
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november 2017 by nhaliday
Equilibrium thermodynamics - Wikipedia
Equilibrium Thermodynamics is the systematic study of transformations of matter and energy in systems in terms of a concept called thermodynamic equilibrium. The word equilibrium implies a state of balance. Equilibrium thermodynamics, in origins, derives from analysis of the Carnot cycle. Here, typically a system, as cylinder of gas, initially in its own state of internal thermodynamic equilibrium, is set out of balance via heat input from a combustion reaction. Then, through a series of steps, as the system settles into its final equilibrium state, work is extracted.

In an equilibrium state the potentials, or driving forces, within the system, are in exact balance. A central aim in equilibrium thermodynamics is: given a system in a well-defined initial state of thermodynamic equilibrium, subject to accurately specified constraints, to calculate, when the constraints are changed by an externally imposed intervention, what the state of the system will be once it has reached a new equilibrium. An equilibrium state is mathematically ascertained by seeking the extrema of a thermodynamic potential function, whose nature depends on the constraints imposed on the system. For example, a chemical reaction at constant temperature and pressure will reach equilibrium at a minimum of its components' Gibbs free energy and a maximum of their entropy.

Equilibrium thermodynamics differs from non-equilibrium thermodynamics, in that, with the latter, the state of the system under investigation will typically not be uniform but will vary locally in those as energy, entropy, and temperature distributions as gradients are imposed by dissipative thermodynamic fluxes. In equilibrium thermodynamics, by contrast, the state of the system will be considered uniform throughout, defined macroscopically by such quantities as temperature, pressure, or volume. Systems are studied in terms of change from one equilibrium state to another; such a change is called a thermodynamic process.
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november 2017 by nhaliday
[1509.02504] Electric charge in hyperbolic motion: The early history and other geometrical aspects
We revisit the early work of Minkowski and Sommerfeld concerning hyperbolic motion, and we describe some geometrical aspects of the electrodynamic interaction. We discuss the advantages of a time symmetric formulation in which the material points are replaced by infinitesimal length elements.

SPACE AND TIME: An annotated, illustrated edition of Hermann Minkowski's revolutionary essay: http://web.mit.edu/redingtn/www/netadv/SP20130311.html
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november 2017 by nhaliday
What is the connection between special and general relativity? - Physics Stack Exchange
Special relativity is the "special case" of general relativity where spacetime is flat. The speed of light is essential to both.
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november 2017 by nhaliday
What is the difference between general and special relativity? - Quora
General Relativity is, quite simply, needed to explain gravity.

Special Relativity is the special case of GR, when the metric is flat — which means no gravity.

You need General Relativity when the metric gets all curvy, and when things start to experience gravitation.
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november 2017 by nhaliday
GPS and Relativity
The nominal GPS configuration consists of a network of 24 satellites in high orbits around the Earth, but up to 30 or so satellites may be on station at any given time. Each satellite in the GPS constellation orbits at an altitude of about 20,000 km from the ground, and has an orbital speed of about 14,000 km/hour (the orbital period is roughly 12 hours - contrary to popular belief, GPS satellites are not in geosynchronous or geostationary orbits). The satellite orbits are distributed so that at least 4 satellites are always visible from any point on the Earth at any given instant (with up to 12 visible at one time). Each satellite carries with it an atomic clock that "ticks" with a nominal accuracy of 1 nanosecond (1 billionth of a second). A GPS receiver in an airplane determines its current position and course by comparing the time signals it receives from the currently visible GPS satellites (usually 6 to 12) and trilaterating on the known positions of each satellite[1]. The precision achieved is remarkable: even a simple hand-held GPS receiver can determine your absolute position on the surface of the Earth to within 5 to 10 meters in only a few seconds. A GPS receiver in a car can give accurate readings of position, speed, and course in real-time!

More sophisticated techniques, like Differential GPS (DGPS) and Real-Time Kinematic (RTK) methods, deliver centimeter-level positions with a few minutes of measurement. Such methods allow use of GPS and related satellite navigation system data to be used for high-precision surveying, autonomous driving, and other applications requiring greater real-time position accuracy than can be achieved with standard GPS receivers.

