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Integral over infinite dimensional space. | frankmath
https://frankmathworld.wordpress.com/2012/03/21/integral-over-infinite-dimensional-space
Just another WordPress.com weblog. Integral over infinite dimensional space. March 21, 2012. It is well-known how to define the Riemann integral or the Lebesgue integral of a measurable function on the finite dimensional Euclidean space. Given an infinite dimensional separable Hilbert space. For example, space of square summable sequences, and a functional. Can we have the infinite dimensional analogy. Let us simply assume that. Are all real numbers and. Is convergent for each. The inner product on.
Witten’s conjecture: Kontsevich’s Theorem | frankmath
https://frankmathworld.wordpress.com/2011/09/26/wittens-conjecture-kontsevichs-theorem
Just another WordPress.com weblog. Witten’s conjecture: Kontsevich’s Theorem. September 26, 2011. 1 Witten’s Conjecture: Kontevich’s Theorem. Be the moduli space of smooth curves of genus. Is its Deligne-Mumford compactification. A point in. Is of the form. Is a stable curve of genus. Are smooth points on. Be the line bundle over. Whose fiber over a point. Is the cotangent line. Denote the Chern class of the line bundle. Introduce a sequence of variables. Define the intersection index:. Notify me of new ...
A supplement note for Leray spectral sequence in Griffiths book: Local system | frankmath
https://frankmathworld.wordpress.com/2011/10/20/a-supplement-note-for-leray-spectral-sequence-in-griffiths-book-local-system
Just another WordPress.com weblog. A supplement note for Leray spectral sequence in Griffiths book: Local system. October 20, 2011. Be a differentiable fiber bundle whose fiber. Is a compact differentiable manifold. Choose an open set. To obtain a diffeomorphism. Can be computed by the K ”{u}nneth formula which states that. Then we have an isomorphism. In general, given a continuous map. Th direct image sheaf. Is the sheaf associated with the presheaf. Be an abelian group. On a space. We define a presheaf.
A simple proof of the Young Inequality | frankmath
https://frankmathworld.wordpress.com/2012/03/22/a-simple-proof-of-the-young-inequality
Just another WordPress.com weblog. A simple proof of the Young Inequality. March 22, 2012. Be positive real numbers. Assume further that. The following inequality is called the Young inequality. Are nonzero, we can divide both side of the above inequality by. And obtain the following equivalent form:. Let us define a new variable. We can see that. Thus the inequality can be rewritten as. Let us define a function. If we can show that for any. We can see that. Is the only critical point of the function.
Hopf Algebra | frankmath
https://frankmathworld.wordpress.com/2011/12/14/hopf-algebra
Just another WordPress.com weblog. December 14, 2011. Is a graded algebra. Over a commutative ring. So that there exists an identity. Such that the map. Is an isomorphism and there exists a homomorphism of graded algebra. Be the polynomial ring over. Is odd dimensional. Then. This would implies that. Be the exterior algebra over. It is easy to see that. In a Hopf algebra. Is said to be primitive if. Be hopf algebras over. Is again a hopf algebra. Integral over infinite dimensional space.
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L’Hopital’s Rule for Limits | My Math Blog
https://pqnelson.wordpress.com/2012/06/13/lhopitals-rule-for-limits
A topnotch WordPress.com site. Series Convergence: What Does It Mean? L’Hopital’s Rule for Limits. June 13, 2012. Now we are concerned about limits and we can have nightmarish limits. For example if. What can we do? We end up using derivatives to help evaluate such limits. We have L’Hopital’s rule state, if. 2 Sketch of Proof. We can use linear approximations. Use these approximations in (1a), then take the limit. So our limit becomes. We evaluate the inner limit first. So (4) simplifies to. You are comm...
