Notes

This novella is definitely my favorite piece of work by Ursula LeGuin. The themes regarding war, imperialism and violence are connected to alien contact because of the complex setting LeGuin has constructed. The story is less "science fiction" than speculative fiction, despite its use of science-based tropes to explain how things function. Because the setting posits a planet that has to be colonized due to Earth's being made uninhabitable, the worldview of the Terrans (the ones seeking to colonize Athshe) is that they have dominion over the solar system. The Terrans' ability to navigate space travel as a way of colonizing other planets suggests complex intelligence and impressive achievement; but the price has been the ruination of their home planet. The technological sophistication needed for space travel and alien contact seems to be at odds with the rather savage behavior of the Terrans towards the denizens of Athshe. Also, with these technological achievements com...

Through the years, Hollywood has trumpeted the military acumen of the ancient Spartan people, but the city-state also enjoyed tremendous cultural advancement. The Spartans built a very well organized culture which combined elements of democracy, oligarchy, and monarchy. They were strong architects and builders as seen in their remarkable temples, government buildings, and monuments. While the Athenians are generally regarded as artists, the Spartans were known to be gifted in the musical arts including dancing. Their sculpting ability was the envy of the ancient world, particularly their work with bronze. The Spartans are also on the historical record as being respected poets and the oldest love poem in the world is believed to be one written by a Spartan. The Spartans also created a very unique social structure that granted women a great deal of responsibility and respect.

`sum_(n=1)^oo n/sqrt(n^2+1)` To verify if the series diverges, apply the nth-Term Test for Divergence. It states that if the limit of  `a_n` is not zero, or does not exist, then the sum diverges. `lim_(n->oo) a_n!=0`     or    `lim_(n->oo) a_n =DNE` `:.` `sum` `a_n`  diverges Applying this, the limit of the term of the series as n approaches infinity is: `lim_(n->oo) a_n` `=lim_(n->oo) n/sqrt(n^2+1)` `=lim_(n->oo) n/sqrt(n^2(1+1/n^2))` `=lim_(n->oo) n/(nsqrt(1+1/n^2))` `=lim_(n->oo) 1/sqrt(1+1/n^2)` `=(lim_(n->oo)1)/(lim_(n->oo)sqrt(1+1/n^2))` `=1/sqrt(0+1)` `=1` The limit of the series is not zero. Therefore, by the nth-Term Test forDivergence, the series diverges.

The term prosody refers to the elements of speech that can be heard and are other than words or phonemes. We define prosody as the "musical attributes of speech" that can be heard as "melody ..., rhythm, dynamics, tempo, and pausing" ( "Part Two: Notes on Prosody," King's College London). Such musical elements are used to express emotions , just as laughter and pauses express emotions; therefore prosody is essential in interpreting discourse; it can even be said that conversations do not truly exist without prosody. As laid out by King's College London's "Notes on Prosody," there are 7 different prosody features used in interpreting discourse: 1. Intonation, which refers to the variation in pitches, meaning the changes in notes, in syllables as words are spoken. 2. Variations in loudness, which are created by raising or lowering voices. 3. Variations in stress, which refers to the changes in emphasis of syllables in words, phrases,...

Direct comparison test is applicable when `suma_n` and `sumb_n` are both positive series for all n such that `a_n<=b_n` If `sumb_n` converges , then `suma_n` converges If `suma_n` diverges , then `sumb_n` diverges. Given series is `sum_(n=1)^oo1/(4root(3)(n)-1)` Let `b_n=1/(4root(3)(n)-1)` and `a_n=1/(4root(3)(n))=1/4(1/n^(1/3))` `1/(4root(3)(n)-1)>1/(4root(3)(n))>0`  for `n>=1` The series `sum_(n=1)^oo1/4(1/n^(1/3))` is a p-series with p=`1/3<1` The p-series `sum_(n=1)^oo1/n^p` converges if `p>1` and diverges if `0<p<=1` Since the series diverges `sum_(n=1)^oo1/(4root(3)(n))` as per the p-series test and so the series `sum_(n=1)^oo1/(4root(3)(n)-1)` as well , diverges by the direct comparison test.

Yes, it is appropriate for society to question its government. In fact, we should go further. Not only can citizens question their government, they should , and they must . The most obvious time when citizens should question their government is when they think the government is doing something that is both ethically wrong and important. Staging a major protest against a minor government action (say, setting a speed limit fivr miles too high) is probably a waste of time and ethical authority. On the other hand, when your government does something major that is very wrong, citizens must question and challenge their government. The easiest example of this from American history is the abolitionist movement. Slavery was legal. It was protected by law and tradition. Those who sympathized with slaves protested slavery, and those who were slaves, or had been slaves, challenged the government. Those who thought slavery was ethically wrong challenged the US government and ultimately succeeded i...

Let's divide (`x^2-9` ) by (x+3) This can be divided by many methods, 1) Lets first divide it by factorizing the polynomial (`x^2-9` ), We know that `a^2-b^2=(a+b)(a-b)` So `x^2-9=x^2-3^2=(x+3)(x-3)` Now,`(x^2-9)/(x+3)=((x+3)(x-3))/(x+3)` `=x-3` And if you want to divide (`x^2-9` ) by (x-3), `(x^2-9)/(x-3)=((x+3)(x-3))/(x-3)` `=(x+3)` 2) We can divide the polynomial by using the long division method:              x - 3       ________ x+3|`x^2-9`        `x^2+3x`       ________               `-3x-9`                `-3x-9`               __________                     0                __________  So, (`x^2-9` ) divided by (x+3) yields (x-3) and (`x^2-9` ) divided by (x-3) yields (x+3)