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Duality

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48 minutes ago, Cyralicious said:

Complete the sentence 'for every positive epsilon...'

For every positive epsilon, there is another positive epsilon lower in value.

48 minutes ago, Cyralicious said:

What is the sum of all natural numbers?

Infinity.

The argument that claims to prove that such a sum equals -1/12 is a result of taking Euler's zeta function (which diverges to infinity for all x < 0) to be exactly equal to Riemann's zeta function (which converges to a finite value for all values of x, including negative values), when in reality they only take the same values for x >/= 0.

The Casimir effect's blurring of the line between the two functions confused matters somewhat, but the sum definitely equals infinity.

30 minutes ago, Pr0m4NV14 said:

If time is a construct of human perception, how do non humans measure what we consider time?

In what sense do you mean the statement that time is a construct of human perception?

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7 hours ago, Duality said:

For every positive epsilon, there is another positive epsilon lower in value.

Infinity.

The argument that claims to prove that such a sum equals -1/12 is a result of taking Euler's zeta function (which diverges to infinity for all x < 0) to be exactly equal to Riemann's zeta function (which converges to a finite value for all values of x, including negative values), when in reality they only take the same values for x >/= 0.

The Casimir effect's blurring of the line between the two functions confused matters somewhat, but the sum definitely equals infinity.

In what sense do you mean the statement that time is a construct of human perception?

 

1. For every positive epsilon there exists a positive delta* - by the notion of limit.

2. I know it's sort of a mathematical joke, our math professor here at my uni told us that joke even though I knew it already (thanks to numberphile) and I was the only one who knew the joke, everyone else was staring at the board like "what the heck..?" 

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50 minutes ago, Frostgage said:

Suppose you have a calendar such as the one seen here. If you picked out a square of four dates whose numbers sum to 72, what is the largest number you could include while accomplishing this feat?

continuous-monthly-calendar.png

Can it be a big square or does it have to be a 2x2 square?

2 minutes ago, Cyralicious said:

For every positive epsilon there exists a positive delta* - by the notion of limit.

Well, yeah, I didn't want to give you a cliché epsilon-delta calculus response so I came up with an original equally-mathematically-valid sentence ending. :mustache:

6 minutes ago, Cyralicious said:

I know it's sort of a mathematical joke, our math professor here at my uni told us that joke even though I knew it already (thanks to numberphile) and I was the only one who knew the joke, everyone else was staring at the board like "what the heck..?" 

Hempel's paradox is one of my favourite twists of logic; really throws people for a loop when I describe it to them. :P

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1 hour ago, Duality said:

Hempel's paradox is one of my favourite twists of logic; really throws people for a loop when I describe it to them. :P

 

I haven't heard about the Hempel's paradox but I'm curious about it so I'm gonna search it up.

I'm implying the geometric series while using the argument why can't the sum of all natural numbers be -1/12, you can get the digit while breaking the rule that |q| < 1 

in the formula S = a / (1-q)

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11 hours ago, Frostgage said:

2x2 square, i.e. 1, 2, 8, and 9 when the 1st of the month does not fall on a Sunday.

N + (N - 1) + (N - 7) + (N - 8) = 72, where N denotes the largest number possible within any given 2x2 square.

4N - 16 = 72  =>  N = 88/4 = 22.

The highest number possible in any given square is 22, because there is only one unique square that meets the constraints:

14     15

21     22

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3 hours ago, Duality said:

N + (N - 1) + (N - 7) + (N - 8) = 72, where N denotes the largest number possible within any given 2x2 square.

4N - 16 = 72  =>  N = 88/4 = 22.

The highest number possible in any given square is 22, because there is only one unique square that meets the constraints:

14     15

21     22

That's actually not correct - I knew you would craft a perfect equation so I had to get a bit sneaky :orly:

Remember that your calendar is like the one seen here

continuous-monthly-calendar.png&key=4aae


img-23394-1-img-23394-1-img-23394-1-img-
Signature by Lacerna | You should fill out my Johari Window. All the cool kids are doing it.

