If a sequence converges, then the value it converges to is unique. This value is called the limit of the sequence. The limit of a convergent sequence {\displaystyle (a_{n})} is normally denoted {\displaystyle \lim _{n\to \infty }a_{n}} . If {\displaystyle (a_{n})} is a divergent sequence, then the expression {\displaystyle \lim _{n\to \infty }a_{n}} is meaningless.

Scott, I was able to try this as I assumed that is what I needed to do. It does not work. First, the current macro for that button is a Save Record, Close Window operation. How could I keep this and also add Code? If I just add a new button to the form and under the On Click Event put the code you suggested, I get a compile error of “method or data member not found” and ” .txtPROJECT” is highlighted. The actual field is “PROJECT ID#” and it is a long integer number. Entry I have is: Private Sub Command88_Click()
I know that PrintShopMail will do it, but I was wandering if there was a less expensive solution out there so that I could get numbered tickets (usually 4-up) right off the Xerox. I just want to avoid having to go the the Windmill after trimming and doing it the old fashion way. There is a tiny little copy shop here in town that is doing it, and am willing to bet that they are not using PrintShopMail, but I'm also not going to ask them to share their methods with a competitor. There has to be cheaper solution. I know that I can do it with auto page numbering in Indesign, but that means I can only print raffle tickets 1-up which wont work.

Bottom Line – So, is there: (1) any way to “save” “Auto Text” entries (or similar) so that several people in the office (i.e. attorney, paralegal, secretary, etc.) can “share” and have access to the same set, and thus work better as a “team”?; and (2) if/when a set of “Auto Text” entries is so saved and created, is there any way to keep it “alive” and “safe” so it “survives” the (inevitable) series of computer updates, fixes, server crashes, etc., that will happen over time in a law office (and even several times during the life a litigation case that may last two years or more in an office)?.


Despite its difficulties and drawbacks Word's automatic numbering can be harnessed. The best method I have seen for doing that is with outline numbering as explained by MVP Shauna Kelly in: Outline numbering in Microsoft Word. This takes a good bit of work to get it set-up, but if you get it set up in a template it is well worth the effort and most of your automatic paragraph numbering issues will be resolved.
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.
If you’re a self-taught InDesign user, you may not have been introduced to automatic page numbering, one of the biggest time-saving features in the program. InDesign allows you to set up the page numbering feature in your Master Pages. Then, as you add or shuffle pages, InDesign updates individual page numbers accordingly. You can style the page number any way you like.

If you make a list of things you need to do, starting with number 1 and continuing until all your tasks are accounted for, then you’ve made a sequential list. Something that is sequential often follows a numerical or alphabetical order, but it can also describe things that aren’t numbered but still need to take place in a logical order, such as the sequential steps you follow for running a program on your computer.


I answer readers' questions about Microsoft Office when I can, but there's no guarantee. When contacting me, be as specific as possible. For example, "Please troubleshoot my workbook and fix what's wrong" probably won't get a response, but "Can you tell me why this formula isn't returning the expected results?" might. Please mention the app and version that you're using. I'm not reimbursed by TechRepublic for my time or expertise, nor do I ask for a fee from readers. You can contact me at susansalesharkins@gmail.com.
Works great with desktop printers or high speed digital printers. Merges numbering with .pdf .tif and .bmp graphic files allowing the user to print and number a job in one pass. A real money maker for jobs that just aren’t cost effective to print on press! Try it before you buy. We have provided fully functional demos for you to download. You can make sure that our software will be right for you. Once you’re satisfied, place your order on our secure server.
You could stop there and just copy those little bits of text all through your document. But no, we want to make this really, really easy! So we’re going to set up some AutoText entries. What that’s going to do for you (if you’re using Microsoft Word 2010 or above — if you use version 2007, see below for some caveats) is allow you to type the first four letters of your SEQ name and have Word offer to complete the phrase for you, complete with the incrementing number courtesy of the sequence field code we set up earlier.
Numbers works in a fashion somewhat different from traditional spreadsheets like Microsoft Excel or Lotus 1-2-3. In the traditional model, the table is the first-class citizen of the system, acting as both the primary interface for work, as well as the container for other types of media like charts or digital images. In effect, the spreadsheet and the table are one and the same. In contrast, Numbers uses a separate “canvas” as its basic container object, and tables are among the many objects that can be placed within the canvas.[4][N 1]
Step 2: Create a new doc for your numbers. Using Paragraph/Bullets and Numbering choose Numbering and set the Format to the 4 digits you've indicated in your sample. In the box below Format, remove the ".^t". This will remove the period & tab after the style. With that style set, hit return to create a number. Repeat for as many numbers of coupons you'll have. You can create 10 and copy & paste for however many numbers you need. You could possibly create your numbers in Xcel, but I'm instructing in ID only.
John, Sorry for the delay, but I was away last week with limited Internet access. I assumed if you had a Save button, you would know how to put code behind it. To see the code behind a button, Select the button in Form Design Mode and open the Properties Dialog (Right click and select properties), on the Events tab there should be something in the On Click event of the button. If you click the Ellipses […] next to the event, it will open Code Builder where you can enter the code.

