Beta: Difference between revisions
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{{more citations needed|date=December 2012}} |
{{more citations needed|date=December 2012}} |
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{{Greek Alphabet|letter=beta}} |
{{Greek Alphabet|letter=beta}} |
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'''Beta''' ({{IPAc-en|UK|ˈ|b|iː|t|ə}}, {{IPAc-en|US|ˈ|b|eɪ|t|ə}}; uppercase {{Script|Grek|'''Β'''}}, lowercase {{not a typo|{{Script|Grek|'''β'''}}}}, or [[cursive Greek|cursive]] {{Script|Grek|[[#Typography|{{not a typo|ϐ}}]]}}; {{ |
'''Beta''' ({{IPAc-en|UK|ˈ|b|iː|t|ə}}, {{IPAc-en|US|ˈ|b|eɪ|t|ə}}; uppercase {{Script|Grek|'''Β'''}}, lowercase {{not a typo|{{Script|Grek|'''β'''}}}}, or [[cursive Greek|cursive]] {{Script|Grek|[[#Typography|{{not a typo|ϐ}}]]}}; {{langx|grc|βῆτα|bē̂ta}} or {{langx|el|βήτα|víta}}) is the second letter of the [[Greek alphabet]]. In the system of Greek numerals, it has a value of 2. In [[Ancient Greek]], beta represented the [[voiced bilabial plosive]] {{IPA-el|b|IPA}}. In [[Modern Greek]], it represents the [[voiced labiodental fricative]] {{IPA-el|v|IPA}} while {{IPA-el|b|IPA}} in borrowed words is instead commonly transcribed as μπ.<ref>{{Cite web |title=UN Romanization of Greek for Geographical Names (1987) |url=http://www.eki.ee/wgrs/rom1_el.htm |access-date=2022-11-13 |website=www.eki.ee}}</ref><ref>{{Cite web |title=Pronouncing the Greek Alphabet |url=https://www.thoughtco.com/the-greek-alphabet-1705558 |access-date=2022-11-13 |website=ThoughtCo |language=en}}</ref> Letters that arose from beta include the Roman letter {{angle bracket|[[B]]}} and the Cyrillic letters {{angle bracket|[[Be (Cyrillic)|Б]]}} and {{angle bracket|[[Ve (Cyrillic)|В]]}}. |
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==Name== |
==Name== |
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Like the names of most other Greek letters, the name of beta was adopted from the [[acrophony|acrophonic]] name of the corresponding letter in Phoenician, which was the common [[Semitic languages|Semitic]] word |
Like the names of most other Greek letters, the name of beta was adopted from the [[acrophony|acrophonic]] name of the corresponding letter in [[Phoenician alphabet|Phoenician]], which was the common [[Semitic languages|Semitic]] word {{lang|sem-x-proto|*bayt}} ('house', compare {{langx|ar|بيت}} {{lang|ar-Latn|bayt}} and {{langx|he|בית}} {{lang|he-Latn|báyit}}). In Greek, the name was {{lang|grc|βῆτα}} {{lang|grc-Latn|bêta}}, pronounced {{IPA-el|bɛ̂ːta|}} in Ancient Greek. It is spelled {{lang|el|βήτα}} in modern monotonic orthography and pronounced {{IPA-el|ˈvita|}}. |
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==History== |
==History== |
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The letter beta was derived from the [[Phoenician alphabet|Phoenician letter]] [[Bet (letter)|beth]] [[Image:Phoenician beth.svg|20px|Beth]]. |
The letter beta was derived from the [[Phoenician alphabet|Phoenician letter]] [[Bet (letter)|beth]] [[Image:Phoenician beth.svg|20px|Beth]]. |
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The letter Β had the largest number of highly divergent local forms. Besides the standard form (either rounded or pointed, {{GrGl|Beta 16}}), there were forms as varied as {{GrGl|Beta 12}} ([[Gortyn]]), {{GrGl|Beta 01}} and {{GrGl|Beta 10}} ([[Thera]]), {{GrGl|Beta 03}} ([[Argos, Peloponnese|Argos]]), {{GrGl|Beta 05}} ([[Melos]]), {{GrGl|Beta Corinth 1}} ([[Corinth]]), {{GrGl|Beta Byzantium 1}} ([[Megara]], [[Byzantium]]), and {{GrGl|Gamma C-shaped}} ([[Cyclades]]).<ref>{{cite book |last1=Jeffery |first1=Lilian Hamilton |title=The Local Scripts of Archaic Greece |date=1961 |publisher=Oxford University Press |page=23}}</ref> |
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==Uses== |
==Uses== |
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===Finance=== |
===Finance=== |
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[[Beta (finance)|Beta is used in finance]] as a measure of |
[[Beta (finance)|Beta is used in finance]] as a measure of investment portfolio risk. Beta in this context is calculated as the covariance of the portfolio's returns with its benchmark's returns, divided by the variance of the benchmark's returns. A beta of 1.5 means that for every 1% change in the value of the benchmark, the portfolio's value tends to change by 1.5%. |
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Beta '''should not be confused with standard deviation''' (or the semi-variance, which considers only negative returns): the preferred measure of the "riskiness" (historical volatility of returns) of a financial asset or a portfolio in isolation. |
