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  2. Intensive and extensive properties - Wikipedia

    en.wikipedia.org/wiki/Intensive_and_extensive...

    It follows, for example, that the ratio of two extensive properties is an intensive property. To illustrate, consider a system having a certain mass, , and volume, . The density, is equal to mass (extensive) divided by volume (extensive): =.

  3. Volume form - Wikipedia

    en.wikipedia.org/wiki/Volume_form

    An orientable manifold has infinitely many volume forms, since multiplying a volume form by a nowhere-vanishing real valued function yields another volume form. On non-orientable manifolds, one may instead define the weaker notion of a density. A volume form provides a means to define the integral of a function on a

  4. Gay-Lussac's law - Wikipedia

    en.wikipedia.org/wiki/Gay-Lussac's_law

    2 volumes of hydrogen + 1 volume of oxygen = 2 volume of gaseous water. could also be expressed as 2 molecules of hydrogen + 1 molecule of oxygen = 2 molecule of water. The law of combining volumes of gases was announced publicly by Joseph Louis Gay-Lussac on the last day of 1808, and published in 1809.

  5. Density on a manifold - Wikipedia

    en.wikipedia.org/wiki/Density_on_a_manifold

    An element of the density bundle at x is a function that assigns a volume for the parallelotope spanned by the n given tangent vectors at x. From the operational point of view, a density is a collection of functions on coordinate charts which become multiplied by the absolute value of the Jacobian determinant in the change of coordinates.

  6. Strength of materials - Wikipedia

    en.wikipedia.org/wiki/Strength_of_materials

    Volume, modulus of elasticity, distribution of forces, and yield strength affect the impact strength of a material. In order for a material or object to have a high impact strength, the stresses must be distributed evenly throughout the object. It also must have a large volume with a low modulus of elasticity and a high material yield strength. [7]

  7. Yield (chemistry) - Wikipedia

    en.wikipedia.org/wiki/Yield_(chemistry)

    The theoretical molar yield is 2.0 mol (the molar amount of the limiting compound, acetic acid). The molar yield of the product is calculated from its weight (132 g ÷ 88 g/mol = 1.5 mol). The % yield is calculated from the actual molar yield and the theoretical molar yield (1.5 mol ÷ 2.0 mol × 100% = 75%). [citation needed]

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  9. Glossary of areas of mathematics - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_areas_of...

    Also called infinitesimal calculus A foundation of calculus, first developed in the 17th century, that makes use of infinitesimal numbers. Calculus of moving surfaces an extension of the theory of tensor calculus to include deforming manifolds. Calculus of variations the field dedicated to maximizing or minimizing functionals. It used to be called functional calculus. Catastrophe theory a ...