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Min

Min (Chinese: 閩; : Mǐn) was one of the Ten Kingdoms, a short-lived independent polity in southern that existed from 909 to 945 during the Five Dynasties and Ten Kingdoms period of fragmentation following the dynasty's collapse. Centered in the mountainous coastal region of modern province with its capital near present-day , the kingdom was founded by the warlord Wang Shenzhi, who was initially appointed by the Tang court as a local but declared after the dynasty's fall. Under the Wang family rulers, Min emphasized maritime commerce, leveraging its southeastern ports for trade with and , which fueled economic prosperity through exports of , , and timber. The kingdom's defining characteristics included strong patronage of , with rulers constructing temples and supporting monastic communities that preserved cultural and artistic traditions amid national disunity. Notable achievements encompassed administrative stability relative to contemporaneous states, agricultural advancements in rice cultivation suited to the , and the minting of coinage that circulated regionally. However, internal conflicts, including succession disputes and factional rebellions, weakened Min; by 943, it fragmented into rival principalities, leading to its conquest by the expanding kingdom in 945. Min's legacy endures in the distinct cultural identity of , influencing local dialects, architecture, and the historical roots of language varieties spoken by millions today.

Geographical locations

Rivers

The Min River (闽江; Mǐnjiāng) in Province, southeastern , is the province's largest river, with a length of 577 kilometers and a covering 60,922 square kilometers. It originates from multiple headstreams in the near the Fujian-Jiangxi border and flows generally eastward, branching into the Minjiang and Futianxi near Nanping before reaching its mouth at the in , where it supports significant port activity and inland navigation. The river's watershed sustains agriculture, generation, and urban centers, though it has experienced flooding risks mitigated by reservoirs constructed since the mid-20th century. Distinct from the Fujian river, the Min River (岷江; Mínjiāng) in central Province flows 735 kilometers as a major tributary of the upper River, joining it at Yibin. Originating on the near Songpan County, it descends through mountainous terrain, powering ancient irrigation systems like the complex built in 256 BCE, which diverts water via a fish-mouth weir to irrigate over 5,000 square kilometers of farmland. The river's steep gradients facilitate but contribute to seismic vulnerabilities, as evidenced by earthquake-induced landslides altering its course historically. No other major rivers worldwide bear the exact name "Min," though transliterations like the Minho River in Iberia derive from unrelated etymologies. Both Chinese Min Rivers hold hydrological significance independent of cultural nomenclature, with the Fujian variant etymologically linked to regional Min-speaking populations via ancient hydraulic engineering and settlement patterns.

Administrative divisions

Min County (Chinese: 岷县; pinyin: Mín Xiàn) is a county-level administrative division in southeastern Gansu Province, People's Republic of China, situated in the southern part of Dingxi City. It lies in a mountainous region at the upper reaches of the Bailong River, encompassing terrain influenced by the Min Mountains to the southwest. The county spans 3,578 square kilometers and recorded a population of 495,862 in 2019, reflecting a slight decline from prior years amid rural-urban migration trends observed in the province. Administratively, Min County is subdivided into 15 towns, 3 townships, 359 administrative villages, and 13 communities, supporting a mix of agricultural and small-scale industrial activities. These divisions facilitate local focused on farming, , and resource extraction, with the county serving as a peripheral unit within Dingxi's prefecture-level framework established under 's standardized administrative . No other major contemporary administrative divisions in bear the primary name "Min," though historical precedents exist in regions associated with ancient Min River systems.

People

Personal names

Min serves as a surname primarily in East Asian contexts. In , it derives from the 閔 (Mǐn), connoting '' or 'sorrow' in ancient usage, originating from the posthumous title of Min of , the 17th ruler of the state of during the (c. 1046–256 BCE). Genetic ancestry data indicates that bearers of the surname Min exhibit predominantly heritage, accounting for 61.6% of associated ancestry, reflecting its adoption and prevalence in Korean populations. Globally, approximately 98% of individuals with the surname reside in , with 62% in East Asia, underscoring its regional concentration. As a or name element, Min appears across cultures. In Korean, it functions as a standalone given name or syllable in compounds, often implying cleverness or quick-wittedness. Chinese variants include 敏 (mǐn), denoting "quick," "clever," or "agile," and 民 (mín), meaning "" or "citizens." In Burmese , Min translates to "" or "ruler," used as a denoting royalty or respect for males. Less commonly, in contexts such as , it arose as a from minne, signifying "beloved" or "sweetheart." These etymologies highlight Min's adaptability, though East Asian usages predominate in frequency and historical depth.

