2021.12.08 03:03 *twili-midna* **I started Whorleater Hard 20 minutes before the emergency maintenance.**

We cleared it 20 seconds before 1:00am. Honestly was way more fun than I expected.

submitted by twili-midna to ffxiv [link] [comments]

2021.12.08 03:03 *Alunze* **[Spoilers EX] Need help locating that one song that plays during...**

the cutscene AFTER the Hydaelyn trial. I've been trying to look for it, but the ones I keep finding online are the battle tracks and not the melancholic female-voiced track that plays during that wonderful cutscene. Hope you folks can help!

submitted by Alunze to ffxiv [link] [comments]

2021.12.08 03:03 *SnowyLightBrightOwO* **(Incident 096-1-A) Dr Dan & Dr Oleksei are in charge of 096 containment so is they responsible for the incident. By order of O5 Council they will preform experiments to terminate 096 until they success in killing it then both doctors are AFTERWARDS to be executed.**

submitted by SnowyLightBrightOwO to DankMemesFromSite19 [link] [comments] |

2021.12.08 03:03 *IcyLemonss* **i voided my edrag :(**

i was talking to a friend and we were joking ab it and then i just did it, i wasn’t thinking. anyways that edrag was like half my net worth and i’m just in shock rn. i feel like this would be a good time to quit the game to pursue better things but i just keep getting sucked in. i want to quit this game so badly but it’s so hard

submitted by IcyLemonss to HypixelSkyblock [link] [comments]

2021.12.08 03:03 *FlyingLowSH* **Auch Lufthansa betroffen: 13 Airbus A350 müssen zum Flügel-Check**

submitted by FlyingLowSH to LuftRaum [link] [comments] |

2021.12.08 03:03 *Splatoku* **Character name deciding [POLL]**

I love all the following name below

View Poll

submitted by Splatoku to ac_newhorizons [link] [comments]

2021.12.08 03:03 *cynical_sins* **Hyundai sonata hybrid 2012 randomly wont switch back over to the engine sometimes.**

I almost always have this issue when I first start driving and get on the interstate. it'll just all of a sudden start losing power, and I'll notice it'll only run off of the electric battery and won't switch over to the engine at all. I'll pull over to a dead stop and try it and all it does is get to maybe 20mph then go high on the rpms and kinda stop. The only way I've noticed to fix it is to just restart the car and it'll drive just fine. I've noticed the low oil pressure light will flash a few times afterwards.

Things worth mentioning: when I bought the car I had to take it back and they apparently replaced the transmission with a new one.

If anyone could help give me any ideas with what it might be would be greatly appreciated.

submitted by cynical_sins to MechanicAdvice [link] [comments]

2021.12.08 03:03 *Hexcede* **Some simple (and cool) calculus shortcuts I found through Taylor series (derivation and integration on polnomials)**

Hello, I am a bit of a math amateur to be completely honest, but, several months ago I became really fascinated with Taylor series after (sort of) coming across them accidentally. Over time I have been finding out cooler and cooler behaviours and uses when it comes to them.

Well, I realized that Taylor series can actually be used to do calculus in a very simple way. I've honestly come to look at derivatives and integrals as more of an operation than anything else, and, I've gone from having no understanding about calculus to feeling comfortable with it in every way in hardly any time at all, and, I've been having all kinds of fun with this. Particularly, you can do derivatives, indefinite integrals, and plenty more, and, what's especially nice for me, being a programmer, is that I can do all of this in code too! Just, with a few manageable constraints.

To keep it simple, I will *try* not to go into a whole lot of detail on how I came up with everything here but I'll definitely make a comment if someone would like to ask more about anything, otherwise, I think I'd be writing all day, and, it wouldn't make for a readable (or useful) post, but, I've been sharing discoveries and realizations I've made along the way in a friend's Discord server.

There's a lot of things which I am skipping over, and a lot of confusion, time, and numerous things I got wrong before I eventually settled on everything here, and I can't emphasize that enough.

First, to start off with, I'm going to write out all Taylor series with no simplification at all. Additionally, I'm going to avoid writing the derivatives of functions and simply use lettered variables, as it personally makes more sense to me, but, a better way to think about it is the `n`

th term:

Different interpretations of Taylor series

Each term in the Taylor series can also be written like this, which is nice:

https://preview.redd.it/tog6wy4wd9481.png?width=65&format=png&auto=webp&s=903fa4ba87e9d8449d50ab59ae155465a2017d9b

**Derivatives** Initially, the first thing I realized, and the thing which started me off investigating calculus was that, in physics equations, the way things like velocity, acceleration, etc were defined (in other words the derivatives of position) followed a nice pattern.

