The mediaeval alchemical writings were generally rewritten in operational terms which specified, with varying degrees of precision, the proportion by weight of the substances to be used in alchemical recipes; there was also an emphasis onexperimental investigation of the products of such recipes that ...
it is difficult to understand and work with results that use technical terms when the definitions of these terms are not clear. This is similar to working with tools we are not sure how to use; to speaking a language using words for which the meaning is not clear. Knowing and understanding...
trinomial: an algebraic equation with 3 terms, e.g. 3x + 5y + 8z; 3x3 + 2x2 + x; etc.type theory: an alternative to naive set theory in which all mathematical entities are assigned to a type within a hierarchy of types, so that objects of a given type are built exclusively from...
Intriguingly, Knuth's explanation of the working principles in terms of boxes and glue, the boxes being the sorts and the glue variable amounts of space, shows similarity to the physical workings of the Monotype machine, with which Knuth was familiar. The fixed-size of a box dictates a ...
of text, often formatted with a single font. In this situation, actions such as contextual substitution or kerning can be done with access to the complete context of the line of text, and the rules can be expressed in terms of known glyph sequences. Math layout is quite different from ...
of text, often formatted with a single font. In this situation, actions such as contextual substitution or kerning can be done with access to the complete context of the line of text, and the rules can be expressed in terms of known glyph sequences. Math layout is quite different from ...
Mathematical LaTeX Helper is licensed under the terms of GPL3. Mathematical LaTeX Helper makes use of the following work by other authors (and further depends on their transitive dependencies): JLaTeXMath iTextPdf PdfBox MathOCR MathPix API Gutenberg Steganography Tutorial Directories-JVMAbout...
Starting with Fermi's formulation of the field as a set of harmonic oscillators, the effect of the oscillators is integrated out in the Lagrangian form of quantum mechanics. There results an expression for the effect of all virtual photons valid to all orders in ec. It is shown that ...
In this spirit, current ‘logic of proofs’ (starting from Artemov [1994]) is developing a general take on evidence combination, and one can view the ‘labeled deductive systems’ of Gabbay [1996] as a program with similar ambitions. We will briefly return to both in Section 8. Even so...
When models are expressed in terms of mathematical equations, the solutions are profoundly affected by nonlinearity. Based on the type of equations, the models are classified as linear or nonlinear. These classifications can be combined with the above-mentioned model types to yield, for example, li...