recursal/Fanatic-Fandom huggingface dataset:
Measure and Integral Wiki

**Welcome to the Measure and Integral Wiki!**
A wiki dedicated to Wheeden and Zygmund's Measure and Integral textbook

Sandbox (use this page to experiment with the wiki code)

* Chapter 2
* Chapter 3
* Chapter 4
* Chapter 5
* Chapter 6
* Chapter 7
* Chapter 8
* Chapter 9

## 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.
8-9

Question: If

f

{\displaystyle f}

 is real-valued and measurable on

E

{\displaystyle E}

,

E

>
0

{\displaystyle |E|>0}

, define its essential infimum on

E

{\displaystyle E}

 by

e
s

s

E

inf
# f
sup
{
α
:

x
∈
E
:
f
(
x
)
<
α

=
0
}
.

{\displaystyle ess\_{E}\,\inf f=\sup\{\alpha :|x\in E:f(x)<\alpha |=0\}.}

If

f
≥
0

{\displaystyle f\ge0}

, show that

e
s

s

E

inf
# f
(
e
s

s

E

sup
1

/

f

)

−
1

.

{\displaystyle ess\_{E}\,\inf f=(ess\_{E}\,\sup 1/f)^{-1}.}

Solution: The essential infimum on

E

{\displaystyle E}

 is the supremum of all

α

{\displaystyle \alpha}

 such that

f
(
x
)
≥
α

{\displaystyle f(x)\geq \alpha }

 except for on a subset of measure zero. If we assume

α

{\displaystyle \alpha}

is positive,

e
s

s

E

inf
f

=
sup
{
α
:

x
∈
E
:
f
(
x
)
<
α

=
0
}

=
sup
{

α

−
1

:

x
∈
E
:
f
(
x
)
<

α

−
1

=
0
}

=
inf
{
α
:

x
∈
E
:
f
(
x
)
<

α

−
1

=
0

}

−
1

=
inf
{
α
:

x
∈
E
:

f

−
1

(
x
)
>
α

=
0

}

−
1

=
(
e
s

s

E

sup
1

/

f

)

−
1

since

e
s

s

E

sup
# f
inf
{
α
:

x
∈
E
:
f
(
x
)
>
α

=
0
}
.

{\displaystyle ess\_{E}\,\sup f=\inf\{\alpha :|x\in E:f(x)>\alpha |=0\}.}
Focus

**Focus** is a flash animation created by Wally Bartus on Albino Blacksheep on 2007

The animation invites the player to focus on "*the center circle for about 20 seconds and then look at any flat surface*", After 10 seconds, a woman's rear appears with a fart noises, followed by a text that states: "Gotcha, didn't I? Hahaha!".

## External Link

Please note that this screamer contain pornographic content and the link was unclickable.

* albinoblacksheep.com/swf/prank/focus(www.albinoblacksheep.com).swf
Rightxd.org

**Rightxd.org** is another website that is similar to Shafou.com, the website was registered in 2015 and doesn't exist anymore in 2019.

The website stays on a black background for a minute (regarding there is nothing but suddenly a flashing picture of a girl smiling with no eyes quickly zooms in with a loud scream, the creator noted that "This site has never been and never will be a scare.", on the previous content of the page is a flashing picture of Regan MacNeil while keeping the scream, on September 2015 to August 2016, the site redirects to multiple now-deleted videos such as Head Horse and Cosplay.

There is also a chat which is accessible by typing: "/chat" on the "rightxd.org" part.

The creator originally hosted rightxd.com, but it also contains a screamer when entering the /666 section, this link redirects to a flashing picture of Amy from Fright Night.

## Link

NOTE: Please do not click any of these links if you are prone to seizures.

* The site itself.
* the one with Regan MacNeil
Perverted Scary Flash

**Perverted Scary Flash** is an animation that was designed to trick users thinking the animation provide any pornographic content,

The game starts with a spanish text and a button, However, clicking on the button leads to a picture of a skull along with a Homer Simpson screen followed by an image of a bedroom which doesn't represent anything on the screamer itself.
Basement Ghost

**Basement Ghost** is an animation created by patlee\_69 and hosted on Geocities in 2002, the animation also uses the same concept from What's Wrong?

The animation asks the viewer to find a ghost located on a low-quality, old, dark basement, with no music playing, However, after 22 seconds, a picture of a purple zombie from The Evil Dead appears with a loud, echoing scream.
What's Wrong?

**What's Wrong?** (also known as **What's Wrong With This Picture?** or **What's wrong with this image?**) is a screamer flash animation created by Jeremy Winterrowd, the creator of The Maze, made in 2002.

## Animation

The animation disguises as a normal kitchen room, which consists of two open windows, a table, three chairs and paintings, as the player is asked to find something wrong with the image. However, after 30 seconds, a picture of an eyeless girl with a wide mouth appears with a man screaming, as the animation will repeat afterwards.

## Impact

Because of how this animation is so effective, it was later popularized in 2002 to 2010, there are multiple clones of this screamer that came up with the same concept, such as Forest-wmv or Basement Ghost.

The oldest copy was from TeKZoned.
Bloodlust 2 Skills

Most skills have prerequisites based upon Reputation with the vairious clans or character class. You must meet all requirements, for example if you are a Thief you cannot put points in the Fire skill.

**Vampire Gaze** (Bugata rep)

* Speed up or slow down using mouse wheel. There is a quest which can be completed only if you have level 3 in this skill, cannot remember which quest.

**Secret Sight** (Zenchi Rep)

**Warp**

**Fire** (Witch)

**Freeze** (Witch)

**Shock** (Witch)

* Shock damage can decrease the enemies regen

**Transform** (Bugata rep)

* No shooting/crouch in Beast Form
* Less Likely to be Stunned in Beast Form

**Intimidate** (Zenchi rep)

* Can interrogate Vi Tao Guards (only in Sewer Dungeon)
* Faster intimidate skill based on skill level

**Absorb**

**Night Strike** (Bugata rep)

**Bite**

* Grants the ability to sire a minion. 1 Minion gained at levels 2, 4, 7, 10, 15, 20. Minion will begin at the skill's level.