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1 hour ago, Frostgage said:

That's actually not correct - I knew you would craft a perfect equation so I had to get a bit sneaky :orly:

Remember that your calendar is like the one seen here

continuous-monthly-calendar.png&key=4aae

(╯°□°)╯︵ ┻━┻

y u brek mi maths

y u mek mi guessnchek

y u giv mi badres pic

such a meen frosti

30

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1 hour ago, Duality said:

(╯°□°)╯︵ ┻━┻

y u brek mi maths

y u mek mi guessnchek

y u giv mi badres pic

such a meen frosti

30

Sadly it was the only continuous calendar image I could find x_x

Also my pesky sense of honesty obliges me to confess - I actually thought the answer was the 28 from February :please: I never considered the effects of 30 day months. Props to you for that


img-23394-1-img-23394-1-img-23394-1-img-
Signature by Lacerna | You should fill out my Johari Window. All the cool kids are doing it.

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  • 2 weeks later...
On 2/5/2018 at 2:40 PM, Duality said:

13.9.

Highly alkaline.

Hmmmmmmm...

 

Inquiries:

1. Thoughts on the Mothman?

2. What is your favorite original Disney song?

3. Favorite Disney villain song?

4. Is Pinkie made of:

   Giggles and gumdrops,

   Oven mitts and outtakes,

   Doodles and donuts,

   Fairytales and fruitcake?

5. You have discovered a new element, what do you name it?

6. Would you rather have a personal space station or underwater base?

7. Which would you say is the worse fate:

   Being reduced to 100% logic, (becoming a computer or machine)

   Or being reduced to 100% emotion, (becoming the most primal of animals)?

8. Opinion on Water Witching?

9. Thoughts on 'White Holes'?

10. Why is the rum always gone?

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"The place where you made your stand never mattered. Only that you were there...and still on your feet." - Stephen King

 

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16 hours ago, TigerGeekGuy said:

Thoughts on the Mothman?

all hail humanity's true king

16 hours ago, TigerGeekGuy said:

What is your favorite original Disney song?

OPEN UP YOUR EYES

YOUR INQUIRY IS INVALID

16 hours ago, TigerGeekGuy said:

Favorite Disney villain song?

WHAT DID I JUST SAY

16 hours ago, TigerGeekGuy said:

Is Pinkie made of:

   Giggles and gumdrops,

   Oven mitts and outtakes,

   Doodles and donuts,

   Fairytales and fruitcake?

N/A.

She's made out of cotton candy clouds.

16 hours ago, TigerGeekGuy said:

You have discovered a new element, what do you name it?

Spazzyhyperdenseradioactiverockium.

Basically sums up the entire bottom row of the Periodic Table.

16 hours ago, TigerGeekGuy said:

Would you rather have a personal space station or underwater base?

Any question formatted '[insert anything here] or [basically the same thing but with water]' is always going to result in me picking the second option.

16 hours ago, TigerGeekGuy said:

Which would you say is the worse fate:

   Being reduced to 100% logic, (becoming a computer or machine)

   Or being reduced to 100% emotion, (becoming the most primal of animals)?

Well, neither are in any way conducive to consciousness, but I'd rather become a highly advanced piece of technology than a rabid animal, if only because as a piece of technology I'd serve a purpose.

16 hours ago, TigerGeekGuy said:

Opinion on Water Witching?

BURN THEM AT THE STAKE

16 hours ago, TigerGeekGuy said:

Thoughts on 'White Holes'?

Spoopy.

16 hours ago, TigerGeekGuy said:

Why is the rum always gone?

Obviously because the sea is so jealous of Sparrow that it consumes any liquid that gets between him and it.

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59 minutes ago, Frostgage said:

What is something seemingly insignificant that rustles your jimmies?

u

Wall sockets left turned on without anything plugged in.

Often the first thing I do upon entering a room is just go around its perimeter and turn off every unnecessarily live wall switch.

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Inquiries:

1. If you could be any superhero for a day, who would you choose?

2. What have you done with Atlantis?

3. If you had the chance to pick a living location anywhere in Equestria, where would you choose?

4. How many books do you estimate are in the Crystal Empire's library?

5. Thoughts on hybristophilia?

6. Opinion on Nikola Tesla?

7. You have discovered a new dinosaur, what do you name it?

8. Favorite official MLP Season Trailer pop-culture parody?

9. What is the comparative ratio of destructive power between a chainsaw and a sewing machine?

10. Thoughts on the Dyatlov Pass incident (serious)?

Edited by TigerGeekGuy
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"The place where you made your stand never mattered. Only that you were there...and still on your feet." - Stephen King

 

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  • 3 weeks later...
On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

If you could be any superhero for a day, who would you choose?

