recursal/Fanatic-Fandom huggingface dataset:
Boogol

The **boogol** is equal to \(\{10,10,100\}\) in BEAF. It is equal to \(10\underbrace{\uparrow\uparrow\cdots\uparrow\uparrow}\_{100}10 = 10 \uparrow^{100} 10\) in up-arrow notation. The term was coined by Jonathan Bowers.

This number is equal to \(10[0,1]100\) in UNAN, and Username5243 calls this number a **kiloogol** (formerly **megoogol**).

Aarex Tiaokhiao called this number **gurea** or **golsol** and it is equal to s(10,100,1,2) = s(10,10,100,1) = s(10,10,100) in strong array notation.

## Etymology

The name of the number is based on Latin prefix "**bi-**" and the number "googol".

## Computation

Boogol can be computed in the following process:

* \(a\_1 = 10\)
* \(a\_2 = \{10,10,99\}\) - Boogolchunk
* \(a\_3 = \{10,a\_2,99\}\)
* \(a\_4 = \{10,a\_3,99\}\)
* etc.
* Boogol is equal to \(a\_{10}\).

## Approximations in other notations

 Graham Array Notation
 Hyperfactorial array notation
 Slow-growing hierarchy | \(g\_{\varphi(99,0)}(100)\)

## References

1. ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved on January 1, 2013.
2. ↑ Username5243. shortened list - My Large Numbers. Retrieved on March 1, 2017.
3. ↑ Tiaokhiao, Aarex. Aarex's Googology - SAN. Retrieved on May 1, 2020.
4. ↑ Tiaokhiao, Aarex. Part 1 (LAN) - Aarex's Googology (archived). Retrieved on October 29, 2020.
Brother

A **brother** (pl.: **brothers** or **brethren**) is a man or boy who shares one or more parents with another; a male sibling. The female counterpart is a sister. Although the term typically refers to a familial relationship, it is sometimes used endearingly to refer to non-familial relationships. A full brother is a first degree relative.
BraveStarr

***BraveStarr*** is an American Space Western animated series that aired 65 episodes from September 1987 to February 1988 in syndication. The show was created a year after Mattel had released a line of action figures. *BraveStarr* was the last animated series produced by Filmation and Group W Productions before Filmation shut down in 1989. Reruns of the show aired on Qubo Night Owl from 2010 to 2013, and on the Retro Television Network from 2010 to 2015.
Braceface

***Braceface*** is an animated television series produced by Nelvana Limited and Jade Animation (Shenzhen) Company, and was produced in association with Teletoon and Fox Family Channel for the first season. The show features actress Alicia Silverstone from the movie *Clueless* (who also voiced the titular character for the first two seasons) serving as executive producer. The episodes focus on the misadventures of Sharon Spitz, a high school student who often struggles with an unusual ability occurring in her braces, which often creates mishaps in her daily life. Although considered to be a trademark feature in the series, later episodes began to drop this narrative in favor of tackling real-world issues.
Cadexcalsal

**Cadexcalsal**, also known as **base 1704** or **Octricalsal**, is a numeral system with 1704 as its base.

## Character list

* Page 1: 0-539
* Page 2: 540-1079
* Page 3: 1080-1619

## Cyclic numbers

* The prime factorization of 1704 is  ×  × .
* It has 560 totatives.
* If *k*≥70, then *nk*+70 ends with the same digit as *nk*.

## Related numeral systems

* Tetravigesimal (base 24)
* Zencalsal (base 852)
Budgie the Little Helicopter

***Budgie the Little Helicopter*** is a British animated television series, relating to a fictional helicopter and his friends, based on a series of children's books. The characters were based on the books by Sarah Ferguson, Duchess of York. The show was co-produced by Fred Wolf Films Dublin, The Sleepy Kids Company and Sarah Ferguson, Duchess of York for HTV West and Scottish Television, and originally aired on British television in 1994 on CITV, where it ran for 39 episodes. A range of videos, books, and toys were released under the Budgie label.

The show aired in the United States on FOX as part of the Fox Cubhouse programming block from 1995 to 1996, and moved to the Fox Family Channel in 1998 as part of It's Itsy Bitsy Time. The series was redubbed with North American voices for It’s Itsy Bitsy Time. In Canada, it also aired on Family Channel from 1994-97 and on Treehouse TV from 1999-2003.

On release of the very first book, Sarah was accused by the media of copying the idea for the series from an out-of-print 1960 book Hector the Helicopter, by A.W. Baldwin, which she denied.

The series is legally available on Ferguson's official YouTube channel.
Bunuba language

**Bunuba** (Bunaba, Bunapa, Punuba, Punapa, Punaba, Buniba) is an Australian Aboriginal language spoken by some 41 older Bunuba adults, most of whom live in Junjuwa, an Aboriginal community in Fitzroy Crossing in Western Australia. Bunuba is not related to the Pama-Nyungan language family that spans the majority of Australia; however, it is a relative of Guniyandi. Both are subgroups of the Bunuban language family. Bunuba consists of two dialects, 'light' and 'heavy' Bunuba.

Due to the growing concern of their language becoming extinct, the elders to maintain the use of Bunuba by passing on stories to younger community members around campfires at night. This is a way for Bunuba elders to prevent the extinction of their language, by passing it down through generations. Language maintenance and revival has increased during the later decades of the 20th century and the early 21st century due to the growing documentation of Bunuba language, and the production of resources that have been written and used by Bunuba community members.

