recursal/Fanatic-Fandom huggingface dataset:
Phantasm

## Overview

Phantasms are aerial, demonic creatures, initially native to Neth’ar, but have started migrating to Karvoun since the Reawakening.

## Biological Information

Phantasms are nocturnal predators and sleep during the day in isolated caves and mountains. They are primarily carnivorous and will hunt down anything smaller than or equal to themselves. They usually hunt their prey alone but will often sleep amongst one another in a “brood”. Phantasms' primary hunting technique usually involves swooping down on their chosen prey multiple times, missing their target purposefully, to create a feeling of helplessness and confusion. After this, they can now easily swoop down, and decapitate the now stunned prey, bringing the corpse back to their brood.

Phantasms don’t always kill off their prey. Often, they will simply knock them into a coma, and bring them back to their Broods, in order to use them as vessels for their larvae.
Scuttleshell

Scuttleshells are aggressive insectoid creatures, dwelling within the Shackled Kingdom, specifically its more rocky segments, like the Blistered Rocks.

## History

It is said that Ferceri, The Fool, once spent fifty nights living in a Scuttleshell nest.

## Biological Information

Scuttleshells consist of a large stone-like shell, easily mistaken for a naturally occuring one. A Scuttleshells legs and head can easily retract within this shell, allowing it to resemble a rock formation. It usually does this as a method of ambushing prey, but is also used during the night, to keep it safe from nocturnal predators and opportunistic rival Scuttleshells.

Scuttleshells are consistently aggressive beasts, and have a habit of attacking most intruders into its territory, regardless of size.
Marksmen

## Overview

The Marksmen are a Paladin company, operating throughout most of Karvoun's landmass. They are infamous for their vicious nature, and expensive services. But, however much they are hated for both of these, it is undeniable that their members are some of the most effective combatants the Paladins have to offer.

## History

After Kal Calinn, the leader of the Paladins when they were united, passed of old age, the Paladins became divided, and their companies split into smaller factions rather than different brigades meant to cooperate with one another. One of these split companies would become known as the Marksmen, led by Engeler Rabal.

## Description

The Marksmen, like other Paladin companies, task themselves with protecting cities and towns alike, from dangerous creatures and bands of brigands. However, they demand coin for their service, unlike some other companies who offer their services for no price.

## Known Members

* Corrore Lunther
* Engeler Rabal
Wyrm (Drakon)

## Overview

Wyrms, also known as “The Plains Dwellers”, “The Apokthra Hunters”, and “The Sand Seekers”, are a type of limbless Drakon that mainly dwell in the Apokthra Plateau. They are renowned for their unwavering determination to hunt prey they have locked onto.

## History

Wyrms are essentially crude mockeries of creatures possessing the same name: creatures that were believed to be as ancient as time itself. However, around the year 21,000 B.R., their race started to perish for unknown reasons, and were finally finished off by colonizing humans not long after this. However, this would not be the end of the beasts. Laemeargian technicians are believed to have acquired some still decomposing corpses of the numerous species of Drakons: sustaining them by injecting artificial nutrients and other forms of sustenance.

One of these mass-produced copies was the Wyrm. As a test of their unnaturally created machinations, the Laemeargiar sent the Wyrms to the city of Apophia, which was devastated by their assault over the next few years. After Apophia’s destruction, they burrowed to neighboring cities and attempted to besiege these also. Though the Wyrms were successfully warded off in most cases. However, after the Reawakening, many of the cities that had survived up until that point were shattered by catastrophic earthquakes, allowing the Wyrms to invade, and decimate the inhabitatnts.

## Biological Information

Most Wyrms dwell in the Apokthra Plateau, an elevated piece of artificial land whose entire grounds consist entirely of sand and salt. During the warmer seasons, Wyrms will spend most of their time hidden underground, away from the harmful rays of the sun until night falls: where they spend most of their time hunting. The night and colder seasons are when Wyrms are the most active, going on excessive killing sprees, hunting whatever they can, and consuming every piece of meat and bone of its corpse. The only chance one gets after being spotted by a Wyrm is its single mechanical eye, which shines a pale yellow, heralding its surfacing and illuminating its path to nourishment. It should also be noted, that the Wyrm is one of only three Drakon species than consume food in the traditional manner, intaking it via its jaws and being digested in a relatively regular stomach system.
Gilannt

Gilannt's are gigantic, carnivorous lizards, that live exclusively in the dunes of the Shackled Kingdom. They are considered among the Li'nki-as well as others who have heard of the beast in other parts of Karvoun-to be the most dangerous creature of the Shackled Kingdom.

## History

It is believed among the Li'nki, that the giant skeleton covering a large portion of the Shackled Kingdom, was Tiamat, the mother goddess of all Gilannts. It is also said among them, that Tiamat was killed by Recerix, Breaker of Chains, in order to meet the challenge issued by her to the Li'nki. After the supposed death of Tiamat, Gilannts became renowned among the Li'nki people for their supposed status as a goddess's offspring, this message being spread by Recerix. Due to this, in modern times, it is considered a great honor to have killed one, and a large step in becoming an Unchained. Emphoarus, The Hunter, stalked 11 Gilannts, subduing, and capturing all of them, then bringing them to the Iron Arena, where he fought them for a second time, this time though, killing them.

## Biological Information

Female Gilannts are larger than males, and sometimes more aggressive as well.

Gilannts are the apex predator of all habitats of the Shackled Kingdom. As such, it feeds on any and all meat based life forms available to it, including other Gilannts, usually preying on juveniles. They are extremely territorial, often claiming rocky caves and overhangs, which they use to sleep in, and later in life, as a breeding ground. Both males and females are sexually mature at around 8 years. Their platonic mating rituals consist of males challenging females to combat. If the male manages to defeat the female, he will have earned the right to mate with the other.

After mating, the male will either leave the nest for the female to tend to, or be killed and eaten by her.
Skoura

Skoura's are large subterranean dwelling insects, renowned for their ability to cause the oxidisation of metals within their proximity

## Biological Information

Skoura's bodies and legs are covered in quill-like hairs, similar in texture to fur. These quills cause the rapid deterioration of any metals that come within 7 metre's of its vicinity, particularly ferrous metals. It appears as though alloys are the most resistant to this effect. Skoura's use their quills primarily for breaking down the strong metal line burrows of their prey; Steelsilks

Skoura's are not necessarily aggressive creatures. They often act quite docile around intruding humans, that is, with the exception of those carrying metal equipment of any sort. In the presence of mettalic paraphernalia, a Skoura will enter a maddened state, doing everything within its power to consume the metal it detected, as well as any creature it associated with the tool.
Pura Raven

Pura Ravens are birds of great renown among the people of Galandim. Considered by them to be holy creatures, due to the fact of their healing properties.

