# formula

## Definitions

• WordNet 3.6
• n formula something regarded as a normative example "the convention of not naming the main character","violence is the rule not the exception","his formula for impressing visitors"
• n formula (mathematics) a standard procedure for solving a class of mathematical problems "he determined the upper bound with Descartes' rule of signs","he gave us a general formula for attacking polynomials"
• n formula a group of symbols that make a mathematical statement
• n formula a conventionalized statement expressing some fundamental principle
• n formula directions for making something
• n formula a representation of a substance using symbols for its constituent elements
• n formula a liquid food for infants
• ***
Webster's Revised Unabridged Dictionary
• Interesting fact: Coupons were introduced in 1894 when Asa Candler bought the Coca-Cola formula for \$2,300 and gave people coupons that he had written out to receive a free glass of coke
• Formula A prescribed or set form; an established rule; a fixed or conventional method in which anything is to be done, arranged, or said.
• Formula (Med) A prescription or recipe for the preparation of a medicinal compound.
• Formula (Math) A rule or principle expressed in algebraic language; as, the binominal formula .
• Formula (Chem) A symbolic expression (by means of letters, figures, etc.) of the constituents or constitution of a compound.
• Formula (Eccl) A written confession of faith; a formal statement of foctrines.
• ***
Century Dictionary and Cyclopedia
• Interesting fact: In 1886, Coca-cola was first served at a pharmacy in Atlanta, Georgia for only five cents a glass. A pharmacist named John Pemberton created the formula for Coca-cola
• n formula In general, a prescribed form or rule; a fixed or conventional method in which anything is to be done, arranged, or said; particularly, a form of words in which something is required by rule or custom to be stated.
• n formula Specifically Eccles., a written confession of faith; a formal enunciation or statement of doctrines. See creed, and confession of faith, under confession, 3.
• n formula In mathematics, any general equation; a rule or principle expressed in algebraic symbols.
• n formula In chem., an expression by means of symbols and figures of the constituents of a compound. See chemical formula, under chemical.
• n formula See the qualifying words.
• n formula See the adjectives.
• n formula various algebraic formulæ devised by the authors whose names are given, to express the quantity of flow of water in term's of length, depth, etc., in a measuring-device.
• n formula where , and of any triangle.
• n formula The phalangeal formula is 2, 3, 4, 5, 4.
• n formula Osborn, The Reptilian Subclasses Diapsida and Synapsida.
• ***
Chambers's Twentieth Century Dictionary
• Interesting fact: At 120 miles per hour, a Formula One car generates so much downforce that it can drive upside down on the roof of a tunnel
• n Formula form′ū-la a prescribed form: a formal statement of doctrines: :
• n Formula form′ū-la (math.) a general expression for solving problems
• n Formula form′ū-la (chem.) a set of symbols expressing the components of a body
• ***

## Quotations

• Thomas J. Peters “The magic formula that successful businesses have discovered is to treat customers like guests and employees like people.”
• Daniel Burrus “Focus on competition has always been a formula for mediocrity.”
• Erwin W. Lutzer “Those who have failed miserably are often the first to see God's formula for success.”
• Herbert B. Swope “I cannot give the formula for success, but I can give you the formula of failure -- which is try to please everybody.” “What all men are really after is some form, or perhaps only some formula, of peace.”
• Maria Mitchell “Every formula which expresses a law of nature is a hymn of praise to God.”

## Etymology

Webster's Revised Unabridged Dictionary
L., dim. of forma, form, model. SeeForm (n.)
Chambers's Twentieth Century Dictionary
L., dim. of forma.