Inverse Function Theorem | My Math Blog
https://pqnelson.wordpress.com/2012/06/04/inverse-function-theorem
A topnotch WordPress.com site. Optimization (Motivation) →. June 4, 2012. So we have some function. The “Inverse Function”. Is another function denoted. Be a function of. So what happens if we differentiate both sides of Equation (1) with respect to. The right hand side is trivial. The left hand side is more interesting. We see, by the chain rule, it is. But we do not know how to differentiate an inverse function…what to do? Why not set Equations (2) and (3) equal? Be a function and. What do we do? Pingb...
Antidifferentiation (Part 1) | My Math Blog
https://pqnelson.wordpress.com/2012/06/06/antidifferentiation-part-1
A topnotch WordPress.com site. Endomorphisms of the Fano Plane. Antidifferentiation (Part 2: Indefinite Integration) →. June 6, 2012. 1 Derivatives Properties Review. Be given. We recall the derivative. We have several rules for differentiation:. We want to introduce an “inverse” of differentiation. We will use the notation. Is an “Antiderivative”. Usually it’s an open interval) iff. What is its antiderivative? Well, we see its of the form. We take its derivative. To be equal to. Is the antiderivative for.
Exponential Function | My Math Blog
https://pqnelson.wordpress.com/2012/06/03/exponential-function
A topnotch WordPress.com site. Line Tangent to a Curve. Tangent Lines as Linear Approximations →. June 3, 2012. So we threw down a challenge at the end of our discussion of Tangent Lines. Recall we wanted to find a curve. Such that for any. We have the line tangent to that point. Historical note: Debeaune asked Descartes this problem in a letter in 1638; Leibniz solved this problem in 1684 using “infinitesimals”. We will use modern calculus to solve the problem! We can rewrite this to be. We could do this.
Implicit Differentiation | My Math Blog
https://pqnelson.wordpress.com/2012/06/04/implicit-differentiation
A topnotch WordPress.com site. Future Directions (After Differential Calculus) →. June 4, 2012. Recall a circle consists of the points. Question: how do we construct the line tangent to a point on the circle? This problem really boils down to “How do we take the derivative of Equation (1)? 8221; Since this is the meat of the matter, lets study this problem. What we can try to do is differentiate everything in (1) with respect to. We could then use the chain rule. Then evaluate the derivative to obtain.
Alex Nelson | My Math Blog
https://pqnelson.wordpress.com/author/jbufordjr
A topnotch WordPress.com site. Author Archives: Alex Nelson. I like math. I like programming. Most of all, I love puzzles. Index] Calculus in a Single Variable. October 26, 2013. Just to keep readers in the loop: I have not forsaken you! I just have a job now… I got hired to program in Clojure, a peculiar member of the Java family and distant relation to the LISP clan. Nevertheless, … Continue reading →. September 22, 2012. Introduction to Double Integration. July 25, 2012. Notes on Mathematical Writing.
Optimization Example: Area of Rectangle | My Math Blog
https://pqnelson.wordpress.com/2012/06/04/optimization-example-area-of-rectangle
A topnotch WordPress.com site. First Derivative Test →. Optimization Example: Area of Rectangle. June 4, 2012. We have a string of length. It does not stretch. But we want to form a rectangle using this string as its boundary. Moreover we want this rectangle’s area is maximized. What to do? Spoiler alert: solution below! Well, if we form a rectangle, then it has sides. The perimiter is equal to the length of string). The area would be. This seems simple enough. We impose our constraint to write. Index] C...
[Index] Calculus in a Single Variable | My Math Blog
https://pqnelson.wordpress.com/2013/10/26/index-calculus-in-a-single-variable
A topnotch WordPress.com site. Index] Calculus in a Single Variable. October 26, 2013. Differential Calculus in a Single Variable. Using big O notation. Line Tangent to a Curve. Tangent Lines as Linear Approximations. Some Useful Trigonometric Limits. The inverse function to the exponential mapping. The First Derivative Test. An example optimizing a rectangle’s area. Curve Sketching (General Scheme). L’Hopital’s Rule for Limits. Differentiation Technique #1: Logarithmic Differentiation. You are commentin...
