![]() However, if you know the file is an audio file you can compress it using FLAC instead of some generic compressor. All modern compressors will compress a file close to this limit. This limit depends on the entropy of the file. The maximum compression of a file is dictated by the Shannon's source coding theorem which sets an upper limit for how well a compression algorithm can compress a file. However, you probably know it from compression. It might sound counter intuitive that entropy depends on how you look at the problem. Therefore, the two images do not have the same entropy. , X_B=x_B) \sim 1/N^B \rightarrow H_$ is the same value. ![]() gray-scale), but how should one extend it in a statistically correct way to multiple bands? For example, for 2 bands, should one base oneself on $(X_1,X_2)$ and thus on PMF using $P(X_1=x_1,X_2=x_2)$? If one has many ($B$>2) bands then $P(X_1=x_1. There are two problems with this definition: Where $K$ is the number of gray levels and $p_k$ is the probability associated with gray level $k$. One intuitive approach is to consider the image as a bag of pixels and compute After the reaction, the two are bonded together and can't float around freely from one another.What is the most information/physics-theoretical correct way to compute the entropy of an image? I don't care about computational efficiency right now - I want it theoretically as correct as possible. In other words the N 2( g) used to float around independently of the H 2 gas molecules. This is expected because we are decreasing the number of gas molecules. It would appear that the process results in a decrease in entropy - i.e. \įrom the balanced equation we can write the equation for ΔS 0 (the change in the standard molar entropy for the reaction): As with other calculations related to balanced equations, the coefficients of each component must be taken into account in the entropy calculation (the n, and m, terms below are there to indicate that the coefficients must be accounted for): The entropy change in a chemical reaction is given by the sum of the entropies of the products minus the sum of the entropies of the reactants.
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