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.
GREAT tip with lots of uses! Thank you. This will save me hours of work on some tickets I’m designing. However, I also need to set up table tents that have numbers on them. They’re 2-up, and are folded, so each number needs to appear twice on the same page. In short, I want a page with 1/1 and 2/2, and I’m getting 1/2 and 3/4. Am I missing an obvious fix? Thank you.
An exit can be numbered by where the exit in the direction of increased mileage leaves the freeway, or by where the road that the exit serves crosses the freeway (which is occasionally ambiguous). From this number, the integer exit number can be determined by rounding up, rounding down, or rounding to the nearest integer. Many jurisdictions prefer to avoid an exit 0.[citation needed] To this end, the numbers are either rounded up to get the exit number, or any exit that would get the number 0 is instead numbered 1. Examples of highways with an exit 0 are British Columbia Highway 1 on the mainland, Interstate 70 in Wheeling, West Virginia along the West Virginia–Ohio border, and Interstate 90 on the Montana side of the Idaho–Montana border.
Footnotes, after all, are always numbered sequentially and update when you add or remove one. The problem is that each time you add a footnote you get an extra space down at the bottom of the column. The solution? Make a paragraph style for your footnotes that specifies a .1 pt tall size with a 0 (zero) leading, then choose that paragraph style in the Document Footnote Options dialog box.
Become a Microsoft Word power user in just a few minutes a week. This tips-based series helps you deepen your proficiency with Word, covering a variety of tools and techniques you can use. Learn how to work with templates, format documents, customize built-in styles and themes, master Track Changes, and more. Check back each week for a new pro tip from expert David Rivers.
Thank you for these instructions!! I’m using them to auto number my son’s baseball team raffle tickets which we hand numbered last year (UGH!). I followed the instructions exactly but for some reason the numbering is starting at 2 every time. I did deselect the checkbox about the column headers which seems the obvious culprit. Any ideas? I’m using Word on a PC. Thanks!!
Hi everybody. I am having a problem with a query that I am working on. I have a table containing customer names, trade dates, and dollar amounts. Customers can have multiple trades on the same day, sometimes even the same dollar amount. I want to have the table sorted by name, date, then dollars so the query pulls everything in from lowest/earliest to highest/latest. I was trying to make a query that pulled in the customer name and trade dates, then added a new column called "Row" that had the record number. I want the query to show all names and dates, since there are ...
In a legal document, it's rare for every paragraph in the document to be numbered. Usually, you change between numbered paragraphs and non-numbered (plain) paragraphs of text. When Word sees you switching between these types of formats, it usually tries to help by restarting your numbered list back at "1" (or the first value of your list, such as "A"). There are a few different ways to make the number follow the last number of your paragraphs. In Word, this is called Continue from Previous List.
Understanding outline numbering and how outline numbering interacts with styles is crucial to your success in using Word with legal documents. Basic outline numbering can be handled much the same way as bullets and numbering. Seven default outline numbered lists come with Word. Three of the lists format the paragraphs with outline numbers. These lists are in the top row of the dialog box. The remaining four format the paragraphs with outline numbers and apply heading styles to the paragraphs and can be found in the bottom row.

 	Note  If TAB and SHIFT+TAB do not work for changing the indents for outline numbering, you probably have the option Tabs and Backspace set left Indent turned off. To change this setting, from the Tools menu, choose Options. Select the Edit tab and check the option Tabs and backspace set left indent. As an alternative to turning this option on, you can instead use ALT+SHIFT+LEFT ARROW or RIGHT ARROW to increase or decrease outline numbering.

WordTips is your source for cost-effective Microsoft Word training. (Microsoft Word is the most popular word processing software in the world.) This tip (92) applies to Microsoft Word 97, 2000, 2002, and 2003. You can find a version of this tip for the ribbon interface of Word (Word 2007 and later) here: Sequentially Numbering Elements in Your Document.