Pattern with powers

• To: mathgroup at smc.vnet.net
• Subject: [mg131469] Pattern with powers
• From: "Dr. Wolfgang Hintze" <weh at snafu.de>
• Date: Tue, 30 Jul 2013 06:40:55 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com
• Delivered-to: l-mathgroup@wolfram.com
• Delivered-to: mathgroup-outx@smc.vnet.net
• Delivered-to: mathgroup-newsendx@smc.vnet.net

```I must admit that I am an absolute beginner in patterns, as I cannot cope with a little problem with patterns consisting of powers of variables x and y.

Specifically, I would like to select from a list all terms of the form

c x^u y^v (numerical coefficient c times x to the power u times y to the power v)

where u and v are allowed to take the values 0 and 1.

How can I do this using Cases?

I have already accomplished the first non trivial step using _. (blank followed by a dot) in order to get first powers of the variables:

ls = List@@Expand[5 (x + y)^3]
{5*x^3, 15*x^2*y, 15*x*y^2, 5*y^3}

Example 1
a = 2; Cases[ls, (_.)*x^(u_.)*y^(v_.) /; u >= a && v < a]
gives
{15*x^2*y}
but misses the term
5*x^3

Example 2: this would be the form I would like most
Cases[ls, (_.)*x^_?(#1 >= a & )*y^_?(#1 < a & )]
gives
{}
Here even I didn't get the dot behind the blank before the test, so it misses first powers.

Thanks in advance for any help.

Best regards,
Wolfgang

```

• Prev by Date: Re: Finding a function within an arbitrary expression
• Next by Date: Re: Incorrect (unexpected) output from TransformedField
• Previous by thread: word documents
• Next by thread: Re: Pattern with powers