I will include "jerk" as `j`

, which is the rate of change of acceleration, because this helps to make everything more clear. I will also write every variable with a suffix of zero, even though typically you only see it on the position, because really, the way I like to think about it is that each term is actually just the initial rate of change. (E.g. acceleration in the equation isn't just acceleration, its the initial acceleration, and, and, it may not be changing, but it is still the initial value)

If you write out the equations for position, velocity, acceleration, etc as Taylor series you'll likely notice the pattern:

Physics equations (and derivatives) written out with Taylor series equivalents

The first pattern you can see is that each derivative (e.g. velocity is the derivative of position) almost looks like the function itself with the first (constant) term removed. In fact, the moment I realized that I also realized that the constant in the exponent of `x`

and the numerator of each term is the only thing changing.

And, this makes a decent bit of sense. Of course the initial position has nothing to do with the velocity, so that term is irrelevant. And, the reduction of the constant in the exponent (and numerator) also makes some sense, because the second derivative of a function (e.g. acceleration is the second derivative of position) is just the first derivative of its derivative (acceleration is the first derivative of velocity).

This is a surprisingly simple pattern, just remove the constant, and subtract one from the constants, and now you have the derivative. Pretty cool.

So, what this actually provides to us is a very logical, and visual way to interpret what derivatives actually even are, we can generalize it, and utilize it for all kinds of things, and, to me, this is probably one of the largest pieces of intuition I feel like I have ever learned in math.

**Integrals** That's not all though. When I initially realized what I did above, I didn't even consider any other implications this could have elsewhere, and nearly a month later, having gotten bored with derivatives, I decided it would be fun to start trying to learn what integrals even are.

One thing I noted was that the addition of `c`

seemed weird. Intuitively, I didn't at all understand why you could have a variable in an indefinite integral, or why it didn't matter what that variable was *unless* it had `x`

in it. Definite integrals were also very confusing to me, and it took me a while of trying to understand what integrals even were. But, after having thought about the fact that integrals (or "antiderivatives") are the inverse of derivatives for a while, I made a connection back to the above content which got me very excited.

If you can find a derivative from a Taylor series in a few steps, by removing the first term and reducing the constants, you can, of course, do the opposite, applying the steps in reverse exactly like how you might solve for the inverse of a function.

Side by side comparison of the function (top) and its derivative (bottom)

**Conclusion** Taylor series are pretty fundamental to math as a whole, and, have absolutely been one of the coolest math journeys I have taken. Calculus has never ever clicked with me, and school only ever really managed to give me a basic understanding of it. But, in a few months of frustration, trial and error, and some super satisfying connections, I genuinely feel like I understand it well now.

If it weren't for my existing experience in programming, and wanting to apply things I find to my projects, I don't think I would have fully explored any of this, and, I'm very happy to share it.

This sort of thing, something which looks completely unrelated to something else, but you dig in a little and start finding pattern after pattern which take you somewhere else entirely, is absolutely the biggest reason why I love math.

I hope that this helps to give others better intuition of calculus, and, I hope that I have done a good job keeping things at least concise enough, without leaving out too much detail.

**Food for thought & further implications**

- Taylor series for things that aren't polynomials, e.g.
`e^x`

,`sin(x)`

,`cos(x)`

. I've played with this a lot- One especially useful tool for this has been Desmos for one reason: You can write the derivative of a function
`f(x)`

as`f'(x)`

, allowing you to find the initial terms of derivatives for Taylor series just like this:`f(0)`

`f'(0)`

,`f''(0)`

, etc.

- One especially useful tool for this has been Desmos for one reason: You can write the derivative of a function
- Calculus in programming
- As I mentioned before, there are some manageable constraints around this. You, of course, need to represent a function as its list of terms for the Taylor series, and it can't be of an infinite degree. The easiest way I've come up with for this is to represent a function as simply an array of constants (the initial values of each derivative), and then you can evaluate it as a sum of terms in the Taylor series (the index being the
`n`

in the expression I wrote above). Derivation is then just equivalent to removing some values at the start of the function, and integration is just equivalent to adding new ones.

- As I mentioned before, there are some manageable constraints around this. You, of course, need to represent a function as its list of terms for the Taylor series, and it can't be of an infinite degree. The easiest way I've come up with for this is to represent a function as simply an array of constants (the initial values of each derivative), and then you can evaluate it as a sum of terms in the Taylor series (the index being the
- Euler's identity & Euler's formula
- Add two functions together and see how the terms change
- Multiply a function by a constant and see how the terms change

`f(x)`

to a Taylor series algorithmically, step by step. It's a lot harder than it sounds in my experience, but this would not just allow for easy programatic calculus, but, it would generalize to significantly more areas of mathAnother reason why I wanted to put this out there is because I have never seen this before, and, it seems like these are such simple rules in practice that I am incredibly surprised that I haven't seen it before.

It makes me suspect that I have come across something unknown, or at least not well known enough that any educational content, on YouTube, or in schools, or any other web resources I have found document anything like this.

The simplicity of this, and the way that it generalizes to programming, involving no algebra, rules of calculus, etc at all is intriguing to me (its in a way both dangerous and powerful for beginners in that regard), and, I hope that it could potentially could lead to more generalized (and practical) applications of calculus.

