gave up on shading but uhh,, takano kinda hurting tho
Sweet Seals For You, Always
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will byers stan first human second

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art blog(derogatory)
KIROKAZE

PR's Tumblrdome

bliss lane

ellievsbear
NASA
🩵 avery cochrane 🩵
Today's Document

tannertan36
Xuebing Du
sheepfilms

Product Placement

if i look back, i am lost
we're not kids anymore.
Show & Tell

seen from Malaysia
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seen from Malaysia

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seen from Ireland

seen from Germany
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seen from Germany
seen from Spain
seen from Türkiye

seen from Italy

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@atheayda
gave up on shading but uhh,, takano kinda hurting tho
Kathrin Marchenko on Instagram
Street harassment is not a compliment.
Did i reblog this already? Doesnt matter still relevant.
Takano: Truth or dare
Ritsu: Truth
Takano: I dare you to come over here and kiss me right now
Ritsu, already getting up: [sighing] alright fine...
Kisa:[confused] but he didn’t even say dare?
Yukina: [talks]
Kisa: your knowledge knows no bounds, please marry me
Another wall of pictures from one of the Proposal Hen collaboration cafes!
Proposal Hen pictures that can be found at one of the collaboration cafes running right now!
Takano’s Bad Eyesight
Watched Sekaiichi Hatsukoi Propose earlier today and received a freebie from the cinema.
The freebies changes every week. Since today’s the first week of the movie, I’ve received the Manga Pamphlet from the cinema. The story is short (its 8 pages only) and its a continuation of Onodera and Takano story in the film.
Here are some of the goods that they are selling. I’ve bought the folder sets and the acrylic sets.
skirt ritsu for my homo self indulgence
My favourite math fact is that 0.9999999.. is equal to 1. Exactly. Not approximately. Not as a rounded number. 0.9999 (recurring) is exactly 1.
Question. How the fuck does that work?
I tried explaining it here:
Here’s another perspective on why .999... repeating is exactly equal to 1.
For any two distinct real numbers, we can always find a rational number strictly between them, i.e. that rational number must be able to be expressed as a terminating decimal or a repeating decimal. To be clear, that rational number is strictly between the two values; it is not allowed to be equal to either.
Suppose k is a rational number strictly between 1 and 0.9999.... If this is possible, then, I can write k exactly as either a decimal with finite digits, or I can write k as a repeating decimal. The problem is, there are no decimals with finite digits between 1 and 0.999... , and there is no way to write a repeating decimal that is greater than 0.999... and still less than 1. Either way, a k strictly between 1 and 0.999... does not exist. The only way this can be true is if those two numbers are not actually distinct. That is to say, 1 = 0.999.....
i truly appreciate how math seems like it’s this infallible always-true only-one-answer thing, when in reality math is just like:
There’s also a really simple algebraic proof which I find kinda neat. Ok so let x = 0.99999999... Now multiply both sides by 10 10x = 9.9999999..... Minus x from both sides (and using the fact that x = 0.9999...) 10x - x = 9.99999... - 0.99999... 9x = 9 Divide by 9. x = 1
Therefore, since x was defined as 0.9999... this implies that 0.9999... = 1.
There is also, of course, a more rigorous proof but that involves infinite sums but I don’t think I’m capable of explaining that. Also also, all the people in the notes who think that 0.99999... = 1, I’d just like to say that, 9.99999... out of 10 mathematicians agree that 0.99999... = 1.
Another sketches for @vitzkoi ♥
Sekai Ichi Hatsukoi
OOP-!!!!
Onodera:Sorry I'm late I was doing things.
Takano:*walks in smugly* I'm things.
Onodera:I can't believe you.
Takano:*wiggles eyebrows*
SEKAIICHI HATSUKOI - ONB 30 SPOILER TRANSLATIONS 2
Takano: “Are you in love with me?”
Ritsu: “…J-
Just what are you saying?
We’re at work you know!
Well, I’m not going to say anything further now.
I need to do my work…”
[SFX: ba-dump]
Ritsu: “…..Wh-
What is it?”
Takano: “………..Nothing”
(remember Takano’s last thought in the previous chapter when he cupped Ritsu’s cheek was “Looks like I do want this guy after all” so right now he’s just admiring Ritsu and thinking how much he wants him to be his… so cute > . <)
Ritsu: “Please stop doing things like.
We’re at work.”
Takano: Oh really.
Ritsu’s thoughts: “Not good (couldn’t see the last part of the sentence sorry > . < I’ll fix it later when I have a better image)
I have to talk about this.
Ritsu: “C- Can I take some of your time someplace this weekend!?
I- I want to talk about what has happened up to this point.
I am feeling guilty about always being so complicit.
B-but it would literally take about three days to talk about it all”
Takano: “That is long”
(that was almost word for word for what they said in high school. Takano had the same response but said it out loud. I think Oda momentarily possessed Ritsu during this conversation)
Ritsu: “So I’ll just give you the gist of it, first off…”
Isaka: “Ohhhh! There you are Takano!”
Merry Christmas everyone! Here’s a Ritsu.