Delta

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[[Image:delta.jpg|thumb|150px|Delta]]
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'''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 alphabet|Phoenician letter]] [[Dalet (letter)|Dalet]]. Letters that come from delta include [[Latin alphabet|Latin]] [[D]] and [[Cyrillic alphabet|Cyrillic]] [[De (Cyrillic)|Д]].
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A [[river delta]] (originally, the [[Nile River]] delta) is so named because its shape approximates the upper-case letter delta (the shape is a triangle).
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==Greek==
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In [[Ancient Greek]], it represented a [[voiced dental plosive]] /d/. In [[Modern Greek]], it represents a [[voiced dental fricative]] /ð/, like the "th" in "that" or "this". It is [[romanization of Greek|romanized]] as ''d'' or ''dh''.
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==Math and science==
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===Upper case===
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The upper-case letter Δ can be used to denote
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*[[Change (mathematics)|Change]] any type; (in science and engineering fields)
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*[[Difference operator|Change]]; e.g. in
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::[[image:258380b09cfe5f0f1fe3dfaadd4eecdf.png]], the average change of y per unit x, i.e. the change of y over the change of x
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*More specifically, the [[difference operator]]<sup>[]</sup>.
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*The [[Laplace operator]]:
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:[[image:a0b5af55760d4ae61ede0188931cbeca.png]]
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*The [[discriminant]] of a [[polynomial]] equation, especially the [[quadratic equation]]:
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:[[image:3fc7983ab93ee0dbf8cd2394e9b70854.png]]
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*A [[derivative|macroscopic change]] in the value of a variable in mathematics or science
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*[[Uncertainty]] in a physical variable as seen in for instance the [[uncertainty principle]]
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*An interval of possible values for a given quantity for instance across a sample
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*Any of the [[Delta baryon|delta particles]] in particle physics
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*The determinant of the matrix of coefficients of a set of linear equations (see [[Cramer's Rule]])
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*That an associated [[locant]] number represents the location of a [[covalent bond]] in an [[organic compound]], the position of which is variant between [[isomers|isomeric]] forms
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*In chemistry, it is often used to represent the addition of heat in a reaction.
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*In [[legal shorthand]], it represents a [[defendant]]
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*In the financial markets, it is one of the [[Greeks (finance)|Greeks]] that describes the rate of change of an option price for a given change in the underlying benchmark
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* It is the symbol of the Greek inventor and architect [[Daedalus]]
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*In [[genetics]], it can stand for a [[Deletion (genetics)|gene deletion]], e.g. the [[CCR5-Δ32]] a deletion of the CCR5 at the 32nd base pair segment
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*The [http://ada.org/ American Dental Association] cites it (together with omicron for "odont") as the symbol of dentistry.<sup>[]</sup>
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===Lower case===
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The lower-case letter δ can be used to denote
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*An [[differential (infinitesimal)|infinitesimal change]] in the value of a variable in [[infinitesimal calculus]]
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*An auxiliary function in [[Calculus]] used to rigorously define the [[Limit of a function|limit]] or [[Continuous function|continuity]] of a given function.
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*The [[Kronecker delta]] in mathematics
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*The [[Dirac delta function]] in mathematics
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*The transition function in [[Finite state machine|automata]]
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*[[Deflection (engineering)|Deflection]] in engineering mechanics
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*The [[Compound interest|Force of Interest]] in actuarial science
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*The [[chemical shift]] of [[Nuclear Magnetic Resonance]] in chemistry
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*The relative [[electronegativity]] of different atoms in a molecule, δ<sup>&minus;</sup> being more electronegative than δ<sup>+</sup>
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*Text requiring deletion in [[proofreading]]. The usage is said to date back to classical times
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*In some of the manuscripts written by Dr. [[John Dee (mathematician)|John Dee]], the character of delta is used to represent Dee
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*The Computer Science chapter at the [[Royal Institute of Technology]]<ref>{{cite web|url=http://www.d.kth.se/sektionen/formalia/stadgar/#paragraf2.2 |title=Konglig Datasektionen, Statutes, §2.2 Symbol |publisher=D.kth.se |date= |accessdate=2010-09-07}}</ref>
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*Is a subunit of the F1 sector of the [[F-ATPase]]
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*The [[declination]] of an object in the [[equatorial coordinate system]] of [[astronomy]]
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*The dividend yield on the [[Black-Scholes]] option pricing formula
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*Signifies a major seventh chord in jazz music notation.
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*Ratios of [[environmental isotopes]], such as <sup>18</sup>O/<sup>16</sup>O and [[Deuterium|D]]/<sup>1</sup>H from waters are displayed using [[Isotope geochemistry|delta notation]] - δ<sup>18</sup>O and δD, respectively
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*The rate of depreciation of the aggregate capital stock of an economy in an [[exogenous growth model]] in [[macroeconomics]].<sup>[]</sup>
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==See also==
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*[[D|D, d]]
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*[[De (Cyrillic)|Д, д]]
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*[[Th (digraph)|Th]]
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*[[Greek letters used in mathematics, science, and engineering]]
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*[[Nabla symbol]] ([[image:fe3a83e41074834731743ab803cd4936.png]])
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*[[∂]] - the [[partial derivative]] symbol, sometimes mistaken for a lowercase Greek letter Delta.
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==References==
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* 1. http://ocw.mit.edu/high-school/courses/highlights-of-calculus/big-picture-of-calculus/
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* 2. ADA.org: Oral Health Topics: Emblem/Insignia of Dentistry[dead link]
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* 3. "Konglig Datasektionen, Statutes, §2.2 Symbol". D.kth.se. http://www.d.kth.se/sektionen/formalia/stadgar/#paragraf2.2. Retrieved 2010-09-07.
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* 4. [1][dead link]
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{{Greek Lexicon}}
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[[Category:Greek letters]]
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{{Donate}}