This really has made me think of derivatives and integrals more so as basic mathematical operations than some sort of method of seemingly disconnected and complex rules and steps that make no sense in my head.

submitted by Hexcede to CasualMath [link] [comments]

2021.12.08 03:03 *Lemonic_Tutor* **Iron Warriors Chaos Lord (Mark of Khorne)**

submitted by Lemonic_Tutor to Warhammer40k [link] [comments] |

2021.12.08 03:03 *draculastherapist* **Anyone selling tickets for the Pappy & Harriet’s show on Feb 3rd?**

Looking for 2 tickets!! DM me :)

submitted by draculastherapist to dinosaurjr [link] [comments]

2021.12.08 03:03 *b6hx* **YAE IN 2.5 OR 2.6**

Ayato in itto teaser , does this mean ayato is coming in 2.5 before YAE !!?

- Although I think he will be four stars in yae banner .

2021.12.08 03:03 *SnooChickens3041* **Not much of a bootcamp question but…**

My dream is to work for apple one day, now i don’t know if it’s a stretch or anything but ideally how long do you guys think that would take I’m 23 and I don’t know if they’ll only hire within a age limit or such to keep up with the latest things if I’m making sense just looking for a true thought to it or answer? Thanks in advance

submitted by SnooChickens3041 to codingbootcamp [link] [comments]

2021.12.08 03:03 *Parttimelooker* **explain why there is so much UGLY ass art at the top of Etsy categories....**

I just dont get it. Isnt it supposed to be suggesting things you might want to buy? When I browse the "art section" there is just PILES of godawful ugly stuff....and not necessarily "popular" but ugly stuff. What is this about? Surely there is also tons of attractive art on etsy...why doesn't it rise up higher?

submitted by Parttimelooker to EtsySellers [link] [comments]

2021.12.08 03:03 *VanCityHunter* **Catch of the day.**

submitted by VanCityHunter to sketches [link] [comments] |

2021.12.08 03:03 *Amdar210* **A question about mod compatibility and component usage. Sins Halo mod and ACOT**

So, I've been playing with ACOT for as long as I've had Stellaris. It is something I just don't give up.

Recently I did an RP play through with a friend where the Sins of Prophets was the main focus, and I simply fell in love with the models.

So I got to thinking, and wondered if anyone knows.

Could I use ACOT tech with Sins ships?

Cause I really want to see where that rabbit hole goes!

submitted by Amdar210 to Stellaris [link] [comments]

2021.12.08 03:03 *reedsyue* **Never Take Risks**

submitted by reedsyue to Tinder [link] [comments] |

2021.12.08 03:03 *r34luver_MK7* **Found this bug in Freeroam on the volcano. Trying to get the Car Drop broke the game and I cant even open the pause menu**

submitted by r34luver_MK7 to ForzaHorizon [link] [comments] |

2021.12.08 03:03 *Novel-Habit8220* **[USA-FL] [H] Paypal / Cash [W] evga ftw3 Ultra RTX 3070**

This is a repost because my submission was removed. Please do not pm

submitted by Novel-Habit8220 to hardwareswap [link] [comments]

2021.12.08 03:03 *trashpanda2294* **Built these in March of 2021, I may have been a little over enthusiastic making these because was having a lot of fun building something by myself! Took almost 15 tons of dirt to fill them all up.**

submitted by trashpanda2294 to BeginnerWoodWorking [link] [comments] |

2021.12.08 03:03 *bright_shiny_objects* **Why are you scared?**

submitted by bright_shiny_objects to AskReddit [link] [comments]

2021.12.08 03:03 *BPR4908* **Recommendation needed**

Hey guys! I’m completely new to buying Kobe reps so any help would be greatly appreciated.

I’m looking to buy a pair of Kobe 5 protros in the purple lakers colourway. I’m gonna be using this shoe for hooping so I want it to be able to perform pretty well and be decently durable even though I’ll only be using it indoors. Does anyone have any recommendations on where to buy it from? Again, I’m completely new to this but if anyone has ever bought any before or has any recommendations where to buy from any help would be greatly appreciated! Thanks!

submitted by BPR4908 to KobeReps [link] [comments]

2021.12.08 03:03 *prtj1617* **China's Commercial Real Estate Crash And Housing Bubble Burst On The Hor...**

submitted by prtj1617 to QUADRILLIONFOLLOWERZ [link] [comments] |

2021.12.08 03:03 *brendonneville* **[7X7] My first mosaic. Got my first platinum back in 2017. I’m pretty proud of some of these. Next up The Last Of Us for #50.**

submitted by brendonneville to Trophies [link] [comments] |

2021.12.08 03:03 *bravohearingcentre* **Hearing Aid Accessories & Hearing Devices**

submitted by bravohearingcentre to HearingLoss [link] [comments] |

2021.12.08 03:03 *Playgirlcarti_* **PS4 Shadows easter egg**

looking for some people to do the shadows easter egg with! psn: edmprinxess

submitted by Playgirlcarti_ to bo3zombies [link] [comments]