jslu + math   81

 « earlier
A Pragmatic Introduction to Signal Processing, with applications in scientific measurement
@CourseOutline  @Concept  @Example  Math  Engineering  Tutorial
19 days ago by jslu

@Project  @CourseOutline  Literature  Science  FreeOfCharge  Tutorial  Law  Art  History  Politics  Sociology  Math  Engineering
march 2019 by jslu
[1807.08416] Some Fundamental Theorems in Mathematics
An expository hitchhikers guide to some theorems in mathematics. - History and Overview
january 2019 by jslu
The Scientist & Engineer's Guide to Digital Signal Processing, 1999 | Education | Analog Devices
This book provides a practical introduction to Digital Signal Processing. Covering a wide range of topics, including linear systems, discrete fourier transforms, fast fourier transforms, digital filters, this book is an ideal introductory text for those new to DSP, and an excellent reference for more experienced users.
january 2019 by jslu
Why is Maxwell's Theory so hard to understand?
The modern view of the world that emerged from Maxwell's theory is a world with two layers. The first layer, the layer of the fundamental constituents of the world, consists of fields satisfying simple linear equations. The second layer, the layer of the things that we can directly touch and measure, consists of mechanical stresses and energies and forces. The two layers are connected, because the quantities in the second layer are quadratic or bilinear combinations of the quantities in the first layer. To calculate energies or stresses, you take the square of the electric field-strength or multiply one component of the field by another. The two-layer structure of the world is the basic reason why Maxwell's theory seemed mysterious and difficult. The objects on the first layer, the objects that are truly fundamental, are abstractions not directly accessible to our senses. The objects that we can feel and touch are on the second layer, and their behaviour is only determined indirectly by the equations that operate on the first layer. The two-layer structure of the world implies that the basic processes of nature are hidden from our view.
@Article  @Research  Math  WorldView
january 2019 by jslu
Seeing Theory - A visual introduction to probability and statistics
Seeing Theory was created by Daniel Kunin while an undergraduate at Brown University. The goal of this website is to make statistics more accessible through interactive visualizations
@Site  @Project  @Concept  @CourseOutline  Math  Problem-solving  InterpersonalCommunication  MeaningManagement  UnexpectednessUncertaintyAndImpermanence  Tutorial
december 2018 by jslu
B.S. in Artificial Intelligence - Curriculum | Carnegie Mellon School of Computer Science
BSAI majors will take courses in math and statistics, computer science, AI, science and engineering, and humanities and arts. There's also room built into the curriculum for academic exploration via electives. Here's how the curriculum breaks down.
@CourseOutline  @Reference  AI  MachineLearning  Math  Interdisciplinarity  Engineering
september 2018 by jslu
A First Course in Differential Equations for Scientists and Engineers
These are notes for an introductory one semester course in differential equations originally compiled for Summers 2014-18.
@CourseOutline  Math  Tutorial
september 2018 by jslu
Foundations of Machine Learning
GET A DEEP UNDERSTANDING OF THE CONCEPTS, TECHNIQUES AND MATHEMATICAL FRAMEWORKS USED BY EXPERTS IN MACHINE LEARNING
@CourseOutline  @Video  @Concept  MachineLearning  Math  Software  Engineering  Business  Framework  Tutorial
july 2018 by jslu
[Github] hellerve/programming-talks
There are talks on programming languages specifics as well as a more general section I call "theory". But don't expect to always get theoretical computer science for every talk there; most of them are on the architecture and design of software.
@Project  @Reference  @Video  Software  Programming  Language  OOAD  Functional  DistributedSystem  SystemArchitecture  @Concept  MachineLearning  Hardware  DevOps  Research  Math
february 2018 by jslu
Mathematics has a reading protocol all its own, and just as we learn to read literature, we should learn to read mathematics.  Students need to learn how to read mathematics, in the same way they learn how to read a novel or a poem, listen to music, or view a painting.  Ed Rothstein’s book, Emblems of Mind, a fascinating book emphasizing the relationship between mathematics and music, touches implicitly on the reading protocols for mathematics.
@Article  @HOWTO  @Example  Math  InterpersonalCommunication  Symbolism  Logic  Problem-solving
december 2017 by jslu
jwasham/coding-interview-university: A complete computer science study plan to become a software engineer.
I originally created this as a short to-do list of study topics for becoming a software engineer, but it grew to the large list you see today. After going through this study plan, I got hired as a Software Development Engineer at Amazon! You probably won't have to study as much as I did. Anyway, everything you need is here.
@Project  @CourseOutline  @Reference  Career  Software  Engineering  Programming  Language  Problem-solving  Math  Logic  Learning  Computation  Education
december 2017 by jslu
Random: Probability, Mathematical Statistics, Stochastic Processes