## Phonology

### Vowels

Bunuba has only three basic vowel phonemes: /i, a, u/. /a/ is the only vowel demonstrating contrastive vowel length.

Vowels
 Low
Bootrol

**Bootrol** is equal to \(\{10,10,100 (1) 3\}\) in BEAF. The term was coined by Jonathan Bowers.

## Etymology

The name of this number is based on Latin prefix "**bi-**" and the number "gootrol".

## Approximations and exact values in other notations

 Cascading-E notation
 Hyperfactorial Array Notation
 Slow-growing hierarchy | \(g\_{\vartheta((\Omega^\Omega)2+\omega)}(100)\)

## References

1. ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved on January 1, 2013.
Broadcast syndication

**Broadcast syndication** is the practice of content owners leasing the right to broadcast television shows and radio programs to multiple television stations and radio stations, without going through a broadcast network. It is common in the United States where broadcast programming is scheduled by television networks with local independent affiliates. Syndication is less widespread in the rest of the world, as most countries have centralized networks or television stations without local affiliates. Shows can be syndicated internationally, although this is less common.

Three common types of syndication are: first-run syndication, which is programming that is broadcast for the first time as a syndicated show and is made specifically to sell directly into syndication; off-network syndication (colloquially called a "rerun"), which is the licensing of a program whose first airing was on network TV or in some cases, first-run syndication; and public broadcasting syndication.
CNN/Logos

**CNN** is an American-based global news television channel founded by Ted Turner in 1980. It is now owned by Warner Bros. Discovery.

## 1980–1984

CNN launched on June 1, 1980. This logo, designed by Anthony Guy Bost, has been the only one used by the channel since then (with very small changes along the way).

## 1984–present

### 1984–2014

The extension of the lower part of the C that connects with the first N was shortened in 1984.

### 2014–present

The logo was redesigned in 2014, with the color changed to a darker shade of red and the top of the C slightly shortened.
Burmese alphabet

The **Burmese alphabet** (Burmese: မြန်မာအက္ခရာ *myanma akkha.ya*, pronounced [mjəmà ʔɛʔkʰəjà]) is an abugida used for writing Burmese. It is ultimately adapted from a Brahmic script, either the Kadamba or Pallava alphabet of South India. The Burmese alphabet is also used for the liturgical languages of Pali and Sanskrit. In recent decades, other, related alphabets, such as Shan and modern Mon, have been restructured according to the standard of the Burmese alphabet (see Mon–Burmese script.)

Burmese is written from left to right and requires no spaces between words, although modern writing usually contains spaces after each clause to enhance readability and to avoid grammar ambiguity. There are several systems of transliteration into the Latin alphabet; for this article, the MLC Transcription System is used.
Butterfinger

**Butterfinger** is a candy bar manufactured by the Ferrara Candy Company, a subsidiary of Ferrero. It consists of a layered crisp peanut butter core covered in a chocolatey coating. It was invented by Otto Schnering of the Curtiss Candy Company in 1923. The name was chosen by a popularity contest.

In its early years, the Butterfinger was promoted by Shirley Temple in the 1934 film *Baby Take a Bow*. It was advertised by characters from *The Simpsons* (most notably Bart Simpson) from 1988 to 2001.
Bobobobs

**Bobobobs** (/ˌboʊboʊˈbɒbz/ *BOH-boh-BOBZ*) is a series of fictional children's stories created by Henk Zwart and Nerida Zwart. The Bobobobs consists of several illustrated books and comics, and an animation children's television series produced in 1988. The Bobobobs stories were originally published by Standaard Uitgeverij in Belgium, with later animation and merchandising produced by BRB Internacional in Spain.
CNN

The **Cable News Network** (**CNN**) is a multinational news channel and website headquartered in Atlanta, Georgia, U.S. Founded in 1980 by American media proprietor Ted Turner and Reese Schonfeld as a 24-hour cable news channel, and presently owned by the Manhattan-based media conglomerate Warner Bros. Discovery (WBD), CNN was the first television channel to provide 24-hour news coverage and the first all-news television channel in the United States.

As of February 2023, CNN had 80 million television households as subscribers in the US. According to Nielsen, in June 2021 CNN ranked third in viewership among cable news networks, behind Fox News and MSNBC, averaging 580,000 viewers throughout the day, down 49% from a year earlier, amid sharp declines in viewers across all cable news networks. While CNN ranked 14th among all basic cable networks in 2019, then jumped to 7th during a major surge for the three largest cable news networks (completing a rankings streak of Fox News at number 5 and MSNBC at number 6 for that year), it settled back to number 11 in 2021 and had further declined to number 21 in 2022.

Globally, CNN programming has aired through CNN International, seen by viewers in over 212 countries and territories; since May 2019, however, the US domestic version has absorbed international news coverage in order to reduce programming costs. The American version, sometimes referred to as CNN (US), is also available in Canada, some islands of the Caribbean and in Japan, where it was first broadcast on CNNj in 2003, with simultaneous translation in Japanese.
Bobby's World

***Bobby's World*** (originally known as ***The World According to Bobby***) is an American animated comedy children's television series that aired on Fox Kids from September 8, 1990, to February 23, 1998. The show was created by Canadian actor/comedian Howie Mandel, who also performs the voices of both Bobby and his father Howard Generic.

It was produced by Film Roman for Mandel's company Alevy Productions and Fox Children's Productions in association with 20th Television Animation and Saban International. The theme song for *Bobby's World* was composed by John Tesh and Michael Hanna.
Boplexulus

**View full site for showing MathJax equation**

The **boplexulus** is equal to {10,100 ((2)1) 2} = 1001001002 & 10 in BEAF.  The term was coined by XRQ CORPORATION. It is comparable to graltothol.

