The following theorem is proved. Let $X_1, X_2, \cdots, X_n$ be $n$ independently (but not necessarily identically) distributed random variables, and assume that the $n$th moment of each $X_i(i = 1, 2, \cdots, n)$ exists. The necessary and sufficient conditions for the existence…
In this short note, we give a very efficient proof of a recent result of Treil-Volberg and Lacey--Spencer giving sufficient conditions for the two-weight boundedness of a sparse operator. We also give a new sufficient condition for the two-weight bou...
Some aspects of weak sufficiency of quantum statistics are investigated. In particular, we give necessary and sufficient conditions for the existence of a weakly sufficient statistic for a given family of vector states, investigate the problem of i...
Sufficient Reason (German: Ueber die vierfache Wurzel des Satzes vom zureichenden Grunde) is an elaboration on the classical principle of sufficient reason
But Not Sufficient is a 2000 novel authored by Eliyahu Goldratt with co-authors Eli Schrangenheim and Carol A. Ptak. Necessary But Not Sufficient is written
We discuss a necessary and sufficient condition for reconstruction of Morse functions with prescribed (regular) level sets on $3$-dimensional manifolds. The present work strengthens a previous result of the author where only sufficient conditions are...
The principle of sufficient reason or PSR is often formulated as the claim that every contingent fact has a sufficient reason. It is sometimes interpreted
We introduce a generalization of the concept of sufficientarianism, intended to rank allocations involving multiple consumption goods. In ranking allocations of goods for a fixed society of agents, sufficientarianism posits that allocations are compa...
Disclosure: I’m currently a few hours into book 7 on audiobook. We are likely all familiar with the Arther C Clarke quote about sufficiently advanced technology being in distinguishable from magic....
The sufficiently scattered condition (SSC) is a key condition in the study of identifiability of various matrix factorization problems, including nonnegative, minimum-volume, symmetric, simplex-structured, and polytopic matrix factorizations. The SSC...
So I'm planning to move out possible alone soon or with a roommate or two. I was wondering what skills or even knowledge I should learn to be more self sufficient instead of needing to go to a pr...
Aug 31, 2019 · Alan's found sufficient evidence at home that pretty much means Emma is going to be tried as an adult. The official charges are second-degree Attempted Homicide, Grand Theft, …
Saw his post yesterday and picked up more shares! I am so thankful that we have a stock wizard like him here to ensure we know when to buy! u/Whole-Sufficient thank you for all the hard work you ...
Sep 17, 2021 · If mora are potentially sufficient to describe language, then what do syllables add, in theory? Ask Question Asked 4 years, 5 months ago Modified 4 years, 3 months ago
Motivation: In a predictive modeling setting, if sufficient details of the system behavior are known, one can build and use a simulation for making predictions. When sufficient system details are not known, one typically turns to machine learning, wh...
The article of the title attempts to prove a "General theorem" (GT) giving sufficient conditions under which a previously introduced "general conditioned average" "converges uniquely to the quantum weak value in the minimal disturbance limit." The "g...
Sufficiently Breathless, the second album by Captain Beyond, was released in 1973 and features a jazzier, smoother sound than its predecessor, reminiscent
The aim of this work is to make a survey on recent sufficient optimality conditions for optimal control problems with time delays in both state and control variables. The results are obtained by transforming delayed optimal control problems into equi...