The most important sequences spaces in analysis are the ℓp spaces, consisting of the p-power summable sequences, with the p-norm. These are special cases of Lp spaces for the counting measure on the set of natural numbers. Other important classes of sequences like convergent sequences or null sequences form sequence spaces, respectively denoted c and c0, with the sup norm. Any sequence space can also be equipped with the topology of pointwise convergence, under which it becomes a special kind of Fréchet space called an FK-space.

Other examples of sequences include ones made up of rational numbers, real numbers, and complex numbers. The sequence (.9, .99, .999, .9999, ...) approaches the number 1. In fact, every real number can be written as the limit of a sequence of rational numbers, e.g. via its decimal expansion. For instance, π is the limit of the sequence (3, 3.1, 3.14, 3.141, 3.1415, ...). A related sequence is the sequence of decimal digits of π, i.e. (3, 1, 4, 1, 5, 9, ...). This sequence does not have any pattern that is easily discernible by eye, unlike the preceding sequence, which is increasing.


I have a large job for a client who uses antique computers. They are so old that he can't run Lightroom. As a workaround, I posted the images I wanted him to look at on SmugMug and we had a disaster. Their sequencing on screen does not match my "as shot" sorting on my Lightroom (4). Is there a way I can print sequential serial numbers/ids on my images before I upload them to SmugMug so we are always talking about the same image?
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.
Being the printer, I can’t say I pass the job on to the printer. :-) We do it using auto page numbering, export it as one big pdf, and then use our imposition program to lay the file up multiple times on a page. A lot of jobs we do leave the number blank, and use the numbering machine later, but we’re getting more and more jobs that are run on digital presses like the Docucolor 250 and have numbers too small for the numberer, so we have to do them in the file. This works fine for single-sided jobs, but when a job numbers on one side, but not the other, it gets tricky, especially if it’s NCR, which has to be duplexed.
Set up a matrix in Excel, one column for each ticket position (stack) and one row for each sheet, plus one for field names. Fill the first column down in consecutive order, then the second, starting where the first column leaves off, and so on. Afet a couple of columns are filled, you can auto fill across the rows, too, so the whole thing takes only a couple of minutes. Name the stacks and use a different field for each position on the page when you do the merge. The trick is to set up using a custom file for the total number of tickets or whatever, divided into the correct number of stacks and sheets.
Here, you’ll be given the chance to name your AutoText entry. Name it carefully — for AutoText to work correctly, the first four letters of each of your AutoText entry names will need to be distinct, since these first four letters will be the prompt for Word to offer to complete the phrase for you. My suggestion is to use Interrogatories, Production and Admission as your names, but use whatever is convenient and memorable for you.
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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. A Current Page Number marker must be set on pages in order to use this feature. The Current Page Number is a special character inserted in a text frame on a page or master page (recommended) where the page number will appear, by selecting Type>Insert Special Character>Markers>Current Page Number.

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.
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?
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’d like to share my solution. It came to me partially in my sleep, I tried refining it this morning but because of time, finally had my production person print the manually numbered tickets so that we could deliver them to the customer who needed them today. Here is my solution. I deduced that it would be better to let a program designed to count, do the counting. I used Excel. I then let InDesign CS4 do the merging. Here’s the formula.
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...
Auto-Number is a very easy to use software program developed by a printer (35+ years in the industry) to eliminate manual or letterpress numbering. The program will print up to sixteen numbers in any location, increment and duplicate. No Experience Necessary! Any person with basic computer skills is able to master this software within minutes. We’ve included set-up templates for the most common jobs. Use as is or modify them to your specs.
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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