Notable individuals

Min Sun (c. 536–487 BC), courtesy name , was a disciple of from the state of during the . Renowned for his , he endured harsh treatment from his stepmother, who provided inadequate winter clothing for him while favoring his half-brothers; when his father discovered this upon hearing the sound of the whip during a hunt, the stepmother was reformed, and Sun cared for his parents until their deaths. praised him as having the virtue of "warmth" among his students and included him among Philosophers. Mindon Min (1808–1878), born Maung Lwin, served as the penultimate king of Burma's from 1853 to 1878. He ascended after deposing his half-brother amid internal strife and British threats following the Second Anglo-Burmese War; his reign emphasized religious patronage, including convening the Fifth Buddhist Council in 1871 to purify the , alongside administrative reforms such as establishing a postal system and minting standardized coinage. Despite these efforts, British annexation of Upper Burma occurred shortly after his death. Min Jin Lee (born November 11, 1968) is a -American author whose novel (2017) depicts four generations of a Korean family in from 1910 to 1980s, addressing themes of and ; it became a New York Times bestseller and finalist. Her debut (2007) explores immigrant experiences in . Lee has received fellowships from the Guggenheim Foundation and Radcliffe Institute. Min Yoon-gi (born March 9, 1993), known professionally as or , is a South Korean rapper, songwriter, and producer who debuted with in 2013 under (now HYBE). As the group's lead rapper, he has co-written and produced numerous tracks, including hits like "" from his 2020 , contributing to 's global success with over 40 billion streams by 2023.

Groups of people

The comprise subgroups of defined primarily by their use of Min varieties of the , totaling around 75 million speakers concentrated in southeastern , , and overseas communities. These groups emerged from historical migrations and settlements in province, where Min dialects developed distinctly from other due to geographic isolation and substrate influences from pre- populations. Unlike separate ethnic minorities, Min speakers are integrated within the Han majority, with cultural distinctions rooted in linguistic diversity rather than or self-identification as non-Han. The predominant subgroup consists of Southern Min speakers, exceeding 45 million individuals, who inhabit southern , eastern , , and extensive Southeast Asian enclaves formed through 19th- and 20th-century . In , they are commonly termed Hoklo, forming about 70% of the as of 2020 data, while in and , they constitute the core of Chinese communities, often retaining dialects alongside local languages. This subgroup's maritime trade history facilitated its spread, with varieties like and representing regional offshoots. Smaller, more localized subgroups include Eastern Min speakers in northern around , numbering in the low millions and characterized by urban concentrations; Pu-Xian Min speakers in and surrounding counties; and Central and Northern Min speakers in western prefectures like Nanping and , with populations typically under 2 million each per dialect cluster. Hainanese speakers on Hainan Island, a variant, total about 4 million native users amid broader shift. These inland groups exhibit less diaspora presence and greater assimilation to due to state policies promoting since the .

Computing and technology

Programming and mathematical functions

In mathematics, the minimum of a finite set A = \{a_1, a_2, \dots, a_n\} of real numbers, denoted \min A or \min_i a_i, is the smallest element a_k such that a_k \leq a_i for all i = 1, \dots, n. For two values, \min(x, y) yields the smaller one, assuming a total order like the standard ordering on reals. This concept extends to functions: the minimum value of a continuous function f on a closed interval [a, b] is the infimum attained at some point c \in [a, b], verifiable by the extreme value theorem. The notation \min traces to mid-19th-century developments in and , with early uses in Boole's 1847 work on logical expressions, though systematic study of extrema dates to Pierre de Fermat's 17th-century method for locating maxima and minima. Properties include (\min(x, x) = x), (\min(x, \min(y, z)) = \min(x, y, z)), and compatibility with order: if x \leq y, then \min(x, z) \leq \min(y, z). In optimization, minima classify as (smaller than nearby values) or (smallest overall), with algorithms like seeking them numerically. In programming, min functions compute the minimum over arguments or iterables, typically using pairwise comparisons for efficiency O(n) time on n elements. Python's built-in min(iterable) returns the smallest item, supporting keys for custom ordering (e.g., min(strings, key=len) for shortest string). C++ provides std::min in <algorithm>, handling two arguments or ranges via iterators, with overloads for floating-point and user-defined types via comparators. SQL's MIN() aggregate returns the smallest value in a column, as in SELECT MIN(salary) FROM employees. Implementations often derive from comparison operators (< or custom <=>) rather than dedicated hardware instructions, enabling generality across types like integers, floats, or strings under lexicographic order. Edge cases include empty inputs (raising errors) or ties (returning any minimum).

