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arxiv 2306.06989 v1 pith:XZQKTJH3 submitted 2023-06-12 math.CA math.FAmath.PR

Please, not textit{another} note about Generalized Inverses

classification math.CA math.FAmath.PR
keywords generalizedinversesanotherfunctionsleft-non-decreasingnoteplease
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We prove some statements of left- and right-continuous variants of generalized inverses of non-decreasing real functions.

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  1. Faster quantum linear system solver beyond the condition number

    quant-ph 2026-07 accept novelty 7.0

    Two quantum linear system solvers are presented with query complexity independent of the condition number, scaling instead with an effective condition number or a solution-norm ratio.