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“We are in the presence of a work of art only when it has no preponderant instrumental use, and when its technical and rational foundations are not preeminent.”1 The words of George Kubler, a prominent twentieth century art historian, support the notion that art cannot be useful or necessary to society outside of its artistic expression. Kubler’s belief, however, is not solely a contemporary idea. The eighteenth century philosopher, Immanuel Kant, formally proposed this theory. Kant separated

Contents Introduction 1 Evolution of Logarithmic Concepts 2 John Napier of Merchiston 3 Early Life 3 Advances in Mathematics 3 Napier’s Logarithm Table 4 Initial ideas 4 Progression of Arithmetic and Geometric concepts 4 Definition of the Logarithm 4 Approximation of the Logarithm 4 Construction of the table 4 Base of Logarithms 4 Logarithms of Negative Numbers 5 Methodology 5 Controversy 5 Euler’s Take 5 Conclusion 6 References 6 Introduction The contemporary world is full of marvels. Technological

usage makes the topic more interesting to me. Moreover, Euler e is one irrational number which is equal to its derivative and integral. Math has surrounded the world with calculation and there we have Introduction: Originally e was constantly used by many mathematicians in 17th and 18th century. It was denoted by Swiss mathematician, Leonhard Euler as e. Constant e= 2.71828182845904523536028747135266249775724709369995… The history of e starts with John Napier who aimed to simplify logarithms multiplication

negative, the parent function is reflected on the x-axis. If x is negative, the parent function is reflected on the y-axis. In many applications, the natural base e is the most convenient base in an exponential equation. The value e is approximately 2.718281828. The natural base e works exactly like any other base. It is easy to think of e as a substitution for a in f (x) = ax. Its graph looks as so: -Domain: (-, ) -Range: (0, ) -Intercept: (0,1) -It increases -x-a... ... middle of paper ..

The sun shinned brightly as the cold Texas wind blew rapidly while I walked on the bumpy cemented road of Fort Worth Stockyard’s. The time was thirty minutes after eleven o clock. The streets of the Stockyards were noticeably empty. A few people were paying for hour parking tickets to ensure their cars would not get towed. Some workers at a local coffee spot in the Stockyards were cleaning off tables on the patio. At that moment the Stockyards looked boring, uninteresting and dead. The next thirty

Introduction: In mathematics, the exponential function is the function ex, where e is the number (approximately 2.718281828) such that the function ex equals its own derivative. The exponential function is used to model phenomena when a constant change in the independent variable gives the same proportional change (increase or decrease) in the dependent variable. The exponential function is often written as exp(x), especially when the input is an expression too complex to be written as an exponent

number e Introduction Leonhard Euler was a brilliant Swiss mathematician and physicist, living between 1707 and 1783. Euler had a phenomenal memory, so much so that he continued to contribute to the field of mathematics even after he went blind in 1766. He was the most productive mathematical writer of all time, publishing over 800 papers. Euler’s dedication towards the subject intrigued me and motivated me to choose a topic related to Euler himself. Amidst his many contributions, I came across e. After

The Development of the Concept of Irrational Numbers Irrational numbers are real numbers that cannot be written as a simple fraction or a whole number. For example, irrational numbers can be included in the category of √2, e, Π, Φ, and many more. The √2 is equal to 1.4142. e is equal to 2.718. Π is equal to 3.1415. Φ is equal to 1.6180. None of these numbers are “pretty” numbers. Their decimal places keep going and do not end. There is no pattern to the numbers of the decimal places. They are all

Delight me, tickle my senses, I dare you! To be delighted-- isn’t that something we all wish to enjoy. Taking a walk in Edward E. Cummings’ poem, titled; “[S]omewhere i have never travelled,gladly beyond”, where he embraces his reader upon revealing a rainbow of “colour[ful]” techniques-- making my mind dance over hills of wild flowers (Cummings 742). With each new flower giving form to a jumble of abstract emotions, he conveys a more pronounced diction. And though I may color myself a portrait

Edward Cummings was born in Cambridge, Massachusetts in 1894. His father was a professor at Harvard, leading Cummings to attend Harvard from 1911-1915 (Poetry for Students vol.3). At a young age Cummings showed a strong interest in poetry and art. His first published poems appeared in the anthology “Eight Harvard poets” in 1917. During WW1 Cummings volunteered for the French-based ambulance service and he spent four years in an internment camp in Normandy on suspicion of treason (Poetry for Students

