Observed Probability Distrib. Observed Probability Distrib. Symmetric Error Curve I Symmetric Error Curve I Schrödinger equation Schrödinger equation Hemholtz Scalar Wave Equation Hemholtz Scalar Wave Equation Affine space Affine space Div Helmholtz Scalar Div Helmholtz Scalar Kelvin Functions Kelvin Functions Background density enhancement Background density enhancement Density Contrast Density Contrast Obs. Prob Dist [Plot -1 to 1] Obs. Prob Dist [Plot -1 to 1] Symmetric Error Curve II Symmetric Error Curve II Schodinger Harmonic Osc Schodinger Harmonic Osc Dirichlet-Neumann Field Dirichlet-Neumann Field Omega Frequency Omega Frequency Div Dirichlet-Neumann Div Dirichlet-Neumann Del coordinates Del coordinates Nonlinear perturbation Nonlinear perturbation Matter density redshift limit Matter density redshift limit Obs. Prob Dist [Plot 0 to 1] Obs. Prob Dist [Plot 0 to 1] Standard Error of the Mean Standard Error of the Mean Expansion perturbation  Expansion perturbation Distribution perturbations  Distribution perturbations Binomial theorem Binomial theorem {a^x, a^y, a^z} {a^x, a^y, a^z} {xij, yij, zij} {xij, yij, zij} {x^a, y^a, z^a} {x^a, y^a, z^a} Appleton–Hartree equation Appleton–Hartree equation Linear approximate [rho(r,t)] Linear approximate [rho(r,t)] Mean Error Mean Error Mean Square Error Mean Square Error Hamilton [H] Hamilton [H] Quaternion group Quaternion group Quaternion Quaternion Prob. Distrib. Background Rad. Prob. Distrib. Background Rad. Photon Redshift Differentials Photon Redshift Differentials Observation Range Chance [P] Observation Range Chance [P] Observation Range Chance [Pi] Observation Range Chance [Pi] Ground-state singular Hamilton Ground-state singular Hamilton Helmholtz Harmonic Osc Helmholtz Harmonic Osc Spiked Harmonic Osc Potential Spiked Harmonic Osc Potential Observation Range Chance [Gam] Observation Range Chance [Gam] Esitimate of the parameter mu Esitimate of the parameter mu Equation of Continuity Equation of Continuity Equation of Motion Equation of Motion Barnes-Khinchin G-function Barnes-Khinchin G-function Static Field Static Field Static E Field Static E Field Static B Field Static B Field Gravitation Potential Gravitation Potential Poisson Grav Potential Point Poisson Grav Potential Point Div Static Space Div Static Space Div Static E Field Div Static E Field Div Static B Field Div Static B Field Helmholtz Grav Potential Point Helmholtz Grav Potential Point Eulerian Lagrangian relation Eulerian Lagrangian relation Variance Variance Variance [high.accuracy] Variance [high.accuracy] Nabla A Nabla A Div Lambda Area Div Lambda Area Div Area Div Area Nabla B Nabla B Div B Div B Div B partial Div B partial Euclidean space Euclidean space Sphere Sphere Bilogarithmic law Bilogarithmic law Orthodox bilogarithmic law Orthodox bilogarithmic law Nabla E Nabla E Div E Div E Div E partial Div E partial Lagrangian coordinate spec Lagrangian coordinate spec Eulerian coordinate spec Eulerian coordinate spec Polylogarithm Polylogarithm Polylogarithm [alt] Polylogarithm [alt] Langurian 1st-order mean Langurian 1st-order mean Eulerian 1st-order mean Eulerian 1st-order mean core-shell capacitance [2D) core-shell capacitance [2D) core-shell Inductance henry/m core-shell Inductance henry/m Core-shell Conductance [G] Core-shell Conductance [G] Langurian stnd dev bijective Langurian stnd dev bijective Eulerian stnd dev bijective Eulerian stnd dev bijective Polylogarithm Polylogarithm PolyLog[n,z] PolyLog[n,z]  Omega Core-shell resistance Omega Core-shell resistance Impedance [hiHz K] core-shell Impedance [hiHz K] core-shell Hi-HZ air dielectric [K ohms] Hi-HZ air dielectric [K ohms] Langurian variance Langurian variance Eulerian variance Eulerian variance Lim mu/(sq rt(mu^2+1)) Lim mu/(sq rt(mu^2+1)) Lim u(u^2+1)^-1/2 Lim u(u^2+1)^-1/2 Attenuation [conductor nepers] Attenuation [conductor nepers] Attenuation [dielectric nepers Attenuation [dielectric nepers Attenuation [dielectric II] Attenuation [dielectric II] L'Hospital's Rule L'Hospital's Rule L'Hospital's Rule  L'Hospital's Rule Phase constant @lo-loss B Phase constant @lo-loss B Jordan's totient tuples funct. Jordan's totient tuples funct. Euler's totient function Euler's totient function Harmonic Number[-x] Harmonic Number[-x] PolyGamma[-x] PolyGamma[-x] Jordan's totient expanded Jordan's totient expanded Euler's cototient of n Euler's cototient of n 4-M spacetime [M4 structure] 4-M spacetime [M4 structure] 1/x (x^4-x^2-2) 1/x (x^4-x^2-2) (4.i)N^3 log(-M4)(elog(-M4)+1) (4.i)N^3 log(-M4)(elog(-M4)+1) 1/2 (x^4-x^2-2) 1/2 (x^4-x^2-2) sqrt(i) sqrt(i) sqrt(pi) sqrt(pi) (1/2)^y (1/2)^y (1)^y (1)^y 2^y 2^y Nabla mu(U) Nabla mu(U) Bernoulli(pi) Bernoulli(pi) Δ^-(1/2) - y Δ^-(1/2) - y Δ^-(1/2) + y Δ^-(1/2) + y (-1/2)^y (-1/2)^y (-1)^y (-1)^y (-2)^y (-2)^y Sparse grid [1D] Sparse grid [1D] X^i  X^i Δ^-(1/3) - y Δ^-(1/3) - y Δ^-(1/3) + y Δ^-(1/3) + y