Current revision

Delta
Delta

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.

A river delta (originally, the Nile River delta) is so named because its shape approximates the upper-case letter delta (the shape is a triangle).

Contents

Greek

In Ancient Greek, it represented a voiced dental plosive /d/. In Modern Greek, it represents a voiced dental fricative /ð/, like the "th" in "that" or "this". It is romanized as d or dh.

Math and science

Upper case

The upper-case letter Δ can be used to denote

  • Change any type; (in science and engineering fields)
  • Change; e.g. in
image:258380b09cfe5f0f1fe3dfaadd4eecdf.png, the average change of y per unit x, i.e. the change of y over the change of x
image:a0b5af55760d4ae61ede0188931cbeca.png
image:3fc7983ab93ee0dbf8cd2394e9b70854.png
  • 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.[]

Lower case

The lower-case letter δ can be used to denote

|CitationClass=web }}</ref>

See also

References

Majuscule form
ΑΒΓΔΕΖΗΘΙΚΛΜΝΞΟΠΡΣΤΥΦΧΨΩ
Minuscule form
αβγδεζηθικλμνξοπρστυφχψω
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List of New Testament uncials

01 · 02 · 03 · 04 · 05 · 06 · 07 · 08 · 09 · 010 · 011 · 012 · 013 · 014 · 015 · 016 · 017 · 018 · 019 · 020 · 021 · 022 · 023 · 024 · 025 · 026 · 027 · 028 · 029 · 030 · 031 · 032 · 033 · 034 · 035 · 036 · 037 · 038 · 039 · 040 · 041 · 042 · 043 · 044 · 045 · 046 · 047 · 048 · 049 · 050 · 051 · 052 · 053 · 054 · 055 · 056 · 057 · 058 · 059 · 060 · 061 · 062 · 063 · 064 · 065 · 066 · 067 · 068 · 069 · 070 · 071 · 072 · 073 · 074 · 075 · 076 · 077 · 078 · 079 · 080 · 081 · 082 · 083 · 084 · 085 · 086 · 087 · 088 · 089 · 090 · 091 · 092 · 093 · 094 · 095 · 096 · 097 · 098 · 099 · 0100 · 0101 · 0102 · 0103 · 0104 · 0105 · 0106 · 0107 · 0108 · 0109 · 0110 · 0111 · 0112 · 0113 · 0114 · 0115 · 0116 · 0117 · 0118 · 0119 · 0120 · 0121 · 0122 · 0123 · 0124 · 0125 · 0126 · 0127 · 0128 · 0129 · 0130 · 0131 · 0132 · 0134 · 0135 · 0136 · 0137 · 0138 · 0139 · 0140 · 0141 · 0142 · 0143 · 0144 · 0145 · 0146 · 0147 · 0148 · 0149 · 0150 · 0151 · 0152 · 0153 · 0154 · 0155 · 0156 · 0157 · 0158 · 0159 · 0160 · 0161 · 0162 · 0163 · 0164 · 0165 · 0166 · 0167 · 0168 · 0169 · 0170 · 0171 · 0172 · 0173 · 0174 · 0175 · 0176 · 0177 · 0178 · 0179 · 0180 · 0181 · 0182 · 0183 · 0184 · 0185 · 0186 · 0187 · 0188 · 0189 · 0190 · 0191 · 0192 · 0193 · 0194 · 0195 · 0196 · 0197 · 0198 · 0199 · 0200 · 0201 · 0202 · 0203 · 0204 · 0205 · 0206 · 0207 · 0208 · 0209 · 0210 · 0211 · 0212 · 0213 · 0214 · 0215 · 0216 · 0217 · 0218 · 0219 · 0220 · 0221 · 0222 · 0223 · 0224 · 0225 · 0226 · 0227 · 0228 · 0229 · 0230 · 0231 · 0232 · 0234 · 0235 · 0236 · 0237 · 0238 · 0239 · 0240 · 0241 · 0242 · 0243 · 0244 · 0245 · 0246 · 0247 · 0248 · 0249 · 0250 · 0251 · 0252 · 0253 · 0254 · 0255 · 0256 · 0257 · 0258 · 0259 · 0260 · 0261 · 0262 · 0263 · 0264 · 0265 · 0266 · 0267 · 0268 · 0269 · 0270 · 0271 · 0272 · 0273 · 0274 · 0275 · 0276 · 0277 · 0278 · 0279 · 0280 · 0281 · 0282 · 0283 · 0284 · 0285 · 0286 · 0287 · 0288 · 0289 · 0290 · 0291 · 0292 · 0293 · 0294 · 0295 · 0296 · 0297 · 0298 · 0299 · 0300 · 0301 · 0302 · 0303 · 0304 · 0305 · 0306 · 0307 · 0308 · 0309 · 0310 · 0311 · 0312 · 0313 · 0314 · 0315 · 0316 · 0317 · 0318 · 0319 · 0320 · 0321 · 0322 · 0323 ·