Random (formerly Virtual Laboratories in Probability and Statistics) is a website devoted to probability, mathematical statistics, and stochastic processes, and is intended for teachers and students of these subjects. The site consists of an integrated set of components that includes expository text, interactive web apps, data sets, biographical sketches, and an object library. Please read the Introduction for more information about the content, structure, mathematical prerequisites,...
@Project  @Reference  @CourseOutline  Math  Education  Teaching  UnexpectednessUncertaintyAndImpermanence  Tutorial
may 2017 by jslu
Brilliant
Effective learning is interactive, not passive. Brilliant helps you master concepts in math, science, and engineering by solving fun, challenging problems.
@Site  @Service  @CourseOutline  Math  Science  Learning  Education  ExperientialLearning  Tutorial
may 2017 by jslu
Deep Learning in a Nutshell – what it is, how it works, why care?
the big challenges with traditional machine learning models is a process called feature extraction.. Deep learning is one of the only methods we can circumvent the challenges of feature extraction.. because deep learning models are capable of learning to focus on the right features by themselves, requiring little guidance from the programmer.. Finding out what those weights should be is the hard part of the problem, and that's done through a process called training.
@Article  @Concept  @HOWTO  @Example  Problem-solving  AI  Learning  BigData  CloudComputing  Brain  @Research  Training  Math  productivity
march 2017 by jslu
The Map of Mathematics: Animation Shows How All the Different Fields in Math Fit Together Open Culture
Hence we now have The Map of Mathematics. Created by physicist Dominic Walliman, this new video explains “how pure mathematics and applied mathematics relate to each other and all of the sub-topics they are made from.”
@Video  @CourseOutline  @Reference  @Research  Math  WorldView  Learning  HabitRoutineAndPattern  History
february 2017 by jslu
[1612.09375v1] Basic Category Theory
This short introduction to category theory is for readers with relatively little mathematical background. At its heart is the concept of a universal property, important throughout mathematics. After a chapter introducing the basic definitions, separate chapters present three ways of expressing universal properties: via adjoint functors, representable functors, and limits. A final chapter ties the three together.
@Article  @CourseOutline  @Concept  @Example  Math  HabitRoutineAndPattern  Tutorial
january 2017 by jslu
[MIT] Interactive Tutorial of the Sequent Calculus
This interactive tutorial will teach you how to use the sequent calculus, a simple set of rules with which you can use to show the truth of statements in first order logic. It is geared towards anyone with some background in writing software for computers, with knowledge of basic boolean logic.
@Article  @CourseOutline  @Concept  @Example  Logic  Math  Tutorial
january 2017 by jslu
The Probability and Statistics Cookbook
The probability and statistics cookbook is a succinct representation of various topics in probability theory and statistics. It provides a comprehensive mathematical reference reduced to its essence, rather than aiming for elaborate explanations.
november 2016 by jslu
This guide was written with the calculus student in mind, though the tips are applicable to many undergraduate math classes. In the type of course this guide addresses, you will be successful if and only if you can do well on the exams. So essentially, this guide gives tips for doing well on your math exams. ... Listed below are my study suggestions broken up into things to do daily, weekly, before, during, and after an exam to ensure you do well.
@HOWTO  Math  Learning  Tip
november 2016 by jslu
[Existential Type] The Holy Trinity
Imagine a world in which logic, programming, and mathematics are unified, in which every proof corresponds to a program, every program to a mapping, every mapping to a proof! Imagine a world in which the code is the math, in which there is no separation between the reasoning and the execution, no difference between the language of mathematics and the language of computing.
@Article  @Concept  Computation  Logic  Language  MeaningManagement  Math
november 2016 by jslu
Eigenvectors and Eigenvalues explained visually
Eigenvalues/vectors are instrumental to understanding electrical circuits, mechanical systems, ecology and even Google's PageRank algorithm. Let's see if visualization can make these ideas more intuitive.
@Article  @Concept  @CourseOutline  @Example  Math  SensoryStimulus  MeaningManagement  Tutorial
september 2016 by jslu
[Matthew Kirk] Why did I write a Machine Learning Book in Ruby?
This is the network effect. Basically the tool is useless unless people use it. But the network effect doesn’t apply to coding. Sure there is some benefit to being able to google the solution to a particular nltk error code you are getting. But Ruby has similar tools as well. The main difference is that you don’t get everything in one easy-install command. For instance Ruby has libsvm, ruby-fann (neural networks), tlearn (neural networks), ai4r, algorithms (k-d tree to do KNN), bayes_motel, NArray, NMatrix (new but promising), and others. If you really want more you can use JRuby to get into the massive amount of Java code that sits out there."
@Article  @Concept  @Reference  Ruby  BigData  AI  Learning  Math  Software  Programming  Language  Framework  Problem-solving
january 2016 by jslu
[TechOrange] 從外太空懂到內子宮！ 37 個免費線上課程網站打破一成不變的生活

