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Hi hermione_brains!
the [math tag helps you use LaTeX to format your equations for better display.
e.g.
will produce...
#WELCOME TO THE FORUM#
A lot of these jokes are horrible! Especially the baby ones, that's terrible!
I've just begun. A bad start is not so bad!!?? I'll try to improve the quality and would try to take it a long way...
And the one about "why are there no muslims in Star Trek" is offensive to at least one person here, however small and insignificant she may be
Well... It's not really meant to be offensive!? I've read a lot many jokes involving Canadians, Texans, Europeans, Chinese, Indians, Punjabis <--- , Gujrati's, Pathans and many many more. Just caper about it. No offence is intended.
I like the "tring, tring" ones though, except the last one, it just doesn't make any sense and doesn't sound to be a laughing matter.
I'm glad that you did. That may just be one of the few fat fishes! Thanks!!
I must say, I've heard plenty of jokes and found them funny before, but these ones just aren't that funny, and several of them shouldn't be funny either. Just throwing that out there.
Hi phrontister!
Now you can perform a of the above method and let me know of any flaws that may exist... There are only 20 Steps
Anyways... It was a really nice puzzle and now I'm gonna start with the other one's!
I thought I must post this list before today's time runs out!
And I'm really eager to see if mathsyperson has made it!?
You're definitely not the only person to have tried this puzzle and lost sleep because of it!! I lost plenty!
I agree.. This world is full of all sorts and no wonder you may one day find your own reflection!!
Glad you thought it was a good teaser too!
It was a Feel of Content/Satisfaction afterwards!
But...have you actually solved each question, or just those you've ticked on the questionaire?
A little patient there my friend! I'm (slowly) posting the step by step approach!
You're supposed to solve the lot, and only then will you be able to make sense of what mathsyperson wrote...that "there's something special about the answer".
I've perhaps got what mathsy meant there! It's really special
I'll come to that....
I hope you didn't think that the aim was just to solve the last question, with questions 1 to 19 being there only to help you solve Q20!
you are really funny sometimes
Hi phrontister!
It was a really Terrific Teaser!!
I solved it Last Night before going to
Here's the Outline of my Approach...
I'm submitting the solution in Parts because somehow i feel the necessity for the Solution Images to be together with the Explanations. Moreover, its too lengthy for me to type in just one go... I'll take a few hour's break!!!!!
The Questionnaire should look like this after completing Part1...
6058
No Three Positive Integers X, Y, Z satisfy....
X[sup]6058[/sup] + Y[sup]6058[/sup] = Z[sup]6058[/sup]
6 Zero Hero 6
Its a Palindrome!
You'll have to fill me in, ZHero, 'cos I don't see a trend (other than increasing powers down the lists). >blind<
Nor do I
5837 = (13) × (1 + 313 + 3 + 131 + 1)
---------------------------------------------
35837 is a Prime Number.
55837 is a Prime Number.
58379 is a Prime Number.
65837 is a Prime Number.
85837 is a Prime Number.
--------------------------------------------
115837 is a Prime Number.
158371 is a Prime Number.
175837 is a Prime Number.
205837 is a Prime Number.
258373 is a Prime Number.
275837 is a Prime Number.
295837 is a Prime Number.
358373 is a Prime Number.
365837 is a Prime Number.
Can You Trace the Trend??
A * NOT(B) + NOT(A) * B = A XOR B - am I right?
Yes Alex! You are RIGHT!
That's just the original expression [A+B]*[~A+~B].
When you do the AND operation "*", using the Associative Property, you'll get "A*~A + B*~B" both of which equal 0
and what's left is "A*~B + B*~A" which, you're right, is A⊕B i.e. A(XOR)B.
Glad to Help.......
Hi Alex!
Let NOT(A)*NOT(B) + A*B = Q
Now consider different possible valves of "A" and "B" as follows..
A=0, B=0
A=1, B=0
A=0, B=1
A=1, B=1 and calculate respective values of Q.
Make a table of ur values like this..
