English nouns, determiners, countability, specificity

When English speakers use a noun word, they indicate its specificity with a combination/selection of forms, inflections, determiners–forms being the syntax pattern it follows, uncountable or countable one, and specificity being:

generic <> non‑generic (unidentified) <> non‑generic (identified) <=> Proper

Note that forms may be one of subtle differences in meaning or entirely different ones, for example, good part of text‑related words such as letter, note, or text itself. Also note that non‑generic (identified) and Proper sense is not so much apart as can be seen in the example of, the sun, Mother, Central Park.

Mathematic means open to learning (a week of serendipity)

(From a Podcast) Yesterday, I find out what an awesome service to humanity Spotify.com become by hearing the interview of the founder on Freakonomics Radio, and become an instant fun and avid user. (From a promotional email) Then, today through a couple of promotional mail reached in my inbox from Mix.com, I found an article about Bill Gates, and in that article, I get to know the Big History Project, and become an instant follower and learner there. P.S. This week I found out what Micro$ost wanted with Sharepoint as well.

Worm moon

春分 starts today, and 啓蟄 is over yesterday. I just learn on Grammar Girl podcast that today's full moon is called worm moon. As 啓蟄 means the time of year when worms start their activities after winter, it is referring to same aspect of nature.

Using the clock face to know if a number is divisible by four

It's relatively easy to reckon whether a number is divisible by four if it's less than 50.
It becomes difficult when it's greater than 50, though you can use a trick of subtracting 50 from the number and see if the difference is divisible by four or not; if it is the original number is not a multiple of four.
The easier way I found is to use the clock face. Using the hour mark for numbers, those divisible by four are located at 12, 4, and 8 o'clock. If you are familiar with the clock face you instantly know 16 or 20 is a multiple of four since it positions at one of those hour marks.
Next. There's a connection between hourly marks, 12 hours around the clock and minute marks, 60 minutes around the clock. Notice the 15 minute mark, 30-minute mark, and so on coincide with 15-hour mark, 30-hour mark respectively. This fact and the fact that those divisible by four are located at particular positions on the clock face help you figure out if a number is a multiple of four.
Take, for example, number 92. Since the 90‑hour mark is at 6 o'clock position, 92 is located at 8 o'clock position, so it's easy to see it's divisible by four.

Legible vs. Readable

I found a good example:

MNEMONIC vs. Mnemonic or mnemonic

Signed up Cambridge Dictionary with my gmail account today. They have extensive marking and notes on uncountable/countable distinctions on noun senses ,and have good grammar section excerpt from the book English Grammar Today. 

You can create content using the Content Manager Explorer, a browser-based interface that you can use to access, create, edit, and publish content. 

An appositional example with infinite and finite articles.

Ever since I started working, I always had a sense that working in company setting is not for me.
I also felt Japanese is not my kind of language, too much to do with graphical aspect of the language at the expense of phonetic elements. But then I was not proficient in any other language other than Japanese. Has it changed now that I got proficiency in English at some level, and I can prose what I have in my mind in English fairly quickly as I'm doing right now?
Being able to write proficiently in one language still is different from using the language for thinking. You must be able to read what you've written, make correction to it, develop from there to the next iteration. In that view, I don't think I can read what I write effective enough to take advantage of it.
But as I was doing this experiment on Firefox and then on Chrome, copying by hand reading on Firefox and writing on Chrome, I incorporated several changes, and that's easy to do for me. Maybe this way I can develop what I have in my mind to take shape progressively.

Transposing instrument - Wikipedia

Transposing instrument - Wikipedia: Instruments whose music is typically notated in this way

The Definition and Purpose of the Zero Article

The Definition and Purpose of the Zero Article: count nouns are sometimes used without an article, especially when they are referred to generically. The same is true when the noun is plural but of indefinite number.

Lecture 22 - Chapter 2: Symmetric Monoidal Preorders - Azimuth Forum

Lecture 22 - Chapter 2: Symmetric Monoidal Preorders - Azimuth Forum: "will be"



↑ They ‘hear’ words rather than read them.

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Lecture 21 - Chapter 2: Monoidal Preorders - Azimuth Forum

Lecture 21 - Chapter 2: Monoidal Preorders - Azimuth Forum: "use ⊗ so I'll often use that. We pronounce this symbol "tensor"."



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SpaceWeather.com -- News and information about meteor showers, solar flares, auroras, and near-Earth asteroids

SpaceWeather.com -- News and information about meteor showers, solar flares, auroras, and near-Earth asteroids: "We've already had one Blue Moon in January 2018, a month bookended by full Moons on the 2nd (02:24 UTC) and 31st (13:27 UTC). It's happening again in March, with full Moons on the 2nd (00:51 UTC) and 31st (12:37 UTC). The last time two Blue Moons occurred in such quick succession was January and March of 1999."

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Slacks of 24 hours at the beginning of the month and  ~12 hours around the end.

Immersion (mathematics) - Wikipedia

Immersion (mathematics) - Wikipedia: "For example, the Möbius strip has non-trivial tangent bundle, so it cannot immerse in codimension 0 (in R2), though it embeds in codimension 1 (in R3).

"



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Orientability - Wikipedia

Orientability - Wikipedia: " a loop going around one way on the surface can never be continuously deformed (without overlapping itself) to a loop going around the opposite way."



 that is homeomorphic to the Möbius strip. Thus, for surfaces, the Möbius strip may be considered the source of all non-orientability.

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Topological group - Wikipedia

Topological group - Wikipedia: "The groups mentioned so far are all Lie groups, meaning that they are smooth manifolds in such a way that the group operations are smooth, not just continuous."



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An Approach to Greek Lettering

by Michael A. Covington



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Greek alphabet names in greek

barbershop is µπαρµπερικo ´ = barberiko



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[PDF] Schuller's Geometric Anatomy of Theoretical Physics, Lectures 1-17 - Free Download PDF

[PDF] Schuller's Geometric Anatomy of Theoretical Physics, Lectures 1-17 - Free Download PDF:

 {b} is neither open nor closed

Example 5.7. The interval [0, 1] is compact in (R, Ostd). The one-element set containing (−1, 2) is a cover of [0, 1], but it is also a finite subcover and hence [0, 1] is compact from the definition.

It is clear that removing even one element from C will cause C to fail to be an open cover of R. Therefore, there is no finite subcover of C and hence, R is not compact.

Example

4.6

.

Let

M

=

{

a,b,c

}

and let

O

=

{

∅

,

{

a

}

,

{

a,b

}

,

{

a,b,c

}}

. Then

{

a

}

is open

but not closed,

{

b,c

}

is closed but not open, and

{

b

}

is neither open nor close

Example

4.6

.

Let

M

=

{

a,b,c

}

and let

O

=

{

∅

,

{

a

}

,

{

a,b

}

,

{

a,b,c

}}

. Then

{

a

}

is open

but not closed,

{

b,c

}

is closed but not open, and

{

b

}

is neither open nor close

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Incidence geometry - Wikipedia

Incidence geometry - Wikipedia: "Every triple of distinct points is incident with precisely one cycle.
For any flag (P, z) and any point Q not incident with z there is a unique cycle z∗ with P I z∗, Q I z∗ and z ∩ z∗ = {P}. (The cycles are said to touch at P.)
Every cycle has at least three points and there exists at least one cycle."



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