## History

It is said that Nostrodamus kept a Pura Raven as a pet, both before and during his pilgrimage from Galanm. It was this Raven, some say, that he dissected and used the blood of in his creation of a vaccine for the Black Rot. After this, many around Galandim praised these birds for playing a part in their salvation from the Black Rot, and have since become holy icons for the nation, as well as partners for members of the Order of Azuage.

## Biological Information

Pura Ravens are impervious to any and all known diseases. Their blood is able to heal a number of plagues, as well as treat infections. Pura Ravens are solitary creatures, preferring their own company until their mating season has arrived, though these rituals are also devoid of passion, and little techniques are used to acquire a mate. The female will lay around 4-6 eggs in a single nest, constructed from small stones and twigs, atop rocky hill. Here, she will remain until they have hatched around a month later, having placed food in the nest as well for both her sustenance, and the chicks when they hatch.
Sabad

Sabad is one of the seven provinces of Draconia.

## Geography

Sabad is a primarily rocky and arid province. Its temperatures can be overwhelmingly humid, caused by the numerous geysers scattered throughout its landscape. Due to this, most inhabitants of Sabad make their homes within the hills and mountains that make up most of their province. These mountains and hills usually contain vast subterranean formations within them, often leading to pools of acid and magma, which are the source of the geysers on the rocky surface.

## Notable Creatures

* Skoura
* Steelsilk
Reawakening

## Overview

The Reawakening was a cataclysmic event that would change the entire social order, geography, history, and other aspects of Karvoun forever. It was essentially a signal of the dying core of Karvoun, and caused great calamities to ensue, such as tsunami's, eruptions, and earthquakes.

## Beginning

It had been around 17,000 years since the vanishing of the Faeries from Karvoun. Without them rejuvenating Karvouns core, it slowly died in silent suffering, Slowly, but surely. And subtly enough that none would heed its deterioration, even if they were looking for such decay. And so, the world continued on with their wars, alliances and advancements, ignorant of the threat approaching them.

## During Reawakening

And when those 17,000 or so years passed, Karvouns core trembled with corruption. All those years of neglect had culminated in a great cataclysm: The Reawakening. Great catastrophes riddled Karvoun in a great blitzkrieg of woe. Eruptions from long dormant volcano's, great tidal waves, earthquakes that swallowed entire cities, blistering winds of unapparelled cold and ferocity. All coming together at once. Some said that the very earth had turned against them.
Malformed

## Overview

The Malformed, sometimes referred to as “The Faceless Ones” are an aggressive biomechanical race, whose primary goals are uncertain: but involve the kidnapping of human life and taking over Karvoun's cities.

## History

Little is known of the Malformed origins, some suspect that the Laemeargiar constructed them in a similar fashion to that of the Drakons: but little evidence has been found to support this. Malformed have no definite recurring form. It is also ambiguous as to how long the Malformed have existed for, as they were only uncovered by Keriptian agents around the year 55 A.R.

## Biological Information

All Malformed consist of a variety of seemingly random biological mutations, made of raw skinless meat and often coated in a black-purple slime. However, in all instances of Malformed, a featureless, spherical “face” is present in their warped forms, regardless of their physiology. The sophistication of their technological enhancements varies. Ranging from primitive cutting tools to advanced ballistic weaponry. It is unclear how much intelligence Malformed possess. Some have been observed to understand communications between humans, interpret radio signals, and even form semi-complex battle stratagems. Though, these traits are not consistently present in every Malformed discovered.

The black-purple slime present in Malformed bodies and skin is made of unknown substances and has been dubbed Plasma. Plasma (in the rare instances of sample collection) has been tested to be toxic when ingested. It is one of the primary methods Malformed used in their genocidal expeditions from the Charredlands.
R.O.B.O

+ **Enhanced Healing Factor**: Robo is able to heal his wounds at a far faster rate than most humans. He recovered from a stab wound that had ultimately weakened in his fight with Rankore. After his second encounter with Rankore, Robo was able to heal himself immediately after being shot down multiple times.
	+ **Flight**: To Be Added
	+ **Energy Projection**: To Be Added
	+ **Missile Generation**: To Be Added

### Abilities

* **Genius-Level Intelligence**: To Be Added
Limbo

## Overview

Limbo is one of the failed attempts at creating a world by the Progenitor. Limbo is similar to the planet on which Karvoun is located, acting as a mirrored version of it, albeit, twisted and warped. It is ruled by the mysterious Tragodis, a clan of humanoid creatures, that torture any who enter their domain and offer their battered souls to a being they follow, named The All-Seer.

## History

Limbo was one of the first attempts to create a world, by the Progenitor. Unfortunately, for unknown reasons, this world was unable to maintain itself, and simply became a mirrored image of the Void. However, this changed after the world of the Karvoun was created. Limbo began to take shape and began to mirror what was being forged on Karvoun. Though, they were imperfect reflections, more akin to mockeries. After witnessing this change, the Progenitor attempted to use Limbo as a resting ground for those on the journey to the afterlife. This too would fail, however, after the Progenitor fell into its slumber before it could finish its intentions. Thousands of years later, despite remaining unfinished, Limbo had managed to capture deceased souls, seemingly through some unknown erratic pattern. Perhaps purely through chance. Either way, a number of powerful entities that would call themselves the Tragodis, would come to rule this dimension, and bend it to their will.

From then on, any soul ensnared into Limbo’s grasp would suffer from unprecedented torture by the Tragodis: from the comfort of their misshapen spire, The Comedris, seemingly for pure amusement, and as sacrifices for a being they worshipped, they called the All-Seer.

## Inhabitants

### Tragodis

* Aeschaeus
* Arisphan
СПЗомбу Вики

**Добро пожаловать на СПЗомбу Вики!**
* Зомбу
	+ Зомби (Обыч.)
	+ Чумной
	+ Джаггернаут
	+ Священник
	+ Психопат
	+ Токсик
	+ Крикун
	+ Полуночник
	+ Могильщик

## Описание

СПЗомбу – это самый проработанный и масштабный RPG сервер в СНГ. Здесь вы погружаетесь в мир зомби апокалипсиса, выживая и развиваясь на ровном месте с другими носителями же игроков. И только вам кому доверять и брать под свое крыло, а с кем враждовать .

