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My teacher wrote K(A) ~ 1, (called it almost equal to 1) i need the opposite, such as K(A) is far from 1. I wrote K(A) << 1 >> K(A), but it definitely looks redundant.

Alternatively I could write 1<<K(A)>>1 (is this better math notation-wise?) but that still looks redundant.

Do we have a symbol that denotes far from (and can be either larger or smaller than) 1?

J. W. Tanner
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user53617
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  • What is $K(A)$ ?... – Jean Marie Dec 06 '22 at 13:35
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    $K(A)\not\approx 1$ or $K(A)\not\sim 1$, maybe? – kimchi lover Dec 06 '22 at 14:23
  • @Jean Marie its just a symbol, but if you want to know it is the called the condition number for the matrix A, and tells how numerical stabile/unstabile a Image matrix is when debluring an image from (i think) SVD (it is hard and complicated to accually find the best value in debluring), so when K(A)~1, it is numerical stabile, and K(A) far from 1, it is numerical unstable. it is the relationship between the larges and smalles Singular value's K(A)=a_1/a_r . i hope it helps – user53617 Dec 06 '22 at 15:17
  • You find in the special case of the condition number the double superior sysmbol $K(A)>>1$ – Jean Marie Dec 06 '22 at 15:23
  • @Jean Marie are you saying i should use (A)>>1, and does that mean it can only be larger than, and not less than, thx – user53617 Dec 07 '22 at 11:23
  • Yes, in the case of the condition number, it's what we need. – Jean Marie Dec 07 '22 at 12:01

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