@Reference  @CourseOutline  Software  Programming  WebDesign  Mobile  BigData  Framework  Math  Language  SocialMedia  Music  FreeOfCharge
december 2015 by jslu
[嫁給RD的 UI Designer] 怎麼和 RD 配合製作 UI Animation

@Article  @Reference  @HOWTO  UI  Animation  Design  InterpersonalCommunication  Interdisciplinarity  Prototyping  Math
august 2015 by jslu
[iThome] 你能學會多少技術？
「辨識問題」是一個很重要的能力，不少人應該都有這類經驗：明明在你眼中顯而易見的問題，為何有些程式新手就是看不出問題；學的技術或理論越多，就要能辨識更多的問題，也才越能基於廣博知識來解決問題。 ... 時時承認「學不了所有的東西」，這樣我就能知道該學習的是辨識問題與面對失敗，而不是學習所有的技術，無論那是在硬體上的技術，或者是軟體！
@Article  @HOWTO  @Concept  Problem-solving  Learning  LearningFromFailure  ExperientialLearning  PersonalGrowth  Investment  Software  Hardware  Programming  Math  Language  Career
august 2015 by jslu
[IMHO, 黑貘來說] 成為資料工程師所須要學習的 28 堂課

@Article  @CourseOutline  @Reference  BigData  Database  Math  Software  Engineering  UI  UX  Presentation  Research  WebDesign  KnowledgeManagement
october 2014 by jslu
[iThome] 臺灣資料科學家直擊：Gogolook如何貫徹資料科學精神讓LINE母公司願意花6億收購

@Article  @Concept  @HOWTO  Entrepreneurship  BigData  Mobile  CrowdSourcing  Learning  Math  Feedback-receiving  Competition  ExperientialLearning  Business  ValuationAndValueAdding
september 2014 by jslu
[iThome] 臺灣資料科學家直擊：當機器學習遇上大資料技術

