To eat tough meat, chewing is almost futile. Grab one part in your hands, the other in your teeth, and tear it. That's what the canines are for, that's what wild predators like wolves and big cats do. The premise of the article is flawed by not considering all possibilities.
For a given amount of power, DC can use lower voltage and/or lower current than AC. That means less aluminum or copper, or towers that aren't quite as big. DC doesn't suffer from skin effect. (Skin depth for aluminum and copper is about 10 mm at 50/60 Hz.) One disadvantage of DC is that arcs aren't self-quenching.
There are numerous devices for making DC directly from mechanical motion. Tesla invented a low voltage device ("Unipolar Dynamo") which is unfortunately very inefficient. There are also very high voltage DC generators like the Wimshurst machine that induces an accumulation of charge and the Van de Graff generator which uses the simple technique of transporting charges on an insulating belt.
The legitimate powers of government extend to such acts only as are injurious to others. But it does me no injury for my neighbour to say there are twenty gods, or no god. It neither picks my pocket nor breaks my leg.... Reason and free enquiry are the only effectual agents against error.
-- Thomas Jefferson
Cruz's religious beliefs beliefs are unlikely to cause significant harm. Remember, Carter was also a religious loon, and the damage he did came from his political beliefs, not his religion.
People are quite capable of compartmentalizing contradictory portions of their beliefs. Cruz's craziness is pretty much limited to abortions and chemical birth control, and it's unlikely he'll be able to overturn existing law (nonetheless, it is a risk).
By way of contrast, consider the other major candidates. Hillary is corrupt and nasty, physically ill and has probably suffered brain damage. Sanders seems genial, but he's a communist who will lead the country to poverty and probably the military loss of parts of the 50 states. Trump is a corrupt and nasty populist flibertigibbet, with a grossly exaggerated opinion of himself. Rubio is a moderate-conservative with principles that probably will not stand up against strong opposition, and who doesn't understand the border control problem.
Look at those candidates and ask who will do the least damage and who will repair the most existing problems. Cruz is far better than the rest.
All conventional non-trivial characterizations of God lead to contradictions, therefor God does not exist.
To clarify, by non-trivial I eliminate pantheism and other such foolishness that gives God no special properties.
By conventional I eliminate "I am God" and "that rock is God" and other non-supernatural definitions, and I eliminate substituting fairies and pixies, etc. for God.
The hackneyed quest for or denial of a meaning of life is properly countered with another commonplace: "Life is what you make it."
You make a good point. Further complicating matters is that sometimes the terminology changes for no apparent reason.
There are books like The VNR Concise Encyclopedia of Mathematics that provide some of the reference you're looking for, but math contains too many branches with too many ways of looking at related concepts for one reference to cover them all.
Feel free to live in a house designed and built by a statistician, or drive the car he designed and built, or fly in the airplane. I'll go with stuff the trigonometry expert did. Good luck - you'll need your statistician to evaluate your chances.
Calculus is essential to differential equations, which in turn is necessary to model the physical world. No scientific or engineering education is complete without it.
Computer modeling - throwing together observations and polynomials of presumed drivers - on occasion may make a significant correlation between f(input) and output. Don't depend on it, and don't use it for extrapolation. If you want to understand the mechanisms behind the real world, (nonlinear) differential equations are essential, and calculus is essential to differential equations.
If you want to destroy the country, it's hard to find a more effective method than insisting that tomorrow's creators spend the 3 or 4 years of high school cooking pot roasts and subtracting columns of numbers. Fit the curriculum to the student.
This is the as yet mostly unutilized potential of computer learning. For those of us who found pre-college math somewhere between easy and obvious, self-paced modules of mathematics would be a huge boon.
Properly implemented computerized education has vast advantages - custom pacing, infinitely patient electronic teachers, low burden on human teachers. It's hard for me to imagine any field that would benefit more from computerized education than math. The progress that could be achieved with children not held back in areas where they're most effective should be astounding.
Schools - centralized places where children are taught en masse should have been a thing of the past two decades ago. What the hell is wrong? Why hasn't this happened?
The typical school week is 30 hours, of which 2 to 5 hours is lunchtime and 0 to 4 hours is walking between classes. Many children already hate school and can barely contain their violence in that small period. You want to imprison them for 50 hours a week?
Exercise is for when school is out, not in a prescribed class where half the male students consider the teachers sadistic boors. The exception may be densely populated cities lacking adequate safe playgrounds, but suburban and rural areas should not need gym classes.
Too bad it's not possible to make soft seats that aren't easily destroyed with sharp objects. Sitting on a wooden chair for an hour hurts, and that's one reason students can't seem to focus.
At high school age, calculus is about as far as math training gets. Maybe 10% of kids are advanced enough then to take calculus, and even among them many struggle. Perhaps it should be easy for most people to learn calculus by then, but it's not.
I have no trouble looking back 45 years and saying to myself "calculus at high school level only consists of a few dozen facts, how can learning them be a problem?" But it is a problem for most people; forming the new ways of thinking is difficult.
Slashdot Mirror
According to the Washington Post, Rubio, Clinton, and Sanders are sitting on the fence on this issue.
They'd do it to generate good will, which is wearing thin on the Google brand.
To eat tough meat, chewing is almost futile. Grab one part in your hands, the other in your teeth, and tear it. That's what the canines are for, that's what wild predators like wolves and big cats do. The premise of the article is flawed by not considering all possibilities.
