Sequences and Convergence Let x1 ‚ x2 ‚ ...‚ xn ‚ ... denote an infinite sequence of elements of a metric space (S‚ d). We use {xn }∞ n=1 (or simply {xn }) to denote such a sequence. Definition 1 Consider x0 ∈ S. We say that the sequence {xn } converges to x0 when n tends to infinity iff: For all > 0‚ there exists N ∈ N such that for all n > N ‚ d(xn ‚ x0 ) < We denote this convergence by lim xn = x0 or simply xn −→ x0 . n→∞ Example 2 Consider the sequence {xn } in R‚ defined by xn = n1 . Then xn
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Mirror Image Do you watch reality television? Did you know it impacts our daily lives as well? Most young girls‚ if not all young girls‚ grew up watching cartoons every Saturday morning. Weather it be “Power-puff Girls or good old classic “Dora the Explorer”‚ young girls have always watched cartoons and has influenced how they acted while they are growing up to adolescence. They wanted to be like the cartoon characters‚ and would imitate how those characters would act with their friends. The same
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a girl” (Brown)‚ this is true for both Lady Macbeth and Bianca. In Shakespeare’s Macbeth and The Taming of the Shrew‚ Lady Macbeth and Bianca are both female characters who struggle for power in a man’s world‚ one rejects femininity and the other exploits it. Lady Macbeth consciously attempts to reject her feminine sensibility and adopt a male mentality by calling upon murdering spirits That tend on mortal thoughts‚ unsex me here‚ And fill me from the crown to the toe top-full Of direst
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store‚ an emblem of capitalism‚ was able to emerge‚ dominate‚ and swallow up smaller competition. As a contemporary issue for its time‚ it is no surprise that The Ladies’ Paradise‚ by Émile Zola‚ concentrates on the struggle of the smaller shops and the immense success and dominance of the big‚ new department
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A MIRROR TO THE BLIND An autobiography of Abdul Sattar Edhi by Tehmina Durrani. A mirror to the blind was an insight in the life of the most dedicated social worker of Pakistan Mr. Abdul Sattar Edhi. Ms Tehmina Durrani wrote this book with the help of over 40 hours of recordings and after two years of effort this book was finally published in 1998.Edhi belonged to a middle class bantva Memon family. His father was twice and his mother once widowed before they married each other. Edhi’s mother
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The Lady of Landuc’s actions were a consequence of Yvain’s dishonorable oath on courtly love. Yvain married The Lady of Landuc saying‚ “I’m wholly yours; I’ve pledged today to yield to you and to obey all your commands.”(Bédier‚ 1973‚ p. 56) Yvain’s pledge is relevant because it plays a major significance later when he neglects her. Yvain ignored his oath completely when she commanded him to come back to her within a year of fighting for his pride of self-reputation as the best knight. Yvain became
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In class were briefly touched on the subject of mirror neurons‚ which are neurons that fire when an animal acts or observes the same action done by another. We learned that these neurons exist primarily in the ventral premotor cortex F5 areas of a monkey’s brain. Experiments proved that neurons in the VPC F5 area fire when a monkey does an action‚ but also fire when a monkey watches a human do the same action. However‚ when the monkey watches the human just carry out the motions of the action‚ not
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‘Mirror’ By Sylvia Plath – Textual Analysis ‘Mirror’ is one of many works by the American poet Sylvia Plath‚ which was written within the last few months before her death‚ along with a number of other poems. One of the greatest qualities of her poems was its versatile nature. Her poems were never restricted to one interpretation. ‘Mirror’ is one such poem‚ where each reader is free to interpret her art differently. The speaker is not Sylvia Plath‚ but the mirror itself. As the first line of the
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Mirror neurons are defined as a group of neurons that fire both when the monkey executes a motor act and when it observes another individual (a human being or another monkey) performing the same or a similar motor act. They were discovered by a group of scientist at the University of Parma‚ Italy‚ when working on monkeys. The researchers‚ led by Giacomo Rizzolatti‚ had observed strange phenomenon with peanuts. They discovered that same group of neurons was responding when the monkey would pick up
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Throughout America’s turbulent past‚ there has always been the same questions‚ statements‚ and misconceptions about other races. In the story‚ No Mirrors in My Nana’s House‚ the author addresses the issues of difference and diversity in a way that is easy for children to understand. On the cover of the book‚ the reader first sees a little girl and an older lady without any distinguishable facial features. As a first time reader of the story‚ I was curious as to why the individuals were without facial
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