**Poison Slam** (Bugata rep)

**Disarm** (Zenchi Rep)

* Disarms Traps

* Disarm skill chances (5% x Disarm Skill Level)
* Level 1 Disarm skill will still only disarm 24% of trapped containers (but scrolls and some other items will never be destroyed so it may be worth it to disarm fail/bash them anyway)
* chance to get bomb or bomb ingredient

**Back Stab** (Wesp Rep)

* Must have knife or dagger

**Trap** (Vi Tao Rep)

* Player can now get damage from Thief Traps (However, player will never trigger them)

**War Totem** (Ubuanto Rep)

* Will attack and kill Victims.
* Good against Glow Beasts

**Blood Strike** (Ubuanto Rep)

* Damage is (1 + (.1 x skill level) x Current Damage)

**Shield Bash** (Ubuanto Rep)

* Shield bash is an AOE skill which freezes and damages all nearby enemies.
* Bonus damage against closer enemies using 1/8 of shield's armor

**Rat Swarm** (Wesp Rep)

* Bosses are 75% resistant

**Summon Spider** (Vi Tao rep)

* Bosses are 75% resistant

**Call Crow** (Zenchi rep)

* Bosses are 75% resistant

**War Shriek** (Wesp Rep)

* Enemies higher than 60 resistant to war shriek
* If an enemy has been scared with War Shriek any damage (melee attack, fire skill, traps, crows, etc.) it receives will be multiplied.
* War Shriek Damage = Damage + ((War Shriek Skill Level x .04) x Damage)
* Lasts for 8 seconds

**Spirit Strike** (Zenchi rep)

**Poison Rain** (Bugata Rep)

**Double Strike** (Ubuanto Rep)
The Amazing Dancin' Cats

**The Amazing Dancin' Cats** is a flash screamer animation made by Dycaite on 2006, This animation used to be lost but later found on the coreyandjayshow website.

The animation first begins with a text that reads: "Proudly Presentin...", then, the curtains rolls up to reveal 3 cats dressed as woman dancing, only to be interrupted by a picture of a woman with glass eyeballs along with a loud scream, after this, the credit is shown revealing the date of the screamer and the creator's name.
Delasse komodo

es lo que se modela como un V8 de árbol de levas único, junto con una caja de cambios de 5 velocidades. El motor se siente bastante restringido en términos de potencia, lo que resulta en una aceleración bastante tórpida en el rango medio. Esta escasez de fuerza bruta no parece haber limitado la velocidad máxima a tal grado. Una cosa que este coche puede hacer excepcionalmente bien es la curva. A pesar de ser un automóvil estadounidense clásico grande y desgarbado, cuando se lo lleva al límite es perfectamente capaz de atacar las curvas con vigor con solo la mera sugerencia de sobreviraje, siendo un arma ideal de elección en carreras de autos clásicos. También se desliza en las curvas con tal docilidad cuando se conduce de manera relajada, aunque incluso a bajas velocidades el balanceo de la carrocería puede ser pronunciado. Los viejos tambores detrás de las ruedas hacen que el frenado sea bastante pobre.
Prince's Blank Site

**Prince's Blank Site** is a shock site made in 2019.

the site contains several pornographic artwork, with some of the images containing scat and farting including Rule 34 of Pokemon shows **Chespin** pooping on the ground and more, as the website name suggest that this is made from a free hosting site called *"webflow.io"*.

## External Link

Please do not enter if might be contains pornography.

• princes-blank-site-bf27be.webflow.io
Fatal Darkness

**Fatal Darkness** was an animation made by MJBDiver on 2003.

The animation displays a picture of a window in a dark room, followed by cricket noises, a clock tick and footsteps, However, the screen suddenly stays on a black screen for a few seconds, then, a face of a ghost appears with a scream, after this, the replay button appears.
Bloodlust 2 Armour

Max Resistance found on any item is 20%

Total Resistances are maxed at 89%

All shields have 10% chance to absorb ALL damage

Legendary loot has +1 skills on it.

Max crit is now 9% on any one item

Equipment items with good Armor can increase ability to absorb physical damage (increase resistances to absorb other types of damage)

How armour works

Damage received = Damage - (Armor / 10)

If the damage is from fire...

End Result Damage = Fire Damage - (Fire Damage x (Fire Res x .01))
Backwards Music

**Backwards Music** is a screamer animation made by Zephret, the same creator of the infamous screamer animation *My Grandmother's Murder*, and was uploaded to Newgrounds in June 29th, 2004.

## Description

PLEASE READ BEFORE WATCHING:

Apparently when you play music backwards, you hear messages, either on purpose or accidental. This movie explores several clips and shows you exactly what they say.

Madonna accidentally admits she's murdered someone, Britney Spears wants you to screw her, and Queen are getting a little too high... All this and more in Strange Occurrences: Backwards Music.

## Animation

The animation starts off with text stating: "When music is played backwards... Messages can be heard... Are these diliberate? ...or something more sinister? You decide for yourself", followed by a grey text that says "you decide" zooming in to the screen in a fast pace, as the text fades out.

After the introduction, we then see text that says, "Part 1: Madonna admits she's murdered someone in Die Another Day", as the animation begins to talk about the information of the James Bond film *Die Another Day,* which features Madonna's hit title track with the same name, and as well as the information about the release of the said movie, and also states to the viewer if the song contains a hidden message in the song's lyrics.

Then, the viewer is told to play an extract of the song from the movie, and when the extract is finished, the viewer is then told to play the song backwards, as the same extract plays again but in reversed. However, after a few seconds, a picture of a lizard boy appears on the screen and zooms in with a loud high pitched scream, scaring the viewer, followed by a text stating "Gullible, aren't you?", as the text fades out, ending the animation.