To achieve this level of precision, the clock ticks from the GPS satellites must be known to an accuracy of 20-30 nanoseconds. However, because the satellites are constantly moving relative to observers on the Earth, effects predicted by the Special and General theories of Relativity must be taken into account to achieve the desired 20-30 nanosecond accuracy.

Because an observer on the ground sees the satellites in motion relative to them, Special Relativity predicts that we should see their clocks ticking more slowly (see the Special Relativity lecture). Special Relativity predicts that the on-board atomic clocks on the satellites should fall behind clocks on the ground by about 7 microseconds per day because of the slower ticking rate due to the time dilation effect of their relative motion [2].

Further, the satellites are in orbits high above the Earth, where the curvature of spacetime due to the Earth's mass is less than it is at the Earth's surface. A prediction of General Relativity is that clocks closer to a massive object will seem to tick more slowly than those located further away (see the Black Holes lecture). As such, when viewed from the surface of the Earth, the clocks on the satellites appear to be ticking faster than identical clocks on the ground. A calculation using General Relativity predicts that the clocks in each GPS satellite should get ahead of ground-based clocks by 45 microseconds per day.

The combination of these two relativitic effects means that the clocks on-board each satellite should tick faster than identical clocks on the ground by about 38 microseconds per day (45-7=38)! This sounds small, but the high-precision required of the GPS system requires nanosecond accuracy, and 38 microseconds is 38,000 nanoseconds. If these effects were not properly taken into account, a navigational fix based on the GPS constellation would be false after only 2 minutes, and errors in global positions would continue to accumulate at a rate of about 10 kilometers each day! The whole system would be utterly worthless for navigation in a very short time.
nibble  org:junk  org:edu  explanation  trivia  cocktail  physics  gravity  relativity  applications  time  synchrony  speed  space  navigation  technology 
november 2017 by nhaliday
The Moon And Tides
Why does the Moon produce TWO water tides on the Earth and not just one?
"It is intuitively easy to understand why the gravitational pull of the Moon should produce a water tide on the Earth in the part of the ocean closest to the moon along the line connecting the center of the Moon with the center of the Earth. But in fact not one but TWO water tides are produced under which the Earth rotates every day to produce about two high tides and two low tides every day. How come?

It is not the gravitational force that is doing it, but the change in the gravitational force across the body of the Earth. If you were to plot the pattern of the Moon's 'tidal' gravitational force added to the Earth's own gravitational force, at the Earth's surface, you would be able to resolve the force vectors at different latitudes and longitudes into a radial component directed towards the Earth's center, and a component tangential to the Earth's surface. On the side nearest the moon, the 'differential' gravitational force is directed toward the Moon showing that for particles on the Earth's surface, they are being tugged slightly towards the Moon because the force of the Moon is slightly stronger at the Earth's surface than at the Earth's center which is an additional 6300 kilometers from the Moon. On the far side of the Earth, the Moon is tugging on the center of the Earth slightly stronger than it is on the far surface, so the resultant force vector is directed away from the Earth's center.

The net result of this is that the Earth gets deformed into a slightly squashed, ellipsoidal shape due to these tidal forces. This happens because if we resolve the tidal forces at each point on the Earth into a local vertical and horizontal component, the horizontal components are not zero, and are directed towards the two points along the line connecting the Earth and the Moon's centers. These horizontal forces cause rock and water to feel a gravitational force which results in the flow of rock and water into the 'tidal bulges'. There will be exactly two of these bulges. At exactly the positions of the tidal bulges where the Moon is at the zenith and at the nadir positions, there are no horizontal tidal forces and the flow stops. The water gets piled up, and the only effect is to slightly lower the weight of the water along the vertical direction.

Another way of thinking about this is that the gravitational force of the Moon causes the Earth to accelerate slightly towards the Moon causing the water to get pulled towards the Moon faster than the solid rock on the side nearest the Moon. On the far side, the solid Earth 'leaves behind' some of the water which is not as strongly accelerated towards the Moon as the Earth is. This produces the bulge on the 'back side' of the Earth."- Dr. Odenwald's ASK THE ASTRONOMER
org:junk  nibble  space  physics  mechanics  cycles  navigation  gravity  marginal  oceans  explanation  faq  objektbuch  rhythm 
november 2017 by nhaliday
Fortifications and Democracy in the Ancient Greek World by Josiah Ober, Barry Weingast :: SSRN
- Joshiah Ober, Barry Weingast

