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Skilled player (1886)
Joined: 4/20/2005
Posts: 2160
Location: Norrköping, Sweden
Xaphan wrote:
278 = 4 ! * (4 ? + √ 4) –4 ? it's easier
Yes, you're right, that is a lot easier than my way.
Joined: 5/29/2004
Posts: 757
284 = 4^4 + 4! + 4 And someone please correct me if I am so horrendously wrong with this next one since I am really sick atm and brain is wanting to just sleep all day... 285 = [ 4!(4!) / √4 ] - {√4}? If I'm wrong, forgive me for wasting everyone's time, as this is the first time I've encountered ? and ! in a VERY LONG time. [And it not be in the middle of some spanish instruction manual accidentally shipped out instead of an english one] Mr. Kelly R. Flewin
Mr. Kelly R. Flewin Just another random gamer ---- <OmnipotentEntity> How do you people get bored in the span of 10 seconds? Worst ADD ever.
Former player
Joined: 5/24/2005
Posts: 405
Location: France
Mr. Kelly R. Flewin wrote:
285 = [ 4!(4!) / √4 ] - {√4}? If I'm wrong, forgive me for wasting everyone's time, as this is the first time I've encountered ? and ! in a VERY LONG time. [And it not be in the middle of some spanish instruction manual accidentally shipped out instead of an english one]
It's good, so don't be so sorry... you've already been forgiven by everyone I guess ;) So actually, we should have : 286 = [ ( 4 ! x 4 ! ) / √ 4 ] - √ 4 287 = [ ( 4 ! x 4 ! ) - √ 4 ] / √ 4 288 = [ ( 4 ! x 4 ! ) / 4 ] x √ 4 289 = [ ( 4 ! x 4 ! ) + √ 4 ] / √ 4 290 = [ ( 4 ! x 4 ! ) + 4 ] / √ 4 291 = [ ( 4 ! x 4 ! ) + ( ( √ 4 ) ? ) ? ] / √ 4
Not dead yet... still very busy... damn...
Joined: 5/29/2004
Posts: 757
Xaphan wrote:
Mr. Kelly R. Flewin wrote:
285 = [ 4!(4!) / √4 ] - {√4}? So actually, we should have : 286 = [ ( 4 ! x 4 ! ) / √ 4 ] - √ 4 287 = [ ( 4 ! x 4 ! ) - √ 4 ] / √ 4
and 288 = 4! x 4? + 4! + 4!
Mr. Kelly R. Flewin Just another random gamer ---- <OmnipotentEntity> How do you people get bored in the span of 10 seconds? Worst ADD ever.
Former player
Joined: 5/24/2005
Posts: 405
Location: France
Mr. Kelly R. Flewin wrote:
and 288 = 4! x 4? + 4! + 4!
This one works too :)
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SXL
Joined: 2/7/2005
Posts: 571
wait, school might be past from a long time, but there's something fishy there. since when : √4 = 2 ?!?! that's not true, √4 = 2 or -2 ( -2 * -2 = 4 so -2 is a root) one should correct : |√4| = 2 it seems so basic that I'm even not sure...
I never sleep, 'cause sleep is the cousin of death - NAS
Former player
Joined: 5/24/2005
Posts: 405
Location: France
That's aboslutely false SXL... you're right on the fact that (-2)² = 4 and 2² = 4... THOUGH √ x is ALWAYS a positive number... The best proof of that is graphic of the function : f(x) = √x this function is strictly "ascending" and always positive... Click here to see the graphic of this fonction
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Former player
Joined: 5/24/2005
Posts: 405
Location: France
Btw : 292 = ( 4 ? ) ? x 4 + ( ( √ 4 ) ? ) x 4 !
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Former player
Joined: 3/19/2004
Posts: 710
Location: USA
Oh come on, it's commonly understood that √x usually means the positive root, even if two exist. Don't be an ass. Xaphan, techincally he's right. The graph should look like the function y = x^2 flipped over the line y = x, so it should be a sideways parabola. Anyway, after this, who's up for the One One challenge?
Former player
Joined: 5/24/2005
Posts: 405
Location: France
Bob Whoops wrote:
Anyway, after this, who's up for the One One challenge?
LOL... if anyone try it , he will surely have a very VERY harsh time... HAHAHA :) (if you try it, you'll be as ridiculous as if you try to lick your elbow...) Anyway maybe a 2 2's challenge could be possible (I did not say interesting...)
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Joined: 8/10/2004
Posts: 173
Location: Bethel, VT
The only reason most calculators dont show -2 on the graph of the square root of x when x=2 is because they can only graph 1 y for every x.
Former player
Joined: 5/24/2005
Posts: 405
Location: France
Itstoearly wrote:
The only reason most calculators dont show -2 on the graph of the square root of x when x=2 is because they can only graph 1 x for every y.
