Lagrangian Interpolation: Linear Interpolation: Example

[HalcyonMoments]

@artemis4000

The large pi symbol means the product of a bunch of numbers. The "n" at the top tells us how many things we need to multiply together. For your first question, the j=0 only indicates the starting point. We take whatever is next to the pi when j=0, then multiply it by whatever is next to the pi with j=1, then with j=2, and on and on until j=n (In this case, j=1). But, we have to skip the term where j=i. For L_0 i=0, so we only take j=1. For L_1, i=1, so we skip j=1 and only use j=0.

[artemis4000]

what is the criteria for setting up the n in the top of the big PI?

[artemis4000]

at 06:00 you say that j cannot equal i, but yet i=0 and j=0? howcome is that?

[dukedevon1]

@artemis4000 the j != i under the pi sign is not to be read as "j must never be i" but as "skip the part where j is equal to i", see the explanation in the theory video.

[19axela]

Professor - THANK YOU SO MUCH!!!!

[piratenu1]

god Thanks a lot!!!!!!!!

[sangboi]

Thank you!