Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ π -¹ ² ³ °

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

**AEIOU**

abstemious

abstentious

arsenious

caesious

facetious

**AEIUO**

**AEOIU**

archegonium

pandemonium

praseodymium

**AEOUI**

warehousing

**AEUIO**

**AEUOI**

aneuploid

**AIEOU**

ambidextrous

gramineous

**AIEUO**

antineutron

**AIOEU**

**AIOUE**

amphioxuses

anxiousness

cariousness

factiousness

fractiousness

gladioluses

graciousness

jailhouse

scabiouses

spaciousness

variousness

**AIUEO**

**AIUOE**

**AOEIU**

androecium

apothecium

**AOEUI**

manoeuvring

**AOIEU**

**AOIUE**

**AOUEI**

**AOUIE**

acouchies

agouties

armouries

favourite

glamourize

jalousie

langoustine

macronutrient

malnourished

savouries

tambourine

**AUEIO**

**AUEOI**

**AUIEO**

**AUIOE**

agglutinogen

auctioned

audiometry

audiphone

cauliflower

cautioned

hallucinogen

malfunctioned

sanguinolent

**AUOEI**

autogenics

tautomerism

**AUOIE**

authorize

autotimer

glauconite

staurolite

NB: All words are in (or grammatically derivable from headword entries in) *Collins English Dictionary*.

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

**EAIOU**

behaviour

edacious

gelatinous

gregarious

mendacious

nefarious

precarious

predacious

tenacious

veracious

vexatious

**EAIUO**

**EAOIU**

crematorium

seaborgium

**EAOUI**

belabouring

readjourning

**EAUIO**

exhaustion

precaution

recaution

**EAUOI**

reaccustoming

**EIAOU**

epignathous

**EIAUO**

**EIOAU**

plesiosaur

**EIOUA**

**EIUAO**

**EIUOA**

**EOAIU**

endocardium

leprosarium

**EOAUI**

menopausic

**EOIAU**

**EOIUA**

**EOUAI**

deflocculating

demodulating

depopulating

encouraging

expostulating

reformulating

remodulating

repopulating

**EOUIA**

ketonuria

**EUAIO**

crenulation

degustation

denudation

deputation

despumation

detruncation

education

emulation

encrustation

equation

eructation

exculpation

exhumation

expurgation

exudation

exultation

menstruation

mensuration

mercuration

peculation

permutation

persuasion

perturbation

refutation

regulation

reputation

speculation

sternutation

**EUAOI**

eukaryotic

pneumatolysis

pseudarthrosis

rheumatoid

**EUIAO**

elucidator

elutriator

enunciator

repudiator

**EUIOA**

delusional

equivocal

exclusionary

revulsionary

**EUOAI**

deutoplasmic

edulcorating

euchromatin

leucoplastid

neuropathic

pseudoclassic

**EUOIA**

eulogia

euphonically

euphorbia

euphoria

euphoriant

neuroglia

neuropsychiatry

neurotically

pleurodynia

pneumonia

pseudomythical

sequoia

NB: All words are in (or grammatically derivable from headword entries in) *Collins English Dictionary*.

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

**IAEOU**

dichlamydeous

filamentous

intravenous

ligamentous

micaceous

**IAEUO**

**IAOEU**

**IAOUE**

chivalrousness

dialogue

disfavoured

(gigajoule)

miaoued

**IAUEO**

**IAUOE**

**IEAOU**

bicephalous

disepalous

pithecanthropus

**IEAUO**

**IEOAU**

**IEOUA**

**IEUAO**

**IEUOA**

**IOAEU**

**IOAUE**

ignoramuses

**IOEAU**

**IOEUA**

bimolecular

incommensurably

trimolecular

**IOUAE**

bivouacked

discourage

importunate

inoculate

inosculate

**IOUEA**

**IUAEO**

**IUAOE**

**IUEAO**

**IUEOA**

**IUOAE**

insupportable

**IUOEA**

NB: All words (except *gigajoule*) are in (or grammatically derivable from headword entries in) *Collins English Dictionary*. (I added *gigajoule* because I think its a nice one. )