Software and browsers

Min is a free and open-source web browser designed for minimalism, speed, and user privacy, with its development beginning on April 13, 2016, via the first commit to its GitHub repository. It employs a Chromium-based rendering engine through the Electron framework, allowing it to leverage web technologies for its user interface while providing core browsing capabilities similar to Google Chrome but with a stripped-down experience. The browser automatically blocks most advertisements and trackers to enhance loading times and reduce data collection, and it integrates DuckDuckGo for search queries that include instant results from sources like Wikipedia entries and calculators without transmitting history to external servers. Key interface features include compact tabs that fade for inactive ones to maximize screen space, a focus mode to conceal distractions like the , and on-device across visited pages for quick retrieval without cloud dependency. Users can organize tabs into collapsible "tasks" or groups with keyboard shortcuts for efficient multitasking, and bookmarks support tagging with automatic suggestions for better categorization. Additional privacy-oriented elements encompass no built-in or history , optional dark theme support, and integration with external managers, though it lacks native extensions beyond basic ad-blocking. Min supports multiple platforms, including Windows, macOS (both and architectures), various distributions via , , or Arch packages, and in 32-bit and 64-bit variants, making it suitable for low-resource devices despite its foundation. Development remains active, with version 1.35.2 released on October 19, 2025, incorporating upgrades and interface refinements like hiding the menu by default. As of that release, the project has accumulated over 2,780 commits, reflecting ongoing enhancements focused on rather than feature bloat. While praised for its distraction-free design in user reviews and open-source communities, its dependency has drawn critiques for potentially higher memory usage compared to non-hybrid browsers, though blocking mechanisms mitigate some performance overhead.

Languages

Chinese dialects

The Min varieties form a primary of the , exhibiting phonological, lexical, and syntactic features that distinguish them markedly from and other northern varieties, with often low or absent across subgroups. These varieties evolved in relative isolation in southeastern , particularly Fujian Province, and spread to and Southeast Asian diaspora communities through migration waves starting in the 17th century. Approximately 75 million people speak Min varieties natively, concentrated in coastal Fujian, eastern , Hainan, and , with significant populations in , , , and the . Min is conventionally subdivided into six to nine subgroups based on isoglosses in and , including (centered in ), (centered in , encompassing and ), Central Min, Eastern Min (such as Pu-Xian), and minor groups like Qiongwen in ; these divisions reflect geographic clustering and limited intelligibility, with alone accounting for over 40 million speakers in and . , the most expansive subgroup, features conservative retentions such as multiple series of initial stops and affricates, alongside complex rules that alter citation tones in . , by contrast, preserves distinct nasal initials and fewer mergers in finals compared to reflexes in other Sinitic branches. Archaeolinguistic evidence, including substrate influences from pre-Sinitic languages in the , indicates that proto-Min diverged from the common Sinitic prior to the period, likely during the (25–220 ), as evidenced by retained Proto-Sinitic *s- prefixes and unmerged dentals not innovated in northern varieties. This early split, predating the rhyme dictionary's standardization (601 ), allowed Min to conserve archaisms like sesquisyllabic morphese structures and non-palatalized velars, though contact with and Hakka varieties introduced later borrowings. efforts, such as for developed by missionaries in the 19th century, have facilitated literacy in , where speakers number around 70% of the population as of 2020 surveys. Despite official promotion of in the since the 1950s, varieties persist in daily use and media, with dominating Fujianese opera (Min opera) traditions dating to the (1368–1644); however, intergenerational transmission faces decline in urban areas due to policies favoring Putonghua, as documented in 2010 census data showing reduced fluency among youth under 30 in . Overseas, Hokkien-influenced serves as a among Chinese communities in and , preserving dialectal like the 19th-century Amoy vernacular texts.

