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Namely, in characteristic not 2 or 3, a K3 surface X has an elliptic fibration if and only if there is a nonzero element with =. [14] (In characteristic 2 or 3, the latter condition may also correspond to a quasi-elliptic fibration.) It follows that having an elliptic fibration is a codimension-1 condition on a K3 surface.
The exterior derivative is an operation on differential forms that, given a k-form , produces a (k+1)-form . This operation extends the differential of a function (a function can be considered as a 0 -form, and its differential is d f ( x ) = f ′ ( x ) d x {\displaystyle df(x)=f'(x)dx} ).
Potassium ferricyanide is the chemical compound with the formula K 3 [Fe(CN) 6]. This bright red salt contains the octahedrally coordinated [Fe(CN) 6] 3− ion. [2] It is soluble in water and its solution shows some green-yellow fluorescence. It was discovered in 1822 by Leopold Gmelin. [3] [4]
A k-form ω is called closed if dω = 0; closed forms are the kernel of d. ω is called exact if ω = dα for some (k − 1)-form α; exact forms are the image of d. Because d 2 = 0, every exact form is closed. The Poincaré lemma states that in a contractible region, the converse is true.
Menadione is converted to vitamin K 2 (specifically, MK-4) by the prenyltransferase action of vertebrate UBIAD1. [4] This reaction requires the hydroquinone (reduced) form of K 3, menadiol, produced by NQO1. [6] Menadione is also a circulating form of vitamin K, produced in small amounts (1–5%) after intestinal absorption of K 1 and K 2.
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CF 3 COOH + KOH → CF 3 COOK + H 2 O. It can decompose when heated and reaches the maximum decomposition rate at 220 °C. The products are potassium fluoride and some volatile products, such as carbon dioxide, carbon monoxide, trifluoroacetyl fluoride, etc. [3]
Tripotassium phosphate, also called tribasic potassium phosphate [3] is a water-soluble salt with the chemical formula K 3 PO 4. (H 2 O) x (x = 0, 3, 7, 9). [ 4 ] Tripotassium phosphate is basic: a 1% aqueous solution has a pH of 11.8.