Contents | My Math Blog
https://pqnelson.wordpress.com/contents
A topnotch WordPress.com site. I realize a blog format isn’t ideal for writing mathematical notes, especially if I need to recall something I wrote about ages ago. So this page just keeps track of the material I’ve written about. 11 Calculus in a Single Variable. Including elementary algebra and naive set theory. Analytical Table of Contents. Calculus in a Single Variable. Specifically their convergence or divergence. Series Convergence: What Does It Mean? The Definition of Convergence for Series. Fill i...
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Frank J. Matcha - Creative Marketing & Design - Atlanta, GA
MARKETING and DESIGN EXTRAORDINAIRE ATLANTA, GA. Accept the challenges so that you can feel the exhilaration of victory. George S. Patton. I am an energetic, driven professional with over a decade of marketing and design experience, specializing in digital and print media including web design, print media and business development. I continue to educate myself in these industries as well as new marketing strategies, design trends, and new technologies. I aspire to be better. Graphic and Print Design.
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Frank Maters | Audiovisueel Portfolio
Opnames voor Eindfilm Arno. Van je hobby je werk maken, het bestaat ècht. Leuk dat je er bent en welkom op mijn website! Hier vindt je mijn portfolio, blog and andere aan mij gerelateerde zaken. Is dit je eerste bezoek? Onderstaande optie is dan misschien een goed begin. De laatste toevoegingen aan mijn portfolio worden hier weergegeven. Officiele teaser trailer – Limbo de film. Poster – Limbo de film (Limbo the movie). Limbo de film – Crowdfund teaser. De crowdfund teaser van mijn korte film Limbo.
Memorias, frases, vida...
Memorias, frases, vida. Domingo, 18 de enero de 2009. Esta frase fue la frase de mi fin de semana, y no viene de un gran autor, de un Best Seller. viene de un Doctor de la zona de Turrialba, un doctor en todo el sentido de lo que encierra esa palabra. De una persona que me demostró que es posible burlarse del sistema, salir adelante con todo el batallón de broncas diarias y ser un profesional. Mientras uno madruga, otro no duerme", "Cuando uno llora, otro vende pañelos". Creo que estudiar es un sacrifici...
frankmath | Just another WordPress.com weblog
Just another WordPress.com weblog. A simple proof of the Young Inequality. March 22, 2012. Be positive real numbers. Assume further that. The following inequality is called the Young inequality. Are nonzero, we can divide both side of the above inequality by. And obtain the following equivalent form:. Let us define a new variable. We can see that. Thus the inequality can be rewritten as. Let us define a function. If we can show that for any. We can see that. Is the only critical point of the function.
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Frank Matin Lawrence Paintings. Abstract Paintings in Acrylic.
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Awards on Pixoto.com. Awards on Viewbug.com. Even though I design websites, the decision was made to keep this website to a minimum. This allows the artwork to do the talking. I hope you enjoy the pictures! Why I Take Pictures. I hope you enjoy seeing through my eyes and lens for a moment or two! Be sure to look at my Portfolio. I just called him Dad. My Awards on Viewbug.com. A Photo How To by Frank - Beginners Guide to Depth of Field. Recent Awards on Pixoto.com Awards. Your Email : *.
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Bíblia Católica de Jerusalém. O Sacrifício de Abraão. Gênesis - 22, 1-19* *O sacrifício de Abraão* *(¹)* - Depois desses acontecimentos, sucedeu que Deus pôs Abraão à prova e lhe disse: "Abraão! 178;) *Ele res. Em busca da Sabedoria personifica de Iahweh, Jesus Cristo. Siga-me os bons! Padre católico é decapitado por islamistas (Vídeo). Prezados leitores, há muito tempo não venho por aqui, Mas hoje resolvi fazer este post, pois achei que todos deveriam ficar sabendo desta notícia tão trist. Perdoados no ...
