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yall wanna hear something cool and completely unrelated to this blog, okay theres all these different sets of numbers right, and all these sets of numbers are infinite

So the number sets kinda look like this,

you have

a [all the real numbers]

a + bi [the complex numbers which include i the imaginary number which is really just another way of looking at how algebra can function (we can now take the square root of negative numbers), which is a different take on algebra where we simply had the set of real numbers]

and then you get

a + bi + cj + dk [quaternions, which is the next step up from the complex numbers in algebra, and are a new set of numbers that have a new way of looking at algebra, and are also infinite]

So about the complex numbers, thats numbers that include i, the ~imaginary number~ which is a terrible name for it, it’s not imaginary, just a completely different bit of algebra that doesnt work with what was previously thought to be algebraic laws and rules. Because before we had i you couldn’t take the square root of a negative number, because thats just not how the real numbers worked. **It changed how algebra functioned with this new set of numbers. **

You can just change the set of rules for math for it to work, by creating something new, as long as it all logically follows.

Anyway, once you get past the complex numbers **you hit this cool thing called quaternions**, which is another set of numbers, except in this set of numbers, which are also infinite, they don’t follow all of the rules of algebra we were previously taught to believe, **in this set of numbers we don’t have the commutativity property,**

**[commutativity property is where a*b = c, and b*a = c]**

**without this it means if you multiply numbers together together in different orders, you get different answers. Which isn’t how any of the other previous sets of numbers work in algebra.**

*in regular algebra which works with all those numbers up to the complex numbers: 2*3 = 6, and 3*2 = 6In quaternions: j*k = i, but k*j = -i*

So with quaternions

i^2 = -1

j^2 = -1

k^2 = -1

But you know whats wild about this, in this set of numbers:

i*j*k = -1

And the order does matter in this set of numbers.

because in this set of algebra

**i*j = k BUT heres the wild part j*i = -k**

we can see it again:

**j*k = i, BUT k*j = -i**

When you multiply ** j*k you get i,** when you multiply

There’s a part of math where basic definitions of algebra don’t exist for these types of numbers to exist, and the further you keep going into new numbers, the more fundamental rules of algebra you start losing for the number sets to exist.

and this guy just came up with it walking across a bridge

** Pythagoras**—from

(via **Pinterest**)

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Descendants 2

Descendants 2 had a lot of strong points but what this post is going to focus on is the character development in all of the characters.

Mal -

Obviously this movie focused a lot on Mal. She has grown a lot from the first movie but not in a healthy way. She developed some bad habits (spelling things and people) and developed some self image issues. This is a vast difference from our defiant and confident Mal from the first movie. While I don’t like the softer Mal that was shown, even closer to the end of the movie, I like that they explored these identity issues. By the end of the movie Mal has reconnected with her roots, her group and what made her want to change in the first place. I think it leaves us with a strong Mal with more room to grow in the right direction.

Evie -

THIS IS MY GIRL! Gonna be honest, I disliked her in the first movie cause she was a ditz but my girl has come a lonngggg way. Evie grew from a superficial girl into an incredibly smart, talented and confident lady. She has a booming design business and doesn’t take crap from anyone, and right beside her for these changes was her supportive boyfriend Doug. I love the dynamic they have because they are equal to each other, she is the strong one but he will still defend her to princes, he manages her business finances and supports her dreams. BUT she is not a dainty princess and he know he isn’t her “prince” but he is her knight. I will defend this ship with. My. Life. Also, she has a big heart and is fighting for the kids that she grew up with. She is going to be a great advocate for the isle.

Jay -

Jay came a long way from his rule breaking enthusiastic lifestyle. He even obeys the smallest (and more sexist) of rules. We also saw that he became less aggressive than before. It was curious to see him as a responsible captain, and it was very fitting. Through out the rest of the movie we got to see him step up as a leader when Mal was lacking or when something needed to be said. Like when everyone was arguing he calmed them down and when Mal and Evie were chatting about her hair, he took initiative to bring them together. Jay is a born leader and is doing the one thing his father, jafar, could not. Being successful and compassionate in a leadership position. In the end when he forfeits his title as captain to Lonnie(?) so she can join the team that is him doing what is best for the team. She is strong and they needed her. He sacrificed his title for the greater good and I hope that doesn’t go unnoticed.

