Informally, a sequence has a limit if the elements of the sequence become closer and closer to some value {\displaystyle L} (called the limit of the sequence), and they become and remain arbitrarily close to {\displaystyle L} , meaning that given a real number {\displaystyle d} greater than zero, all but a finite number of the elements of the sequence have a distance from {\displaystyle L} less than {\displaystyle d} .

Now, what’s the deal with the UniqueKeyVariant parameter for the RowNumber() function? We are not even using it all! True, but if we didn’t, Access will call RowNumber() only once for an entire query and thus we get “1” for the entire dataset. That is a good way to save on CPU processing – why call Now() for each row? In this case, we want to go against this CPU-saving measure and ensure that the RowNumber() is in fact called once per row to generate a new number for that row. Thus, we pass in a parameter — a primary key of a table is a good choice for this purpose. So we get a nice sequential number generated all in the query with VBA function.
Moreover, the subscripts and superscripts could have been left off in the third, fourth, and fifth notations, if the indexing set was understood to be the natural numbers. Note that in the second and third bullets, there is a well-defined sequence {\displaystyle (a_{k})_{k=1}^{\infty }} , but it is not the same as the sequence denoted by the expression.
Every time I open Outlook 2007 I get an error message regarding an add-in 'DCCExtensions' (DCCEXT32.DLL). It says the add-in cannot be loaded and has been disabled by Outlook. I've been getting this message ever since I uninstalled Winfax. How do I make this error stop appearing? Thanks. -- kapibarra Remove the addin from OL by using Trust Center, Addins. http://office.microsoft.com/en-us/outlook/HA100341271033.aspx#14 "kapibarra" wrote: > Every time I open Outlook 2007 I get an error > message regarding an add-in 'DCCExtensions' (DCCEXT32.DLL). ...
Hi All, I am trying to add the 'File" menu and "Window" menu of the Standard Toolbar to a custom toolbar but failing miserably! I think it should look something like: Sub AddMenuTitles() Application.CommandBars("MyCustomMenu").Controls.Add("File) Application.CommandBars("MyCustomMenu").Controls.Add("Window") End Sub Can anybody help please Regards Michael Sub test() AddMenuTitles True ' or false to delete End Sub Sub AddMenuTitles(bAdd As Boolean) Dim cbr As CommandBar Dim cbP As CommandBarPopup ...
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.
Your raffle might be subject to gaming commission or tax laws. Check with your municipality, state or province, and federal governments to make sure your raffle is legal. These government departments aren’t just enforcers. They are often great resources on how to run a successful fund raising raffle. Raffles are fun! Getting in trouble with the law or tax man is not.

Word's Numbering Explained by John McGhie, MVP - comprehensive and not pretty (Downloadable pdf file in letter size) - Reading this is vital to anyone attempting to use automatic numbering or bullets in a law office setting or other places where the documents are likely to be reused or heavily edited. See also How to Create a Template with a downloadable template with style-based numbering. I strongly recommend that you read both of these before doing anything with the contents of this chapter.