## Etymology

The name of this number is based on Latin prefix **"bi-"** and the number "goplexulus".

## Approximations

 Slow-growing hierarchy | \(g\_{\vartheta(\Omega^{\Omega^{\Omega^2\omega}})}(100)\)
Bud Light

Introduced in 1982 as **Budweiser Light**, and known exclusively as **Bud Light** by c. late 1984, it is Budweiser's flagship low-calorie beverage, advertised as a light beer with 4.2% ABV and 110 calories per 12 US fl oz (355 mL) serving (1,300 kJ/L).

Launching at Super Bowl XIX in 1985, the "Gimme a Light" ad campaign propelled, by 1994, the brand beyond Miller Lite, the original category definer.

From 1993 to 1998, Bud Light aired 30-second commercials featuring Rob and Laura from the CBS series *The Dick Van Dyke Show*. The Bud Light King and Queen along with the Bud Knight characters were later created for commercials.
Brush

A **brush** is a common tool with bristles, wire or other filaments. It generally consists of a handle or block to which filaments are affixed in either a parallel or perpendicular orientation, depending on the way the brush is to be gripped during use. The material of both the block and bristles or filaments is chosen to withstand hazards of its intended use, such as corrosive chemicals, heat or abrasion. It is used for cleaning, grooming hair, make up, painting, surface finishing and for many other purposes. It is one of the most basic and versatile tools in use today, and the average household may contain several dozen varieties.
Butane

**Butane** (/ˈbjuːteɪn/) or ***n*-butane** is an alkane with the formula C4H10. Butane is a highly flammable, colorless, easily liquefied gas that quickly vaporizes at room temperature and pressure. The name butane comes from the root but- (from butyric acid, named after the Greek word for butter) and the suffix -ane. It was discovered in crude petroleum in 1864 by Edmund Ronalds, who was the first to describe its properties, and commercialized by Walter O. Snelling in early 1910s.

Butane is one of a group of liquefied petroleum gases (LP gases). The others include propane, propylene, butadiene, butylene, isobutylene, and mixtures thereof. Butane burns more cleanly than both gasoline and coal.
Calumithal

**Calumithal**, also known as **base 2132**, is a numeral system with 2132 as its base.

## Character list

* Page 1: 0-539
* Page 2: 540-1079
* Page 3: 1080-1619

## Cyclic numbers

* The prime factorization of 2132 is  ×  × .
* It has 960 totatives.
* If *k*≥120, then *nk*+120 ends with the same digit as *nk*.

## Related numeral systems

* Cadithal (base 52)
* Sexagesimal (base 60)
* Calumal (base 164)
* Lumithal (base 533)
Bukuwaha

**View full site for showing MathJax equation**

The **bukuwaha** is equal to or \(\{L,X^X\}\_{100,100}\) in BEAF. Since BEAF is ill-defined past tetrational arrays, this number is also ill-defined.

 Approximations

Since this number is ill-defined, any comparison to a well-defined number is mathematically meaningless. Therefore we only give a comparison to an ill-defined number based on an uncertain belief by some Googology wiki user.

## References

1. ↑ Bowers, Jonathan. Infinity Scrapers. Retrieved on January 1, 2013.
Cadexarkal

**Cadexarkal**, also known as **base 1464**, is a numeral system with 1464 as its base.

## Character list

* Page 1: 0-539
* Page 2: 540-1079

## Cyclic numbers

* The prime factorization of 1464 is  ×  × .
* It has 480 totatives.
* If *k*≥60, then *nk*+60 ends with the same digit as *nk*.

## Related numeral systems

* Octrithal (base 312)
* Octarkal (base 488)
* Zenarkal (base 732)
Cadexcupal

**Cadexcupal**, also known as **base 2616**, is a numeral system with 2616 as its base.

## Character list

* Page 1: 0-539
* Page 2: 540-1079
* Page 3: 1080-1619
* Page 4: 1620-2159

## Cyclic numbers

* The prime factorization of 2616 is  ×  × .
* It has 864 totatives.
* If *k*≥108, then *nk*+108 ends with the same digit as *nk*.

## Related numeral systems

* Zencupal (base 1308)
* Cadexscandal (base 1752)
CVS Pharmacy

**CVS Pharmacy, Inc.** is an American retail corporation. A subsidiary of CVS Health, it is headquartered in Woonsocket, Rhode Island. It was also known as, and originally named, the **Consumer Value Store** and was founded in Lowell, Massachusetts, in 1963.

The chain was owned by its original holding company Melville Corporation from its inception until its current parent company (CVS Health) was spun off into its own company in 1996. CVS Pharmacy is currently the largest pharmacy chain in the United States by number of locations (over 9,600 as of 2016) and total prescription revenue. Its parent company ranks as the fifth largest U.S. corporation by FY2020 revenues in the *Fortune* 500. The parent company of CVS Pharmacy's leading competitor (Walgreens) ranked 19th for the same time period. CVS sells prescription drugs and a wide assortment of general merchandise, including over-the-counter drugs, beauty products and cosmetics, film and photo finishing services, seasonal merchandise, greeting cards, and convenience foods through their CVS Pharmacy and Longs Drugs retail stores and online through CVS.com. It also provides healthcare services through its more than 1,100 MinuteClinic medical clinics as well as their Diabetes Care Centers. Most of these clinics are located within or outside CVS stores.
Bright Horizons

