Search

Filter

  • Advanced Filters:

  • to

  • Specific Data Sources:

    All Edit

    Select All  |  Select None

Reset filters

Journals ACM SIGAPL APL Quote Quad Volume 31 Issue 3

A graph-theoretical notation for array concatenation represents arrays as bubbles with arms sticking out, each arm with a specified number of "'fingers". Bubbles with one arm are vectors, with two arms matrices, etc. Arrays can only hold hands, i.e., "contract" along a given pair of arms, if the arms have the same number of fingers. There are three array concatenations: outer product, contraction, and direct sum. Special arrays are the unit vectors and the diagonal array, which is the branching point of several arms. Outer products and contractions are independent of the order in which they are performed and distributive with respect to the direct sum. Examples are given where this notation clarifies mathematical proofs.

End of preview. The entire article is 14 pages. To view the full-text, please rent this article to continue.

/lp/association-for-computing-machinery/graph-notation-for-arrays-wGdngqWiNN
Welcome to DeepDyve! Rent Premier Research Articles and Save Up to 90%

Learn more

Bookmark

Graph notation for arrays

Ehrbar, Hans G.
ACM SIGAPL APL Quote Quad , Volume 31 (3)
Association for Computing Machinery – Mar 1, 2001

More Info

More Like This Article

View All dataSource[]=actageo&dataSource[]=aspet&dataSource[]=aaos&dataSource[]=aacc&dataSource[]=aacr&dataSource[]=aea&dataSource[]=aip&dataSource[]=ajnr&dataSource[]=ams&dataSource[]=aps_physical&dataSource[]=appi_book&dataSource[]=appi_journal&dataSource[]=apha&dataSource[]=asip&dataSource[]=asm&dataSource[]=asn&dataSource[]=aspb&dataSource[]=avs&dataSource[]=annual_reviews&dataSource[]=arxiv&dataSource[]=acm&dataSource[]=berghahn&dataSource[]=cabi&dataSource[]=clinical_trials&dataSource[]=dailymed&dataSource[]=degruyter&dataSource[]=du_press&dataSource[]=esa&dataSource[]=eu_press&dataSource[]=elsevier&dataSource[]=emerald&dataSource[]=ejtr&dataSource[]=emea&dataSource[]=epo&dataSource[]=faseb&dataSource[]=gsa&dataSource[]=health_affairs&dataSource[]=hindawi&dataSource[]=imanager&dataSource[]=imedpub&dataSource[]=informa_healthcare&dataSource[]=informs&dataSource[]=iop&dataSource[]=iucr&dataSource[]=iospress&dataSource[]=jbjs&dataSource[]=leftcoast&dataSource[]=lu_press&dataSource[]=mesharpe&dataSource[]=mary_ann_liebert&dataSource[]=medline&dataSource[]=mit_press&dataSource[]=nature&dataSource[]=oxford&dataSource[]=pier_professional&dataSource[]=pnas&dataSource[]=portlandpress&dataSource[]=psyc_articles&dataSource[]=psyc_books&dataSource[]=psyc_critiques&dataSource[]=plos_journal&dataSource[]=pubmed_central&dataSource[]=rsna&dataSource[]=rockefeller&dataSource[]=rcn&dataSource[]=ria&dataSource[]=rsc&dataSource[]=sage&dataSource[]=spie&dataSource[]=springer_journal&dataSource[]=springer&dataSource[]=taylor_francis&dataSource[]=aps&dataSource[]=the_scientist&dataSource[]=uc_press&dataSource[]=uspto_abstract&dataSource[]=wiley&dataSource[]=pct

Browse: Subject Areas | Journals | Publishers

Sign Up for a DeepDyve Account

Bookmark an Article

To bookmark an article, please log in first, or sign up for a DeepDyve account if you don't already have one.

OK

Subscribe to Journal Email Alerts

To subscribe to email alerts, please log in first, or sign up for a DeepDyve account if you don't already have one.

OK

Thank you for renting with DeepDyve

Your PayPal account has been charged $2.99. You now have access to the full text of this article. A rental receipt has also been sent to your email address.

Your credit card has been charged $2.99. You now have access to the full text of this article. A rental receipt has also been sent to your email address.

OK

New! You can now keep track of new articles from ACM SIGAPL APL Quote Quad on your personalized homepage! Learn more

PDF Download — Not Available

Thanks for your interest in purchasing the PDF. Your request has been noted and we will work with our publisher partner to discuss enabling this feature.

In the meantime, you can get the PDF by visiting the publisher site.

Thank you for purchasing with DeepDyve

Your PayPal account has been charged $.

Your credit card has been charged $.

You can now download this article. A purchase receipt has also been sent to your email address.

Download This Article or I'm done with my download

Print Page — Not Available

Thanks for your interest in printing individual pages. Your request has been noted and we will work with our publisher partner to discuss enabling this feature.

In the meantime, you can get the PDF by visiting the publisher site.

Thank you for printing with DeepDyve

Your PayPal account has been charged $0.

Your credit card has been charged $0.

You can now print this article. A purchase receipt has also been sent to your email address.

Print the Selected Pages or I'm done with my printing

Please refresh to generate a new download link

Your article download link has expired. Please refresh this page to obtain a new download link and try again.

Follow a Journal

To get new article updates from a journal on your personalized homepage, please log in first, or sign up for a DeepDyve account if you don't already have one.

OK