” author Bob Palais, he noted that tau (which I sometimes refer to as a “social hack”) has now gone out to billions of people—or, using the metric prefix giga-, meaning “billion”—out to gigapeople:I’d say when you’ve reached the level of “gigapeople”, your social hack ...
x * prod_{k>=0}(1 - x^k)^24. This is an integer function with fascinating number theoretic properties. For instance, it's multiplicative, meaning tau(m*n) = tau(m)*tau(n) for m and n coprime. It also satisfies some unusual modular properties, like ...
This expression is used to clarify the geometric meaning of the Kontsevich-Zorich formula for the sum of the Lyapunov exponents associated with the Teichm"uller flow on the Hodge bundle.doi:10.4310/MRL.2011.v18.n3.a6Korotkin, DmitryZograf, Peter...
5b), meaning the second pattern is more strongly expressed in people with a higher concentration of pTau181, suggesting this pattern may be specific to AD. In neither model did pTau181 concentration interact with days between CSF and MRI collection, so this was not included in the final ...
could be achieved by removing tau tangles from the brain. When such information becomes available, a better understanding on the biological meaning of soluble p-tau will be achieved, since currently it is not entirely possible to disentangle its dual association with AD key neuropathological ...
It would be interesting to identify the physical origin of this D-brane like effect and clarify its meaning in JT supergravity. 4 Bessel case If we ignore the κ-class, the BGW model reduces to the so-called Bessel case corresponding to the spectral curve y = − 1 2z , or the genus...
Meaning Carriership of APOEε4 is associated with tau pathology in medial temporal structures independently of amyloid-β, extending previous reports of greater medial temporal neurodegeneration and memory impairment in APOEε4 carriers. Abstract Importance Apolipoprotein E ε4 (APOEε4) is the single ...
Blood phosphorylated tau (p-tau) forms are promising Alzheimer’s disease (AD) biomarkers, but validation in matrices other than ethylenediaminetetraacetic acid (EDTA) plasma is limited. Firstly, we assessed the diagnostic potential of p-tau231 and p-tau181 in paired plasma and serum samples. Se...
In each cohort, we measured the effect of one APOEε4 allele or two APOEε4 alleles, meaning that the comparison is to indivi- duals who do not carry an APOEε4 allele. The results dis- played in this manuscript are multiple comparisons corrected t-values (Random Field Theory with a ...
This type of equilibrium concept is time consistent, meaning that along the equilibrium path, no player is incentivized to deviate from his original plan [23]. Thus, the definition of an open-loop solution concept (equilibrium) can be as follows: Definition 2. The ordered pair(𝜙1,𝜙2)...