**Bright Horizons** is a United States–based child-care provider and is the largest provider of employer-sponsored child care. It also provides back-up child care and elder care, tuition program management, education advising, and student loan repayment programs. It is headquartered in Newton, Massachusetts.
Notable acquisitions since 2006 include College Coach, EdAssist Solutions, EdLink, the nursery operators Kidsunlimited and Asquith Court and the childcare group Teddies Nurseries, Sittercity, an online marketplace for family solutions, and GP Strategies.
Calimero

***Calimero*** is an animated television series about a charming but hapless anthropomorphized chicken; the only black one in a family of yellow chickens. He wears half of his egg shell still on his head. Calimero originally appeared on the Italian television show *Carosello* on July 14, 1963, and soon became a popular icon in Italy.

The characters were created by the animation studio Organizzazione Pagot and originated as a series of animated advertisements for Miralanza AVA soap products shown throughout Italy. The creators of the main character were Nino Pagot, Toni Pagot and Ignazio Colnaghi. At the end of each episode, it turns out that Calimero is not actually black, but only very dirty, and becomes white after being washed by the advertised soap products.

The characters were later licensed in Japan as an anime series twice, titled *Calimero* (カリメロ, *Karimero*). The first was made by Toei Animation and ran from October 15, 1972, to September 30, 1975; the second, with new settings and characters, was made in 1992. Altogether, 99 Japanese episodes were made (47 in the 1972 Toei series, and 52 in the 1992 Toei series). The series mostly consists of the many adventures of Calimero and his friends as they solve mysteries and make documentaries. However, their adventures usually get them into quite a bit of trouble. The second series was never renewed for a second season. English dubbed versions for the first two anime series were never officially released, though dubbed pilot episodes do exist. However, the series did come out in other languages. The original 1970s shorts and the third CGI series were released in English, however. The first series was also broadcast on European networks such as TROS (The Netherlands), ZDF and RTL II (Germany) or TVE (Spain).

A third animation series about the character, in computer animation, premiered in TF1 in 2013. The production team includes France’s Gaumont Animation, rights owner Calidra, Italy’s Studio Campedelli and Japanese partners TV Tokyo and Kodansha. The series also aired on several other TV channels.
Boston

**Boston** (US: /ˈbɔːstən/), officially the **City of Boston**, is the capital and most populous city of the U.S. state of Massachusetts, and the cultural and financial center of New England in the Northeastern United States, with an area of 48.4 sq mi (125 km2) and a population of 675,647 in 2020. The Greater Boston metropolitan statistical area is the eleventh-largest in the country.

Boston is one of the United States's oldest municipalities. It was founded on the Shawmut Peninsula in 1630 by Puritan settlers from Boston, Lincolnshire. During the American Revolution, Boston was the location of several key events, including the Boston Massacre, the Boston Tea Party, the hanging of Paul Revere's lantern signal in Old North Church, the Battle of Bunker Hill, and the siege of Boston. Following American independence from Great Britain, the city continued to play an important role as a port, manufacturing hub, and center for education and culture. The city has expanded beyond the original peninsula through land reclamation and municipal annexation. It now attracts many tourists, with Faneuil Hall alone drawing more than 20 million visitors per year. Boston's many firsts include the United States' first public park (Boston Common, 1634), the first public school (Boston Latin School, 1635), the first subway system (Tremont Street subway, 1897), and the first large public library (Boston Public Library, 1848).

In the 21st century, Boston emerged as a global leader in higher education and academic research. Greater Boston's many colleges and universities include Harvard University and MIT, both located in neighboring Cambridge and both routinely included among the world's most highly ranked universities. The city is also a national leader in scientific research, law, medicine, engineering, and business. With nearly 5,000 startup companies, the city is considered a global pioneer in innovation and entrepreneurship, and more recently in artificial intelligence. Boston's economic base also includes finance, professional and business services, biotechnology, information technology, and government activities. Households in the city claim the highest average rate of philanthropy in the United States. Boston businesses and institutions rank among the top in the country for environmental sustainability and new investment.
Britannic

**Britannic** is a sans-serif typeface family that was sold in metal type by Stephenson Blake. It is a "modulated" or stressed sans-serif design, in which the vertical lines are clearly thicker than the horizontals. The Klingspor Museum reports that it was originally created by the Wagner & Schmidt foundry of Leipzig, Germany. In design it is intended for headings, advertisements and signs rather than continuous body text. Stephenson Blake advertised it as "just the right note for an advertising or display panel".

Since Stephenson Blake did not continue operations into digital fonts, a variety of digitisations of different weights and widths of Britannic have been released by different companies. Some releases include an all-capitals condensed weight. The bold weight, digitised by URW, is included with some Microsoft software such as Office. A wry commentary on the design, presumably by Microsoft's typography manager Robert Norton, adds:

> This interesting face always excites heated opinions. Some, like the writer, have always put Britannic Bold firmly in the category called 'Monumentally Overrated'. Others swear by it. In fact, a survey conducted at great expense (among three people) found that two out of three thought Britannic Bold was magnificent. And it can't be all bad, having started life at the renowned Stephenson Blake type foundry, and to have outlasted the same foundry's Rothbury, which to most people is probably indistinguishable...
>
>
Book

A **book** is a medium for recording information in the form of writing or images, typically composed of many pages (made of papyrus, parchment, vellum, or paper) bound together and protected by a cover. It can also be a handwritten or printed work of fiction or nonfiction, usually on sheets of paper fastened or bound together within covers. The technical term for this physical arrangement is *codex* (plural, *codices*). In the history of hand-held physical supports for extended written compositions or records, the codex replaces its predecessor, the scroll. A single sheet in a codex is a leaf and each side of a leaf is a page.

