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Analisi II - Ripasso generale

Username or email: Password: Remember me.Appunti di Analisi 2 dalle lezioni del professor Francesco Serra Cassano. GitHub is home to over 50 million developers working together to host and review code, manage projects, and build software together.

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analisi ii

You signed out in another tab or window.Vivie and Mrs. Warren are left alone and the tension between them rises immediately. Warren suggests that the two of them should live together until Vivie is married, but Vivie disagrees. She doesn't think her lifestyle would suit her mother, and idea that Mrs. Warren tries to dismiss as childish.

When Mrs. Warren attempts to demonstrate her power over her daughter by demanding that Vivie live according to her wishes, Vivie reminds her that they barely know each other. Specifically, Vivie points out that she knows hardly anything about her mother's profession or history, trying to force her mother to reveal the secrets between them.

Warren becomes emotionally distraught what she perceives as Vivie's cruelty toward her. She refuses to tell Vivie the identity of her father, although she confirms that it is not someone Vivie has ever met.

Vivie is disgusted and surprises her mother with her coldness. It is only when Mrs. Warren accuses her of being "a stuck-up prude" 64 that she loses some of her resolve and agrees to listen. Warren describes her childhood: Vivie's grandmother raised her, her sister Aunt Lizzieand two half-sisters alone. One of the half-sisters, Anne Janewent to work in a factory and died of lead poisoning; the other married an alcoholic and lived a conventional life. Aunt Lizzie and Mrs. Warren went to a church school until Aunt Lizzie ran away; now she lives as a respectable lady because she was able to support herself as a businesswoman.

Warren, on the other hand, was set up by a clergyman as a scullery maid and eventually became a prostitute in order to maintain her independence from men and to support herself financially.

She implores Vivie to believe that she does not enjoy making money this way, that she always believed it to be morally wrong. However, she made the best of what she had and has found independence and financial stability through prostitution.

In fact, Vivie's own life has greatly benefitted from her mother's work, since she has been able to afford a first-rate education. Vivie has gained an immense amount of respect for her mother after hearing her life story.

She asks whether her mother ever feels ashamed of her work, and Mrs. Warren's answer is that although she does, of course, she believes that there was no other option for her, given the way the world is for women. Warren says she is getting tired, Vivie admits she won't be able to sleep. She tells her mother that she has won her over, and that she'd like to be on good terms.

They hug each other and declare that they will be good to each other in the future. Vivie's lack of sentimentality in the face of her mother's emotion marks her as an example of a "New Woman.

Warren, too, has exemplified feminist qualities by deciding to support herself in the face of adversity rather than accepting her gender's conventional lot.

But the ways in which the women are achieving independence differ; this contrast is evident in Vivie's questions to her mother -- "Who are you? What are you? Warren's later desperate plea to her daughter --"My God, what sort of woman are you?

Throughout this conversation, the relationship between mother and daughter goes through various transformations. The underlying tension is that while each approaches life unconventionally, their ideas still conflict in many ways. Warren does not know her daughter personally and believes she can wield emotional power over her. However, Vivie is unemotional and practical, and will not allow herself to be manipulated by her mother. The secret of Mrs.Today, we live in a big data age where all human activities and actions produce data.

In this course, we will trace the steps of statistical surveys: from statistical sampling, to the inferential tools used for interval and point estimates and for verifying the plausibility of hypotheses on one or more characteristics of the population studied. In other words, the scope of this course is to provide the students with a sensible synthetic ability as well as with a mature competence of abstraction when formalizing and analyzing the economic and managerial problems with the most appropriate tools.

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analisi ii

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analisi ii

Purchase now Request Information. About this course Skip About this course. What you'll learn Skip What you'll learn. Massimo Aria Professore associato.Figure by Prof. Victor Guillemin. Cite This Course. Don't show me this again.

Analisi Matematica II

This is one of over 2, courses on OCW. Find materials for this course in the pages linked along the left. No enrollment or registration. Freely browse and use OCW materials at your own pace. There's no signup, and no start or end dates. Knowledge is your reward. Use OCW to guide your own life-long learning, or to teach others.

We don't offer credit or certification for using OCW. Made for sharing. Download files for later. Send to friends and colleagues. Modify, remix, and reuse just remember to cite OCW as the source. This course continues from Analysis I The first half of the course covers multivariable calculus. The rest of the course covers the theory of differential forms in n-dimensional vector spaces and manifolds. Archived versions:.

Analisi II

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Analisi matematica II

Skip to main content. Log In Sign Up. Appunti di Analisi II. Francesco Serra. Per eventuali file non qui specificati che possiedono una licenza differente, fai riferimento agli stessi. Proseguendo nella lettura, accetti automaticamente le condizioni di rilascio. Contatti: secli. Definizione 1. Ci avvaliamo quindi del risultato del seguente teorema. Teorema 1. Dimostrazione: Vedi Esercizio 4 del Foglio 1. Corollario 1. Il limite, se esiste, deve essere uguale da tutte le direzioni.

Alle luce di questo, diamo la seguente definizione. Proposizione 1. Osservazione 1. Il problema di trovare una qualche nozione di derivata si traduce in una prima istanza nella definizione delle cosiddette derivate parziali. Prendiamo ora in considerazione la nozione di punto tangente al grafico, e intro- duciamo la definizione di funzione differenziabile in un punto e di differenziale di una funzione.

Supponiamo che f sia differenziabile nel punto P0. Sia e1. Supponiamo che f sia differenziabile in P0. Diamo comunque il seguente teorema. Tuttavia, questi spazi hanno dimensione infinita! In particolare, crolla il Teorema di Bolzano-Weierstrass.

Dimostrazione: Si veda [Giu]. Chi mi assicura che devo bucarla? Infatti, in Q tale interfaccia non si bucherebbe. Inoltre, Rn e Rm possiedono una struttura di spazio vettoriale lineare su R.

Supponiamo ora di fissare la base canonica di Rm e1. Dimostrazione: Ricordiamo innanzitutto che Ex. Supponiamo inoltre che f sia differenziabile nel punto P0. Supponiamo che: 5 Le righe orizzontali indicano informalmente dei vettori riga. Inoltre Ex. Vale allora il seguente teorema. Supponiamo che valga RLm per f e proviamo che vale RPm. Andando a contare il numero di volte che si verifica 3si prova per induzione k!

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