To define a sequence by recursion, one needs a rule to construct each element in terms of the ones before it. In addition, enough initial elements must be provided so that all subsequent elements of the sequence can be computed by the rule. The principle of mathematical induction can be used to prove that in this case, there is exactly one sequence that satisfies both the recursion rule and the initial conditions. Induction can also be used to prove properties about a sequence, especially for sequences whose most natural description is recursive.
- [Instructor] In this week's Word tip I'd like to address a question I'm often asked by people working in tables here in Microsoft Word and that is is there a way to quickly have numbers automatically fill up cells in the table much like they might in Microsoft Excel when you have incremental numbers that need to appear by simple clicking and dragging the corner of a cell. Well, yes, it can be done here in the table in Microsoft Word. It's not done the same way but it is just as easy and we're going to do it with this file, LeafAndMortar Inventory 040. If you have the exercise files, open it up. Now, if you don't have the exercise files, just use one of your own tables. All you need is an empty column. You can see here on page one we do have a table for garden tools and inventory and we need to number these and instead going into each cell and typing in a new number that increments by one, we're going to use a trick to have it automatically fill up that way. On page two of this document you can see there's a second table for hardscaping tools, so we want to differentiate these numbers, so we might want, for example, hardscaping tools, their item numbers to start with the letters HT whereas the garden tools up above might need to start with GT and then the number. Keep that in mind as we now go to the column where we want the numbers to appear. All you need to do is select the entire column. In this case we have a header column with a label in there, item number, so we're not going to use the trick of going to the top and clicking when that arrow appears, instead we're going to select the cells where the numbers need to go. With them selected, now we'll go to the ribbon. With the Home tab selected, go to the Paragraph group and just go to the Numbering dropdown arrow. Don't click the numbering button, that's going to add the default number but click the dropdown. You'll see the different numbering options that are already in the numbering library. You can hover over those to see what it's going to look like. You can see the numbers incrementing by one with a period or with brackets. We could use Roman numerals, even lettering here but if we want our own numbers, we go down a little bit further and click Define New Number. Give that a click. You should see the number style one, two, three selected. Click that dropdown and if you wanted to use something other than one, two, three, like Roman numerals or letters, they're there as well but we do want to start with just plain old numbers one, two, three. And you can see what shows up down below. The number format is the number and then a period and we see a sample of what that's going to look like down below. Well, the first thing we can do is click in that field just to the right of the period and hit your backspace key to take it out, we don't need the period. Now, we can move over to the left side of the number by using the left cursor key or you can click if you want just in front of the one and here's where we can add things like letters. GT, for example, then a dash and if that's all we need, we'll see GT-1, two, three etc. all the way down the column. Maybe you'd like to add zeros in there, like 01, 02 etc. You can do that as well. Once you have exactly what you want, simply click OK and it's done and by the way, that number format is there going forward, so the next time you want to use it, it's going to show up in your numbering library in the document as a number format and if it's one you've recently used, it shows up on this list as well, so you can choose it any time you like. Just click in the background and close that up, click outside the table to deselect everything to see how easy that was to get incremental numbers that start with letters and a dash. Now, scroll down to the table on the second page. Now that you know how to do this, you're going to create your own number style that starts with HT, a dash, perhaps a zero and then incremental numbers by following those same steps on this table. That's your homework knowing what you know after this week's Word tip.
The blog is pretty much step by step. Where it may not be that specific is, because, these are decisions the developer needs to make. For example, where to put the DMax expression is a matter of your workflow so I can’t tell you where to put it. I’ve given tips in the blog to help you decide. If you are having issues, then please give me more info about your application and I can suggest things.
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.
A subsequence of a given sequence is a sequence formed from the given sequence by deleting some of the elements without disturbing the relative positions of the remaining elements. For instance, the sequence of positive even integers (2, 4, 6, ...) is a subsequence of the positive integers (1, 2, 3, ...). The positions of some elements change when other elements are deleted. However, the relative positions are preserved.

