OpenLLM-France/wikimedia huggingface dataset:
# Differentiable function/D in R/Inverse function/Fact/Proof

We consider the difference quotient
    ${\frac {f^{-1}(y)-f^{-1}(b)}{y-b}}={\frac {f^{-1}(y)-a}{y-b}}\,,$
and have to show that the limit for $y\rightarrow b$ exists, and obtains the value claimed. For this, let ${\left(y_{n}\right)}_{n\in \mathbb {N} }$ denote a sequence in $E\setminus \{b\}$, converging to $b$. Because of fact, the function $f^{-1}$ is continuous. Therefore, also the sequence with the members $x_{n}:=f^{-1}(y_{n})$ converges to $a$. Because of bijectivity, $x_{n}\neq a$ for all $n$. Thus
    $\lim _{n\rightarrow \infty }{\frac {f^{-1}(y_{n})-a}{y_{n}-b}}=\lim _{n\rightarrow \infty }{\frac {x_{n}-a}{f(x_{n})-f(a)}}={\left(\lim _{n\rightarrow \infty }{\frac {f(x_{n})-f(a)}{x_{n}-a}}\right)}^{-1}\,,$
where the right-hand side exists, due to the condition, and the second equation follows from fact.
# Differentiable function/D in R/Rules/Fact/Proof

(1). We write $f$ and $g$ respectively with the objects which were formulated in fact, that is
    $f(x)=f(a)+s(x-a)+r(x)(x-a)\,$
and
    $g(x)=g(a)+{\tilde {s}}(x-a)+{\tilde {r}}(x)(x-a)\,.$
Summing up yields
    $f(x)+g(x)=f(a)+g(a)+(s+{\tilde {s}})(x-a)+(r+{\tilde {r}})(x)(x-a)\,.$
Here, the sum $r+{\tilde {r}}$ is again continuous in $a$, with value $0$. (2). We start again with
    $f(x)=f(a)+s(x-a)+r(x)(x-a)\,$
and
    $g(x)=g(a)+{\tilde {s}}(x-a)+{\tilde {r}}(x)(x-a)\,,$
and multiply both equations. This yields
    ${\begin{aligned}f(x)g(x)&=(f(a)+s(x-a)+r(x)(x-a))(g(a)+{\tilde {s}}(x-a)+{\tilde {r}}(x)(x-a))\\&=f(a)g(a)+(sg(a)+{\tilde {s}}f(a))(x-a)\\&\,\,\,\,\,+(f(a){\tilde {r}}(x)+g(a)r(x)+s{\tilde {s}}(x-a)+s{\tilde {r}}(x)(x-a)+{\tilde {s}}r(x)(x-a)+r(x){\tilde {r}}(x)(x-a))(x-a).\end{aligned}}$
Due to fact for limits, the expression consisting of the last six summands is a continuous function, with value $0$ for $x=a$. (3) follows from (2), since a constant function is differentiable with derivative $0$. (4). We have
    ${\frac {{\frac {1}{g(x)}}-{\frac {1}{g(a)}}}{x-a}}={\frac {-1}{g(a)g(x)}}\cdot {\frac {g(x)-g(a)}{x-a}}\,.$
Since $g$ is continuous in $a$, due to fact, the left-hand factor converges for $x\rightarrow a$ to $-{\frac {1}{g(a)^{2}}}$, and because of the differentiability of $g$ in $a$, the right-hand factor converges to $g'(a)$. (5) follows from (2) and (4).
# Digital Media Concepts/CHSPE
## CHSPE
### Certificate of Proficiency

Education Code Section 48412
California Department of Education

### Sections
#### English Language Arts

* ↑ "California High School Proficiency Examination (CHSPE)". www.chspe.net. Retrieved 2018-09-18.
# Digital Media Concepts/Can't Help Myself Robot
### What is it?

In 2016, two artists named, Sun Yuan and Peng Yu, created a robot out of stainless steel and rubber enclosed in acrylic walls. Surrounding the robot was a deep red liquid and the only job that this robot had was to attempt and keep the red liquid contained as much as possible. Attached to this robot were sensors that detected anytime the red liquid strayed too far and the arm on this robot would swing over from wherever it was to shovel the liquid back towards the robot to attempt to contain it. This robot is programmed to continuously sweep in at the red paint desperately trying to keep the mess contained. This piece was created to represent the overworked and robot-like human society that is today.

