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After using computers for all so many years, for the first time, the Insert key was actually useful when I was editing a file. I always thought the only reason it exists is for causing small headaches when my dumb fingers accidentally touch it.
The key was used when I was editing a string in a binary file, and I wanted to make sure that the offsets of all the contents afterward were not affected.
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break,next, andredoin Ruby
Many languages support breaking out of nested loops, such as Perl, Java, JavaScript, C#, etc. Languages that have gotocan also do this easily. However, in most other languages, it is not easy to break out of nested loops. I want to introduce a way to do this in Ruby.- Categories: programming
- Tags: meta programming, ruby
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Free trade (single good case)
I set up a simple model to determine the production and consumption in free trade between nations.
- Categories: economics
- Tags: global economy, from zhihu
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A measure-theoretic formulation of statistical ensembles (part 2)
For sake of rigor and generalizability, I feel it necessary to try to have a mathematical formulation for statistical ensembles. I chose measure spaces as the underlying mathematical structure of thermal systems and tried to justify the method of statistical ensembles by deducing them from some axioms.
- Categories: physics
- Tags: mathematical physics, statistical mechanics, functional analysis, measure theory, probability, long paper
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Summarizing my methods for studying
I summarized my methods for studying. This can be served as a guide for those who have started learning math and science.
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A measure-theoretic formulation of statistical ensembles (part 1)
For sake of rigor and generalizability, I feel it necessary to try to have a mathematical formulation for statistical ensembles. I chose measure spaces as the underlying mathematical structure of thermal systems and tried to justify the method of statistical ensembles by deducing them from some axioms.
- Categories: physics
- Tags: mathematical physics, statistical mechanics, functional analysis, measure theory, probability, long paper
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The core of a voting system is the intersection of Pareto sets
There is a very neat relation between the core (the set of proposals that defeats every proposal) of a voting system and the Pareto sets of the voters. Suppose there is a voting system of quota , then the core is the intersection of all such sets: the Pareto set of of the voters.
- Categories: economics
- Tags: voting system, preference relation, pareto efficiency
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Relationship between the Gini coefficient and the variance
Both the Gini coefficient and the variance are measures of statistical dispersion. We are then motivated to find the relationship between them. It turns out that there is a neat mathematical relationship between them.
- Categories: economics
- Tags: from zhihu, calculus, probability
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Distinguishing all the letters in handwritten math/physics notes
Personally, I have the demand of handwriting math/physics notes, but an annoying fact about this is that I usually cannot distinguish every letter that may be possibly used well enough. In this article, I will try to settle this problem.
- Categories: misc
- Tags: from zhihu, font, tex, handwriting, long paper
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手纸本
何为手纸本?
- Categories: literature
- Tags: from zhihu, literary composition, short story, chinese
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Introducing bra–ket notation to math learners
Bra–ket notation is a good-looking notation! I am sad that it is not generally taught in math courses. Let me introduce it to you.
- Categories: math
- Tags: from zhihu, quantum mechanics
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