Index of /math/Variationsrechnung/overhead/Delta-Distribution/image/equation

      Name                    Last modified      Size  Description
Parent Directory - u(x)=∫_{-∞}^x_÷..> 2010-03-17 15:21 2.1K u(x)=∫_{-∞}^x_÷..> 2010-03-17 15:21 1.9K H(x)=lim_{ε→0}_âˆ..> 2010-03-17 15:21 1.9K lim_{ε→0}_∫_{ξ..> 2010-03-17 15:21 1.8K ÷d{dξ}_(e^{÷{-ξ}..> 2010-03-17 15:21 1.8K ∫_{-∞}^∞_÷1{{..> 2010-03-17 15:21 1.8K ∫_{-∞}^∞_φ(x)..> 2010-03-17 15:21 1.7K u(x)=∫_{-∞}^x_÷..> 2010-03-17 15:21 1.6K =∫_{-∞}^∞_÷1{..> 2010-03-17 15:21 1.5K U(x-ξ)={({cl}_÷12â..> 2010-03-17 15:21 1.5K u(x)=(U*f)(x)=∫_{-..> 2010-03-17 15:21 1.5K ∫_{-∞}^∞_δ_ε..> 2010-03-17 15:21 1.4K ÷d{dξ}_(e^{÷{-ξ}..> 2010-03-17 15:21 1.4K ∫_{-a}^a_U'(x)_dx-..> 2010-03-17 15:21 1.4K ∫_{-∞}^∞_δ(x)..> 2010-03-17 15:21 1.3K ∫_{-∞}^∞_δ(x)..> 2010-03-17 15:21 1.3K ∫_{-a}^a_LU(x)_dx=..> 2010-03-17 15:21 1.3K ∫_a^b_δ(x)_dx={({..> 2010-03-17 15:21 1.3K δ_ε(x)=÷1{{√π}..> 2010-03-17 15:21 1.3K I_2(x)=÷12â‹…e^{÷{..> 2010-03-17 15:21 1.3K Lu(x):=u^{(k)}(x)+α..> 2010-03-17 15:21 1.2K x_0=0:_∫_{-∞}^âˆ..> 2010-03-17 15:21 1.2K x=0,_ε→0:_lim_{ε..> 2010-03-17 15:21 1.2K ∫_{-a}^a_(U'(x)-λ..> 2010-03-17 15:21 1.2K =∫_{-∞}^∞_÷1{..> 2010-03-17 15:21 1.2K δ_ε(x)=÷1{{√ε}..> 2010-03-17 15:21 1.1K I_2(x):=∫_{ξ=-∞..> 2010-03-17 15:21 1.1K ∫_{-∞}^∞_φ(x)..> 2010-03-17 15:21 1.1K U(x):={({cl}__A_+â‹…..> 2010-03-17 15:21 1.1K I_4(x):=∫_{ξ=x}^â..> 2010-03-17 15:21 1.1K ÷d{dξ}_(e^{÷{-ξ}..> 2010-03-17 15:21 1.1K I_3(x)=÷12â‹…xâ‹…âˆ..> 2010-03-17 15:21 1.1K ε>0:_H_ε(x):=∫_{..> 2010-03-17 15:21 1.1K I_3(x):=∫_{ξ=x}^â..> 2010-03-17 15:21 1.1K I_2(x)=÷12â‹…e^{÷{..> 2010-03-17 15:21 1.1K I_1(x):=∫_{ξ=-∞..> 2010-03-17 15:21 1.1K I_4(x)=÷12â‹…e^{÷{..> 2010-03-17 15:21 1.1K I_1(x)=÷12â‹…xâ‹…âˆ..> 2010-03-17 15:21 1.1K ∫_ξ⋅e^{÷{-ξ}2..> 2010-03-17 15:21 1.0K I_1(x)=÷12â‹…xâ‹…e^..> 2010-03-17 15:21 1.0K I_3(x)=÷12â‹…xâ‹…e^..> 2010-03-17 15:21 1.0K U'(x)={({cl}__A_+,_&..> 2010-03-17 15:21 1.0K u(x)=-2â‹…xâ‹…e^{-÷..> 2010-03-17 15:21 1.0K u(x)=-2â‹…xâ‹…e^{-÷..> 2010-03-17 15:21 1.0K lim_{a→0}_∫_{-a}..> 2010-03-17 15:21 960 u(x)=I_1(x)-I_2(x)-I..> 2010-03-17 15:21 952 U(x)={({cl}__÷12â‹…..> 2010-03-17 15:21 944 ∫_{-a}^a_U'(x)_dx=..> 2010-03-17 15:21 908 ∫_{-a}^a_U''(x)_dx..> 2010-03-17 15:21 890 x≠0,_ε→0:_lim_{..> 2010-03-17 15:21 864 lim_{a→0}_U(a)-U(-..> 2010-03-17 15:21 806 u(x)=-2â‹…I_3(x)+2â‹..> 2010-03-17 15:21 793 δ_ε(x)=÷1{√{εâ..> 2010-03-17 15:21 789 ∫_{-a}^a_U(x)_dx=0 2010-03-17 15:21 787 U'(a)-U'(-a)=1∀a 2010-03-17 15:21 783 ∫_{-∞}^∞_δ(x)..> 2010-03-17 15:21 782 I_3(x)=-xâ‹…e^{-÷ξ..> 2010-03-17 15:21 764 I_4(x)=(x+2)â‹…e^{÷..> 2010-03-17 15:21 761 I_1(x)=-xâ‹…e^{-÷ξ..> 2010-03-17 15:21 726 δ_ε(x):=÷1{√{ε..> 2010-03-17 15:21 703 lim_{a→0}_A_+-A_-=..> 2010-03-17 15:21 688 LU(x)=0_∀x≠0 2010-03-17 15:21 669 lim_{a→0}_U(x)|_{-..> 2010-03-17 15:21 664 U(x)≠u_h(h) 2010-03-17 15:21 646 I_2(x)=-I_4(x) 2010-03-17 15:21 632 u_h(x)=aâ‹…x+b 2010-03-17 15:21 625 Lu_h(x)=0∀x 2010-03-17 15:21 625 I_1(x)=-I_3(x) 2010-03-17 15:21 623 U(x)=÷12â‹…|x| 2010-03-17 15:21 604 LU(x)=δ(x) 2010-03-17 15:21 599 I_3(x)=xâ‹…e^{-÷x2} 2010-03-17 15:21 564 dx=dyâ‹…{√ε} 2010-03-17 15:21 555 U(0_+)=U(0_-) 2010-03-17 15:21 553 u''(x):=e^{-÷x2} 2010-03-17 15:21 549 u(x)=4â‹…e^{÷{-x}2} 2010-03-17 15:21 545 u''(x)=e^{÷{-x}2} 2010-03-17 15:21 529 dy=÷{dx}{√ε} 2010-03-17 15:21 510 B_+=B_-=0 2010-03-17 15:21 456 y:=÷x{√ε} 2010-03-17 15:21 443 C_+-C_-=1 2010-03-17 15:21 400 α_i∈R 2010-03-17 15:21 385 A_+:=÷12 2010-03-17 15:21 377 LU=δ 2010-03-17 15:21 371 A_-=-÷12 2010-03-17 15:21 357 Lu=f 2010-03-17 15:21 349 lim_{a→0} 2010-03-17 15:21 314 ε>0 2010-03-17 15:21 279 ∫_{-a}^a 2010-03-17 15:21 278 ε→0 2010-03-17 15:21 272 e^{-÷{-∞}2} 2010-03-17 15:21 267