In the modern world, access-limiting fortification walls are not typically regarded as promoting democracy. But in Greek antiquity, increased investment in fortifications was correlated with the prevalence and stability of democracy. This paper sketches the background conditions of the Greek city-state ecology, analyzes a passage in Aristotle’s Politics, and assesses the choices of Hellenistic kings, Greek citizens, and urban elites, as modeled in a simple game. The paper explains how city walls promoted democracy and helps to explain several other puzzles: why Hellenistic kings taxed Greek cities at lower than expected rates; why elites in Greek cities supported democracy; and why elites were not more heavily taxed by democratic majorities. The relationship between walls, democracy, and taxes promoted continued economic growth into the late classical and Hellenistic period (4th-2nd centuries BCE), and ultimately contributed to the survival of Greek culture into the Roman era, and thus modernity. We conclude with a consideration of whether the walls-democracy relationship holds in modernity.

'Rulers Ruled by Women': An Economic Analysis of the Rise and Fall of Women's Rights in Ancient Sparta by Robert K. Fleck, F. Andrew Hanssen: https://papers.ssrn.com/sol3/papers.cfm?abstract_id=788106
Throughout most of history, women as a class have possessed relatively few formal rights. The women of ancient Sparta were a striking exception. Although they could not vote, Spartan women reportedly owned 40 percent of Sparta's agricultural land and enjoyed other rights that were equally extraordinary. We offer a simple economic explanation for the Spartan anomaly. The defining moment for Sparta was its conquest of a neighboring land and people, which fundamentally changed the marginal products of Spartan men's and Spartan women's labor. To exploit the potential gains from a reallocation of labor - specifically, to provide the appropriate incentives and the proper human capital formation - men granted women property (and other) rights. Consistent with our explanation for the rise of women's rights, when Sparta lost the conquered land several centuries later, the rights for women disappeared. Two conclusions emerge that may help explain why women's rights have been so rare for most of history. First, in contrast to the rest of the world, the optimal (from the men's perspective) division of labor among Spartans involved women in work that was not easily monitored by men. Second, the rights held by Spartan women may have been part of an unstable equilibrium, which contained the seeds of its own destruction.
study  broad-econ  economics  polisci  political-econ  institutions  government  north-weingast-like  democracy  walls  correlation  polis  history  mediterranean  iron-age  the-classics  microfoundations  modernity  comparison  architecture  military  public-goodish  elite  civic  taxes  redistribution  canon  literature  big-peeps  conquest-empire  rent-seeking  defense  models  GT-101  incentives  urban  urban-rural  speculation  interdisciplinary  cliometrics  multi  civil-liberty  gender  gender-diff  equilibrium  cycles  branches  labor  interests  property-rights  unintended-consequences  explanation  explanans  analysis  econ-productivity  context  arrows  micro  natural-experiment 
november 2017 by nhaliday
Karl Pearson and the Chi-squared Test
Pearson's paper of 1900 introduced what subsequently became known as the chi-squared test of goodness of fit. The terminology and allusions of 80 years ago create a barrier for the modern reader, who finds that the interpretation of Pearson's test procedure and the assessment of what he achieved are less than straightforward, notwithstanding the technical advances made since then. An attempt is made here to surmount these difficulties by exploring Pearson's relevant activities during the first decade of his statistical career, and by describing the work by his contemporaries and predecessors which seem to have influenced his approach to the problem. Not all the questions are answered, and others remain for further study.

original paper: http://www.economics.soton.ac.uk/staff/aldrich/1900.pdf

How did Karl Pearson come up with the chi-squared statistic?: https://stats.stackexchange.com/questions/97604/how-did-karl-pearson-come-up-with-the-chi-squared-statistic
He proceeds by working with the multivariate normal, and the chi-square arises as a sum of squared standardized normal variates.

You can see from the discussion on p160-161 he's clearly discussing applying the test to multinomial distributed data (I don't think he uses that term anywhere). He apparently understands the approximate multivariate normality of the multinomial (certainly he knows the margins are approximately normal - that's a very old result - and knows the means, variances and covariances, since they're stated in the paper); my guess is that most of that stuff is already old hat by 1900. (Note that the chi-squared distribution itself dates back to work by Helmert in the mid-1870s.)

