Search found 102 matches

by yeyui
Tue Jun 07, 2011 5:30 pm UTC
Forum: Mathematics
Topic: Proof that there are at least 5 regular polyhedra?
Replies: 11
Views: 3206

Re: Proof that there are at least 5 regular polyhedra?

Generally, we are not interested in non-constructive existence proofs when constructive ones are available. Counterexamples to this maxim are usually situations where a single general existence proof covers a large number of objects requiring many different constructions. In this case it really only...
by yeyui
Wed Jan 12, 2011 5:27 pm UTC
Forum: Mathematics
Topic: Example of a student learning*
Replies: 15
Views: 2418

Re: Example of a student learning*

For the record, I specifically instructed them not to simplify at all. The item was testing student knowledge of the definition of trigonometric ratios in the context of right triangles. In addition to making grading easier, this reduced the number of factors affecting the score for the item.
by yeyui
Thu Jan 06, 2011 10:20 pm UTC
Forum: Mathematics
Topic: Four even spaced points on a sphere?
Replies: 11
Views: 3704

Re: Four even spaced points on a sphere?

One can also use basic right triangle trigonometry without resorting to "fancy linear algebra". Consider regular tetrahedron ABCD , with center at point O . Let M be the midpoint of the segment AB . Since AO=BO , \angle AOM is congruent to \angle MOB, and OM is perpendicular to AB . It is ...
by yeyui
Thu Jan 06, 2011 8:46 pm UTC
Forum: Mathematics
Topic: Example of a student learning*
Replies: 15
Views: 2418

Example of a student learning*

On a recent exam, I asked a question with the answer \frac{\sqrt{3}+1}{\sqrt{3}-1}. Several students, including some with otherwise correct answers, made the mistake of either writing \sqrt{3+1} and \sqrt{3-1} or, very ambiguously, \sqrt{3+}1 and \sqrt{3-}1 . On the papers that exhibited this error,...
by yeyui
Wed Jan 05, 2011 5:54 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0843: "Misconceptions"
Replies: 186
Views: 42108

Re: 843: "Misconceptions"

First Tuesday in Febuary: The earliest day for primaries in the 2012 election. Thats all I could find. My guess is that is a a date far enough in the future that we have time to make this a reality beginning this year. I say we do this in all grade 6+. Set aside this day in your lesson planning to f...
by yeyui
Tue Jan 04, 2011 5:01 pm UTC
Forum: Language/Linguistics
Topic: "Since then, and up to date"
Replies: 12
Views: 5284

Re: "Since then, and up to date"

This construction seems wrong to me. First, "up-to-date" or "up to date" is generally used as an adjective, not a preposition. Example: "This list of examples is up-to-date." The related prepositional phrase is "to date". Example: "To date only forty-thre...
by yeyui
Mon Jan 03, 2011 9:09 pm UTC
Forum: Mathematics
Topic: ln(x) or log(x)?
Replies: 63
Views: 9363

Re: ln(x) or log(x)?

It doesn't really matter with ln/log, but with degrees/radians, it is often better to use degrees in non-math-related contexts because they're better for actually measuring, which is KIND OF important for applying our math to real world situations. It's "nice" in that context to have a fu...
by yeyui
Mon Jan 03, 2011 8:50 pm UTC
Forum: Mathematics
Topic: A little conundrum with infinity
Replies: 9
Views: 1687

Re: A little conundrum with infinity

Ah! Buffon! Excellent. Lets make the inital velocity fixed so that the length of the balls path is fixed. Now we are considering a random segment in the plane. (A0gain, we need to have a probability distribution for that to be meaningful.) Now to be really interesting, lets change the question to: w...
by yeyui
Tue Dec 07, 2010 8:52 pm UTC
Forum: Language/Linguistics
Topic: Do you use the term "Ginger"?
Replies: 65
Views: 20569

Re: Do you use the term "Ginger"?

