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A triangle can be formed as long as every piece is shorter than the two others together, and therefore less than 50 cm in length. Therefore, if the first cut is A centimeters into the rod from either side, the other cut must be between 50 and A+50 centimeters into the rod along the same direction. Therefore, the probabililty is 1/4.
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Define f: real number x maps to y as follows:
- the integer part of y is the integer part of x
- for the fractional part of y:
-- the (2n)-th decimal digit of y is the n-th decimal digit of x, n>=1
-- the (2n-1)-th decimal digit of y is the n-th decimal digit of pi, n>=1
Let F be the Cantor Ternary set and let f be the cantor ternary function. Then g=tan(pi*(f(x)-1/2)) is a one-to-one map of the Cantor Ternary set to the real numbers. Since the complement of the Cantor Ternary set is dense, the Cantor ternary set has no interior points, and thus g is the desired function.
Yep, both correct. The tangent operation is unnecessary, though.
Need these parts be measurable? If not, we can do basically anything.
Need these parts be finite in number? If so, there is no possiblility.
Need these parts be countably infinite? If not, we simply rearrange all the points individually.
Finite, but not necessarily measurable. (And by rearranging I mean translation by some vector, by the way)
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No, you're wrong. This is year 5121 of the Mayan calendar. That's why all animals are people. Well, another reason is that I know someone who has a cat.
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It affects pausing during battle. I don't know of anything else since I'm not too familiar with the game. It makes command 8A (written to 2140) set the volume to FF instead of 40. It doesn't affect any spot where the music fades in or out.
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mmbossman wrote:
Wikipedia wrote:
In the Latin alphabet, the vowel letters are A, E, I, O, U, W (usually only in diphthongs), and Y
I am not sure of what exactly they mean. It's the language that ultimately decides whether a letter is considered a vowel letter, since it also defines the relationship between letters and sounds. They may mean that these letters are most often defined as vowels in languages that use the Latin alphabet. However, what I learned at school was that A, E, I, O and U were the letters considered vowels in the English language.
Chamale wrote:
Using mmbossman's definition of a vowel, I propose the words
jth
kth
lth
mth
nth
Lol, those were good ones! I'll add them to the list.
DK64_MASTER wrote:
I found an exception to that rule. Try syllabification of the word "rhythm." The second syllable has no vowel.
I would just say rhythm as one syllable, not rhyth-m or rhy-thm.
In Czech, a sentence containing no vowels can be constructed. One such sentence is "Strč prst skrz krk" which means, stick your finger through the throat. I've heard that they have words with 7 or more consonants in a row.
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Here's one. Find an a bijective map from the real numbers to a subset of the real numbers that has no interior points.
Or: Show that any polygon can be subdivided into a number of parts that can be rearranged to form a circle.
Or: Can a nonempty region of physical space be shaped like a two-sided polygon?
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Hmm... wtf? By Ms. Lynx' hymns 'n my shy nymphs, why Y's 'n W's, sly gypsy spy? (Ok, that's the longest I can think of for now :P)
I didn't find "cwm" in my dictionary, but it seems to be a word in Welsh. Perhaps you were thinking about "cwt.", which is an unit of mass equal to 50.80234544 kilograms.
A paragraph is an element of written text and therefore contains letters. A vowel then means one of the letters A, E, I, O or U in the English alphabet and not any other letter. The letters don't correspond directly to individual phonemes anyway.
Since a paragraph consists of an unlimited number of sentences, there is no theoretical limit on how long such a paragraph could be as long as a sentence can be constructed.