## Trivia

* During the introduction of the animation explaining that messages can be heard when a song is played backwards, the word "deliberate" is misspelled as "diliberate".
* Additionally, when the "Part 1: Madonna admits she's murdered someone in Die Another Day" text shows up, Madonna's name is misspelled as "Maddona", and during the animation's information about Madonna's hit title track, Madonna's name is also misspelled as "Moddona".
* The animation is similar to a screamer animation known as *Jingle Bells Reversed*, which is a screamer animation made by Daniel Fowler, and was originally found on Newgrounds in 2004.

## References

1. ↑ https://www.newgrounds.com/portal/view/178210
Shafou.com

**Shafou.com** is a now-defunct website that circulates around the internet as it can be used in bait and switch style.

Meu cu tá ardendo displayed a picture of Regan MacNeil along with the scream from The Maze, since its an animated file embedded, it will loop over and over, not to mention that clicking on the image apparently sends the link to someone in the user's facebook account, if the user is not login, it redirects to the Facebook's login page instead.

the creator may have been hosted another site under the domain "Shafou.net", tsesite displayed multiple colored links which supposedly leads to porn websites.

This origin of the animation was from killerjo.net (which is more older than this screamer itself, it is basically the same thing what this site shows expect for one part that it doesn't contain a script that leads.)

There are also multiple mirrors of the screamer, one of them that contains another script that locks the MP4 sound to 50%.

## External Links

* The site itself.
* The one that locks the mp4 sound.
Sacred 2

Just some handy references etc I have picked up over the years

Links:

Darkmatters Home of the Sacred 2 Wiki and the Community Patch

MD-Savegame Manager This tool is a good way of backing up your characters and storing items (muling). I couldn't find a download link anywhere so I have uploaded it here. It includes copies of most sets and so on which you can use to test builds etc

Character Editor Useful for correcting mistakes you have made with your character or perhaps just experimenting with different builds.
ThordTV Wiki

**Welcome to the ThordTV Wiki**
ThordTV is a YouTube Channel which you can find here

Bloodlust 2: Nemesis a "Hack 'n Slash - Dungeon Crawling - Action RPG" experience.

Starfield

Grim Dawn

Sacred 2 Some useful utilities and links

X4: Foundations Mission walkthroughs, tips and notes.

STALKER Anomaly

Baldur's Gate

Kingdom Come: Deliverance

Guild Wars 2

Diablo and Hellfire

## 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.
Bloodlust 2 Item Durability

Weapons are damaged when used. Including when hitting objects such as Pillars and Book cases.

Alchemy tables repair broken Items (1% Durability), no cost.

Repair kits are rare loot drops or can be purchased from the Antique Shop vending machine, Downtown South for $500.

Destroyed items can only be restored using Mutant Plasma (rare drop).
Bloodlust 2 Character Attributes

Strength

* For every 12 points in Strength adds 1 point in attack damage.

Dexterity

* Adding to Dexterity increases chance to Block Attacks, Avoid Attacks, Adds Range Damage, Increases Sweet Spot in Locks (making it easier to lockpick)

Charisma

* Adding to Charisma increases your Max Spiritforce.
* Spiritforce regen is faster if over 400 (uses regen percentage based on max mana)

Vitality

* Adding to Vitality increases your Max Health.

Intelligence

* If intelligence is over 50 then it gives a 50% chance to gain 1/8 of current intelligence in cash bonus during level up.
* Level 1 to 7 (or with an INT > 50) = Free Talent point with each level up
* Level 8+ (and with INT < 50) then Chance for Talent Point = INT > Random number 1 and 50
* Short version is that if your Intelligence is 51 or more you will get a Talent Point every time you levelup. The only thing Intelligence does is to influence whether or not you get a Talent Point so adding more than 51 is a waste of time.

Persuasion

* Affects Dialogue and Intimidation choices
Bloodlust 2 Minions

Minions won't attack levitated guards (Intimidate)

Can revive Dead Minions in Wraith's Lair (limited time)

Set XP to next level to 0 on revived minions (From patch notes, could mean after death).

Minion Revive penalty -1 attributes

Can loot rare items if Charisma is at 40 or above.

Newly Sired Minion's level starts at Bite skill level

Sired Minions attack hunters but Hunters are immune to their damage. Just looks better than having Minoions watch you do battle.

Minions have health equal to Vitality x 8

Minions have increased resistance to getting hurt (Max damage from any enemy is 15)

Minions have a 10% chance of getting Killed when health drops to zero.

Minions get more XP the lower they go past floor 5 ((Floor/5)+1 x XP)

Minions will teleport if they get too far away (when not attacking)
Capturing a Sector

To capture a Sector you must have an Administrative Center in that Sector and there must be no Administrative Center present which is owned by another Faction (including Xenon).

The Admin Center is in the Defence section when building any Station, along with Defense Discs etc. The Blueprint can be bought but it can also be obtained using an EMP Bomb just like any other Module.

Within your station the Administrative Center must be the first Module that is built. To be sure of that start a new Station, place the Admin Center and nothing else, when it is finished and the Construction Vessel is leaving add whatever else you want to build. I go for a Defense Platform, it is fast to build and obviously it is well defended which is of paramount importance because you will probably be building in a hostile Sector.

Building in a hostile Sector is not easy of course. I save the game, design the station, write down the materials needed then load that save. Next I gather all of the materials in one of my other stations and move them to the new construction site myself to speed things up. Tip, you have infinite storage at every one of your stations, the building platform (sorry I forget the exact name). If you just hand a lot of money over to the Construction Vessel you will probably have your station it might never be built but it will be destroyed.

You will have to destroy all other Administrative Centers belonging to any/all races. Spacesuit Bombs were nerfed ages ago so they will not do it. You can try messing about with normal mines but I never have. I would just attack the station and take the drop in reputation. If you destroy a friendly station your rep will drop from +30 to about -15.

Note that as soon as you destroy a station it is likely that the game will start to replace it. You will have to stop that happening until the Sector is yours. Just go to the construction site and keep destroying whatever appears on the Construction Platform or kill the Construction Ship. There will probably only be traders at the site so they wont shoot at you.

The time between becoming the owner of the only Administrative Center and you taking ownership of the sector can be up to 30 minutes.

