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It's a bit late to say this, but if we handle ∃t first, we might eliminate the need to treat the case where x = -1 separately in the ∃s processing, which could reduce "logical complexity." (If it's acceptable for the proof regarding the ∃ processing to be somewhat rough, then we could simply use min and max to categorize whether 0 < x/2 < 2, which would be less verbose and easier, but...)
【Spartan X】 10/30 (Wed) 03:30 - 1984 Hong Kong Director: Sammo Hung Cast: Jackie Chan (Hiroya Ishimaru) / Yuen Biao (Toru Furuya) / Sammo Hung (Hiroshi Mizushima) / Laura Forniel (Mie Sonozaki) #WOWOWPlus #MovieDotCom #JCOMTVProgramGuide tvguide.myjcom.jp/program/159439…
The tweet translates to: "I'm not really sure about better approximations of functions, but for ε > 0 and n ∈ ℕ, is it correct that a wider range of x that satisfies | f(x) - fn(x) | < ε in the interval (a, b) means that min{ N | n > N ⇒ | f(x) - fn(x) | < ε } is smaller?"
The tweet translates to: "It's exhausting with all the outrage. I'm also a bit tired of being interested in it, so I need to find more enjoyable ways to use X, like looking up useful information with min_faves or watching interesting videos."
Here's the translation of the tweet: "#Survived another day, great job! Two shots! Halloween is in full swing! → #squatgym 256+plank (3+5) min → Stretching 9+3 min → Good night" The tweet also includes a link to an image.
The translation of the tweet is: "New Papeno and Yoon-kun! It's Taipei 101!!"
Here's the translation of the tweet: "Today's croquis 🐙 Chata 1-minute sketch 133, 134 [Autumn Bean Sprout Harvest Festival/Bean Sprout Fes] #28 Yui Kurita-san / 'The Observer' Mako-san [Pose details] 1min x 4 poses 1min x 4 poses #Ayukuro #ChataSketch pic.x.com/npxjvtFIAk"
"Exclusive to X 🔥 We're running a first-time trial campaign for 1,000 yen‼︎ 【ANDBODY Trial 60min】 tol-app.jp/s/andbody-ropp…"
Here’s the translation of the tweet text to English:
【NEW FACE Discount Applied】
70 min ¥25,000 → ¥17,000
95 min ¥30,000 → ¥22,000
120 min ¥38,000 → ¥28,000
Here’s the translation of the tweet: "10-29 Game console related purchases ● Xbox Series X: 64,500 ● Xbox Series X White: 59,000 ● Nintendo Switch (OLED model) White: 36,100 Neon: 36,100 ● FUJIFILM Instax film for Cheki 20 sheets INSTAX MINI JP: 2,330 10 sheets INSTAX MINI JP: 1,130 Prices may fluctuate depending on the time of your request..."
Here's the translation of the tweet: "This is the first song recorded with HEATH from X JAPAN. An episode is also featured in 'All about HEATH.' He is an incredibly cool rock musician. R.I.P. ART OF LIFE - X JAPAN (Full ver 30 min) - Live at TOKYO DOME - Dec 31 youtu.be/qPKw_V_4pJI?si… @YouTube"
The worst part is that with 10 minutes x 4, the total ride time is kept short. If it were longer, I could just do it a bit further away from home... Well, I guess I could just extend it on my own if I wanted.
Good morning! I've been away from X for a while, but I'm continuing my studies. Today's schedule: - Civil Law (Obligations) - Written exam preparation 50 minutes × 8 sets Bike, BB, upper body Thank you for your support today as well!
The tweet translates to: "VO2max 3 minutes x 8. I started to struggle on the 5th one, but I finished while lowering the load. I want to do better next time..."
"Minimum value updated‼️ It looks like I’ll be able to greet the 101kg range by the end of this month."
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YOON MIN GOOK