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empirical formula
(redirected from Sum formula)

   Also found in: Dictionary/thesaurus, Encyclopedia, Wikipedia 0.01 sec.
formula /for·mu·la/ (for´mu-lah) pl. formulas, for´mulae   [L.] an expression, using numbers or symbols, of the composition of, or of directions for preparing, a compound, such as a medicine, or of a procedure to follow to obtain a desired result, or of a single concept.
chemical formula  a combination of symbols used to express the chemical composition of a substance.
dental formula  an expression in symbols of the number and arrangement of teeth in the jaws. Letters represent the various types of teeth: I, incisor; C, canine; P, premolar; M, molar. Each letter is followed by a horizontal line. Numbers above the line represent maxillary teeth; those below, mandibular teeth. The human dental formula is I22C11M22= 10 (one side only) for deciduous teeth, and I22C11P22M33= 16 (one side only) for permanent teeth.
empirical formula  a chemical formula which expresses the proportions of the elements present in a substance.
molecular formula  a chemical formula expressing the number of atoms of each element present in a molecule of a substance, without indicating how they are linked.
spatial formula , stereochemical formula a chemical formula giving the number of atoms of each element present in a molecule of a substance, which atom is linked to which, the type of linkages involved, and the relative positions of the atoms in space.
structural formula  a chemical formula showing the number of atoms of each element in a molecule, their spatial arrangement, and their linkage to each other.
Enlarge picture
Structural formulas for ethanol.
vertebral formula  an expression of the number of vertebrae in each region of the spinal column; the human vertebral formula is C7 T12 L5 S5 Cd4 = 33.

empirical formula
n.
A chemical formula that indicates the relative proportions of the elements in a molecule rather than the actual number of atoms of the elements.

empirical formula,
a chemical formula that shows the smallest whole number ratio of atoms of different elements in a molecule. It does not indicate structural linkage. An example is CH2O, a carbohydrate.

formula [for´mu-lah] (pl. formulas, for´mulae) (L.)
1. an expression, using numbers or symbols, giving the directions for preparing a compound (such as a medicine) or giving a procedure to follow to obtain a desired result.
2. a mixture for feeding an infant, usually with cow's milk as a base, supplemented with vitamins and minerals. Various formulas are available, differing in protein, fat, and carbohydrate content in order to meet the nutritional requirements or restrictions of individual infants.
chemical formula a combination of symbols used to express the chemical components of a substance.
empirical formula a chemical formula that expresses the proportions of the elements present in a substance.
molecular formula a chemical formula expressing the number of each element present in a substance, without indicating how they are linked.
spatial formula (stereochemical formula) a chemical formula giving the numbers of atoms of each element present in a molecule of a substance, which atom is linked to which, the types of linkages involved, and the relative positions of the atoms in space.
structural formula a chemical formula showing the spatial arrangement of the atoms and the linkage of every atom.

empirical formula (em·piˑ·r·kl fōrˑ·myōō·l),
n the simplest whole-number formula used to express the composition of a chemical compound.

formula
pl. formulae, formulas [L.] an expression, using numbers or symbols, of the composition of, or of directions for preparing, a compound, such as a medicine, or of a procedure to follow to obtain a desired result, or of a single concept.

chemical formula
a combination of symbols used to express the chemical components of a substance.
dental formula
see dental formula.
empirical formula
a chemical formula that expresses the proportions of the elements present in a substance.
gait formula
sets out the times that the feet are individually in contact with the ground while the animal is moving.
molecular formula
a chemical formula expressing the number of atoms of each element present in a substance, without indicating how they are linked.
spatial formula, stereochemical formula
a chemical formula giving the numbers of atoms of each element present in a molecule of a substance, which atom is linked to which, the types of linkages involved, and the relative positions of the atoms in space.
structural formula
a chemical formula showing the spatial arrangement of the atoms and the linkage of every atom.
vertebral formula
sets out the number of vertebrae in each of the sections of the spinal column.


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The fourth paper by Lyubarskii and Madych is the generalization of the Poisson Sum Formula to nonuniform samples that form a Riesz basis.
However, an array formula in D9 would do the job in one pass:{=SUM(B3:B7*C3:C7)} That simple formula extracts all the information from the underlying cells without the usual sum formulas in D3:D8.
Here Varadarajan (mathematics, UCLA) takes a unique approach, combining the history of Euler's work with practice of it, covering Euler's biography, his theories, and other "teachable topics" as zeta values, Euler-Maclaurin Sum Formula, divergent series and integrals, and Euler products.
 
 
 
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