By Samuel Johnson

Surprising, colourful, and long-forgotten entries from the main well-known dictionary within the heritage of the English language

Samuel Johnson's best-known paintings, A Dictionary of the English Language (1755), is the main influential and idiosyncratic lexicon ever written and was once utilized by Jane Austen and Charles Dickens, the Brontës and the Brownings, Thomas Hardy and Oscar Wilde. This anthology comprises 4,000 of the main consultant, wonderful, and traditionally interesting entries, masking matters from type to nutrition, technology to intercourse, and given in complete with unique spelling and examples of utilization from Shakespeare to Milton.

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26] J. Itard, Lagrange, Joseph Louis, in Dictionary of Scientific Biography, VII, Scribner’s Sons, New York, 1975, 559–573. [27] S. L’Huillier, Exposition ´el´ementaire des principes des calculs sup´erieure, Decker, Berlin, 1787. L. Lagrange, Th´eorie des fonctions analytiques, Impr. de la R´epublique, Paris, 1797. [29] A. Lomholt, Det Kongelige Danske Videnskabers Selskab, 1749–1942, I kommission hos E. Munksgaard, Copenhagen, 1942. [30] J. L¨ utzen, Joseph Liouville 1809–1882, Master of Pure and Applied Mathematics, Springer-Verlag, New York, 1990.

That Chern classes are algebraic cycles holds, basically, because vector bundles have plenty of meromorphic sections. (iii) A particular case of (ii) is that the integral linear combinations of classes of divisors (= codimension 1 cycles) are simply the first Chern classes of line bundles. If Z + − Z − is the divisor of a meromorphic section of L, c1 (L) = cl(Z + ) − cl(Z − ). This is the starting point of the proof given by Kodaira and Spencer [7] of the Hodge conjecture for H 2 : a class c ∈ H 2 (X, Z) of type (1, 1) has image 0 in the quotient H 0,2 = H 2 (X, O) of H 2 (X, C), and the long exact sequence of cohomology defined by the exponential exact sequence exp(2πi ) 0 −−−−→ Z −−−−→ O −−−−−−−→ O∗ −−−−→ 0 shows that c is the first Chern class of a line bundle.

To express cl(Z) in terms of Chern classes, one resolves the structural sheaf OZ by a finite complex of vector bundles. That Chern classes are algebraic cycles holds, basically, because vector bundles have plenty of meromorphic sections. (iii) A particular case of (ii) is that the integral linear combinations of classes of divisors (= codimension 1 cycles) are simply the first Chern classes of line bundles. If Z + − Z − is the divisor of a meromorphic section of L, c1 (L) = cl(Z + ) − cl(Z − ).

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A Dictionary of the English Language: An Anthology by Samuel Johnson
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