Carlos -

Our shy boy came a long way as well. Carlos is a more outspoken and confident person. I don’t think he lacked confidence in the first movie but I believe he was more introverted, now we see a more open Carlos who stands his ground. For example, kicking Chad out of his room repeatedly. He is dismissing a prince and gives 0 cares. We also have a slight mention of how he programmed his 3D printer to have really cool hacks and such which references his special abilities with computers. Jay can be physical, Evie can be smart, Mal can be sly and Carlos can hack. This is important. Finally we see our boy finally ask Jane out. Tbh, I didn’t see it. BUT I am not against it. The little dorks make each other happy and they make each other stronger, for Carlos he has someone to protect and for Jane she has someone who makes her feel beautiful which is not to be under-estimated.

Jane -

Jane grew in a few notable ways. She became a more involved and outspoken person than the shy, squeaky girl from the first movie. Now she is coordinating big projects and making sure the schedule is kept to. BUT she is still insecure about herself and you can tell, even the way she thought Carlos wanted to go to the party as friends until he spelled it out for her is a sign of the insecurity. Carlos makes her feel beautiful and while that isn’t the best place to get a confidence boost it is still a wonderful development for a young girls self esteem to have someone like that.

Duke -

well, he/she learned English so that is pretty impressive.

Ben -

Ben was a goodie two-shoes in the first movie. While he developed a wicked streak in the second one, he NEVER abandoned his big heart, which is what truly makes him King Ben. He was trying to tackle the life struggles of ruling a kingdom, dealing with an engagement, helping the project areas and maintaining his grades. We know he had to quit his different sports teams because he didn’t have time, the time he spent with Mal dwindled to near nothing and we know he was overwhelmed. He never complained though. Ben is a strong character who is taking care of business and while he might not be the first to throw a punch he is powerful with words before fists, and he doesn’t let his girlfriend fight all his battles for him. In the end when he still trying to seek peace, preventing what could have been a catastrophic battle, he was doing his duty as a king. He put his life on the line. His biggest development in this movie was seeing the other side of things and understanding just how abused these kids were. It is one thing to hear about it and think you know, but he never really *knew.* And Uma abusing his kindness and spelling him didn’t scare him away from continuing to seek justice for these kids. Ben is a good leader.

Lonnie -

In the first movie we never really got to explore her character. We saw that she wasn’t afraid of our lil’ villains and that she was still compassionate towards them but that was it. In this movie she is introduced as a threat. She is powerful and smart just like her mother, and she may be a love interest for Jay which is a perfect math. Talk about power couple, am I right?! I look forward to seeing more of her.

NEW CHARACTERS -

Uma -

You can see the results of abuse and bullying in her personality. All she is looking for is validation. This is the entire point of “Say my name”, she wants to be acknowledged. Her dwarf rats don’t really obey her, they still challenge her constantly and call her “Shrimpy”. While she has issues, there is room for change. I really hope Disney takes the opportunity to properly show kids/people how to interact with someone who comes from that abusive background.

Harry Hook -

Dang.. Uh, not gonna lie, I am so weak to this little out law. I was practically drooling over him, and when he tickled Ben my heart skipped a beat. I could ship that, I wont cause I will be lynched, but I could. I could see him being a bigger problem in the future. He has more of a cutthroat attitude than Uma and it is clear that him and Jay have bad blood. I hope we see much more of that delectable pirate.
Gil -
I bet you are one that gets to leave the isle. You don’t seem inherently bad, just kinda a dunce. Definitely room for improvement.

I’m really curious Flug…

Also 2nd is Flug from yesterday, being pround of me and my hard work (I HATE MATH OK?)

