what does it mean to say the null space is trivial? 1. What happens to the value of \ln (x) as x approaches zero? Suppose that int(A) is non-empty. Prove that A cannot have a measure of zero. What is a zero product property? One zero is given, find all others. P(x) = x...
This makes their averaging non-trivial. The notion of mean gravitational field is defined and it is proven that this field obeys the equations of General Relativity if the unaveraged field does. The workings of the averaging procedure on Maxwell's field and on perfect fluids in curved space-...
you can tell people that "the non-trivial roots of the zeta function have real part equal to ½" but you'll struggle if someone follows up by asking what that means. It's not like Fermat's Last Theorem or the Four Color Problem, that are mathematically...
What does substantive mean? Substantive means having substance, being significant, essential, or real. 6 Does substantive imply importance? Yes, substantive often implies something important or meaningful. 4 Is substantive used in legal contexts? Yes, substantive is often used in legal contexts to re...
侦查人员在涉嫌故意杀人罪的张某住处将其抓获Y经当场对其住处进行搜查Y提取作案工具匕首一把Y但因情况紧急Y需要立即对张某进行讯问Y使其供述已着手再次作案的同伙李某的去向Y因此未能制作搜查笔录、提取笔录和扣押清单事后Y侦查人员制作了书面情况说明进行合理解释Y该匕首可以作为物证采用( )
What does it mean when there is an exclamation point (!) put after numbers? (e.g., 3!) Define literal equation Define/explain the following term, and give a short example and non-example. Commutative property What information do we need to calculate r-squared? a. r b....
The term "statistical significance" often pops up in research and data analysis, but what does it actually mean? At its core, statistical significance is a way to express how confident you can be that your findings are not just a fluke. It’s like a stamp of reliability on your results,...
One of the standard routes to uniqueness is to establish a “strong Feller property” that enforces some continuity on the transition operators; among other things, this would mean that two ergodic probability measures with intersecting supports would in fact have a non-trivial common component, ...
De minimis is a Latin term used in the legal system to refer to a matter that is too small to be handled by the court. The concept...
This is non-trivial for as small as . In the case when is prime, there has been very little improvement to the Burgess bound (or its Fourier dual, which can give bounds for as large as ) in the last fifty years; an improvement to the exponents in (3) in this case (particularly ...