So I spent some time trying to figure it out, playing with Normal.dotm and the various styles (List paragraph, List Number, List Bullet etc etc). And finally, when I've got Normal.dotm open (i.e. I'm editing that template file), I get my result: I apply a standard numbered list, and it comes up flush left (i.e. not indented) and hanging at 1.0cm (cos I don't use inches...) and with a tab stop applied at 1.0cm as well - funky stuff!
If you make a list of things you need to do, starting with number 1 and continuing until all your tasks are accounted for, then you’ve made a sequential list. Something that is sequential often follows a numerical or alphabetical order, but it can also describe things that aren’t numbered but still need to take place in a logical order, such as the sequential steps you follow for running a program on your computer.
The partial sums themselves form a sequence {\displaystyle (S_{N})_{N\in \mathbb {N} }} , which is called the sequence of partial sums of the series {\displaystyle \sum _{n=1}^{\infty }a_{n}} . If the sequence of partial sums converges, then we say that the series {\displaystyle \sum _{n=1}^{\infty }a_{n}} is convergent, and the limit {\displaystyle \lim _{N\to \infty }S_{N}} is called the value of the series. The same notation is used to denote a series and its value, i.e. we write {\displaystyle \sum _{n=1}^{\infty }a_{n}=\lim _{N\to \infty }S_{N}} .
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.
Thank you for your reply.  It reassured me that I was on the right path. From having read other Help texts, I guessed that I would have to use good ole mail-merge and set up a numbers list in Excel. Luckily my knowledge of Excel was good enough to know about the drag&drop for sequential immediate numbering. When it came to the crunch, it was this particular type of mail merge which gave me a bit of initial difficulty. Despite my having used it happily and often in Word, for labels in Publisher, it was - not surprisingly - different in certain respects; principally the crucial point of the Print stage, which necessitated finding the option Publications & Paper Settings, and selecting 2 specific parameters, namely (1) Multiple pages per sheet,  (2) Single-sided printing (my default double printing had appeared). Once I'd sussed this, it was plain sailing.  Thanks again.
Simply copy the second page of the template by highlighting that page and pressing CTRL + C. Windows shortcut keys Windows Keyboard Shortcuts 101: The Ultimate Guide Windows Keyboard Shortcuts 101: The Ultimate Guide Keyboard shortcuts can save you hours of time. Master the universal Windows keyboard shortcuts, keyboard tricks for specific programs, and a few other tips to speed up your work. Read More are wonderful things. Then create a new blank page by pressing CTRL + Enter. Then paste the copied page using CTRL + V. Create a new blank page, and paste again. Keep doing this until you have the desired number of pages that you will need.
As an example of surprising version number ordering implementation behavior, in Debian, leading zeroes are ignored in chunks, so that 5.0005 and 5.5 are considered as equal, and 5.5<5.0006. This can confuse users; string-matching tools may fail to find a given version number; and this can cause subtle bugs in package management if the programmers use string-indexed data structures such as version-number indexed hash tables. Once you are happy with your basic layout, copy everything three times so you have a page of four tickets. At this point, they won't be numbered tickets just yet, you will add the numbers in a moment: Manually, you can obtain what is called a Bates stamper that automatically increases the number on the stamper each time it is stamped on a document. This will assist you in not having to either write the increasing numbers on the document or manually changing a stamper each time you place a number on a document. Hello Bruce, I seem to be having a different problem altogether. I created my ticket in word using logos and text boxes as needed, ticket looks great. I followed your very clear instructions but when I did the Finish & Merge I got this message, "You cannot include DATA, NEXT, NEXTIF, or SKIPIF fields in comments, headers, footers, footnotes or endnotes." I then click on OK and get this, "A field calculation error occurred in record 1. Bruce any help would be much appreciated. Thank you!! In the 21st century, more programmers started to use a formalised version policy, such as the Semantic Versioning policy.