Formulas for the surface areas of simple shapes were computed by the ancient Greeks, but computing the surface area of a more complicated shape usually requires multivariable calculus.

Formulas for expressing the roots of polynomials of degree 2 in terms of square roots have been known since ancient times ( see quadratic equation ), and for polynomials of degree 3 or 4 similar formulas ( using cube roots in addition to square roots ) were found in the 16th century ( see cubic function and quartic function for the formulas and Niccolo Fontana Tartaglia, Lodovico Ferrari, Gerolamo Cardano, and Vieta for historical details ).

His most notable works were his ethnographic studies of the Ghost Dance after Sitting Bull's death in 1890, a widespread 19th-century religious movement among various Native American culture groups, and the Cherokee: The Sacred Formulas of the Cherokees ( 1891 ), and Myths of the Cherokee ( 1900 ), all published by the US Bureau of American Ethnology.

The four titles in this edition were: The Arcane Teaching ( hardback ), The Arcane Formulas, or Mental Alchemy ( pamphlet ), The Mystery of Sex, or Sex Polarity ( pamphlet ), and Vril, or Vital Magnetism ( pamphlet ).

A collection of some of his famous guitar solos from Morbid Angel's sixth album " Formulas Fatal to the Flesh " were put on a B-side record entitled " Love of Lava " which later were included on the second disc of Morbid Angel's 8th album, " Heretic ".

Sloane was the author of The Standard Electrical Dictionary, first published in 1892, as well as How to become a Successful Electrician, Arithmetic of Electricity, Electricity Simplified, Electric Toy Making, Speed and Fun with Figures, Fortunes in Formulas, Motion Picture Projection, Liquid Air and the Liquefaction of Gases and numerous others ; including a translation into English of Saint Francis of Assisi: A Biography written by Johannes Jorgensen.

In the New York edition, this begins with " Formulas of the Magical Kabala of the Sixth and Seventh Books of Moses ", which again demonstrates seals and incantations, these said to be the Magic used by Moses himself at various points in the Biblical stories, such as how to turn his staff into a snake or conjure the pillar of fire.

Given an MV-algebra A, an A-valuation is a homomorphism from the algebra of propositional formulas ( in the language consisting of and 0 ) into A. Formulas mapped to 1 ( or 0 ) for all A-valuations are called A-tautologies.

* " Chambers of Dis ", a song by Florida death metal band Morbid Angel from their 1998 release Formulas Fatal to the Flesh

Formulas involving homogeneous coordinates are often simpler and more symmetric than their Cartesian counterparts.

Formulas can then be represented within the theory by the numerals corresponding to their Gödel numbers.

Formulas for the eccentricity of an ellipse that is expressed in the more general quadratic form are described in the article dedicated to conic sections.

* The Cambridge Handbook of Physics Formulas, G. Woan, Cambridge University Press, 2010, ISBN 978-0-521-57507-2.

Maroger published The Secret Formulas and Techniques of the Old Masters in 1948.

Redelius was assisting Maroger with a revision of The Secret Formulas and Techniques of the Old Masters before his death in 1962.

Formulas in Calligra Words are provided by the Formula plugin.

Formulas say how to mechanically compute new values from existing values.

*" Basic Concepts and Formulas in Microscopy: Numerical Aperture " by Michael W. Davidson, Nikon MicroscopyU ( website ).

For example, a 1901 medical book published for home health use gave the following two " Simple Remedy Formulas " for DYSENTERRY: ( 1 ) Thin boiled starch, 2 ounces ; Laudanum, 20 drops ; " Use as an injection every six to twelve hours "; ( 2 ) Tincture rhubarb, 1 ounce ; Laudanum 4 drachms ; " Dose: One teaspoonful every three hours.

This engine and its legacy drive the SD Trans Ams and Formulas as one of the more, if not the most, desirable Pontiacs ever produced.

Formulas, macros and other objects existed " outside " of the cells, which was intended to make editing much simpler and less error-prone.

Stirling Numbers of the First Kind., § 24. 1. 3 in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing.

* Milton Abramowitz and Irene A. Stegun, eds., Handbook of Mathematical Functions ( with Formulas, Graphs and Mathematical Tables ), U. S. Dept.

During this period he started supervising Ph. D. students, such as James Halpern ( Contributions to the Study of the Independence of the Axiom of Choice ) and Edgar Lopez-Escobar ( Infinitely Long Formulas with Countable Quantifier Degrees ).

Sacred Formulas of the Cherokees.

Fender later released a 7 " EP, " Four Formulas ", under his own name on XNTRIX records.

Early fanzines were hand-drafted or typed on a manual typewriter and printed using primitive reproduction techniques ( e. g., the spirit duplicator or even the hectograph ).

These early RPG fanzines were generally typed, sold mostly in an A5 format ( in the UK ) and were usually illustrated with abysmal or indifferent artwork.

" The phrases " I am a Berliner " and " I am proud to be in Berlin " were typed already a week before the speech on a list of expressions to be used, including a phonetic transcription of the German translation.

Consequently, jams were especially serious, because the typist could only discover the mishap by raising the carriage to inspect what he had typed.

Printing was unidirectional ; if the user wanted to delete what had been typed, further characters were printed to indicate that previous text had been cancelled.

* Enigma messages had to be written, enciphered, transmitted ( by Morse ), received, deciphered, and written again, while Typex messages were typed and automatically enciphered and transmitted all in one step, with the reverse also true.

It offered several channels, each of which could accommodate up to five people, with messages appearing on all users ' screens character-by-character as they were typed.

They were quite interested in the screen, and they saw that when they typed a letter, something happened.

( This was a plausible mistake because headwords on slips were typed with spaces between the letters, making " D or d " look very much like " D o r d ".

The first monospaced typefaces were designed for typewriters, which could only move the same distance forward with each letter typed.

Early instant messaging programs were primarily real-time text, where characters appeared as they were typed.

The resulting instance will inherit all the methods and properties that were defined in the class, which acts as a kind of template from which similar typed objects can be constructed.

Under ITS, when a user first walked up to a terminal at MIT and typed control-Z to get the computer's attention, it printed out some status information, including how many people were already using the computer.

As Wubi components are typed in the order that they would need to be written were one writing by hand, the 辶 and 廴 components are typically typed last.

Trouten's mother received several typed letters, purportedly mailed while the couple was abroad, although the envelopes were stamped with Kansas City postmarks.

The Armistice documents that ended World War Two were typed on an IBM, as was the original United Nations Charter.

While ELIZA and PARRY were used exclusively to simulate typed conversation, many chatterbots now include functional features such as games and web searching abilities.

It offered several channels, each of which could accommodate up to five people, with messages appearing on all users ' screens character-by-character as they were typed.

The notes allegedly typed by Ethel apparently contained little that was relevant to the Soviet atomic bomb project and some suggest Ethel was indicted along with Julius so that the prosecution could use her to pressure Julius into giving up the names of others who were involved.

Both of these were dynamically typed.

Programs were only executed as the machine typed or spaced over a column-tabbing or carriage returning was not recognised.