### Reflection of Society

Today, humans are under an absurd amount of stress and pressure that many people struggle with on a day-to-day basis. They try to keep up with it but overtime it creates a mess on themselves and the world around them. People are held to a certain standard that does not allow for them to have much room for mistakes, which then overtime eventually eats away at a person.

### Endless Labor

Society has become their own robots in their own lives. From the constant pressure and stress that comes from their everyday jobs and everyday lives, society encloses themselves to an unhealthy routine that does not allow for free-time or de-stressors. In February 2023, a survey was released asking American workers where most of their stress comes from. The results came out as 83% of workers suffer from work-related stress and 25% saying that their job was their biggest stressor in their lives. Just like the robot, society is programmed to their one job, a job that overcomes them.

### Obsession and Repetitiveness

As much as this robot and society are both laborers to their everyday jobs, the constant repetitiveness can also become an obsession. The robot represents the society and how blind they are to what their jobs have made of them. Because of the constant sweeping and swinging around of the arm, the red liquid that is supposedly getting "cleaned" up is slowly overtime making a mess of it. But since the robot is programmed to do that one job, it overtime gives off an energy that it is obsessed with it to keep its area clean. Just like society, unhealthy relationships whether that being towards their job or other things going on in their lives, an obsession can overcome them and their own messes can be made.
# Digital Media Concepts/CPU Evolution
## The Birth of Microprocessors

The world's first commercial microprocessor was launched by Intel (Integrated electronics) company in 1971 and was named Intel 4004. Intel 4004 consists of four chips, namely CPU chip, ROM chip, RAM chip, and I/O chip, and has 2300 transistors in it.

## First computer

The world's first computer was the ENIAC computer built at the University of Pennsylvania in 1946. This computer was started in March 1943 under the guidance of John Mauchly and J. Presper Eckert, two engineers at the Moore School of Electrical Engineering at the University of Pennsylvania. , and announced to the world on February 14, 1946.
According to information released by the University of Pennsylvania, the ENIAC computer weighs 27 tons and covers an area of 680 square feet. ENIAC stores information in the form of vacuum tube electronics, so it contains more than 17,000 vacuum tubes and has 40 panels. In order to support ENIAC's high computing power, the computer has 1,500 relays, 70,000 resistors, and 10,000 capacitors, and has a power consumption of 150 kilowatts.

## Host device vs. Mobile device CPU

With the development of the times, relatively bulky host computers have gradually been eliminated and replaced by lightweight and compact mobile devices. Compared with computer CPUs that focus on performance and computing power, mobile device CPUs are more aimed at having more stable battery efficiency to ensure better battery life. Therefore, in most cases, the computing power of mobile devices is not as good as that of host computers.

## Mainstream CPU systems

| CPU Systems | Version |
| Intel Core | Core i5, Core i7, etc... |
| AMD Ryzen | Ryzen 5, Ryzen 7, etc... |
| Apple Silicon | M1 Chip, M2 Chips |
| Qualcomm Snapdragon | Qualcomm Snapdragon 8 Gen 3 |
* ↑ "The Story of the Intel® 4004". Intel. Retrieved 2024-03-28.
* ↑ ENIAC: The First Computer, retrieved 2024-03-28
# Comparative law and justice/Bahamas

Part of the Comparative law and justice Wikiversity Project
192.133.12.108 19:31, 9 February 2010 (UTC)

