In axiomatic set theory, the gimel function is the following function mapping cardinal numbers to cardinal numbers:
where cf denotes the cofinality function; the gimel function is used for studying the continuum function and the cardinal exponentiation function. The symbol is a serif form of the Hebrew letter gimel.
theory, the gimelfunction is the following function mapping cardinal numbers to cardinal numbers: ℷ : κ ↦ κ c f ( κ ) {\displaystyle \gimel \colon \kappa...
cardinality of S in general, but all its elements do.) Beth number Gimelfunction Regular cardinal Transfinite number Ordinal number In older mathematics...
\beth _{1}} is the cardinality of the continuum. Very occasionally, a gimelfunction is used in cardinal notation. The Unicode Hebrew block extends from...
number Easton's theorem Gimelfunction Cody, Brent; Magidor, Menachem (February 2014). "On supercompactness and the continuum function". Annals of Pure and...
left or the right, one may derive a variant Batgash (named for Bet–Taw–Gimel–Shin) or Ashbar (for Aleph–Shin–Bet–Reish). Either alternative mapping leaves...
the /g/ phoneme in the Canaanite language, and as such is cognate with gimel ג of the Hebrew alphabet. Based on its name, the letter has been interpreted...
in numbers would be the future date 7754). Zayin, in addition to ʻayin, gimel, teth, nun, shin, and tzadi, is one of the seven letters which receive a...
be used to depict both characters. ℷ: U+2137 'gimel symbol' is not the same as U+05D2 'Hebrew letter gimel', although the same glyph could be used...
{\displaystyle \kappa ^{++}} ) also imply SCH. Thomas Jech: Properties of the gimelfunction and a classification of singular cardinals, Fundamenta Mathematicae...
letter yogh (Ȝȝ), which developed from the letter G, ultimately from Semitic gimel. Yogh could also represent other sounds, such as /ɣ/, which came to be written...
consonants that are pronounced identically in other dialects (for example gimel and "ghimel".) These pronunciations are still used in synagogue ritual and...
– News, current affairs and sports, with news on the hour in Hebrew Kan Gimel [he] – Israeli music, Hebrew news at the top of most hours. Makan [he],...
the six letters that can receive a dagesh kal. The other five are bet, gimel, daleth, pe, and tav (see Hebrew alphabet for more about these letters)...
the ancient Guanches of the Canary Islands, also used throwing batons. Gimel, the third letter of many Semitic alphabets, may have been named after a...
Phoenician, Hebrew and Semitic proto-alphabets: specifically, aleph, bet, gimel, dalet. According to the formulations of Peter T. Daniels, abjads differ...
hard or soft sound depending on whether or not they include a dagesh: bet, gimel, dalet, kaf, pe, on the one hand; kaf, pe, resh, tav, on the other), and...
a Geresh can be added immediately to the left of a gimel (i.e., ⟨ג׳⟩) to indicate that the gimel represents an affricate /dʒ/). English orthography G...
lene, weak/light dagesh) may be placed inside the consonants ב bet, ג gimel, ד dalet, כ kaf, פ pe and ת tav. They each have two sounds, the original...
maintained or modified slightly to fit Greek phonology; thus, ʾaleph, bet, gimel became alpha, beta, gamma. The Greek names of the following letters are...
Therefore, the value of aleph is 1, the value of bet is 1+2=3, the value of gimel is 1+2+3=6, etc. It is also known as mispar meshulash (triangular or tripled...
in comparison with its initial and medial forms. The definite status or function of diacritics was not established prior to classical Mongolian. As such...
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