@Article  @Comparison  @Concept  @Research  BigData  CloudComputing  AI  Math  Computation  InterpersonalCommunication  DataSync  Fault-tolerance  Scalability  SystemArchitecture
september 2014 by jslu
[Pragmatic Perspectives] Becoming a Data Scientist - Curriculum via Metromap ← Pragmatic Perspectives
Data Science, Machine Learning, Big Data Analytics, Cognitive Computing …. well all of us have been avalanched with articles, skills demand info graph’s and point of views on these topics (yawn!). One thing is for sure; you cannot become a data scientist overnight. Its a journey, for sure a challenging one. But how do you go about becoming one? Where to start? When do you start seeing light at the end of the tunnel? What is the learning roadmap? What tools and techniques do I need to know? How will you know when you have achieved your goal?"
@Article  @Graph  @HOWTO  BigData  Math  Programming  DataSearch  Learning  Software  Computation  Interdisciplinarity  AI  Language  PersonalGrowth
august 2014 by jslu
[Wikipedia] Support vector machine
In machine learning, support vector machines are supervised learning models with associated learning algorithms that analyze data and recognize patterns, used for classification and regression analysis. ... a support vector machine constructs a hyperplane or set of hyperplanes in a high- or infinite-dimensional space, which can be used for classification, regression, or other tasks."
@Wikipedia  AI  Learning  Math  UnexpectednessUncertaintyAndImpermanence  Software  Computation  MeaningManagement  HabitRoutineAndPattern  ExperientialLearning
august 2014 by jslu
[Setosa] Markov Chains - A visual explanation by Victor Powell
Markov chains, named after Andrey Markov, are mathematical systems that hop from one "state" (a situation or set of values) to another. ... on top of the state space, a Markov chain tells you the probabilitiy of hopping, or "transitioning," from one state to any other state ... real modelers don't always draw out Markov chain diagrams. Instead they use a "transition matrix" to tally the transition probabilities. Every state in the state space is included once as a row and again as a column, and each cell in the matrix tells you the probability of transitioning from its row's state to its column's state. So, in the matrix, the cells do the same job that the arrows do in the diagram. ... One use of Markov chains is to include real-world phenomena in computer simulations."
@Article  @Graph  @Concept  @Example  Math  UnexpectednessUncertaintyAndImpermanence  HabitRoutineAndPattern  Computation  Google  DataSearch
july 2014 by jslu
[陳鍾誠的網站] 免費電子書 -- 機率與統計 (使用 R 軟體)

@eBook  @CourseOutline  Math  Software  Programming  Language  ExperientialLearning  Computation  AI  Learning  UnexpectednessUncertaintyAndImpermanence
july 2014 by jslu
[陳鍾誠的網站] 免費電子書 -- R 統計軟體

@eBook  @CourseOutline  Math  Software  Programming  Language  Tutorial
july 2014 by jslu
[知乎專欄] 如果看了這篇文章你還不懂傅里葉變換，那就過來掐死我吧 - 與時間無關的故事

@Article  @Concept  @Example  Math  Engineering  Tutorial
june 2014 by jslu
[CodeData] MySQL 超新手入門（4）運算式與函式 by Michael

@Article  @HOWTO  @Example  Database  Language  Software  Math  Tutorial
january 2014 by jslu
[Inside] 對九個超級程式設計師的採訪

@Article  Celebrity  Software  Programming  Engineering  Teamwork  InterpersonalCommunication  Writing  Problem-solving  Math  Education  Learning  WebApp  Ruby  Editor  SourceCodeManagement
january 2014 by jslu
Data Structure Visualization
The best way to understand complex data structures is to see them in action. We've developed interactive animations for a variety of data structures and algorithms. Our visualization tool is written in javascript using the HTML5 canvas element, and run in just about any modern browser -- including iOS devices like the iPhone and iPad, and even the web browser in the Kindle!"
@Project  @Example  @HOWTO  Math  Computation  Programming  Software  Animation  JavaScript  WebDesign  Presentation
december 2013 by jslu
[Sijin Joseph] Programmer Competency Matrix
Note that the knowledge for each level is cumulative; being at level n implies that you also know everything from the levels lower than n."
Software  Programming  KnowledgeManagement  Database  Agility  Math  Framework  SystemArchitecture  PersonalGrowth  Integration  API  Engineering  InterpersonalCommunication  Career  HabitRoutineAndPattern  Language  Problem-solving  @Comparison  Productivity
october 2013 by jslu
iOS 7 中的動態焦點設計及 Parallax 空間動態中的速率曲線分析 | T客邦 - 我只推薦好東西

Software  Animation  SensoryStimulus  UI  Math  @Example  Feedback-receiving  Self-awareness  Design  AttentionManagement  3D  UX  @Article
october 2013 by jslu
[Ant] Best practicing for password protection

Tutorial  Software  Programming  Math  @Example  Security  Computation  @Concept  WebDesign  @Research  @Comparison  @Article  @HOWTO
october 2013 by jslu
[iThome] 佇列是平衡服務品質及成本的關鍵

