From Textus Receptus
Delta (uppercase Δ, lowercase δ; δέλτα; Modern Greek ˈðelta dhélta) is the fourth letter of the Greek alphabet. In the system of Greek numerals it has a value of 4. It was derived from the Phoenician letter Dalet. Letters that come from delta include Latin D and Cyrillic Д.
Math and science
The upper-case letter Δ can be used to denote
- A macroscopic change in the value of a variable in mathematics or science
- Uncertainty in a physical variable as seen in for instance the uncertainty principle
- An interval of possible values for a given quantity for instance across a sample
- Any of the delta particles in particle physics
- The determinant of the matrix of coefficients of a set of linear equations (see Cramer's Rule)
- That an associated locant number represents the location of a covalent bond in an organic compound, the position of which is variant between isomeric forms
- In chemistry, it is often used to represent the addition of heat in a reaction.
- In legal shorthand, it represents a defendant
- In the financial markets, it is one of the Greeks that describes the rate of change of an option price for a given change in the underlying benchmark
- It is the symbol of the Greek inventor and architect Daedalus
- In genetics, it can stand for a gene deletion, e.g. the CCR5-Δ32 a deletion of the CCR5 at the 32nd base pair segment
- The American Dental Association cites it (together with omicron for "odont") as the symbol of dentistry.
The lower-case letter δ can be used to denote
- An infinitesimal change in the value of a variable in infinitesimal calculus
- An auxiliary function in Calculus used to rigorously define the limit or continuity of a given function.
- The Kronecker delta in mathematics
- The Dirac delta function in mathematics
- The transition function in automata
- Deflection in engineering mechanics
- The Force of Interest in actuarial science
- The chemical shift of Nuclear Magnetic Resonance in chemistry
- The relative electronegativity of different atoms in a molecule, δ− being more electronegative than δ+
- Text requiring deletion in proofreading. The usage is said to date back to classical times
- In some of the manuscripts written by Dr. John Dee, the character of delta is used to represent Dee
- The Computer Science chapter at the Royal Institute of Technology<ref>Template:Cite web</ref>
- Is a subunit of the F1 sector of the F-ATPase
- The declination of an object in the equatorial coordinate system of astronomy
- The dividend yield on the Black-Scholes option pricing formula
- Signifies a major seventh chord in jazz music notation.
- Ratios of environmental isotopes, such as 18O/16O and D/1H from waters are displayed using delta notation - δ18O and δD, respectively
- The rate of depreciation of the aggregate capital stock of an economy in an exogenous growth model in macroeconomics.
- D, d
- Д, д
- Greek letters used in mathematics, science, and engineering
- Nabla symbol ()
- ∂ - the partial derivative symbol, sometimes mistaken for a lowercase Greek letter Delta.
- 1. http://ocw.mit.edu/high-school/courses/highlights-of-calculus/big-picture-of-calculus/
- 2. ADA.org: Oral Health Topics: Emblem/Insignia of Dentistry[dead link]
- 3. "Konglig Datasektionen, Statutes, §2.2 Symbol". D.kth.se. http://www.d.kth.se/sektionen/formalia/stadgar/#paragraf2.2. Retrieved 2010-09-07.
- 4. [dead link]