Epstein Secrets

hon 192, 202 London Mathematical Society 15, 238 London School of Economics 301 London Science Museum 16 long multiplication 240 Lorenz Attractor 173 Lorenz, Edward 170, 172 Lotus Corporation 237 Lucas argument 205 Lucas, JR xi, 205 Lucas-Penrose argument 205 M Madam Tussaud 75 magnetic fields 105 Mag

a 35 monkey 129 moon shot story 144 monkeys and typewriters 254 Monty Python 93 Moon Base 348 Moore, Gordon 18 Moore's Law 18 Morgan, Edwin 138, 142 Morse code 336 motor cortex 31 Mozart 246, 298 MRI scan 69, 104 multiplication long 240 Munduruku tribe 181 Murphy’s Law 226 muscle memory 90 muscles 117,

eer, George Birkoff (1922), was computing the output of a very reduced subset of Saltzman’s differential equations for predicting the weather (1962). Lorenz found that numerically integrated trajectories manifested unpredictable times and directions of motion between the two spiral orbits of what has come

mical system, such as nerve membrane equations as above, or in the aggregate, the middle layer of a completely connected neural network, can encode, Morse code-like, messages (Paulus et al, 1989). Bifurcations in Biologically Relevant Dynamical Systems Bifurcations, “splitting into (two) branches,” ar

in dimension greater than two (for orbits to be more than a fixed point or limit cycle, able to snake around without necessarily intersecting ), the Lorenz attractor has dimension just a little over two, our difficulties with establishing the “true” physiological dimension of real biological observables

ence not distance preserving ) representation of a difficult to characterize system of “geodesics on surfaces of negative curvature” (Hadamard, 1898; Morse, 1917; Morse and Hedlund, 1938). Geodesics here are the shortest lines in this curved, non-Euclidean space in which nearby lines spread apart and far