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: ( RCO )< sub > 2 </ sub > O + R ' OH → RCO < sub > 2 </ sub > R ' + RCO < sub > 2 </ sub > H
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RCO and )<
: ( RCO )< sub > 2 </ sub > O + R ' NH < sub > 2 </ sub > → ( RCO )< sub > 2 </ sub > NR ' + H < sub > 2 </ sub > O
:( RCO )< sub > 2 </ sub > O + H < sub > 2 </ sub > O < sub > 2 </ sub > → RCO < sub > 3 </ sub > H + RCO < sub > 2 </ sub > H
: RC ( O ) Cl + RC < sub > 2 </ sub > O < sub > 2 </ sub > H → ( RCO )< sub > 2 </ sub > O < sub > 2 </ sub > + HCl
RCO and sub
The chemical formulas of organic esters are typically written in the format of RCO < sub > 2 </ sub > R ', where R and R ' are the hydrocarbon parts of the carboxylic acid and alcohol, respectively.
: RCO < sub > 2 </ sub > H + R ' OH RCO < sub > 2 </ sub > R ' + H < sub > 2 </ sub > O
: RCO < sub > 2 </ sub > H + R ' OH + P ( C < sub > 6 </ sub > H < sub > 5 </ sub >)< sub > 3 </ sub > + R < sub > 2 </ sub > N < sub > 2 </ sub > → RCO < sub > 2 </ sub > R ' + OP ( C < sub > 6 </ sub > H < sub > 5 </ sub >)< sub > 3 </ sub > + R < sub > 2 </ sub > N < sub > 2 </ sub > H < sub > 2 </ sub >
RCO and 2
: RCO < sub > 2 </ sub > H + CH < sub > 2 </ sub > N < sub > 2 </ sub > → RCO < sub > 2 </ sub > CH < sub > 3 </ sub > + N < sub > 2 </ sub >
RCO and O
: HOCH < sub > 2 </ sub > CH ( OH ) CH < sub > 2 </ sub > OH + RCO < sub > 2 </ sub > H + R ' CO < sub > 2 </ sub > H + R < nowiki ></ nowiki > CO < sub > 2 </ sub > H → RCO < sub > 2 </ sub > CH < sub > 2 </ sub > CH ( O < sub > 2 </ sub > CR ') CR < nowiki ></ nowiki > + 3H < sub > 2 </ sub > O
: RCO < sub > 2 </ sub > H + H < sub > 2 </ sub > C = C = O → RCO < sub > 2 </ sub > C ( O ) CH < sub > 3 </ sub >
: RC ( O ) OC ( O ) R + HY → RC ( O ) Y + RCO < sub > 2 </ sub > H
: RCO < sub > 2 </ sub > H + H < sub > 2 </ sub > O < sub > 2 </ sub > RCO < sub > 3 </ sub > H + H < sub > 2 </ sub > O
RCO and +
: RCOCl + R ' OH → RCO < sub > 2 </ sub > R ' + HCl
RCO and R
: RCO < sub > 2 </ sub > R ' + CH < sub > 3 </ sub > OH → RCO < sub > 2 </ sub > CH < sub > 3 </ sub > + R ' OH
RCO and →
: RC ( O ) Cl + H < sub > 2 </ sub > O < sub > 2 </ sub > → RCO < sub > 3 </ sub > H + HCl
: C < sub > 6 </ sub > H < sub > 5 </ sub > N < sub > 2 </ sub >< sup >+</ sup > BF < sub > 4 </ sub >< sup >-</ sup > + RCO < sub > 2 </ sub > H → C < sub > 6 </ sub > H < sub > 5 </ sub > CO < sub > 2 </ sub > H + BF < sub > 3 </ sub > + N < sub > 2 </ sub > + RF
RCO and H
The three fatty acids ( RCO < sub > 2 </ sub > H, R ' CO < sub > 2 </ sub > H, R < nowiki ></ nowiki > CO < sub > 2 </ sub > H in the above equation ) are usually different, but many kinds of triglycerides are known.
)< and sub
* If it is required to use a single number X as an estimate for the value of numbers, then the arithmetic mean does this best, in the sense of minimizing the sum of squares ( x < sub > i </ sub > − X )< sup > 2 </ sup > of the residuals.
An amide is a compound with the functional group R < sub > n </ sub > E ( O )< sub > x </ sub > NR '< sub > 2 </ sub > ( R and R ' refer to H or organic groups ).
The term amide refers both to classes of compounds and to the functional group ( R < sub > n </ sub > E ( O )< sub > x </ sub > NR '< sub > 2 </ sub >) within those compounds.
* Equate – Al ( OH )< sub > 3 </ sub > and Mg ( OH )< sub > 2 </ sub >
* Gaviscon – Al ( OH )< sub > 3 </ sub >
* Maalox ( liquid ) – Al ( OH )< sub > 3 </ sub > and Mg ( OH )< sub > 2 </ sub >
)< and >
Egyptian civilization coalesced around 3150 BC ( according to conventional Egyptian chronology )< ref >
To see the elongated shape of ψ ( x, y, z )< sup > 2 </ sup > functions that show probability density more directly, see the graphs of d-orbitals below.
)< and 2
* Milk of Magnesia – Mg ( OH )< sub > 2 </ sub >
* Rolaids – CaCO < sub > 3 </ sub > and Mg ( OH )< sub > 2 </ sub >
* A basic salt of an alkali metal or alkaline earth metal ( This includes Mg ( OH )< sub > 2 </ sub > but excludes NH < sub > 3 </ sub >.