As an intellectual object, a book is prototypically a composition of such great length that it takes a considerable investment of time to compose and still considered as an investment of time to read. In a restricted sense, a book is a self-sufficient section or part of a longer composition, a usage reflecting that, in antiquity, long works had to be written on several scrolls and each scroll had to be identified by the book it contained. Each part of Aristotle's *Physics* is called a book. In an unrestricted sense, a book is the compositional whole of which such sections, whether called books or chapters or parts, are parts.

The intellectual content in a physical book need not be a composition, nor even be called a book. Books can consist only of drawings, engravings or photographs, crossword puzzles or cut-out dolls. In a physical book, the pages can be left blank or can feature an abstract set of lines to support entries, such as in an account book, appointment book, autograph book, notebook, diary or sketchbook. Some physical books are made with pages thick and sturdy enough to support other physical objects, like a scrapbook or photograph album. Books may be distributed in electronic form as ebooks and other formats.

Although in ordinary academic parlance a monograph is understood to be a specialist academic work, rather than a reference work on a scholarly subject, in library and information science *monograph* denotes more broadly any non-serial publication complete in one volume (book) or a finite number of volumes (even a novel like Proust's seven-volume *In Search of Lost Time*), in contrast to serial publications like a magazine, journal or newspaper. An avid reader or collector of books is a bibliophile or, colloquially, "bookworm". Books are traded at both regular stores and specialized bookstores, and people can read borrowed books, often for free, at libraries. Google has estimated that by 2010, approximately 130,000,000 titles had been published.

In some wealthier nations, the sale of printed books has decreased because of the increased usage of e-books. Although in most countries printed books continue to outsell their digital counterparts due to many people still preferring to read in a traditional way. The 21st century has also seen a rapid rise in the popularity of audiobooks, which are recordings of books being read aloud.
Brunei

**Brunei** (/bruːˈnaɪ/ ⓘ *broo-NY*, Malay: [brunaɪ] ⓘ), formally **Brunei Darussalam** (Malay: *Negara Brunei Darussalam*, Jawi: نݢارا بروني دارالسلام‎, lit. 'State of Brunei, the Abode of Peace'), is a country in Southeast Asia, situated on the northern coast of the island of Borneo. Apart from its coastline on the South China Sea, it is completely surrounded by the Malaysian state of Sarawak, with its territory bifurcated by the Sarawak district of Limbang. Brunei is the only sovereign state entirely on Borneo; the remainder of the island is divided between Malaysia and Indonesia. As of 2020 the country had a population of 460,345, of whom approximately 100,000 resided in the capital and largest city Bandar Seri Begawan. The government of Brunei is an absolute monarchy ruled by the Sultan of Brunei, and it implements a fusion of English common law and jurisprudence inspired by Islam, including sharia.

At the Bruneian Empire's peak during the reign of Sultan Bolkiah (1485–1528), the state is claimed to have had control over the most of Borneo, including modern-day Sarawak and Sabah, as well as the Sulu archipelago and the islands off the northwestern tip of Borneo. There are also claims to its historical control over Seludong, the site of the modern Philippine capital of Manila, but Southeast Asian scholars believe the name of the location in question is actually in reference to Mount Selurong, in Indonesia. The maritime state of Brunei was visited by the surviving crew of the Magellan Expedition in 1521, and in 1578 it fought against Spain in the Castilian War.

During the 19th century, the Bruneian Empire began to decline. The Sultanate ceded Sarawak (Kuching) to James Brooke and installed him as the White Rajah, and it ceded Sabah to the British North Borneo Chartered Company. In 1888, Brunei became a British protectorate and was assigned a British resident as colonial manager in 1906. After the Japanese occupation during World War II, a new constitution was written in 1959. In 1962, a small armed rebellion against the monarchy was ended with British assistance. The country gained its full independence from Britain on 1 January 1984.

Brunei has been led by Sultan Hassanal Bolkiah since 1967. The country's wealth derives from its extensive petroleum and natural gas fields. Economic growth during the 1990s and 2000s has transformed Brunei into an industrialised country, with the GDP increasing 56% between 1999 and 2008. Brunei has the second-highest Human Development Index among Southeast Asian states, trailing only Singapore. According to the International Monetary Fund (IMF), Brunei is ranked fifth in the world by gross domestic product per capita at purchasing power parity. The IMF estimated in 2011 that Brunei was one of two countries (the other being Libya) with a public debt to national GDP ratio of 0%.
Calibri

**Calibri** is a digital sans-serif typeface family in the humanist or modern style. It was designed by Luc(as) de Groot in 2002–2004 and released to the general public in 2007, with Microsoft Office 2007 and Windows Vista. In Office 2007, it replaced Times New Roman as the default typeface in Word and replaced Arial as the default in PowerPoint, Excel, Outlook, and WordPad. De Groot described its subtly rounded design as having "a warm and soft character".

