BACKGROUND Patients with acute non-Q wave myocardial infarction (NQMI) appear to have more jeopardized residual myocardium at high risk for subsequent angina, reinfarction, or malignant arrhythmias than patients with acute Q wave myocardial infarction (QMI). Unfortunately, conventional electrocardiographic (ECG) criteria have limited utility in recognizing NQMI. METHODS AND RESULTS The presen...

Let p′ and q′ be points in R. Write p′ ∼ q′ if p′ − q′ is a multiple of (1, . . . , 1). Two different points p and q in R/ ∼ uniquely determine a tropical line L(p, q) passing through them and stable under small perturbations. This line is a balanced unrooted semi–labeled tree on n leaves. It is also a metric graph. If some representatives p′ and q′ of p and q are the first and second columns o...

In this article, we focus our attention on (q,h)-Gauss?s binomial formula from which discover the additive property of (q; h)-exponential functions. We state (q,h)-analogue Gauss?s in terms proper polynomials T(q,h) own essential properties similar to ordinary polynomials. present (q,h)-Taylor series and analyze conditions for its convergence. introduce a new (q,h)-analytic exponential function...

In this letter, we discuss certain universal predictions of the large charge expansion in conformal field theories with $U(1)$ symmetry, mainly focusing on four-dimensional theories. We show that, while three dimensions quantum fluctuations are responsible for existence a theory-independent $Q^0$ term scaling dimension $\Delta_Q$ lightest operator fixed $Q\gg 1$, four same mechanism provides $Q...

We give three consequences of Schanuel’s Conjecture. The first is that P(e)Q(e) and P(π)Q(π) are transcendental, for any non-constant polynomials P(x),Q(x)∈Q¯[x]. second π≠αβ, algebraic numbers α β. third the case Gelfond’s conjecture (about transcendence a finite power tower) in which all elements equal.

The q-Dobinski formula may be interpreted as the average of powers of random variable X q with the q-Poisson distribution. Forty years ago Rota G. C. [1] proved the exponential generating function for Bell numbers B n to be of the form ∞ n=0 x n n! (B n) = exp(e x − 1) (1) using the linear functional L such that L(X n) = 1, n ≥ 0 (2) Then Bell numbers (see: formula (4) in [1]) are defined by L(...