I agree, it's quite OK, but when you come out of algebra 101, you are more used to "commute" and "don't commute" without expressions such as "commute to something". They are known as symbols. When a chief executive substitutes a life sentence for the death sentence handed down by a court, he or she is commuting the original sentence. For example, if the binary operation is matrix multiplication over the set of square matrices of size 2, some elements "commute" (diagonal matrices), while in general 2 matrices will not "commute".Saying that an operation $\star$ on a set $S$ is commutative amounts to sayig $a \star b = b\star a$ for all $a, b \in S$. So in a sense, the commutator measures how badly commutativity of two elements fails.Thanks for contributing an answer to Mathematics Stack Exchange! A commute is a journey you take from home to work and back again. By clicking “Post Your Answer”, you agree to our To subscribe to this RSS feed, copy and paste this URL into your RSS reader. That's all.Thanks for the addendum on centralizers - I'll add that to my repertory of things to describe groups and their elements :-)@Frank Yes, it's quite understandable! Traduzione per 'commuter' nel dizionario inglese-italiano gratuito e tante altre traduzioni in italiano. Most such Views expressed in the examples do not represent the opinion of Merriam-Webster or its editors. Like English language, Maths too has its set of own alphabets. Also, if "commuting" refers to a binary operation, is there in maths a distinction between elements that "commute or "don't commute" for the same operation? By using our site, you acknowledge that you have read and understand our Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up.I'm in a quantum mechanics class, where people started using expressions such as: "operators $\hat{x}$ and $\hat{p}$ commute to $i\hbar$", to mean "$\hat{x}\hat{p}-\hat{p}\hat{x}\equiv[\hat{x},\hat{p}]=i\hbar$".
Some of the words that defined the week of February 21, 2020Obama has now granted more commutations than any other president in U.S. historySubscribe to America's largest dictionary and get thousands more definitions and advanced search—ad free!Learn a new word every day. $\endgroup$ – user346 Apr 27 '11 at 16:43 Traduzioni in contesto per "do the maths" in inglese-italiano da Reverso Context: And when you do the maths (TCO), the cloud is actually less expensive and involves fewer risks.
This is typically phrased as saying that all So yes, in math (particularly algebra) it's quite common to talk of individual elements To answer your second question: Given a group $G$ and an element $g \in G$, there are several important definitions involving elements commuting.On the level of elements, we can define the centralizer of a specific element; $C(g) = \{x \in G: gx = xg\}$. You might enjoy your subway commute because it gives you lots of time to read. When you commute between a suburb and a city, you're "exchanging" one location for another. See more. For example, if the binary operation is matrix multiplication over the set of square matrices of size 2, some elements "commute" (diagonal matrices), while in general 2 matrices will not "commute". Start here for a quick overview of the site
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These are all group elements that commute with a fixed group element.The reason here is because the operation $[a,b]=ab-ba$ is called the This is in much the same was as you might say "$a$ and $b$ multiply to $c$" or "$a$ and $b$ add to $c$".The reason that this operation is called the commutator is that $[a,b]=0$ if and only if $a$ and $b$ commute with one-another.
to give in exchange for another : exchange. Anybody can answer commute: [verb] change, alter. Stack Exchange network consists of 177 Q&A communities including
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