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English: Gray, blue, red, green, light green, black graph papers with 1 cm–0.5 cm–1 mm grids (page size: A4) in printable PDF format. Date 25 July 2013, 18:04:17
The graph of the absolute value function for real numbers Composition of absolute value with a cubic function in different orders. The real absolute value function is continuous everywhere. It is differentiable everywhere except for x = 0. It is monotonically decreasing on the interval (−∞, 0] and monotonically increasing on the interval [0 ...
The value of is the number whose binary digits form the plot. The following plot demonstrates the addition of different k {\displaystyle k} values. In the fourth subplot, the k-value of "AFGP" and "Aesthetic Function Graph" is added to get the resultant graph, where both texts can be seen with some distortion due to the effects of binary addition.
Figure 9 is the phase plot. Using the value of f 0 dB = 1 kHz found above from the magnitude plot of Figure 8, the open-loop phase at f 0 dB is −135°, which is a phase margin of 45° above −180°. Using Figure 9, for a phase of −180° the value of f 180 = 3.332 kHz (the same result as found earlier, of course [note 3]).
Graph of the absolute value function, = | | Piecewise functions can be defined using the common functional notation, where the body of the function is an array of functions and associated subdomains. A semicolon or comma may follow the subfunction or subdomain columns. [4]
# set terminal svg enhanced size 875 1250 fname "Times" fsize 25 set terminal postscript enhanced portrait dashed lw 1 "Helvetica" 14 set output "bode.ps" # ugly part of something G(w,n) = 0 * w * n + 100000 # 1 / (sqrt(1 + w**(2*n))) dB(x) = 0 + x + 100000 # 20 * log10(abs(x)) P(w) = w * 0 + 200 # -atan(w)*180/pi # Gridlines set grid # Set x axis to logarithmic scale set logscale x 10 set ...
This template may be used to enclose text between two vertical bars (U+007C | VERTICAL LINE), such as to denote the absolute value. It adds padding (of width 0.1 em) on each side inside the bars. It adds padding (of width 0.1 em) on each side inside the bars.
The standard absolute value on the integers. The standard absolute value on the complex numbers.; The p-adic absolute value on the rational numbers.; If R is the field of rational functions over a field F and () is a fixed irreducible polynomial over F, then the following defines an absolute value on R: for () in R define | | to be , where () = () and ((), ()) = = ((), ()).