If the loss of Reputation bothers you there is a mod called "Cheat Menu" at the Steam Workshop that can fix that for you as of 22dn October 2021.
Starfield

* Navigation Console
* Bed
* Galley
* Passenger Slots

**Armory**

* Weapon and Armor Storage and Display

**Battle Station**

* Navigation Console
* Crew Stations
* Brig
* Bed
* Storage

**Captain's Quarters**

* Bed
* Galley
* Storage

**Cargo Hall**

* Storage

**Companionway**

* None

**Computer Core**

* Storage

* Crew Stations

**Control Station**

* Crew Stations
* Galley
* Storage

**Cross**

* None

**Engineering Bay**

* Storage

**Infirmary**

* ・Pharmaceutical Lab
* ・Research Lab

**Living Quarters**

* Bed

**Mess Hall**

* Cooking Station
* Galley

**Science Lab**

* Pharmaceutical Lab
* Research Lab
* Galley

**Storeroom**

* None

**Workshop Hab**

* Weapon Workbench
* Spacesuit Workbench
* Industrial Workbench
* Research Lab

**Galley** Prepare Food Items

**Industrial Workbench** Craft Components

**Pharmaceutical Lab** Craft Aid Items

**Research Lab** Complete Research Projects

**Spacesuit Workbench** Craft and Equip Armor Mods

**Weapon Workbench** Craft and Equip Weapon Mods

**Bed** Fast forward time and replenish health

**Chair** Fast forward time

**Crew Station and Passenger Slots** Increases ship's NPC capacity

**Navigation Console** Opens Starmap

**Storage** Allows storage of equipment and items without taking up the ship's cargo space

### Best Ship Hab Interiors to Get Early

Workshop Hab Unlocks Crafting Workbenches

Add Workbenches to Ship

Hab Additions Function

Weapon Workbench Craft and Equip Weapon Mods

Spacesuit Workbench Craft and Equip Armor Mods

Industrial Workbench Craft Components

The Workshop Hab module is the best ship part to get early. It adds weapon, spacesuit, and industrial workbenches to your ship that allows you to craft weapon mods, armor mods, and components respectively using resources and materials.
8-11

f

k

→
f

{\displaystyle f\_{k}\rightarrow f}

 in

L

p

{\displaystyle L^{p}}

,

1
≤
p
<
∞
,

g

k

→
g

{\displaystyle 1\leq p<\infty ,g\_{k}\rightarrow g}

 pointwise, and

‖

g

k

‖

∞

≤
M

{\displaystyle \left\|g\_{k}\right\|\_{\infty }\leq M}

 for all

k

{\displaystyle k}

, prove that

f

k

g

k

→
f
g

{\displaystyle f\_{k}g\_{k}\rightarrow fg}

 in

L

p

{\displaystyle L^{p}}

.

‖

f

k

g

k

−
f
g

‖

p

≤

‖

f

k

g

k

−
f

g

k

‖

p

‖

f

g

k

−
f
g

‖

p

≤
M

‖

f

k

−
f

‖

p

‖

f

g

k

−
f
g

‖

p

.

Since

g

k

→
g

{\displaystyle g\_{k}\rightarrow g}

 pointwise and since

g

k

≤
M

{\displaystyle \left|g\_{k}\right|\leq M}

 a.e., it follows that

g

≤
M

{\displaystyle |g|\leq M}

 a.e., so

g

k

−
g

≤
2
M

{\displaystyle \left|g\_{k}-g\right|\leq 2M}

 a.e. Thus,

∫

f

g

k

−
f
g

p

≤
∫
(
2
M

)

p

f

p

<
∞
,

so

f

g

k

−
f
g

p

∈

L

1

{\displaystyle \left|fg\_{k}-fg\right|^{p}\in L^{1}}

. By the dominated convergence theorem, we have

lim

k
→
∞

∫

f

g

k

−
f
g

p

=
∫

lim

k
→
∞

f

p

g

k

−
g

p

=
0
,

so

‖

f

g

k

−
f
g

‖

p

→
0

{\displaystyle \left\|fg\_{k}-fg\right\|\_{p}\rightarrow 0}

.

Since we also have

‖

f

k

−
f

‖

p

→
0

{\displaystyle \left\|f\_{k}-f\right\|\_{p}\rightarrow 0}

, we can write

lim

k
→
∞

‖

f

k

g

k

−
f
g

‖

p

=

{\displaystyle \lim \_{k\rightarrow \infty }\left\|f\_{k}g\_{k}-fg\right\|\_{p}=0.}
Events

## **Halloween**

At level 6 and below there is a chance for Trick or Treaters to spawn. When they die loot might include a "Candy" picture below), it is said that if you carry Candy in your inventory you will not be attacked. Candy did not prevent me from being attacked but perhaps my Mionions attacked first.

At Level 6 and below you will meet Hunters with Pumpkin Heads. They use ranged silver weapons. Not hard to kill BUT they are ignored by Minions. Apart from the head they look like the unique enemy "Hunter", being a weaker version of that "Hunter" might explain why they are ignored by minions.

At level 6 and below there is a chance for the Pumpkin Head boss to spawn. I have not met him. Drops Unique items.
Bloodlust 2 Weapons

Pipe bombs - Stand where you want to place the bomb and right-click on it in your inventory or activate it from your toolbelt. There is a 3 second delay before it goes off.

Bullets and Stakes (Damage = Gun Min Damage - Gun Max Damage + Player's total Dexterity)\*

Projectiles cannot trigger switches

Rare/legendary weapons/equipment prefixes are Witch, Thief and warrior)

All witchblades should have "10% chance to use 1/8 of your charisma as damage" on them

Modifiers only found on Unique Items are 10% Chance to Summon Flock, 10% Chance to Remove Buff, 10% Chance for Splash Damage, 10% Chance to Poison

The SwitchBlade can backstab

Legendary loot has +1 skills

Knife/dagger weapons do not include +1 Backstab skill.

