What does an apostrophe mean in math sets? What does ^ mean in mathematics? What is the meaning of the sign "^" in the equation: 2x^2 - 7? What does the symbol "!" stand for in math? What is the meaning of algebra in math?
What does the determinant of a matrix mean? What is an "undefined" matrix? Provide an example. Is it possible for \lambda =0 to be an eigenvalue of a matrix? If so, then give an example of a 3 x 3 matrix with this property. What else can you say about this matrix? How do you...
Infinite arithmetic sequences don't have a last term, and therefore their mean is undefined. Instead, a mean for a partial sum can be found by limiting the sum to a defined number of terms. In that case, the partial sum and its mean can be found the same way as for a non-infinite...
Understand the formula for calculating slope: rise over run (change in y divided by change in x). Practice solving slope problems using different sets of points. Learn about the different types of slope, such as positive, negative, zero, and undefined. Explore real-life examples of slope in...
Theorem 1 There does not exist any algorithm which, given a dimension , a periodic subset of , and a finite subset of , determines in finite time whether there is a translational tiling of by . The caveat is that we have to work with periodic subsets of , rather than all of ; we ...
for some subsets of , where denotes the set of sums if the sums are all disjoint (and is undefined otherwise), and denotes disjoint union. (One can also write the tiling equation in the language of convolutions as .) A bit more specifically, the paper studies the decidability of the ...
The numbers (and the Algebra) always count. I think many of the preceding comments have been made by people who do, in fact, have an appreciation of the Maths but it is so familiar to them that they are hardly aware of it. Yes, but don't forget also that getting buried in pure ...
This is a review of the issue of randomness in quantum mechanics, with special emphasis on its ambiguity; for example, randomness has different antipodal r
How does this require more than the well-known equivalence between the Heisenberg and Schrodinger pictures, given the algebra stuff is the Heisenberg observables? Firstly I will say note they are only that equivalent in QM, in QFT the Schrodinger picture can require additional renormalizations...
Math Algebra Algebraic expression What is the difference of 6x^7 - 8x^7?Question:What is the difference of 6x^7 - 8x^7?Adding and Subtracting Expressions:When adding or subtracting two expressions, we add or subtract the terms with the same variables and the variables have the same power...