Calibri is part of the ClearType Font Collection, a suite of fonts from various designers released with Windows Vista. All start with the letter *C* to reflect that they were designed to work well with Microsoft's ClearType text rendering system, a text rendering engine designed to make text clearer to read on liquid-crystal display monitors. The other fonts in the same group are Cambria, Candara, Consolas, Constantia and Corbel.
Boplapulus

**View full site for showing MathJax equation**

Not to be confused with bolapulus.
**Boplapulus** is equal to \(\lbrace10, 100 ((2)1) 2\rbrace \& 10\) using BEAF. This term was coined by YouTuber Douglas Shamlin Jr. It has boplexulus entries.

## Intended approximations

Intended approximations given with respect to the non-climbing method.

 Hardy hierarchy | \(H\_{\psi\_0(\Omega^{\Omega^{\Omega^{\Omega^{\Omega\omega}}}})}(100)\)

## References

1. ↑ D. Shamlin Jr., List of large numbers 2020 version (accessed 2021-01-22) [dead link]
2. ↑ Renewed, Douglas Shamlin Jr Number Ultimate List 2020 - Reupload (accessed 2022-01-28) [dead link]
Cake

**Cake** is a flour confection made from flour, sugar, and other ingredients and is usually baked. In their oldest forms, cakes were modifications of bread, but cakes now cover a wide range of preparations that can be simple or elaborate and which share features with desserts such as pastries, meringues, custards, and pies.

The most common ingredients include flour, sugar, eggs, fat (such as butter, oil, or margarine), a liquid, and a leavening agent, such as baking soda or baking powder. Common additional ingredients include dried, candied, or fresh fruit, nuts, cocoa, and extracts such as vanilla, with numerous substitutions for the primary ingredients. Cakes can also be filled with fruit preserves, nuts, or dessert sauces (like custard, jelly, cooked fruit, whipped cream, or syrups), iced with buttercream or other icings, and decorated with marzipan, piped borders, or candied fruit.

Cake is often served as a celebratory dish on ceremonial occasions, such as weddings, anniversaries, and birthdays. There are countless cake recipes; some are bread-like, some are rich and elaborate, and many are centuries old. Cake making is no longer a complicated procedure; while at one time considerable labor went into cake making (particularly the whisking of egg foams), baking equipment and directions have been simplified so that even the most amateur of cooks may bake a cake.
Bouncy ball

A **bouncy ball** or **rubber ball** is a spherical toy ball, usually fairly small, made of elastic material which allows it to bounce against hard surfaces. When thrown against a hard surface, bouncy balls retain their momentum and much of their kinetic energy (or, if dropped, convert much of their potential energy to kinetic energy). They can thus rebound with an appreciable fraction of their original force. Natural rubber originated in the Americas, and rubber balls were made before European contact, including for use in the Mesoamerican ballgame. Christopher Columbus witnessed Haitians playing with a rubber ball in 1495.
Cadefflumal

**Cadefflumal**, also known as **base 1148**, is a numeral system with 1148 as its base.

## Character list

* See below: 0-539
* See below: 540-1079

## Cyclic numbers

* The prime factorization of 1148 is  ×  × .
* It has 480 totatives.
* If *k*≥120, then *nk*+120 ends with the same digit as *nk*.

## Related numeral systems

* Zefflumal (base 574)
* Lumedithal (base 1066)
Blu-ray

**Blu-ray** (**Blu-ray Disc** or **BD**) is a digital optical disc data storage format designed to supersede the DVD format. It was invented and developed in 2005 and released worldwide on June 20, 2006, capable of storing several hours of high-definition video (HDTV 720p and 1080p). The main application of Blu-ray is as a medium for video material such as feature films and for the physical distribution of video games for the PlayStation 3, PlayStation 4, PlayStation 5, Xbox One, and Xbox Series X. The name refers to the blue laser (actually a violet laser) used to read the disc, which allows information to be stored at a greater density than is possible with the longer-wavelength red laser used for DVDs.

The polycarbonate disc is 12 centimetres (4+3⁄4 inches) in diameter and 1.2 millimetres (1⁄16 inch) thick, the same size as DVDs and CDs. Conventional (or "pre-BD-XL") Blu-ray Discs contain 25 GB per layer, with dual-layer discs (50 GB) being the industry standard for feature-length video discs. Triple-layer discs (100 GB) and quadruple-layer discs (128 GB) are available for *BD-XL* re-writer drives.

High-definition (HD) video may be stored on Blu-ray Discs with up to 1920 × 1080 pixel resolution, at 24& 50/60 progressive or 50/60 interlaced frames per second. DVD discs were limited to a maximum resolution of 480 (NTSC, 720×480 pixels) or 576 lines (CCIR 625/50, 720×576 pixels, commonly used with PAL). Besides these hardware specifications, Blu-ray is associated with a set of multimedia formats.

The BD format was developed by the Blu-ray Disc Association, a group representing makers of consumer electronics, computer hardware, and motion pictures. Sony unveiled the first Blu-ray Disc prototypes in October 2000, and the first prototype player was released in Japan in April 2003. Afterward, it continued to be developed until its official worldwide release on June 20, 2006, beginning the high-definition optical disc format war, where Blu-ray Disc competed with the HD DVD format. Toshiba, the main company supporting HD DVD, conceded in February 2008, and later released its own Blu-ray Disc player in late 2009. According to Media Research, high-definition software sales in the United States were slower in the first two years than DVD software sales. Blu-ray's competition includes video on demand (VOD) and DVD. In January 2016, 44% of U.S. broadband households had a Blu-ray player.