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Beta can be calculated as the covariance of a financial asset (or portfolio) with its benchmark index, divided by the variance of the benchmark index. |
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Since the industry of finance gravitates towards return generating activities, typically the historical returns (percentage changes) are used in the calculations Beta values (among others). |
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There are numerous other methods a financial analyst can employ to derive Beta values if historical prices are not available. |
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Beta values change over time (company restructuring; industry sentiment; endo/exogenous factors). Beta values also vary, conditional on the time period used in calculating a Beta value. |
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Beta values can be negative, which infers the existence of financial assets which historically, tended to move in opposite directions to one another by some unit value. |
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It would seem these are the optimal "hedges" to offset market-draw-downs, during periods of market-stress and poor liquidity Beta values can vary dramatically, and previously low or even negative correlations converge to "1". |
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A beta of 1.5 implies that for every 1% change in the value of the benchmark index, the portfolio's value tends to change by 1.5%. |
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The greater the absolute value, the greater the implied move. |
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===International Phonetic Alphabet=== |
===International Phonetic Alphabet=== |
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* [[Betacam]], including Beta SP and DigiBeta, is a family of professional videotape formats launched in 1982 that was the de facto standard for professional video, advertising, and television production through the 2000s. The formats outlasted analog [[NTSC]] television, and their scarcity today is because the industry has moved to [[High-definition video|HD]] formats. |
* [[Betacam]], including Beta SP and DigiBeta, is a family of professional videotape formats launched in 1982 that was the de facto standard for professional video, advertising, and television production through the 2000s. The formats outlasted analog [[NTSC]] television, and their scarcity today is because the industry has moved to [[High-definition video|HD]] formats. |
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== |
== Unicode == |
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* Greek Beta |
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{{charmap |
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|0392|name1=Greek Capital Letter Beta |
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|03B2|name2=Greek Small Letter Beta |
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|03D0|name3=Greek Beta Symbol |
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|1D5D|name4=Modifier Letter Small Beta |
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|1D66|name5=Greek Subscript Small Letter Beta |
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|map2=DOS Greek|map2char1=81|map2char2=99 |
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|map3=DOS Greek-2|map3char1=A5|map3char2=D7 |
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|map4=Windows 1253|map4char1=C2|map4char2=E2 |
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|namedref1=TeX|ref1char2=\beta |
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}} |
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* Coptic Vida |
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{{charmap |
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|2C82|name1=Coptic Capital Letter Vida |
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|2C83|name2=Coptic Small Letter Vida}} |
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* [[Latin beta|Latin Beta]] |
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{{charmap |
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|A7B4|name1=Latin Capital Letter Beta |
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|A7B5|name2=Latin Small Letter Beta |
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}} |
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* Mathematical Beta |
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* {{unichar|0392|html=}} |
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{{charmap |
