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Let X be a Riemann surface.Then the intersection number of two closed curves on X has a simple definition in terms of an integral. For every closed curve c on X (i.e., smooth function :), we can associate a differential form of compact support, the Poincaré dual of c, with the property that integrals along c can be calculated by integrals over X:
This can be used to calculate mean values (expectations) of the flow rates, head losses or any other variables of interest in the pipe network. This analysis has been extended using a reduced-parameter entropic formulation, which ensures consistency of the analysis regardless of the graphical representation of the network. [ 3 ]
LibreOffice Calc is the spreadsheet component of the LibreOffice software package. [5] [6]After forking from OpenOffice.org in 2010, LibreOffice Calc underwent a massive re-work of external reference handling to fix many defects in formula calculations involving external references, and to boost data caching performance, especially when referencing large data ranges.
The ICU method uses the Level of Service concept, in which reports on the amount of reserved capacity or capacity deficit. In order to calculate the Level of Service for the ICU method, the ICU for an intersection must be computed first. [3] ICU can be computed by: ICU = sum(max (tMin, v/si) * CL + tLi) / CL = Intersection Capacity Utilization
For example, David Mumford constructed a line bundle L on a suitable ruled surface X such that L has positive degree on all curves, but the intersection number () is zero. [11] It follows that L is nef, but no positive multiple of c 1 ( L ) {\displaystyle c_{1}(L)} is numerically equivalent to an effective divisor.
Apple iWork Numbers, included with Apple's iWork '08 suite exclusively for Mac OS X v10.4 or higher. AppleWorks – for MS Windows and Macintosh. This is a further development of the historical Claris Works Office suite. WordPerfect Office Quattro Pro – for MS Windows. Was one of the big three spreadsheets (the others being Lotus 123 and Excel).
A sex offender who police said tried to "financially and emotionally manipulate" his victims has been jailed for 25 years. Stephen Gallagher, of Normandy Avenue in Colchester, was found guilty by ...
A graph with intersection number four. The four shaded regions indicate cliques that cover all the edges of the graph. An alternative definition of the intersection number of a graph is that it is the smallest number of cliques in (complete subgraphs of ) that together cover all of the edges of .
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