Then by the bottom of p163 he derives a chi-square statistic as "a measure of goodness of fit" (the statistic itself appears in the exponent of the multivariate normal approximation).

He then goes on to discuss how to evaluate the p-value*, and then he correctly gives the upper tail area of a χ212χ122 beyond 43.87 as 0.000016. [You should keep in mind, however, that he didn't correctly understand how to adjust degrees of freedom for parameter estimation at that stage, so some of the examples in his papers use too high a d.f.]
nibble  papers  acm  stats  hypothesis-testing  methodology  history  mostly-modern  pre-ww2  old-anglo  giants  science  the-trenches  stories  multi  q-n-a  overflow  explanation  summary  innovation  discovery  distribution  degrees-of-freedom  limits 
october 2017 by nhaliday
Any particular gene has a specific location (its "locus") on a particular chromosome. For any two genes (or loci) alpha and beta, we can ask "What is the recombination frequency between them?" If the genes are on different chromosomes, the answer is 50% (independent assortment). If the two genes are on the same chromosome, the recombination frequency will be somewhere in the range from 0 to 50%. The "map unit" (1 cM) is the genetic map distance that corresponds to a recombination frequency of 1%. In large chromosomes, the cumulative map distance may be much greater than 50cM, but the maximum recombination frequency is 50%. Why? In large chromosomes, there is enough length to allow for multiple cross-overs, so we have to ask what result we expect for random multiple cross-overs.

1. How is it that random multiple cross-overs give the same result as independent assortment?

Figure 5.12 shows how the various double cross-over possibilities add up, resulting in gamete genotype percentages that are indistinguisable from independent assortment (50% parental type, 50% non-parental type). This is a very important figure. It provides the explanation for why genes that are far apart on a very large chromosome sort out in crosses just as if they were on separate chromosomes.

2. Is there a way to measure how close together two crossovers can occur involving the same two chromatids? That is, how could we measure whether there is spacial "interference"?

Figure 5.13 shows how a measurement of the gamete frequencies resulting from a "three point cross" can answer this question. If we would get a "lower than expected" occurrence of recombinant genotypes aCb and AcB, it would suggest that there is some hindrance to the two cross-overs occurring this close together. Crosses of this type in Drosophila have shown that, in this organism, double cross-overs do not occur at distances of less than about 10 cM between the two cross-over sites. ( Textbook, page 196. )

3. How does all of this lead to the "mapping function", the mathematical (graphical) relation between the observed recombination frequency (percent non-parental gametes) and the cumulative genetic distance in map units?

Figure 5.14 shows the result for the two extremes of "complete interference" and "no interference". The situation for real chromosomes in real organisms is somewhere between these extremes, such as the curve labelled "interference decreasing with distance".
org:junk  org:edu  explanation  faq  nibble  genetics  genomics  bio  ground-up  magnitude  data  flux-stasis  homo-hetero  measure  orders  metric-space  limits  measurement 
october 2017 by nhaliday
design patterns - What is MVC, really? - Software Engineering Stack Exchange
The model manages fundamental behaviors and data of the application. It can respond to requests for information, respond to instructions to change the state of its information, and even to notify observers in event-driven systems when information changes. This could be a database, or any number of data structures or storage systems. In short, it is the data and data-management of the application.

The view effectively provides the user interface element of the application. It'll render data from the model into a form that is suitable for the user interface.

The controller receives user input and makes calls to model objects and the view to perform appropriate actions.


Though this answer has 21 upvotes, I find the sentence "This could be a database, or any number of data structures or storage systems. (tl;dr : it's the data and data-management of the application)" horrible. The model is the pure business/domain logic. And this can and should be so much more than data management of an application. I also differentiate between domain logic and application logic. A controller should not ever contain business/domain logic or talk to a database directly.
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october 2017 by nhaliday
man page - Wikipedia
The name of the command or function, followed by a one-line description of what it does.
In the case of a command, a formal description of how to run it and what command line options it takes. For program functions, a list of the parameters the function takes and which header file contains its definition.
A textual description of the functioning of the command or function.
Some examples of common usage.
A list of related commands or functions.
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september 2017 by nhaliday
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