_{A sequence can be thought of as a list of elements with a particular order. Sequences are useful in a number of mathematical disciplines for studying functions, spaces, and other mathematical structures using the convergence properties of sequences. In particular, sequences are the basis for series, which are important in differential equations and analysis. Sequences are also of interest in their own right and can be studied as patterns or puzzles, such as in the study of prime numbers. }

is defined as the set of all sequences {\displaystyle (x_{i})_{i\in \mathbb {N} }} such that for each i, {\displaystyle x_{i}} is an element of {\displaystyle X_{i}} . The canonical projections are the maps pi : X → Xi defined by the equation {\displaystyle p_{i}((x_{j})_{j\in \mathbb {N} })=x_{i}} . Then the product topology on X is defined to be the coarsest topology (i.e. the topology with the fewest open sets) for which all the projections pi are continuous. The product topology is sometimes called the Tychonoff topology.

__I’d like to use this for Exhibits/Appedices. If we refer to the same Exhibit # in a footnote or elsewhere in the document, and then the Exhibit reference is moved, it causes an error in the footnote or reference. Is there a way to cross-reference this, or to have it cross-reference automatically? Lawyers want to use this but I can’t see them bothering to cross-reference the footnotes. Thanks.__

You can add a chapter number variable to your document. Like page numbers, chapter numbers can be updated automatically and formatted and styled as text. A chapter number variable is commonly used in documents that are part of a book. A document can have only one chapter number assigned to it; if you want to divide a single document into chapters, you can create sections instead.

^{LION has available automatic numbering machine ink in black, red and blue. Refill ink comes in 1 oz size bottles with a convenient long tip spout and attached cap. LION numbering machine ink is especially made to keep the machine mechanisms lubricated to ensure long lasting performance. Also available are the LION fast dry ink in black, red and yellow in 1.8 oz size bottles for LION rubber faced wheel numbering machine, model MM-21. Solvent-based, fast dry ink is not recommended for use on LION metal wheels. This ink is specially formulated for fast drying and water-resistance on slick or hard surface such as on plastic, metal or glass. }

## I am using Windows 10 and Lightroom Classic CC. Unlike many professional photographers who go on very specific shoots, when I travel, especially, I am shooting a wide variety of shots and in many different places. Thus, I find it most convenient to import my photos into Lightroom with only the most basic information -- metadata, and general keywords. Then when I have the time, I go through and sort the photos into subfolders, give them titles and more specific keywords. I also want to number these photos. Often, however, I will want to add more photos to a subfolder -- say my husband's photos taken at the same place. In Photoshop, these photos can be numbered so that the numbering sequence follows the photos in the same folder that have already been numbered.

^{Hello! I already have automatic numbering set up (to change paragraph numbers automatically when paragraphs are moved within a document) but I would also like to have automatic lettering within the same document that is independent from the numbering. Example, paragraph 1 references Exhibit A, paragraph 2 references Exhibit B, so on and so forth. Currently using the above referenced method, the auto numbering lettering then follows as if the letters are a representation of the corresponding number (if that makes sense), ex: 1 B 3 C 5 D. How do I have the number sequencing independent from the letter sequence? Thank you in advance! }

You probably know about Word's mail merge feature, and you might even use it to print labels or other documents, where some of the information changes (such as form letters). You can use the same feature with Publisher. Although you might not think of Publisher as an Office app, it comes with several different versions of Office. In this article, I'll show you how to print sequentially numbered tickets using Publisher and Excel. This article provides instructions for Publisher 2007, 2010, and 2013.

If you start to type in what appears to be a numbered list, Word formats your manually typed "numbers" to an automatic numbered list. The main benefit of this option is that you do not need to click any button to start numbering and you can choose your numbering style as well. For example, if you type "(a) some text" and press Enter, it starts numbering using the "(a)" format.

A quick way to create a bulleted or numbered list is to type the list, select it, and then click the Bulleted List or Numbered List button in the Control panel. These buttons let you turn the list on or off and switch between bullets and numbers. You can also make bullets and numbering part of a paragraph style and construct lists by assigning styles to paragraphs.

Hi, is there any limit on the number of E-Mails ? I created an archive of 270000 E-Mails (IMAP) and it caused trouble. Can I have that amount in a local folder ? Are there any recommended number ? It locked that 50000 starts being a problem on IMAP already. How else would you handle an archive that you need frequently ? Thanks for your help Stephan If it were me... exporting them(selectively) to user created properly named Windows Explorer blank folders on the hard drive and backing up to a different drive(internal/external/cd/dvd) outside of Windows Live Mail woul...

__Hello, I'm looking for a way to quickly find what numbers are missing in column B. I can sort them ascending, but how do I find if there are missing numbers? 1 2 3 5 6 7 9 I need to know 4 and 8 are missing. Thank you. One way: select B2:Bx. Choose Format/Conditional Formatting... CF1: Formula is =(B2-B1)>1 Format1:__/ or, without sorting, select column B (with B1 active): CF1: Formula is =AND(B1>MIN(B:B),COUNTIF(B:B,B1-1)=0) Both CF's will activate if there are missing numbers before them. In article <28706E9E-2624... sequential numbering in coreldraw