Dear Alison

I agree with all this and support Martin's suggestions that you have enacted.
I agree that omega is like w and it's normal to write wT.

Best wishes and thanks

Jonathan

----- Forwarded message from Alison Pamment - UKRI STFC 
<alison.pamm...@stfc.ac.uk> -----

> Date: Thu, 30 May 2019 13:12:10 +0000
> From: Alison Pamment - UKRI STFC <alison.pamm...@stfc.ac.uk>
> To: "cf-metadata@cgd.ucar.edu" <cf-metadata@cgd.ucar.edu>
> Subject: Re: [CF-metadata] order of product in standard name
> 
> Dear Jonathan and Martin,
> 
> I would like to make sure that we have fully resolved this issue as it 
> affects names that are currently under discussion in two threads:
> covariance_over_longitude_of_northward_wind_and_air_temperature (latest 
> comment: http://mailman.cgd.ucar.edu/pipermail/cf-metadata/2019/020922.html);
> also:
>   *   product_of_eastward_wind_and_lagrangian_tendency_of_air_pressure
>   *   product_of_northward_wind_and_lagrangian_tendency_of_air_pressure
>   *   product_of_lagrangian_tendency_of_air_pressure_and_specific_humidity
>   *   product_of_lagrangian_tendency_of_air_pressure_and_air_temperature
>   *   product_of_lagrangian_tendency_of_air_pressure_and_geopotential_height
> (latest comment 
> http://mailman.cgd.ucar.edu/pipermail/cf-metadata/2019/020927.html).
> 
> I agree with Jonathan that for covariance and correlation names it is better 
> to have covariance_over_Z_of_X_and_Y, (rather than putting over_Z at the end 
> as stated in the current guidelines). This is consistent with the way we now 
> write integrals as integral_wrt_X_of_Y.
> 
> The current guidelines for correlation and covariance say simply that X and Y 
> should be ordered alphabetically, whereas for product we have additional 
> guidance: 'If X and Y are both scalars or both components of vectors, they 
> are put in alphabetical order. If one of them is the component of a vector, 
> it is put first i.e. the vector component is X, the scalar is Y.'
> 
> I think we are agreed that the same guidelines should apply to the ordering 
> of X and Y in standard names for all commutative properties such as product, 
> covariance, correlation, etc.
> 
> The rule about putting vector components first means that the covariance name 
> as written above is in the correct order.
> 
> Regarding the lagrangian tendency names, I agree with Martin's argument that 
> lagrangian_tendency_of_air_pressure should be regarded as a vertical 
> component of the air velocity vector, rather than a scalar. Therefore it is 
> correct to write the specific_humidity, air_temperature and 
> geopotential_height names as above (this is the opposite way round to what 
> was originally proposed).
> 
> I also agree with Martin's suggestion of ordering vector components as 
> X=horizontal and Y=vertical when horizontal and vertical components are the 
> operands. This is a useful general convention and gets around the problem of 
> having product_of_eastward_wind_and_lagrangian_tendency_of_air_pressure and 
> product_of_lagrangian_tendency_of_air_pressure_and_northward_wind which would 
> arise from the alphabetical rule. (Of course if we are combining two 
> horizontal or two vertical vector components we would still need to fall back 
> on the alphabetical rule).
> 
> It is on my 'To Do' list in the next couple of months to conduct a thorough 
> review of the standard names Guidelines document and the sections of the 
> Conventions document covering standard names and units. They are all somewhat 
> out of date. If we can agree these changes they can be included as part of 
> that process.
> 
> Best wishes,
> Alison
> 
> -----------------------------------------------------------------------------------------------------------
> Alison Pamment                                                         Tel: 
> +44 1235 778065
> NCAS/Centre for Environmental Data Analysis    Email: 
> alison.pamm...@stfc.ac.uk
> STFC Rutherford Appleton Laboratory     
> R25, 2.22
> Harwell Oxford, Didcot, OX11 0QX, U.K.
> 
> 
> -----Original Message-----
> From: CF-metadata <cf-metadata-boun...@cgd.ucar.edu> On Behalf Of Jonathan 
> Gregory
> Sent: 10 May 2019 15:08
> To: cf-metadata@cgd.ucar.edu
> Subject: [CF-metadata] order of product in standard name
> 
> Dear all
> 
> I should have noticed that we already have a guideline about 
> product_of_X_and_Y, which should also apply to covariance, correlation, and 
> any other commutative function of X and Y:
> 
>  If X and Y are both scalars or both components of vectors, they  are put in 
> alphabetical order. If one of them is the component  of a vector, it is put 
> first i.e. the vector component is X, the  scalar is Y.
> 
> Cheers
> 
> Jonathan
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