Mathematical Perspectives on Neural Networks
... a2vm / M Proof of Theorem 18.1 b Finite set Number of Pr [ ∃f ∈ F : d , ( Êz [ f ] , E [ f ] ) > a ] ≤ 2 \ F \ e - a2vm / M hypotheses Theorem 18.1 c Pr [ ∃f ∈ F : d , ( Êz [ f ] , E [ f ] ) > a ] Expected ≤ 4E [ N ( av / 8 ...
Circuits, Devices and Systems
... a2Vm a2Vm cos2 wt a2Vm i = a1Vm cos wt + ( 1 + cos 2wt ) a2Vm 2 2 + aVm cos wt + a2Vm cos 2wt ( 2-40 ) 2 Equation 2-40 indicates that the resulting current consists of a steady or dc component , a " fundamental " component of the same ...
Biomathematics: Modelling And Simulation
... a2Vm / ar2 were examined along the central fiber at the instant of local activation at site P in the center of the ... a2Vm / ay2 vanishes there and the transmembrane current im is proportional to a2Vm / ax2 ( see Eq . ( 90 ) ...
Gauge Field Theories: Spin One and Spin Two
... a2vm ) ( 1 + 2bvm – a2vm ) W 22 1 + ( b − a2 / b ) vm – a2vm 1 + 2bvm – a2vm is of the order 1. Now the strange relation ( 6.6.3 ) becomes WQm = -pr = - 뜩 Or ( 6.6.20 ) 3 where we have assumed the normal equation of state for the ...
Portugaliae Mathematica
... A2Vm A2Vm - 1≤0 , in which case A2Vm - 1 > 0 . In a similar way A2Vm - 1 > 0 implies AVm - 1 < 0 , which implies Vm - 1 > 0. So , we find the result holds for k = m 1. Repeating this process for each 1 ≤ k < m - 1 proves the lemma ...
Generalizing the PAC Model for Neural Net and Other Learning Applications
... a2vm / 2 ≥ Wln ( 2eNm / W ) + ln ( 4/6 ) . a2vm / 4 ≥ Wln ( 2eNm / W ) and a2vm / 4 ≥ ln ( 4/8 ) . The latter inequality is assured by the last term in the formula for m . For the former inequality , let us take m equal to the first ...
Introduction to Electronic Systems, Circuits, and Devices
... a2Vm cos2 wit = a2Vm 2 ( 1 + cos 201t ) ( 3.10 ) From the description of ( 3.9 ) , we can also easily substantiate the frequency - translation function described in the preceding chapter . Let the input be the sum of two sinusoids ...
Circuits, Devices and Systems
... a2Vm 2sin2 wmt + a2 Vo2 sin2 wct + 2a2VmVc sin wmt sin wet Substituting for sin2 wt and sin wmt sin wet and rearranging terms , i = ao + a2Vm 2 a2Vm 2 2 2 + a2V2 2 C cos 2wmt + a1Vm sin wmt + a1Vc sin wet a2Vc cos 2wct 2 C a2VmVc cos ...
Physical Techniques in Biological Research: Electrophysiological methods, pts. A-B
... a2Vm / dt2 . = For the simple cable model it follows that the membrane current is re- lated to the membrane potential by at any point x . im = 6. Shape of Action Potential Foot a2Vm / at2 v2 ( r1 + r2 ) For the case of constant velocity ...
Univalent Functions and Orthonormal Systems
... A2vm + 12-2vm z - m + 1 a1 8 8 m - 1 A2vm + 1Z - 2vm v = 1 8 = 2 + 2 Davm - 12-2vm + 1 + 2D ( a + 1 ) m - 12- v = 1 b v = 0 b 2- ( 2v + 1 ) +1 . Thus F ( z ) ∈Σ , and it has a Laurent expansion of the desired type . Since series with ...
Physical Techniques in Biological Research
... a2Vm / dt2 . For the simple cable model it follows that the membrane current is re- lated to the membrane potential by im = a2Vm / at2 v2 ( r1 + r2 ) at any point x . 6. Shape of Action Potential Foot For the case of constant velocity ...
Annales de l'Institut Fourier
... A2Vm , v + 12 € . We get that there is a constant C3 such that if we set -2 Wm , v ( t ) = rm2 ( t ) , where rm is the unique solution of 2ε ( 95 ) t + r 1 -r 2 A2Vm , v ( s ) + A2 € ds = 1 , Λε t - r we have ( 96 ) 2 2 || Wm , vu ...
Optical Radiation Interaction with Matter
... [ a , ( 2 - vm ) -avn ] mn [ a f ' ( n ) + a f ' ( m ) ] 2 = m KT 1 3 2 3 kT { kT - nf ' ( n ) [ ( 2 - vn ) -xvm ] ... a2vm ] } ( 22 ) r accounting ( 18 ) and ( 17 ) . For 44 / SPIE Vol . 1440 Optical Radiation Interaction with Matter ...
RF Power Amplifiers
... a2Vm a1V + 3V2 ( 1+ ) 4 4 m ( 1.80 ) ( 1.81 ) For a1 3a3V / 4 , m HD2 ≈ a2Vm 2a1 ( 1.82 ) The second harmonic distortion HD2 is proportional to the input voltage amplitude Vm . The distortion by the third harmonic is given by HD3 V3 Vi ...
Advances in Ceramic-matrix Composites
... a2vm 62-2 P σρ = 2D The corresponding average interfacial frictional stress is 1 = -μίσο + σρ ) Adopting the average interfacial frictional stress , the sliding zone length , h1 , can be obtained from Eq . ( 1 ) , such that a α ( σα - σ ) ...
Transistor Circuit Analysis and Application
... a2Vm sin2 wt + a3Vm sin3 wt + and the output current of Q2 is given by : a1 Vm sin ( ωt + π ) + a2Vm sin2 ( ωt + π ) io , = Ica , + a1V ... + a3Vm sin3 ( ωt + π ) ... By the use of trigonometric identities and some algebraic ...
The Second West Coast Conference on Combinatorics, Graph Theory, and Computing, University of Oregon, June 20-22, 1983
... A2Vm ( p ) = V ( m , p + 2 ) + V ( m , p ) – 2V ( m , p + 1 ) , A2V ( m , p ) = V ( m + 2 , p ) + V ( m , p + 2 ) - 2V ( m + 1 , p + 1 ) , and define A2Em ( p ) , A2E , ( m ) , and A2E ( m , p ) accordingly . Theorem 1. For any non ...
Electrocardiology '81
... a2Vm az2 1 dZ r Sc which identifies an equivalent axial dipole density of -Vm / ƏZ and an equivalent single source density of a2Vm / Z2 . For the magnetic field H = 1 4π ii / az adS ( 17 ) ( 18 ) ( 19 ) where ad is a unit vector in ...
CRC Handbook of Engineering in Medicine and Biology
... a2vm / az2 - 1.0 DOUBLE LAYER SOURCE DISTRIBUTION SINGLE LAYER SOURCE DISTRIBUTION FIGURE 11. Plot of normalized transmembrane potential Vm ( z ) of the crayfish lateral giant axon as approximated by the triple Gaussian functions given ...
Congressus Numerantium
... A2Vm ( p ) = V ( m , p + 2 ) + V ( m , p ) – 2V ( m , p + 1 ) , A2V ( m , p ) = V ( m + 2 , p ) + V ( m , p + 2 ) - 2V ( m + 1 , p + 1 ) , and define A2Em ( p ) , A2E , ( m ) , and A2E ( m , p ) accordingly . Theorem 1. For any non ...