Software  UnexpectednessUncertaintyAndImpermanence  Math  CloudComputing  Fault-tolerance  @Example  SystemArchitecture  Integration  Engineering  InterpersonalCommunication  @Concept  @Comparison  Balance  DataSync  @Article  MultiLayeredStructure  ConflictResolution  Paradox  AssetAllocation  @HOWTO  Tip  Concurrency
september 2013 by jslu
[有物報告] 動畫角色栩栩如生：結合肢體與科技的創作

@Article  @Example  @Concept  @HOWTO  3D  Filmmaking  Hardware  Math  Tutorial
january 2013 by jslu
[iCoding] 「資料探勘」幼幼班
「資料探勘」是一個「嘗試從一大組資料當中找出一些特徵樣式（pattern）的過程」。 ... 資料探勘強調的是「探勘」或是「探索未知（detecting something new）」這件事。很多人誤以為資料探勘包括任何形式的大規模（尤其是強調巨量，例如大資料 - big data）的資料或資訊的處理過程，例如一些資料收集、擷取、放置、分析與統計分析，甚至人工智慧、機器學習、Business Intelligence、電腦輔助決策系統等，都不是資料探勘。 ... 另外，資料探勘和「應用」資料探勘技術其實是兩件事情，一個是對未知模型的探索，另一個是拿已知的模型進行應用，一個是模型創造者，一個是模型使用者，如果沒有切割十分清楚很容易被誤解。"
@Article  @Concept  @Comparison  HabitRoutineAndPattern  Math  BigData  AI
september 2012 by jslu
[SixRevisions] The 960 Grid System Made Easy
This article is for web designers and front-end web developers who are interested in grid-based layout systems but are at a loss on how to decipher them. We’ll focus specifically on the 960 Grid System, but after reading this guide, you’ll find that most of the other grid systems out there are similar and will make much more sense after you understand a few basic principles. ... The 960 Grid System is simply a way to lay out websites using a grid that is 960 pixels wide. The reason it’s 960 pixels wide is because the number 960 makes for a lot of clean divisions utilizing whole numbers when factoring in column widths and margins. And it fits nicely on the majority of screens. ... When you look at the diagrams above, consider each of the dark blue horizontal bars as a CSS class in the 960 Grid System. To create an object in your layout that is the width of one of those bars, you simply assign the proper class to your div–that’s it!"
@Article  @Concept  @Example  @Reference  WebDesign  CSS  Framework  Productivity  Math  Creativity  Tutorial
may 2011 by jslu
[Archifield 建築論壇] 為什麼設計教育必須改變？ - 唐．諾曼