Other linguistic terms

In Biblical Hebrew, the noun min (מִין) refers to "kind," "sort," or "species," appearing 31 times in the Old Testament, notably in Genesis 1 to describe reproduction "after its kind" (e.g., plants and animals propagating within fixed categories). This term emphasizes categorical distinctions without implying modern biological species concepts, as its semantic range includes broader groupings like types or classes. The preposition min (מִן) in , often proclitic as mi- or me-, conveys "from," "out of," or "than," marking origins, separation, partitive senses, or comparisons; it appears over 500 times, with its full form predominant before consonants and reduced before vowels or certain gutturals, reflecting phonological rules. In , the preposition min (مِنْ) similarly denotes "from," indicating spatial/temporal origins, partitives ("some of"), or ablative separation, as in min al-bayt ("from the house"); it governs the and assimilates in pronunciation before sun letters (e.g., minn before nūn). In , min functions dually: as a negative imperative particle (e.g., prohibiting actions) or an epistemic expressing speaker commitment to a proposition's truth, often implying positive or (e.g., min eíse áxristos "you can't be useless," asserted as fact). This usage, distinct from its negative role, highlights and speaker attitude in declarative contexts.
also appears as a historical possessive pronoun form in , deriving from Proto-West Germanic mīn ("my/mine"), preserved in min and Scots min, denoting ownership before nouns (e.g., min hous "my house"), with the -n retained unlike my.

Measures

Units of time

The minute (symbol: min) is a equal to 60 seconds. In the (SI), the minute is accepted for use alongside the base unit of time, the second (s), with the exact relation defined as 1 min = 60 s. This unit facilitates practical measurements in everyday and scientific contexts, though the second—defined as the duration of 9,192,631,770 periods of radiation corresponding to the transition between two hyperfine levels of the cesium-133 atom—serves as the fundamental SI standard. The division of the hour into traces to the ancient Babylonian (base-60) numbering system, which influenced and around 2000 BCE. Babylonians subdivided the day into 24 hours, each hour into , and each minute into 60 seconds for computational convenience, as 60 is highly divisible by many integers (1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30). This system persisted through and medieval European adoption, with mechanical clocks from the onward standardizing minute-based timekeeping in . Etymologically, "minute" derives from the Latin pars minuta prima, meaning "first small part," referring to the initial subdivision of the hour into sixtieths, as opposed to the "second small part" for seconds. The abbreviation "min" follows SI conventions for non-SI units permitted in technical use, avoiding ambiguity with other terms like "m" for meter. In modern applications, such as physics and engineering, the minute remains common for intervals like reaction times or processing speeds, though precision demands often revert to seconds or milliseconds.

Mathematical and statistical concepts

In mathematics, the minimum of a finite set A of real numbers, denoted \min(A), is the element m \in A such that m \leq x for all x \in A. For a function f: D \to \mathbb{R} defined on a domain D, an absolute minimum occurs at a point c \in D where f(c) \leq f(x) for all x \in D, while a local minimum at c satisfies f(c) \leq f(x) for all x in some neighborhood of c. These concepts are fundamental in optimization and analysis, where critical points—often found by setting the derivative f'(x) = 0—are candidates for local minima, subject to second-derivative tests or boundary evaluations for confirmation. The notation \min extends to pairwise comparisons, as in \min(x, y), which returns the smaller of two values, and generalizes to infima in partially ordered sets or extended reals, though for finite sets of reals, it coincides with the least element. In , minima of functions f(x_1, \dots, x_n) are identified via partial derivatives equaling zero at interior critical points, with the determining the nature (positive definite for local minima). In statistics, the minimum of a sample X_1, \dots, X_n from a continuous distribution with cumulative distribution function (CDF) F and probability density function (PDF) f is the first order statistic X_{(1)} = \min\{X_1, \dots, X_n\}. Its CDF is P(X_{(1)} \leq x) = 1 - [1 - F(x)]^n, derived from the complement event that all observations exceed x, and its PDF is f_{X_{(1)}}(x) = n [1 - F(x)]^{n-1} f(x). This distribution is pivotal in extreme value theory, reliability analysis (e.g., time to first failure in parallel systems), and non-parametric inference, where the minimum's expectation E[X_{(1)}] = \int_0^\infty [1 - F(x)]^n \, dx (for positive supports) quantifies tail behavior. For discrete distributions, the minimum's probability mass function follows from permutations of orderings, though computational challenges arise for large n.

