Post making contest 6.0

I've been wondering why "The quick brown fox jumps over the lazy dog" isn't just "The quick brown fox jumps over a lazy dog"?

It trims two letters and is honestly a pretty basic change that the guy (whoever they were) missed.

Bite me Mark Dunn.

This post passes no rules.

I've been wondering why "The quick brown fox jumps over the lazy dog" isn't just "The quick brown fox jumps over a lazy dog"?

It trims two letters and is honestly a pretty basic change that the guy (whoever they were) missed.

Bite me Mark Dunn.

Symmetry

I've been wondering why "The quick brown fox jumps over the lazy dog" isn't just "The quick brown fox jumps over a lazy dog"?

It trims two letters and is honestly a pretty basic change that the guy (whoever they were) missed.

Bite me Mark Dunn.

Symmetry

no rules

I'm on my phone let's see what auto choice does for me

I'm painting you a while ago Nd I think it passes for the last time I zoomed in on my way to work last week what have I done to deserve this bus.

What have any of us done, in the final tallying of things, to deserve the bus that cruel fate has foisted upon us?

A kangaroo uses many utensils.

I'm on my phone let's see what auto choice does for me

I'm painting you a while ago Nd I think it passes for the last time I zoomed in on my way to work last week what have I done to deserve this bus.

no passes

What have any of us done, in the final tallying of things, to deserve the bus that cruel fate has foisted upon us?

just look at this thread what haven't we done to deserve this cruel bus of fate?

also this post doesn't pass any rules.

A kangaroo uses many utensils.

no passes here either

just look at this thread what haven't we done to deserve this cruel bus of fate?

*****asteroidz go hre**

🐙

I'm on the back shelf they got shot a while back and only today have I finally grabbed some paint the first to be a v small business owner who has no penalty of a movie.

aa aaaaa a a aa aa aa aa aa aa aa aa aa a a a a a a

Who got shot?

Did the bus do it?

I Have to be a v small forklift and I have a solid foundation for my self to get to be able to afford the first one.

g0m, in the Space Consortium, with the haiku.

Rule 1 passes:
#1383
#1387

Rule 2 passes:
#1398

Rule 3 passes:
#1400

Rule 4 passes:
None as of yet.

Rule 5 passes:
#1378
#1379

I wonder if this post will pass Rule 5.

just look at this thread what haven't we done to deserve this cruel bus of fate?

*****asteroidz go hre**

passes no rules

?

passes no rules

I'm on the back shelf they got shot a while back and only today have I finally grabbed some paint the first to be a v small business owner who has no penalty of a movie.

passes no rules

aa aaaaa a a aa aa aa aa aa aa aa aa aa a a a a a a

passes no rules

Who got shot?

Did the bus do it?

passes no rules

I Have to be a v small forklift and I have a solid foundation for my self to get to be able to afford the first one.

passes no rules

g0m, in the Space Consortium, with the haiku.

passes rule 3

Rule 1 passes:
#1383
#1387

Rule 2 passes:
#1398

Rule 3 passes:
#1400

Rule 4 passes:
None as of yet.

Rule 5 passes:
#1378
#1379

passes rule 1

I wonder if this post will pass Rule 5.

unfortunately not, but hey this post does manage to pass rule 1 and 3!

ABCDEFGHIJKLMNOPQRSTUVWXYZ

H He
Li Be B C N O F Ne
Na Mg Al Si P S Cl Ar
K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr
Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe
Cs Ba La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn
Fr Ra Ac Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr Rf Db Sg Bh Hs Mt Ds Rg Cn Nh Fl Mc Lv Ts Og

AL AK AR AZ CA
CO CT DE FL GA
HI IA ID IL IN
KS KY LA MA MD
ME MI MN MO MS
MT NC ND NE NH
NJ NM NV NY OH
OK OR PA RI SC
SD TN TX UT VA
VT WA WI WV WY

JANUARY FEBRUARY MARCH APRIL MAY JUNE JULY AUGUST SEPTEMBER OCTOBER NOVEMBER DECEMBER

if this post passes rule 3, then rule 3 is probably an emote requirement.