Here are some words that do not contain vowels:
brr
brrr
by
cry
crypt
crwth
cyst
cwm
dry
fly
flyby
fry
glyn
glyph
gym
gyp
gypsy
gypsyfy
gypsyry
hm
hmm
hmmm
hy
hymn
jth
kth
lth
lymph
lynch
lynx
mth
my
myrrh
myth
'n
nth
nymph
nymphly
pht
pry
pst
pwn
pygmy
pyx
rhythm
rhythmy
scry
shh
sky
sly
shy
spry
spy
sty
sylph
symphysy
syzygy
thy
thymy
try
tryst
tsk
tsktsk
twyndyllyng
why
wry
wynd
wyrd
zzz
Some common abbreviations:
BBC (British Broadcasting Service)
BBS (Bulletin Board System)
BC (British Columbia or Before year 1)
BCL (Bachelor of Civil Law)
BD (Bachelor of Divinity)
b. (Born)
bd (Birthday)
BFBS (British and Foreign Bible Society)
BM (Black Mage)
Bp (Bishop)
Bt. (Baronet)
cL (Centilitre)
cm (Centimetre)
CNN (Cable News Network)
CS (Computer Science or Counter Strike)
CSCS (Civil Service Cooperative Stores)
CSM (Company Sergeant Major)
CTC (Cyclists' Touring Club)
cwt. (Centiweight.
DC (Direct Current or Dreamcast)
DCL (Doctor of Civil Law)
DCM (Distinguished Conduct Medal)
d. (Dead, day)
DL (Dcotor of Law)
DM (Deustche Mark)
dL (Decilitre)
dm (Decimetre)
Dr. (Doctor)
ff. (Fortissimo)
FGS (Fellow of the Geological Society)
FRCP (Fellow of the Royal College of Physicians)
FRCS (Fellow of the Royal College of Surgeons)
FRGS (Fellow of the Royal Geographical Society)
FRS (Fellow of the Royal Society)
FS (Fleet Surgeon)
FFS (For Fuck's Sake)
FZS (Fellow of the Zoological Society)
ft. (Foot)
g (Gram)
GB (Gameboy or Great Britain)
GC (Garbage Collection or Gamecube)
GF (Girlfriend)
GMT (Greenwich Mean Time)
gs. (Guineas)
HP (Health Points, Hit Points, House of Parliament or Hewlett Packard)
HTML (Hypertext Markup Language)
Jr. (Junior)
KKK (Ku Klux Klan)
kg (Kilogram)
km (Kilometre)
L (litre)
LTTP (Link To The Past)
MC (Motorcycle)
mg (Milligram)
mL (Millilitre)
MM (Mega Man or Majora's Mask)
mm (Millimetre)
MMX (Mega Man X or Multimedia Extension)
MP (Member of Parliament, Magic Points or Military Police)
Mt. (Mount)
μm (Micrometre)
nm (Nanometre)
NJ (New Jersey)
NY (New York)
NZ (New Zealand)
PC (Politically Correct or Personal Computer)
pd. (Paid)
PDC (Programme Delivery Control)
PDD (Pervasive Developmental Disorder)
PM (Post Meridiam or Private Message)
PN (Phone number)
PPP (Point to Point Protocol)
Mr. (Mister)
Mrs. (Mistress)
MS (Microsoft or Multiple Sclerosis)
Ms. (Miss)
N (North)
NW (Northwest)
Pt. (Pesetas)
QB (QuickBasic)
RM (Red Mage or Rockman)
RMF (Rockman & Forte)
RMS (Root Mean Square)
RSS (RDF Site Summary)
Ry (Railway)
S (South)
SM (Super Metroid, Sailor Moon, Self-mutilation or Sado-Masochism)
SMB (Super Mario Bros. or Server Message Block)
SMP (Simultaneous Multiprocessing)
sry (Sorry)
SS (Schützstaffel)
SW (Southwest)
W (West)
WDM (Windows Driver Model)
WMD (Weapon of Mass Destruction)
wth (What The Hell)
wtf (What The Fuck)
Xty (Christianity)
y. (Year)
yd. (Yard)
YKK (Yoshida Kogyo Kabushiki-gaisha)
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nfq wrote:
"just like moses lift up the snake in the desert, so must the son of man be uplifted." you know that the symbol of satan is a snake. and the bible says that when moses lift up the snake in the desert on a cross, it cured all people who looked at it... just like jesus.
the morning star (venus) is another symbol of satan, and in the revelation, john calls jesus the bright morning star...