( This excludes Mg ( OH )< sub > 2 </ sub > but includes NH < sub > 3 </ sub >.
: r = ( 2 < sup >( n-m )</ sup >+ 1 )< sup > 2 </ sup > × 2 < sup > m + n </ sup > − 1,
: Ba + 2 ROH → Ba ( OR )< sub > 2 </ sub > + H < sub > 2 </ sub >↑ ( R is an alkyl or a hydrogen atom )
This form of rock consists mostly of the minerals gibbsite Al ( OH )< sub > 3 </ sub >, boehmite γ-AlO ( OH ), and diaspore α-AlO ( OH ), in a mixture with the two iron oxides goethite and hematite, the clay mineral kaolinite, and small amounts of anatase TiO < sub > 2 </ sub >.
The inorganic composition of bone ( bone mineral ) is formed from carbonated hydroxyapatite ( Ca < sub > 10 </ sub >( PO < sub > 4 </ sub >)< sub > 6 </ sub >( OH )< sub > 2 </ sub >) with lower crystallinity.
;< sup > 209 </ sup > Bi (< sup > 54 </ sup > Cr, xn )< sup > 263-x </ sup > Bh ( x = 1, 2 )
However, as 1 + ( k + 1 ) x + kx < sup > 2 </ sup > ≥ 1 + ( k + 1 ) x ( since kx < sup > 2 </ sup > ≥ 0 ), it follows that ( 1 + x )< sup > k + 1 </ sup > ≥ 1 + ( k + 1 ) x, which means the statement is true for r = k + 1 as required.
Fortunately, faster methods have been developed which require only O ( p ( log p )< sup > 2 </ sup >) operations ( see big-O notation ).
Harvey writes that the asymptotic time complexity of this algorithm is O ( n < sup > 2 </ sup > log ( n )< sup > 2 + eps </ sup >) and claims that this implementation is significantly faster than implementations based on other methods.
)< and </
* Mylanta – contains Al ( OH )< sub > 3 </ sub >
)< and O
;< sup > 254 </ sup > Es (< sup > 16 </ sup > O, xn )< sup > 270-x </ sup > Bh
Natural saccharides are generally built of simple carbohydrates called monosaccharides with general formula ( CH < sub > 2 </ sub > O )< sub > n </ sub > where n is three or more.
A typical monosaccharide has the structure H -( CHOH )< sub > x </ sub >( C = O )-( CHOH )< sub > y </ sub >- H, that is, an aldehyde or ketone with many hydroxyl groups added, usually one on each carbon atom that is not part of the aldehyde or ketone functional group.
However, some biological substances commonly called " monosaccharides " do not conform to this formula ( e. g., uronic acids and deoxy-sugars such as fucose ), and there are many chemicals that do conform to this formula but are not considered to be monosaccharides ( e. g., formaldehyde CH < sub > 2 </ sub > O and inositol ( CH < sub > 2 </ sub > O )< sub > 6 </ sub >).
Glucose | D-glucose is an aldohexose with the formula ( C · H < sub > 2 </ sub > O )< sub > 6 </ sub >.
The general chemical formula of an unmodified monosaccharide is ( C • H < sub > 2 </ sub > O )< sub > n </ sub >, literally a " carbon hydrate.
: 2 Dy ( s ) + 6 H < sub > 2 </ sub > O ( l ) → 2 Dy ( OH )< sub > 3 </ sub > ( aq ) + 3 H < sub > 2 </ sub > ( g )
: 2 Eu + 6 H < sub > 2 </ sub > O → 2 Eu ( OH )< sub > 3 </ sub > + 3 H < sub > 2 </ sub >
: 2 Er ( s ) + 6 H < sub > 2 </ sub > O ( l ) → 2 Er ( OH )< sub > 3 </ sub > ( aq ) + 3 H < sub > 2 </ sub > ( g )
* slaking of quicklime: CaO + H < sub > 2 </ sub > O → Ca ( OH )< sub > 2 </ sub >
* setting of the lime plaster: Ca ( OH )< sub > 2 </ sub > + CO < sub > 2 </ sub > → CaCO < sub > 3 </ sub > + H < sub > 2 </ sub > O
: 2 Gd + 6 H < sub > 2 </ sub > O → 2 Gd ( OH )< sub > 3 </ sub > + 3 H < sub > 2 </ sub >
Randomized algorithms can solve the problem in O (( log n )< sup > 2 </ sup >) time on processors ( note this is superpolynomial ).
Also, more readily reacting raw materials may be preferred over relatively inert ones, such as Al ( OH )< sub > 3 </ sub > over Al < sub > 2 </ sub > O < sub > 3 </ sub >.
: 2 Ho ( s ) + 6 H < sub > 2 </ sub > O ( l ) → 2 Ho ( OH )< sub > 3 </ sub > ( aq ) + 3 H < sub > 2 </ sub > ( g )
Metal ions are Lewis acids, and in aqueous solution they form aqua ions of the general formula M ( H < sub > 2 </ sub > O )< sub > n </ sub >< sup > m +</ sup >.
: M ( H < sub > 2 </ sub > O )< sub > n </ sub >< sup > m +</ sup > + H < sub > 2 </ sub > O M ( H < sub > 2 </ sub > O )< sub > n-1 </ sub >( OH )< sup >( m-1 )+</ sup > + H < sub > 3 </ sub > O < sup >+</ sup >
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