*Last edited by JaneFairfax (2009-09-26 01:18:26)*

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

**OAEIU**

**OAEUI**

**OAIEU**

**OAIUE**

odalisque

portraiture

**OAUEI**

**OAUIE**

consanguine

**OEAIU**

overfanciful

**OEAUI**

overhauling

overslaughing

overvaluing

somersaulting

**OEIAU**

**OEIUA**

proventricular

**OEUAI**

coequality

conceptualism

molecularity

psychosexuality

**OEUIA**

**OIAEU**

**OIAUE**

**OIEAU**

**OIEUA**

**OIUAE**

continuable

continualness

continuance

contributable

scrobiculate

**OIUEA**

**OUAEI**

mouthwatering

**OUAIE**

boundaries

commutative

conjugative

consultative

contumacies

copulative

formularize

fountained

gourmandise

grossularite

journalize

modulative

mortuaries

ossuaries

outlandishness

outlawries

outpatient

popularize

tourmaline

voluntaries

**OUEAI**

counteracting

counterchanging

countercharging

counterclaim

countermanding

countermarching

countershading

counterstain

countervail

documentarily

housemaid

mountebanking

outeating

outleaping

outreaching

outspeaking

outspreading

outwearing

**OUEIA**

**OUIAE**

communicate

conduplicate

conglutinate

conjunctivae

outdistance

outrivalled

**OUIEA**

NB: All words are in (or grammatically derivable from headword entries in) *Collins English Dictionary*.

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

**UAEIO**

quaternion

**UAEOI**

quaestorship

quatrefoil

**UAIEO**

**UAIOE**

glutathione

quadripole

ultraviolet

**UAOEI**

ultramodernism

**UAOIE**

guanosine

unaccomplished

**UEAIO**

cupellation

numeration

putrefaction

rubefaction

ulceration

**UEAOI**

unreasoning

**UEIAO**

**UEIOA**

questionably

unmentionably

**UEOAI**

nucleoplasmic

undemocratic

undercoating

**UEOIA**

nucleonically

unmethodical

unrecognizably

**UIAEO**

**UIAOE**

undiagnosed

**UIEAO**

quindecagon

**UIEOA**

businesswoman

unipersonal

**UIOAE**

**UIOEA**

**UOAEI**

surrogateship

**UOAIE**

buoyancies

customaries

fluvoxamine

plutocracies

unconstrained

uncontradicted

unobtained

unordained

unorganized

unpolarized

**UOEAI**

suboceanic

subpoenaing

**UOEIA**

duodecimal

uncommercial

uncongenial

urogenital

**UOIAE**

fluoridate

fluorinate

subordinate

uncomplicated

unprofitable

unsociable

**UOIEA**

subcontinental

uncomplimentary

unnoticeably

*Collins English Dictionary*.

*Last edited by JaneFairfax (2009-06-02 23:12:43)*

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**mikau****Member**- Registered: 2005-08-22
- Posts: 1,504

wow!!! who would have thought there were so many?

Now lets see.. how many numbers contain all the digits 0-9?

Just kidding!

A logarithm is just a misspelled algorithm.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

That is amazing.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**ganesh****Moderator**- Registered: 2005-06-28
- Posts: 14,410

Mikau, the answer to your question is 9!x9. Thats my guess.

Character is who you are when no one is looking.

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**Stanley_Marsh****Member**- Registered: 2006-12-13
- Posts: 345

I think it's infinite.

Numbers are the essence of the Universe

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**mikau****Member**- Registered: 2005-08-22
- Posts: 1,504

ganesh wrote:

Mikau, the answer to your question is 9!x9. Thats my guess.

lol. I'm not sure if you're not getting me or if i'm not getting you but anyway, I was kidding becuase there is an infinite set of numbers that contain all nine digits.

like the set of integers + .0123456789

A logarithm is just a misspelled algorithm.

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

But Jane's example contains each vowel only once, so it is interesting question with each digit only once.