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* {{unichar|03B2|html=}} ({{tt|\beta}} in TeX) |
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|1D6A9|name1=Mathematical Bold<br />Capital Beta |
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* {{unichar|03D0|html=}} |
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|1D6C3|name2=Mathematical Bold<br />Small Beta |
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* {{unichar|1D5D|html=}} |
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|1D6E3|name3=Mathematical Italic<br />Capital Beta |
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* {{unichar|1D66|html=}} |
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|1D6FD|name4=Mathematical Italic<br />Small Beta |
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* {{unichar|1DE9|cwith=◌}} |
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|1D71D|name5=Mathematical Bold Italic<br />Capital Beta |
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* {{unichar|2C82|html=}} |
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|1D737|name6=Mathematical Bold Italic<br />Small Beta |
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* {{unichar|2C83|html=}} |
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}} |
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* {{unichar|333C|html=}} (Japanese square katakana of {{lang|ja|ベータ}} {{transl|ja|bēta}}) |
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* {{unichar|A7B4|html=}} |
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* {{unichar|A7B5|html=}} |
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* {{unichar|10381|html=}} |
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⚫ | |||
{{charmap |
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|1D757|name1=Mathematical Sans-Serif<br />Bold Capital Beta |
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|1D771|name2=Mathematical Sans-Serif<br />Bold Small Beta |
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|1D791|name3=Mathematical Sans-Serif<br />Bold Italic Capital Beta |
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|1D7AB|name4=Mathematical Sans-Serif<br />Bold Italic Small Beta |
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}} |
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* {{unichar|1D6A9|html=}} |
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⚫ | |||
* {{unichar|1D6C3|html=}} |
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* {{unichar|1D6E3|html=}} |
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* {{unichar|1D6FD|html=}} |
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* {{unichar|1D71D|html=}} |
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* {{unichar|1D737|html=}} |
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* {{unichar|1D757|html=}} |
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* {{unichar|1D771|html=}} |
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* {{unichar|1D791|html=}} |
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* {{unichar|1D7AB|html=}} |
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==References== |
==References== |
Latest revision as of 13:51, 7 November 2024
This article needs additional citations for verification. (December 2012) |
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Beta (UK: /ˈbiːtə/, US: /ˈbeɪtə/; uppercase Β, lowercase β, or cursive ϐ; Ancient Greek: βῆτα, romanized: bē̂ta or Greek: βήτα, romanized: víta) is the second letter of the Greek alphabet. In the system of Greek numerals, it has a value of 2. In Ancient Greek, beta represented the voiced bilabial plosive IPA: [b]. In Modern Greek, it represents the voiced labiodental fricative IPA: [v] while IPA: [b] in borrowed words is instead commonly transcribed as μπ.[1][2] Letters that arose from beta include the Roman letter ⟨B⟩ and the Cyrillic letters ⟨Б⟩ and ⟨В⟩.
Name
[edit]Like the names of most other Greek letters, the name of beta was adopted from the acrophonic name of the corresponding letter in Phoenician, which was the common Semitic word *bayt ('house', compare Arabic: بيت bayt and Hebrew: בית báyit). In Greek, the name was βῆτα bêta, pronounced [bɛ̂ːta] in Ancient Greek. It is spelled βήτα in modern monotonic orthography and pronounced [ˈvita].
History
[edit]The letter beta was derived from the Phoenician letter beth .
The letter Β had the largest number of highly divergent local forms. Besides the standard form (either rounded or pointed, ), there were forms as varied as (Gortyn), and (Thera), (Argos), (Melos), (Corinth), (Megara, Byzantium), and (Cyclades).[3]
Uses
[edit]Algebraic numerals
[edit]In the system of Greek numerals, beta has a value of 2. Such use is denoted by a number mark: Β′.
