In the two-dimensional case one can arrange matters so that all the velocities are parallel. If we furthermore assume that the tile is connected, we can also show that the union of all the translates with a common velocity form a -invariant subset of the torus. Finally, we show that til...
It is now tempting to try to set up an approximately scale-invariant blowup solution. It seems that the first step in this is to construct a “soliton” type localized steady state solution, that is a solution , to the equation that decays in the variable; one can then hope to do a...
Latent profile analysis was performed to estimate and decide the number of profiles. This approach does not rely on random values (e.g. a standard deviation above the mean) but on the fit of models with a different number of profiles. To decide the number of profiles, we attended both the...
What does 40 degrees below the horizontal mean? What is homeomorphism invariant? Describe the rotation and reflection symmetries in the Maple Leaf of Canada and the "Life" Ancient Egypt cross. What is a non-affine transformation called? The difference between 5 times a number and 4 is 16. Tr...
What does it mean for a function to be one to one linear algebra? What is algebraic topology? What is a preimage in math? What is an even monomial function? What is an open equation in algebra? Which of the functions are linear? Explain your reasoning. f(x) = x^2+2x-3 \ \ \ ...
algebra. It includes rings of algebraic integers, polynomial rings, and so on. Many other mathematics areas draw upon commutative algebra in different ways, such as differential topology, invariant theory, order theory, and general topology. It has occupied a remarkable role in modern pure ...
There is a big difference between "conserved" (does not change over time) and "invariant" (is agreed on by different reference frames). The body which is at rest or in motion in the non-inertial frame experiences a change in momentum (changes over time) which is apparently not caused ...
that gave birth to "everything" you are wrong, because "nothing" is not a state or a thing."The meaning of the words are clear.Originally posted by EyeseeIn summary, everything in the universe can be traced back to the concept of "nothing", as it is the only thing that does not ...
Yes, some of the descriptions might not mean that much at first glance.Googleis your friend! Related Posts: But, oh noes! Since “qualia” is obviously a damned stupidity, I got curious about “representationalism”. Well, if philosophers think brains have “states” the recent real time ...
This shift becomes unitary once we quotient out by null vectors, and the constant sequence is clearly a unit vector that is invariant with respect to the shift. So by the van der Corput inequality, we have for any . But we may rewrite . Then observe that if , is a polynomial of deg...