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Search Mathematical Formulas by Mathematical Formulas

2009
Users cannot search information by mathematical formulas as queries in existing search engines. This is because mathematical formulas are not expressed as a sequence of characters. Some formulas are expressed in a complex structure like fractional numbers and index numbers.
Yoshinori Hijikata   +2 more
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On a Formula of Inversion

SIAM Journal on Mathematical Analysis, 1982
This paper develops a formula of inversion for an integral transform of a type similar to that associated with the names of Kontorovich and Lebedev except that the kernel involves the Neumann function $Y_u (kr)$ and the variable r varies over the truncated infinite interval $a \leq r 0$.
Naylor, D., Chang, P. H.
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Pyrgeometer formula

Applied Optics, 1997
In a recent article [Appl. Opt. 34 , 1598 (1995) a new pyrgeometer formula was proposed. This formula leads to a] bias at isothermal conditions. The origin of the bias is explored by a more rigorous treatment of the radiation processes involved in the energy balance of a pyrgeometer.
W, Kohsiek, A C, van Lammeren
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The ‘Finding a Formula’-Formula

1982
In William Dean Howells’s short story ‘Editha’ the main structuring device of the plot is the conflict between the militaristic idealism of the relatives and friends of the heroine, whose name (Editha) reveals that she delights in battle-slaughter, and the relatives and friends of the hero, whose name (George) reveals a pacifist, agrarian disposition.
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On simplicity of formulas

Studia Logica, 1990
Given an axiom system S, it is natural to ask if S has an equivalent simpler reformulation. The authors give a precise notion of simplicity using a generalized Kleene-Mostowski classification that takes into account not only the number of quantifier alternations, but also the number of quantifiers.
Michal Krynicki, Leslaw Szczerba
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ON WHITE'S FORMULA

Journal of Knot Theory and Its Ramifications, 2000
A smooth knot is non-trivial precisely if it cannot be unlinked from every small deformation of itself. White's formula expresses the linking number of a representative of a knot and a deformation of it as a sum of two, not necessarily integral, terms — a writhe and a twist. An elementary proof is given of this formula.
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The Ellis formula

The British Journal of Radiology, 1973
With regard to Ellis's now famous formula: it is fair to say that the indices are a bit off-putting to the average radiotherapy practitioner, while the notion of a “single dose equivalent”, be it true or false, is at least mildly attractive. The calculation is tedious. You can buy a special slide rule if you like.
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Entropy of formulas

Archive for Mathematical Logic, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Formulas with Reversal

2017
We introduce the new concept of “formula with reversal”. We show some simple formulas with reversal that have high index and we give a partial characterization of unavoidable formulas with reversal.
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