СПЗомбу открывает перед вами список множества возможностей.

Такие как:

* Добыча мирных мобов
* Лут с агрессивных
* Прокачка навыков
* Создание базы (и прокачка)

## Навигация

PlaceholderБазаPlaceholderСтатья о главном персонажеPlaceholderСтатья о главном антагонистеPlaceholderСтатья о первой серии/игровой миссииPlaceholderМесто действия темы викиPlaceholderСтатья о ключевом событииPlaceholderВажная статья

Вот список служебных страниц, которые пригодятся любому участнику вики:

* Все статьи вики
* Категории
* Изображения на вики
* Справка
* Инструменты вики
* Управление вики
* Оформление вики

Посетите Вики Сообщества и задайте любой вопрос на форуме.
Obunga

The **obunga** is the Gregdevils brother, he has supreme big brain and speed.

He can run at 2030003900 ly/s (light years per second) and weighs around 200 tons.

He is about as tall as the empire state building and about as wide as the turning torso.

He is incredibly thin, smaller than an atom.

He resembles a nextbot/png.

He kills you via (̷̢̛͙͓̤̞̱̫̤̻͍̳̯̝̭̘͇̗͍͉̪̤̼̣̰̣̹̝̗̠̖̟̇̽̾͗̔̐̎͛̓̅̾̉͌̆̑̋̋̀̃̿̃̅́̂͂́̊́̈̀̊̀͋́̌̕̕͝)̴̨̨̨̨̧̛͎̼̺͈̜̻̦̮̣̲̻͈̭̹̭̝͔̦̜̪͚̗͔̟̟̭̪̠͔̰̟̖͚̠̥͔̾̈͒̈́̿̉̄͌̀̎̑̔̊́̿͘̚͜͝ͅ≠̼̼̩̫̙̭͉̰͚̣̲͇͕̘̳̣̞͖͇̖͈̤̖̦͊̊͆͋̈́̔̿̽͐͐̉̈͋͆̇̚͜ͅͅͅ)̶̧̡̨̛̠͉̮͙͉̳̤̖͉̞̳̼̟͖̳̖̘̮̿͋͗̅̅͂͠¤̷̧̡̡̺̘̳̬̝͙̘͙̗̹̰͔̤͉̪̝̣͎̟͕̺͖̝̼͓̙̑͆̑̀͂͛̑̕͜ͅ(̷̢̧̨̨̠̤̥̦̼̝͍͓̥̗̥̫͓̩͙̳̯̪͈́̈̈̑̃̅̆̉̉̾̈́͂̽̈̉͒͑͆͌̊͗͆̓͐̾̈́͑̇̀̈́͗́͐̌̈̃͘͝͝≠̡̢̨̧̧̧̛̯̭̰͇̲͉̘̖̦̳̯̗̰̥̬̮̱̼̹͔͈̺͕̹̙̻͇͕̫̑̄͆̉̂͒̃͗̑̇̀̈͊́̎͐͐̽̓̈́̑̄̄̄͛̏̃͗̈́͋̎̋̽͆̈̏̈́̚͜͠͝)̴̨̡̧̟̫̖͈̤̫̞̲̺̬̜̜̹̮̥͙̆̾̓͒̿͛̌͗̽̉̋̂̉̾́͒̅́̓̃̃̐̇̓̄̅̔̕͘̕͝͝(̶̡̧̧̡͚͙̹͖͍̦͓͍̬̯̦̱͖̤͇͕͔͖̱̠̤͎̳̍̒̎͒̂́̀͌͐̽̒͑̂̅͐̆̏͊̓̾̽̏̓̏͑̿̍͘͠#̷̢̨̢̨̨̹̪̩͖̺̞̣̩͎̗̖̰̩̱̩͍̘̪̪̖̤͖̤̰̱͙͔͈̟̖͎͖͚͓̝̱͇̯̝̭̅̈́̃̔̿̈́̆̈́͜=̷̧̢̢̨̨͚̹̬̪̼̬̥̮̥̥̦̼͇̩̙̦̹̱̪̼͖͈̮̥̰̞̖̻̭̖͔̗̮̱͔̮͇̦̪̬̓̎̓̈̃́͗͆̉͆̂̀̉͗̃̐̌̈̔̍͐̿͑̽̂͊͒̄̐̉̒̇͂̈́͛͘͘͜͝͠͝͠ͅ"̴̨̧͔̮̗̠͓͈̜̝͉̳͍̪̄̿́̿̌̒͂͐̋̈́͗̽̒̊̾̅̇͛͗̈́̌̈͌̏̈́́̾̕̕͝͝(̴̧̧̡̢̧̧̨̛̛̛̻̳̱̲̳͎̯͖͔̥̲̦͙̖̝̫̟̖̥̜̦̰͇̫̳̫̳͕̘̘͉͓͓͉͚͕̥͖̏̈́̂͛̿̈́̌̓̈́̅̍̓̅͂̓̍͋̌͌̓̌͆͂͑̊͗̾͊͋͜ͅ≠̙̪̩̜͉̼̃̎̂(̶̡̨̧̛͎̞͓̫̯̖̘͚̬̥̮̦̫̻̺̟̬̹̦͔͍͚̤̙̘̼͓̼̝͇͇͎͈͉̩̠̥̋̂̒̐̈́̆̒͆̐̕͘͝ͅ¤̵̢̛̮̙̲̫̱͎͍̺͎̮̮̳̭͈͎̰̘̜͍̦͈̥̯͍̭͙̯̞͔̮͎̄͗̊͛̓̌͑͐̏̍̊̅̇͊͒̓̚͝͠͝ͅ=̶̥̣͇̟̤͓̬͙̗̥̯̖͙̬̳̈̈́͒̓̄͑̑̾͝͝͝)̸̡̧̧̡̧̗͖̼͎̤̺̗̝͍̬̩͍̥̬̳͉̳͚͚̠̮̯̯̪̼̹͕̗̳̭̳̖̟̲͋̈́̀́͑̇͐̔̆̕͜͜͝͠#̶̡̮̰͙̗͖͌̈̎̐̉͜(̸̡̢̛̛͔̜̲͇͙̞̟͕͇͔͎̞͈͇͙̣̹͚͓̣̤̹̼̉͒͒́̒̆͛̄̉̀̀̀͒͌͋̒͋͑̆̃̍͜͝͠͠͝=̴̧̢̡̛̛̛̮̳̼̖̻͈̜̱͔̺͙̤̹̺̤̺͕̯͙̝͐̌̈́̄̆͐̏̃̓̒̔͊̂͊̋͒̃̐̄̌͐̓̓́̉̂͐̈́̾̾́̈́̚͝ͅͅ"̶͚̩̏̑̉̂͒͑̋͋̈́̇̓̽́͂͒̃͑̂̔͋̀͛̐͊̈́̓̄̀̋̄̒̎̀̄́̑͑̇̓͘̚͝͝͝͠͝)̸̡̨̛͙̘͖͍͈̘̘̮̜̣̞̺̜̞͇̈͒̀̽̽̀͋̈̈̉̀͛̒̀̀̈́̌̋̆͌̕͝(̷̛̞͉̑̂̐̊̈́͛̂̄̂͛͆̈́̃̒̔́̌͒͋́̌̉̈́̓͒̎̆̊͆̕̚͝͠≠̛̫̜̮̳͕̜͙͖̞̀̓̎̃̉̉͐̓̏̽͐̐͛̂̓͆̈́̐͂̃̑͂̿̌̈́̎̓̾̏̓̀͘̚̕̕͝͝͝¤̶̡̡̢̡̨̛̛̙̺͎̤̫͉̱̤͙͔̲̙̭̦̤̩̞̻̗̹̭͔̳̯͍̙͕̻̼͙͖͉͙̺̍͆͗͑̍͑̃͒̓͒̂̃̽̓́̈́̓̔͗̿͂́̉̌̓͆̓͋̈́̐͂̓̐̉̒̓͗̍̄͋͆̕̚͘̕͜͜͠͝ͅ