Dr. Strange, so I could write down/photocopy as much of his knowledge/literature of magic/exotic physics that I can in a single day and then salivate over it at my leisure.

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

What have you done with Atlantis?

On an entirely unrelated side-note, have I ever told you how decked-out my man-cave is?

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

If you had the chance to pick a living location anywhere in Equestria, where would you choose?

The Crystal Empire, most likely.

Ponyville seems to perpetually invite destruction and Canterlot has developed a recent habit of being invaded; they don't really have a high enough quality of real estate to make the life insurance bills a sustainable cost.

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

How many books do you estimate are in the Crystal Empire's library?

Enough to make it my response to the previous question. :P

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

Thoughts on hybristophilia?

Ew.

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

Opinion on Nikola Tesla?

Crazy smart.

Emphasis on the former.

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

You have discovered a new dinosaur, what do you name it?

World-Domination Clone-Army Primary Genetic Specimen.

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

Favorite official MLP Season Trailer pop-culture parody?

I have no idea.

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

What is the comparative ratio of destructive power between a chainsaw and a sewing machine?

1:∞

On ‎19‎/‎03‎/‎2018 at 12:12 AM, TigerGeekGuy said:

Thoughts on the Dyatlov Pass incident (serious)?

I find the wind-induced Kármán vortex street infrasound hypothesis quite interesting.

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On 4/6/2018 at 7:36 PM, Duality said:

Dr. Strange, so I could write down/photocopy as much of his knowledge/literature of magic/exotic physics that I can in a single day and then salivate over it at my leisure.

Ew, how unhygienic.

On 4/6/2018 at 7:36 PM, Duality said:

On an entirely unrelated side-note, have I ever told you how decked-out my man-cave is?

O3o

On 4/6/2018 at 7:36 PM, Duality said:

1:∞

Just as suspected.

 

Inquiries:

1. Thoughts on Krakatoa?

2. 'Berenstein' or 'Berenstain'?

3. How do you pronounce 'GIF'?

4. Pinkie breaks all your physics, wat do?

5. Thoughts on the 'Hollow Moon' theory?

6. Thoughts on the Ural Pictograms? (serious)

7. Who was the Somerton Man? (serious)

8. You have been chosen to be one of the first to colonize Mars and have been given the opportunity to name said colony, what do you name it?

9. How's Aquaman handling what you've done to Atlantis?

10. What exactly is X gonna give to me?

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"The place where you made your stand never mattered. Only that you were there...and still on your feet." - Stephen King

 

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16 hours ago, TigerGeekGuy said:

Thoughts on Krakatoa?

boom

big boom

16 hours ago, TigerGeekGuy said:

'Berenstein' or 'Berenstain'?

I COULD'VE SWORN IT WAS THE FORMER [except not really because swearing is bad]

WHAT IS THIS ANARCHY

MANDELA EFFECT Y U LIEK DIS

16 hours ago, TigerGeekGuy said:

How do you pronounce 'GIF'?

G.I.F. like the acronym it is.

16 hours ago, TigerGeekGuy said:

Pinkie breaks all your physics, wat do?

Hug her, acquire Twilight to fix them all, then hug her too.

16 hours ago, TigerGeekGuy said:

Thoughts on the 'Hollow Moon' theory?

THAT'S NO MOON

16 hours ago, TigerGeekGuy said:

Thoughts on the Ural Pictograms? (serious)

The so-called 'chemical compound' pictures are literally just doodles of geometric patterns.

There's so many chemical compounds in existence that you could doodle pretty much any repeating regular pattern and have it arguably depict one or more of them.

I call confirmation bias.

Spoiler

better watch yourself tho eh tigs if you keep this up i'll start deliberately answering nonsrs just to taunt you

 

16 hours ago, TigerGeekGuy said:

Who was the Somerton Man? (serious)

No-one knows.

