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If the then-traditional manner of teaching mathematics could be changed to emphasize logical thinking (rather than routinized application of formulas), it was argued that perhaps mathematical training could improve reasoning ability in general.
Even elliptical expressions such as ita missa est have within them the capacity to allow further application of formulas such as cantata, dicta, etc.
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And application of formula 3 upon the original data generated the covariance of the two variables as: (6).
It should be noted that the direct application of formula (3) is limited by the vanishing of the magnetic moment vector in the BP center, making it necessary to use the microscopic Landau - Lifshitz Equation.
The PIPs of the regressors can then be converted to an uncertainty assessment of individual influences on the dependent variable (the input variable to an energy model) by application of formula (15).
Application of simple formulas such as the Levin formula, however, may yield considerable overestimation of potential population impact of specific interventions.
Surveys of different types of applications of formula (6) are given for n=2 in (Richter 2015b) and for arbitrary n in (Richter 2012, 2014).
The application of these formulas with ϕ = 45° to the difference of squares, x2 − y2 = a2, leads to the equation x′y′ = c (where c is a constant that depends on the value of a).
Finally a case study is presented which illustrates the application of these formulas.
Such conceptual reasoning is more challenging and beneficial than mechanical application of mathematical formulas (Hestenes et al. 1992).
In this section, we present the application of the formulas constructed in the previous sections through some additional numerical simulation.
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