Much of the analysis of multiplication of big numbers is based on the assumption that multiplication of machine-sized numbers is much more expensive than addition of machine-sized numbers. If that is true, then there are (recursive descent) algorithms that are faster than O(n^2). However, if addition is just as expensive as multiplication, the number of digits at which fancy algorithms become worthwhile is larger.
You can only represent frequencies in the FFT that are within the nyquist rate
That's almost true. However, if you know in advance that outside of a certain frequency range the signal is zero, the technique of subsampling can be used. The limit is bandwidth, not frequency.
Let's consider another "scientific discipline" that was once popular among progressives: eugenics. That's right, science says we should kill or sterilize anyone that we experts think are defective. (Pick your favorite victim group.)
Walk carefully, those of you who think it's OK to use the government to enforce your claims. You may find yourself among truly nasty people.
And I'll side with the phlogistonites when it comes to talking about phlogiston. And priests when talking about religion. And Scientologists about anything related to science.
That claim was debunked about 1975, shortly after the first "energy crisis". Energy is important, but human input (especially mental) is the essential component of modern wealth.
Rand objects to thieves and apologists for thieves. Alas, if you read the book with a third grade level of comprehension or a traditionalist misunderstanding of the world, you miss her message.
Both Dagny Taggart and Hank Reardon have very dramatic and obvious scenes of compassion for less fortunate but honest people. That you can read the book and not see these scenes shows not blindness, but a refusal to see.
It ain't bias if it's fact. People have observed TSA agents taking property from carry-ons and not being able to do anything about it. This recently happened to Neal Boortz. If a major talk-show host can't stop this from happening to his own property, or get recovery once it's happened, we're far into tyranny and unlikely to ever recover. Thanks a lot, big government proponents.
In some cases, there's some absurdist rigamarole about the property being charged with the crime. Once things get that far from reality, logic is irrelevant.
When money goes missing in an arrest, there's a short list of suspects. First, the policemen at the arrest; second, anyone else involved at the arrest; third, policemen on duty when the money gets back to the police station. After that it's on record and less likely to go missing. Even someone as stupid as a drug trafficker can figure that out.
The idea that we might run out of iron is just silly. Copper is used in electrics (replaceable with aluminum), pipes (replaceable with plastic), brasses and bronzes (most applications have superior replacements), and alloying additions for other metals. We'll adjust. Rare earths are too large a subject to cover here, but most of them have not been a subject of massive searches.
There isn't much attention to the 70% of the surface under water. We've got a long way to go.
The problem is that ice-age type glaciation is a positive-feedback phenomenon. We'll start cooling, and the envirofreaks will say hooray and put political pressure against any CO2 release. By the time they're defeated, we'll be on the brink. At that point it'll take only one event like "The year without a summer" to cover half the globe with snow. The albedo change will have us beyond the tipping point, and goobye civilization.
The modern era is completely unlike pre-industrial times. There's no excuse for widespread widespread warfare, and one good, strong country can put a lid on it.
To some extent, gasoline engines are designed for maximum efficiency and clean burning (slightly fuel lean) at below maximum throttle. At maximum throttle, the engine gets extra fuel to ensure that all the air that can enter gets burned. That lowers efficiency.
There are other factors that reduce efficiency at full throttle: more tire slip, more slip in automatic transmission's torque converter, and pumping losses in the crankcase and alternator (and anyplace else that there's a fluid) which are proportional to the square of (rotational) speed.
Although it seems counter-intuitive, obstructions like the throttle plate don't really substantially affect efficiency beyond what the Carnot law demands.
The oil depletion allowance is not "subsidies for the oil industry", it's a perfectly just compensation for a declining asset.
the "impulse" to use the physics term is actually greater for two heavier vehicles colliding, thus harming both occupants more. Two light-weight vehicles would be the safest to collide
That's just silly. The crash energy is absorbed in collapsing structures located between the front of the vehicle and the passenger compartment. Those structures are designed in proportion to the vehicle's weight, among other things. As I indicated in a post above, greater distance between the front and the passenger increases safety. A bigger crumple zone reduces deceleration and allows more room for a variety of protections for the passenger.
Starting in the 1970s emissions requirements resulted in drastic reductions in power, which got increasingly worse through the mid 1980s. A base Corvette in 1966 was 300 hp, in 1984 180 hp. By the mid 1990s advanced technology was able to provide ever-increasing horsepower without pollution penalty, reversing the 25 year trend caused by regulations. TFA using 1980 as a baseline makes it look like increasing power is a pud pulling competition rather than a recovery to a reasonable performance level.
A mid 1960s family car with automatic transmission got about 13 mph on the highway. Now the figure is close to 35 mpg. The new car is much lighter, somewhat smaller, much safer, is much better designed and better handling, and will last many more miles and years.
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Much of the analysis of multiplication of big numbers is based on the assumption that multiplication of machine-sized numbers is much more expensive than addition of machine-sized numbers. If that is true, then there are (recursive descent) algorithms that are faster than O(n^2). However, if addition is just as expensive as multiplication, the number of digits at which fancy algorithms become worthwhile is larger.