## Basic Information
### Brief History

The capitol of the Bahamas is Nassau, which is located in New Providence one of the many islands the Bahamas is made up of.
The Bahamas is made up of smaller islands such as; Grand Bahama, The Abacos, Andros, New Providence, Eleuthera, Cat, Great Exuma, Long, Crooked, Aklins, and Great Inagua. The islands are spread over the Atlantic Ocean covering an area of about 259,000 square kilometers.
Surrounding the Bahamas is Florida and Cuba to the northeast and southeast is Haiti, and the Turks and Caicos Island.
The population of the Bahamas is 307,552. 25.9% are in the ages between 0-14. 40,085 being males and 39,959 being females. 67.2% are in between the ages 15-64. 102,154 are male and 105,482 are female. 65 years and over are 6.9% of the population. 8,772 being male and 12,704 being female. The rate of the population growth is 0.925%.
The ethnicity of the Bahamas is Black 85%, White 12%, Asian and Hispanic 3%. In the Bahamas they have a variety of religion. 35.4% are Baptist, Anglican 15.1%, Roman Catholic 13.5%, Pentecostal 8.1%, Church of God 4.8%, Methodist 4.2%, other Christian 15.2% none or unspecified 2.9% and other 0.8%.
The official language in the Bahamas is English but Creole is also spoken among the Haitian immigrants.
The infant morality rate is 14.84 deaths/1,000 live births comparing to the world. Male: 14.82 deaths/1,000 live births and Female: 14.86 deaths/ 1,000 live births. The life expectancy at birth is 69.92 years the total population and male:67.48 years and female:72.43 years. The percentage of the total population that can read and write over the age of 15 in the Bahamas is 95.6%, the percentage for male is 94.7 and for female is 96.5%.
# BCP/Cerastium/Logs

This page contains recent bloom logs for Cerastium (Mouse-ear Chickweed). If you saw this plant blooming today (or sometime within the last 3 days), you can help improve the bloom clock by logging it. Just click on "edit" next to the Recent Logs heading, add *~~~~ (an asterisk followed by four tildes) on a new line just below the last signature, and then click "save page". This will add your signature and the date to log the plant.
Please make sure you've signed up on the contributors' page so that we can know the location of the plant you saw blooming and use your contribution to create a flora for your region! When you're done, you can go back to one of the main pages and find logs of other flowers you might have seen today.

### Logs
#### 2007 Logs

* --SB_Johnny | 17:31, 27 May 2007 (UTC)
* --SB_Johnny | 23:49, 31 May 2007 (UTC)
* --SB_Johnny | 10:47, 3 June 2007 (UTC)
* SBJ 16:16, 7 June 2007 (UTC)
* --SB_Johnny | 14:34, 9 June 2007 (UTC)

#### 2008 Logs

* --Jomegat 17:06, 16 May 2008 (UTC)
* --SB_Johnny | 09:47, 17 May 2008 (UTC)

##### Recent Logs

* --SB_Johnny | 09:10, 27 May 2008 (UTC)
* --Jomegat 17:22, 30 May 2008 (UTC)
* --SB_Johnny | 08:42, 2 June 2008 (UTC)
* --Jomegat 19:59, 2 June 2008 (UTC)
# BCP/Ceratostigma plumbaginoides/Logs

This page contains recent bloom logs for the plant Ceratostigma plumbaginoides (Leadwort). If you saw this plant blooming today (or sometime within the last 3 days), you can help improve the bloom clock by logging it. Just click on "edit" next to the Recent Logs heading, add *~~~~ (an asterisk followed by four tildes) on a new line just below the last signature, and then click "save page". This will add your signature and the date to log the plant.
Please make sure you've signed up on the contributors' page so that we can know the location of the plant you saw blooming and use your contribution to create a flora for your region! When you're done, you can go back to one of the main pages and find logs of other flowers you might have seen today.

##### Recent Logs

* Cormaggio 15:09, 5 November 2007 (UTC)

##### Archived Logs

(If there are more than 5 signatures under the recent logs heading, move the oldest logs to under this heading (generally leave the 3 most recent).
* (no archived logs yet)
# BCP/Cercis canadensis

Cercis canadensis
| Flowering tree Wikipedia • Commons • Wikibooks (horticulture) • Wikibooks (subject) • Wikispecies • Fruit and seed clock | Profile for Cercis canadensis (Eastern Redbud) Identifying Characteristics Habit:Small tree with a horizontal branching habitFlowers:Small clusters of pea-like flowers, borne on the stems and even trunksFoliage:Heart-shapedStem:Zig-zaggingFruit:flattened pods Recent Logs Jomegat 01:29, 24 April 2010 (UTC) Newnan75 05:14, 18 March 2011 (UTC) (view all logs) |
Global data: Temperate zone season(s): Mid Spring, Late Spring
Regional data: Southeastern Pennsylvania: (native) (cultivated) April, May New Hampshire: April, May Central Pennsylvania: April May Aurora, Colorado area: May
Additional images:
* Flowers on a large trunk
# BCP/Chaenomeles

