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  2. Woodward–Hoffmann rules - Wikipedia

    en.wikipedia.org/wiki/Woodward–Hoffmann_rules

    Thermolysis converts 1 to (E,E) geometric isomer 2, but 3 to (E,Z) isomer 4.. The Woodward–Hoffmann rules (or the pericyclic selection rules) [1] are a set of rules devised by Robert Burns Woodward and Roald Hoffmann to rationalize or predict certain aspects of the stereochemistry and activation energy of pericyclic reactions, an important class of reactions in organic chemistry.

  3. List of trigonometric identities - Wikipedia

    en.wikipedia.org/wiki/List_of_trigonometric...

    Diagram illustrating the relation between Ptolemy's theorem and the angle sum trig identity for sine. Ptolemy's theorem states that the sum of the products of the lengths of opposite sides is equal to the product of the lengths of the diagonals.

  4. Baldwin's rules - Wikipedia

    en.wikipedia.org/wiki/Baldwin's_rules

    Baldwin's rules also apply to aldol cyclizations involving enolates. [9] [10] Two new descriptors need to be defined: enolendo and enolexo, which refer to whether both carbons of the enolate C-C fragment are incorporated into the ring formed or not, respectively. The rules are the following: [11]

  5. Differentiation of trigonometric functions - Wikipedia

    en.wikipedia.org/wiki/Differentiation_of...

    The diagram at right shows a circle with centre O and radius r = 1. Let two radii OA and OB make an arc of θ radians. Since we are considering the limit as θ tends to zero, we may assume θ is a small positive number, say 0 < θ < ⁠ 1 / 2 ⁠ π in the first quadrant.

  6. Where To Get Free Treats On National Cookie Day - AOL

    www.aol.com/where-free-treats-national-cookie...

    Celebrate National Cookie Day by with free cookies and great deals from your favorite bakeries and restaurants. ... Los Angeles, and New York will receive a free cookie beginning at 10 a.m. Those ...

  7. ‘Yellowstone’ fans all have the same question after the ...

    www.aol.com/yellowstone-fans-same-finale...

    The "Yellowstone" Season 5 finale just left viewers wanting more and they may just get their wish.On Dec. 15, the popular series wrapped up its fifth season with an explosive finale that killed ...

  8. Rule of twelfths - Wikipedia

    en.wikipedia.org/wiki/Rule_of_twelfths

    Graph showing relationships between the rule of twelfths (coloured bars), a sine wave (dashed blue curve) and a clockface, if high tide occurs at 12:00. The rule of twelfths is an approximation to a sine curve. It can be used as a rule of thumb for estimating a changing quantity where both the quantity and the steps are easily divisible by 12 ...

  9. Herbert tosses 3 TD passes and Chargers secure a ... - AOL

    www.aol.com/justin-herbert-tosses-3-tds...

    Los Angeles Chargers quarterback Justin Herbert (10) throws a pass against the New England Patriots during the first half of an NFL football game, Saturday, Dec. 28, 2024, in Foxborough, Mass. (AP ...