c(x, y)  c(x, y) Likelyhood [B,X,Y] Likelyhood [B,X,Y] Δ^-(1/4) - y Δ^-(1/4) - y Δ^-(1/4) + y Δ^-(1/4) + y Polygamma function Polygamma function Δ^(1/2) - y Δ^(1/2) - y Δ^(1/2) + y Δ^(1/2) + y Φ[~1/4π (δ^2+λ^2)] Φ[~1/4π (δ^2+λ^2)] Φ[1/1(δ^2+λ^2)] Φ[1/1(δ^2+λ^2)] Φ[1/11 (δ^2+λ^2)] Φ[1/11 (δ^2+λ^2)] Φ[~4π(δ^2+λ^2)] Φ[~4π(δ^2+λ^2)] Haar Wavelet [(psi)(x)] Haar Wavelet [(psi)(x)] Expanded Haar Wavelet Expanded Haar Wavelet Δ^(1/3) - y Δ^(1/3) - y Δ^(1/3) + y Δ^(1/3) + y sin[πΔ^2+πλ^2] (Dogbowl) sin[πΔ^2+πλ^2] (Dogbowl) Jugghead Cap Jugghead Cap Sombrero [low] Sombrero [low] Sombrero [high] Sombrero [high] Hat Wavelet [(psi)(x)] Hat Wavelet [(psi)(x)] Orthogonal Wavelet [(psi)(x)] Orthogonal Wavelet [(psi)(x)] Δ^(1/4) - y Δ^(1/4) - y Δ^(1/4) + y Δ^(1/4) + y x^(1/y)/(csc(x)) x^(1/y)/(csc(x)) Arccsc Jugghead [ Arccsc Jugghead ["Pointy Cap"] Arcsec Jugghead [ Arcsec Jugghead ["Mesa"] Random Field Random Field Ricker wavelet Ricker wavelet Mexican hat (Marr wavelet) Mexican hat (Marr wavelet) (-1 + x)^n (-1 + x)^n (-1 + x)^n (Plot) (-1 + x)^n (Plot) Φ[2(δ^2+λ^2)] Φ[2(δ^2+λ^2)] Φ[1/2(δ^2+λ^2)] Φ[1/2(δ^2+λ^2)] Jacobi Zeta [Phi,x] Jacobi Zeta [Phi,x] - i e^(i π n) Ѳ(x) - i e^(i π n) Ѳ(x) Alpha [electron] coefficient Alpha [electron] coefficient Space Charge Boundary Space Charge Boundary Multiplication Factor Multiplication Factor Φ[~π(δ^2+λ^2)] Φ[~π(δ^2+λ^2)] Φ[~1/π(δ^2+λ^2)] Φ[~1/π(δ^2+λ^2)] Vf Vf Voltage noise power intensity Voltage noise power intensity P(quark hypercharge  (Y)) P(quark hypercharge (Y)) {P, Y} {P, Y} Negative Potential Energy Negative Potential Energy Φ[4(δ^2+λ^2)]  Φ[4(δ^2+λ^2)] Φ[1/4(δ^2+λ^2)] Φ[1/4(δ^2+λ^2)] -x/(Δ^2+λ^2) -x/(Δ^2+λ^2) (Δ^2+λ^2)^(-x) (Δ^2+λ^2)^(-x) Φ[1/5(δ^2+λ^2)]  Φ[1/5(δ^2+λ^2)] Φ[1/5(δ^2+λ^2)] Φ[1/5(δ^2+λ^2)] Gamma (|alpha|,1) Gamma (|alpha|,1)  Y Distribution [approx. norm] Y Distribution [approx. norm] Stochastic differential eq. Stochastic differential eq. {theta chi, theta chi} {theta chi, theta chi} -{theta chi, theta chi} -{theta chi, theta chi} Φ[6(δ^2+λ^2)] Φ[6(δ^2+λ^2)] Φ[1/6(δ^2+λ^2)] Φ[1/6(δ^2+λ^2)] pi (a-1)! x pi (a-1)! x  pi(x-1/3)! y pi(x-1/3)! y {{0, 0} {{0, 0} {theta chi, 0} {theta chi, 0} {0, theta chi} {0, theta chi} Φ[7(δ^2+λ^2)] Φ[7(δ^2+λ^2)] Φ[1/7(δ^2+λ^2)] Φ[1/7(δ^2+λ^2)] sigma(pi(y-1/3)! x) sigma(pi(y-1/3)! x) phi (pi(x-1/3)! y) phi (pi(x-1/3)! y) Φ[8(δ^2+λ^2)] Φ[8(δ^2+λ^2)] Φ[1/8(δ^2+λ^2)] Φ[1/8(δ^2+λ^2)] ((17/20)|[y^x]|)^x^(-1) ((17/20)|[y^x]|)^x^(-1) Polarization Polarization sqrt((x-y)^2) sqrt((x-y)^2) sqrt((x-y)^2)/phi(y) sqrt((x-y)^2)/phi(y) sqrt((x-y)^2) * phi(y) sqrt((x-y)^2) * phi(y) Φ[9(δ^2+λ^2)] Φ[9(δ^2+λ^2)] Φ[1/9(δ^2+λ^2)] Φ[1/9(δ^2+λ^2)] (1-(-1)^(.85) |(y^x))|^(1/x (1-(-1)^(.85) |(y^x))|^(1/x |[y^x]^x^(-1)| |[y^x]^x^(-1)| sqrt((x+y)^2) sqrt((x+y)^2) sqrt((x-y)^2)/phi(x) sqrt((x-y)^2)/phi(x) sqrt((x-y)^2) * phi(x) sqrt((x-y)^2) * phi(x) Φ[10(δ^2+λ^2)] Φ[10(δ^2+λ^2)] Φ[1/10 (δ^2+λ^2)] Φ[1/10 (δ^2+λ^2)] (x)^(y) e^(ixπ)Θ(x)  (x)^(y) e^(ixπ)Θ(x) -|(1/theta)e^ (x/theta)| -|(1/theta)e^ (x/theta)| Φ[11(δ^2+λ^2)] Φ[11(δ^2+λ^2)] Φ[1/11 (δ^2+λ^2)] Φ[1/11 (δ^2+λ^2)] (1/theta) e^(x/theta) (1/theta) e^(x/theta) (1/theta) e^(-x/theta) (1/theta) e^(-x/theta) y^(-1/2) and z^(-1/2) y^(-1/2) and z^(-1/2) y^(-1/1) and z^(-1/1) y^(-1/1) and z^(-1/1) y^(-2) and z^(-2) y^(-2) and z^(-2) Φ[12(δ^2+λ^2)] Φ[12(δ^2+λ^2)] Φ[1/12 (δ^2+λ^2)] Φ[1/12 (δ^2+λ^2)] cos(theta) + i sin(theta) cos(theta) + i sin(theta) (theta) e^(theta/x) (theta) e^(theta/x) Φ[13(δ^2+λ^2)] Φ[13(δ^2+λ^2)] Φ[1/13 (δ^2+λ^2)] Φ[1/13 (δ^2+λ^2)] Hq Hd Hq Hd Beta(x,y) Beta(x,y) (-1/2)^y and (-1/2)^z (-1/2)^y and (-1/2)^z (-1/1)^y and (-1/1)^z (-1/1)^y and (-1/1)^z (-2)^y and (-2)^z (-2)^y and (-2)^z Φ[14(δ^2+λ^2)] Φ[14(δ^2+λ^2)] Φ[1/14 (δ^2+λ^2)] Φ[1/14 (δ^2+λ^2)] Hermite ((Xi/2)Phi(Xi/2)) Hermite ((Xi/2)Phi(Xi/2)) (r)^a (r)^a Φ[15(δ^2+λ^2)] Φ[15(δ^2+λ^2)] Φ[1/15 (δ^2+λ^2)] Φ[1/15 (δ^2+λ^2)] Log[ϵ λ] ϵ λ  Log[ϵ λ] ϵ λ {y^x, x^y}, x=-1 {y^x, x^y}, x=-1 {y^x, x^y}, x=0  {y^x, x^y}, x=0 {y^x, x^y}, x=1 {y^x, x^y}, x=1 Φ[16(δ^2+λ^2)] Φ[16(δ^2+λ^2)] Φ[1/16 (δ^2+λ^2)] Φ[1/16 (δ^2+λ^2)] {y^x, x^y}, x=-1/2 {y^x, x^y}, x=-1/2 {y^x, x^y}, x=1/2 {y^x, x^y}, x=1/2 Φ[17(δ^2+λ^2)] Φ[17(δ^2+λ^2)] Φ[1/17 (δ^2+λ^2)]  Φ[1/17 (δ^2+λ^2)] 2nd Ord Homogeneous linear dif 2nd Ord Homogeneous linear dif Abs((Sqrt[1+mu^2](1+ν))) Abs((Sqrt[1+mu^2](1+ν))) Absolute psi tri phi Absolute psi tri phi psi tri phi psi tri phi (C^3 R)/3 (C^3 R)/3 (nu V^2)/2 (nu V^2)/2 (C^2 Lambda)/2  (C^2 Lambda)/2 Expectation value Expectation value Dead 0 Expectation [T=Tau] Dead 0 Expectation [T=Tau] Autocovariance infinite band Autocovariance infinite band Angular Frequency Oscillator Angular Frequency Oscillator Ω(t+gamma) (phi(t)) Ω(t+gamma) (phi(t)) -(Ω(t+gamma) (phi(t)) -(Ω(t+gamma) (phi(t)) Spectral density phase Spectral density phase Neg Spectral density phase Neg Spectral density phase 3rd finite field differnce 3rd finite field differnce Fundamental pulling equation Fundamental pulling equation Relative Bandwidth Relative Bandwidth Angular Freq. Osc. Expanded Angular Freq. Osc. Expanded Auto covariance Function Auto covariance Function Negative Auto covariance Negative Auto covariance Spectral density restriction Spectral density restriction Omega Bandwidth Omega Bandwidth Ω bandwidth assumption Ω bandwidth assumption

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