Chaenomeles
| Chaenomeles lagenaria, flowers Wikipedia • Commons • Wikibooks (horticulture) • Wikibooks (subject) • Wikispecies • Fruit and seed clock | Profile for Chaenomeles (Flowering Quince) Identifying Characteristics Recent Logs SB Johnny-LM 00:29, 17 April 2008 (UTC) Anna reg 11:08, 17 April 2010 (UTC) Anna reg 12:14, 27 March 2011 (UTC) FHP Bentley (discuss • contribs) 17:23, 13 January 2017 (UTC) (view all logs) |
Global data: Temperate zone season(s): Mid Spring
Regional data: Southeastern Pennsylvania: (cultivated) April
Additional images:
# BCP/Chaenomeles/Logs

This page contains recent bloom logs for the plant Chaenomeles (Flowering Quince). If you saw this plant blooming today (or sometime within the last 3 days), you can help improve the bloom clock by logging it. Just click on "edit" next to the Recent Logs heading, add *~~~~ (an asterisk followed by four tildes) on a new line just below the last signature, and then click "save page". This will add your signature and the date to log the plant.
Please make sure you've signed up on the contributors' page so that we can know the location of the plant you saw blooming and use your contribution to create a flora for your region! When you're done, you can go back to one of the main pages and find logs of other flowers you might have seen today.

##### Archived Logs

(If there are more than 5 signatures under the recent logs heading, move the oldest logs to under this heading (generally leave the 3 most recent).
* (no archived logs yet)

##### Recent Logs

* SB Johnny-LM 00:29, 17 April 2008 (UTC)
* Anna reg 11:08, 17 April 2010 (UTC)
* Anna reg 12:14, 27 March 2011 (UTC)
* FHP Bentley (discuss • contribs) 17:23, 13 January 2017 (UTC)
# BCP/Chelidonium majus/Logs

This page contains recent bloom logs for Chelidonium majus (Greater Celandine). If you saw this plant blooming today (or sometime within the last 3 days), you can help improve the bloom clock by logging it. Just click on "edit" next to the Recent Logs heading, add *~~~~ (an asterisk followed by four tildes) on a new line just below the last signature, and then click "save page". This will add your signature and the date to log the plant.
Please make sure you've signed up on the contributors' page so that we can know the location of the plant you saw blooming and use your contribution to create a flora for your region! When you're done, you can go back to one of the main pages and find logs of other flowers you might have seen today.

### Logs
#### 2007 Logs

* --SB_Johnny | 10:07, 10 May 2007 (UTC)
* --SB_Johnny | 23:17, 20 May 2007 (UTC)
* --SB_Johnny | 17:27, 23 May 2007 (UTC)
* --SB_Johnny | 10:21, 26 May 2007 (UTC)
* --SB_Johnny | 23:49, 31 May 2007 (UTC)
* --SB_Johnny | 10:47, 3 June 2007 (UTC)
* --SB_Johnny | 14:34, 9 June 2007 (UTC)
* --SB_Johnny | 09:56, 2 July 2007 (UTC)
* --SB_Johnny | 09:41, 24 July 2007 (UTC)
* --Jomegat 15:58, 3 August 2007 (UTC)
* --SB_Johnny | 11:19, 4 August 2007 (UTC)
* --Jomegat 17:00, 24 August 2007 (UTC)
* --SB_Johnny | 09:57, 1 September 2007 (UTC)

