The index is the power raised to any integer or variable to multiply them a number of times equal to the value of the index. Learn its meaning, rules, formula, how to use it with examples.
BasicNumeralSimpleCalculationsWithIndexForm:Examples:i.Findthebasicnumeral23×32=8×9=72ii.Write16inindexformusingbase2.16=2×8=2×2×4=2×2×2×2=24iii.Evaluatethefollowing:27×84×53=useacalculator!=2048000Differentcalculatorshavedifferentbuttonsforindices,makesureyouknowhowtouseyours!Algebraand...
Except for mortgages that have an assigned rank among each other, irrespective of the time of registration, registered rights obtain priority over other rights in accordance with the “rule of seniority”, which means, in principle, “first in time, first in right”. Such rule, however, can ...
A light ray refracts whenever it travels at an angle into a medium of different refractive indices. This change in speed results in a change in direction. As an example, consider air travelling into water. The speed of light decreases as it continues to travel at a different angle. ...
In this section we obtain travelling wave solutions of (1.5) by employing Lie symmetry analysis together with the (G'/G)−expansion method. 2.1 Lie point symmetries and reduction of (1.5) We begin by determining the Lie point symmetries of (1.5). The vector field (2.6)X=ξ1(t,u,x)...
If \( \displaystyle k^{*}(\cdot ) \) minimizes the functional \( \displaystyle J\left( k(\cdot )\right) \) in the previous meaning, then \( \displaystyle k^{*}(\cdot ) \) is a solution of the non-homogeneous Euler–Lagrange PDEs (with summation over repeated indices) $$\begin...
The explicit details for the extension of Chern–Simons theory (1) are provided in Sect. 3. 2.1 Derived theories Consider a set of fields on d-dimensional Minkowski space with local coordinates . The multi-index J accommodates all the tensor, spinor, isotopic indices labeling the field ...
As the years pass, examples and situations where Zipf's law has been invoked has been steadily growing. For instance, Zipf's law has been invoked in city populations, the statistics of webpage visits and other internet traffic data, company sizes and other economic data, science citations ...
Symmetry properties of a nonlinear two-dimensional space-fractional diffusion equation with the Riesz potential of the order α∈ ( 0 , 1 ) are studied. Lie point symmetry group classification of this equation is performed with respect to diffus
Finally, one outlier was created by multiplying the value of yk by a factor distributed uniformly between 1.5 and 2.5, with k chosen uniformly among the indices 8, 9 and 10. We next estimated β by means of GLS and compared the estimates with those obtained by OLS, maximum a posteriori ...