It's not only a calculator problem... It's the way the word "function" has been defined... functions must be bijective (i don't know if it's the good english word) this means one X must give one and only Y... 293 = [ ( 4 ! x 4 ! ) + 4 ? ] / √ 4
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Player (84)
Joined: 3/8/2005
Posts: 973
Location: Newfoundland, Canada
(if you try it, you'll be as ridiculous as if you try to lick your elbow...) I can do that. Very flexible arms. picture showing my arms(not me licking elbow though) since when : √4 = 2 ?!?! that's not true, √4 = 2 or -2 ( -2 * -2 = 4 so -2 is a root) one should correct : |√4| = 2 He is completly correct. Don't call him an ass either. And don't call me an ass for agreeing with him. Try doing Quadratics when you need to find both zero's(roots) in able to find Vertix's, length of a throw, etc...
Player (84)
Joined: 3/8/2005
Posts: 973
Location: Newfoundland, Canada
It's not only a calculator problem... It's the way the word "function" has been defined... functions must be bijective (i don't know if it's the good english word) this means one X must give one and only Y... The negative value for X would give the same value for Y as the Positive would. edit: only if its a Quadratic.
Former player
Joined: 5/24/2005
Posts: 405
Location: France
That's not the same problem... finding roots for that will give you 2 solutions as (-x)² = x²... The fact is that √ x is positive as it has been defined so... √ x is always positive even if it's confusing... This pretty more understandable with those two properties : √ x = x^(1/2) √ x² = |x| x is a positive number (or you'll get a complex result) so x^(1/2) is also positive... Check it if you do not trust me... 294 = [ 4 ! x ( √ 4 ) ? ] x 4 + ( ( √ 4 ) ? ) !
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Skilled player (1886)
Joined: 4/20/2005
Posts: 2160
Location: Norrköping, Sweden
(4!)? is very useful when you get close to 300 since (4!)? = 24? = 300 295 = (4!)? - 4 -4/4 296 = (4!)? - (4*4)/4 297 = (4!)? - √4 - (4/4) 300 = (4!)? + (√4*√4) - 4 301 = (4!)? + (√4*√4)/4 302 = (4!)? + (4+4)/4 303 = (4!)? + 4 + 4/4 304 = (4!)? +4 +4 -4 305 = (4!)? +4 + 4/4 306 = (4!)? + √4 + √4 + √4 307 = (4!)? + √4 + √4 + (√4)? 308 = (4!)? +4 + √4 + √4 309 = (4!)? + (√4)? + (√4)? + (√4)? 310 = (4!)? + 4 + 4 + √4 311 = (4!)? + 4 + 4 + (√4)? 312 = (4!)? + 4 + 4 + 4 313 = (4!)? + 4*4 - (√4)? 314 = (4!)? + 4*4 - √4 315 = (4!)? + 4? +√4 + (√4)? 316 = (4!)? + (√4*√4)*4 317 = (4!)? + 4! - 4 - 4 318 = (4!)? + 4*4 + √4 319 = (4!)? + 4*4 + (√4)? 320 = (4!)? + 4*4 + 4 321 = (4!)? + (√4 + √4 + √4)? 322 = (4!)? + 4! - 4/√4 323 = (4!)? + 4! - 4/4 324 = (4!)? + 4! + 4 - 4 325 = (4!)? + 4! + 4/4 326 = (4!)? + 4! + 4/√4 327 = (4! + 4/4)? + √4 328 = (4! + 4/4)? + (√4)? 329 = (4! + 4/4)? + 4 330 = (4!)? + (√4*√4)?*(√4)? 331 = (4!)? + 4! + 4 + (√4)? 332 = (4!)? + 4! + 4 + 4 333 = (4!)? + (4+4)? - (√4)? 334 = (4!)? + (4+4)? - √4 335 = (4! + √4)? -4*4 336 = (4!)? + (4 + √4 + √4)? 337 = (4! + √4)? - 4? - 4 338 = (4! + √4)? - 4? - (√4)? 339 = (4! + √4)? - 4? - √4 340 = (4!)? + 44 - 4 341 = (4!)? + 44 - (√4)? 342 = (4!)? + 44 - √4 343 = (4! + √4)? - 4 - 4 344 = (4! + √4)? - 4 - (√4)? 345 = (4! + √4)? - 4 - √4 346 = (4! + √4)? - √4 - (√4)? 347 = (4! + √4)? - √4 - √4 348 = (4! + √4)? - ((√4*√4))? 349 = (4! + √4)? - √(√4*√4) 350 = (4! + √4)? -4/4 351 = (4! + √4)? + √4 + √4 - 4 352 = (4! + √4)? + 4/4 353 = (4! + √4)? + 4/√4 354 = ((√4*√4)! + √4)? + (√4)? 355 = (4! + √4)? + √4 + √4 356 = (4! + √4)? + (4?)/√4 357 = (4! + √4)? + 4 + √4 358 = (4! + √4)? + 4 + (√4)? 359 = (4! + √4)? + 4 + 4 360 = (4! + √4)? + (√4)?*(√4)? 361 = ((√4*√4)! + √4)? + 4? 362 = (4! + (√4)?)? - 4*4 363 = (4! + √4)? + 4? + √4 364 = (4! + √4)? + 4? + (√4)? 365 = (4! + √4)? + 4? + 4 366 = (4! + (√4)?)? - 4*(√4)? 367 = (4!)? + (4?)? + 4*(√4)? 368 = (4!)? + (4?)? + 4? + (√4)? 369 = (4!)? + (4?)? + 4? + 4 370 = (4! + (√4)?)? - 4 - 4 371 = (4!)? + (4?)? + 4*4 372 = (4! + (√4)?)? - 4 - √4 373 = (4! + (√4)?)? - √4 - (√4)? 374 = (4! + (√4)?)? - √4 - √4 375 = (4! + (√4)?)? - √[(√4)?*(√4)?] 376 = (4! + (√4)?)? - 4/√4 377 = (4! + (√4)?)? - 4/4 378 = (4! + (√4)?)? + 4 - 4
Joined: 8/10/2004
Posts: 173
Location: Bethel, VT
...wow. I seriously wonder how high this will go.
