Automata or finite state machines can typically be thought of as directed graphs, with edges labeled using some specific alphabet, Σ. Most familiar types of automata transition from state to state by reading input letters from Σ, following edges with matching labels; the ordered input for such an automaton forms a sequence called a word (or input word). The sequence of states encountered by the automaton when processing a word is called a run. A nondeterministic automaton may have unlabeled or duplicate out-edges for any state, giving more than one successor for some input letter. This is typically thought of as producing multiple possible runs for a given word, each being a sequence of single states, rather than producing a single run that is a sequence of sets of states; however, 'run' is occasionally used to mean the latter.
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!
Hi Scott, I had a question regarding the sequential numbering Apex example…I am looking to automatically restart the sequence every month, which is not a problem using your example (i.e. changing the year to month in the expression). However, I would also like to add in a condition for year, so that the sequence restarts for each month of each year (i.e. my problem is for example that Feb 2011 last sequence number is 5, and then in Feb 2012 this becomes 6, where I would like it to be 1). I am wondering what the syntax would be. Thanks in advance, Lawn.

You’ll need to decide on a selling price. You don’t want to price them too high so that many people would find it too expensive. The lower the price of each ticket, the more tickets you’ll sell. If you price your tickets at $1 each, expect each buyer to purchase from one to five tickets. If your tickets are $5-10 each, each buyer will likely purchase no more that two.
There are different online solutions available to perform sequential bates numbering. However, various limitations are associated with them i.e. applicable for single PDF form, does not provide the option to batch insert serial number in multiple PDF forms, formatting issues are present in the output file etc. Thus, it is recommended to opt for an automated and trustworthy solution to implement this task.
i’ve had to do tons of this lately and found that for the amounts of tickets being done (e.g. 7000 x 10 tickets + cover & mailer) that chuckT’s solution almost 2 years ago is similar to what i use. would be interested to know if others doing similar VDP are using a wholly indesign/excel solution, or if specific VDP software such as XMPie are being used.

A series is, informally speaking, the sum of the terms of a sequence. That is, it is an expression of the form {\displaystyle \sum _{n=1}^{\infty }a_{n}} or {\displaystyle a_{1}+a_{2}+\cdots } , where {\displaystyle (a_{n})} is a sequence of real or complex numbers. The partial sums of a series are the expressions resulting from replacing the infinity symbol with a finite number, i.e. the Nth partial sum of the series {\displaystyle \sum _{n=1}^{\infty }a_{n}} is the number
If the sequence of real numbers (an) is such that all the terms are less than some real number M, then the sequence is said to be bounded from above. In other words, this means that there exists M such that for all n, an ≤ M. Any such M is called an upper bound. Likewise, if, for some real m, an ≥ m for all n greater than some N, then the sequence is bounded from below and any such m is called a lower bound. If a sequence is both bounded from above and bounded from below, then the sequence is said to be bounded.

The Artifact ID should NOT be your PK. There is no reason for it to be and to try and use it as such will be a headache. A primary key is simply a unique identifier for a record. Many purists will tell you that users should never see the PK and in your case, I would recommend that. Use an Autonumber as you PK and you can use that as your corresponding Foreign Key in related records. To prevent duplication you can make the combination of Collection Point ID and Artifact ID a unique, multi-field index. Then display the combination as I indicated where you need to show the user a record ID. This is all explained int he blog.

Some freeways' exit number starts from a advanced number (i.e. higher than 1). Some reason of starting a number higher than 1 is due to the expectation that the highway will extend on both ends. For example, Ontario Highway 400 starts at 20 because it was expected that the south end of the highway would extend to downtown Toronto (which was never built). Another reason to use a higher number is that the freeway is branching off from another freeway. An example is British Columbia Highway 5, which branches off British Columbia Highway 1 and starts at 170.

So how long should a doc number be? There’s no hard & fast rule, but a document number can be as short as 5 digits, with a simple discipline descriptor and a sequential number assigned to certain project elements. Most projects can benefit from a numbering protocol that is under 15 digits in length. When broken down, it only needs to hold Author-Discipline-Project Location-Sequence. This is far easier to understand for everyone on the project and, most importantly, its simplicity means there’s less chance of someone, somewhere, making a mistake.


For the purposes of this article, we define a sequence to be a function whose domain is an interval of integers. This definition covers several different uses of the word "sequence", including one-sided infinite sequences, bi-infinite sequences, and finite sequences (see below for definitions). However, many authors use a narrower definition by requiring the domain of a sequence to be the set of natural numbers. The narrower definition has the disadvantage that it rules out finite sequences and bi-infinite sequences, both of which are usually called sequences in standard mathematical practice. In some contexts, to shorten exposition, the codomain of the sequence is fixed by context, for example by requiring it to be the set R of real numbers,[2] the set C of complex numbers,[3] or a topological space.[4]

Ontario has the oldest exit number system, having started posting exit numbers sequentially in the 1960s along Highway 401; it switched to mile-based numbering before Canada went metric. Most short freeways do not have exit numbers, and until about 2000 (with Highways 11 and 69/400), incomplete freeways also did not have exit numbers. Interchanges with multiple exits are lettered A-B.

In the Republic of Ireland, junction numbers have existed since the opening of the first section of the M50 motorway in 1990, however due to the short length of Irish motorways until the early 2000s they were normally ignored by the general public. They are beginning to come into popular usage now, and since 2005 have been given greater prominence on road signs. With the development of the inter-urban motorway network under the National Development Plan and Transport 21, the National Roads Authority has adopted a numbering scheme for the inter-urban roads that will see Junction 1 being designated as that road's junction with the M50 in most cases. This has meant renumbering of existing junctions on some motorways, most notably the M7 motorway. Non-motorway dual carriageways forming part of major inter-urban roads also have junction numbers, however only grade-separated interchanges are numbered.
Before selling, try to raise as much awareness about your raffle as you can. Flyers are easy to distribute and display – download yours from our free raffle flyer template page. Choose places where you expect a lot of foot traffic. Not only can you hand them out to passersby, but with the right permissions, you can display flyers in store windows and other prominent locations.
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.
If the second number on your raffle ticket is one higher than the first number, you must have accidentally put the <> tag after the first number (causing the next number, on the same ticket, to increase by one). You only need the <> after the second number on each ticket, so the next ticket gets a new number. (But you don't need it on the final ticket on the **page**, because the next **page** automatically gets a new number)
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