Equation Index
Authors
Affiliations
ρ=1/σ μ=μ0(1+κ) F[m]=d dj=Fj[m] F[αf+βg]=αF[f]+βF[g] dj=∫abgj(x)m(x)dx y=m⊗w y(tj)=∫−∞∞m(τ)w(tj−τ)dτ B(rj)=4πμ0∫∣rj−r′∣2J(r′)×r^ dj(1)=∫abgj(x)m1(x)dx dj(2)=∫abgj(x)m2(x)dx dj=∫abgj(x)[αdj=αm1(x)+βm2(x)]dj(1)+βdj(2) dj=∫abgj(x)m2(x)dx ∇⋅σ∇V=−Iδ(r−r′) Vrms2(tj)=tj1∫0tmaxvint2(u)H(tj−u)du Vrms2(t)=t1∫0tmaxvint2(u)H(t−u)du vint=Vrms(t)(1+Vrms(t)2tVrms′(t))21 Vrms(t)=v0+asin(2πft) Vrms′(t)=2πafcos(2πft) dobs=dtrue+δd F−1[dtrue]=mc F−1[dobs]=F−1[dtrue+δd]=mc+δm δvint∝v0fta P(m∣dobs)∝P(dobs∣m)P(m) Minimize ϕ=ϕd+βϕmsubject to ml<m<mu, gj(x)=epjxcos(2πqjx) djdj=∫0x1gj(x)m1dx+∫x1x2gj(x)m2dx+…=i=1∑M(∫xk−1xkgj(x)dx)mi=gjm d=Gm=⎣⎡d1⋮dN⎦⎤ Gjk=∫xk−1xkgj(x)dx dobs=d+n ϵj=%∣dj∣+νj ϕd=j=1∑N(ϵjdj−djobs)2 ηj=ϵjdj−djobs E[χ2]=N Var[χ2]=2N ϕm=∫(m−mref)2dx ϕm=∫(dxd(m−mref))2dx ϕm=αs∫(m−mref)2dx+αx∫(dxd(m−mref))2dx ϕm=∥m−mref∥2=i=1∑M(mi−miref)2 ϕm=∥dxdm∥2=i=1∑M−1(mi+1−mi)2 ϕ(m)=ϕd(m)+βϕm(m) ϕ=T+βF gj(x)=epjxcos(2πqjx)Δx G=⎣⎡g1⋮gN⎦⎤