Publication

Synthesis of 4-hydroxy-2,6-bis(hydroxymethyl)tetrahydropyran-2-carbaldehyde derivatives

Pierre Vogel
1998
Journal Articles

Abstract

Cycloaddition of 1,3-dibromo-2-oxyallyl cation to 2-(benzyloxymethyl)furan provided a 8-oxabicyclo[3.2.1]hept-6-en-3-one derivative that was transformed into (2RS,3SR,4SR,5SR,6SR)-3,4-dibromo-2-benzyloxymethyl-2,6-bis(hydroxymethy l)-4- (methoxymethyloxy)tetrahydropyran. Selective protection and oxidation produced a protected 3,5-dibromo-4-hydroxy-2,6-bis(hydroxymethyl)tetrahydropyran-2-carbaldehy de that could be used to carry out cross-aldolisations, opening an approach to the synthesis of C-disaccharide analogues mimicking sialic acid glycosides.

Official source

https://infoscience.epfl.ch/entities/publication/1cd990b7-7ba8-4730-85af-3f0b50fe6df4

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Pierre Vogel
1998
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/1cd990b7-7ba8-4730-85af-3f0b50fe6df4

About this result

Related concepts (28)

Derivative

In mathematics, the derivative shows the sensitivity of change of a function's output with respect to the input. Derivatives are a fundamental tool of calculus. For example, the derivative of the position of a moving object with respect to time is the object's velocity: this measures how quickly the position of the object changes when time advances. The derivative of a function of a single variable at a chosen input value, when it exists, is the slope of the tangent line to the graph of the function at that point.

Generalizations of the derivative

In mathematics, the derivative is a fundamental construction of differential calculus and admits many possible generalizations within the fields of mathematical analysis, combinatorics, algebra, geometry, etc. The Fréchet derivative defines the derivative for general normed vector spaces . Briefly, a function , an open subset of , is called Fréchet differentiable at if there exists a bounded linear operator such that Functions are defined as being differentiable in some open neighbourhood of , rather than at individual points, as not doing so tends to lead to many pathological counterexamples.

Second derivative

In calculus, the second derivative, or the second-order derivative, of a function f is the derivative of the derivative of f. Informally, the second derivative can be phrased as "the rate of change of the rate of change"; for example, the second derivative of the position of an object with respect to time is the instantaneous acceleration of the object, or the rate at which the velocity of the object is changing with respect to time. In Leibniz notation: where a is acceleration, v is velocity, t is time, x is position, and d is the instantaneous "delta" or change.