You're on to something there, but you have to stop believing in Jesus. Jesus is the Christian concept of God, and you have sworn that you do not believe in the Christian concept of God. This is binding.
nfq wrote:
HHS wrote:
First you said that God was defined as a perfect being. Then you said that God was defined as the being that created everything. These two definitions are not the same.
no, but they don't conflict. god can be both perfect and a creator.
Yep, they can, but "God" has to be defined as either one, or the other, or both. Not in two different ways, first as one thing and then as another.
nfq wrote:
DK64_MASTER wrote:
Is God a strong magentic force?
god is so many things, some people even say he is everything. and he must be, because jesus said that he is life (everything).
But Jesus is the Christian god, which we don't believe in. So he can't have said that. And, if you say that God is everything, and also say that God is perfect, then everything must be perfect, which is false. Therefore, either God isn't everything, or isn't perfect.
Fabian wrote:
What if god was one of us?
THINK ABOUT IT
Thanks, but I'm afraid not :P
mmbossman wrote:
If I were God I'd get a bunch of slaves to do everything
Norwegian lesbians that feed me grapes and know how to sing
We have taken note of that, too. The Norwegian Department of Justice is aware of your poem and has alerted Interpol.
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nfq wrote:
the being didn't create this being we call existence; the non-being did.
It was your definition... I didn't say that it was meaningful, only that it was semantically valid.
in finnish there is no he or she.
So you're saying that you can call him he, but I can't because I'm Norwegian :D Well, I have to call him something, you know.
god has no enemies...
My Gods have several enemies. That means anyone who works against Them. For example, by starting false churches in Their names, or trying to destroy, vandalize or injure something They have created, or trying to harm Them personally. None of these things are permitted.
where is the conflict?
First you said that God was defined as a perfect being. Then you said that God was defined as the being that created everything. These two definitions are not the same.
AQwertyZ wrote:
Humans are absolutely notorious for finding meaning in mere coincidences. Humans often reason that a coincidence was too unlikely to have occurred without a causal agent, whether that be a god, a four leaf clover, etc.
Aw, sounds like you must be jealous of humans :P It's funny how you desperate you people are to discredit humans all the time.
mmbossman wrote:
I thought there was this one guy called Satan. You know God and Satan, Good and Evil, Right and Wrong...all that.
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Well, that is a valid definition. It unambigously defines the word "God" to mean the being that created everything, if there is such a being. However, usually the word is not defined in that way. Originally, it just means a supernatural being who rules over us.
you're not talking about the real god, you're talking about the christian god. the real god is not a "he".
Needless to say, my God might become upset with you for calling Him Christian and saying that He isn't real. Because I have prayed to Him, He have allowed me to recover from a painful disease in just one day, whereas for a Christian it has been more than a week and the Christian is still very sick. And people who have dedicated their life to insulting Him and His Demons, have had family members miraculously removed and become ill. They have also helped me to learn many new things I didn't know before and made me a better person.
god is often defined as a perfect being. how perfect would god be if his "imperfect" creations could make him sad?
Now you're calling him "him". What I said was that They might think that you are defending their enemies with the intent to make Them sad. But, no one can be held at fault for rightly becoming sad. Furthermore, you are using two conflicting definitions of "God".
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We don't discuss for the sake of dicussion. We discuss to win!
Since you don't believe in the Christian god, it would be unwise to defend him. The real God doesn't like traitors and He might become angry at you. To defend a god one doesn't believe in is a mockery against the true real Gods. They may think that you are doing it to make Them sad.
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then how will you know which christ is real and which is false?
Good point! But evidence suggests that they are all false, since only 4 people had heard of him, they can't find his hometown and his execution was not written down in court records.
if sound wasn't magnetic, it would have no reason to travel anywhere, because it wouldn't be attracted by anything.