Other measurements

The minim (abbreviated min) is a in the and U.S. customary systems, primarily employed in and for dispensing small quantities of liquids. It equals one-sixtieth (1/60) of a dram and approximates the volume of a single , with the minim measuring about 0.0592 milliliters and the U.S. minim measuring approximately 0.0616 milliliters. This unit originated in apothecaries' measures and persists in certain pharmaceutical contexts despite the broader adoption of metric standards.

Mythology and religion

Ancient deities

Min was an ancient embodying , male potency, and agricultural renewal, with his cult originating in the predynastic period during the second half of the fourth millennium BCE. Archaeological evidence includes colossal limestone statues from Coptos (modern Qift), approximately 4 meters tall and dating to circa 3300 BCE, representing some of the earliest large-scale anthropomorphic figures in . His worship expanded during the Early Dynastic period (circa 3100–2700 BCE) and persisted into the Ptolemaic era, underscoring his role in ensuring reproduction and abundance in both human and natural cycles. Iconographically, Min appears as a mummiform male figure with black skin denoting fertile , an erect prominently displayed to symbolize generative power, and a headdress featuring two upright feathers akin to those of . He is often shown standing, grasping his with one hand while holding a in the other, occasionally with a barbed or stalk, elements tied to his attributes of and . These depictions, found in tombs, temples, and stelae such as one from pairing him with the goddess Qadesh, emphasize phallic potency and ritual masturbation as metaphors for cosmic creation. Principal cult centers were Coptos in the 5th Upper Egyptian nome and Panopolis () in the 9th, where Min served as patron of desert caravans, mining operations in the Eastern Desert, and royal sed festivals for pharaonic rejuvenation. Worship practices featured the multiday "Festival of the Departure of Min" during harvest seasons, involving processions of his barque-mounted statue, offerings of (revered for its phallic form and semen-like sap), and pole-climbing contests evoking and ascent. These rites, documented at under (reigned circa 1186–1155 BCE), integrated public displays of sexuality to invoke prosperity, with sacred days aligned to the last lunar day and the fifth month of Tybi. Min underwent with as "Min-Horus" by the and with as "Amun-Min" or Kamutef ("Bull of his Mother") in the New Kingdom, portraying him as a self-begotten force in renewal myths akin to . References in the and predynastic artifacts excavated by further confirm his antiquity and integration into state religion, with no evidence of decline until .

Other uses

Abbreviations and etymology

"Min" serves as an abbreviation for several terms in English. It commonly denotes "minute," referring to a equivalent to 60 seconds or one-sixtieth of an hour. It also abbreviates "minimum," indicating the lowest amount, , or possible. Additional meanings include "" or "," often in governmental or ecclesiastical contexts, as well as "" in legal or musical senses, and "minim" in for a . The etymological root underlying many "min"-derived terms traces to Latin minus, meaning "less," which forms the basis for words signifying smallness or reduction. For instance, "minimum" originates from Latin minimum, the neuter form of minimus ("smallest" or "least"), entering English in the 17th century to describe the smallest portion or lowest value. Similarly, "minute" as a time unit derives from Latin minuta, a diminutive of minutus ("small"), reflecting its division of the hour into smaller parts, with usage documented from the late 14th century. This Latin root extends to Proto-Indo-European mei-, connoting "small," influencing cognates across Indo-European languages.

Miscellaneous references

The Min system refers to a set of three proteins—MinC, MinD, and MinE—that regulate the positioning of the division septum in rod-shaped bacteria such as Escherichia coli and Bacillus subtilis. MinC acts as an inhibitor of FtsZ ring assembly, the initial step in cytokinesis; MinD binds to the cell membrane and recruits MinC; while MinE drives oscillatory dynamics by displacing MinD from the membrane, creating a spatiotemporal gradient where inhibitor concentration is minimized at mid-cell. This mechanism prevents erroneous division at cell poles, ensuring symmetric binary fission and proper chromosome segregation, with disruptions leading to minicell production—small, anucleate daughter cells. The system's self-organizing behavior, involving ATP-dependent pole-to-pole oscillations occurring every 1–2 minutes, exemplifies biochemical pattern formation without requiring DNA-based spatial cues. Experimental evidence from fluorescent protein fusions and mutants confirms its role, conserved across many Gram-negative and Gram-positive bacteria but absent in spherical species like cocci.

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