Knives/swords/claws have 25% chance to bleed enemies for 5 seconds (less knockback)

Axes/maces do more knockback (compared to knives/swords/claws)

Lowered "dagger of the dead" damage to 88

Max crit is now 9% on any one item

33% chance to Damage weapon when smashing Pillars
Larton Motor Speedway

Larton Motor Speedway is a race track in Larton, Kentucky. (This speedway is in Fernanxa's theory) The track is based on Dover International Speedway, but has a road course within the outline. Lightning and his friends built the racetrack, they had fun and learned that teamwork is best for collaboration. When the track was finished, many cars knew about it and started to visit and race there. Lightning and his friends raced there even though they made the track. This track is also known for the crash between Cal and Bobby in 2019. Bobby accidently sent Cal into the inner wall, causing him to smash into the wall an bounce back and hit Bobby's left door and it smashed him and made him scrape on the outer wall. The two racers recovered 3 days afterwards.
Ex4-4

Question: Let

f

{\displaystyle f}

 be defined and measurable in

R

n

{\displaystyle \R^n}

. If

T

{\displaystyle T}

 is a nonsingular linear transformation of

R

n

{\displaystyle \R^n}

, show that

f
(
T

x

)

{\displaystyle f(T\mathbb{x})
}

 is measurable.

Solution:

Let

E
1

=
{
x
,
f
(
x
)
>
a
}

{\displaystyle E\_1 = \{ x, f(x)>a \}}

 and

E
2

=
{
x
,
f
(
T
x
)
>
a
}

{\displaystyle E\_2 = \{ x, f(Tx)>a \}}

.

So,

T

−
1

E
1

=
{

T

−
1

x
,
f
(
x
)
>
a
# }
{

T

−
1

x
,
f
(
T

T

−
1

x
)
>
a
# }
{
y
,
f
(
T
y
)
>
a
# }

E
2

{\displaystyle T^{-1}E\_1 = \{ T^{-1}x, f(x)>a \} = \{ T^{-1}x, f(TT^{-1}x)>a \} = \{ y, f(Ty)>a \} = E\_2
}

 by let

# y

T

−
1

x

{\displaystyle y = T^{-1}x}

.

Claim that linear transformation is a Lipschitz transformation. The proof of this statement can be found here.

By theorem, 3.33,

E
2

{\displaystyle E\_2}

 is measurable.

Hence,

f
(
T

x

)

{\displaystyle f(T\mathbb{x})
}

 is measurable.[1]
5-17

Question17 : If

f
≥
0

{\displaystyle f\ge0}

 and

ω
(
α
)
≤
c
(
1
α

)

−
p

{\displaystyle \omega (\alpha )\leq c(1+\alpha )^{-p}}

 for all

α
>
0

{\displaystyle \alpha>0}

, show that

f
∈

L

r

,
0
<
r
<
p

{\displaystyle f\in L^{r},0<r<p}

Proof : From question 16 (please refer to previous page), we obtained

∫

0

∞

α

r
−
1

ω
(
α
)
d
α
≤
c

∫

0

∞

α

r
−
1

(
1
α

)

p

d
α
<
∞

{\displaystyle \int \_{0}^{\infty }\alpha ^{r-1}\omega (\alpha )d\alpha \leq c\int \_{0}^{\infty }{\frac {\alpha ^{r-1}}{(1+\alpha )^{p}}}d\alpha <+\infty }

, where

r
∈
(
0
,
p
)

{\displaystyle r\in (0,p)}

.

The integral is improper only when it goes to infinity, then convergence follows as below

α

r
−
1

(
1
α

)

p

<

α

r
−
1

α

p

=

1

α

p
−
r
1

{\displaystyle {\frac {\alpha ^{r-1}}{(1+\alpha )^{p}}}<{\frac {\alpha ^{r-1}}{\alpha ^{p}}}={\frac {1}{\alpha ^{p-r+1}}}}

In the fact that

r
<
p

{\displaystyle r<p}

, we have

p
−
r
1
≥
1

{\displaystyle p-r+1\geq 1}

, so the integral converges
Cars 4: The Final Ride

Disney/Pixar's Cars 4 (fanmade) is the 4th and last installment of the franchise. It will be released on June 24th, 2022 (11 years after Cars 2). It will be directed by Brian Fee and produced by John Lasseter and Kevin Reher. All credit goes to Disney and Pixar Studios.

Plot:

Cruz Ramirez (Cristela Alonzo), now a great champion of the Piston Cup, Cruz decides to enter the World Grand Prix for the first time. With the help of Lightning (Owen Wilson), Smokey (Chris Cooper), and rest of the gang, Cruz will begin a new journey in her racing career.

Rated: G
Baldurs Gate

## **Hints, Tips and Websites**

### Tips

**Gems and Jewellery**. Most are worth less than 100 Gold so save inventory space by only keeping the most valuable (more than 100 gold).

* Diamond 500
* Black Opal 150
* Emerald 750
* Moonbar Gem 187
* Pearl 100
* Rogue Stone 2500
* Sphene Gem 112
* Water Opal 175

* Bloodstone Amulet 150
* Fire Opal Ring 250
* Laeral's Tear Necklace 3000
* Pearl Necklace 500
* Ruby Ring 875

**Keep all Potions and Scrolls**. Mid to late game you will use them a lot, depending upon your playstyle.

**Keep an eye open for "Gem bag", "Potion Case", "Scroll Case" and "Ammo Belt" at the Vendors.** Use them to increase your inventory size.

**If you are finding the game too hard** go to the "Record" screen and "Export" your character. Start a new game and import your old character to start at a higher level.

**BEFORE you finish the game** make a special save. Give your most valuable items to your own character (not gem bags etc) Go to the "Record Page" and export your character. Next time you play you can import that character at "Character Creation", starting with lots of gear and a higher level.

**Where to Level up.** From the Friendly Arm Inn go north. That area has a lot of Ankheg which are worth 975 XP each. They are hard to kill so don't head up there too early in the game. After clearing the area leave and sleep for 24 hours, when you go back they will have respawned. Don't miss the big hole near bottom left of the map.