That's almost true. However, if you know in advance that outside of a certain frequency range the signal is zero, the technique of subsampling can be used. The limit is bandwidth, not frequency.
Compared to what other method of quantifying intelligence?
Let's consider another "scientific discipline" that was once popular among progressives: eugenics. That's right, science says we should kill or sterilize anyone that we experts think are defective. (Pick your favorite victim group.)
Walk carefully, those of you who think it's OK to use the government to enforce your claims. You may find yourself among truly nasty people.
And I'll side with the phlogistonites when it comes to talking about phlogiston. And priests when talking about religion. And Scientologists about anything related to science.
A "whole" in the ground?
Commercial power generation is more efficient than the human conversion of the potential energy in food to mechanical energy.
That claim was debunked about 1975, shortly after the first "energy crisis". Energy is important, but human input (especially mental) is the essential component of modern wealth.
Rand objects to thieves and apologists for thieves. Alas, if you read the book with a third grade level of comprehension or a traditionalist misunderstanding of the world, you miss her message.
Both Dagny Taggart and Hank Reardon have very dramatic and obvious scenes of compassion for less fortunate but honest people. That you can read the book and not see these scenes shows not blindness, but a refusal to see.
Your use of italics is Peculiar.
Geez, guy, get a grip. Copper is easy to steal and fence; times are tough. Consider Occam.
Receiving stolen goods is already illegal.
Nominal skin depth in copper at 60 Hz is about 9 mm. It takes a lot of current to require wires with a radius greater than 9mm.
It ain't bias if it's fact. People have observed TSA agents taking property from carry-ons and not being able to do anything about it. This recently happened to Neal Boortz. If a major talk-show host can't stop this from happening to his own property, or get recovery once it's happened, we're far into tyranny and unlikely to ever recover. Thanks a lot, big government proponents.
In some cases, there's some absurdist rigamarole about the property being charged with the crime. Once things get that far from reality, logic is irrelevant.
When money goes missing in an arrest, there's a short list of suspects. First, the policemen at the arrest; second, anyone else involved at the arrest; third, policemen on duty when the money gets back to the police station. After that it's on record and less likely to go missing. Even someone as stupid as a drug trafficker can figure that out.
The idea that we might run out of iron is just silly. Copper is used in electrics (replaceable with aluminum), pipes (replaceable with plastic), brasses and bronzes (most applications have superior replacements), and alloying additions for other metals. We'll adjust. Rare earths are too large a subject to cover here, but most of them have not been a subject of massive searches.
There isn't much attention to the 70% of the surface under water. We've got a long way to go.
So if you're living in your mother's basement, you survive? WooHoo! Geeks rule! The meek inherit the earth.
And that will be different how?
Feeding starving africans will do NO good. Instead, far better to feed them to themselves.
Fixed it for ya.
The problem is that ice-age type glaciation is a positive-feedback phenomenon. We'll start cooling, and the envirofreaks will say hooray and put political pressure against any CO2 release. By the time they're defeated, we'll be on the brink. At that point it'll take only one event like "The year without a summer" to cover half the globe with snow. The albedo change will have us beyond the tipping point, and goobye civilization.
The modern era is completely unlike pre-industrial times. There's no excuse for widespread widespread warfare, and one good, strong country can put a lid on it.
So corporations are bad guys, but sole proprietorships, partnerships, and cooperatives aren't?
To some extent, gasoline engines are designed for maximum efficiency and clean burning (slightly fuel lean) at below maximum throttle. At maximum throttle, the engine gets extra fuel to ensure that all the air that can enter gets burned. That lowers efficiency.
There are other factors that reduce efficiency at full throttle: more tire slip, more slip in automatic transmission's torque converter, and pumping losses in the crankcase and alternator (and anyplace else that there's a fluid) which are proportional to the square of (rotational) speed.
Although it seems counter-intuitive, obstructions like the throttle plate don't really substantially affect efficiency beyond what the Carnot law demands.
The oil depletion allowance is not "subsidies for the oil industry", it's a perfectly just compensation for a declining asset.
That's just silly. The crash energy is absorbed in collapsing structures located between the front of the vehicle and the passenger compartment. Those structures are designed in proportion to the vehicle's weight, among other things. As I indicated in a post above, greater distance between the front and the passenger increases safety. A bigger crumple zone reduces deceleration and allows more room for a variety of protections for the passenger.
Starting in the 1970s emissions requirements resulted in drastic reductions in power, which got increasingly worse through the mid 1980s. A base Corvette in 1966 was 300 hp, in 1984 180 hp. By the mid 1990s advanced technology was able to provide ever-increasing horsepower without pollution penalty, reversing the 25 year trend caused by regulations. TFA using 1980 as a baseline makes it look like increasing power is a pud pulling competition rather than a recovery to a reasonable performance level.
A mid 1960s family car with automatic transmission got about 13 mph on the highway. Now the figure is close to 35 mpg. The new car is much lighter, somewhat smaller, much safer, is much better designed and better handling, and will last many more miles and years.
The the doubled kinetic energy of two cars is distributed among the two cars, of course.