Phi

From Textus Receptus

(Difference between revisions)
Jump to: navigation, search
Current revision (05:38, 11 March 2016) (view source)
 
(3 intermediate revisions not shown.)
Line 1: Line 1:
[[Image:Phi.png|thumb|150px|Phi]]
[[Image:Phi.png|thumb|150px|Phi]]
-
'''Phi''' (uppercase Φ, lowercase φ or math symbol ϕ), pronounced ˈfaɪ or sometimes /ˈfiː/ in English,<sup>[]</sup> and ˈfi in [[Modern Greek language|modern Greek]], is the 21st letter of the [[Greek alphabet]]. In modern Greek, it represents [f], a [[voiceless labiodental fricative]]. In Ancient Greek it represented [pʰ], an [[Aspiration (phonetics)|aspirated]] [[voiceless bilabial plosive]] (from which English ultimately inherits the spelling "[[ph (digraph)|ph]]" in words derived from Greek).  In the system of [[Greek numerals]] it has a value of 500 (φʹ) or 500,000 (͵φ). The Cyrillic letter [[Ef (Cyrillic)|Ef]] (Ф, ф) arose from Φ.
+
'''Phi''' (uppercase Φ, lowercase φ or math symbol ϕ), pronounced ˈfaɪ or sometimes /ˈfiː/ in English,<sup>[1]</sup> and ˈfi in [[Modern Greek language|modern Greek]], is the 21st letter of the [[Greek alphabet]]. In modern Greek, it represents [f], a [[voiceless labiodental fricative]]. In Ancient Greek it represented [pʰ], an [[Aspiration (phonetics)|aspirated]] [[voiceless bilabial plosive]] (from which English ultimately inherits the spelling "[[ph (digraph)|ph]]" in words derived from Greek).  In the system of [[Greek numerals]] it has a value of 500 (φʹ) or 500,000 (͵φ). The Cyrillic letter [[Ef (Cyrillic)|Ef]] (Ф, ф) arose from Φ.
-
== Use as a symbol ==
 
-
The lower-case letter <math>\varphi \,</math> (or often its variant, <math>\phi \,</math>) is often used to represent the following:
 
-
*The [[golden ratio]] <math>\tfrac{1 + \sqrt{5}}{2} \approx 1.61803\ldots</math> in mathematics, art, and architecture.
 
-
*[[Euler's totient function]] ''φ''(''n'') in number theory; also called ''Euler's phi function''.
 
-
*In algebra, [[Group (mathematics)|group]] or [[Ring (mathematics)|ring]] [[homomorphism]]s
 
-
* In [[probability theory]], {{nowrap|1=''ϕ''(''x'') = (2π)<sup>−½</sup>''e''<sup>−''x''<sup>2</sup>/2</sup>}} is the [[probability density function]] of the [[normal distribution]].
 
-
* In [[probability theory]], {{nowrap|1=''φ''<sub>''X''</sub>(''t'') = E[&thinsp;''e''<sup>''itX''</sup>&thinsp;]}} is the [[characteristic function (probability theory)|characteristic function]] of a random variable ''X''.
 
-
*An [[angle]], typically the second angle mentioned, after ''θ'' ([[theta]]).  Especially:
 
-
**The argument of a [[complex number]].
 
-
**The [[phase (waves)|phase of a wave]] in signal processing.
 
-
**In [[spherical coordinates]], mathematicians usually refer to phi as the polar angle (from the ''z''-[[Coordinate axis|axis]]).  The convention in physics is to use phi as the azimuthal angle (from the ''x''-axis).
 
-
**One of the [[dihedral angle]]s in the backbones of [[protein]]s.
 
-
**Internal or effective [[angle of friction]].
 
-
*[[Electric potential]] in physics.
 
-
*The [[work function]] in electronics.
 
-
*A [[shorthand]] representation for an [[aromatic]] [[functional group]] in [[organic chemistry]].
 
-
*The [[fugacity]] coefficient in [[thermodynamics]].
 
-
*The ratio of [[Thermodynamic free energy|free energy]] destabilizations of protein [[mutant]]s in [[phi value analysis]].
 
-
*In [[cartography]] and [[navigation]], [[latitude]].
 
-
*In combustion engineering, equivalence ratio. The ratio between the actual fuel air ratio to the stoichiometric fuel air ratio.
 
-
*A sentence in [[first-order logic]].
 