#### 2008 Logs

* --SB_Johnny | 11:30, 22 April 2008 (UTC)
* --SB_Johnny | 10:22, 27 April 2008 (UTC)
* --SB_Johnny | 12:18, 4 May 2008 (UTC)
* --SB_Johnny | 09:47, 17 May 2008 (UTC)
* --SB_Johnny | 08:44, 2 June 2008 (UTC)
* Jomegat 17:02, 18 June 2008 (UTC)
* --Juan Pisek 15:10, 29 June 2008 (UTC)
* Jomegat 16:59, 2 July 2008 (UTC)
* --SB_Johnny | 09:47, 14 July 2008 (UTC)
* Jomegat 02:42, 15 July 2008 (UTC)
* Jomegat 00:45, 23 July 2008 (UTC)
* Jomegat 04:26, 1 August 2008 (UTC)
* Jomegat 00:02, 10 August 2008 (UTC)

#### 2009 Logs

* Jomegat 22:15, 7 May 2009 (UTC)
* Jomegat 00:42, 12 May 2009 (UTC)
* Jomegat 00:10, 21 May 2009 (UTC)
* Jomegat 02:01, 4 June 2009 (UTC)
* Jomegat 00:35, 16 July 2009 (UTC)
* Jomegat 00:47, 22 July 2009 (UTC)

##### Recent Logs

* Jomegat 23:24, 5 May 2010 (UTC)
# BCP/Ceratostigma plumbaginoides

Ceratostigma plumbaginoides
| Flowering stems Wikipedia • Commons • Wikibooks (horticulture) • Wikibooks (subject) • Wikispecies • Fruit and seed clock | Profile for Ceratostigma plumbaginoides (Leadwort) Identifying Characteristics Recent Logs Cormaggio 15:09, 5 November 2007 (UTC) (view all logs) |
Global data:
Regional data: Manchester, England: November
Additional images:
# BCP/Chelidonium majus

Chelidonium majus
| Flowers, foliage, and buds Wikipedia • Commons • Wikibooks (horticulture) • Wikibooks (subject) • Wikispecies • Fruit and seed clock | Profile for Chelidonium majus (Greater Celandine) Identifying Characteristics Habit:Upright herbaceous plantFlowers:4 showy petals, many anthers, yellow.Foliage:Pinnately compound with lobed leaflets. Recent Logs Jomegat 23:24, 5 May 2010 (UTC) (view all logs) |
Global data: Temperate zone season(s): Mid Spring, Late Spring, Early Summer, Mid Summer, Late Summer, Early Fall
Regional data: Southeastern Pennsylvania: (invasive or naturalized) April, May, June, July, August, September New Hampshire: (invasive or naturalized) May, June, July, August South Bohemia, Czech Republic: (vlaštovičník větší) June ,
Additional images:
# BCP/Cerastium

Cerastium
| Cerastium diffusum flowers and foliage Wikipedia • Commons • Wikibooks (horticulture) • Wikibooks (subject) • Wikispecies • Fruit and seed clock | Profile for Cerastium (Mouse-ear Chickweed) Identifying Characteristics Recent Logs --SB_Johnny | 09:10, 27 May 2008 (UTC) --Jomegat 17:22, 30 May 2008 (UTC) --SB_Johnny | 08:42, 2 June 2008 (UTC) --Jomegat 19:59, 2 June 2008 (UTC) (view all logs) |
Global data: Temperate zone season(s): Late Spring, Early Summer
Regional data: Southeastern Pennsylvania: May, June New Hampshire: May, June
Additional images:
# BCP/Cercis canadensis/Logs

This page contains recent bloom logs for Cercis canadensis (Eastern Redbud). If you saw this plant blooming today (or sometime within the last 3 days), you can help improve the bloom clock by logging it. Just click on "edit" next to the Recent Logs heading, add *~~~~ (an asterisk followed by four tildes) on a new line just below the last signature, and then click "save page". This will add your signature and the date to log the plant.
Please make sure you've signed up on the contributors' page so that we can know the location of the plant you saw blooming and use your contribution to create a flora for your region! When you're done, you can go back to one of the main pages and find logs of other flowers you might have seen today.

