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  2. Dirichlet's unit theorem - Wikipedia

    en.wikipedia.org/wiki/Dirichlet's_unit_theorem

    Note that if K is Galois over then either r 1 = 0 or r 2 = 0.. Other ways of determining r 1 and r 2 are . use the primitive element theorem to write = (), and then r 1 is the number of conjugates of α that are real, 2r 2 the number that are complex; in other words, if f is the minimal polynomial of α over , then r 1 is the number of real roots and 2r 2 is the number of non-real complex ...

  3. UCP3 - Wikipedia

    en.wikipedia.org/wiki/UCP3

    Mitochondrial uncoupling protein 3 (UCP3) is a members of the larger family of mitochondrial anion carrier proteins (MACP). UCPs facilitate the transfer of anions from the inner to the outer mitochondrial membrane and transfer of protons from the outer to the inner mitochondrial membrane, reducing the mitochondrial membrane potential in mammalian cells.

  4. Algebra - Wikipedia

    en.wikipedia.org/wiki/Algebra

    Algebra is the branch of mathematics that studies certain abstract systems, known as algebraic structures, and the manipulation of expressions within those systems. It is a generalization of arithmetic that introduces variables and algebraic operations other than the standard arithmetic operations, such as addition and multiplication.

  5. Undergraduate Texts in Mathematics - Wikipedia

    en.wikipedia.org/wiki/Undergraduate_Texts_in...

    Undergraduate Texts in Mathematics (UTM) (ISSN 0172-6056) is a series of undergraduate-level textbooks in mathematics published by Springer-Verlag. The books in this series, like the other Springer-Verlag mathematics series, are small yellow books of a standard size.

  6. UCP2 - Wikipedia

    en.wikipedia.org/wiki/UCP2

    In contrast to UCP1 and UCP3, which are primarily expressed in adipose and smooth muscle, UCP2 is expressed on many different tissues [6] including the kidney, liver, GI tract, brain, and skeletal muscle. The exact mechanisms of anion transfer by UCPs are not known. [7] UCPs contain the three homologous protein domains of MACPs.

  7. Mortgage and refinance rates for Jan. 8, 2025: Rates for 30 ...

    www.aol.com/finance/mortgage-and-refinance-rates...

    Average mortgage rates for popular 30-year fixed terms are relatively flat while shorter 15-year fixed terms tick up as of Wednesday, January 8, 2025, elevated to their highest levels in six months.

  8. Today’s NYT ‘Strands’ Hints, Spangram and Answers ... - AOL

    www.aol.com/today-nyt-strands-hints-spangram...

    We'll cover exactly how to play Strands, hints for today's spangram and all of the answers for Strands #315 on Sunday, January 12. Related: 16 Games Like Wordle To Give You Your Word Game Fix More ...

  9. Report: Indiana QB Kurtis Rourke 'believed' to have played ...

    www.aol.com/sports/report-indiana-qb-kurtis...

    If Rourke played the entire season with a torn ACL, it would be a remarkable footnote to the best year in Indiana history. The Hoosiers went 11-1 in the regular season and made the College ...