He is unkillable and is probably a gregdemon. (unconfirmed)

GREGSBLESSINGS
Closure of a Set

For any set

A

{\displaystyle A}

 in a topological space

X

{\displaystyle X}

, the **closure** of A is the intersection of all closed subsets containing

A

{\displaystyle A}

.

Intuitively, this is the small closed set that contains

A

{\displaystyle A}

.

That is,

A
¯

=

⋃

B
⊂
A
,
B
∈

C

{\displaystyle \bar{A} = \bigcup\_{B \subset A, B \in \mathcal{C}}}

 where

C

{\displaystyle \mathcal{C}}

 is the set of all closed sets in X.

Some properties:

* Avery set is by definition contained in its closure:

A
⊆

A
¯

{\displaystyle A \subseteq \bar{A}}
* A set

A

{\displaystyle A}

 is closed if and only if

# A

A
¯

{\displaystyle A = \bar{A}}
Heavenly Mystic World

The Heavenly Mystic World spanned countless kilometers and had countless cultivators.

However, the publicly acknowledged place of cultivation was the Central Continent.

In the other four regions, even the East Sea, which was known to be filled with sword cultivators, was not qualified to be compared to the Central Continent.

The Central Continent was rich in resources and prosperous in cultivation. It did not have much interaction with the four regions.

To head to the Central Continent from the Western Frontier, one had to pass through the vast plains. It was dangerous. Even Earth Realm Core Formation cultivators might not be able to return.

In the past, cultivators from the Central Continent had come to the Western Frontier. They only felt that the Western Frontier was desolate and the spiritual energy was insufficient. They did not even leave behind much inheritance and left directly.

After getting used to living in the Central Continent, everything outside the Central Continent was a wasteland.
Arya

* Relatives
* FnE

## History

Arya was the daughter of City Lord Elena and Captain of the City Guards Ryan of Ninam City. She was a Saintess candidate of the Elven race.

Maxwell Garfield saved her grandparents from being sacraficed by Dark mages. To show their thanks, Rima was taken as a disciple of an elven Six-Star Mage, and Max, Belén, and Leticia we're invited as honored guest to Ninam City.
Cultivation

# Human Realms

 2
Although one could not fly in the air at the Qi Condensation Realm, one could control the sword with Qi. Their figure would become like a bird, allowing them to step on the snow without a trace.
 3

# Human Immortal Realm

 11
 12

# Transcendence

Golden Immortals

Zenith Heaven

## Weapon Grades

* Mortal Weapon
* Spiritual Weapon
* Magic Treasure
* Spiritual Treasure
* Dao Artifact
* Immortal Treasure
Paper: Stevens (1994)

## Summary

Intro mentions that this paper is basically an extension of the Paper: Bane & Ellwood (1986) analysis from 1970-1981 to 1970-1987, plus two extra contributions:

1. Examines changes over time in exit rates
2. Explores the frequency of multiple spells of poverty

### I. Data and Methodology

* data from PSID 1968-1988 waves
* Exclude persons poor in the initial year of the survey
* Did *not* exclude one-year spells that resulted from income changes of less than half the needs standard (since cutoff is arbitrary).

### II. Exit Rates from Poverty Spells

She finds baseline poverty rates are very similar to Paper: Bane & Ellwood (1986) if replicating exactly. When not excluding these one year spells as mentioned above, she finds 1970-1987 exit rates of 0.53 for year 1, 0.36 for year 2, and less than 0.2 after 5 years.

Also: analysis on time trend vs. cycle, and looking into why such a time trend is significant for women but not for men. She mentions that there were only very small changes over time in the distributions of beginning and ending events among female-headed households, making it an unlikely explanation for this difference.

### III. Multiple Spells

One way to assess the importance of repeated spells of poverty is to examine the duration of subsequent nonpoverty spells. In the same manner as for poverty spells, exit rates were calculated (year 1: 0.27, year 2: 0.16, year 3: 0.11, year 4: 0.09, ...). Using these to calculate the share of poor-exiters that remain above the poverty line, more than half of them will return to poverty within five years. Repeated spells are especially common for those who come from longer poverty spells. Among those exiting a poverty spell of at least five years, fewer than one-third remain above the poverty line for the next five years.
Karvoun Wiki

**Welcome to the Karvoun Wiki!**
Archive for a personal worldbuilding project of mine.

We're a collaborative community website about Karvoun that anyone, including you, can build and expand. Wikis like this one depend on readers getting involved and adding content. Click the "ADD NEW PAGE" or "EDIT" button at the top of any page to get started!

