We consider a sequence HN of finite-dimensional Hilbert spaces of dimensions dN → ∞. Motivating examples are eigenspaces, or spaces of quasi-modes, for a Laplace or Schrödinger operator on a compact Riemannian manifold. The set of Hermitian orthonormal bases of HN may be identified with U(dN), and a random orthonormal basis of is a choice of a random sequence UN∈U(dN) from the product of normal...

In artificial intelligence (AI) there are two major schools, symbolic and connectionist. Weng 2011 [6] proposed three major properties of the Developmental Network (DN) which bridged the two schools: (1) From any complex FA that demonstrates human knowledge through its sequence of the symbolic inputs-outputs, the DP incrementally develops a corresponding DN through the image codes of the symbol...

Adiponectin (APN) exerts its metabolic regulation largely through AMP-dependent protein kinase (AMPK). However, the role of AMPK in APN's antiapoptotic effect in ischemic-reperfused (I/R) adult cardiomyocytes remains incompletely understood. The present study was designed to determine the involvement of AMPK in the antiapoptotic signaling of APN. Cardiomyocytes from adult male mice overexpressi...

The actions of TRH and its analog, y butyrolactone y -carbonyl histidyl prolinamide citrate (DN-1417) on the unit activities of the cerebral cortex, caudate -putamen and nucleus accumbens were examined using a microelec trophoretic technique in anesthetized rats. Over 80% of the neurons examined in the nucleus accumbens responded to TRH and DN -1417. The effects were mainly inhibitory, but exci...

In the past, hyperfiltration and increased glomerular capillary pressure have been identified as important determinants of the development of DN (diabetic nephropathy). Recently, some basic research and clinical reviews on DN have omitted identifying hyperfiltration as an important risk factor. At the same time, different rodent models of DN have been described without and with documented hyper...

Let n points be placed independently in d−dimensional space according to the density f(x) = Ade −λ‖x‖α , λ > 0, x ∈ Rd, d ≥ 2. Let dn be the longest edge length of the nearest neighbor graph on these points. We show that (λ−1 log n)dn−bn converges weakly to the Gumbel distribution where bn ∼ (d−1) λα log log n. We also prove the following strong law result for the normalized nearest neighbor di...

AIMS Polymorphisms of the ADIPOQ gene were associated with diabetic nephropathy (DN) in case-control studies predominantly among European populations. Gender may modify the ADIPOQ associated risk for DN. We investigated the association of 18 ADIPOQ polymorphisms with DN in a prospective Taiwanese cohort of type 2 diabetes (T2D) and explored whether gender plays a role in this genetic associatio...

Abstract. The aim of this study was to evaluate the contribution kidney biopsy performed with an appropriate indication diagnosis and treatment in diabetic patients nephropathy.
 Methods: In retrospective 32 type 2 diabetes who underwent a single center between 2012-2019 were included. Kidney indications determined as without retinopathy proteinuria above 1 g/day.
 Results: Diabetic (...

Albuminuria is the most characteristic marker of diabetic nephropathy (DN), which a complication associated with DN progression. However, renal functions decreased by about one-third patients before occurrence albuminuria. We study role telomere length (TL) blood leukocytes, some inflammatory markers in progression type 1 diabetes (T1D). Volunteers were selected and distributed into four groups...

Let AN be an N-point set in the unit square and consider the Discrepancy function DN(~x) ≔ ♯ ( AN ∩ [~0, ~x) ) −N|[~0, ~x)|, where ~x = (x1, x2) ∈ [0, 1], [0, ~x) = ∏2 t=1[0, xt), and |[~0, ~x)| denotes the Lebesgue measure of the rectangle. We give various refinements of a well-known result of (Schmidt, 1972) on the L∞ norm of DN. We show that necessarily ‖DN‖exp(Lα) & (logN)1−1/α , 2 ≤ α < ∞ ...