This tip was very helpful. Now I have been able to automatically number dozens of examples in a linguistics paper, and as I revise the paper and insert new examples between the existing examples, the numbering is automatically adjusted. Now the next step is how to use bookmarks for the references to the examples in the text of the paper. The references need to point to specific examples, and need to be automatically adjusted when the numbering of examples is adjusted. Any ideas on how to do this?
- [Instructor] In this week's Word tip I'd like to address a question I'm often asked by people working in tables here in Microsoft Word and that is is there a way to quickly have numbers automatically fill up cells in the table much like they might in Microsoft Excel when you have incremental numbers that need to appear by simple clicking and dragging the corner of a cell. Well, yes, it can be done here in the table in Microsoft Word. It's not done the same way but it is just as easy and we're going to do it with this file, LeafAndMortar Inventory 040. If you have the exercise files, open it up. Now, if you don't have the exercise files, just use one of your own tables. All you need is an empty column. You can see here on page one we do have a table for garden tools and inventory and we need to number these and instead going into each cell and typing in a new number that increments by one, we're going to use a trick to have it automatically fill up that way. On page two of this document you can see there's a second table for hardscaping tools, so we want to differentiate these numbers, so we might want, for example, hardscaping tools, their item numbers to start with the letters HT whereas the garden tools up above might need to start with GT and then the number. Keep that in mind as we now go to the column where we want the numbers to appear. All you need to do is select the entire column. In this case we have a header column with a label in there, item number, so we're not going to use the trick of going to the top and clicking when that arrow appears, instead we're going to select the cells where the numbers need to go. With them selected, now we'll go to the ribbon. With the Home tab selected, go to the Paragraph group and just go to the Numbering dropdown arrow. Don't click the numbering button, that's going to add the default number but click the dropdown. You'll see the different numbering options that are already in the numbering library. You can hover over those to see what it's going to look like. You can see the numbers incrementing by one with a period or with brackets. We could use Roman numerals, even lettering here but if we want our own numbers, we go down a little bit further and click Define New Number. Give that a click. You should see the number style one, two, three selected. Click that dropdown and if you wanted to use something other than one, two, three, like Roman numerals or letters, they're there as well but we do want to start with just plain old numbers one, two, three. And you can see what shows up down below. The number format is the number and then a period and we see a sample of what that's going to look like down below. Well, the first thing we can do is click in that field just to the right of the period and hit your backspace key to take it out, we don't need the period. Now, we can move over to the left side of the number by using the left cursor key or you can click if you want just in front of the one and here's where we can add things like letters. GT, for example, then a dash and if that's all we need, we'll see GT-1, two, three etc. all the way down the column. Maybe you'd like to add zeros in there, like 01, 02 etc. You can do that as well. Once you have exactly what you want, simply click OK and it's done and by the way, that number format is there going forward, so the next time you want to use it, it's going to show up in your numbering library in the document as a number format and if it's one you've recently used, it shows up on this list as well, so you can choose it any time you like. Just click in the background and close that up, click outside the table to deselect everything to see how easy that was to get incremental numbers that start with letters and a dash. Now, scroll down to the table on the second page. Now that you know how to do this, you're going to create your own number style that starts with HT, a dash, perhaps a zero and then incremental numbers by following those same steps on this table. That's your homework knowing what you know after this week's Word tip.
Using the instructions in #5, add an incrementing SEQ field. You can highlight any of them, except the reset field. For step 7, enter n}. n is the default switch that inserts the next number in the sequence, making it easy to remember. You don't have to specify the \n switch, because it's the default, but you can add it if it helps document your choice.
Other notations can be useful for sequences whose pattern cannot be easily guessed, or for sequences that do not have a pattern such as the digits of π. One such notation is to write down a general formula for computing the nth term as a function of n, enclose it in parentheses, and include a subscript indicating the range of values that n can take. For example, in this notation the sequence of even numbers could be written as {\displaystyle (2n)_{n\in \mathbb {N} }} . The sequence of squares could be written as {\displaystyle (n^{2})_{n\in \mathbb {N} }} . The variable n is called an index, and the set of values that it can take is called the index set.
A variety of printing products use sequential numbering printing. Carbonless forms, invoices, receipts, business forms, contracts, purchase orders, office documents, event tickets, packaging and more all use sequential numbering.  The numbers can also be printed twice on the media if required. They can be printed in any color, but are often printed in black or red to make them stand out.
I have a document where in I have to make two kinds of page numbering, A catalog (individually made) which should always start at page 1, and the other is a compiled version where the pages should be a continuous page. They both have the same content but with different output so I tried using layers, but fail to set the page numbering to auto. because setting them would affect both layers.

In summary, paragraph numbering is really just an exercise in logic, and this blog post is showing the numbering styles for a very specific project. Your project may be similar, but not exactly the same. You just need to think though the levels and how you want to restart the numbers. I do my best to think it through correctly the first time, set it up, and then try as hard as I can to break it, so that I can find my errors. The good news is that once you get your numbers working, you shouldn’t ever have to think about it again.
I have two fields that should match, but one includes special characters while the other does not. Example: Field1 00ABCD123456123 Filed2 00/ABCD/123456/123/SBZ I need to find records where these two fields don't match, either by changing the display of one of them, or a query to compare Field1 character 7-15 with Field2 characters 9-14, 16-18. Hope this makes sense. Can anyone help? Thanks! Take a look at the following from the Access Help file it might be what you're looking for... Extract a part of a text value The following table lists examples of expressions that ...
This chapter (web page) takes you through how numbering is supposed to work in Word and the various controls. It is useful, but primarily on SEQ fields and simple numbered lists and also as reference showing the menus, dialogs and controls and going through the concepts for outline numbering. To actually set up outline numbering that works, refer to the Kelly and McGhie articles.
Yes, I have used this system in a multi-user setting. As noted, the key is to commit the record immediately after generating the sequence. However, if the application is one where there is very heavy transaction processing. In other words dozens of users creating records simultaneously, you might want to guard further against duplication. At the speeds computers process, it is not impossible that multiple users will grab the max value before it can be incremented and saved.
See Word's Numbering Explained by John McGhie, MVP - comprehensive and not pretty (Downloadable pdf file in letter size) - Reading this is vital to anyone attempting to use automatic numbering or bullets in a law office setting or other places where the documents are likely to be reused or heavily edited. See also How to Create a Template with a downloadable template with style-based numbering.
Although sequences are a type of function, they are usually distinguished notationally from functions in that the input is written as a subscript rather than in parentheses, i.e. an rather than f(n). There are terminological differences as well: the value of a sequence at the input 1 is called the "first element" of the sequence, the value at 2 is called the "second element", etc. Also, while a function abstracted from its input is usually denoted by a single letter, e.g. f, a sequence abstracted from its input is usually written by a notation such as {\displaystyle (a_{n})_{n\in A}} , or just as {\displaystyle (a_{n})} . Here A is the domain, or index set, of the sequence.

