 We have previously mentioned how it's best to start each sentence with words instead of mathematical symbols It's even better to start each clause in a sentence with words instead of symbols If one does not then you can end up getting a clause that ends with like a mathematical Expression, but then it's separated by a comma Then if you start the next clause with a mathematical expression or symbols of some kind it can kind of get Congested and kind of clumpy and it becomes less clear because as things as the mathematical symbols blur together It can very much confuse the reader So to strengthen the principle be introduced earlier We're actually going to follow the convention that we should separate all mathematical symbols and expressions with words So when you look at the sentence because x squared minus one equals zero x equals one or x equals negative one Well, you could say that we really should add some like English some words there to kind of spread it out and make it easier to digest for the reader So instead we could say something like because x squared minus one equals zero. It follows that x equals one or x equals negative one just that extra little bit of words just helps with the clarity so much You can say something like it follows that or we have or it is seen There's a lot of things you could say put your own style, but put something to just separate the math Just to make it more digestible for the reader Another example unlike a union B a intersect B equals the empty set Without the extra English it can be somewhat confusing or like okay because oftentimes when we're writing like mathematics We sometimes only put commas between mathematical symbols. We don't even put the word and so it's like is this is this suggesting like Unlike both of these things like the break putting some words in there can help with a lot with that So it would be better to write something like unlike a union B the set a intersect B Equals the empty set that can improve your your writing dramatic is just following that simple Writing tip that we saw in this video now that brings us to the end of lecture 18 Thanks for watching if you learned or liked anything in these videos Please hit the like button Subscribe to the channel to see more videos like this in the future Share these videos with friends or colleagues so they can benefit from them too And if you have any questions feel free to post them in the comments below and I will answer them as soon as I can