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**mikau****Member**- Registered: 2005-08-22
- Posts: 1,504

OOooh. Hehe! I accidently came up with something.

Hmm... wouldn't that just be every permutation of the digits 0-9 multiplied by as many places you can put the decimal? Maybe thats where ganesh came up with 9!x9. hehe!

A logarithm is just a misspelled algorithm.

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Ganesh was calculating the total number of 10-digit integers which use each of the digits 09 exactly once i.e. the total number of permutations of 09 without the 0 coming first. Thats 10! − 9! = 10×9! − 9! = 9!×(10 − 1) = 9!×9.

*Last edited by JaneFairfax (2007-05-20 06:07:14)*

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**mikau****Member**- Registered: 2005-08-22
- Posts: 1,504

hmm...

so what if we consider that you can put a decimal place either before the first digit, or after the last digit.

the only time it would be ok to start with 0 would be if 0 came right before the decimal point, as in 0.123456789 or imediatly after, as in .0123456789

A logarithm is just a misspelled algorithm.

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

A word on the words above. They are all from *Collins English Dictionary* (either listed as entry words or grammatical derivations from entry words therein). There are plenty of other omnivocalic words not listed in the dictionary I use, such as

**gastrocnemius** (a muscle in the leg)

(This word was mentioned in one of the semifinals in the previous series of University Challenge.) I have also left out proper nouns such as

**Mozambique**

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**John E. Franklin****Member**- Registered: 2005-08-29
- Posts: 3,562

M**ou**nt**ai**n D**e**w

**igloo** **myrtilles** **fourmis**

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**JaneFairfax****Member**- Registered: 2007-02-23
- Posts: 6,868

Thanks to last nights University Challenge, I have found a new word for UOAIE: **unsportsmanlike**.

The programme also mentions the word unimportance for UIOAE. Unfortunately, this word is not in my *Collins English Dictionary*. (Unimportant is in there but not the noun.)

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**MathsIsFun****Administrator**- Registered: 2005-01-21
- Posts: 7,535

But what a curious compliment it would make: "Truly your unimportance has been exaggerated!"

"The physicists defer only to mathematicians, and the mathematicians defer only to God ..." - Leon M. Lederman

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**Sylvia104****Member**- Registered: 2011-09-19
- Posts: 26

JaneFairfax wrote:

IAEOU

dichlamydeous

filamentous

intravenous

ligamentous

micaceous

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**anonimnystefy****Real Member**- From: The Foundation
- Registered: 2011-05-23
- Posts: 15,522

JaneFairfax wrote:

Thanks to last nights University Challenge, I have found a new word for UOAIE:

unsportsmanlike. http://i41.photobucket.com/albums/e271/ … eering.gifThe programme also mentions the word unimportance for UIOAE. Unfortunately, this word is not in my

Collins English Dictionary. (Unimportant is in there but not the noun.)

Isn't unimportance a grammatical derivative of the word unimportant?

Here lies the reader who will never open this book. He is forever dead.

Taking a new step, uttering a new word, is what people fear most. ― Fyodor Dostoyevsky, Crime and Punishment

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

Hi;

There is also

intravenously

limaceous

vitaceous

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**Sylvia104****Member**- Registered: 2011-09-19
- Posts: 26

JaneFairfax wrote:

AEOIU

archegonium

pandemonium

praseodymium

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**phrontister****Real Member**- From: The Land of Tomorrow
- Registered: 2009-07-12
- Posts: 3,847

Hi stefy,

According to the Collins Scrabble Checker, the noun "unimportance" is a valid word allowed in Scrabble play.

"The good news about computers is that they do what you tell them to do. The bad news is that they do what you tell them to do." - Ted Nelson

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 86,366

AOIUE

appropinque

IEOUA

dibenzofuran

dibenzofurans

intercolumnar

intercommunal

interlobular

interocular

interosculant

UEOIA

questorial

superdominant

superdominants

superordinal

superordinary

supersonically

suspensoria

suspensorial

unheroical

unheroically

unrecognisably

unreconcilably

unrhetorical

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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