I was so right 8) okay so infinity isnt a number. straight up not a number. BUT there are numbers that are infinitely large, just as there are numbers that are infinitely small.. THEYRE NUMBERS….. THAT ARE INFINITELY LARGE… SDIUVHUSDHVOSIDHVSDOHIVOHISDVOISD IS THAT NOT THE COOLEST??? ??V??XC?V?XC?VC?XV/X?

these panels are consecutive

1000

2^{1000} = 10 715 086 071 862 673 209 484 250 490 600 018 105 614 048 117 055 336 074 437 503 883 703 510 511 249 361 224 931 983 788 156 958 581 275 946 729 175 531 468 251 871 452 856 923 140 435 984 577 574 698 574 803 934 567 774 824 230 985 421 074 605 062 371 141 877 954 182 153 046 474 983 581 941 267 398 767 559 165 543 946 077 062 914 571 196 477 686 542 167 660 429 831 652 624 386 837 205 668 069 376 — ten novemnonagintillion, seven hundred fifteen octononagintillion, eighty-six septennonagintillion, seventy-one sexnonagintillion, eight hundred sixty-two quinnonagintillion, six hundred seventy-three quattuornonagintillion, two hundred nine trenonagintillion, four hundred eighty-four duononagintillion, two hundred fifty unnonagintillion, four hundred ninety nonagintillion, six hundred novemoctogintillion, eighteen octooctogintillion, one hundred five septenoctogintillion, six hundred fourteen sexoctogintillion, forty-eight quinoctogintillion, one hundred seventeen quattuoroctogintillion, fifty-five treoctogintillion, three hundred thirty-six duooctogintillion, seventy-four unoctogintillion, four hundred thirty-seven octogintillion, five hundred three novemseptuagintillion, eight hundred eighty-three octoseptuagintillion, seven hundred three septenseptuagintillion, five hundred ten sexseptuagintillion, five hundred eleven quinseptuagintillion, two hundred forty-nine quattuorseptuagintillion, three hundred sixty-one treseptuagintillion, two hundred twenty-four duoseptuagintillion, nine hundred thirty-one unseptuagintillion, nine hundred eighty-three septuagintillion, seven hundred eighty-eight novemsexagintillion, one hundred fifty-six octosexagintillion, nine hundred fifty-eight septensexagintillion, five hundred eighty-one sexsexagintillion, two hundred seventy-five quinsexagintillion, nine hundred forty-six quattuorsexagintillion, seven hundred twenty-nine tresexagintillion, one hundred seventy-five duosexagintillion, five hundred thirty-one unsexagintillion, four hundred sixty-eight sexagintillion, two hundred fifty-one novemquinquagintillion, eight hundred seventy-one octoquinquagintillion, four hundred fifty-two septenquinquagintillion, eight hundred fifty-six sexquinquagintillion, nine hundred twenty-three quinquinquagintillion, one hundred forty quattuorquinquagintillion, four hundred thirty-five trequinquagintillion, nine hundred eighty-four duoquinquagintillion, five hundred seventy-seven unquinquagintillion, five hundred seventy-four quinquagintillion, six hundred ninety-eight novemquadragintillion, five hundred seventy-four octoquadragintillion, eight hundred three septenquadragintillion, nine hundred thirty-four sexquadragintillion, five hundred sixty-seven quinquadragintillion, seven hundred seventy-four quattuorquadragintillion, eight hundred twenty-four trequadragintillion, two hundred thirty duoquadragintillion, nine hundred eighty-five unquadragintillion, four hundred twenty-one quadragintillion, seventy-four novemtrigintillion, six hundred five octotrigintillion, sixty-two septentrigintillion, three hundred seventy-one sextrigintillion, one hundred forty-one quintrigintillion, eight hundred seventy-seven quattuortrigintillion, nine hundred fifty-four tretrigintillion, one hundred eighty-two duotrigintillion, one hundred fifty-three untrigintillion, forty-six trigintillion, four hundred seventy-four novemvigintillion, nine hundred eighty-three octovigintillion, five hundred eighty-one septenvigintillion, nine hundred forty-one sexvigintillion, two hundred sixty-seven quinvigintillion, three hundred ninety-eight quattuorvigintillion, seven hundred sixty-seven trevigintillion, five hundred fifty-nine duovigintillion, one hundred sixty-five unvigintillion, five hundred forty-three vigintillion, nine hundred forty-six novemdecillion, seventy-seven octodecillion, sixty-two septendecillion, nine hundred fourteen sexdecillion, five hundred seventy-one quindecillion, one hundred ninety-six quattuordecillion, four hundred seventy-seven tredecillion, six hundred eighty-six duodecillion, five hundred forty-two undecillion, one hundred sixty-seven decillion, six hundred sixty nonillion, four hundred twenty-nine octillion, eight hundred thirty-one septillion, six hundred fifty-two sextillion, six hundred twenty-four quintillion, three hundred eighty-six quadrillion, eight hundred thirty-seven trillion, two hundred five billion, six hundred sixty-eight million, sixty-nine thousand, three hundred seventy-six (302 digits, 4085 characters)