## Important articles

PlaceholderA page about your topicPlaceholderA Main CharacterPlaceholderThe First EpisodePlaceholderAn Important LocationPlaceholderA Key EventPlaceholderA Crucial Item

*Need help building out this community?*

* Rules of this wiki
* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central!

*Community Founders*: Write a good and paragraph-length description for your welcome section about your topic. Let your readers know what your topic is about and add some general information about it. Then you should visit the admin dashboard for more tips.
Nine Mystic Sword Sect

## Section Header

### Grand Elder

* Zhang Zhihe
* Wu Ziyuan
* Lu Hao

### Elder

* Sun Mu
* Gao Changgong
* Tuoba Cheng
* Cui Helian
* Xu Haosheng
* Su Liang
* Su Yuan
* Bao Xu

### Direct Disciple

* Tang Chi
* Li Xixi
* Lu Yizeng
* Mu Eryi

### Inner Disciple

* He Xuanqi
* Ning Yushen
* Wang Hui
* Shen Muyang
* Su Chengyun
* Yang Shao
* Zhao Pu
* Zhao Youzhi

### Outer Disciple

* Huo Ping
* Jiang Han
* Lin Yuxia
* Qiao Qing’er
* Zhou Wen

### Member

* Han Muye
* Huang Six

### Former Member

* Mo Yuan
* Mu Wan

a sect
-logy

"-logy" is a **combining form** word (a word that is used, or used with a particular meaning, only when joined to another word).

Possible definitions include:

* a combining form used to indicate the science or study of, or to refer to bodies of knowledge; *musicology; paleontology; theology.*
* a combining form used to indicate writing, discourse, or body of writings; *trilogy*; *phraseology*; *martyrology.*

## Origin

From Latin *-logia*, from Greek, from the word *logos*.
Han Muye

Dual cultivates both spiritual and body cultivation. He is also an alchemist.

Chapter 83:

It was a surprise that his body tempering cultivation had increased to the ninth level of the Essence Energy Cultivation Realm.

His spiritual energy cultivation had only reached the sixth level, but it already made Han Muye a little depressed.

Pill Formulas: This jade slip not only contained the formula for the Essence Energy Nurturing Pill, but also a few other pill formulas for Essence Cultivation, Qi Condensation, and even Foundation Establishment. Also Cloud Qi pill.
Maximum-comprehension-taking-care-of-swords-in-a-s Wiki

**Welcome to the Maximum-comprehension-taking-care-of-swords-in-a-s Wiki!**
We're a collaborative community website about Maximum-comprehension-taking-care-of-swords-in-a-s that anyone, including you, can build and expand. Wikis like this one depend on readers getting involved and adding content. Click the "ADD NEW PAGE" or "EDIT" button at the top of any page to get started!

## Important articles

PlaceholderA page about your topicPlaceholderA Main CharacterPlaceholderThe First EpisodePlaceholderAn Important LocationPlaceholderA Key EventPlaceholderA Crucial Item

*Need help building out this community?*

* Rules of this wiki
* Getting Started
* How to Contribute
* Managing your new community
* Guides
* All Help articles

You can also be part of the larger Fandom family of communities. Visit Fandom's Community Central!

*Community Founders*: Write a good and paragraph-length description for your welcome section about your topic. Let your readers know what your topic is about and add some general information about it. Then you should visit the admin dashboard for more tips.
Maximum comprehension taking care of swords in a sword pavilion

## Introduction

Maximum Comprehension: Taking Care of Swords In A Sword Pavilion, is a Chinese novel series written by I Am Not A Chibi in Chinese language, translate by , released on webnovel platform. At the current time, the series is ongoing.
## Maximum Comprehension: Taking Care of Swords In A Sword Pavilion

File:22787603206415405 1654615164076.jpegAuthor I Am Not A ChibiChapters 1190Writing Status ongoingPublisher webnovelRating 3.85(76 Ratings)
## Story Summary

Han Muye, who had exceptional comprehension skills, was reborn into a cultivation world. He joined a clan which specialized in swordsmanship. He then became the keeper who looked after the swords in the Swords Pavilion. There were more than 100,000 swords stored in the pavilion. The keeper was tasked to clean all of them once a month. When Han Muge cleaned the Qinghe sword, he acquired a hint of Sword Qi. When he cleaned the Ziyan sword, he comprehended the swordsmanship, the Burning Plain, left behind by the original owner of the sword. He also acquired the Sword Qi of Burning Flame. When he cleaned the Shanyue sword, he comprehended the teachings left behind by Master Boulder and learned the Mountain Sword Technique. … Han Muye built up his Sword Qi bit by bit during the past 60 years working as a keeper in the pavilion. Throughout the 60 years, a disciple came to seek a sword in the pavilion, and he received guidance from Han Muye. The Sacred Maiden from the demonic clan attempted to steal a sword from the pavilion, but in the end, she left dejected and empty-handed. A swordsman came to challenge Han Muye, and he left with a broken sword. … 60 years later, the Celestial World invaded the mortal world. The disciple had become an exceptional Sword Deity. He wielded his sword and protected a part of the world. The Sacred Maiden had become the demonic clan leader. She sent a letter to the Swords Pavilion and led her clan to fight against the gods. The swordsman had achieved enlightenment in his swordsmanship. His Sword Qi rifled up to the sky. … The gods from the Celestial World loomed over the sky above. Han Muye slowly stood up. 100,000 swords followed him as he emerged from the pavilion. His Sword Qi could be sensed from 30,000 miles away, and his Sword Will pierced through the realms. He declared, “Today, I, Han Muye, will traverse the sky. I want to see who among the gods dares to invade this mortal world.”

You Can Read Maximum Comprehension: Taking Care of Swords In A Sword Pavilion From Webnovel
Red Flame Army

Rebels of Shuxi County. Left the central continenet to go to the western frontier to leave the heavenly mystic world and obtain longevity.

The Red Flame Pillar was a standard military weapon used by the Red Flame Army to temper the bodies of soldiers. It was not considered much in the Central Continent, but in the Western Frontier, it was a good treasure.
Basic Blood Mage Guide

## Introduction

Hello and welcome to the Blood Mage Guide! This guide will help you if your new or if you don't know what to do next for your adventures. also, if you just want to do it by the book this should be very helpful.

## Very Early Game

So, the very first item that the blood mage should get is the Mushroom Blood Stick as it is an early pre hardmode blood mage weapon also you could craft the Topaz Shuriken. And the Glownite Mending Book as that also should be one of the first things you should get because it is the earliest mending book in the game.

