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    • CommentRowNumber1.
    • CommentAuthorM.rash
    • CommentTimeFeb 10th 2025

    I am stuck on a math problem and urgently need help. Please, anyone who can assist, I would greatly appreciate it.

    Before I pose my question, let me define the concept of a line-free cone:

    A set C is called a line-free cone if it is a cone, and for every vC{0}, we have vC.

    Now, let n and d be two positive integers, and consider the following set:

    T={(dx,xy):x,yandx+y2nd}.

    The question is to find a line-free cone that contains the set T. However, I am considering the set

    L={(x,y):|y|xd},

    which contains T, but while it appears to be a cone, it does not satisfy the conditions of a cone.

    If anyone could help clarify or provide insights, I would be extremely grateful.