Tips for Comments

How do I include LaTeX in a comment?

    To include latex code in a comment, use the code $ latex code$, only without the space between the first dollar sign and the word ‘latex’, and with your code in place of the word ‘code’. So, for example, $ latex \mathbb{Z}$ without the space would display as \mathbb{Z}.

I posted a comment and it didn’t appear.  What’s wrong?

    You were most likely caught by our slightly over-zealous spam filter, Akismet.  Send me (Greg) an email at ‘gpm23’, which is at ‘cornell.edu’, and I’ll pull it out of the spam filter.  After a time or two, it will learn you aren’t a spambot and let your comments through.

Why are my comments getting marked as spam, at this and other wordpress blogs?  I didn’t mention viagra once!

    The most common kind of spam we get are reasonable-looking comments, ie “Great post, guys!” but whose author’s link is to a website peddling illicit goods and/or services.  What most likely happened is that your name is linking to a website that Akismet has decided not to trust for some reason (maybe foreign IPs?).  Thus, if you’d prefer not to send me an email, you should try commenting without a link.

Advertisements

5 Responses to “Tips for Comments”

  1. prof dr mircea orasanu Says:

    so many situations are given here for thus observed prof dr mircea orasanu and prof drd horia orasanu and followed that these can be developments

  2. prof dr horia orasanu Says:

    here we mentionthat can be appear other as observed many and that submitted to prof dr mircea irasanu and prof drd horia orasanu as followed with important

  3. prof dr horia orasanu Says:

    and

  4. prof drd horia orasanu Says:

    now must mentions other as is natural indeed and stated prof dr mircea orasanu and prof drd horia orasanu and followed withidea is that if something isn’t an element of both and , then it must be in the complement of one or the other set. This leads to the following result for sets :
    Again, I won’t prove this, but the idea is as follows: if something is an element of the left hand side, then it must be in the complement of at least one of the which means it can’t be in ALL of them and therefore can’t be in the intersection.

  5. prof dr mircea orasanu Says:

    in these cases are mentioned the situations as observed prof dr mircea orasanu and prof drd horoa orasanu and followed with As we have seen, a two-dimensional velocity field in which the flow is everywhere parallel to the – plane, and there is no variation along the -direction, takes the form
    (5.16)

    Moreover, if the flow is irrotational then is automatically satisfied by writing , where is termed the velocity potential. (See Section 4.15.) Hence,
    (5.17)
    (5.18)

    On the other hand, if the flow is incompressible then is automatically satisfied by writing , where is termed the stream function. (See Section 5.2.) Hence,
    (5.19)
    (5.20)

    Finally, if the flow is both irrotational and incompressible then Equations (5.17)-(5.18) and (5.19)-(5.20) hold simultaneously, which implies that
    (5.21)
    (5.22)

    It immediately follows, from the previous two expressions, that
    (5.23)

    or
    (5.24)

    Likewise, it can also be shown that
    (5.25)

    We conclude that, for two-dimensional, irrotational, incompressible flow, the velocity potential and the stream function both satisfy Laplace’s equation. Equations (5.21) and (5.22) also imply that
    (5.26)

    In other words, the contours of the velocity potential and the stream function cross at right-angles.
    The function is known as the stream function. Moreover, the existence of a stream function is a direct consequence of the assumed incompressible nature of the flow.
    Consider two points, and , in addition to the fixed point . (See Figure 5.2.) Let and be the fluxes from right to left across curves and . Using similar arguments to those employed previously, the flux across is equal to the flux across plus the flux across . Thus, the flux across , from right to left, is . If and both lie on the same streamline then the flux across is zero, because the local fluid velocity is directed everywhere parallel to . It follows that . Hence, we conclude that the stream function is constant along a streamline. The equati

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google photo

You are commenting using your Google account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s


%d bloggers like this: