Category: Essay

Interest was allowed to *accumulate*. until the whole debt amounted to the sum of a thousand dollars.

Then you began to take part in local politics and to *accumulate* ambitions.

Thus Buddhists *accumulate* religious "merit" 166 not only by fasting and praying, but by making collections of jewels and symbols.

Aye; *accumulate* a store of our own ready for the day we want them?

From time to time it cleans out the dirt and rubbish which *accumulate* in the hole.

Folks work to get a living, and then to *accumulate* property.

We all like to *accumulate*. to believe that we are fortune's favourite.

Dust was not allowed to *accumulate* on the Bibles of Madagascar in those days!

Allow no metal dust or gritty substances to *accumulate* at the insulation of exposed parts.

It would be easy as well as instructive to *accumulate* examples.

; NAmE NAmE / / əˈkjuːmjəleɪtɪŋ / /

from the verb accumulare. from ad-

Extra examples Children gradually accumulate knowledge as they grow up. Dirt must not be allowed to accumulate. Evidence began to accumulate, suggesting that the drug had harmful side-effects. Toxic chemicals tend to accumulate in the body. seas and lakes where sedimentary deposits are slowly accumulating the wealth he had accumulated over the years

See the Oxford Advanced American Dictionary entry: accumulate

*Double click on any word to get a popup explanation of the word and sample sentences**Dictionary | Wikipedia | Synonyms | Quotation | News*

- collect or gather; "Journals are accumulating in my office"; "The work keeps piling up"
- get or gather together; "I am accumulating evidence for the man''s unfaithfulness to his wife"; "She is amassing a lot of data for her thesis"; "She rolled up a small fortune"

- Repeat-accumulate code: In computer science, repeat- accumulate codes (RA codes) are a low complexity class of error-correcting codes. They were devised so that their ensemble
- Multiply–accumulate operation: In computing, especially digital signal processing, the multiply– accumulate operation is a common step that computes the product of two numbers and adds
- Accumulated cyclone energy: Accumulated cyclone energy (ACE) is a measure used by the National Oceanic and Atmospheric Administration (NOAA) to express the activity of individual
- Accumulated Campaign Service Medal: The Accumulated Campaign Service Medal and the Accumulated Campaign Service Medal 2011 are medals awarded by Her Majesty Queen Elizabeth II to members
- Accumulated other comprehensive income: to retained earnings each period they accumulate as shareholder equity items and thus are entitled “ Accumulated Other Comprehensive Income” and is sometimes
- Accumulated thermal unit: An accumulated thermal unit is a unit of measurement used to describe the cumulative effect of temperature over time. 1 ATU is equal to 1 degree Celsius

Accumulation is a figure of speech in rhetoric that creates a list or gathers scattered ideas in a way that builds up, emphasizes, or summarizes the main point. Accumulation is an example of addition in rhetoric, using a “more the merrier” approach to illustrating the theme of a passage. Addition in rhetoric is also known as *adiectio*. while the definition of accumulation is the same as that of congeries and *accumulatio*. Accumulation is part of a group of figures of speech in rhetoric called *enumeratio*. Note that accumulation often has some repetition included, especially anaphora in which a word is repeated at the beginning of successive clauses or sentences. However, to qualify as accumulation the repetition must have a sense of adding on to a list and not simply repeating the same thing over and over.

The word accumulation comes from the Latin word for “to amass.”

There are many famous examples of accumulation in speeches, songs, interviews, advertisements, and so on. Here are some examples of accumulation, both famous and more obscure:

I’ve been to:

Boston, Charleston, Dayton, Louisiana,

Washington, Houston, Kingston, Texarkana,

Monterey, Faraday, Santa Fe, Tallapoosa,

Glen Rock, Black Rock, Little Rock, Oskaloosa,

Tennessee to Tennesse Chicopee, Spirit Lake,

Grand Lake, Devils Lake, Crater Lake, for Pete’s sake.

—“I’ve Been Everywhere” by Johnny Cash

St. Augustine founded it. Becket died for it. Chaucer wrote about it. Cromwell shot at it. Hitler bombed it. Time is destroying it. Will you save it?

—Slogan for Canterbury Cathedral in England

I guess to be an American writer means, uh, I have dined multiply at drive-thru windows and that I have no choice but to occasionally darken the inside of a shopping mall, and that I come from a country of former slave-owners…and it means, hmm, that I like artificial cheese food products, and it means that I conceive of nature as an expanse of space, and it means that I believe that spirituality is best experienced in landscapes emptied of human beings, and it means that I like to spin the dial on a television set, just can’t stop myself from spinning that dial, and it means that I only speak one language well…and it means that I look to Europe for a definition of the ‘high’ arts, and it means that I sometimes can’t tell the difference between ‘high’ and ‘low’ arts…and it means I can’t imagine anyone would disagree with all these American things.

—Rick Moody interview in “The Paris Review”

Accumulation can be an effective rhetorical strategy to create a sense of momentum towards a climax or conclusion. Authors may use accumulation to summarize all that’s come up until a certain moment, or to almost overwhelm the reader by heaping on more and more information. Accumulation can be also used to illustrate the main idea by exploring its many different facets and clarifying it. Accumulation can be found in every type of literature, from ancient drama to literary novels to poetry both old and contemporary.

PRINCE HENRY: A tun of man is thy companion. Why dost thou converse with that trunk of humors, that bolting-hutch of beastliness, that swollen parcel of dropsies, that huge bombard of sack, that stuffed cloakbag of guts, that roasted Manningtree ox with the pudding in his belly, that reverend Vice, that gray iniquity, that father ruffian, that vanity in years?

(*Henry IV, Part 1* by William Shakespeare)

William Shakespeare is famous for the eloquence and inventiveness of his writing, but this doesn’t only apply to his beautiful sonnets and tragic monologues. Shakespeare was just as clever with his invective and insults, as we can see in the above excerpt from *Henry IV, Part 1*. Prince Henry is criticizing Falstaff in a myriad of ways, using accumulation to express his ire and overwhelm Falstaff. This quote contains anaphora with Henry beginning each new insult with “that.”

I saw the best minds of my generation destroyed by madness, starving hysterical naked,

dragging themselves through the negro streets at dawn looking for an angry fix,

angelheaded hipsters burning for the ancient heavenly connection to the starry dynamo in the machinery of night,

who poverty and tatters and hollow-eyed and high sat up smoking in the supernatural darkness of cold-water flats floating across the tops of cities contemplating jazz,

who bared their brains to Heaven under the El and saw Mohammedan angels staggering on tenement roofs illuminated,

who passed through universities with radiant cool eyes hallucinating Arkansas and Blake-light tragedy among the scholars of war,

who were expelled from the academies for crazy & publishing obscene odes on the windows of the skull

who cowered in unshaven rooms in underwear, burning their money in wastebaskets and listening to the Terror through the wall…

(“Howl” by Allen Ginsberg)

Allen Ginsberg’s poem “Howl” is one very long example of accumulation. The excerpt above begins part one of the poem, and the “sentence” that is starts does not end for almost one hundred lines (each line being quite long in itself). Each of the three parts of “Howl” contains very strong use of anaphora, which is to say that each line begins in the same way. Ginsberg wanted the poem to be very striking in its imagery and sound, and used the technique of accumulation and long lines to create a sense of breathlessness.

And the places on her body have no names.

And she is what’s immense about the night.

And their clothes on the floor are arranged

for forgetfulness.

(“Dwelling” by Li-Young Lee)

Li-Young Lee’s short poem “Dwelling” ends with the short stanza excerpted above, which contains the anaphora example of each line beginning with “and.” This is also an accumulation example that builds toward a sense of conclusion by offering three distinct yet collaborating views of intimacy.

I went to sleep with gum in my mouth and now there’s gum in my hair and when I got out of bed this morning I tripped on the skateboard and by mistake I dropped my sweater in the sink while the water was running and I could tell it was going to be a terrible, horrible, no good, very bad day.

(*Alexander and the Terrible, Horrible, No Good, Very Bad Day* by Judith Viorst)

Even the title of Judith Viorst’s book for children *Alexander and the Terrible, Horrible, No Good, Very Bad Day* is an example of accumulation. Alexander proves just how bad his day is going by showing all the problems that have already occurred before breakfast. This accumulation of frustrations is familiar to us all, when we think that the universe must be against us because nothing seems to be going right. This excerpt also proves that accumulation and other similar rhetorical devices are prevalent not just in famous literature, but also is appropriate for children’s stories. In fact, it is sometimes more common in children’s books just because the repetition and adding on of ideas makes the book more memorable for kids.

*1. Which of the following statements is the best accumulation definition?**A.* Adding redundant statements until a reader is sick of the main idea.*B.* Subtracting important information so that the main idea is obscure.*C.* Amassing similar or dissimilar things in a list so as to provide a sort of climax.

Answer to Question #1

Martyna Wiacek

MTH 116 C- Applied Calculus

11/6/2012

Chapter 5 Writing Assignment

There is a correlation between area, accumulated change, and the definite integral that we have focused on throughout Chapter 5 in Applied Calculus.

When looking at one rate-of-change function, the accumulated change over an interval and the definite integral are equivalent, their values could be positive, negative or zero. However, the area could never be negative because area is always positive by definition. The accumulated change looks at the whole area of the function that is between the graph and the horizontal axis. For instance, if f (x) is a rate-of-change function the area between f (x) and the x-axis represents the accumulated change between x = a and x = b. However, the definite integral puts specific limits into the function and the area of a particular region can be determined. For example, if f (x) is a rate-of-change function it means that: is what you can consider the area. The accumulation of change in a certain function can be evaluated by using the area of the region between the rate-of-change curve and the horizontal axis.

We also see a similar relationship between the rate-of-change graph and the accumulated graph that we saw in derivatives. A minimum in the accumulated graph is caused by the rate-of-change function crossing over from positive to negative. A maximum in the accumulated graph is a result of the rate-of-change function moving from negative to positive. When there is a maximum or minimum in the rate-of-change graph you get an inflection point in the accumulation graph as well. Also, we see that if the rate-of-change function is negative then the accumulated graph is negative and so the accumulation graph is decreasing. However, when the rate-of-change graph is increasing, it does not affect whether or not the accumulated graph is increasing or decreasing.

There are several problems in our book that demonstrate this.

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*Definite**Integrals* Section 5.2 OBJECTIVES: - be able to express the area under a curve as a *definite**integral* and as a limit of Riemann sums - be able to compute the area under a curve using a numerical integration procedure - be able to make a connection with the definition of integration with the limit of a Riemann Sum Sigma notation enables us to express a large sum in compact form: [pic] The Greek capital letter [pic](sigma) stands for “sum.” The index k tells us where to begin the sum (at the number below the [pic]) and where to end (the number above). If the symbol [pic] appears above the [pic], it indicates that the terms go on indefinitely. [pic] is called the norm of the partition which is the biggest [pic] (interval) Riemann Sum: A sum of the form [pic] where f is a continuous function on a closed interval [a, b]; [pic] is some point in, and [pic] the length of, the kth subinterval in some partition of [a, b]. Big Ideas of a Riemann Sum: - the limit of a Riemann sum equals the *definite**integral* - rectangles approximate the region between the x-axis and graph of the function - A function and an interval are given, the interval is partitioned, and the height of each rectangle can be a value at any point in the subinterval Negative area? Because the function is not positive, a Riemann sum.

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Before we can discuss both *definite* and indefinite *integrals* one must have sufficient and perfect understanding of the word *integral* or integration. So the questions that arise from this will be “what is *integral* or integration?”, “why do we need to know or study *integral* or integration?” and if we understand its concept then “what are its purposes’? These questions should be answered clearly to give a clear, precise meaning and explanation to *definite* and indefinite *integrals* . To answer the first question in a very plain language, integration is simply the reveres of differentiation. And differentiation is, briefly, the measurement of rate of *change* between two variables, for example, x and y. This mathematical method can be used to reverse derivative back to its original form. For some one that is familiar with derivative, we know that d/dx (x2) = 2x or in mathematical notation we can write it as f ’(x2) = 2x. This is calculated simply by using the derivative formula nxn-1 where x2 will be 2* x2-1 = 2x. Now to reverse this derivative we have to use law of *integral* (power rule) that states for f(x), x = xn+1n+1 (normally written as xn+1n+1 + k) now f(x) = 2x will now be equal to 2 * x1+11+1 = 2* x22 + c = x2 This method of reversing the derivative of a function f back to its original form is what is meant by *integral* . It.

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Lecture 15 The *Definite**Integral* and Area Under a Curve *Definite**Integral* ---The Fundamental Theorem of Calculus (FTC) Given that the function [pic] is continuous on the interval [pic] Then, [pic] where F could be any antiderivative of f on a ( x ( b. In other words, the *definite**integral* [pic] is the total net *change* of the antiderivative F over the interval from [pic] • Properties of *Definite**Integrals* (all of these follow from the FTC) 1. [pic] 4. [pic] 2. [pic] 5. [pic] 3. [pic], k is a constant. Examples 1. Find [pic] 2. Find [pic] 3. Suppose [pic]. Find [pic], hence find [pic] 4. Suppose [pic]. Find.[pic]. • Evaluate *Definite**Integrals* by Substitution The method of substitution and the method of integration by parts can also be used to evaluate a *definite**integral* . [pic] Examples 5. Find [pic] 6. Find [pic] 7. Find [pic] 8. Find [pic] Area and Integration There is a connection between *definite**integrals* and the geometric concept of area. If f(x) is continuous and nonnegative on the interval [pic], then the region A under the graph of f between [pic]has area equal to the *definite**integral* [pic]. [pic], where [pic]is any antiderivative of [pic]. •.

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Student: 1. A person engaged in study; one who is devoted to learning; a learner; a pupil; a scholar; especially, one who attends a school, or who seeks knowledge from professional teachers or from books; as, the students of an academy, a college, or a university; a medical student; a hard student. 2. One who studies or examines in any manner; an attentive and systematic observer; as, a student of human nature, or of physical nature. Read more at http://www.brainyquote.com/words/st/student224972.html#8e3V1akysIFQymGV.99 Word of Mouth: From Wikipedia, the free encyclopedia Word of mouth, or viva voce, is the passing of information from person to person by oral communication, which could be as simple as telling someone the time of day. Storytelling is a common form of word-of-mouth communication where one person tells others a story about a real event or something made up. Oral tradition is cultural material and traditions transmitted by word of mouth through successive generations. Storytelling and oral tradition are forms of word of mouth that play important roles in folklore and mythology. Another example of oral communication isoral history—the recording, preservation and interpretation of historical information, based on the personal experiences and opinions of the speaker. Oral history preservation is the field that deals with the care and upkeep of oral history materials collected by word of mouth, whatever format they may be in. An important area of.

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N.E.D University of Engg. & Tech. CS-14 *Integral* Calculus: Definition: “The branch of mathematics that deals with *integrals* . especially the methods of ascertaining indefinite *integrals* and applying them to the solution of differential equations and the determining of areas, volumes, and lengths.” History of *Integral* Calculus: Pre-calculus integration: The first documented systematic technique capable of determining *integrals* is the method of exhaustion of the ancient Greek astronomer Eudoxus (ca. 370 BC), which sought to find areas and volumes by breaking them up into an infinite number of shapes for which the area or volume was known. This method was further developed and employed by Archimedes in the 3rd century BC and used to calculate areas for parabolas and an approximation to the area of a circle. Similar methods were independently developed in China around the 3rd century AD by Liu Hui, who used it to find the area of the circle. This method was later used in the 5th century by Chinese father-and-son mathematicians Zu Chongzhi and Zu Geng to find the volume of a sphere (Shea 2007; Katz 2004, pp. 125–126). The next significant advances in *integral* calculus did not begin to appear until the 16th century. At this time the work of Cavalieri with his method of indivisibles, and work by Fermat, began to lay the foundations of modern calculus, with Cavalieri computing the.

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Debate Resolution 3: Be it resolved that development is characterized by stability rather than *change* . Introduction * What is development? Herr (2008) posits that development refers to *change* or growth that occurs in children. * ‘The issue of stability versus *change* relates to whether or not personality traits during infancy endure in children throughout their Life Span’ (Education.com, 2013). * What is personality? Research shows that personality encompasses a number of characteristics that arise from within an individual. Personality psychology looks at the patterns of thoughts, feelings, and behavior that make a person unique. While, Your Dictionary.com (2013) defines personality traits as actions, attitudes and behaviours you possess. Summary of Key Arguments Question: Does personality become stabilized during the first five years of life, as suggested by Sigmund Freud? Reflection: As the twig is bent, so the tree grows. (Clarizio, Craig & Mehrens, (1974). Answer: On the whole, a child’s personality continues to develop in the direction it started, whether it be a shy, withdrawn girl or an aggressive demanding boy, these characteristics are likely to persist into adulthood…(Clarizio, et al (1974). Additionally, Windows of Opportunity is a specific time span for normal development of certain types of skills. “Timing is important” Herr (2008). For example, since the critical period for emotional.

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*Change**Vs* . Development MGT Due: 8/21/2003 The concepts of *change* and development come up frequently in the fields of business, technology, education, sociology, psychology, and many other fields. These concepts may appear to be the same, or similar, but they are very different concepts. According to Webster's Universal College Dictionary, the definition of *change* is as follows: "To make different in form; to transform; to exchange for another or others; to give and take reciprocally; to transfer from one to another; to give or get smaller money; to give or get foreign money in exchange for; to remove and replace the coverings or garments of; to become different; to become altered or modified; to become transformed; to transfer between conveyances; to make an exchange; to pass from one phase to another; a replacement or substitution; a transformation or modification; variety or novelty." The synonyms for the word *change* . as listed in Roget's Desk Thesaurus, are: "alter, modify, make different, adjust, shift, vary, recast, restyle, remodel, reorganize, reform, revolutionize, transfer, transmute, mutate, transform, turn, convert, metamorphose; exchange, replace, substitute, swap, trade, switch, shift, interchange, shuffle, remove and replace; difference, modification, switch, shift, variation, deviation, variety, fluctuation, veering, alteration, conversion, substitution, swapping, reform.

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except *change* ," said philosopher Heraclitus. Others have called *change* or variety as 'the spice of life'. So, *changes* (shuffle or reshuffle) in the government from time to time should come as no surprise to anyone, though *changes* in the political arena are often viewed with suspicion. *Change* is in the very nature of being. Every new day is different from the previous day. Body metabolism is one such process as also growth of trees and revolving of planets. Tides come and go. Sometimes a whole river *changes* its course as was the case with the Saraswati. The great insight of the enlightened, Gautam the Buddha, was the everything that is, will *change* and the changed will *change* further. Hence, one must neither get attached to joy (happiness) because that will pass away; nor get depressed with sorrow (suffering) because that too will pass away. Nothing is really permanent in this world. *Changes* can be categorized under two main types. *Changes* that take place in nature we have little or no control over. We cannot, for instance, switch the time of tides, which anyway, wait for no one. The other kind of *change* is the one we witness either in political, social or other fields including the area of personal life. These are *changes* over which one can exercise some degree of control, *changes* .

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