Sound travels because of the electric field of the electrons pushing on the electrons in other atoms in a cascade. It could also be argued that matter might be composed of rotating electromagnetic structures, but it's still wrong to call it an electromagnetic wave, since with an electromagnetic wave we mean a wave that arises due to an electric field changing the space around it. One could decribe the electric field as something which starts to change at a rate equal to its curvature in an effort to relieve itself, and this action is what causes electromagnetic waves.
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Games are my favorite form of entertainment, even better than movies. And to tell you the truth, I don't like when games are pushed to their limits. Because it's basically saying that they're in fact really sucky and people take advantage of it.
Hahaha, you can't be serious?
Come on, I know you must have laughed at the zipping in Mega Man, my crazy shortcut in Duck Tales, and I don't even know how to describe what happened to Sonic & Knuckles+Sonic 3. You are clearly a troll.
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Lol, SMB3 with Finnish lyrics? I am afraid that this is a chant or mantra that will make me have bad luck and disease if I hear it :P Let's hope not.
The SMB2 song sounds a bit broken because of the tremolo effects.
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The power of the stars is restored to the castle... right? Aren't they Mario? Don't tell me you misplaced them again, you useless bastard! You can forget about that cake!
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Many levels were a bit boring but it had its funny highlights. For example - World 7 music in Toad's room, running underwater, entering a room in the middle of a pipe, door being displaced below ground level, a broken ivy, climbing with a shell in Baron von Münchausen style, level music continuing after you beat it, going through a pipe the wrong way. I think you could have done more with pipies.
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I just noticed that I stated the same thing in my proof twice. The first "Therefore" and the sentence before it just prove the same thing that I started with. This may have been confusing.
And, well, I don't think allusions are accepted in mathematical proofs :P
Randil wrote:
You convince yourself of this if you look at the number of factors in the nominator and the denominator - If the nominator has more consecutive factors than the denominator (in this case one more), then it has to include a multiple of each and every one of the factors in the denominator, thus dividing it.
It seems that this (which you skip) is what one is supposed to prove. It isn't immediately obvious. It's easy to see that each factor is present in at least as many integers in that range as it is in the range 1 to k, but you must prove that these integers are distinct from the ones containing multiples of those factors.
I think my proof works, if we insert this in place of the first "Therefore" but keep the previous sentence: Therefore, in addition to all the integers in the range n to n+k-1 that can be divided by multiples of l, there is at least one other such integer that can be divided by l.
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I knew about the AND trick... It's sort of obvious when you think about it. But you only wrote that it was an integer, not that it was represented in a binary form on a computer which is important.
The sum of k consecutive integers starting from n can be expressed as the sum of n+i with i ranging from 0 to k-1, and equivalently as the sum of k-1+n-i with i ranging from 0 to k-1. By averaging, we get the constant (k-1)/2+n. The sum is therefore equal to k((k-1)/2+n) which is divisible by k when k is odd.
Let me try the product problem. For any integer l between 1 and k, the number of integers between 1 and k that are divisible by l is equal to floor(k/l), while the number of integers in the range n to n+k-1 that are divisible by l is equal to floor((n+k-1)/l)-floor((n-1)/l), which is greater than or equal to floor(k/l). If l is divisible by a number m, then all integers that are divisible by l are also divisible by m, but the number of integers divisible by m is greater than the total number of integers in the range n to n+k-1 that are divisible by any number that is divisible by m (excluding m itself). Therefore, the number of integers between n and n+k-1 that are divisible by l is always greater than or equal to the number of integers between 1 and k that are divisible by l. Therefore, the product is divisible by the product of any integers between 1 and k that are divisible by l. Then, it is also divisible by the product of this and any other integer that the product of the consecutive integers is divisible by, and which is coprime to the aforementioned product of the integers less than or equal to k that are divisible by l. This proves that the product is divisible by k!.
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You still haven't said which God you believe in or which religion. If I asked any real God if he knew you and if he had told you to write these things, I have a feeling that the answer would be negative.