### Logs
#### 2007 Logs

* --SB_Johnny | 17:27, 29 April 2007 (UTC)
* --SB_Johnny | 10:02, 9 May 2007 (UTC)
* --SB_Johnny | 09:56, 10 May 2007 (UTC)
* SBJ 12:05, 12 May 2007 (UTC)

#### 2008 Logs

* SBJ 10:09, 26 April 2008 (UTC)
* --Luai lashire 21:30, 23 April 2008 (UTC)
* Ngravagna 18:42, 3 May 2008 (UTC)
* --Luai lashire 20:54, 3 May 2008 (UTC)
* --SB_Johnny | 12:19, 4 May 2008 (UTC)

#### 2009 Logs

* Jomegat 23:18, 7 May 2009 (UTC)

##### Recent Logs

* Jomegat 01:29, 24 April 2010 (UTC)
* Newnan75 05:14, 18 March 2011 (UTC)
# English-Chinese/It's broken and no attempt has been made to fix it

It's broken and no attempt has been made to fix it.
它破碎了，没有尝试修复它。
# English-Chinese/International common language

The international common language is the common language of the world, that is English.
国际共同语就是世界的共同语，也就是英语。
# English-Chinese/Ischemia

In medicine, ischemia (the lack of blood) means that the blood supply is blocked or restricted. This is usually caused by a vascular problem that can cause damage to the body.
在医学上，缺血意味着血液供应受阻或受到限制。 这通常是由可能导致身体受损的血管问题引起的。
# English-Chinese/Interesting as it seems

Interesting as it seems, I don't think I'll get it.
看起来有趣，但我不会要。
# English-Chinese/It's still difficult for a black person to become a manager

It's still difficult for a black person to become a manager.
黑人成为经理仍然很困难。
# English-Chinese/Intestine

The intestines of an animal are like a hollow tube so that food and bile from the stomach can reach the small intestine and large intestine.
动物的 肠 就像 一个 空心管，因而 来自 胃的 食物 和 胆汁 可以 到达 小肠 和 大肠。
# English-Chinese/Is that all you can do?

Is that all you can do?
这就是你所能做的一切吗？
# English-Chinese/Intent segmentation

Intent segmentation is the problem of dividing written words into keyphrases (2 or more group of words).
意义切分 是 将 书面词语 划分为 关键短语（两个或以上 单词的 组合）的 问题。
# English-Chinese/Internal circadian indicators, along with successful reduction of homeostatic sleep need, typically bring about awakening and the end of the sleep cycle

Internal circadian indicators, along with successful reduction of homeostatic sleep need, typically bring about awakening and the end of the sleep cycle.
生理节奏以及体内自我平衡，通常会醒来使睡眠周期结束。
# English-Chinese/Islam is a religion that was founded in the 7th century by Muhammad

Islam is a religion that was founded in the 7th century by Muhammad.
伊斯兰教 是 穆罕默德 于 7世纪 建立 的 宗教。
# Digital Media Concepts/Oregon Standoff
### #Oregonstandoff

Go directly to the hashtag on Twitter: https://twitter.com/search?f=tweets&vertical=default&q=#Oregonstandoff&src=tyah
# Digital Media Concepts/Lie Detectors

Introduction goes here...
# Digital Media Concepts/Laserphaco Probe

Dr. Patricia Bath is a pioneer in the field of Ophthalmology, one of the most decorated African American women in the medical field, creator of the Laserphaco Probe & co-founder of the American Institute for the Prevention of Blindness. Her research has changed the course of history in medicine & surgery surrounding eyesight.

## Bibliography or Further Reading

https://www.biography.com/people/patricia-bath-21038525
https://cfmedicine.nlm.nih.gov/physicians/biography_26.html
https://brogans.wordpress.com/dr-patricia-era-bath/eye-surgery-of-the-time-and-the-laserphaco-probe/
# Introduction

LOONA is an idol group based in South Korea formerly under Blockberry Creative (subsidiary to Polaris Entertainment, the home of Ladies' Code). The group started out in 2016 as a predebut project spanning two years in which a member was introduced each month with a solo promotional EP. In 2018, the project culminated in the final debut that unifies all the members with the EP [++], led by Hi High and favOriTe as the title tracks.
The group's name as familiar to international fans is derived from the leading consonants of its Hangeul counterpart "이달의 소녀". The consonants ㅇㄷㅇㅅㄴ are then rearranged to ㄴㅇㅇㄷㅅ to resemble "LOONA", whose pronunciation reminds of the Latin word luna.