* The first part presents the basis for the first kinetic theory of non-equilibrium plasmas, starting from the Chapman-Enskog method for the transport phenomena and extending it to a biparametric expansion in series.

He and other Soviet leaders responsible for the document were proud of having brought forward some new formulas, such as the early replacement of the dictatorship of the proletariat by an `` All People's State '', and also of having laid down the lines for a much greater `` democratization '' of the whole hierarchy of Soviets, starting with the Supreme Soviet itself.

Equations for rodding formulas are not complicated.

To simplify the formulas a representative symbol is substituted for each of the factors.

And this fact may explain some of the disagreements among the experts as to the more rational formulas for the apportionment of total costs among different units of service.

Verbal and adverbial elements too participated in each epic diction, but it is for the present sufficient to mark the large nominal and adjectival supply of semantic near-equivalents, and to designate the members of any system of equivalents as basic formulas of the poetic language.

A system is said to be complete if, for all formulas,

A key problem in the design of good algorithms for this problem is that formulas for the variance may involve sums of squares, which can lead to numerical instability as well as to arithmetic overflow when dealing with large values.

The following formulas can be used to update the mean and ( estimated ) variance of the sequence, for an additional element.

One can also find there similar formulas for covariance.

There are several well-known formulas for the areas of simple shapes such as triangles, rectangles, and circles.

Having due regard to the magic papyri, in which many of the unintelligible names of the Abrasax-stones reappear, besides directions for making and using gems with similar figures and formulas for magical purposes, it can scarcely be doubted that many of these stones are pagan amulets and instruments of magic.

The propositional formulas could then be checked for unsatisfiability using a number of methods.

There are separate formulas for players and pitchers

However, due to concerns over the previous Cuban leader Fulgencio Batista the company had started foreign branches a few years prior to the revolution ; the Company moved the ownership of the Company's trademarks, assets and proprietary formulas out of the country to the Bahamas prior to the revolution as well as constructing plants in Puerto Rico and Mexico after the prohibition era to save in import taxes for rum being imported to the US.

Since B < sub > n </ sub >= 0 for all odd n > 1, and many formulas only involve even-index Bernoulli numbers, some authors write B < sub > n </ sub > instead of B < sub > 2n </ sub >.

The Bernoulli numbers appear in the Taylor series expansions of the tangent and hyperbolic tangent functions, in formulas for the sum of powers of the first positive integers, in the Euler – Maclaurin formula, and in expressions for certain values of the Riemann zeta function.

Moreover, already in 1893 Louis Saalschütz listed a total of 38 explicit formulas for the Bernoulli numbers,

However, chemical bonding of many types of elements results in crystalline solids and metallic alloys for which exact chemical formulas do not exist.

There are also symbols for series of chemical elements, for comparative formulas.

It may be possible to apply the chain rule even when there are no formulas for the functions which are being differentiated.

Filler and colleagues identified both vector and tensor based methods in the patents in July 1992, before any other group, but the data for these initial images was obtained using the following sets of vector formulas that provide Euler angles and magnitude for the principal axis of diffusion in a voxel, accurately modeling the axonal directions that cause the restrictions to the direction of diffusion:

The perfect gas equation arose from the work of Robert Boyle, Edme Mariotte and Joseph Louis Gay-Lussac, who, in studying the properties of real gases, found formulas applicable not to these but to an ideal, perfect gas.

Pages include formulas, function evaluators, and plotting calculators.

Additional acronyms and formulas include:

It may include the acquisition of intellectual property, such as information on industrial manufacture, ideas, techniques and processes, recipes and formulas.

It is the first book in history to include formulas for gunpowder and its use for various bombs ( thrown by sling or trebuchet catapult ).

Simple formulas that include the effect of the atmosphere give the range as:

The role of kērykes expanded, however, to include acting as inviolable messengers between states, even in time of war, proclaiming meetings of the council, popular assembly, or court of law, reciting there the formulas of prayer, and summoning persons to attend.

Improved formulas for determining stability and twist rates include the Miller Twist Rule and the McGyro program developed by Bill Davis and Robert McCoy.

Methods of finding these formulas include generating functions and the solution of recurrence relations.

Possible formulas for the area of D include:

Related formulas include the Buridan formula, and the converse Buridan formula.

Other equivalent formulas ( obtained by expanding this formula ) that may be convenient include

Examples of domain-specific languages include HTML, Logo for children, Verilog and VHDL hardware description languages, Mata for matrix programming, Mathematica and Maxima for symbolic mathematics, spreadsheet formulas and macros, SQL for relational database queries, YACC grammars for creating parsers, regular expressions for specifying lexers, the Generic Eclipse Modeling System for creating diagramming languages, Csound for sound and music synthesis, and the input languages of GraphViz and GrGen, software packages used for graph layout and graph rewriting.

Other formulas may include additional ingredients such as other carotenes ( e. g. lutein, lycopene ), higher than RDA amounts of B, C or E vitamins including gamma-tocopherol, " near " B vitamins ( inositol, choline, PABA ), trimethylglycine ( anhydrous betaine ), betaine hydrochloride, vitamin K < sub > 2 </ sub > as menaquinone-7, lecithin, citrus bioflavinoids or nutrient forms variously described as more easily absorbed.

Other formulas for BSA in m < sup > 2 </ sup > include:

These classical Rasayan formulas, contain a large number of ingredients, including minerals, pearl, coral and gems, and include a specially processed ( samskara ) mercury ( the word ras indicates mercury as an ingredient ).

These include recitation formulas, melody-types, and standard phrases that are clearly evident in the folk music and other traditional music of various cultures of the East.

These traditional methods include several formulas including Hagis, Hoffer Q, Holladay 1, Holladay 2, and SRK / T to name a few.

* Rules: equations, formulas, function calls which may include logical conditions

On the negative side, most well-defined formulas for graph properties must include exceptions for if it is included as a graph (" counting all strongly connected components of a graph " would become " counting all non-null strongly connected components of a graph ").