@Article  @Research  Design  Interdisciplinarity  Education  CognitiveScience  CognitiveBias  Science  Math  UX  Self-awareness  Feedback-receiving  Happiness  Art  Industry  Integration  LatentDesire  HumanNature  Programming  InterpersonalCommunication  Prototyping  Adaptability  ProgressiveImprovement  FutureTrend
december 2010 by jslu
[Wikipedia] Gini coefficient
a measure of statistical dispersion developed by the Italian statistician Corrado Gini... It is commonly used as a measure of inequality of income or wealth... When used as a measure of income inequality, the most unequal society will be one in which a single person receives 100% of the total income and the remaining people receive none (G=1); and the most equal society will be one in which every person receives the same percentage of the total income (G=0)."
@Wikipedia  Economics  Finance  Politics  Sociology  Math  IndicatorIndexAndRatio  MShapedSociety
february 2010 by jslu
[Wikipedia] Control engineering
the engineering discipline that applies control theory to design systems with predictable behaviors... It allows one to understand a physical system in terms of its inputs, outputs and various components with different behaviors using mathematical modeling, control it in a desired manner with the controllers designed using control systems design tools, and implement the controller on the physical system employing available technology... Control engineering has diversified applications that include science, finance management, and even human behavior."
@Wikipedia  @Research  Engineering  Feedback-receiving  SystemsTheory  Math  Interdisciplinarity
july 2009 by jslu
[The Biggest Ideas] You Have Three Brains
One thing is clear though: you have three brains. There are three brains nested within your skull: the lizard brain, the dog brain, and the human brain... Consider this: language lies in the human brain, but emotions lie within the separate dog and lizard brains. So the emotions are in a different world from language entirely. Not only that, reason too lives in the new human brain while emotions live in the older brains... The older brains cannot speak. They can only feel and act. This is where the self-contradictory nature of so much human behavior comes from... The way the neo-cortical memory degrades while the limbic memory lasts may also have something to do with the differing ages at which certain human capacities peak... Can we better integrate our three brains? It turns out that meditation integrates the brains. It rewires and harmonizes them."
@Article  @Research  @Example  Brain  Science  Paradox  Language  Irrationality  Emotion  LatentDesire  Integrity  HumanNature  Politics  Leadership  ExperientialLearning  Wisdom  Math  Writing  Music  Philosophy  Meditation  Neuroscience
may 2009 by jslu
[Wikipedia] World view
the framework of ideas and beliefs through which an individual interprets the world and interacts with it... a consistent (to a varying degree) and integral sense of existence and provides a framework for generating, sustaining, and applying knowledge... The language of a people reflects the Weltanschauung of that people in the form of its syntactic structures and untranslatable connotations and its denotations... the fundamental cognitive, affective, and evaluative presuppositions a group of people make about the nature of things, and which they use to order their lives... a framework for generating various dimensions of human perception and experience like knowledge, politics, economics, religion, culture, science, and ethics... A worldview can be considered as comprising a number of basic beliefs which are philosophically equivalent to the axioms of the worldview considered as a logical theory."
@Wikipedia  @Research  WorldView  Belief  PerspectiveAndFraming  Philosophy  CognitiveScience  Language  Consciousness  Culture  Politics  Economics  Subjectivity  Science  Literature  Math  Logic  Globalization  Gödel
may 2009 by jslu
[Computational Complexity] Foundations of Complexity
In the first year of this blog I wrote a series of 'lessons' to give an informal introduction to computational complexity but I never wrote a single post that links to them all."
@Reference  @Column  Computation  Math  Tutorial
may 2009 by jslu
[Wikipedia] Elasticity (economics)
the ratio of the percent change in one variable to the percent change in another variable... a tool for measuring the responsiveness of a function to changes in parameters in a relative way... a popular tool among empiricists because it is independent of units and thus simplifies data analysis."
@Wikipedia  Finance  Economics  SupplyAndDemand  Math  Adaptability  Marginality  ProactiveChange
april 2009 by jslu
Presentation Preparation - TeX4PPT
TeX4PPT is designed following the philosophy of TeXPoint, to enable PowerPoint to typeset sentences and equations using the power of TeX."
Math  Software  Windows  Plug-in  @Project  Presentation  LaTeX  PowerPoint  MSOffice
january 2009 by jslu
[Wikipedia] Infinity
Infinity (symbolically represented with ∞) comes from the Latin infinitas or 'unboundedness.' It refers to several distinct concepts (usually linked to the idea of 'without end') which arise in philosophy, mathematics, and theology."
@Wikipedia  Math  Philosophy  Theology  Logic  Paradox  Intuition  Unlimitedness
august 2008 by jslu
[Wikipedia] The Emperor's New Mind
a 1989 book by mathematical physicist Sir Roger Penrose. Penrose presents the argument that human consciousness is non-algorithmic, and thus is not capable of being modeled by a conventional Turing machine-type of digital computer. Penrose hypothesizes that quantum mechanics plays an essential role in the understanding of human consciousness. The collapse of the quantum wavefunction is seen as playing an important role in brain function."
@Wikipedia  Book  AI  Consciousness  Computation  QuantumPhysics  Science  Philosophy  Math  CognitiveScience  Interdisciplinarity
august 2008 by jslu
[Wikipedia] Empirical limits in science
In philosophy of science the empirical limits of science define problems with observation, and thus are limits of human ability to inquire and answer questions about phenomena. These include topics such as infinity, the future and god."
@Wikipedia  Science  Philosophy  Subjectivity  Math  QuantumPhysics  Logic  Unlimitedness
august 2008 by jslu
[Wikipedia] Chaos theory
chaos theory describes the behavior of certain dynamical systems – that is, systems whose state evolves with time – that may exhibit dynamics that are highly sensitive to initial conditions (popularly referred to as the butterfly effect)"
@Wikipedia  @Research  Math  Science  SystemsTheory  Electronics  Computation
june 2008 by jslu
[Wikipedia] Cognitive science of mathematics
the study of mathematical ideas (concepts) using the techniques of cognitive science. It proposes to ground the foundations of mathematics in the empirical study of human cognition and metaphor, and to analyze mathematical ideas in terms of the human experiences, metaphors, generalizations, and other cognitive mechanisms giving rise to them... If human intuition appears to be inconsistent with formal mathematics, this gives rise to the question of where formal mathematics comes from."
@Wikipedia  @Research  Math  CognitiveScience  Philosophy  Finance  Metaphor  CognitiveBias  Economics  Intuition  Education
may 2008 by jslu
[Wikipedia] Self-reference
Self-reference is possible when there are two logical levels, a level and a meta-level. It is most commonly used in mathematics, philosophy, computer programming, and linguistics. Self-referential statements can lead to paradoxes."
@Wikipedia  @Example  Paradox  Language  Literature  Philosophy  Math  Logic  Computation  Subjectivity  Feedback-receiving  Self
april 2008 by jslu
[Wikipedia] Mathematics
quantity(arithmetic), structure(algebra), space(geometry), change(analysis)
@Wikipedia  @Reference  Math  Research  Science
march 2008 by jslu
[Computational Complexity] Math books you can actually read