Legendary 😂

**3.14***1592653589793238462643383279502884197169399375105820974944..*

you know how there are infinitesimals. so theres a theory of a number closest to zero. can such a thing exist for infinity itself or does it only work on finite numbers? trying to understand sorry.

999

2^{999} = 5 357 543 035 931 336 604 742 125 245 300 009 052 807 024 058 527 668 037 218 751 941 851 755 255 624 680 612 465 991 894 078 479 290 637 973 364 587 765 734 125 935 726 428 461 570 217 992 288 787 349 287 401 967 283 887 412 115 492 710 537 302 531 185 570 938 977 091 076 523 237 491 790 970 633 699 383 779 582 771 973 038 531 457 285 598 238 843 271 083 830 214 915 826 312 193 418 602 834 034 688 — five novemnonagintillion, three hundred fifty-seven octononagintillion, five hundred forty-three septennonagintillion, thirty-five sexnonagintillion, nine hundred thirty-one quinnonagintillion, three hundred thirty-six quattuornonagintillion, six hundred four trenonagintillion, seven hundred forty-two duononagintillion, one hundred twenty-five unnonagintillion, two hundred forty-five nonagintillion, three hundred novemoctogintillion, nine octooctogintillion, fifty-two septenoctogintillion, eight hundred seven sexoctogintillion, twenty-four quinoctogintillion, fifty-eight quattuoroctogintillion, five hundred twenty-seven treoctogintillion, six hundred sixty-eight duooctogintillion, thirty-seven unoctogintillion, two hundred eighteen octogintillion, seven hundred fifty-one novemseptuagintillion, nine hundred forty-one octoseptuagintillion, eight hundred fifty-one septenseptuagintillion, seven hundred fifty-five sexseptuagintillion, two hundred fifty-five quinseptuagintillion, six hundred twenty-four quattuorseptuagintillion, six hundred eighty treseptuagintillion, six hundred twelve duoseptuagintillion, four hundred sixty-five unseptuagintillion, nine hundred ninety-one septuagintillion, eight hundred ninety-four novemsexagintillion, seventy-eight octosexagintillion, four hundred seventy-nine septensexagintillion, two hundred ninety sexsexagintillion, six hundred thirty-seven quinsexagintillion, nine hundred seventy-three quattuorsexagintillion, three hundred sixty-four tresexagintillion, five hundred eighty-seven duosexagintillion, seven hundred sixty-five unsexagintillion, seven hundred thirty-four sexagintillion, one hundred twenty-five novemquinquagintillion, nine hundred thirty-five octoquinquagintillion, seven hundred twenty-six septenquinquagintillion, four hundred twenty-eight sexquinquagintillion, four hundred sixty-one quinquinquagintillion, five hundred seventy quattuorquinquagintillion, two hundred seventeen trequinquagintillion, nine hundred ninety-two duoquinquagintillion, two hundred eighty-eight unquinquagintillion, seven hundred eighty-seven quinquagintillion, three hundred forty-nine novemquadragintillion, two hundred eighty-seven octoquadragintillion, four hundred one septenquadragintillion, nine hundred sixty-seven sexquadragintillion, two hundred eighty-three quinquadragintillion, eight hundred eighty-seven quattuorquadragintillion, four hundred twelve trequadragintillion, one hundred fifteen duoquadragintillion, four hundred ninety-two unquadragintillion, seven hundred ten quadragintillion, five hundred thirty-seven novemtrigintillion, three hundred two octotrigintillion, five hundred thirty-one septentrigintillion, one hundred eighty-five sextrigintillion, five hundred seventy quintrigintillion, nine hundred thirty-eight quattuortrigintillion, nine hundred seventy-seven tretrigintillion, ninety-one duotrigintillion, seventy-six untrigintillion, five hundred twenty-three trigintillion, two hundred thirty-seven novemvigintillion, four hundred ninety-one octovigintillion, seven hundred ninety septenvigintillion, nine hundred seventy sexvigintillion, six hundred thirty-three quinvigintillion, six hundred ninety-nine quattuorvigintillion, three hundred eighty-three trevigintillion, seven hundred seventy-nine duovigintillion, five hundred eighty-two unvigintillion, seven hundred seventy-one vigintillion, nine hundred seventy-three novemdecillion, thirty-eight octodecillion, five hundred thirty-one septendecillion, four hundred fifty-seven sexdecillion, two hundred eighty-five quindecillion, five hundred ninety-eight quattuordecillion, two hundred thirty-eight tredecillion, eight hundred forty-three duodecillion, two hundred seventy-one undecillion, eighty-three decillion, eight hundred thirty nonillion, two hundred fourteen octillion, nine hundred fifteen septillion, eight hundred twenty-six sextillion, three hundred twelve quintillion, one hundred ninety-three quadrillion, four hundred eighteen trillion, six hundred two billion, eight hundred thirty-four million, thirty-four thousand, six hundred eighty-eight (301 digits, 4100 characters)