Thanks to the Doctor and South Park, I am quite familiar with the term, and I have heard people use it. However, I haven't heard an Americans using it as their usual term. Apart from the connotations is has from elsewhere, I like the sound of it. It does bother me a little though, since ginger root ...
by yeyui
Wed Nov 17, 2010 7:47 pm UTC
Forum: Mathematics
Topic: Tips for how to study undergrad math the right way?
Replies: 32
Views: 3949

Re: Tips for how to study undergrad math the right way?

What a nice discussion I've started! My comment was meant as a purely pragmatic suggestion. My experience talking with graduate students and faculty from various schools is that every PhD program (and most MA only programs as well, although I have less info on them) either REQUIRE students to study ...
by yeyui
Tue Nov 16, 2010 8:38 pm UTC
Forum: Mathematics
Topic: Tips for how to study undergrad math the right way?
Replies: 32
Views: 3949

Re: Tips for how to study undergrad math the right way?

On a related topic, if you are planning to do graduate work in mathematics, then your choice of courses is probably just as important as your performance in your math classes. (If not for admission, then certainly for being successful once you get in!) Some of theses are probably required for a majo...
by yeyui
Tue Nov 16, 2010 5:51 pm UTC
Forum: Mathematics
Topic: Tips for how to study undergrad math the right way?
Replies: 32
Views: 3949

Re: Tips for how to study undergrad math the right way?

Learn how to read a math. This is not intended to sound demeaning or condescending. Reading mathematics is very different from reading literature or anthropology or chemistry. It is dense . My casual reading speed is probably around 400-450wpm. Thats how I read novels, news articles, &c. That tr...
by yeyui
Tue Nov 16, 2010 4:29 pm UTC
Forum: Language/Linguistics
Topic: The Ampersand Appreciation Society
Replies: 47
Views: 8817

Re: The Ampersand Appreciation Society

Sadly, I never developed a handwritten ampersand. However, I have been making an effort to abreviate et cetera as &c in my everyday typing. I find it pleasingly appropriate and it prevents me from making the the irritating mistake of "ect". In my experience, Americans are for more like...
by yeyui
Tue Nov 02, 2010 8:23 pm UTC
Forum: Language/Linguistics
Topic: Words which are different depending on the profession
Replies: 16
Views: 2904

Re: Words which are different depending on the profession

Yeah, words used in a profession often have different meanings. Sometimes even in the same profession. "Normal" has probably dozens of technical meanings in mathematics. They all mean very different things. The "linear functions" (degree one polynomial, graph is a line) one studi...
by yeyui
Tue Nov 02, 2010 7:54 pm UTC
Forum: Mathematics
Topic: Origami Equilateral Triangle
Replies: 5
Views: 2191

Re: Origami Equilateral Triangle

In case that previous comment wasn't clear: It IS possible to trisect angles with paper-folding. Paper-folding is a more powerful construction method than compass and straightedge. Any point that can be found with compass and straightedge can be found by paper-folding, but there are points that can ...
by yeyui
Tue Nov 02, 2010 6:49 pm UTC
Forum: Language/Linguistics
Topic: A regional use of prepositions
Replies: 16
Views: 3722

Re: A regional use of prepositions

I am confident that I am hearing "on the hallway". If it is evolved from "in the hallway", then it has diverged noticeably from other uses of in. It is still "in your mailbox" in "in the classroom". Eventually I'll ask somebody about it, but so far the most no...
by yeyui
Fri Oct 29, 2010 1:56 pm UTC
Forum: Language/Linguistics
Topic: A regional use of prepositions
Replies: 16
Views: 3722

Re: A regional use of prepositions

I'm in Kinston, NC. I don't believe I have heard any locals say "in the hallway" yet. Hm... I suppose people will say "get off (of) the hallway" here too, instead of "get out (of) the hallway". I don't think I've heard that yet. (Teachers usually just say "get to c...
by yeyui
Fri Oct 29, 2010 1:52 pm UTC
Forum: Language/Linguistics
Topic: "You want I should"
Replies: 35
Views: 23750