-
*[[Porosity]] in geology and [[hydrology]].
 
-
*Strength (or resistance) reduction factor in [[structural engineering]], used to account for statistical variabilities in materials and construction methods.
 
-
*The symbol for a [[voiceless bilabial fricative]] in the [[International Phonetic Alphabet]] (using the straight line variant character)
 
-
*In economics, this is usually an additive term.{{Clarify|date=October 2009}}
 
-
*In [[flight dynamics]], the roll angle.
 
-
The upper-case letter Φ is used as a symbol for:
 
-
*The [[Golden_ratio#Golden_ratio_conjugate|golden ratio conjugate]] −0.618... in mathematics.
 
-
*The [[magnetic flux]] and [[electric flux]] in physics, with subscripts distinguishing the two.
 
-
*The [[cumulative distribution function]] of the [[normal distribution]] in [[mathematics]] and [[statistics]].
 
-
*[[Philosophy]].
 
-
*The number of phases in a power system in [[electrical engineering]], for example 1Φ for [[single phase]], 3Φ for [[three phase]].
 
-
*A common symbol for the parametrization of a surface in vector [[calculus]].
 
-
*In [[Lacanian algebra]], Φ stands for the imaginary phallus and also represents phallic signification. -Φ stands in for castration.<sup>[]</sup>
 
-
The [[diameter]] symbol in [[engineering]], [[⌀]], is often incorrectly referred to as "phi". This symbol is used to indicate the diameter of a circular section, for example "⌀14", means the diameter of the [[circle]] is 14 [[Units of measurement|units]].
 
== See also ==
== See also ==
Line 49: Line 14:
{{DEFAULTSORT:Phi (Letter)}}
{{DEFAULTSORT:Phi (Letter)}}
[[Category:Greek letters]]
[[Category:Greek letters]]
 +
 +
{{Donate}}

Current revision

Phi
Phi

Phi (uppercase Φ, lowercase φ or math symbol ϕ), pronounced ˈfaɪ or sometimes /ˈfiː/ in English,[1] and ˈfi in modern Greek, is the 21st letter of the Greek alphabet. In modern Greek, it represents [f], a voiceless labiodental fricative. In Ancient Greek it represented [pʰ], an aspirated voiceless bilabial plosive (from which English ultimately inherits the spelling "ph" in words derived from Greek). In the system of Greek numerals it has a value of 500 (φʹ) or 500,000 (͵φ). The Cyrillic letter Ef (Ф, ф) arose from Φ.


See also

References

The King James Version 2023 Edition New Testament is now complete and in print format here.
The King James Version 2023 Edition New Testament is now complete and in print format here.

List of New Testament Papyri

𝔓1 · 𝔓2 · 𝔓3 · 𝔓4 · 𝔓5 · 𝔓6 · 𝔓7 · 𝔓8 · 𝔓9 · 𝔓10 · 𝔓11 · 𝔓12 · 𝔓13 · 𝔓14 · 𝔓15 · 𝔓16 · 𝔓17 · 𝔓18 · 𝔓19 · 𝔓20 · 𝔓21 · 𝔓22 · 𝔓23 · 𝔓24 · 𝔓25 · 𝔓26 · 𝔓27 · 𝔓28 · 𝔓29 · 𝔓30 · 𝔓31 · 𝔓32 · 𝔓33 · 𝔓34 · 𝔓35 · 𝔓36 · 𝔓37 · 𝔓38 · 𝔓39 · 𝔓40 · 𝔓41 · 𝔓42 · 𝔓43 · 𝔓44 · 𝔓45 · 𝔓46 · 𝔓47 · 𝔓48 · 𝔓49 · 𝔓50 · 𝔓51 · 𝔓52 · 𝔓53 · 𝔓54 · 𝔓55 · 𝔓56 · 𝔓57 · 𝔓58 · 𝔓59 · 𝔓60 · 𝔓61 · 𝔓62 · 𝔓63 · 𝔓64 · 𝔓65 · 𝔓66 · 𝔓67 · 𝔓68 · 𝔓69 · 𝔓70 · 𝔓71 · 𝔓72 · 𝔓73 · 𝔓74 · 𝔓75 · 𝔓76 · 𝔓77 · 𝔓78 · 𝔓79 · 𝔓80 · 𝔓81 · 𝔓82 · 𝔓83 · 𝔓84 · 𝔓85 · 𝔓86 · 𝔓87 · 𝔓88 · 𝔓89 · 𝔓90 · 𝔓91 · 𝔓92 · 𝔓93 · 𝔓94 · 𝔓95 · 𝔓96 · 𝔓97 · 𝔓98 · 𝔓99 · 𝔓100 · 𝔓101 · 𝔓102 · 𝔓103 · 𝔓104 · 𝔓105 · 𝔓106 · 𝔓107 · 𝔓108 · 𝔓109 · 𝔓110 · 𝔓111 · 𝔓112 · 𝔓113 · 𝔓114 · 𝔓115 · 𝔓116 · 𝔓117 · 𝔓118 · 𝔓119 · 𝔓120 · 𝔓121 · 𝔓122 · 𝔓123 · 𝔓124 · 𝔓125 · 𝔓126 · 𝔓127 · 𝔓128 · 𝔓129 · 𝔓130 · 𝔓131 · 𝔓132 · 𝔓133 · 𝔓134 · 𝔓135 · 𝔓136 · 𝔓137 · 𝔓138 · 𝔓139 · 𝔓140 ·