### Mods

I only use 1 mod which is by the Gibberlings 3 called The Tweaks Anthology. It can do a lot so read the web page carefully.

### Handy links

Gibberlings 3 - Includes mods and fixes

Mike's RPG Center - Walkthrough, tips, maps and loads of other stuff.
2013 Wings Around The Globe Rally

The 2013 WATG Rally was the season seen during the events of Planes.

## Race Winners

1. Iceland - Ripslinger
2. Germany - Ripslinger
3. India - Ripslinger
4. Nepal - Dusty Crophopper
5. China - Dusty Crophopper
6. Mexico - Ripslinger
7. New York - Dusty Crophopper

## List of racers (Bold indicates it was a rookie)

1. Ned #0
2. Zed #00
3. Vichi #1
4. Arturo #3
5. Antonio #3
6. **El Chupacabra #5**
7. Ishani #6
8. **Dusty Crophopper #7**
9. **Skipper Riley #7** (unofficial; helped Dusty win)
10. Sun Wing #8
11. Joey Dundee #9
12. Bulldog #11
13. Gunnar Viking #12
14. Ripslinger #13
15. Little King #14
16. Jan Kowalski #15
17. Miguel #16
18. Yellow Bird #17
19. Kolya Ivanov #19
20. Rochelle #22
21. Tsubasa #23
22. Van Der Bird #55
Bloodlust 2 Crafting

Crafting takes place at an Alchemy table. They can be found in the Chinatown Shop, in the player Hideout and randomly through Dungeons and Secret Passages.

Bomb Timer + Pipe Pieces + Gunpowder = Pipe Bomb

Combine 3 different eyes (Ghoul Eye + Raven Eye + Rat Eye = ?)

Gun Powder + Shell Casing = Silver Bullets

Gun Powder + Pipe Pieces + Bomb Timer = Pipe Bomb

Poison Extract + Venom Sack + Orb Ember = Black Orb

Empty Bottle/Empty Beer Bottle + Cockroach = Health Elixir

Empty Bottle/Empty Beer Bottle + Maggot = Spiritforce

Empty Bottle/Empty Beer bottle + Poison Extract + Snake Scale = Vial De Spirit, Spiritforce Cannot Drain (for a short period of time)

Zombie Heart + Snake Scale + Venom Sack = Talent Stone

Items can be repaired by placing them in the Alchemy Table at no cost.
Should you play with Hellfire?

Firstly, was Diablo Hellfire an official expansion? Yes. Blizzard North, who developed Diablo, were owned by Davidson and Associates. Hellfire was developed by Synergistic Software and published by Sierra Online with the permission of Davidson and Associates, released about one year after the release of Diablo. Arguing that Hellfire was not official is the same as stating that Fallout New Vegas was not an official Fallout Game. In fact Hellfire was sold in a bundle which included the Diablo game. In 2019 Diablo + Hellfire were rereleased together by Blizzard on Good Old Games (GOG)

Gameplay is the same with the addition of a few items, new dungeons and the Monk Class. Singleplayer Diablo has 1 difficulty, Hellfire has 3. There is no multiplayer with Hellfire. The dungeons and quests are completely seperate and optional.

Hellfire is more difficult. In Normal difficulty Diablo is buffed but you won't really notice it. In Nightmare difficulty monsters have an additional 50 hitpoints. In Hell difficulty monsters have an additional 100 hitpoints. There are other changes which exist in both games so I won't mention them here.

Play with Hellfire unless you want Multiplayer. Characters created without Hellfire cannot later be used in Hellfire.
The Poop Fridge

One day when I was 3 years old

My family went to my grandparent's house

I pooped in my diaper which is casual for a 3 year old

I waited for someone to change my diaper but nobody came

So I decided to clean my diaper myself

I grabbed my poo and THREW THE POO on the FRIDGE

I really wasn't that satisfied when my poop wasn't completely off my hand

So I SMEARED IT onto a PIECE OF BREAD and decided...

To give it to my Grandmother -\_-

I went other to her with the Poo Bread and said

"Heres your lunch Nana"

XD

In the end they changed my diaper and had to get a new Fridge XD
Why "Slow and Steady wins the Race" isnt a thing

Slow and Steady wins the Race is one of the most STUPIDEST Morales to a story ever

The real Morale to the story Tortoise and the Hare (if there even is one) is don't be cocky during a race

Slow and Steady DOESN'T WIN THE RACE XD

if the Tortoise went slow and steady as it did in the Folk Tale BUT the Hare didn't take a nap during the race THE HARE WOULD'VE WON

If someone is faster than you the whole race and doesn't be as Cocky as the Hare that someone WILL WIN THE RACE

I hope I have explained why Slow and Steady wins the Race is stupid
Faction relations editing

*Version 4.1*

Diary of changes in my edited playthrough

How to change relations between factions.

**Keep a backup of your save game in case you mess up.**

Be aware that changes in relations might impact Missions and the economy.

This can be done by editing the savegame file. By default that file is in the Documents\Egosoft\X4\74090166\save folder. The savegame file must be decompressed, you can do that using an option in the game's options. Note that the file size can be up to about 800MB, editing a file that big is not possible in any software that I have found so this is best done in early game when the file is smaller. Notepad++ or Notepad are good for editing this type of file.

Near the start of the file is something that looks like this, one section for each faction. Obviously this is the Argon section and just one example.