## Usage

### In literature:

After studying my formulas, what should the pupil do?
"Assimilative Memory" by Marcus Dwight Larrowe (AKA Prof. A. Loisette)
Now his oracle was a stuffed crocodile hanging from the ceiling, and a voice came from it which told him to repeat the magic formula.
"The Sleeping Beauty" by C. S. Evans
The legal formulae were almost a habit with him.
"The Day of Judgment" by Joseph Hocking
This is the age of "nominies," in which the individual player hurls defiance at his opponents with set formulas, usually in rhyme.
"Games for the Playground, Home, School and Gymnasium" by Jessie H. Bancroft
He was a mass of rough human nature; no prig or bundle of abstract formulae, like Paine and his Radical successors.
"The English Utilitarians, Volume II (of 3)" by Leslie Stephen
Was it a secret formula?
"The Girl and The Bill" by Bannister Merwin
The formula needed a precise interpretation; and that interpretation Descartes gave.
"The Great Events by Famous Historians, Volume 11" by Various
Becoeur appears to have flourished about the year 1770, and his formula is still commonly used.
"Practical Taxidermy" by Montagu Browne
These formulae were translated and adapted by the Rev.
"Europa's Fairy Book" by Joseph Jacobs
We had made a wise choice, though on a hit-or-miss formula, and we were content.
"The Automobilist Abroad" by M. F. (Milburg Francisco) Mansfield
Yes, the wise man too speaks, and acts, in Formulas; all men do so.
"Past and Present" by Thomas Carlyle
From Huysmans he has learned the formula for ravishing all our senses.
"The Merry-Go-Round" by Carl Van Vechten
But the realities of life cannot be measured by rigid theological formulae.
"The Map of Life" by William Edward Hartpole Lecky
Any of the formulas in this chapter will be readily filled by your druggist.
"The Ladies Book of Useful Information" by Anonymous
But this formula expresses what ought to be, not what actually occurs.
"Essay on the Creative Imagination" by Th. Ribot
To me the whole document was a mass of unintelligible formulae.
"The Crack of Doom" by Robert Cromie
There is nothing improbable in the supposition that an analysis of the world may yield a number of formulae, all consistent with the facts.
"The Will to Believe" by William James
Many letters asking for paste formulas have been received by the author.
"The Automobile Storage Battery" by O. A. Witte
To follow this formula in our search for common ground is to be utterly scientific, for it is the laboratory method of experiment.
"The Church, the Schools and Evolution" by J. E. (Judson Eber) Conant
The Nestorian formula, in effect, juxtaposed the ideal Christ and the real Jesus, and left the two unrelated.
"Monophysitism Past and Present" by A. A. Luce
***

### In poetry:

"What distillate prepared according
to the formulas of ancient Grecosyrian magi
which, in bringing back these things,
can also bring back our little room."
"According To The Formulas Of Ancient Grecosyrian Magi" by Constantine P Cavafy
FOR KING AND COUNTRY was a rallying cry
That turned men's hearts to fire, their nerves to steel;
Not to unheeding ears did it appeal,
A pulpit formula, a platform lie.
"Patriotism" by Robert Fuller Murray
But residues of meaning still remain,
As darkest myths meander through the pain
Towards a final formula of light.
I, too, reject this clarity of sight.
What cannot be explained, do not explain.
"Philosophy" by Nissim Ezekiel
No proposition Euclid wrote,
No formulae the text-books know,
Will turn the bullet from your coat,
Or ward the tulwar's downward blow
Strike hard who cares — shoot straight who can —
The odds are on the cheaper man.
"Arithmetic on the Frontier" by Rudyard Kipling
Creeds were to them but chains to break;
No formulas their thirst could slake,
No faith their hunger feed;
Their prayers were breathed to unscaled crags,
They worshipped where the eagle flags,
And the snow—streams flash and speed.
"Poet’s Corner" by Alfred Austin