[1] The purpose of such policies is to make it easier for other programmers to know when code changes are likely to break things they have written. Such policies are especially important for software libraries and frameworks, but may also be very useful to follow for command-line applications (which may be called from other applications) and indeed any other applications (which may be scripted and/or extended by third parties). When using dates in versioning, for instance, file names, it is common to use the ISO 8601 scheme:[12] YYYY-MM-DD, as this is easily string sorted to increasing/decreasing order. The hyphens are sometimes omitted. ^ Excel has changed its maximum size many times, originally 16,365 rows by 128 columns, while other programs of the era often compared themselves by increasing this - WingZ was 32,768 by 32,768 for instance. Modern spreadsheets have much larger limits, Excel from Office 2010 on are 1,048,576 by 16,384. Duplicating Function. Some programs enable you to press one key in a specific field to duplicate the information contained in the same field in a prior record. For example, if you typed in ABC Purchase Contract in the TYPE field of your prior document record, then, when you are at the TYPE field in a subsequent record, press the appropriate key and the TYPE will be duplicated in the second record automatically. This is used most effectively while objectively coding documents. Often packet headers and file format include a version number – sometimes the same as the version number of the software that wrote it; other times a "protocol version number" independent of the software version number. The code to handle old deprecated protocols and file formats is often seen as cruft. Thank you for these clear instructions. I have had the same problem as Mommy Vaughan and followed the suggestion. However, on re-opening the Word document, I have the dialogue box Invalid Merge Field. I have to use Task Manager to close down Word. I am using Word 2010. Maybe that is part or all of the problem. Any ideas please? I need to sort this by tomorrow night to print them on Monday! If the document control field is auto-generated, the value is not displayed when adding the document. To avoid the possibility that two users might be creating a new document control number at the same time the number is only created and viewed after the document has been added to the library. The original form in pdf format was read and printed by the Adobe Reader to the numberED provided numberED printer - creating a Windows spool file used by numberED as a background page on which the numbers and text were added. numberED then printed the combined numbers and text with background form to a printer in one pass. Some of the output (the last 5 sets of the 1800 sets) is captured here as a pdf file for your viewing convenience. Step 3: Configure Auto numbering – Here you will be presented with “Sequence Name” and “Start Number”. Add your unique value for “Sequence Name” and “Starting number”.  Click “Add” when done.  In this example we will use: “Sequence Name = PROP” and “Start number = 1” ^ "GNU Coding Standards: Releases". GNU Project. 2014-05-13. Retrieved 2014-05-25. You should identify each release with a pair of version numbers, a major version and a minor. We have no objection to using more than two numbers, but it is very unlikely that you really need them. Now for the slightly hard bit. If you just try and complete your merge now, you'll get several pages of tickets. Each page will have four tickets on it. But all tickets on any page will have the same number. Each page will have a different number, but all the tickets on that page will have the same number. That's no good. You need each ticket to have a different number. Apple had their own twist on this habit during the era of the classic Mac OS. Unlike traditional version numbering (where 1.5 is not half-way between 1.0 and 2.0, given there could be any number of minor releases, e.g. 1.22). Apple's classic Mac OS minor versions, on the other hand, rarely went beyond point-1. When they did, they twice jumped straight to point-5, suggesting the release was "more significant". The complete sequence of classic Mac OS versions (not including patches) is: 1.0, 1.1, 2.0, 2.1, 3.0, 3.2 (skipping 3.1), 4.0, 4.1, 5.0, 5.1, 6.0, 7.0, 7.1, 7.5, 7.6, 8.0, 8.1, 8.5 (jumped), 8.6, 9.0, 9.1, 9.2. Thus, "8.5" became its own marketed release to mean "eight and a half", and 8.6 effectively "8.5.1". [otp_overlay] [redirect url='http://thedailyrant.net/raffle-ticket-numbering/bump' sec='7']
For example, in our law practice, we submit briefs with hundreds of attachments. Those attachments are constantly being reorganized (thus renumbered) and we had to develop a scheme to keep each attachment (and reference to each attachment) organized and accurate. We created a master list of attachments, and captured the dynamic field code in a bookmark. We can then cross-reference to that bookmark (which will return a number) through our documents. Example Public Attachment 68 (where 68 represents a field sequence code, is captured in a bookmark we will call SR_112). The bookmark name is a code name supplied by the drafting lawyer. That way, when the lawyer refers throughout the document to Public Attachment ___, we insert a cross reference to bookmark SR_112, and it always returns an accurate number, even if we reorganize the order of our attachments.
Rhonda, Thank you for your amazingly quick and thorough reply! You are correct, Word does the Table and Figure numbering splendidly. I was trying to reference those numbers in the text, which I see is a function done quite well in Word using Cross Reference: ‘In Word 2007 and 2010: Display the References tab. In the Captions group, click on the Cross-reference button.’ Thanks again, Joshua.