That's the point:wat:

16 hours ago, TigerGeekGuy said:

You have been chosen to be one of the first to colonize Mars and have been given the opportunity to name said colony, what do you name it?

The First Mars Colony.

One less fact that future history students will have to cram for their exams.

16 hours ago, TigerGeekGuy said:

How's Aquaman handling what you've done to Atlantis?

On an entirely unrelated side-note, have I ever told you about that one time I sold a deformed wannabe-mermaid on the cryptozoologist dark market?

16 hours ago, TigerGeekGuy said:

What exactly is X gonna give to me?

A notice of termination, most likely.

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6 hours ago, Soren Peregrine said:

Um... Hi. :adorkable:

These questions seem so... Complicated. Mind if I ask you a simple one?

Oh, no, I don't mind in the slightest.

Most of the people who post on here I've known for so long that they already know the answers to all the standard simple questions; that's why most of the asks you see are so complex. :P

6 hours ago, Soren Peregrine said:

Who is your favorite pony and why? Or do you not have one?

I'm quite partial to Fancypants, because next-level poshness, but Chancellor Neighsay is a recent acquisition to my hall of faves. That said, Capper is and will always be my precious feline firstborn, despite not technically being a pony.

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On 4/14/2018 at 8:32 PM, Duality said:

I COULD'VE SWORN IT WAS THE FORMER [except not really because swearing is bad]

WHAT IS THIS ANARCHY

MANDELA EFFECT Y U LIEK DIS

HAW.

On 4/14/2018 at 8:32 PM, Duality said:

THAT'S NO MOON

GODDANGIT.

On 4/14/2018 at 8:32 PM, Duality said:

On an entirely unrelated side-note, have I ever told you about that one time I sold a deformed wannabe-mermaid on the cryptozoologist dark market?

Can't ignore a solid business opportunity like that.

 

Inquiries:

1. Admantium or Vibranium?

2. Merriam-Webster or Oxford?

3. What is your kryptonite?

4. If given the opportunity, would you like to stay and study the anomalies of Skinwalker Ranch? (serious plz, with a cherry on top)

5. Without looking it up, what is the difference between 'paranormal' and 'supernatural'?

6. Best Dovahzul shout?

7. Favorite nerdy song parody?

8. How much venom is in the average Manticore's tail? (semi-serious)

9. Thoughts on Tulpas?

10. Do you like, mmmmm, bananas?

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"The place where you made your stand never mattered. Only that you were there...and still on your feet." - Stephen King

 

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2 minutes ago, TigerGeekGuy said:

Admantium or Vibranium?

Is Admantium the element that mutated and empowered ads to the point where they took over the internet?

If so, Vibranium is the only one I don't want to murder at this present juncture.

3 minutes ago, TigerGeekGuy said:

Merriam-Webster or Oxford?

IMG_20170706_121907.jpg

10 minutes ago, TigerGeekGuy said:

What is your kryptonite?

It's kryptonite, funnily enough.

10 minutes ago, TigerGeekGuy said:

If given the opportunity, would you like to stay and study the anomalies of Skinwalker Ranch? (serious plz, with a cherry on top)

It hasn't turned up any tangible evidence of paranormal activity in the several decades since it was bought by a scientific institute to study exactly such phenomena, so I doubt there'd be much point in me doing so.

14 minutes ago, TigerGeekGuy said:

Without looking it up,

What do you take me for, an illiterate? It's not that hard. :eww:

15 minutes ago, TigerGeekGuy said:

what is the difference between 'paranormal' and 'supernatural'?

Paranormal is something that apparently can't be explained without bringing in otherworldly powers or beings, supernatural is inherently-religiously-oriented paranormality.

26 minutes ago, TigerGeekGuy said:

Best Dovahzul shout?

Does the one where they all die count?

27 minutes ago, TigerGeekGuy said:

Favorite nerdy song parody?

Molecular Shape of You by A Capella Science.

27 minutes ago, TigerGeekGuy said:

How much venom is in the average Manticore's tail? (semi-serious)

Twenty-three chimera-tails worth, judging volumetrically.

28 minutes ago, TigerGeekGuy said:

Thoughts on Tulpas?

Adorable fuzzbabies.

28 minutes ago, TigerGeekGuy said:

Do you like, mmmmm, bananas?

No.

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