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.
Word's numbering feature is easy to use, but it doesn't work in all situations. For instance, it can't handle an inline number sequence. By inline, I mean a sequence of numbers positioned within regular text. Fortunately, the SEQ field code handles these situations. I'll start by showing you how to insert the SEQ field code manually, for those one-time occurrences. If you use this feature often, you'll want to add AutoCorrect items for quick insertion into your text. So we'll look at that, too.

It sure is possible! Numbering and Section options are available in the Pages Panel menu. These options allow you to define what page starts a section and how it should be numbered. Insert a Current Page Number marker (Type>Insert Special Character>Markers>Current Page Number) in a text frame on a page or master page (recommended), select the first page of your section, open the Numbering and Section Options dialog, and enter 200 in the Start Page Numbering at: field. Hope this helps!

If you know in advance that you need outline numbering for your paragraphs, you will want to choose the correct format from the Bullets and Numbering dialog box. Applying one of the preset formats to a paragraph or paragraphs that are already bulleted or numbered applies it to the entire list. There is a specific tab for outline numbers — the Outlined Numbered tab.
Hello! I would like to chart varying salaries against specific Low, middle and high numbers. Any suggestions on how to show this? Example: Salary 1 10000 Salary 2 12000 Salary 3 16000 Low 9000 Mid 15000 High 19000 THANK YOU! Do you want the Low-Mid-High values to be like a benchmark to measure salaries against? You could put horizontal lines across your chart, and use markers for the salary data. Here' a few ways to get your lines: http://peltiertech.com/Excel/Charts/AddLine.html - Jon ------- Jon Peltier, Microsoft Excel MVP Peltier Technical Services Tutorials...

I have a problem with Outlook 2007 and the add-in Access Outlook Add-in for Data Collection and Publishing. This add-in worked when I first installed Outlook 2007 when installing Office 2007 Enterprise. The add-in created a sub-folder in my Inbox named Data Collection Replies and worked well until about 6 weeks ago. Now I can’t get the add-in to work at all even though it appears in the list of COM.adds in Outlook 2007. More perplexing is the error message I now receive EVERY time I click on any email message to read it. The message is titled ‘Custom UI Runtime Error in...

Word's Numbering Explained by John McGhie, MVP - comprehensive and not pretty (Downloadable pdf file in letter size) - Reading this is vital to anyone attempting to use automatic numbering or bullets in a law office setting or other places where the documents are likely to be reused or heavily edited. See also How to Create a Template with a downloadable template with style-based numbering. I strongly recommend that you read both of these before doing anything with the contents of this chapter.