American Poems." E.e. Cummings Poems, Biography and Quotes - by American Poems. Gunner Bengtsson, 2010. Web. 03 Feb. 2014. "E. E. Cummings." : The Poetry Foundation. The Poetry Foundation, n.d. Web. 02 Feb. 2014. "E. E. Cummings." Poets.org. Academy of American Poets, n.d. Web. 02 Feb. 2014. "E.E. Cummings Biography." Bio.com. A&E Networks Television, n.d. Web. 02 Feb. 2014. "E. E. Cummings Quotes." BrainyQuote. Xplore, n.d. Web. 17 Feb. 2014. "If Everything Happens That Can't Be Done." If Everything

''in Just- '' Poem Analyzation What is the a year without spring? Spring is one of the most majestic occasions of the year. It is during the spring time when plants and flowers are blooming with heavenly colors and fragrant odors. In the spring, children dash around in their yards while letting out chuckles. They play games in the flawless weather during this perfect time of year. The sun's shine is more vivid than ever now that winter has passed weeks ago. Who would not want to reminisce this

E. Cummings creates a critical and intolerant tone. He uses his work to criticize “most people” and how they blindly follow others. Cummings intolerance arises from others critical opinion of not normal people, whom the townspeople of the writing do not

Love is strong. Love is pure. The Great Gatsby and “anyone lived in a pretty how town” both implement the message that love is for everyone. In The Great Gatsby, is a story told by Nick Carraway, who was once Gatsby's neighbor, and he tells the story sometime after 1922, when the incidents that fill the book take place. As the story opens, Nick has just moved from the Midwest to West Egg, Long Island, seeking his fortune as a bond salesman. In “anyone who lived in a pretty how town” is about the

The definitions of good and being are similar because these two words define the best in people’s character.The three poets: Sonia Sanchez, The Roots and ee cummings prove throughout their poem that there is more than one meaning of being. Each of the poets defines “being” as a good thing because it defines a person’s worth. Sonia Sanchez, The Roots and ee cummings made it clear throughout their poems that there could be more than one meaning to these words by giving us different definitions. Being

A Painter as a Poet Each of these words could easily describe the fervent brushstrokes on a painters canvas. However, it is the passion of E.E. Cummings poetry that they are meant to express. The words and designs of his works embody the same breathless quality contained in modern art. It is no surprise that he was an open-minded critic, attentive observer, inspired participant, and devoted lover of various art forms besides his renowned poetry. The concepts of impulsive creation which

The Poetry of E. E. Cummings Is the of style e. e. cummings' poetry its true genius, or the very reason the works should be called drivel? Alfred Kazin says that the poet's style is "arrogant" and "slap stick" and that cummings is "the duality of the traditionalist and the clown"(155). Others, such as Richard P. Blackmur, say his technique is an insult to the writing profession. He says that cummings' poetry would only appeal to those with a "childish spirit"(140). It was Mark Van Doren, though

E. E. Cummings’ poem, “Maggie and Milly and Molly and May,” tells of an adventure of four girls who each learn a lesson in their experiences. To explain these lessons, Cummings uses poetic devices such as alliteration, simile, and symbolism, to elucidate the messages in an appealing way. In “Maggie and Milly and Molly and May,” Maggie, Milly, Molly, and May find a shell, starfish, crab, and stone, in which each object sends a message. In the beginning of the poem, Cummings swiftly describes the

“Anyone lived in a pretty how town,” by E.E. Cummings, is a poem that alludes to the circle of life and how birth and death are a natural part of this cycle. This meaning is conveyed by a complex metaphor; broken down, this metaphor slides away to reveal the true social commentary behind it. This poem is an allegory; the speaker uses pronouns with unclear antecedents to mask the true meaning and add poetic flair to the simple belief he or she presents. The first poetic device the speaker uses to

lifetime (“E.E. Cummings”). Being raised in a well-educated, literary family; Cummings had a strong background to develop in his chosen career. He wrote, on average, a poem everyday from the time he was 8 years old until he was through college at age 22 (“E(dward) […]”). What is even more extraordinary is he said his first rhyme at age three (Goodman). e.e. attended Harvard and studied etymology (“the study of historical linguistic change, especially as manifested in individual words”) (Dictionary.com)