List of New Testament lectionaries

1 · 2 · 3 · 4 · 5 · 6 · 7 · 8 · 9 · 10 · 11 · 12 · 13 · 14 · 15 · 16 · 17 · 18 · 19 · 20 · 21 · 22 · 23 · 24 · 25 · 25b · 26 · 27 · 28 · 29 · 30 · 31 · 32 · 33 · 34 · 35 · 36 · 37 · 38 · 39 · 40 · 41 · 42 · 43 · 44 · 45 · 46 · 47 · 48 · 49 · 50 · 51 · 52 · 53 · 54 · 55 · 56 · 57 · 58 · 59 · 60 · 61 · 62 · 63 · 64 · 65 · 66 · 67 · 68 · 69 · 70 · 71 · 72 · 73 · 74 · 75 · 76 · 77 · 78 · 79 · 80 · 81 · 82 · 83 · 84 · 85 · 86 · 87 · 88 · 89 · 90 · 91 · 92 · 93 · 94 · 95 · 96 · 97 · 98 · 99 · 100 · 101 · 102 · 103 · 104 · 105 · 106 · 107 · 108 · 109 · 110 · 111 · 112 · 113 · 114 · 115 · 116 · 117 · 118 · 119 · 120 · 121 · 122 · 123 · 124 · 125 · 126 · 127 · 128 · 129 · 130 · 131 · 132 · 133 · 134 · 135 · 136 · 137 · 138 · 139 · 140 · 141 · 142 · 143 · 144 · 145 · 146 · 147 · 148 · 149 · 150 · 151 · 152 · 153 · 154 · 155 · 156 · 157 · 158 · 159 · 160 · 161 · 162 · 163 · 164 · 165 · 166 · 167 · 168 · 169 · 170 · 171 · 172 · 173 · 174 · 175 · 176 · 177 · 178 · 179 · 180 · 181 · 182 · 183 · 184 · 185 · 186 · 187 · 188 · 189 · 190 · 191 · 192 · 193 · 194 · 195 · 196 · 197 · 198 · 199 · 200 · 201 · 202 · 203 · 204 · 205 · 206a · 206b · 207 · 208 · 209 · 210 · 211 · 212 · 213 · 214 · 215 · 216 · 217 · 218 · 219 · 220 · 221 · 222 · 223 · 224 · 225 · 226 · 227 · 228 · 229 · 230 · 231 · 232 · 233 · 234 · 235 · 236 · 237 · 238 · 239 · 240 · 241 · 242 · 243 · 244 · 245 · 246 · 247 · 248 · 249 · 250 · 251 · 252 · 253 · 254 · 255 · 256 · 257 · 258 · 259 · 260 · 261 · 262 · 263 · 264 · 265 · 266 · 267 · 268 · 269 · 270 · 271 · 272 · 273 · 274 · 275 · 276 · 277 · 278 · 279 · 280 · 281 · 282 · 283 · 284 · 285 · 286 · 287 · 288 · 289 · 290 · 291 · 292 · 293 · 294 · 295 · 296 · 297 · 298 · 299 · 300 · 301 · 302 · 303 · 304 · 305 · 306 · 307 · 308 · 309 · 310 · 311 · 312 · 313 · 314 · 315 · 316 · 317 · 318 · 319 · 320 · 321 · 322 · 323 · 324 · 325 · 326 · 327 · 328 · 329 · 330 · 331 · 332 · 368 · 449 · 451 · 501 · 502 · 542 · 560 · 561 · 562 · 563 · 564 · 648 · 649 · 809 · 965 · 1033 · 1358 · 1386 · 1491 · 1423 · 1561 · 1575 · 1598 · 1599 · 1602 · 1604 · 1614 · 1619 · 1623 · 1637 · 1681 · 1682 · 1683 · 1684 · 1685 · 1686 · 1691 · 1813 · 1839 · 1965 · 1966 · 1967 · 2005 · 2137 · 2138 · 2139 · 2140 · 2141 · 2142 · 2143 · 2144 · 2145 · 2164 · 2208 · 2210 · 2211 · 2260 · 2261 · 2263 · 2264 · 2265 · 2266 · 2267 · 2276 · 2307 · 2321 · 2352 · 2404 · 2405 · 2406 · 2411 · 2412 ·



New book available with irrefutable evidence for the reading in the TR and KJV.
Revelation 16:5 book
Revelation 16:5 and the Triadic Declaration - A defense of the reading of “shalt be” in the Authorized Version