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  2. Infimum and supremum - Wikipedia

    en.wikipedia.org/wiki/Infimum_and_supremum

    If the supremum of exists, it is unique, and if b is an upper bound of , then the supremum of is less than or equal to b. Consequently, the supremum is also referred to as the least upper bound (or LUB). [1] The infimum is, in a precise sense, dual to the concept of a supremum.

  3. Limit inferior and limit superior - Wikipedia

    en.wikipedia.org/wiki/Limit_inferior_and_limit...

    The supremum/superior/outer limit is a set that joins these accumulation sets together. That is, it is the union of all of the accumulation sets. When ordering by set inclusion, the supremum limit is the least upper bound on the set of accumulation points because it contains each of them. Hence, it is the supremum of the limit points.

  4. Essential infimum and essential supremum - Wikipedia

    en.wikipedia.org/wiki/Essential_infimum_and...

    Exactly in the same way one defines the essential infimum as the supremum of the essential lower bound s, that is, ⁡ = {: ({: <}) =} if the set of essential lower bounds is nonempty, and as otherwise; again there is an alternative expression as ⁡ = {: ()} (with this being if the set is empty).

  5. List of music recording certifications - Wikipedia

    en.wikipedia.org/wiki/List_of_music_recording...

    Music recording certifications are typically awarded by the worldwide music industry based on the total units sold, streamed, or shipped to retailers. These awards and their requirements are defined by the various certifying bodies representing the music industry in various countries and territories worldwide. The standard certification awards ...

  6. Amazon to pay nearly $4M to settle lawsuit alleging it took ...

    www.aol.com/amazon-pay-nearly-4m-settle...

    Amazon has agreed to pay nearly $4 million to settle charges that the e-commerce company subsidized its labor costs by taking tips its delivery drivers received from customers, District of ...

  7. Production music - Wikipedia

    en.wikipedia.org/wiki/Production_music

    The production music market is dominated by libraries affiliated with the large record and publishing companies: Universal Music Publishing Group library music has the music libraries of Chappell Recording Music Library, Bruton, Atmosphere, and others such as Killer Tracks; Concord Music owns Imagem Production Music, formerly Boosey & Hawkes Production Music, which includes the Cavendish ...

  8. CVS Will Allow Customers to Unlock Those Anti-Theft Product ...

    www.aol.com/cvs-allow-customers-unlock-those...

    CVS just announced that it’s giving customers the ability to unlock the products they want with a new app, but it’s so complicated and intrusive that many people probably won’t use it.

  9. Sony Music Group warns more than 700 companies against ... - AOL

    www.aol.com/news/sony-music-group-warns-more...

    One of the biggest record labels in the world is issuing notices warning hundreds of companies not to train artificial intelligence models on its content without permission.