@Article  Math  Research  Book  Learning
january 2008 by jslu
[Computational Complexity] Today is Knuth's 70th birthday!!
I want to solve problem X and I'll use whatever math I need to solve it, even if I have to develop it myself."
@Article  Celebrity  Research  Math  Learning
january 2008 by jslu
“古今中外有不少著名的悖論，它們震撼了邏輯和數學的基礎，激發了人們求知和精密的思考...。解決悖論難題需要創造性的思考，悖論的解決又往往可以給人帶來全新的觀念。”
june 2007 by jslu
[石頭閒語] 維根斯坦眼中的數學並非不可言的

@Article  Philosophy  Math  Language  Economics  Unlimitedness  WorldView
june 2007 by jslu
[聽雨塵心＠含藏識] 【數學故事】哥德爾不完備性定理淺釋

@Article  @Research  Gödel  Philosophy  Math  Paradox  AI  Logic  Anecdote  Intuition  Computation  Consciousness  Neuroscience  QuantumPhysics  Interdisciplinarity  SensoryStimulus
june 2007 by jslu
[CCIM－網絡基督使團] 哥德爾不完備性定理(theorem of incompleteness)：人間邏輯與神聖三一邏輯

@Article  Gödel  Christianity  Spirituality  Math  Logic  Paradox  Philosophy  Theology  Self  Language
june 2007 by jslu
[心靈小憩] 試談理性認識的侷限 (之三)

@Article  Gödel  AI  Spirituality  Math  Philosophy  Paradox  Logic  Intuition  QuantumPhysics  CognitiveScience  SystemsTheory  Interdisciplinarity  Unlimitedness  Irrationality
june 2007 by jslu
[Wikipedia] Gödel's incompleteness theorems
two theorems of mathematical logic that state inherent limitations of all but the most trivial axiomatic systems for arithmetic. They state that any effectively generated formal theory in which all arithmetic truths can be proved is inconsistent; hence, any such consistent formal theory that can prove some arithmetic truths cannot prove all arithmetic truths." - 二十世紀最重要的數學定理，影響力橫跨科學與人文，直指人類心靈的內在運作。
@Wikipedia  @Research  Gödel  Math  Philosophy  Logic  Paradox  Spirituality  Computation  AI  Celebrity  Unlimitedness
may 2007 by jslu
Shtetl-Optimized
The Blog of Scott Aaronson
@Blog  @Research  Math  Celebrity
april 2007 by jslu
[Wikipedia] Reductionism

@Wikipedia  Philosophy  HolismAndOneness  Math  Science  SystemsTheory  Cybernetics  Subjectivity
april 2007 by jslu
per page:    204080120160

Copy this bookmark:

description:

tags: