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Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: The curl theorem of a triangular integral

Figure 1

Sum of triangularly divided areas.

The respective triangular area ΔS k , which is surrounded by three vertices of O(0, 0), Pk-1(xk-1, yk-1) and P k (x k , y k ), is introduced as Δ S k = 1 2 x k y k - 1 - y k x k - 1 ( k = 1 , 2 , . . . , n ) .

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