A B Q
0 0 1
etc..
This is called ur Truth Table!
Note: ~A=NOT(A)=0 when A=1 and ~A=NOT(A)=1 when A=0 and so on.
You will find that..
1) Q=A⊗B (X-NOR gate)
2) Q=A⊕B (X-OR gate)
Oh... I meant...
The puzzle won't be UNIQUELY Solveable.. which is as good (or equivalently bad) as not being able to solve it (i.e. figuring out the house number)!!
One should certainly not overlook this possibility though...
Its better now...
Hi Jane;
Sorry, but I thought your problem was little bit more difficult than the partition of a 11 into 1,1,1,1,1,1,1,1,1,2.
I am not that familiar with your country. Aren't some English homes numbered by halves and may start as zero.?...
Here is one of my solutions then 4 , 1/2 , 1/2 , 1/2 , 1/2 , 1 , 1 , 1 , 1 , 1. You live at #4.
The puzzle, in any such scenario, will not be solveable!!?
Its a "Hyper-Meta-Lateral-Meta-Meta-Thinking"!!
Yes! It does! Coz log of -ves are "Not Defined" (you can't blame Napier for that, except for, in case, he was Napping )!
Try entering "alternate <space> form <space> your log expression" into WolframAlpha and look at various Alternative Representations!
Hey... I hate to get lost into ∞
To tell you the truth, i was just bout to wonder if anymore solutions exist when i got lost into "the real world" and by the time i got back, it was You and Your solution!!
Thanks for telling that coz i guess i've started understanding what those notations mean!!
I'm yet to take a Complete "Abstract Algebra" course and I hope to catch up with most of you guys out there pretty soon (well.. most of you wud have covered the "Extra Mile" by then too ; I can equal by an Extra
)!
To add... I'm a SLOW LEARNER and am not even STEADY!
Will I ever be able to Win the RACE??
I hope you didnt neglect the last bit of problem, namely that the total of all the house numbers was 100. This is significant to the solution. Without it, youd only be making an unwarranted assumption.
I considered it!!
I figured this out that are possible!
Latter doesn't fit in..
If u can express your already complex expression in the Polar Form i.e. R.e[sup]iθ[/sup], then you can probably take the Complex Natural Log and change it to form logR+iθ.
I'm not sure if it will help you Simplifying your problem any further...
the first group contains 50% more lines than the second group and has a "+" as each line's last operator instead of a "-".
L
I just noticed a faint, indiscernible orange splotchy blotch after each green-coloured number. Wonder if they mean anything.
Think of them as Orange Fruits on Green Trees!
Doesn't it look like "The Cheese" to you phro ?
5681 = (13) × (13 + 3 × 1 + 1 × 3) × (13 + 3 × 3 + 1 × 1)
Hi gurthbruins!
Your conjecture seems to be a beautiful piece of hard work!!
I wish that most of the Big Brains here will try untangling this mystery!
I'd request you to tell us all a little about how you happened to stumble upon this nice conjecture.
This will give one a Path/Direction to think along; rather than having no clue as to where to start from (ye ye.. i know that most of you actually know where to start from but not everybody else does )!
5629 = (3×3+1+3)×(33×13+1+3)
56[sup]1[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.
56[sup]1[/sup] + 29[sup]4[/sup] + 1 + 3 is a Prime number.
56[sup]2[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.
56[sup]2[/sup] + 29[sup]3[/sup] + 1 + 3 is a Prime number.
56[sup]2[/sup] + 29[sup]5[/sup] + 1 + 3 is a Prime number.
56[sup]3[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.
56[sup]3[/sup] + 29[sup]2[/sup] + 1 + 3 is a Prime number.
56[sup]3[/sup] + 29[sup]3[/sup] + 1 + 3 is a Prime number.
56[sup]4[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.
56[sup]9[/sup] + 29[sup]9[/sup] + 1 + 3 is a Prime number.
56[sup]13[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.
56[sup]19[/sup] + 29[sup]1[/sup] + 1 + 3 is a Prime number.
