You are here
HomeRay's sandbox
Primary tabs
Equations pertaining to question about exponential sum:
$\displaystyle\int_{0}^{{1/2}}dx\,\cos(4\pi nx)\sum_{{z=\infty}}^{{+\infty}}e^% {{(xz/2)^{2}}}$  $\displaystyle=\sum_{{z=\infty}}^{{+\infty}}\int_{0}^{{1/2}}dx\,\cos(4\pi nx)e% ^{{(xz/2)^{2}}}$  
$\displaystyle=\sum_{{z=\infty}}^{{+\infty}}\int_{{z/2}}^{{(z+1)/2}}dx\,\cos(4% \pi nx)e^{{x^{2}}}$  
$\displaystyle=\int_{{\infty}}^{{+\infty}}dx\,\cos(4\pi nx)\,e^{{x^{2}}}$  
$\displaystyle=\sqrt{\pi}\,e^{{16\pi^{2}n^{2}}}$ 
1. Derived Works Projects
The proposal presented here is based upon several previous projects which have been attempted in the past with varying degrees of success in the past, notably the Free Encyclopaedia of Mathematics, the Topic of the Month, and the Real Number Project. In framing this proposal, I have tried to learn from the past by combining the successful features of these past projects whilst striving to improve what, in retrospect, appeared to be the weak points of past attempts.
The problem which this proposal addresses is how to implement a layer of editorial oversight and vetting in a manner which is consistent with the values of PlanetMath and which would not interfere with the workflow. The way in which I propose to address the conflicting demands of local control by contributors versus global control by editors is by making use of our licensing terms which allow third parties to reuse our content freely. Thus, rather than open a can of worms by trying to impose editorial control from above directly, much the same objectives could be accomplished by editing collaboratively produced content separately.
The approach proposed here involves a twostep process. In the first step, we work within the system to identify gaps in the coverage, file requests and corrections, offer incentives to write entries, and the like. In the second step, content is forked off from the online collection and then edited and vetted by a traditional editorial board.
This arrangement is intended to offer the best of both worlds — the flexibility and rapid dissemination of the CBPP project along with the quality control of editors and referees. To keep the process manageable, there would be multiple projects, each focussed on a single area of mathematics with the aim of improving the coverage in that particular area and producing a volume on that subject. Because Matte already made significant progress, I propose that the first topic we work on be real numbers, bringing his project to completion.
1.1. Participants and Roles

EditorinChief

Has the usual credentials — PhD, work experience, publications, etc.

Ideally a wellknown and respected mathematician.

Monitors the project to guarantee quality and somehow vouches for its correctness by appending his reputation to it.

Locates and contacts potential referees.

Helps set standards and guidelines.


Associate editors

Proofread the collection.

Make changes as necessary.

Write supplementary material like introductions.

Help set standards and guidelines.


Content Committee

Run project to bring up coverage of some area.

Collect suitable entries on a topic for the project.

Select an editorial board.

1.2. Platform
1.3. Timeline

Phase 1 (Content Committee)

Survey coverage on a given topic.

Collect and mark entries of relevance.

Identify gaps in coverage and make requests.

File corrections for any mistakes noticed.

Make topic of the month, subject bonuses, etc.


Phase 2 (Content Committee)

Look for new entries on topic.

Check status of requests.

Collect and organize entries for editors.


Phase 3 (Editorial Board)

Workflow splits off from that of PM.

Editors set standards and guidelines.

They might split or combine entries, add or delete material as they see fit for their purpose.

They will write introductions and similar material.

Editors will correct any mistakes they find, but send out corrections to inform the authors back at PM.


Phase 4 (Editorial Board)

Editors locate referees, ideally people not too familiar with PM.

Each referre is assigned a portion of the work.

Editors examine referee reports, asking for further opinions as warranted and correcting errors found.

The completed work is then published.

Mathematics Subject Classification
no label found Forums
 Planetary Bugs
 HS/Secondary
 University/Tertiary
 Graduate/Advanced
 Industry/Practice
 Research Topics
 LaTeX help
 Math Comptetitions
 Math History
 Math Humor
 PlanetMath Comments
 PlanetMath System Updates and News
 PlanetMath help
 PlanetMath.ORG
 Strategic Communications Development
 The Math Pub
 Testing messages (ignore)
 Other useful stuff
 Corrections