Since the standard Blu-ray Discs only support content with up to 2K resolution (1080p), the Blu-ray Disc Association introduced an enhanced variant of Blu-ray called Ultra HD Blu-ray (or 4K Blu-ray) for playback of 4K content. Also, the Association introduced an enhanced variant of Blu-ray for playback of 8K content in Japan.
Boot

A **boot** is a type of footwear. Most boots mainly cover the foot and the ankle, while some also cover some part of the lower calf. Some boots extend up the leg, sometimes as far as the knee or even the hip. Most boots have a heel that is clearly distinguishable from the rest of the sole, even if the two are made of one piece. Traditionally made of leather or rubber, modern boots are made from a variety of materials.

Boots are worn both for their functionality and for reasons of style and fashion. Functional concerns include: protection of the foot and leg from water, mud, pestilence (infectious disease, insect bites and stings, snake bites), extreme temperatures, sharp or blunt hazards (e.g. work boots may provide steel toes), physical abrasion, corrosive agents, or damaging radiation; ankle support and traction for strenuous activities such as hiking; and durability in harsh conditions (e.g. the underside of combat boots may be reinforced with hobnails).

In some cases, the wearing of boots may be required by laws or regulations, such as the regulations in some jurisdictions requiring workers on construction sites to wear steel-toed safety boots. Some uniforms include boots as the regulated footwear. Boots are recommended as well for motorcycle riders. High-top athletic shoes are generally not considered boots, even though they do cover the ankle, primarily due to the absence of a distinct heel. In Britain football (soccer) cleats are also called boots.
Bolapulus

**Bolapulus** is equal to \(\{10,100(0,0,1)2\}\ \&\ 10\) using the array of operator and BEAF. It is intended to have bongulus entries. The term was coined by Cookie Fonster.

## Approximations in other notations

Since this number hasn't been formalized, these are expectations.

 Fast-growing hierarchy | \(f\_{\theta \left(\Omega^{\Omega^{\Omega\omega}}\right)}(100)\)

## References

1. ↑ Pointless Gigantic List of Numbers - Part 6: The Mighty Royals. *Pointless Large Number Stuff*. Retrieved on June 3, 2017.
Breton language

**Breton** is a Southwestern Brittonic language of the Celtic language group spoken in Brittany, part of modern-day France. It is the only Celtic language still widely in use on the European mainland, albeit as a member of the insular branch instead of the continental grouping.

Breton was brought from Great Britain to Armorica (the ancient name for the coastal region that includes the Brittany peninsula) by migrating Britons during the Early Middle Ages, making it an Insular Celtic language. Breton is most closely related to Cornish, another Southwestern Brittonic language. Welsh and the extinct Cumbric, both Western Brittonic languages, are more distantly related, and the Goidelic languages (Irish, Manx, Scottish Gaelic) have a slight connection due to both of their origins being from Insular Celtic.

Having declined from more than one million speakers around 1950 to about 200,000 in the first decade of the 21st century, Breton is classified as "severely endangered" by the UNESCO Atlas of the World's Languages in Danger. However, the number of children attending bilingual classes rose 33% between 2006 and 2012 to 14,709.
Bribri language

Bribri, also known as Bri-bri, Bribriwak, and Bribri-wak, is a Chibchan language, from a language family indigenous to the Isthmo-Colombian Area, which extends from eastern Honduras to northern Colombia and includes populations of those countries as well as Nicaragua, Costa Rica, and Panama. As of 2002, there were about 11,000 speakers left. An estimate by the National Census of Costa Rica in 2011 found that Bribri is currently spoken by 54.7% of the 12,785 Bribri people, about 7,000 individuals. It is a tonal language whose word order is subject–object–verb.

There are three traditional dialects of Bribri: Coroma (in the western region of the Talamanca mountain range), Amubre (in the eastern region of the Talamanca mountain range) and Salitre (in the South Pacific area). Bribri is a tribal name, deriving from a word for "mountainous" in their own language. The Bribri language is also referred to as Su Uhtuk, which means "our language." Bribri is reportedly most similar to sister language Cabécar as both languages have nasal harmony, but they are mutually unintelligible.

## Phonology

### Consonants

* /b/ can have allophones of [β, m].
* /d/ can have an allophone of [ɽ], as well as nasal allophones of [ɽ̃, n].
* /ɟ͡ʝ/ can have an allophone of [ɲ].
* /ɾ/ can have an allophone of [r].
* /w, j/ can have nasalised allophones of [w̃, j̃].

### Vowels

I, u and a are pronounced in the same manner as they would be in Spanish. E and o are more open than in Spanish. The sound of ë is between i and e, in the same manner as ö is between u and o. The nasal vowels are pronounced similarly to the corresponding orals, with the addition of some air exiting through the nose.

Spanish examples of oral vowels:
¿quién?
 yë
padre, papá
 ye'
yo
médico

Spanish examples of nasal vowels:
madre, mamá
eso, ese
en; para
Breathy voice

**Breathy voice** (also called **murmured voice**, **whispery voice**, **soughing** and **susurration**) is a phonation in which the vocal folds vibrate, as they do in normal (modal) voicing, but are adjusted to let more air escape which produces a sighing-like sound. A simple breathy phonation, [ɦ] (not actually a fricative consonant, as a literal reading of the IPA chart would suggest), can sometimes be heard as an allophone of English /h/ between vowels, such as in the word *behind*, for some speakers.