Skilled player (1886)
Joined: 4/20/2005
Posts: 2160
Location: Norrköping, Sweden
Theoretically, you could go on forever, since there is no number that is to high to write with 4 4's. With just one 4 you could get amazingly high numbers, for example, ((4?)?)! = 1,27e+73, but I doubt we will go that far with this :p 379 = (4!)? + (4?)? + (√4*√4)! 380 = (4!)? +(4+4)*4?
Former player
Joined: 3/9/2004
Posts: 484
Location: ­­
Maybe you could trying to see how low you can go. (negatives) =P
Active player (278)
Joined: 5/29/2004
Posts: 5712
Yeah, just stick all the positive equations in parentheses with a minus sign before them...
put yourself in my rocketpack if that poochie is one outrageous dude
Skilled player (1886)
Joined: 4/20/2005
Posts: 2160
Location: Norrköping, Sweden
381 = (4!)? + (4?)? + 4! + √4 382 = (4!)? + (4?)? + 4! + (√4)? 382 = (4!)? + (4?)? + 4! + 4 Oh, and just for fun, here's how far I got with 4 1's: 0 = 1 + 1 - 1 - 1 1 = 1*1*1*1 2 = 1*1*1 + 1 3 = 1*1 + 1 + 1 4 = 1 + 1 + 1 + 1 5 = (1+1)? + 1 + 1 6 = (1+1)? + (1+1)? 7 = (1+1+1)? + 1 8 = 11 - (1+1)? 9 = 11 - 1 - 1 10 = 11 - 1*1 11 = 11*1*1 12 = 11 + 1*1 13 = 11 + 1 + 1 14 = 11 + (1+1)? 15 = ([(1+1)?]?)? - ((1+1)?)? Perhaps all of this is a little off topic, but since we've come so far with 4's, perhaps we should try other integers as well.
Former player
Joined: 5/24/2005
Posts: 405
Location: France
Did you try one 1 Randil ???? :) I'm wondering how far we will be able to go (without getting bored) with the 4 4s challenge... try the 2 2s challenge :)
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Skilled player (1886)
Joined: 4/20/2005
Posts: 2160
Location: Norrköping, Sweden
Xaphan wrote:
Did you try one 1 Randil ???? :)
Not, yet, but here it is: 1 = (√√√((1!)?)!)? Okay, that's about it :) Xaphan wrote:
try the 2 2s challenge :)
Allright then: 0 = 2-2 1 = 2/2 2 = √(2*2) 3 = (√2*√2)? 4 = 2*2 5 = 2 + 2? 6 = 2? + 2? 7 isn't possible to write with just two 2's. At least I don't think so. Not as high as the 4 4's challenge :) Back to the 4 4's problem: 383 = (4!)? + (4?)? + 4! + 4 384 = (4! + (√4)?)? + 4 + √4 385 = (4! + (√4)?)? + 4 + (√4)? 386 = (4! + (√4)?)? + 4 + 4 387 = (4! + (√4)?)? + (√4)?*(√4)? 388 = (4! + (√4)?)? + (√4*√4)? 389 = (4!)? + (4?)? + 4! + 4? 390 = (4!)? + (√4)?*(√4)?*4? 391 = ([√4*√4]!)? + (4?+[√4]?)? 392 = (4!)? + (([(√4)?]?)? + √4)*4 393 = (4!)? + (([(√4)?]?)?+√4)*(√4)? 394 = (4!)? + (√4)? + (4?+[√4]?)? 395 = (4!)? + 4 + (4?+[√4]?)? 396 = (4!)? + (√4*√4)!*4 397 = (4!)? + ((√4)?)? + (4?+[√4]?)? 398 = (4! + (√4)?)? + √4*(4?) 399 = (4!)? + (4?)? + 44 400 = 4*4*(([(√4)?]?)? + 4) Yay, we're up to 400!
Former player
Joined: 3/9/2004
Posts: 484
Location: ­­
Bag of Magic Food wrote:
Yeah, just stick all the positive equations in parentheses with a minus sign before them...
It's so crazy, it just might work! What about fractions? (1/2, 1/3, 1/4, etc.)
Former player
Joined: 5/22/2004
Posts: 462
(2?)! + √2 is approximately 7, does that count?
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