Computing
[edit]Finance
[edit]Beta is used in finance as a measure of investment portfolio risk. Beta in this context is calculated as the covariance of the portfolio's returns with its benchmark's returns, divided by the variance of the benchmark's returns. A beta of 1.5 means that for every 1% change in the value of the benchmark, the portfolio's value tends to change by 1.5%.
International Phonetic Alphabet
[edit]In the International Phonetic Alphabet, Greek minuscule beta denotes a voiced bilabial fricative [β].
A superscript version may also indicate a compressed vowel, like [ɯᵝ].
Meteorology
[edit]Beta has twice been used to name an Atlantic Basin tropical cyclone:
- Hurricane Beta, in 2005
- Tropical Storm Beta, in 2020
Mathematics and science
[edit]Beta is often used to denote a variable in mathematics and physics, where it often has specific meanings for certain applications. In physics a stream of unbound energetic electrons is commonly referred to as beta radiation or beta rays. Decays producing electrons or their antiparticles are called beta decays. In regression analysis, ⟨B⟩ symbolizes nonstandardized partial slope coefficients, whereas ⟨β⟩ represents standardized (standard deviation-score form) coefficients; in both cases, the coefficients reflect the change in the criterion Y per one-unit change in the value of the associated predictor X. β is also used in biology, for instance in β-Carotene, a primary source of provitamin A, or the β cells in pancreatic islets, which produce insulin.
β is sometimes used as a placeholder for an ordinal number if α is already used. For example, the two roots of a quadratic equation are typically labelled α and β.
In spaceflight, beta angle describes the angle between the orbit plane of a spacecraft or other body and the vector from the sun.
β is sometimes used to mean the proton-to-electron mass ratio.
The uppercase letter beta is not generally used as a symbol because it tends to be rendered identically to the uppercase Latin B.
Rock climbing terminology
[edit]The term "beta" refers to advice on how to successfully complete a particular climbing route, boulder problem, or crux sequence.[4]
Slang
[edit]Beta male, or simply beta, is a slang term for men derived from the designation for beta animals in ethology, along with its counterpart, alpha male.[5][6] The term has been used as a pejorative self-identifier among members of manosphere communities, particularly incels, who do not believe they are assertive or traditionally masculine, and feel overlooked by women.[7][8] It is also used to negatively describe other men who are not assertive, particularly in heterosexual relationships.
Statistics
[edit]In statistics, beta may represent type II error, or regression slope.
Typography
[edit]In some high-quality typesetting, especially in the French tradition, a typographic variant of the lowercase letter without a descender is used within a word for ancient Greek: βίβλος is printed βίϐλος.[9]
In typesetting technical literature, it is a commonly made mistake to use the German letter ß (a s–z or s–s ligature) as a replacement for β. The two letters resemble each other in some fonts, but they are unrelated.[10]
Videotape formats
[edit]"Beta" can be used to refer to several consumer and professional videotape formats developed by Japan's Sony Corporation. Although similarly named, they are very different in function and obsolescence.
- Betamax was the name of a domestic videotape format developed in the 1970s and 1980s. It competed with the Video Home System (VHS) format developed by the Japanese Victor Company, to which it eventually succumbed. The Betamax format was also marketed Betacord by (Sanyo); some cassettes were simply labeled "Beta", and the logo was a lower-case beta. Betamax lost in the market and is an oft-used example of a technically superior solution that failed due to market forces.
- Betacam, including Beta SP and DigiBeta, is a family of professional videotape formats launched in 1982 that was the de facto standard for professional video, advertising, and television production through the 2000s. The formats outlasted analog NTSC television, and their scarcity today is because the industry has moved to HD formats.
