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Code: Alles auswählen

left (
matrix{2(h_0+h_1) # h_1 # 0 # 0 # dotsaxis # 0 ##
		h_1 # 2 (h_1+h_2) # h_2 # 0 # dotsaxis # 0 ##
		0 # h_2 # 2(h_2+h_3) # h_3 # dotsaxis # 0 ##
		dotsvert # dotsvert # dotsvert # dotsvert # dotsdown # dotsvert ##
		0 # dotsaxis # dotsaxis # dotsaxis # h_{n-1} # 2(h_{n-1}+ h_n)}
right ) cdot left (
stack{y_1^{''} # y_2^{''} # y_3^{''} # dotsvert # y_n^{''}}
right ) = left (
stack {6({y_2-y_1}over{h_1}-{y_1-y_0}over{h_0}) # 6({y_3-y_2}over{h_2}-{y_2-y_1}over{h_1}) # 6({y_4-y_3}over{h_3}-{y_3-y_2}over{h_2}) # dotsvert # 6({y_{n+1}-y_n}over{h_n}-{y_n-y_{n-1}}over{h_{n-1}})}
right )

Code: Alles auswählen

    left (
    matrix{2(h_0+h_1) # h_1 # 0 # 0 # dotsaxis # 0 ##
          {} # {} # {}  # {} # {} # {} ##
          h_1 # 2 (h_1+h_2) # h_2 # 0 # dotsaxis # 0 ##
          {} # {} # {}  # {} # {} # {} ##
          0 # h_2 # 2(h_2+h_3) # h_3 # dotsaxis # 0 ##
          {} # {} # {}  # {} # {} # {} ##
          dotsvert # dotsvert # dotsvert # dotsvert # dotsdown # dotsvert ##
          {} # {} # {}  # {} # {} # {} ##
          0 # dotsaxis # dotsaxis # dotsaxis # h_{n-1} # 2(h_{n-1}+ h_n)}
    right )   cdot  left (
    stack{y_1^{''} # {} # y_2^{''} # {} # y_3^{''}  # {} # dotsvert  # {} # y_n^{''}}
    right ) = left (
    stack {6({y_2-y_1}over{h_1}-{y_1-y_0}over{h_0}) # 6({y_3-y_2}over{h_2}-{y_2-y_1}over{h_1}) # 6({y_4-y_3}over{h_3}-{y_3-y_2}over{h_2}) # dotsvert # 6({y_{n+1}-y_n}over{h_n}-{y_n-y_{n-1}}over{h_{n-1}})}
    right )