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An Integral Result from Parseval's Theorem
In this Insight article, Parseval's theorem will be applied to a sinusoidal signal that lasts a finite period of time. It will be shown that it necessarily follows that ## (\frac{\sin(2 x_o)}{x_o})( \frac{\pi}{2})=\int\limits_{\infty}^{+\infty} \frac{\sin(xx_o) \sin(x+x_o)}{(xx_o)(x+x_o)} \, dx ##. 
Hamiltonian in Quantum vs Classical
The Hamiltonian in classical mechanics is not always equal to the total energy of the system. I believe this is only true if there is only a potential field and no vector potential. However, in quantum mechanics for a particle in an EM field, even if a vector potential is used the energy operator E > H. Is this an inconsistency? 
Is Biomass Carbon Neutral?
About 9% of Germany's power is produced by wood biomass burning, second only to wind in their "renewable" sector. Clearly, wood can be "renewable", but to me the more important question is: is it green? It appears that the EU considers biomass to be "carbon netural" and thus subsidizes it as a clean, renewable energy source. But the situation is not so clear in the US and there is debate about the issue (sources below)... 
Solar system's path in the Milky Way galaxy
My understanding: Circuit is ~ 30 million years. Plane of solar system orbit is tilted from plane of milky way.
Is milky way plane crossed once or twice? What is error bar for 30 million? How much does dark matter density vary along solar system path? 
Counting intersections of lines in a triangle
Divide each side of a triangle into n equal lengths. Connect the ends of each length to the opposite vertex with straight lines, thereby forming 3n overlapping triangles of equal area. (The problem at the link is an example with n=3.) At how many points will three lines intersect? 
Double field theory: Where is the extra space?
Double field theory [1] is an attempt to realize Tduality of string theory at the level of field theory. For instance, if a field in ordinary field theory lives in 4 noncompact spacetime dimensions, then a field in double field theory lives in 8 noncompact spacetime dimensions. I don't understand it from the physical point of view... 
The Sleeping Beauty Problem: Any halfers here?
The sleeping beauty problem is a well known problem in probability theory. Allegedly, there are many "thirders" who think that the correct answer is 1/3, but also many "halfers" who think that the correct answer is 1/2. For me, it is quite obvious that the correct answer is 1/3. Is there anybody here who is convinced that the correct answer is 1/2? If you are one of them, what is your argument for 1/2? 
Inertia and Mach's Principle
Mach, Newton and others observed that centrifugal forces appear in a object when it rotates in relation to the stars. Einstein was convinced by this and tried, unsuccessfully as far as I understand, to incorporate what he called Mach’s Principle into General Relativity... 
LHC starts 2017 datataking
"Stable beams" has been declared. Similar to 2016, the initial collision rate is low (0.2% the design rate). The machine operators have to check that everything works and nothing presents a danger to the machine before more protons can be filled in. It will probably take a few weeks to reach the same collision rates as achieved last year. Meanwhile, the experiments start collecting some initial data... 
Advances in Machine Intelligence
Recently, I came across an individual who claimed to research AI professionally and who expressed to me the following view after some discussion of various technologies and the rate of advancement of such tech... I would very much love to read what anyone has to say regarding this, and would also greatly appreciate where you think machine intelligence will be in the next 10 year span... 
Einstein's definition of time
It so happens that last night I was rereading Einstein's famous 1905 paper On the Electrodynamics of Moving Bodies. I think this is one of the most fascinating scientific papers in history, but some people say it's not at all clear. In any case I love reading Einstein's papers. I would be interested in reactions to how Einstein defines time in the first section of this paper. Is it clear? Is it confusing? 
Challenges to QED from hyperfine measurements
Does this really challenge QED? Or does this mean that we miss certain contributions to QED calculations? The authors are speculating "new effects might appear in the interaction of the electron with itself, the vacuum or the nuclear fields in this regime, that is, the hyperfine interaction might be affected by the existence of new particles not included yet in the current standard model and therefore not considered in stateoftheart... 
Educating the General Public about pro Nuclear Energy?
Why would nuclear energy be better option, I hear a lot of fears from the general public of why it is not safe?
How would someone convince someones fear about the safety of nuclear power, considering what happened in Japan? 
Interview with Astronomer Pamela Gay
For every person who says “I hate science” there is at least one person saying, “I once wanted to be a scientist.” Life keeps a lot of people from following their desires, and a lot of these people go on to be artists or engineers, or… something other than a scientist. Citizen science lets these people fulfill their dream, and lets them contribute to our understanding of the world and the universe around us... 
New ideas on the mechanism of solar CME's
Solar activity has been a love of mine since the early 1970's and am always looking out
for new research info. Some recent studies and lots of computer animations have come up with new understandings of the mechanisms that instigate CME's and other mass ejections from the sun.
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