The "complex exponential" for a is easy- a is a real number so its argument is 0 or π and its distance from the origin is |a|- its complex exponential is aei0 if a is positive and −aeiπ if a is negative. And
Rhythmic activity is ubiquitous in biological systems from the cellular to organism level. Reconstructing the instantaneous phase is the first step in analyzing the essential mechanism leading to a synchronization state from the observed signals. A popul
Altogether, phase transitions in polymers are even more complex than in metals and ceramics, and a number of new principles are beginning to emerge. One thing is clear: in the polymer literature, one does not often see phase (equilibrium) diagrams, and I know of no collection of polymer ...
the group delayτand bandwidth δνof phase remain unchanged at 0.5 ps and 0.006 THz (0.048 nm), respectively, whereas the phase period decreases from 0.2 to 0.015 THz (1.61 to
Complex Number Support:Yes Algorithms angletakes a complex numberz=x+iyand uses theatan2function to compute the angle between the positivex-axis and a ray from the origin to the point (x,y) in thexy-plane. Extended Capabilities expand all ...
In general, there are several ways to extract secondary metabolites from a culture. One way is to complex the product with a nonmetabolite—a molecule that will not be used by the cell during metabolism. Such a molecule could be used to bind the secondary metabolite, allowing us to pull th...
An extended version of the Remez exchange method is implemented for the complex case. This exchange method obtains the optimal filter when the equiripple nature of the filter is restricted to haven+2 extrema. When the filter does not converge, the algorithm switches to an ascent-descent algorithm...
Annoying VPA Bug that Generates Wrong Data Phase or Wrong Imaginary Value in a Complex NumberI see what you mean. I will write an observation about this a little later this evening.Over the years I have noticed that for cubics, that if there is at least...
install.packages("viscomplexr") And the development version fromGitHubwith: #install.packages("devtools")devtools::install_github("PeterBiber/viscomplexr") Example Let’s plot a phase portrait of the functionf(z)=sin(z^3/(z-1i+2)). This function is portrayed in the banner above, and ...
to be overly ambitious about what you and your team can do. Resist these temptations. All but the simplest business problems are complex in ways that prevent people from easily seeing all angles and implications. You may also want to consider aiming for smaller goals with the assumption that ...