List of New Testament minuscules

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 · 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 · 206 · 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 · 333 · 334 · 335 · 336 · 337 · 338 · 339 · 340 · 341 · 342 · 343 · 344 · 345 · 346 · 347 · 348 · 349 · 350 · 351 · 352 · 353 · 354 · 355 · 356 · 357 · 358 · 359 · 360 · 361 · 362 · 363 · 364 · 365 · 366 · 367 · 368 · 369 · 370 · 371 · 372 · 373 · 374 · 375 · 376 · 377 · 378 · 379 · 380 · 381 · 382 · 383 · 384 · 385 · 386 · 387 · 388 · 389 · 390 · 391 · 392 · 393 · 394 · 395 · 396 · 397 · 398 · 399 · 400 · 401 · 402 · 403 · 404 · 405 · 406 · 407 · 408 · 409 · 410 · 411 · 412 · 413 · 414 · 415 · 416 · 417 · 418 · 419 · 420 · 421 · 422 · 423 · 424 · 425 · 426 · 427 · 428 · 429 · 430 · 431 · 432 · 433 · 434 · 435 · 436 · 437 · 438 · 439 · 440 · 441 · 442 · 443 · 444 · 445 · 446 · 447 · 448 · 449 · 450 · 451 · 452 · 453 · 454 · 455 · 456 · 457 · 458 · 459 · 460 · 461 · 462 · 463 · 464 · 465 · 466 · 467 · 468 · 469 · 470 · 471 · 472 · 473 · 474 · 475 · 476 · 477 · 478 · 479 · 480 · 481 · 482 · 483 · 484 · 485 · 486 · 487 · 488 · 489 · 490 · 491 · 492 · 493 · 494 · 495 · 496 · 497 · 498 · 499 · 500 · 501 · 502 · 503 · 504 · 505 · 506 · 507 · 543 · 544 · 565 · 566 · 579 · 585 · 614 · 639 · 653 · 654 · 655 · 656 · 657 · 658 · 659 · 660 · 661 · 669 · 676 · 685 · 700 · 798 · 823 · 824 · 825 · 826 · 827 · 828 · 829 · 830 · 831 · 876 · 891 · 892 · 893 · 918 · 1071 · 1143 · 1152 · 1241 · 1253 · 1423 · 1424 · 1432 · 1582 · 1739 · 1780 · 1813 · 1834 · 2050 · 2053 · 2059 · 2060 · 2061 · 2062 · 2174 · 2268 · 2344 · 2423 · 2427 · 2437 · 2444 · 2445 · 2446 · 2460 · 2464 · 2491 · 2495 · 2612 · 2613 · 2614 · 2615 · 2616 · 2641 · 2754 · 2755 · 2756 · 2757 · 2766 · 2767 · 2768 · 2793 · 2802 · 2803 · 2804 · 2805 · 2806 · 2807 · 2808 · 2809 · 2810 · 2811 · 2812 · 2813 · 2814 · 2815 · 2816 · 2817 · 2818 · 2819 · 2820 · 2821 · 2855 · 2856 · 2857 · 2858 · 2859 · 2860 · 2861 · 2862 · 2863 · 2881 · 2882 · 2907 · 2965 ·

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

Retrieved from "http://mail.textus-receptus.com/wiki/Phi"
Personal tools