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Carl Friedrich Gauss was the first to derive the Gauss–Legendre quadrature rule, doing so by a calculation with continued fractions in 1814. [4] He calculated the nodes and weights to 16 digits up to order n=7 by hand.
The fraction bar may be horizontal (as in 1 / 3 ), oblique (as in 2/5), or diagonal (as in 4 ⁄ 9). [4] These marks are respectively known as the horizontal bar; the virgule, slash , or stroke ; and the fraction bar, solidus, [5] or fraction slash.
For the folded general continued fractions of both expressions, the rate convergence μ = (3 − √ 8) 2 = 17 − √ 288 ≈ 0.02943725, hence 1 / μ = (3 + √ 8) 2 = 17 + √ 288 ≈ 33.97056, whose common logarithm is 1.531... ≈ 26 / 17 > 3 / 2 , thus adding at least three digits per two terms. This is because the ...
The sum of the reciprocals of the pentatope numbers is 4 / 3 . Sylvester's sequence is an integer sequence in which each member of the sequence is the product of the previous members, plus one. The first few terms of the sequence are 2, 3, 7, 43, 1807 . The sum of the reciprocals of the numbers in Sylvester's sequence is 1.
The Shunt equation (also known as the Berggren equation) quantifies the extent to which venous blood bypasses oxygenation in the capillaries of the lung.. “Shunt” and “dead space“ are terms used to describe conditions where either blood flow or ventilation do not interact with each other in the lung, as they should for efficient gas exchange to take place.
This is defined as a left ventricular ejection fraction (LVEF) of 40% or less. About half of heart failure patients have a reduced ejection fraction. [2] Other types of heart failure are heart failure with mildly reduced ejection fraction (LVEF between 40% and 50%) and heart failure with preserved ejection fraction (LVEF 50% or higher). [1] [3]
In their full-length both PDE3A and PDE3B contain two N-terminal hydrophobic membrane association regions, NHR1 and NHR2 (figure 2). The difference of the PDE3A1-3 variants lies in whether they include: both NHR1 and NHR2; only NHR2; neither NHR1 nor the NHR2. The last can be predicted to be exclusively on soluble/cytosolic form. [4] [5]