Typically the second option of saving as a CSV file is the one to choose for use with Data Merge. Click the create button to choose a file name and location, make sure that a header has been assigned and click OK. This creates the CSV file that contains the sequential numbers that can then be used in a Data Merge by opening the Data Merge palette, clicking the flyout and clicking Select Data Source…
The values for Number position (here called Aligned at), Text indent and Follow number with are in the Position section at the bottom. With multi-level numbering, you also have easy access to settings that control the type of numbering at each level, the characters before and after each level’s numbers (period versus parenthesis), and the list number style (1, a, I, etc.).
The process described in this tip works best if you have a single list in your document. Note that the sequence field starts at the beginning of the document and numbers through the whole document, based on the identifier you use. If you are going to have multiple lists in your document, then you can add a second AutoText entry to help with this. The only difference in the above steps is that the SEQ field you define would look like this:
It will ask for the number of copies that you want to make and sequentially number each copy.The first time this macro runs, the first copy will be numbered 1 and when it finishes running, it will store in aSettings.Txt file the number that is one more that the number on the last copy.The next time the macro is run, it will start numbering the copies from that number. If when you first start, you want the numbers to start at some number other than 1, run the macro, entering 1 as the number of copies and then open Settings.Txt file and replace the number in the file with the number that you want as the first in the series.At any time thereafter, if you want the series to start at a particular number, you can open that file and replace the number in it with the number that you want to be the first in the series.
Our purchasing agent would like to be able to have the customers PO# from the Sales Transaction Entry screen show up on the PO's. Is this doable in Report Writer or can it not be done? We are using GP v9.0. As I still consider myself a newbie with RW, I would appreciate detailed instructions if possible. Thank you in advance for all responses. It is not possible thru traditional table relationships in Report Writer. Let me explain: you can certainly link the Purchase Order Work table to the SOP_POLink table and the SOP_POLink table to the SOP Transactions Work table, but will...
You can control whether your next paragraph number continues the current sequence or starts again at 1 within that same right-click menu. If one of your numbers gets out of sequence, simply right-click and choose Continue Numbering. If you want to force the number back to the beginning (say, you’re switching from interrogatories to requests for production), choose Set Numbering Value (which will also give you the option of continuing the previous list).
In the example I explained, I was using a list, but did it with un-linked text boxes using “continue from previous number” and “continue numbers across stories.” I’m guessing that there is no way to tell InDesign that even though there are 4 text boxes on the page, that there are two different lists? I’d probably have to just create two threaded stories for that scenario to work.
A sequence space is a vector space whose elements are infinite sequences of real or complex numbers. Equivalently, it is a function space whose elements are functions from the natural numbers to the field K, where K is either the field of real numbers or the field of complex numbers. The set of all such functions is naturally identified with the set of all possible infinite sequences with elements in K, and can be turned into a vector space under the operations of pointwise addition of functions and pointwise scalar multiplication. All sequence spaces are linear subspaces of this space. Sequence spaces are typically equipped with a norm, or at least the structure of a topological vector space.

All of this happens in the Bullets & Numbering dialog box, shown below. You will definitely want to use paragraph styles for this. My first one is called Chapter title. You will need to begin by changing the List Type to Numbers for all of the levels, and you must both name the List and use the same named list for all Levels. You do this by selecting the List > New List.

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.
Is there a way to do this: I have a form called "List of Proposals Written" that is listed by th Proposal number. Is there a way to display on another excel spreadsheet, the mos current Proposal number? I know Access you use something like Dmax(ProposalID)+1 What should I do in Excel:confused: Any help would be greatly appreciated! Michae -- Message posted from http://www.ExcelForum.com "daniels012 >" < wrote > I have a form called "List of Proposals Written" that is listed by the > Propos...

A sequence is said to be monotonically increasing, if each term is greater than or equal to the one before it. For example, the sequence {\displaystyle (a_{n})_{n=1}^{\infty }} is monotonically increasing if and only if an+1 {\displaystyle \geq } an for all n ∈ N. If each consecutive term is strictly greater than (>) the previous term then the sequence is called strictly monotonically increasing. A sequence is monotonically decreasing, if each consecutive term is less than or equal to the previous one, and strictly monotonically decreasing, if each is strictly less than the previous. If a sequence is either increasing or decreasing it is called a monotone sequence. This is a special case of the more general notion of a monotonic function.
Rush Flyer Printing offers sequential numbering printing services. We ensure that highest standard of quality is maintained throughout the project to ensure accuracy. We use modern technology and state-of-the-art equipment to ensure that the printing gets done with highest quality standards. We understand that most business today require fast turnaround time and hence offer same day printing solutions for various products. We can even offer same day store pick up for clients from Long Island and New Jersey.

I created something like this for a demo and didn't have to use a script. If I remember correctly, I leveraged Workflow. Essentially, the form submission would trigger a very simple workflow that would look at the current counter value on a database table and increment it by 1. The next form would then start with a lookup that would grab that counter and put it into a read-only (or hidden) field. Rinse and repeat.
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