The date display methodology could also use some improvement. I asked Andy if he might implement calculated fields but apparently this is further down the list of features desired.
HOMOLOGIE HYPERPLAN PC
I often design my plans on the Mac, email myself the HyperPlan File (as a simple means of versioning), take screenshots and park them into EverNote Folders and Curio IdeaSpaces, and retrieve the actual email file on a PC Tablet from Email so that all my Mac/PC Tablets/SmartPhones/Desktop Class devices can benefit from either the Content Creation or Retrieval end of the program’s gorgeous visualization capabilities. The program is both visually appealing (for the right-brain in me), usable in tabular/list views (for the left brain in me), has a simple GUI (graphical user interface) that is intuitive (without reading a manual) that is endlessly adaptable yet still not bloated. Having the ability to save different views/perspectives of attributes plotted against each other means opportunities for unexpected data visualization insights. I no longer spend inordinate amounts of time managing the Project Management program.ĭrag & Drop and in-place editing of Colored Cards (like Post-It Notes™) gives one a ‘Forest and Trees’ visualization of ones’ ideas and projects. There are useful features such as URL linking, in-place editing, drag and drop attribute inheritance based on location moved to, etc.
In brief, HyperPlan is the Mother of Digital Post-It Notes™ technology combining the strengths of a simple Database, simple Spreadsheet (with CSV Import/Export) and a robust 2D Visualization Planning Tool. There are very few database programs that excel in data visualization. Recognizing the power of Visualization / Colorization (with simple and complex vector drawing programs), Mindmapping, Flowcharting, KanBan Boarding, Work Breakdown Structures, Graphical Models of Visualization across different attributes/axes of ideas and projects, I have always found myself using an endless parade of changing programs to get a better handle on my projects and ideas. I use the program for Weekly Planning, Project Inventories, Life Dashboards, and in general, understanding what is the next best use of my time amongst a continual barrage of inputs.
I have been a fan of this program since the first version I purchased on sale through MacUpdate and have made several suggestions to the developer and engaged in dialogues well beyond what I expected (with very helpful workarounds for unimplemented ideas that comprise a massively long end-user wish-list). Assume there exists a stratification of such that is smooth closed stratum and is constructible with respect to the stratification.I very infrequently leave public reviews but think this particularly responsive, helpful and insightful developer (Andy) deserves mention and accolades from the design, intent and programming execution of his vision for HyperPlan. Let, where is smooth closed (but is not necessarily smooth). In order to obtain the Poincare duality for singular spaces, we need to find some such that and for some open such that. Poincare duality for singular spacesįor singular, usually. In general for proper, we cannot hope, but instead we would hope that, where is the form of.
As is self dual, is self dual (as is proper) and is self dual, we know that is self dual. Also, we have seen that for a contraction of curves. We have seen that for a smooth projective map, and by the Hard Lefschetz. Let, we obtain the Poincare duality This can be interpreted as the statement that is self dual.Īn analog of Poincare duality on stratified space of even real dimension should then be such that and an open smooth (strata) such that. We have seen that, When is smooth and oriented, we have, in fact for any smooth morphism.
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