## Early Game

Now that you have your base set up time to explore! because you can get a Jungle's Staff as it would deal a good bit of damage for this stage of the game. But if you don't want to go to the jungle, try getting the Silver Blood Wand as it would also do good for this stage of the game. And if you don't want to do any of these you can go to the snow and get the Frost Bite. Also, it's time for some good old mending books there's two mending books that you can get at this stage! First the Sliver Lined Mending Book that's what I recommend you use but there's also the Fuzzy Mending Book that comes from the Snow Biome/Ice Biome. And not only that your able to get a helpful accessory! that accessory is the Crystal Mushroom as it will provide you with extra health.

## Pre-Early Mode Bosses

So, you're ready to start challenging some bosses? Well, the First boss is King Slime you probably don't need much to defeat him all you need is the Silver Blood Wand or a Jungle's Staff. Also, an Sliver Lined Mending Book will help as well.

The Eye of Cthulhu also won't need much to kill. all you really need is the same gear as that you used for King Slime

Skeletron is a bit more difficult than King Slime and Eye of Cthulhu, so you'll need a bit more difficult weapon to fight him with. That weapon is the Bloody Hell Staff and that's really the only thing new that you need to fight him with.

Queen Bee is no different than Skeletron gear wise other than you should have the Dungeons Rath as it shoots very fast witch can be helpful for Queen Bee.

## The Underworld Stage

Wow you dug a very deep hole! Now you'll be able to get the Bloody Hell Staff. The Bloody Hell Staff is a weapon that deals a far bit of damage. Also, you'll be able to craft the Hellish Mending Book which is one of the best mending books for pre hardmode.
Lebesgue Measure

In measure theory, the **Lebesgue** **measure** is a way to extend the classical notions of length, area, and volume (

# n
1
,
2
,
3

{\displaystyle n=1,2,3}

 respectively) to n-dimensional Euclidean space. It is the standard way of assigning measure to subsets of n-dimensional Euclidean space.

## Definition

For any subset

A
⊆

R

{\displaystyle A \subseteq \mathbb{R} }

, the Lebesgue outer measure,

λ
∗

(
A
)

{\displaystyle \lambda^\*(A)}

, with the length of an interval

a
,
b

{\displaystyle a, b}

 given by

ℓ
(
I
# )
b
−
a

{\displaystyle \ell (I)=b-a}

, is defined as

λ

∗

(
A
# )
inf

{

∑

n

ℓ
(

I

n

)
:
(

I

n

)

n

is a countable collection of intervals s.t.

A
⊆

⋃

n

I

n

}

{\displaystyle \lambda ^{\*}(A)=\inf \left\{\sum \_{n}\ell (I\_{n}):(I\_{n})\_{n}~{\text{is a countable collection of intervals s.t.}}~A\subseteq \bigcup \_{n}I\_{n}\right\}}

For any subset

A
⊆

R

n

{\displaystyle A \subseteq \mathbb R^n}

, fix an

n

{\displaystyle n}

 and define a box in

R

n

{\displaystyle \R^n}

 as

# i
1

n

[

a

i

,

b

i

]

{\displaystyle B=\textstyle \prod \_{i=1}^{n}[a\_{i},b\_{i}]\displaystyle }

 where

b

i

≥

a

i

{\displaystyle b\_{i}\geq a\_{i}}

, with its volume defined as

v
o
l
(
B

# i
1

n

(

b

i

−

a

i

)

{\displaystyle vol(B)=\textstyle \prod \_{i=1}^{n}(b\_{i}-a\_{i})\displaystyle }

. Then, the Lebesgue outer measure,

λ
∗

(
A
)

{\displaystyle \lambda^\*(A)}

, is defined as

λ

∗

(
A
# )
inf

{

∑

n

v
o
l
(

B

n

)
:
(

B

n

)

n

is a countable collection of boxes s.t.

A
⊆

⋃

n

B

n

}

{\displaystyle \lambda ^{\*}(A)=\inf \left\{\sum \_{n}vol(B\_{n}):(B\_{n})\_{n}~{\text{is a countable collection of boxes s.t.}}~A\subseteq \bigcup \_{n}B\_{n}\right\}}

Note: the intervals

(

I

n

)

n

{\displaystyle (I\_{n})\_{n}}

 can be open, closed, half open, etc. doesn't matter. I think the same holds for the boxes?

## Expand this entry

Sources to expand this entry:

* https://e.math.cornell.edu/people/belk/measuretheory/LebesgueMeasure.pdf
* https://people.math.harvard.edu/~shlomo/212a/11.pdf

1. ↑ Note that the box is defined as a set, so that the first product is the Cartesian product, where its volume is a real number so that the product is the standard numerical product.
Jin Ze

Jin Yishui, the Sect Master of the Nine Mystic Sword Sect

“I, Jin Ze, entered the Nine Mystic Sword Sect at the age of 13. I entered the inner sect from the outer sect and reached the Foundation Establishment realm in three years. I’m considered the hope of the sect.”

“At the age of 32, I perfected the Foundation Establishment realm and entered the Earth Realm. I was considered invincible among my peers and was known as for controlling metal.”

“I’m in charge of two lineages and was nurtured by the sect for a hundred years to become the youngest sect master of the Nine Mystic Sword Sect.”

## Cultivation Progress

 6
Soul Realm
Heaven and Earth Barrier

The Heaven and Earth Barrier isolated the four regions. The Central Continent was a cultivation resource. The cultivation world was far stronger than the four regions. Not only could the Heaven and Earth Barrier protect the spiritual energy of the Central Continent, but it also indirectly protected the four regions. If the Central Continent’s forces crossed this barrier and expanded to the four regions, it would really be a nightmare for the cultivation world of the four regions.

It’s said that one has to reach the Core Formation realm to pass through this Heaven and Earth Barrier. There were also people who could enter with the entry tokens distributed by the large factions in the Central Continent.
Sources of productivity growth

Productivity: the output produces with a given set of inputs (labor, capital, land?).

* Specialization
* Education
* Practice/skill
* Machine improvement/technology
* Process organization/simplification/clarity
* Resource reallocation/misallocation change (this is more at the economy-wide level)
* Factor utilization

## Sources

Nordhaus wrote a 3-paper series. see e.g. this.
Definition of Capitalism

Make an overview of what defining features/properties/characteristics/qualities defines the idea/system of capitalism.

* Free markets
* Private property
* Enforcement of property rights/rule of law
* Freedom of enterprise
* etc ???

Inspired by reading Book: The Worldly Philosophers, and seeing communism/capitalism defined as the existence or absence of private property. Got me asking: before first industrial capitalism, was there really a lesser degree of private property? My intuition was that there was a lesser degree of markets, not property rights.
Independence

In the standard literature of probability theory, statistics, econometrics and stochastic processes, **independence** without further qualification usually refers to mutual independence.

Of:

* Events
* Random variables
* Random vectors
* Stochastic processes
* Sigma-algebra's

Pairwise independence

K-wise independence

Mutual/collective independence

Note: possible to have triple independence, but not pairwise independence.

Conditional independence (separate page?)
Paper: Jenkins (2000)

This is a revised version of Presidential Address to the European Society for Population Economics Twelfth Annual Congress, Amsterdam, 4-6 June 1998.

## Summary

### 1. Introduction

This lecture is about the longitudinal dynamics of personal economic well-being; the patterns of chance of needs-adjusted net household income for each person in the population.
Limit (mathematics)

* Limit of a sequence
	+ Sequence of reals
	+ Sequence of sets
	+ Cauchy sequences
* Limit of a function
* In Euclidean, metric, topological, and function space
* Limit of a net
* Infinity as a limit
* One-sided limit
* Existence
* Limit sets
* Lim sup, lim inf
* Relation to definition of continuity
* Relation to definition of derivative
* Properties of (different types of) limits, operations on limits
* Squeeze theorem
* Modes of convergence
* Multiple-index sequences, double limit, pointwise/uniform limit
Independence (probability theory)

When dealing with collections of more than two events, there are two different notions of independence. A finite set of events

{

A

i

}

# i
1

n

{\textstyle \{A\_{i}\}\_{i=1}^{n}}

is,

* **Pairwise independence**: if every pair of events is independent,

P
[

A

j

∩

A

k

# ]
P
[

A

j

]
P
[

A

k

]

{\displaystyle P[A\_{j}\cap A\_{k}]=P[A\_{j}]P[A\_{k}]}
* **Mutual independence**: if every event is independent of the intersection of all subsets of the set of remaining events, that is iff:
	+ For any event

	A

	i

	{\displaystyle A\_{i}}

	, we have

	P
	[

	⋂

	j
	=
	1

	k

	A

	i

	j

	]
	=

	∏

	j
	=
	1

	k

	P
	[

	A

	i

	j

	]

	{\textstyle P[\bigcap \_{j=1}^{k}A\_{i\_{j}}]=\prod \_{j=1}^{k}P[A\_{i\_{j}}]}

	 for every

	k
	≤
	n

	{\displaystyle k\leq n}

	 and for every subset of this size with indices

	1
	≤

	i

	1

	<
	⋯
	<

	i

	k

	≤
	n

	{\displaystyle 1\leq i\_{1}<\cdots <i\_{k}\leq n}
	+ Or equivalently but without possibly confusing indices: For any event

	A

	i

	{\displaystyle A\_{i}}

	, we have

	P
	[

	A

	i

	∩
	(

	⋂

	j
	=
	1

	k

	A

	j

	)
	]
	=
	P
	[

	A

	i

	]

	∏

	j
	=
	1

	k

	P
	[

	A

	j

	]

	{\textstyle P[A\_{i}\cap (\bigcap \_{j=1}^{k}A\_{j})]=P[A\_{i}]\prod \_{j=1}^{k}P[A\_{j}]}

	 for any

	1
	≤
	j
	<
	k
	≤
	n

	{\displaystyle 1\leq j<k\leq n}

	. (NOTE: DO WE HAVE TO EXCLUDE A\_i ITSELF FROM HERE?)

When people refer to independence without being specific, this generally means mutual independence.

## What does it look like on a Venn-diagram?

See math notes #8 intermezzo. This video was useful/could be embedded on this page.
Book I Chapter VII: Who Devaki really is

> It was nice on the island with Brigitta. But, after all these jokes, Nila said that it doesn't seem like the girls are slaves, because they seem to be having a good time. Brigitte became serious. It was the first time I saw her so serious. He told us that everyone is controlled by a lady named Devaki and that there are demons who serve her. And something tells me that Brigitta's friend is also a demon, and quite a powerful demon at that. Brigitta believes in the Ten Demonic Moons. We didn't know what it was. Brigitta just pulled out a note with some statistics. It was given to her by Yioko, the lady from Japan. Brigitta didn't even understand what the note said. So we went to Yioko and Li - Xiao for details. (Fue agradable en la isla con Brigitta. Pero, después de todas estas bromas, Nila dijo que no parece que las chicas sean esclavas, porque parece que se lo están pasando bien. Brigitte se puso seria. Era la primera vez que la veía tan seria. Nos dijo que todos están controlados por una dama llamada Devaki y que hay demonios que la sirven. Y algo me dice que la amiga de Brigitta también es un demonio, y un demonio bastante poderoso. Brigitta cree en las Diez Lunas Demoníacas. No sabíamos qué era. Brigitta acaba de sacar una nota con algunas estadísticas. Se lo regaló Yioko, la señora de Japón. Brigitta ni siquiera entendió lo que decía la nota. Así que acudimos a Yioko y Li - Xiao para obtener más detalles.)
>
>

Yioko : The Jū Kizuki, as they are called in japanese, is an organization of the ten most powerful demons in existence who are under the direct command of the Demon Queen, Devaki.

Nila: Who is Devaki

Li - Xiao: Devaki is the Demon Queen, the first of her kind, and the progenitor of all other demons in existence.

Yioko: As the Demon Queen, Devaki can control all those who have assimilated her blood to become demons.

Brigitta: How did she become a Demon?

Li - Xiao: A millennium ago, during the Heian Era, Devaki was turned into a demon during an experimental treatment trying to cure her terminal illness, and her goal since then was to live without the fear of death and become truly eternal. She plans to accomplish this in two ways: finding the Blue Spider Lily or creating more demons in hopes that one day one would be able to conquer their weakness of sunlight.

Yioko: Devaki places a curse on all demons that have assimilated her blood. If any demon divulges her last name "Khatri" out loud, the curse activates, which causes their bodies to stop regenerating and allowing Devaki's cells inside the demon to take over and kill them, regardless of their original intent.

> Devaki and The Jū Kizuki are... the worst villains in existence. (Devaki y The Jūni Kizuki son... los peores villanos que existen. )
>
>
>
Lagrange Multiplier Method

In an unconstrained optimization problem we set the gradient of a function equal to zero. The Lagrangian transforms the constrained optimization problem into an unconstrained optimization problem.

Since

λ

{\displaystyle \lambda}

 is the ratio between the gradients it shows how fast the optimal value changes as the (budget) constraint is relaxed;

# λ

∂

f

m
a
x

∂
B

{\displaystyle \lambda ={\partial f^{max} \over \partial B}}

.

If the gradient of the objective function and the gradient of the constraint function are proportional at a certain point, then this point is an optimal point.
Cardinality

The **cardinality** of a set is a measure of the number of elements in the set. In a finite set such as

# A
{
a
,
3
,
7
,
1

/

2
,
K
}

{\displaystyle A=\{a,3,7,1/2,K\}}

 the number of elements can simply be counted; hence the cardinality of this set is

A

=
5

{\displaystyle |A|=5}

.  This idea is generalized by the theory of cardinality and enables us to distinguish different types of infinity.

Cardinality then provides a way to systematically think about the number of elements in a set. This is also referred to as the **size of a set**, though this can be confusing if there is more than one possible notion of size in a given context.

There are two approaches to cardinality:

1. Compare sets using bijections and injections
2. Use the *cardinal numbers*

--> I have skipped this for now as especially the 2nd approach seemed lower priority. Should add this, possibly also a separate page on the cardinal numbers.

## Finite, countable and uncountable sets

Let be a set. Then,

X

{\displaystyle X}

 is a:

* **Finite set**: if its cardinality is less than that of the natural numbers

	X

	<

	N

	=

	ℵ

	0

	2. There exists an injective function

	f
	:
	X
	→

	N

	{\displaystyle f:X\to \mathbb {N} }

	, but not a bijective one
* **Countable set**: if its cardinality is equal to that of the natural numbers

	X

	=

	N

	=

	ℵ

	0

	2. There exists a bijective function

	f
	:
	X
	→

	N

	{\displaystyle f:X\to \mathbb {N} }
* **Uncountable set**: if its cardinality is great than that of the natural numbers

	X

	>

	N

	=

	ℵ

	0

	2. There is no injective (hence no bijective) function

	f
	:
	X
	→

	N

	{\displaystyle f:X\to \mathbb {N} }

## Other properties

* a subset of a countable set is countable
* the Cartesian product of two countable sets is countable
* the rational numbers are countable
* a countable union of countable sets is countable
* a countable sequence of closed non-empty nested intervals has a non-empty intersection
* the real numbers are not countable

The proof of the last is in math notes, and uses the second last property.

## Footnotes

1. ↑ The cardinality of a set is usually denoted by

A

=
5

{\displaystyle |A|=5}

. Alternatively,

n
(
A
)

{\displaystyle n(A)}

,

card

(
A
)

{\displaystyle ~{\text{card}}~(A)}

, or

#
A

{\displaystyle \#A}

 are used.
2. ↑ Note the connection with the natural numbers also being called the *counting numbers*.
Topological Space

A **topological space** is, roughly speaking, a geometrical space in which *closeness* is defined but cannot necessarily be measure by a numeric *distance*. More specifically, a topological space is a set whose elements are called points, along with an additional structure called **topology**, which can be defined as a set of neighborhoods for each point that satisfies some axioms formalizing the concept of closeness.

A **topological space** is the most general type of mathematical space that allows for the definition of limits, continuity, and connectedness. Common types of topological spaces include Euclidian spaces, metric spaces, and manifolds.
Karush–Kuhn–Tucker conditions

In mathematical optimization, the **Karush-Kuhn-Tucker (KKT) conditions** are first derivative tests (sometimes called first-order necessary conditions) for a solution in nonlinear optimization to be optimal, provided that some regularity conditions are statisfied.

Allowing inequality constraints, the KKT approach to nonlinear optimization generalizes the method of Lagrange multipliers, which allows only equality constraints.
Probability Space

A **probability space** (a.k.a. **probability triple**) is a mathematical construct that provides a formal model of a random process or experiment.

## Definition

A probability space is a triple

(
Ω
,

F

,
P
)

{\displaystyle (\Omega, \mathcal F, P)}

 consisting of:

* A **sample space**,

Ω

{\displaystyle \Omega}

, which is the set of all possible outcomes/states of the world
* An **event space**,

F

⊆

2
Ω

{\displaystyle \mathcal{F} \subseteq 2^\Omega}

, which is a sigma-algebra where each element is a event (a set of outcomes)
* A **probability measure/function**,

P
:

F

→
[
0
,
1
]

{\displaystyle P: \mathcal{F} \to [0,1]}

, that is countably/sigma-additive, which assigns to each event in the event space a number between zero and one, where

P
(
Ω
# )
1

{\displaystyle P(\Omega)=1}

.
Paper: Hoynes, Page & Stevens (2006)

## Dimensions of Poverty

Here, summarize some basic facts about poverty in the US based on data from (1) the Census Bureau, or (2) the CPS, and using the Census Bureau's official poverty definition.

### Persistence of Poverty

Basically, they discuss Bane & Ellwood (1986) and Stevens (1999) in one paragraph each

### Measuring Poverty

* US Census Bureau official poverty thresholds
* Adjusted versions of the above of: (1) a household poverty rate, and (2) a 'little' family poverty rate.\
* Possibility to include in-kind benefits/transfers
* 1995 National Research Council report/recommendations

## What Explains Trends in Poverty Rates?

Discuss four determinants of changes in the poverty rate from the literature.
Thought Wiki

**Welcome to my personal Econ Thought Wiki**
Documenting econ-related thought

All pages | Thought Wiki | Fandom

## Pages to Add

* Geometric Series
* Permutations, Combinations, Binomial Theorem (latter maybe separate?)
* Sampling order/unordered, with/without replacement
* Inverse Transform Method
* Basics of set theory. (see math notes, Casella & Berger Ch1 for what is relevant for prob. theory, another text to see what is relevant for measure-theoretic prob theory, etc.)
* Relations of algebra, field, preorder, ordered field, sigma-algebra, boolean group, Albelian group, lattice, etc.
* Manifold
* Martingale
* List of all different spaces I can think if/ever run into.
* Root of a function
* Fractions (different types, etc.)
* Rules of mathematical Logic

## Series to Add

* Probability Theory
* Game Theory
* Consumer Theory