If this post was helpful, share it with your friends! And if you want to practice using the symbols greater than, less than and equal to, subscribe to Smartick for a free trial. To which side does the large opening of the symbol face? To 100, because 100 is greater than 20. Copy Less Than or Equal To Symbol Text Copy The easiest way to get the Less Than or Equal To Symbol text is to copy and paste it wherever you need it. This symbol is the less than symbol with a horizontal line under it. Three is greater than two, so the large opening of the symbol faces three and the little point faces the two. ‘Less Than or Equal To’ () is a symbol that means that something is either greater Than or Equal To another thing. You likely need more context to how large x needs to be for a particular application.Today we will look at the symbols = > ) and “less than” ( 2 The symbol for the less than or equal to sign is and the greater than or equal sign to is indicated by. The sine approximation is even better, with error on the order of x³.īut if an approximation holds for x ≫ 1, there’s often an implicit asymptotic series in the background, and these are more subtle. That’s the case in our square root approximation above. If an approximation holds for | x| ≪ 1, there’s often an implicit power series in the background, and the error is on the order of x². The equivalency symbol is used when two figures are equal. It’s often harder to tell from context when something is large than when it is small. To compare any two figures the equivalency and inequality symbols are used. The error in the example is more than 30,000, but this value is small relative to 10! = 3,628,800. The relative error is small, not the absolute error. The greater than or equal to is a comparison or logical operator that helps compare two data cells of the same data type. Note that the approximation error above is small relative to the exact value. For instance, if n = 10, the approximation above has an error of less than 1%. For example, Stirling’s formula for factorials saysįor n ≫ 1. Sometimes you see something like n ≫ 1 to indicate that n must be large.
How small is small enough? The post explains how to know. A lot of people memorize “You can replace sin θ with θ for small angles” without thoroughly understanding what this means. If θ is small, the error in the approximation above is very small.Ī few years I wrote a 700-word blog post unpacking in detail what the previous sentence means. Rather than saying a variable is “small,” we might say it is much less than 1. The ratio b/a = 0.03, and your error should be small relative to 0.03, so the approximation above should be good enough. Suppose you need to know √103 to a couple decimal places. If, in your context, you decide that b/ a is small, the approximation error will be an order of magnitude smaller. So when is | b| much less than a? That’s up to you. You might see somewhere that for | b| ≪ a, the following approximation holds: All jargon is like this.īelow are some examples of ≪ and ≫ in practice. You have to know the context to understand how to interpret them, but they’re very handy if you are an insider. The wide open side of the sign always faces the number with the higher. The symbols ≪ and ≫ can make people uncomfortable because they’re insider jargon. Greater than and less than symbols are used to show the relationship between two numbers. Sometimes you’ll see ≫, or more likely > (two greater than symbols), as slang for “is much better than.” For example, someone might say “prototype > powerpoint” to convey that a working prototype is much better than a PowerPoint pitch deck. Basic math symbols, not equal sign, inequality, approximately equal, approximation > strict inequality, greater than <, strict inequality, less than.
Is 5 much less than 7? It is if you’re describing the height of people in feet, but maybe not in the context of prices of hamburgers in dollars. Here’s a little table showing how to produce the symbols. The symbol ≪ means “much less than, and its counterpart ≫ means “much greater than”. The symbols ≪ and ≫ may be confusing the first time you see them, but they’re very handy.
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