In the context of the Indo-Aryan languages like Sanskrit and Hindi and comparative Indo-European studies, breathy consonants are often called *voiced aspirated*, as in the Hindi and Sanskrit stops normally denoted *bh, dh, ḍh, jh,* and *gh* and the reconstructed Proto-Indo-European phonemes *bʰ,dʰ,ǵʰ,gʰ,gʷʰ*. From an articulatory perspective, that terminology is inaccurate, as breathy voice is a different type of phonation from aspiration. However, breathy and aspirated stops are acoustically similar in that in both cases there is a delay in the onset of full voicing. In the history of several languages, like Greek and some varieties of Chinese, breathy stops have developed into aspirated stops.
Bracket

A **bracket**, as used in British English, is either of two tall fore- or back-facing punctuation marks commonly used to isolate a segment of text or data from its surroundings. Typically deployed in symmetric pairs, an individual bracket may be identified as a 'left' or 'right' bracket or, alternatively, an "opening bracket" or "closing bracket", respectively, depending on the directionality of the context.

There are four primary types of brackets. In British usage they are known as **round brackets** (or simply **brackets**), **square brackets**, **curly brackets**, and **angle brackets**; in American usage they are respectively known as **parentheses**, **brackets**, **braces**, and **chevrons**. There are also various less common symbols considered brackets.

Various forms of brackets are used in mathematics, with specific mathematical meanings, often for denoting specific mathematical functions and subformulas.
Broadcast programming

**Broadcast programming** is the practice of organizing or ordering (**scheduling**) of broadcast media shows, typically the radio and the television, in a daily, weekly, monthly, quarterly, or season-long schedule.

Modern broadcasters use broadcast automation to regularly change the scheduling of their shows to build an audience for a new show, retain that audience, or compete with other broadcasters' shows. Most broadcast television shows are presented weekly in prime time or daily in other dayparts, though exceptions are not rare.

At a micro level, scheduling is the minute planning of the transmission; what to broadcast and when, ensuring an adequate or maximum utilization of airtime. Television scheduling strategies are employed to give shows the best possible chance of attracting and retaining an audience. They are used to deliver shows to audiences when they are most likely to want to watch them and deliver audiences to advertisers in the composition that makes their advertising most likely to be effective.

With the growth of digital platforms and services allowing non-linear, on-demand access to television content, this approach to broadcasting has since been referred to using the retronym **linear** (such as **linear television** and **linear channels**).
Blaze and the Monster Machines

***Blaze and the Monster Machines*** (or shortened to ***BATMM***) is a computer-animated interactive children's television series with a focus on teaching science, technology, engineering, and mathematics (STEM) that premiered on Nickelodeon on October 13, 2014. The series revolves around Blaze, a monster truck, and his human driver, AJ, as they have adventures in Axle City and learn about various STEM concepts which help them on their way. Joining them is the human mechanic Gabby and their monster truck friends Stripes, Starla, Darington and Zeg as well as their rival Crusher and his goofy sidekick Pickle. Then later on, Watts joins the main cast in Season 3.
Cadeffentrial

**Cadeffentrial**, also known as **base 2352**, is a numeral system with 2352 as its base.

## Character list

* Page 1: 0-539
* Page 2: 540-1079
* Page 3: 1080-1619
* Page 4: 1620-2159

## Cyclic numbers

* The prime factorization of 2352 is  ×  × .
* It has 672 totatives.
* If *k*≥84, then *nk*+84 ends with the same digit as *nk*.

## Related numeral systems

* Sezzenal (base 84)
* Exsevoctal (base 336)
* Zeffentrial (base 588)
Brave

***Brave*** is a 2012 American computer-animated fantasy film produced by Pixar Animation Studios and released by Walt Disney Pictures. The film was directed by Mark Andrews and Brenda Chapman (in the former's feature directorial debut), co-directed by Steve Purcell, and produced by Katherine Sarafian, with John Lasseter, Andrew Stanton, and Pete Docter serving as executive producers. The story was written by Chapman, who also wrote the film's screenplay with Andrews, Purcell, and Irene Mecchi. The film stars the voices of Kelly Macdonald, Billy Connolly, Emma Thompson, Julie Walters, Robbie Coltrane, Kevin McKidd, and Craig Ferguson. Set in the Scottish Highlands, the film tells the story of Princess Merida of DunBroch (Macdonald) who defies an age-old custom, causing chaos in the kingdom by expressing the desire not to be betrothed. When Queen Elinor (Thompson), her mother, falls victim to a beastly curse and turns into a bear, Merida must look within herself and find the key to saving the kingdom. Merida is the first character in the Disney Princess line created by Pixar. The film is also dedicated to Pixar chairman and Apple co-founder and CEO Steve Jobs, who died before the film's release.

*Brave* is Pixar's first film with a female protagonist, and the first one animated with a new proprietary animation system, called Presto. Originally titled *The Bear and the Bow*, the film was first announced in April 2008 alongside *Up* and *Cars 2*. Chapman drew inspiration for the film's story from her relationship with her own daughter. Co-directing with Andrews and Purcell, Chapman became Pixar's first female director of a feature-length film. To create the most complex visuals possible, Pixar completely rewrote their animation system for the first time in 25 years. *Brave* is the first film to use the Dolby Atmos sound format. The filmmakers created three original tartan patterns for three of the four clans in the film. Patrick Doyle composed the film's musical score.

*Brave* premiered at the Seattle International Film Festival on June 10, 2012, and was theatrically released in North America on June 22. Receiving generally positive reviews, it was a box office success, grossing $540.4 million against a $185 million budget. The film won the Academy Award, the Golden Globe, and the BAFTA Award for Best Animated Feature Film. Preceding the feature theatrically was a short film entitled *La Luna*, directed by Enrico Casarosa.