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comment Conditions that suffice to show compositeness using Miller-Rabin test
One often calls $a$ a "witness" to the compositeness of $n$ iff the strong pseudoprime test for $n$ using (exponential) base $a$ fails. Your subject line suggests a focus on the sufficiency of some such test (finding a witness) in the Miller-Rabin primality test when $n$ is composite. Perhaps more interesting is the converse aspect, of showing a witness can necessarily be found.
reviewed Leave Closed Graph, Path problem
comment Is sets intersections distributive?
One does not say that an operation is (by itself) distributive. Distributivity is a relationship between two operations (as when ordinary multiplication distributes over ordinary addition). You seem to be considering whether set intersection distributes over summation of vector subspaces, but again, this is not an intrinsic property of set intersection (truth or falsity depends on what second operation is involved).
reviewed Close Is sets intersections distributive?
reviewed Close Basics to find bijective function from a given interval
comment What is “observation”?
Note the similar phrase "by inspection" offered in lieu of an explicit proof or proof sketch. It doesn't necessarily mean not mathematically interesting (otherwise why bring it up?), but it does imply that the Reader should be able to verify the claim without elaboration.
reviewed Leave Open What is “observation”?
comment Convergence almost surely and in probability
I don't think you've quite asked the question that you intended. A pair of sequences "of random variables with same distribution" might mean several things, such as assuming that the entries of both sequences have identical distributions. Or you might mean that the sequences themselves are random variables, though this would be a bit nonstandard. In any case more context is needed to develop a notion of a sequence converging "almost surely" and "in probability". Moreover there need not be any inconsistency in both occurring.
reviewed Leave Open How can a high schooler get more involved in mathematics?
reviewed Close Example of a non-normal integral variety $X$ for which “algebraic Hartog's” theorem fails?
reviewed Leave Open Probability that two independent extractions, each one without repetition, share K elements
comment Probability that two independent extractions, each one without repetition, share K elements
Perhaps "sample" is a more widely used term than "extraction", and I understand "without repetition" to imply sampling without replacement. Please see How can I format mathematics here? as the site supports/displays $\LaTeX$ through the use of MathJax software.
reviewed Edit Planar graph $G$ whose repeated strong products with itself are planar
revised Planar graph $G$ whose repeated strong products with itself are planar
clarified problem statement, hopefully in accord with OP's intention
reviewed Leave Closed On the meaning of “or” in logic
comment On the meaning of “or” in logic
In hindsight perhaps your question was less about the meaning of "or" than about the meaning of domain of a function ?
reviewed Reopen Linear maps and extension of scalars
comment About inverse functions of polynomials.
Please see How can I format mathematics here?. This site supports $\LaTeX$ through MathJax software.
revised Discretization of Gray Scott Model
spelling in title
comment Prove that a Vector Orthogonal to an Orthonormal Basis is the Zero Vector.
For a next challenge, try proving the result without assuming $B$ is orthonormal, just a basis (of inner product space $W$).