are like near beer. Formally equivalent but without the rush and the delicious
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the soberly serious social engagement and
hands-in-the-air praying and hands-on-the-head healings of Wednesday
must be attending church or temple to negotiate a better
without subjective evidence of Holy Spirit Energy
Dynamical Systems and Bifurcations of Vector Fields. John
Biochemistry and Behavior. 2:249-255. 1974.
the Islamic pilgrims wander round and round
all humankind is perceived as one family.
the mill wheel and the millstone. As Rumi said
opposite directions. The Hopf bifurcating system inevitably has both.
with the spiraling out to the invariant circle being a two dimensional
the fixed point disappears to be replaced by the action spiraling out to
ρ > 0. The mirror image of clock arrows is transformed from 8:00
turn in opposite directions in these mirror image moving clock hand
the angle of vectorial deviation of the arrow pair from
the angle of vectorial turning from the 0a-axis.
is the size or amplitude-like modulus of the complex number
then a = c and b = d and their sum is written (a + c) + (b + d) i.
z = a + bi. Since real parts and imaginary parts are like apples and pears