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A pairing is any R -bilinear map . That is, it satisfies. , and. for any and any and any . Equivalently, a pairing is an R -linear map. where denotes the tensor product of M and N . A pairing can also be considered as an R -linear map , which matches the first definition by setting . A pairing is called perfect if the above map is an ...
But travel can be expensive. Kiplinger estimated that retirees spend anywhere from $10,000 to $50,000 on their yearly travel expenses. Even those who end up spending much less should still avoid ...
July 5, 2024 at 10:15 AM. TOPEKA, Kan. (AP) — Kansas’ highest court strongly reaffirmed Friday that the state constitution protects abortion access, striking down a ban on a common second ...
July 26, 2024 at 3:05 PM. Parents of rare identical quadruplets share new photos — and how they tell the girls apart. Mercedes and Jonathan Sandhu, the Texas couple who welcomed identical ...
Weil pairing. In mathematics, the Weil pairing is a pairing ( bilinear form, though with multiplicative notation) on the points of order dividing n of an elliptic curve E, taking values in n th roots of unity. More generally there is a similar Weil pairing between points of order n of an abelian variety and its dual.
Non-canonical base pairing. Non-canonical base pairs are planar hydrogen bonded pairs of nucleobases, having hydrogen bonding patterns which differ from the patterns observed in Watson-Crick base pairs, as in the classic double helical DNA. The structures of polynucleotide strands of both DNA and RNA molecules can be understood in terms of ...
Colorfulkoala Dreamlux Leggings. If life gives you Lululemons, take ’em — but if you don't want to splurge on them yourself, these affordable alternatives look and feel like the real thing ...
Elize Ryd wearing in-ear monitors during a concert in 2018. In-ear monitors, or simply IEMs or in-ears, are devices used by musicians, audio engineers and audiophiles to listen to music or to hear a personal mix of vocals and stage instrumentation for live performance or recording studio mixing. They are also used by television presenters to ...