109,577 research outputs found
On the Law of Large Numbers for Nonmeasurable Identically Distributed Random Variables
Let be a countable infinite product of copies of the
same probability space , and let be the sequence of the
coordinate projection functions from to . Let be a
possibly nonmeasurable function from to , and let . Then we can think of as a sequence of independent
but possibly nonmeasurable random variables on . Let . By the ordinary Strong Law of Large Numbers, we almost surely
have , where
and are the lower and upper expectations. We ask if anything more precise
can be said about the limit points of in the non-trivial case where
, and obtain several negative answers. For instance, the
set of points of where converges is maximally nonmeasurable:
it has inner measure zero and outer measure one
Taboo, the Game: Patent Office Edition—The New Preissuance Submissions Under the America Invents Act
Thorough patent examination ensures that issued patents confer constitutionally granted incentives to innovate but do not create inappropriately broad monopolies. Examiners at the United States Patent and Trademark Office are alone tasked with striking this proper balance, in part by searching the universe of existing published knowledge to determine the originality of the applied-for invention.
In 2011, Congress enacted the Leahy-Smith America Invents Act, which included a provision allowing the public to present examiners with relevant publications that the examiners’ own searches might not otherwise uncover. However, this “preissuance submissions” provision and its related administrative rule are tempered by 35 U.S.C. § 122(c) (2006), which prohibits any third-party, pre-grant “protest or other form of [preissuance] opposition” to an application. Thus, although a party may describe to an examiner how its submission is relevant to an application, that party is prohibited from arguing how the submission renders that application unpatentable.
This Note argues that Congress should amend § 122(c) to permit preissuance third-party argumentation for two reasons. First, the current scheme arguably violates that law already. Second, a rule allowing submitter argumentation would better incentivize participation by competitive parties who fear that examiners might not recognize their submitted publications\u27 full invalidating potential
Nestes Modes, ’Qua’ and the Incarnation
A nested mode ontology allows one to make sense of apparently contradictory Christological claims such as that Christ knows everything and there are some things Christ does not know
Constant current load matches impedances of electronic components
Constant current load with negative resistance characteristics actively compensates for impedance variations in circuit components. Through a current-voltage balancing operation the internal impedance of the diodes is maintained at a constant value. This constant current load circuit can be used in simple telemetry systems
- …