Is it surprising to anyone, or rather counter intuitive, that e^{ikx} and e^{-ikx} are 2 " perpendicular dimensions?

So the complication of the norm on Lp spaces is that functions with zero norm are not necessary identically zero but can only be zero "almost everywhere". The set of functions that are zero "almost everywhere" actually form a subspace in Lp.

However, if we are only concerned with integral operators then the set of points with non-zero values in these functions has a zero measure and does not enter the Lebesgue integral

OMG, he's so funny!!!

My public high school wasn’t the best, but we did have an amazing history teacher. Mr. L, as we called him, brought our country’s story to life. So when he taught us about the Indian Removal Act and the Trail of Tears, Andrew Jackson’s campaigns to force at least 46,000 Cherokees, Choctaws, Muscogee-Creeks, Chickasaws, and Seminoles off their ancestral lands, my classmates and I were stricken. It was unfathomable that thousands of Native American men, women, and children were forced to march West, sometimes freezing to death or starving because U.S. soldiers wouldn’t let them bring extra food or blankets. It was hard to hear that the Choctaw Nation lost up to a third of its population on the death march. It was disorienting to learn that what amounted to ethnic cleansing had come at the insistence of an American president. But then it was lunchtime, and we pulled out our wallets in the cafeteria.

Andrew Jackson was there, staring out from every $20 bill.

We had been carrying around portraits of a mass murderer all along, and had no idea. Andrew Jackson engineered a genocide. He shouldn’t be on our currency

Obama says 'we should be ashamed' of failure to enact modest gun control measures
http://blink.htcsense.com/web/articleweb.aspx?regionid=3&articleid=24346695

Researchers translate Chimpanzee sign language
http://blink.htcsense.com/web/articleweb.aspx?regionid=3&articleid=25502178

Coming from engineering background, I appreciate his simple explanation very much!

At the end of this lecture, Prof. Ole provided an example of a mathematical model of an abstract physical system. I think his description correspond to saying that the output y is equal to the convolution of the impulse response k with the input x. In engineering, we usually use the Laplace transform, Fourier transform or Z transform to turn this convolution into multiplication on the frequency domain. I hope this can provide some context for the example mentioned.

I was told that the EU is much more liberal than the US. I can see it now. Wow!

NYTimes: The Era of Cloud Computing
http://nyti.ms/1konXHW