کتاب‌خانه دیجیتال خواجه‌نصیرالدین‌طوسی – Telegram
کتاب‌خانه دیجیتال خواجه‌نصیرالدین‌طوسی
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شبکه داخلی دانشکده فیزیک

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Prof. Harry L. Swinney: Emergence of order in physical, chemical, and biological

(‌Seminars & Talks => Complex Systems)

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Forwarded from Complex Systems Studies
🌀 3 Lectures by Simon DeDeo (simon@santafe.edu) during the Santa Fe Institute 2012 Complex Systems Summer School, an interdisciplinary course for graduate and postdoctoral students in the mathematical, biological, cognitive and social sciences.

🎞 Lecture 1: Coarse-Graining, Renormalization
🔗 http://www.aparat.com/v/v7QNe

🎞 Lecture 2: Effective Theories for Computational Systems
🔗 http://www.aparat.com/v/hH6me

🎞 Lecture 3: Symmetry Breaking and Non-Equilibrium Phenomena
🔗 http://www.aparat.com/v/IlENS
🌀 3 Lectures by Simon DeDeo during the Santa Fe Institute 2012 Complex Systems Summer School

/Seminars & Talks/Complex Systems/Emergence

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Classical Mechanics

(‌BSc - 1st Year)

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دوره مکانیک آماری (۱و۲) - مهران کاردر MIT هم‌اکنون به روی شبکه داخلی با کیفیت بالا
goo.gl/4tsXdh

(‌MS)
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دوره مکانیک آماری (۱و۲) - مهران کاردر MIT هم‌اکنون به روی شبکه داخلی با کیفیت بالا
goo.gl/4tsXdh

(‌MS)
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دوره فیزیک حالت جامد دانشگاه آکسفورد هم اکنون به روی شبکه داخلی دانشکده قرار دارد.

🔗 goo.gl/GAoIep

(‌‌BS => 3rd & 4th Year)

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مجموعه «The Theoretical Minimum» روی شبکه‌ داخلی قرار دارد.
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(‌‌BS => 3rd & 4th Year)

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کتاب‌خانه دیجیتال خواجه‌نصیرالدین‌طوسی
کورس‌های مربوط به سیستم‌های پیچیده مناسب برای مقطع کارشناسی که روی سرور قرار دارند. (‌BS - 3rd Year) ⚡️ 192.168.80.180:8080 Username: physics Password: quantum
⚡️ "Random Walks" Tutorial
Lead instructor: Sid Redner

🔗 https://www.complexityexplorer.org/tutorials/46-random-walks

🔹 Syllabus
Introduction
Root Mean Square Displacement
Role of the Spatial Dimension
Probability Distribution and Diffusion Equation
Central Limit Theorem
First Passage Phenomena
Elementary Applications


📌 About the Tutorial:

The goal of this tutorial is to outline some elementary, but beautiful aspects of random walks. Random walks are ubiquitous in nature. They naturally arise in describing the motion of microscopic particles, such as bacteria or pollen grains, whose motion is governed by being buffeted by collisions with the molecules in a surrounding fluid. Random walks also control many type of fluctuation phenomena that arise in finance.

The tutorial begins by presenting examples of random walks in nature and summarizing important classes of random walks. We'll then give a quantitative discussion of basic properties of random walks. We'll show that the root mean-square displacement of a random walk grows as the square-root of the elapsed time. Next, we will determine the underlying probability distribution of a random walk. In the long-time limit, this distribution is independent of almost all microscopic details of the random-walk motion. This universality is embodied by the central-limit theorem. In addition to presenting this theorem, we'll also discuss the anomalous features that arise when the very mild conditions that underlie the central-limit theorem are not satisfied. Finally, we will show how to recover the diffusion equation as the continuum limit of the evolution equation for the probability distribution of a random walk.

We will then present some basic first-passage properties of random walks, which address the following simple question: does a random walk reach a specified point for the first time? We will determine the first-passage properties in a finite interval; specifically, how long does it take for a random walk to leave an interval of length L, and what is the probability to leave either end of the interval as a function of the starting location. Finally, we'll discus the application of first-passage ideas to reaction-rate theory, which defines how quickly diffusion-controlled chemical reactions can occur.

Note that Complexity Explorer tutorials are meant to introduce students to various important techniques and to provide illustrations of their application in complex systems. A given tutorial is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.

This tutorial is designed for more advanced math students. Math prerequisites for this course are an understanding of calculus, basic probability, and Fourier transforms.
Channel name was changed to «کتاب‌خانه دیجیتال خواجه‌نصیرالدین‌طوسی»
ویدیو ارائه عباس کریمی با موضوع:

Inferring Pairwise Interactions from Biological Data Using Maximum-Entropy Probability Models

روی شبکه داخلی.
دوره Vector and Matrix Algebra هم اکنون بر روی کتاب‌خانه دیجیتال خواجه‌ نصیر‌الدین طوسی قرار دارد.

(‌‌BS => 2nd Year)

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دوره "داده‌کاوی" هم اکنون بر روی کتاب‌خانه دیجیتال خواجه‌ نصیر‌الدین طوسی قرار دارد.

(‌‌Graduate => Data mining_Maktabkhooneh)

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