Unicode
[edit]- U+0392 Β GREEK CAPITAL LETTER BETA (Β)
- U+03B2 β GREEK SMALL LETTER BETA (β) (\beta in TeX)
- U+03D0 ϐ GREEK BETA SYMBOL
- U+1D5D ᵝ MODIFIER LETTER SMALL BETA
- U+1D66 ᵦ GREEK SUBSCRIPT SMALL LETTER BETA
- U+1DE9 ◌ᷩ COMBINING LATIN SMALL LETTER BETA
- U+2C82 Ⲃ COPTIC CAPITAL LETTER VIDA
- U+2C83 ⲃ COPTIC SMALL LETTER VIDA
- U+333C ㌼ SQUARE BEETA (Japanese square katakana of ベータ bēta)
- U+A7B4 Ꞵ LATIN CAPITAL LETTER BETA
- U+A7B5 ꞵ LATIN SMALL LETTER BETA
- U+10381 𐎁 UGARITIC LETTER BETA
These characters are used only as mathematical symbols. Stylized Greek text should be encoded using the normal Greek letters, with markup and formatting to indicate text style:
- U+1D6A9 𝚩 MATHEMATICAL BOLD CAPITAL BETA
- U+1D6C3 𝛃 MATHEMATICAL BOLD SMALL BETA
- U+1D6E3 𝛣 MATHEMATICAL ITALIC CAPITAL BETA
- U+1D6FD 𝛽 MATHEMATICAL ITALIC SMALL BETA
- U+1D71D 𝜝 MATHEMATICAL BOLD ITALIC CAPITAL BETA
- U+1D737 𝜷 MATHEMATICAL BOLD ITALIC SMALL BETA
- U+1D757 𝝗 MATHEMATICAL SANS-SERIF BOLD CAPITAL BETA
- U+1D771 𝝱 MATHEMATICAL SANS-SERIF BOLD SMALL BETA
- U+1D791 𝞑 MATHEMATICAL SANS-SERIF BOLD ITALIC CAPITAL BETA
- U+1D7AB 𝞫 MATHEMATICAL SANS-SERIF BOLD ITALIC SMALL BETA
References
[edit]- ^ "UN Romanization of Greek for Geographical Names (1987)". www.eki.ee. Retrieved 2022-11-13.
- ^ "Pronouncing the Greek Alphabet". ThoughtCo. Retrieved 2022-11-13.
- ^ Jeffery, Lilian Hamilton (1961). The Local Scripts of Archaic Greece. Oxford University Press. p. 23.
- ^ Rock and Ice (3 October 2016). "Rock & Ice – Climbing Terminology".
- ^ Hawley, P. H.; Little, Todd D.; Card, Noel A. (January 2008). "The myth of the alpha male: A new look at dominance-related beliefs and behaviors among adolescent males and females". International Journal of Behavioral Development. 32 (1): 76–88. doi:10.1177/0165025407084054. S2CID 145156929.
- ^ Hosie, Rachel (9 May 2017). "The Myth of the Alpha Male". The Independent.
- ^ Jones, Callum; Trott, Verity; Wright, Scott (2020). "Sluts and soyboys: MGTOW and the production of misogynistic online harassment". New Media & Society. 22 (10): 1903–1921. doi:10.1177/1461444819887141. ISSN 1461-4448. S2CID 210530415.
- ^ Nicholas, Lucy; Agius, Christine (2018). The Persistence of Global Masculinism: Discourse, Gender and Neo-Colonial Re-Articulations of Violence. Cham, Switzerland: Palgrave Macmillan. doi:10.1007/978-3-319-68360-7. ISBN 978-3-319-68359-1. LCCN 2017954971. Archived from the original on 2020-08-11. Retrieved 2020-07-17.
- ^ Haralambous, Yannis (1999). "From Unicode to typography, a case study: the Greek script" (PDF). p. 7. Archived from the original (PDF) on 2011-06-15.
- ^ Aguilar Ruiz, Manuel José (2013). ""Las normas ortográficas y ortotipográficas de la nueva Ortografía de la lengua española (2010) aplicadas a las publicaciones biomédicas en español: una visión de conjunto" (PDF). Panace@. 14 (37): 104.