With this expression we check only for records that are in the same year as the Inquiry date to increment the sequence. Again, the NZ function will automatically restart the sequence with each year. Cleary, though, we cannot generate this number until the InquiryDate has been entered. Is this value is a user entry, then you may want to check that it’s filled in before generating the number. Something like:
The partial sums themselves form a sequence {\displaystyle (S_{N})_{N\in \mathbb {N} }} , which is called the sequence of partial sums of the series {\displaystyle \sum _{n=1}^{\infty }a_{n}} . If the sequence of partial sums converges, then we say that the series {\displaystyle \sum _{n=1}^{\infty }a_{n}} is convergent, and the limit {\displaystyle \lim _{N\to \infty }S_{N}} is called the value of the series. The same notation is used to denote a series and its value, i.e. we write {\displaystyle \sum _{n=1}^{\infty }a_{n}=\lim _{N\to \infty }S_{N}} .

This difference is not simply a case of syntax. In order to provide a large workspace, conventional spreadsheets extend a table in X and Y to form a very large grid – ideally infinite, but normally limited to some smaller dimension.[N 2] Some of these cells, selected by the user, hold data. Data is manipulated using formulas, which are placed in other cells in the same sheet and output their results back into the formula cell’s display. The rest of the sheet is “sparse”, currently unused.[5] Sheets often grow very complex with input data, intermediate values from formulas and output areas, separated by blank areas. In order to manage this complexity, Excel allows one to hide data that is not of interest,[6] often intermediate values. Quattro Pro commonly introduced the idea of multiple sheets in a single book, allowing further subdivision of the data.


NCR (no carbon required) or carbonless forms, like the name suggests, have eliminated the need for carbon paper between sheets to create multiple copies of the same form. The paper is chemically treated to transfer the impression from the first page to the subsequent pages with very little pressure. This works because the bottom side of carbonless NCR paper is coated with micro-encapsulated dye that breaks when pressed. The top of the susequent sheet is coated with clay that reacts with the dye to form a permanent mark. When the top sheet is written on, the pressure causes the micro-capsules to break and release the dye onto the page beneath it.
I am trying to use mailmerge to print tickets. I tried using a column of sequential numbers on a spreadsheet and inserting that as a field into the mailmerge, but oddly, it used number 8 eight times on the first page, number 16 eight times on the second page, etc. So, I tried using a sequencing field as you describe. It worked great for the first page (numbers 1-8) but when I completed the mailmerge, it repeated numbers 1-8 on each successive sheet. What do I have to do to make this work in a mailmerge?

In answer to your first question, I don’t believe there’s any way to add your own heading names to the list of Chapter heading options in the Caption numbering dialog box. I tried creating a new heading style and setting it to Level 1 (on the Paragraph dialog box), but it didn’t put it into the list. That’s all I could think of that might set it, but it didn’t work.


If {\displaystyle (a_{n})} is a sequence of complex numbers rather than a sequence of real numbers, this last formula can still be used to define convergence, with the provision that {\displaystyle |\cdot |} denotes the complex modulus, i.e. {\displaystyle |z|={\sqrt {z^{*}z}}} . If {\displaystyle (a_{n})} is a sequence of points in a metric space, then the formula can be used to define convergence, if the expression {\displaystyle |a_{n}-L|} is replaced by the expression {\displaystyle {\text{dist}}(a_{n},L)} , which denotes the distance between {\displaystyle a_{n}} and {\displaystyle L} .
I know that PrintShopMail will do it, but I was wandering if there was a less expensive solution out there so that I could get numbered tickets (usually 4-up) right off the Xerox. I just want to avoid having to go the the Windmill after trimming and doing it the old fashion way. There is a tiny little copy shop here in town that is doing it, and am willing to bet that they are not using PrintShopMail, but I'm also not going to ask them to share their methods with a competitor. There has to be cheaper solution. I know that I can do it with auto page numbering in Indesign, but that means I can only print raffle tickets 1-up which wont work.
In this situation I would suggest using an Alternate Layout. Once the content is final, choose Create Alternate Layout from the Pages panel menu. Make sure to create the new layout the same size and orientation as the original and then use the Numbering and Section Options dialog to specify the numbering required for the second catalog. The Print dialog will then let you select which layout to print.
In bulleted lists, each paragraph begins with a bullet character. In numbered lists, each paragraph begins with an expression that includes a number or letter and a separator such as a period or parenthesis. The numbers in a numbered list are updated automatically when you add or remove paragraphs in the list. You can change the type of bullet or numbering style, the separator, the font attributes and character styles, and the type and amount of indent spacing.

There is no exit zero. If there is an exit within 1.499 km of the origin, Exit 1 is used. Exit 2 would be between 1.500 and 2.499 km of the origin. Subsequent 'exit zones' are at 1 km intervals. Letter suffixes are added at multi-exit interchanges, or where two or more exits exist within the same exit zone. For example, State Highway 1 (Southern Motorway) has an Exit 429A (Symonds St), Exit 429B (Wellesley St) and Exit 429C (Port). Instead of replacing existing ramp and link signs, the exit numbers were added as supplementary information. Thus drivers can navigate either by exit number or name. Exit numbers are only used for exits that may be used by all vehicle types. Bus- or emergency vehicle-only exits would not be numbered.

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