### In news:

It is the ultimate breeding ground for any Formula One star of the future, and a medium endorsed by one of the sport's greatest drivers, Ayrton Senna.
Red Bull's Mark Webber is one of the biggest names in Formula One.
The introduction of a new chassis and engine formula was expected to shake up the ranks in the Izod IndyCar Series.
Alan Jackson, shown performing at the 2012 BamaJam Music and Arts Festival in Enterprise, Ala. Brought his successful formula to the Minnesota State Fair on Friday night.
Heiress Tamara Ecclestone seems to be inheriting her Formula One dad's interest in wheels as she recreates the spirit of the Greased Lightning scene from Grease .
In politics and beyond, the marriage of passion and profit is a winning formula for entrepreneurs.
An "STP" sandwich with "Formula 45 sauce" is the signature lunch at Groucho 's Deli in Columbia, S.C. "STP," stands for "simple taste of paradise," and Groucho 's has been making the sandwich since 1941.
A formula for cleaning grout .
While critics deemed his recommendation as a "heresy," Houlsby's formula is now standard practice, says Warner.
Sebastian Vettel was quickest in Formula One practice in.
That's the formula for the most important part of your workout.
The filmmaker-star returns to his tried-and-true formula with the latest Madea movie.
LONDON — The head of McLaren believes Lewis Hamilton rushed into a decision to leave the team and regrets moving to Formula One rival Mercedes.
LONDON – The head of McLaren believes Lewis Hamilton rushed into a decision to leave the team and regrets moving to Formula One rival Mercedes.
The head of McLaren believes Lewis Hamilton rushed into a decision to leave the team and regrets moving to Formula One rival Mercedes.
***

### In science:

In general, the formula for the difference of orthogonal groups is obtained from the formula for the sum of orthogonal groups as follows.
Random matrix theory over finite fields: a survey
The formula for Rµ found there is correct, but the formulae for G µ (z ) and for the density are incorrect.
Invariant subspaces of Voiculescu's circular operator
In fact, the original calculation of the multiplicities, which was quite different from the one given in this paper, led to formulas similar to those of Proposition 10 (Section C.1), and it was not immediately obvious that these formulas gave the q -derangement numbers.
Semigroups, rings, and Markov chains
Using the formula 1/(λ ± iε) = P V 1 λ ∓ iπδ(λ) we get a formula for V ′ (λ) in terms of the real part of the resolvent on the cut V ′ (λ) = 2 Re G(λ).
Free Random Levy Matrices
However, no handy formula is available for the cross section of this process in the limit of high B and standard non-magnetic formulae are in use whenever necessary.
Neutron Stars as Sources of High Energy Particles - the case of RPP
There are, however, some other textbooks and reviews that give rigorous mathematical derivations of formulas describing the angular momentum transport, starting from the formula for the molecular viscosity (e.g., Spruit, 2) Kato et al. 6) ).
Is Angular Momentum in an Accretion Disk Transported Inwards?
We then extend results of Hannay [Han] and Bleher, Shiffman, Zelditch [BSZ2] to derive different formulae for correlations between zeros of the SU (1, 1) random analytic functions, by applying the generalized Kac-Rice formula.
SU(1,1) Random Polynomials
An L-formula ϕ( ¯x) is equivalent to a formula of the form P (f ( ¯x)), where f is a deﬁnable function such that f ( ¯x) = 0 if ϕ( ¯x) holds and f ( ¯x) = a (a is a nonstandard element) otherwise.
Definability of initial segments
The formula (2) is in fact a special case of a counting formula for a class of vicious walker paths.
Random walks and random fixed-point free involutions
Another remark is that the formula (22) is not suﬃcient to obtain the result, in fact it does not even guarantee gauge invariance (in Aµ ), and the more detailed formula (24) is needed.
Generalized heat kernel coefficients
Let Fτ (x; k) be the generating function for the sequence {fτ (n, k)}n≥0 where fτ (n, k) = |[k ]n (τ )|; that is, Fτ (x; k) = Xn≥0 In the current subsection, we ﬁnd explicit formulas or recurrence formulas for Fτ (x; k) where τ is a three-letter generalized pattern with exactly one adjacent pair of letters.
Words restricted by 3-letter generalized multipermutation patterns
The generalized entropy formula, called the Cardy-Verlinde formula, is further shown to coincide with the Friedmann equation at the moment when the conjectured bound on the Casimir energy is saturated.
A Note on the Cardy-Verlinde Formula
Hence the other formulas such as “(Ay)(~Q(p, y))”, or GUS, and “q(p, r)” are also well-formed formulas.