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[citation needed] The heart rate formula most often used for the Bruce is the Karvonen formula (below). A more accurate formula, offered in a study published in the journal, Medicine & Science in Sports & Exercise, is 206.9 - (0.67 x age) which can also be used to more accurately determine VO2 Max, but may produce significantly different results.
While this formula is commonly used (and easy to remember and calculate), research has consistently found that it is subject to bias, particularly in older adults. [46] Compared to the age-specific average HR max, the Haskell and Fox formula overestimates HR max in young adults, agrees with it at age 40, and underestimates HR max in older adults.
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Shoelace scheme for determining the area of a polygon with point coordinates (,),..., (,). The shoelace formula, also known as Gauss's area formula and the surveyor's formula, [1] is a mathematical algorithm to determine the area of a simple polygon whose vertices are described by their Cartesian coordinates in the plane. [2]
Ackermann's formula provides a direct way to calculate the necessary adjustments—specifically, the feedback gains—needed to move the system's poles to the target locations. This method, developed by Jürgen Ackermann , [ 2 ] is particularly useful for systems that don't change over time ( time-invariant systems ), allowing engineers to ...
The Chudnovsky algorithm is a fast method for calculating the digits of π, based on Ramanujan's π formulae.Published by the Chudnovsky brothers in 1988, [1] it was used to calculate π to a billion decimal places.
A major use of the integrated equation is to estimate a new equilibrium constant at a new absolute temperature assuming a constant standard enthalpy change over the temperature range. To obtain the integrated equation, it is convenient to first rewrite the Van 't Hoff equation as [2]
Boltzmann's grave in the Zentralfriedhof, Vienna, with bust and entropy formula. In statistical mechanics, the entropy S of an isolated system at thermodynamic equilibrium is defined as the natural logarithm of W , the number of distinct microscopic states available to the system given the macroscopic constraints (such as a fixed total energy E ...