i hate how math is almost always taught assuming that you dont want to be learning it. almost all of my math teachers have said something along the lines of “i know you dont want to be here” or “as if that wasnt bad enough, you also have to do this step!” or “dont worry, you dont have to take any more math classes after this semester”. maybe more people would enjoy math if it was taught like the exciting subject it is.

i vividly remember when my passion for math was sparked, in grade nine when we were doing trig. my teacher did an example where we calculated the height of a building by measuring its shadow and using the position of the sun. i thought it was so amazing that you could do that! measure a building using its shadow?!? incredible!!!

then of course in grade 11 physics i was blown away by the knowledge of the way things work we can calculate using math. the consistencies in the laws of nature were mind blowing to me, especially conservation of mechanical energy. math is such a powerful tool we can use to describe and study such a broad range of subjects. im determined and excited to gain a solid understanding of math so that i can help solve some of our generations mysteries in physics.

but its honestly so deflating to have my peers and i addressed as if we’re expected to hate learning math, as if its a chore or an unfortunate obligation.

idk thats just something that bugs me.

Formula relationships between Power, Voltage, Resistance, and Current.

Helpful for physics, engineering, and other math & science majors.

Ludi Lin as a sexy, flirty, three dimensional, Asian, black power ranger is so so so important in proving that not all Asian men need to be unsexual, quiet, meek, booksmart math geeks.

camp camp au

imagine an au where all the campers and gwen and david are some forms of celestial beings?

ok so there are 4 types of “beings”: solar, lunar, star, and twilight.

Neil: Solar child

Nikki: Star child

Max: Lunar child

Preston: Twilight child

Nerris: Star child

Harrison: Solar child

Dolph: Solar child

Nurf: Lunar child

Ered: Star child

Space Kid: Twilight child

Gwen: Lunar

David: Star

*(and if you’re wondering…)*

Jasper: Solar (child)

Daniel: Twilight

1. Energy

2. Attitude

3. How they interact with others

Lunar: Smart, mysterious, emotional and lonely types. They usually think about the bigger picture rather than how one thing would affect just them. They keep to themselves, which isn’t always for the best. 9/10 times Lunar types are depressed.

Solar: Egotistical, smart, prideful, and logical. They are gifted in things that require lots of brain power, like math. These types usually grow up to be successful.

Star: Fun-loving, oblivious, easy going, and friendly. Star types are easy to get along with, and they go along with almost everything. They are the least cautious as well, which causes lots of them to get hurt.

Twilight: Ambitious, cunning, outwardly friendly, and creative. One of the rarer types. They usually have a set goal and strive to get there all their lives. Despite their best efforts, lots of Twilight types are forgotten, as if they never existed in the first place.

kid math (rox) and mr power for anon

i really dont know much about comics and fighting styles and who’s capable of what in the dceu but i do know that no matter what im always gonna find it laughable when people imply diana, ms. lift strength of 29 tons, could take kara zor-el, ms. lift strength of 1,000,000 tons