---------------------------------------------------
56[sup]1[/sup] + 29[sup]1[/sup] + 1 - 3 is a Prime number.
56[sup]1[/sup] + 29[sup]3[/sup] + 1 - 3 is a Prime number.
56[sup]2[/sup] + 29[sup]1[/sup] + 1 - 3 is a Prime number.
56[sup]2[/sup] + 29[sup]5[/sup] + 1 - 3 is a Prime number.
56[sup]2[/sup] + 29[sup]7[/sup] + 1 - 3 is a Prime number.
56[sup]3[/sup] + 29[sup]3[/sup] + 1 - 3 is a Prime number.
56[sup]6[/sup] + 29[sup]7[/sup] + 1 - 3 is a Prime number.
56[sup]7[/sup] + 29[sup]1[/sup] + 1 - 3 is a Prime number.
---------------------------------------------------
Can You Notice Any Trend in The Above Numbers?
Here's a List of 140 Named HTML Colors...
Just use the Name written in the colors to get the color (instead of writing the code --> #??????) and you're done!!
e.g {color=MediumAquaMarine}text{/color}
Note: Replace "{" and "}" in the above example with "[" and "]" respectively.
If you don't find Your Color below then plz contact Admin.
Black
Navy
DarkBlue
MediumBlue
Blue
DarkGreen
Green
Teal
DarkCyan
DeepSkyBlue
DarkTurquoise
MediumSpringGreen
Lime
SpringGreen
Aqua
Cyan
MidnightBlue
DodgerBlue
LightSeaGreen
ForestGreen
SeaGreen
DarkSlateGray
LimeGreen
MediumSeaGreen
Turquoise
RoyalBlue
SteelBlue
DarkSlateBlue
MediumTurquoise
Indigo
DarkOliveGreen
CadetBlue
CornflowerBlue
MediumAquaMarine
DimGray
SlateBlue
OliveDrab
SlateGray
LightSlateGray
MediumSlateBlue
LawnGreen
Chartreuse
Aquamarine
Maroon
Purple
Olive
Gray
SkyBlue
LightSkyBlue
BlueViolet
DarkRed
DarkMagenta
SaddleBrown
DarkSeaGreen
LightGreen
MediumPurple
DarkViolet
PaleGreen
DarkOrchid
YellowGreen
Sienna
Brown
DarkGray
LightBlue
GreenYellow
PaleTurquoise
LightSteelBlue
PowderBlue
FireBrick
DarkGoldenRod
MediumOrchid
RosyBrown
DarkKhaki
Silver
MediumVioletRed
IndianRed
Peru
Chocolate
Tan
LightGrey
PaleVioletRed
Thistle
Orchid
GoldenRod
Crimson
Gainsboro
Plum
BurlyWood
LightCyan
Lavender
DarkSalmon
Violet
PaleGoldenRod
LightCoral
Khaki
AliceBlue
HoneyDew
Azure
SandyBrown
Wheat
Beige
WhiteSmoke
MintCream
GhostWhite
Salmon
AntiqueWhite
Linen
LightGoldenRodYellow
OldLace
Red
Fuchsia
Magenta
DeepPink
OrangeRed
Tomato
HotPink
Coral
Darkorange
LightSalmon
Orange
LightPink
Pink
Gold
PeachPuff
NavajoWhite
Moccasin
Bisque
MistyRose
BlanchedAlmond
PapayaWhip
LavenderBlush
SeaShell
Cornsilk
LemonChiffon
FloralWhite
Snow
Yellow
LightYellow
Ivory
White
Is there anyone on the set who can give him some pointers?
. . Evidently not.
Beat and tempo
The beat of the music is typically indicated with the conductor's right hand, with or without a baton.
He has his hands about a foot in front of his chest.
He has his index fingers pointing upward.
Then he swivels his wrists so his fingers point this way and that way,
. . sometimes sweeping small arcs.That's embarrassing and insulting!
Following are a few patterns traced by the movements of hands....
The a fore said arc-like movements are at least OK.