ABCDEFGHIJKLMNOPQRSTUVWXYZ

H He
Li Be B C N O F Ne
Na Mg Al Si P S Cl Ar
K Ca Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br Kr
Rb Sr Y Zr Nb Mo Tc Ru Rh Pd Ag Cd In Sn Sb Te I Xe
Cs Ba La Ce Pr Nd Pm Sm Eu Gd Tb Dy Ho Er Tm Yb Lu Hf Ta W Re Os Ir Pt Au Hg Tl Pb Bi Po At Rn
Fr Ra Ac Th Pa U Np Pu Am Cm Bk Cf Es Fm Md No Lr Rf Db Sg Bh Hs Mt Ds Rg Cn Nh Fl Mc Lv Ts Og

AL AK AR AZ CA
CO CT DE FL GA
HI IA ID IL IN
KS KY LA MA MD
ME MI MN MO MS
MT NC ND NE NH
NJ NM NV NY OH
OK OR PA RI SC
SD TN TX UT VA
VT WA WI WV WY

JANUARY FEBRUARY MARCH APRIL MAY JUNE JULY AUGUST SEPTEMBER OCTOBER NOVEMBER DECEMBER

Passes no rules

if this post passes rule 3, then rule 3 is probably an emote requirement.

Passes rule 3

#1400 has no emotes and passes Rule 3, so that can't be it.

Because just repeating the first post isn't good enough to pass rules, we need to look for some kind of pattern in the posts that pass a particular rule.

This post will pass no rules.

left

center

right

#1400 has no emotes and passes Rule 3, so that can't be it.

Because just repeating the first post isn't good enough to pass rules, we need to look for some kind of pattern in the posts that pass a particular rule.

This post will pass no rules.

Correct, this post does pass no rules.

left

center

right

This post passes rule 2.

:woahtermelon:

In the mathematical area of knot theory, the unknotting number of a knot is the minimum number of times the knot must be passed through itself (crossing switch) to untie it. If a knot has unknotting number {\displaystyle n} n, then there exists a diagram of the knot which can be changed to unknot by switching {\displaystyle n} n crossings.[1] The unknotting number of a knot is always less than half of its crossing number.[2]

Any composite knot has unknotting number at least two, and therefore every knot with unknotting number one is a prime knot. The following table show the unknotting numbers for the first few knots:


Trefoil knot
unknotting number 1



Figure-eight knot
unknotting number 1



Cinquefoil knot
unknotting number 2



Three-twist knot
unknotting number 1



Stevedore knot
unknotting number 1



6₂ knot
unknotting number 1



6₃ knot
unknotting number 1



7₁ knot
unknotting number 3

In general, it is relatively difficult to determine the unknotting number of a given knot. Known cases include:

The unknotting number of a nontrivial twist knot is always equal to one.
The unknotting number of a {\displaystyle (p,q)} (p,q)-torus knot is equal to {\displaystyle (p-1)(q-1)/2} (p-1)(q-1)/2.
The unknotting numbers of prime knots with nine or fewer crossings have all been determined.[3] (The unknotting number of the 1011 prime knot is unknown.)
Contents
Other numerical knot invariants Edit

Crossing number
Bridge number
Linking number
Stick number
See also Edit

Unknotting problem
References Edit

^ Adams, Colin Conrad (2004). The knot book: an elementary introduction to the mathematical theory of knots. Providence, Rhode Island: American Mathematical Society. p. 56. ISBN 0-8218-3678-1.
^ Taniyama, Kouki (2009), "Unknotting numbers of diagrams of a given nontrivial knot are unbounded", Journal of Knot Theory and its Ramifications, 18 (8): 1049–1063, MR 2554334, doi:10.1142/S0218216509007361.
^ Weisstein, Eric W. "Unknotting Number". MathWorld.
External links Edit

"Three_Dimensional_Invariants#Unknotting_Number", The Knot Atlas.
Last edited 7 days ago by Hyacinth
RELATED ARTICLES
Knot theory
study of mathematical knots
List of mathematical knots and links
Wikimedia list article
Crossing number (knot theory)
integer-valued knot invariant; least number of crossings in a knot diagram
Wikipedia

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