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Further, notice that the ideal codeword length for a was 0.5 bits, and the ideal codeword length for a a was 1 bit. Ideal codeword lengths add, even when they’re fractional! So, if we communicate a lot of events at once, the lengths will add.

There is a very real sense in which one can have fractional numbers of bits of information, even if actual codes can only use whole numbers.

(In practice, people use particular coding schemes which are efficient to different extents. Bamboo Avenge 06M Womens Braided Lace Wrapped Ankle Bootie Taupe C8KMHA9Wy0
, which is basically the kind of code we've sketched out here, doesn't handle fractional bits very gracefully -- you have to group symbols, like we did above, or use more complicated tricks to approach the entropy limit. DailyShoes Womens Fashion Lace Up Round Toe Ankle High Oxford Wedge Bootie Green Tan Pu JgMwNjTyu
is a bit different, but elegantly handles fractional bits to be asymptotically optimal.)

If we care about communicating in a minimum number of bits, these ideas are clearly fundamental. If we care about compressing data, information theory addresses the core questions and gives us the fundamentally right abstractions. But what if we don’t care – are they anything other than curiosities?

Ideas from information theory turn up in lots of contexts: machine learning, quantum physics, genetics, thermodynamics, and even gambling. Practitioners in these fields typically don’t care about information theory because they want to compress information. They care because it has a compelling connection to their field. Quantum entanglement can be described with entropy. 9 Many results in statistical mechanics and thermodynamics can be derived by assuming maximum entropy about the things you don’t know. 10 A gambler’s wins or losses are directly connected to KL divergence, in particular iterated setups. 11

Information theory turns up in all these places because it offers concrete, principled formalizations for many things we need to express. It gives us ways of measuring and expressing uncertainty, how different two sets of beliefs are, and how much an answer to one question tells us about others: how diffuse probability is, the distance between probability distributions, and how dependent two variables are. Are there alternative, similar ideas? Sure. But the ideas from information theory are clean, they have really nice properties, and a principled origin. In some cases, they’re precisely what you care about, and in other cases they’re a convenient proxy in a messy world.

Machine learning is what I know best, so let’s talk about that for a minute. A very common kind of task in machine learning is classification. Let’s say we want to look at a picture and predict whether it’s a picture of a dog or a cat. Our model might say something like “there’s a 80% chance this image is a dog, and a 20% chance it’s a cat.” Let’s say the correct answer is dog – how good or bad is it that we only said there was an 80% chance it was a dog? How much better would it have been to say 85%?

You mean to tell me that review isn’t real?

Foul language is an easy way to get a review removed for a T.O.S. violation. If they are calling people names or using profanity, these can be reported and removed.

Foul language is an easy way to get a review removed

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If you cannot have a review removed by the reviewer or for T.O.S., then replying may be your only other option.

1. If the reviewer sounds like a whiner, completely unreasonable or says something that makes them seem stupid, don’t reply. People will get it and ignore their review.

People will get it and ignore their review.

Note: this is where the “ helpful ” and “ not helpful ” buttons on most review sites come in. Click on “not helpful” and you can encourage others people you know to do the same. When you ask other people to do this, make sure they don’t all do it once! T he review site will detect this and ignore them.

helpful not helpful make sure they don’t all do it once! T

2. If you have proof that the review is false, post it in a way that seems factual and not emotional.

Do this:

“Our supplier of ice cream is Tillamook Creamery and you can visit their website to see the ingredients are all natural.”

Not that:

“You obviously don’t know your ass from ice cream because we use nothing but the best, you troll!!!1!!”

3. If the person never stepped foot in your store, say that.

“Debbie D. is neither a current or past customer of our store. This is a fabrication.”

As I said earlier, legal action is unlikely to help in most cases. If you have proof that someone or a group of people at a competing business are conspiring to ruin your business, you may be able to use legal action to stop them.

The first step would be to get legal advice from an attorney. Make sure they are very familiar with the Internet and technology. A misrepresentation of the technology can just end up making you and your business look worse.

The first step would be to get legal advice from an attorney.

The first step usually is to send a cease and desist letter (also known as an “infringement letter” or “demand letter”) telling them that they need to stop and remove all negative reviews from the listed accounts or face future legal action.

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