<faction id="argon">

<relations>

<relation faction="alliance" relation="0.1"/>

<relation faction="antigone" relation="0.67"/>

<relation faction="buccaneers" relation="0.011"/>

<relation faction="criminal" relation="-0.5"/>

<relation faction="holyorder" relation="-0.1"/>

<relation faction="holyorderfanatic" relation="-1"/>

<relation faction="khaak" relation="-1"/>

<relation faction="scaleplate" relation="-0.32"/>

<relation faction="smuggler" relation="-0.06"/>

<relation faction="teladi" relation="0.1"/>

<relation faction="xenon" relation="-1"/>

<relation faction="court" relation="-0.011"/>

<relation faction="fallensplit" relation="-0.32"/>

<relation faction="freesplit" relation="-0.011"/>

<relation faction="split" relation="-0.1"/>

<relation faction="terran" relation="-0.011"/>

<relation faction="yaki" relation="-0.32"/>

</relations>

The number at the end of each line shows the relationship or "reputation" of each race to another. "-1" is the equivalent to you having a Reputation of -30. Changing "<relation faction="holyorder" relation="**-0.1**"/>" to <relation faction="holyorder" relation="**-1**"/>" will cause the Argons to attack every ship and station belonging to the Holy Order of the Pontifex (HOP) in any Sector, you will need to edit the "holyorder" relation toward the Argon to -1 if you want the HOP to attack the Argons. Factions will still try to fly through and build in space owned by enemy Factions but will be attacked.

Impacts upon the game could be that Terran fleets are unable to reach Xenon space if you change "<relation faction="terran" relation="**-0.011**"/>" to "<relation faction="terran" relation="**-1**"/>", those Xenon Sectors which would otherwise be invaded by the Terrans will be able to build a stronger fleet and Hatikvah's Choice 1 will be more vulnerable. The Argons and Antigone will have to spend more resources to defend against the Terrans so perhaps they will not be strong enough to resist the Xenon. The HOP might not be able to build such a strong fleet to defend against the Xenon and others so perhaps they will disappear from the game.

Have fun.
Bloodlus 2 Unique Items

Unique items have very hi-stats without high requirements to use (found mostly in safes)

**Raven Shield**

* 30 Armour
* +20 Charisma
* +10 Fire Resistance
* +10 Silver Resistance
* +10 Light Resistance
* 10% chance to summon flock

**Axe of Doom**

* 75-80 Damage
* -10 Dexterity
* 10% chance to remove buffs
* 50% More knockback against enemies

**Mace of Darkness**

* 12-69 Damage
* -8 Dexterity
* 10% chance for Splash damage
* 50% More knockback against enemies

**Thieve's Guild Gloves**

**Dagger Of The Dead**

* 0-88 Damage
* -5 Intelligence
* 0.1% Life Regenerated per second
* 10% Chance for Splash Damage

**Pipe of Persuasion**

* -10 Intelligence
* +20 Persuasion
* 10% Chance to Remove Buffs

**Switch Blade of Blood**

* 10 - 40 Damage
* -5 Vitality
* 10% chance to summon flock
Presentation Band Player

Back in 5th Grade I remember we were doing some sort of Class Presentation thing and all of our families came

It was one of my classmate's turn

MY Sister decides that she will play the beat while my classmate does her presentation

she HAMMERS on this pillow she found in the classroom like she was playing the drums while my classmate was giving the presentation

Me and my Friends found this HYSTERICAL

Because at the time my sis was only like 5 we couldn't really tell her to shut the hell up

So we kept laughing and at one point it we were SO HYSTERICAL the person showing the presentation gave us a look

and it wasn't pleasant

After the presentation I had to apologize to the person giving her presentation and I FREAKING LAUGHED while APOLOGIZING

The whole thing was hilarious as hell itself
Bloodlust 2: Nemesis

3 series of Bloodlust 2 Streams are available here Series 1, Series 2 and Series 3

Most of the information in this Wiki is taken from Patch Notes and the Steam Discussion Forum, the rest is based upon my own experiences.

About the game.

Character Attributes

Skills

Classes

Death

Difficulty

User Interface

Crafting

Items

Weapons

Armour

Unique items

Item Durability

Combat

Enemies

Minions

Quests

Locations

Factions

Events
STALKER Anomaly

The Mod is here. You do not need to own the base game.

Playing the SIN Faction

The SIN Faction has one base, a tunnel at the top left of the Red Forest. The only friendly factions are Monolith and Zombified. If you want to stay in "friendly" areas you will only have Red Forest, Pripyat, Pripyat Outskirts, Hospital, part of Limansk and everything North of Pripyat. Quest givers are limited to 2 at the base and 3 (Monolith) in Pripyat, there are very few so expect a LOT of repetition. The main quest is short and very easy, similar to Monolith but shorter. SIN gear is OK but other Factions have better, including Monolith. Overall boring, repetitive and easy.

You can see my SIN playthrough here https://youtube.com/playlist?list=PLaJ0AmLizZY5dkLQcHRBOhvoRwYBgVPep
Bloodlust 2 About

Bloodlust 2: Nemesis is a "Hack 'n Slash - Dungeon Crawling - Action RPG" experience that will allow players to explore the dark underworld of a forgotten society of Vampires and their disciplines, all while trying to solve the secrets to their bloodline's scientifically enhanced monstrous power

* Play as a Male or Female Vampire with Classes Including Witch, Thief or Warrior
* Sire Others with your "Embrace" to Build your Family of Minions
* Learn and Increase Vampire Disciplines, Skills, Talents and Attributes
* Dynamic Loot and Procedurally Created Areas Create Infinite Replay-ability
* Non-Linear World Allows Players to Follow Their Own Path and Quest Goals

The game is available from Steam here.

3 series of Bloodlust 2 Streams are available here

Series 1

Series 2

Series 3

Game website is here.

Developed and published by WRF Studios. It is the second of 3 Bloodlust games, the other 2 are Bloodlust Shadowhunter (website) and Vampirem (website).

Most of the information in this Wiki is taken from Patch Notes and the Steam Discussion Forum, the rest is based upon my own experiences.
Bloodlust 2 Death

When killed by the Wraith you will be transported to the Wraith's Lair, There is a ladder straight ahead of you which takes you back to the Tomb (where you started the game) or go down some stairs to the left to look for dead minions.

If one of your minions dies you can find him or her here and resue her / him.

Player drops 10% of cash when killed (player can go back to retrieve it - but may be stolen)

Player's dropped cash bag (when killed) now glows green

1/16 XP taken when killed on floor 1 (or outside dungeons)
Bloodlust 2 Combat

Knockback

* Large knockback impact when hitting enemies
* Small knockback when player gets hit
* Level 20+ enemies have a chance to do harder knockback and will only get knocked back 1/3 of the time
* Knives/swords/claws have 25% chance to bleed enemies for 5 seconds (less knockback)
* Axes/maces do more knockback than knives/swords/claws

Damage types

* Shock can lower ability for enemies to regen
* Fire Damage = Fire Damage - (Fire Damage x (Fire Res x .01))
Staff Requirements

If you want to become a Staff member on this wiki we want a

1. Active Member
2. Social Member
3. Nice and Kind Member
4. No Member that has taken place in a Raid unless justified
5. Has Never Bullied or been Cruel to anyone in their life
6. Has always been a nice and kind person in general

Now here are the Requirements for each role:

Discussion Moderator

At least 25 Posts (This may increase depending on the size of the wiki)

At least a 60% Approval rating for Discussion Moderator (This may increase depending on the size of the wiki)

Content Moderator

At least 15 Pages Fictional or Non-Fictional (This may increase depending on the size of the wiki)

At least a 55% Approval rating for Content Moderator (This may increase depending on the size of the wiki)

Sysop/Administrator

At least 35 Pages Fictional or Non-Fictional (This may increase depending on the size of the wiki)

At least 50 Posts (This may increase depending on the size of the wiki)

At least a 75% Approval rating for Sysop/Administrator (This may increase depending on the size of the wiki)

Bureaucrat

At least 50 Pages Fictional or Non-Fictional (This may increase depending on the size of the wiki)

At least 75 Posts (This may increase depending on the size of the wiki)

At least a 95% Approval rating for Bureaucrat (This will stay the same no matter the size of the wiki unless needed to be changed)
I am Spiderman

One day Mum and Sister are walking down a Public Hallway

and My sister sees a Staff Member

AND OUT OF NOWHERE

I CANNOT EXPLAIN WHAT GOES THROUGH HER HEAD WHEN SHE SAYS THIS

BUT I QUOTE SHE SAYS THIS:

"I am Spiderman AND I WILL KILL YOU!"

LMAO

Mum says no {Insert Sister name here} Thats not what Spiderman Does

and my Sis says I WILL KILL YOU!

XDDDDD
Llama Man

One day back when I was in 5th Grade and my little Sister was 6

I was at school when my Sister had a PERFECT idea in driving HERSELF to MY SCHOOL in HER TOY CAR

Somehow she Managed to get past Traffic and go to my School

But she SOMEHOW got through the FRONT DOORS

Then she saw the School Bully and the FIRST THING she says is THIS QUESTION

AND I EXACTLY QUOTE THIS

"Are you a Llama?" (Just in case you don't get it its because he had TERRIBLE hair)

And lets just say the Bully didn't like what she said and gave her a free pass to the ER

The Principal didn't do anything besides give the bully a note saying hey Llama Man

The End
Why Inland Taipans are more dangerous than Coastal Taipans

For those who dont know Inland Taipans and Coastal Taipans are snakes (Both from Australia)

The Inland Taipan has venom that can kill up to 100 Full Grown Men in one bite

The Coastal Taipan is no match for the Inland Taipan when it comes to Venom

But the only reasons why people say the Coastal Taipan is more dangerous is because of these reasons:

1. The Coastal Taipan is in more Urban areas
2. The Coastal Taipan is more Aggressive than Inland Taipans

First we need to imagine that the Inland Taipan is in more Urban areas

its a snake that can kill 100 GROWN MEN with ONLY ONE DROP OF VENOM

People will be EVACUATING the areas the Inland Taipan is in LEFT, RIGHT, and CENTER

Coastal Taipans can DEFINITELY kill you as well

Coastals have venom but not near as much as what the Inland has

a Coastal Taipan can kill 1 Grown Man in 30-45 Minutes just like the Inland Taipan though

But keep in mind the Inland Taipan is the most Venomous snake in the WORLD

The Coastal Taipan is Third on the Worldwide list though

The only other snake more venomous than the Coastal Taipan is the Eastern Brown Snake (Also in Australia)

Its not like the Coastal Taipan is a lot more aggressive than the Inland

If either snake is aggravated it WILL attack and kill you

But the big difference is the fact if an Inland Taipan bites you NO MATTER WHAT you will die especially with the fact one drop can kill 100 men

With the Coastal Taipan despite it being the 3rd most venomous snake in the world the bite can still be treated

And that is why the Inland Taipan is more dangerous than the Coastal Taipan
Trampoline Man

One day my whole Family went to Chick-Fil-A

We sit down and get ready to eat

When my little Sister (who is 6 at the time) Sees this MASSIVE OBESE MAN

LIKE I MEAN HE WAS BIGGER THAN A TABLE

BIGGEST HUMAN I HAVE EVER SEEN

But my sis doesn't see that this Obese af guy is a human

She runs over to him and starts JUMPING ON HIM

SHE IS JUMPING ON A HUMAN

She JUMPS on HIM FOR 20 SECONDS

Then dad FINALLY gets the courage to grab her by THE ARM and leave Chick-Fil-A

My Mom and I just STARE at each other in SHOCK

We find out he had to get sent to the ER (Emergency Room) and WE had to pay for the Hospital Bills (nice one sis)

And we asked my sis later what she was thinking while she was jumping on the massive obese man

She said she thought he was a COMFY TRAMPOLINE OMFG XD
Probably one of the most embarrassing moments of my life

Back when I was in 3rd Grade I was in a group project with probably one of the most cutest girls in the whole grade

You can probably tell this wont go well

She starts singing in a tiny voice and I am completely lost

And some of the lyrics she sings is like some of those question lyrics you know?

and for some stupid fing reason while I am completely lost

I decide to answer to her fricking song XDDD

Only the girl and my teacher hear what I said

and for the rest of the Third Grade (about half of the year)

I am paired up with either her or one of her friends only rarely am I paired with one of my REAL friends XD

Rip my Third Grade self
ChildhoodStories Wiki

**Welcome to the Stories Wiki!**
Make a page for each of your MANY funny stories.

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