Is angle a vector
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I am a bit confused, since I passed my course in linear algebra few years from now.
If I can make a vector space over field R which has angles as elements, then angles are vectors.
So i know that angles can't be vector, but I see vector space (V, +, *), where set V contains some angles in Radian or whatever and I can see that these condition work.
1) (V,+) is a group
2) a*(u+v) = a*u + a*v
and so on by definition.
So what am I doing wrong?
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can anyone explain what the overflow detection mechanism works in a 1-bit alu? i dont understand how im suppose to make this module. i have everything else set up starting at basic gate levels, then building up from there, using 1/2 adders, to make full adders, 2x1 multplexer to make 4x1 multplexer, but i dont know how to design the overflow detection at the gate level, and all diagrams i find just have a 5 wires going into the circuit, and 1 coming out. so i dont really know what it is..
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"To view nature scientifically is to view it in a purely "objective" manner. The methods of science are by their very nature detached, dispassionate, and impersonal. They are designed to filter out distortions of human bias, pre-conception, and wishful thinkin and to present us with an unvarnished description of the facts, those facts that would remain were human beings to vanish from the unvierse.
The scientific facts are the elements of nature that can be quantitatively analyzed, subsumed under formal pawls, comprehended as the outcome of efficient causes or statistical probabilities, and subjected to rigorous empirical tests. These elements, taken collectively and in the network of their relationships, constitute the whole of nature as scientifically conceived. Existential meanings, values, and the qualitative dimensions of human experience have no place in this picture of nature, because they are not among the objective facts of the “world out there” but only projections of human subjectivity. Just as scientific methods of investigation and confirmation are meant to filter out distortions of subjective preference and value, so the scientific descriptions that result from these methods are descriptions of a nature completely objective and value-free. If the techniques of science the only ones suited to give us reliable information about nature, it then follows that nature as properly understood is devoid of value and oblivious to human purposes and non-scientific meanings."
The nihilist view of empirical science.
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Does sleeping on your back give you nightmares? There was a thread on robotland I was lurking, and everyone there said that they had weird, scary dreams while sleeping on their backs, and this was not the case when sleeping on their sides. I get nice, pleasant dreams and a full sleep when I sleep on my back.
So, is this the result of blood rushing to certain parts of your brain due to position you are sleeping in? Is that even possible? So, if you make babies sleep one way only (they move, obviously, but you still can make them lay down in a different position initially) will different parts of the brain, that are better simulated by blood develop differently? Will this be the same for adults? Is cranial volume a big factor in this, or is the size of your brain (because brains shrink as you age/don't use them)? What is the possibility of such recurring phonomenon (weird dreams while sleeping on back) being integrated in neural circuits after a certain period of time and set repetitions?
All of this assuming the person is healthy, does not have any breathing problems in any position while sleeping and mentally sound.