For a given amount of power, DC can use lower voltage and/or lower current than AC. That means less aluminum or copper, or towers that aren't quite as big. DC doesn't suffer from skin effect. (Skin depth for aluminum and copper is about 10 mm at 50/60 Hz.) One disadvantage of DC is that arcs aren't self-quenching.
100,000 3 volt power supplies wired in series.
Ten 30kV DC CRT power supplies wired in series, from discarded televisions. Recycle!
There are numerous devices for making DC directly from mechanical motion. Tesla invented a low voltage device ("Unipolar Dynamo") which is unfortunately very inefficient. There are also very high voltage DC generators like the Wimshurst machine that induces an accumulation of charge and the Van de Graff generator which uses the simple technique of transporting charges on an insulating belt.
The VAX was introduced in 1977. It would not have been a tube machine.
Cruz and "his campaign" are not the same thing. Also consider that the original disinformation came from CNN.
They see his soul.
You do not have the right to force me to pay your medical bills. That also applies to your relation with the other 300 million people in the US.
Cruz's religious beliefs beliefs are unlikely to cause significant harm. Remember, Carter was also a religious loon, and the damage he did came from his political beliefs, not his religion.
Thanks, that's not a bad physical comparison. The fat in Cruz's face bothers me more than a weak smile.
People are quite capable of compartmentalizing contradictory portions of their beliefs. Cruz's craziness is pretty much limited to abortions and chemical birth control, and it's unlikely he'll be able to overturn existing law (nonetheless, it is a risk).
By way of contrast, consider the other major candidates. Hillary is corrupt and nasty, physically ill and has probably suffered brain damage. Sanders seems genial, but he's a communist who will lead the country to poverty and probably the military loss of parts of the 50 states. Trump is a corrupt and nasty populist flibertigibbet, with a grossly exaggerated opinion of himself. Rubio is a moderate-conservative with principles that probably will not stand up against strong opposition, and who doesn't understand the border control problem.
Look at those candidates and ask who will do the least damage and who will repair the most existing problems. Cruz is far better than the rest.
All conventional non-trivial characterizations of God lead to contradictions, therefor God does not exist.
To clarify, by non-trivial I eliminate pantheism and other such foolishness that gives God no special properties.
By conventional I eliminate "I am God" and "that rock is God" and other non-supernatural definitions, and I eliminate substituting fairies and pixies, etc. for God.
The hackneyed quest for or denial of a meaning of life is properly countered with another commonplace: "Life is what you make it."
Common Core obfuscates math. Other subjects differ in their particular problems, but rest assured that political bias is injected where possible.
That is so foul. Hey slave, go out and perform 40 hours of government-approved charity work.
It looks like you need to take a course in statistics. Say hello to Carl Friedrich Gauss.
You make a good point. Further complicating matters is that sometimes the terminology changes for no apparent reason.
There are books like The VNR Concise Encyclopedia of Mathematics that provide some of the reference you're looking for, but math contains too many branches with too many ways of looking at related concepts for one reference to cover them all.
Feel free to live in a house designed and built by a statistician, or drive the car he designed and built, or fly in the airplane. I'll go with stuff the trigonometry expert did. Good luck - you'll need your statistician to evaluate your chances.
You're confusing calculus with art history.
Calculus is essential to differential equations, which in turn is necessary to model the physical world. No scientific or engineering education is complete without it.
Computer modeling - throwing together observations and polynomials of presumed drivers - on occasion may make a significant correlation between f(input) and output. Don't depend on it, and don't use it for extrapolation. If you want to understand the mechanisms behind the real world, (nonlinear) differential equations are essential, and calculus is essential to differential equations.
The xkcd on purity applies to more than just purity https://xkcd.com/435/
If you want to destroy the country, it's hard to find a more effective method than insisting that tomorrow's creators spend the 3 or 4 years of high school cooking pot roasts and subtracting columns of numbers. Fit the curriculum to the student.
This is the as yet mostly unutilized potential of computer learning. For those of us who found pre-college math somewhere between easy and obvious, self-paced modules of mathematics would be a huge boon.
Properly implemented computerized education has vast advantages - custom pacing, infinitely patient electronic teachers, low burden on human teachers. It's hard for me to imagine any field that would benefit more from computerized education than math. The progress that could be achieved with children not held back in areas where they're most effective should be astounding.
Schools - centralized places where children are taught en masse should have been a thing of the past two decades ago. What the hell is wrong? Why hasn't this happened?
The typical school week is 30 hours, of which 2 to 5 hours is lunchtime and 0 to 4 hours is walking between classes. Many children already hate school and can barely contain their violence in that small period. You want to imprison them for 50 hours a week?
Exercise is for when school is out, not in a prescribed class where half the male students consider the teachers sadistic boors. The exception may be densely populated cities lacking adequate safe playgrounds, but suburban and rural areas should not need gym classes.
Too bad it's not possible to make soft seats that aren't easily destroyed with sharp objects. Sitting on a wooden chair for an hour hurts, and that's one reason students can't seem to focus.
Egads. I hope you meant "interpolate", not "extrapolate". Extrapolate in chemical engineering too often is a synonym for "BOOM".
At high school age, calculus is about as far as math training gets. Maybe 10% of kids are advanced enough then to take calculus, and even among them many struggle. Perhaps it should be easy for most people to learn calculus by then, but it's not.
I have no trouble looking back 45 years and saying to myself "calculus at high school level only consists of a few dozen facts, how can learning them be a problem?" But it is a problem for most people; forming the new ways of thinking is difficult.