This question might likely be phrased better, however I\"m no sure how to better describe it.

You are watching: What does the asterisk mean in math

In calculus, as soon as studying sigma notation, particularly with Riemann sums, you regularly see something choose this:

$$A = \\sum_k=1^n f(\\colorredc_k^\\colorred*)\\Delta x$$

I know that in the certain case that Riemann sums, it way that you are to select any type of $c_k$ in the term $$ and evaluate $f(c_k)$ as component of the sum. Yet I\"m wondering around the definition of the asterisk notation in general.

My question: what is the surname for (or exactly how to girlfriend pronounce) the $\\colorredc^\\colorred*$ term?

More generally, what do you call a change or hatchet that has actually an asterisk above it like, that? And, what is the tennis2007.orgematic an interpretation of the asterisk, in a general sense?


calculus notation
re-publishing
mention
follow
edited Dec 4 \"15 at 23:08
tommytwoeyes
request Dec 4 \"15 at 23:06
\"*\"

tommytwoeyestommytwoeyes
67911 yellow badge88 silver- badges1515 bronze title
$\\endgroup$
1
add a comment |

2 answers 2


energetic oldest Votes
3
$\\begingroup$
I would certainly pronounce it \"c-k-star\". The meaning is simply that these are new values supplied to approximate the previous values, so like the $c_1, \\ldots, c_n$ define regions of the number line, and $c_k^*$ is not one of these values, yet it is supplied to essentially approximate $c_k$ (being between $c_k-1$ and $c_k$). There are several means to pick this value, one of two people a left ($c_k^* = c_k-1$) or best ($c_k^* = c_k$) endpoint of the interval, or a mid point ($c_k^* = \\fracc_k-1+c_k2$), or yes, really it can be chosen arbitrarily (it will all come the end the same as soon as you take the border over a partition refinement).


share
mention
follow
answered Dec 4 \"15 at 23:22
\"*\"

Morgan RodgersMorgan Rodgers
12.6k33 gold badges2222 silver badges5656 bronze badges
$\\endgroup$
1
include a comment |
0
$\\begingroup$
To price the second component of your question: the asterix has a many of various meanings. Sometimes it is simply a brand-new variable name (like in her example) that should be explained in the text surrounding the formula. Often, this will be some extremum (in case of Riemann sums, the is yet an additional choice).

In various other contexts, the can likewise denote the facility conjugate of a complex number, the adjoint of an operator in a Hilbert space, the double of a linear operator, and really commonly the pullback operator connected to part function. And these are absolutely not every meanings.


re-superstructure
cite
follow
reply Dec 5 \"15 at 3:48
\"*\"

Eike SchulteEike Schulte
1,77111 yellow badge1010 silver badges1212 bronze title
$\\endgroup$
3
include a comment |

your Answer


Thanks because that contributing solution to tennis2007.orgematics ridge Exchange!

Please be certain to answer the question. Provide details and also share her research!

But avoid

Asking because that help, clarification, or responding to various other answers.Making statements based on opinion; back them up with recommendations or an individual experience.

Use tennis2007.orgJax to format equations. Tennis2007.orgJax reference.

To find out more, see our advice on writing an excellent answers.

See more: Do Push Up Bras Make Your Breasts Look Bigger, 8 Best Push


Draft saved
Draft discarded

Sign increase or log in


authorize up utilizing Google
authorize up using Facebook
authorize up making use of Email and also Password
send

Post together a guest


name
email Required, however never shown


Post as a guest


name
email

Required, however never shown


post Your answer Discard

By click “Post her Answer”, you agree to our regards to service, privacy policy and also cookie policy


Not the price you're feather for? Browse other questions tagged calculus notation or questioning your very own question.


Featured on Meta
related
15
What does this $\\asymp$ prize mean? (subject: analytic number theory)
2
fast question about notation and also pronunciation of indices: (i+1)st or (i+1)th?
5
Is this notation good for the chain ascendancy derivative?
21
$\\sin$ vs. $sin$ - background and usage
3
duty / Map notation?
1
What is the suitable notation because that a role with raising layers of summations top top summations?
7
What symbol must be supplied to indicate that 2 propositions are regular with each other?
0
Is over there a tennis2007.orgematical term for a duty counting occurrences of elements across sets?
hot Network questions much more hot inquiries

concern feed
subscribe to RSS
inquiry feed To subscribe to this RSS feed, copy and also paste this URL into your RSS reader.


\"*\"

tennis2007.orgematics
firm
stack Exchange Network
site architecture / logo © 2021 stack Exchange Inc; user contributions license is granted under cc by-sa. Rev2021.10.12.40432


tennis2007.orgematics ridge Exchange works ideal with JavaScript allowed
\"*\"

her privacy

By clicking “Accept all cookies”, you agree ridge Exchange deserve to store cookies on your device and disclose info in accordance v our Cookie Policy.