Notes

Christianity, Judaism and Islam are what we commonly call the "Abrahamic Religions."  The association with Abraham, and thus the biblical story of The Call of Abraham, influences all three of the above religions in terms of their beliefs about God and the origin of humanity.  In short, the very first tale of Abraham--found in the first of three sections of the Hebrew Bible, also known as the Torah--is essentially about God's creation of the paradigmatic human being. In an effort to see if Abraham would (unlike Adam and Eve) follow his will unconditionally, God tested Abraham with a series of difficult tasks, all of which Abraham completed without argument.  Abraham also heeded God's will when he was told to sacrifice his son, Isaac, to God. He prepared a ritualistic killing for the child and was stopped just before the actual killing when God intervened and told him that he needn't see anymore; he was pleased. Christianity, Islam and Judaism all refer to this stor...

Amphibians have a three-chambered heart comprised of one ventricle and two atria. Thus, amphibians have a left and right atrium but a single large ventricle. This is different from mammals that have a four-chambered heart with two atria and two ventricles. The ventricle in amphibians is partially separated due to some space left along the separating wall. Blood from the ventricle has two pathways: it can either flow through the pulmonary artery heading to the lungs or through the aorta to the rest of the body. Blood that has been oxygenated in the lungs flows back to the heart through the pulmonary vein and into the left atrium. Deoxygenated blood from the rest of the body flows back to the heart through the sinus venosus and into the right atrium. The left and right atria empty both the oxygenated and deoxygenated blood into the ventricle. The amphibian circulatory system is not as effective as that of mammals in keeping oxygenated and deoxygenated blood flowing separately, but the sy...

Percy actually does not have ADHD.  This is something Annabeth explains to him once he arrives at Camp Half-Blood.  He's always been told that he has dyslexia, but Annabeth explains that he does not; it's just that his brain his hard-wired for ancient Greek writing, and so 21st-century American English simply doesn't compute correctly.  Also, Percy's always been described as impulsive and had a hard time sitting still in the classroom, but Annabeth explains that these are his "battle-field reflexes" and not a lack of impulse control at all.  Finally, Annabeth tells Percy that another reason he seems to have attention problems is that he sees more than the average mortal, not less.  This is another reason he's been told he has ADHD.  She claims that most of the teachers are monsters, and this is one major reason that they'd want Percy on ADHD medicine: they don't want him to be able to see them for what they really are.

In Act III, Scene 1, Romeo claims that Juliet's beauty (he never says love, but it is implied) has rendered him effeminate. He refers to himself as unmanly because he did not stand up for himself when he was challenged by Tybalt. Instead, Mercutio steps in and fights Tybalt, mistaking Romeo's behavior for cowardice. Romeo has just been married to Juliet, Tybalt's cousin, and fighting the Capulet is the furthest thing from his mind. He even tells Tybalt that he loves him. All the while, Mercutio's anger is rising and he and Tybalt end up fighting, which leads to Mercutio's death when Romeo attempts to intercede. At first, the Montague men do not believe that Mercutio is hurt badly, as he continues joking, but when he turns up dead, Romeo is grief stricken, saying, This gentleman, the Prince’s near ally, My very friend, hath got this mortal hurt In my behalf. My reputation stained With Tybalt’s slander—Tybalt, that an hour Hath been my cousin! O sweet Juliet, Thy beau...

The English Bill of Rights was enacted in 1689 after the overthrow of Charles the II, in what is known as "The Glorious Revolution." Charles the II alienated nearly everyone in England at the time of his reign, primarily because of his efforts to Catholicize the nation. In response, the members of parliament secretly encouraged a Dutch prince, to overthrow him. William of Orange successfully led his fleet against the English sovereign and Charles the II fled the country. After William of Orange came to power, members of parliament decided they should have a document listing their rights so that their new ruler would have reasonable limits placed upon him. The English Bill of Rights provides the following: The suspension of laws and dispensing with laws by the crown without consent of Parliament is illegal; Commission for ecclesiastical causes is illegal; Implementing taxes without grant of Parliament is illegal; Subjects of the realm have the right to petition the king. It is...

Squids have 10 appendages, 8 arms and 2 tentacles. These vary slightly in appearance and in use. The two long tentacles have suckers (the small round disks most cephalapods use to grasp surfaces and prey) only on the end creating a sort of hand. These are used to take hold of and catch prey. Some even have sharp edges to their ends allowing them to hook into prey for a better grip. On males, one tentacle will be slightly longer than the other. This tentacle is used for sperm delivery and some species will tear off this limb and hand it to the female to be used when needed.  The 8 long arms have suckers running along their entire length. As these are shorter than tentacles they are not for catching prey but mainly for holding the prey towards the mouth after the prey has already been caught. Some species, such as the colossal squid, have hooks running along their tentacles as well for an extra grip. 

Recall a binomial series  follows:  `(1+x)^k=sum_(n=0)^oo _(k(k-1)(k-2)...(k-n+1))/(n!)x^n` or `(1+x)^k = 1 + kx + (k(k-1))/(2!) x^2 + (k(k-1)(k-2))/(3!)x^3 +(k(k-1)(k-2)(k-3))/(4!)x^4+` ... To evaluate given function `f(x) =1/(2+x)^3` , we may apply  `2+x = 2(1+x/2)` . The function becomes: `f(x) =1/(2(1+x/2))^3` Apply Law of Exponents: `(x*y)^n = x^n*y^n` at the denominator side. `1/(2(1+x/2))^3=1/(2^3(1+x/2)^3)`                 `= 1/(8(1+x/2)^3)` Apply Law of Exponents: `1/x^n = x^(-n)` . `f(x) = 1/8(1+x/2)^(-3)` Apply the binomial series on `(1+x/2)^(-3)` . By comparing "`(1+x)^k` " with "`(1+x/2)^(-3)` " the corresponding values are: `x=x/2 ` and` k =-3` Then, `(1+x/2)^(-3) =sum_(n=0)^oo _((-3)(-3-1)(-3-2)...(-3-n+1))/(n!)(x/2)^n` ` =1 + (-3)x/2 + ((-3)(-3-1))/(2!) (x/2)^2 + ((-3)(-3-1)(-3-2))/(3!)(x/2)^3 +((-3)(-3-1)(-3-2)(-3-3))/(4!)(x/2)^4+...` ` =1 -(3x)/2 + ((-3)(-4))/(2!) (x^2/4) + ((-3)(-4)(-5))/(3!)(x^3/8) +((-3)(-4)(-5)(-6))/(4!)(x^4/16)-` ... ` =1 -(3...