Re: "You want I should"

Of course I found other Yiddishisms, which were interesting even though they did not show up very much. For example the much-used and -loved “should,” as in “they want we should go on the march.” This is called the subjunctive case in Latin and Spanish, where it has a different conjugation. In Yidd...
by yeyui
Thu Oct 28, 2010 11:45 am UTC
Forum: Language/Linguistics
Topic: PetsMart and ClimbMax
Replies: 9
Views: 5088

Re: PetsMart and ClimbMax

AdvancED a school accreditation company. Although this one just annoys me.
by yeyui
Wed Oct 27, 2010 4:06 pm UTC
Forum: Language/Linguistics
Topic: A regional use of prepositions
Replies: 16
Views: 3722

Re: A regional use of prepositions

I guess it's safe to reveal that I am an "in" person, and that the locals here are one of the other two. Has anyone heard "on the hallway" or "at the hallway"? Also: good to hear from NC. That means that this odd language is not universal through the state. (I'm in Nort...
by yeyui
Tue Oct 26, 2010 8:47 pm UTC
Forum: Language/Linguistics
Topic: A regional use of prepositions
Replies: 16
Views: 3722

A regional use of prepositions

I have recently moved to a new town where I am teaching high school. I have noticed that faculty here seem to universally use a certain pronoun with "the hallway" which is different from the preposition I have always heard and used in the previous four communities (in two states) where I h...
by yeyui
Tue Oct 26, 2010 8:01 pm UTC
Forum: Language/Linguistics
Topic: Does this argument have a name?
Replies: 8
Views: 2679

Re: Does this argument have a name?

What they don't know won't hurt them.
by yeyui
Wed Oct 06, 2010 4:23 pm UTC
Forum: Mathematics
Topic: Sufficiently large values of 2 such that 2+2=5
Replies: 5
Views: 2954

Re: Sufficiently large values of 2 such that 2+2=5

The main error here is that " 2+2=5 " (meaning there are three points p,q,r so that d(p,q)=2, d(q,r)=2 , but d(p,r)=5 ) violates the Triangle Inequality. The Triangle Inequality is part of the definition of a metric. A Metric defines what distance means for a space....
by yeyui
Fri Feb 26, 2010 2:01 am UTC
Forum: Language/Linguistics
Topic: Think Before Naming Your Child
Replies: 1622
Views: 352419

Re: Think Before Naming Your Child

Re: Istari/Istari as a name

The English equivalent of Istar is, of course, "wizard". But Sophia is a perfectly good girls name with essentially the same meaning.

Or... Ishtar. Also a feminine name, although hardly less strange than Istar would be. Rather different meaning though.
by yeyui
Fri Feb 26, 2010 1:49 am UTC
Forum: Language/Linguistics
Topic: Words you think English should have or bring back.
Replies: 643
Views: 174838

Re: Words you think English should have or bring back.

::smirk:: Those are commonly called "commonly confused words"

Synophone is a French word meaning the same as our word synonym, but I have found it used in some English settings to mean something like what you intend. It seems to come up most often in language learning settings.
by yeyui
Sun Aug 09, 2009 2:21 am UTC
Forum: Mathematics
Topic: Magnets and polyhedra
Replies: 15
Views: 6378

Re: Magnets and polyhedra

I enjoy making tetrahedral complexes.

Also, I'm jealous of your toys. I just borrow an officemate's magnetix.
by yeyui
Sat Aug 08, 2009 6:11 pm UTC
Forum: Language/Linguistics
Topic: "off of"
Replies: 80
Views: 13346

Re: "off of"

Apparently the length of my previous post caused people to miss the point at the very beginning. The use of "off of" is the older form which is becoming obsolete and replaced by "off". If this theory is true, then "off of" is not a "American bastardization of Engli...
by yeyui
Sat Jul 18, 2009 9:25 pm UTC
Forum: News & Articles
Topic: Kindle Books Repossesed
Replies: 42
Views: 3744

Re: Kindle Books Repossesed

Right, but only if Barnes and Noble had printed their own, unauthorized, copies of the books and had burned them once they retrieved them.
by yeyui
Sat Jul 18, 2009 5:48 am UTC
Forum: Mathematics
Topic: Graphing X^X
Replies: 13
Views: 2331

Re: Graphing X^X

[math]x^x = e^{x\ln(x)}[/math]
But [imath]\ln(x)[/imath] is not well defined for [imath]x\leq0[/imath]. One can define exponentials in a complex analytic setting, but the is no unique choice of definition. You can look it up any intro. complex analysis text.
by yeyui
Sat Jul 18, 2009 5:32 am UTC
Forum: Language/Linguistics
Topic: The Line Between Improvement and Degradation
Replies: 47
Views: 5485

Re: The Line Between Improvement and Degradation

Yeah... I don't actually have examples. (I do think that there are cases where many people are not certain whether literally is being used literally or hyperbolically.)

And I meant large-scale as in large numbers of people involved, not as in large problems.
by yeyui
Fri Jul 17, 2009 8:42 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0611: "Disaster Voyeurism"
Replies: 105
Views: 29251

Re: "Disaster Voyeurism" Discussion

Whenever I see pictures of houses perched at the edge of steep receding ocean shore or along an obvious fault line, especially if it is a big expensive looking house, I always root for the house to loose the battle. Why shouldn't your house fall into the ocean? Your the idiot that decided he just ha...
by yeyui
Fri Jul 17, 2009 6:11 am UTC
Forum: School
Topic: What do other countries teach about The united states?
Replies: 78
Views: 9672

Re: What do other countries teach about The united states?

My schooling was in Ohio. Our history classes pretty much ignored Canada after the war of 1812 (although I barely remember learning anything about that). What bothered me was how little we learned about the UK. Sure, we learned about it during Exploration, Colonialism, the America Revolution, Indust...
by yeyui
Fri Jul 17, 2009 3:58 am UTC
Forum: General
Topic: xkcd-worthy life
Replies: 15
Views: 1736

Re: xkcd-worthy life

@krazykate Brilliant idea! I'll get right on learning Chinese. ::evil laugh:: Also, I'll need to buy a black pork pie hat.

Also, props on the cat thing!
by yeyui
Thu Jul 16, 2009 8:22 pm UTC
Forum: General
Topic: What type of hat does the black hat guy wear?
Replies: 25
Views: 5862

Re: What type of hat does the black hat guy wear?

Wow. Wearing a black, pork pie shaped TARDIS is the ultimate in both fashion and convenience.
by yeyui
Thu Jul 16, 2009 8:17 pm UTC
Forum: Individual XKCD Comic Threads
Topic: 0608: "Form"
Replies: 94
Views: 28608

Re: "Form" discussion

This reply intentionally devoid of meaning.
by yeyui
Mon Jul 13, 2009 5:55 am UTC
Forum: Individual XKCD Comic Threads
Topic: 0609: "Tab Explosion"
Replies: 176
Views: 56840

Re: "Tab Explosion" Discussion

I just lost this afternoon to TvTropes. Because of a link from an xkcd thread. Now Randall is mocking me for it...
by yeyui
Mon Jul 13, 2009 2:06 am UTC
Forum: General
Topic: What type of hat does the black hat guy wear?
Replies: 25
Views: 5862

Re: What type of hat does the black hat guy wear?

I actually clicked on that expecting a hat. Shame on me.
by yeyui
Mon Jul 13, 2009 2:01 am UTC
Forum: General
Topic: xkcd-worthy life
Replies: 15
Views: 1736

Re: xkcd-worthy life

How about calculating your "Google Dominance Quotient"? I did a search for my username and... GDQ = \frac{\# \hbox{ results about me}}{\#\hbox{ results}}=62\%. This is how I discovered that there is one other person, on the other side of the planet that has started using the same handle. T...

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