Author: <span class="vcard">Carolyn Duncan</span>

How Internet Fax Can Help Your Business

Internet fax offers the user a lot of great things to its users. Making use of online fax service could also help your business for less. It is especially helpful and ideal for people who are on the move and who’s business require them to be always on the go.

Easy Retrieval

Save yourseff from the hassles of the old fax machineOne of the perks of using this service is the easy retrieval of faxes. Users can read their faxes on the computer like that of an email message. Moreover, faxes can be sent and received immediately. Contrary to the traditional fax machine which could only handle a single fax at a time and could sometimes be disrupted by busy signals, the internet fax allows you to send as much as you need depending on your package or your monthly subscription. The monthly savings you get could be used for modern mode of marketing services like search engine optimization services or Google advertising. Even Jason Berkowitz SEO recommends you can use these saving for social media promotion through Twitter!

Since small businesses make use of fax transmission for their transactions, it is advisable to use the internet fax since they can’t afford to lose profit due to missed faxes. In addition to that, they could save more on just using a modern internet fax service than buying a fax machine. More data could be handled with internet fax, and this directly translates to higher profits.

Internet vs. Traditional Fax

Mobility is another important factor that sets the internet fax apart from the traditional fax machine. For a user to send or receive fax using a fax machine, he/she needs to stand in front of the machine and wait till the document is sent or for the document to come. This small thing could create some issues especially for businesses which send employees to various places or which require occasional work from home.

Using online fax service could improve the workflow in the same manner as the other notable latest technologies such as cloud computing. Small businesses could take advantage of this online fax service features very easily and instantly. It could often give their clients the impression that their business is already big enough because of the superior organization and mobility.

You can browse through some websites like these online fax services where you can see a lot of helpful notes about the free online fax services. You will also learn how to maximize the use, how to protect your email from the faxed scam, step by step guide to using it, and many others. Read on so you’ll know the pros and cons of using this system.



LaGrange spline

lagrange splineWell, here’s the first of hopefully many iterations of this project. As it stands, all it does is interpolate ln(x) with 3 pre-defined points: (2,ln2),(3,ln3) & (4,ln4). Please feel free to add interpolating points (is that even the right word?) by clicking on the screen. It takes the x-co-ordinate of the mouse click & adds a tau. Hopefully in the future, it’ll be a tad more flexible, but I barely understand what I’m doing right now, so … BTW, I’m not entirely sure this is done right. I have tested it on about ten points, and it seems to work right, but y’never know. Also, it dies if you give it the same point twice.

Newton Approximation

MAN! Was this a pain or what? Finally got it. Turns out I had it about six hours ago, but there was a virtually invisible typo ( i’s and 1’s look pretty similar, wouldn’t you say? No?) Anyway, here it is. As before, you can click & put in a new interpolating point. Beware though: it only supports the first derivative, so I make no claims as to what it is that you get if you click in the same place more than twice. Also, due to some minor display optimizations(?), if you add a new point too far from the last, you can’t see it (the graph moves off the screen and it stops painting), so keep that in mind while playing around.

Shift-click to get function value at the mouse location.

L2 Piecewise Linear Splines

Ok, here it is. Nothing fancy, no interactive mouse stuff, no adding points. Nothin’. Just an L2 piecewise linear spline approximating the cosine, with taus at 0, Pi/2 & Pi. Hopefully, I will soon have this interactive, but, as you know, I need to write a matrix solving routine for an arbitrarily large matrix. This ain’t easy. It ain’t real hard, but it ain’t easy. I’ve got a matrix calculator goin’, but I need to re-write it to be able to (gracefully) solve for a vector. Oughta be up Real Soon Now.

Hermite Splines

Here’s this one, and, hoo boy, is it cool. You get to change the range of interpolation by filling in the fields, and change the scaling factor (zoom in/out) by filling in that field (big number=closer view), although changing the interpolation range resets the polynomial to interpolate only at the endpoints. Neat, huh?

Bessel Splines

Well, this is just about the same as the Hermite. As before, you get to change the range of interpolation by filling in the fields, and change the scaling factor (zoom in/out) by filling in that field (big number=closer view), although changing the interpolation range resets the polynomial to interpolate only at the endpoints.





Graph Theory

graph theoryWell, this is a pretty basic tool for playing around with graphs. Just click the “New Graph” button for a window, then shift-click to set vertices anywhere you want. To set an edge between two vertices, ctrl-click on a vertex, which should get an odd blue halo. Now ctrl-click on the vertex you want an edge to. An edge should appear. To delete a vertex, double-right-click on it, and to delete an edge, single-right-click on the box at the edges midpoint. I believe for Mac users holding down the Apple key while clicking will give you the same result, although I’m not sure, since I’m not lucky enough to have a Mac on the desk here, so please Email me with the key that works. To select several vertices or edges (for doing a shortest-path test, getting info on a bunch of ’em at once, etc.) use shift-ctrl-click. You will note more advanced tools,such as graph coloring, cloning, completing, and many other choices, some of which do not begin with the letter ‘c’, available in the oh-so-professional-looking menu bar.

GraphTool version 1.0b is the updated version of my now very old ‘Graphs’ program, which is located here, and although it is actually less functional now than its ancestor is, that will soon change. I hope to, before long, offer GraphTool as an API for those studying graphs, so that anyone who speaks java and who takes the time to understand the (very small) GraphTool API could write a ‘plugin’ to do whatever they were interested in. Network flow analysis, for example. Or some graph matrix operations. Whatever.

GraphTool is written in java. This does not automatically mean that it is an applet, which it is, in fact, not. While the old version of it was an applet, I made the decision that saving files was important enough to warrant moving away from applets and towards actual applications. The fact that there are no java2-compliant browsers, besides maybe Mozilla, made that decision easier – my target audience would have to download a java2 virtual machine anyway. I may sometime in the future make an applet version.

Do you have a PowerMac? Does this not work? Well, lemme tell you, I tried to make it work, Lord knows I tried. But seeing as how this is really not a problem with the program, but rather with Netscape 3.0 (no, really, it is!), I decline to spend any more time on it, especially when all you hafta do to run it is get the MRJ from Apple. See here for more info on it. It works well, if somewhat clumsily, and, frankly, I really don’t think anyone is actually using/desiring to use this stuff. If I’m wrong, please let me know. I suppose if enough people want/need it, I can resume my efforts. So there. Nyaah.

Other Late-Breaking News

The Line Graph generator actually works now.

As it turned out, the coloring algorithm I presented earlier was incorrect. The new algorithm is:

Select a vertex. Check to see if it is the same color as a connecting vertex. If so, increment the chosen vertexes color, then check all the vertices it’s connected to again, continuing to increment when a conflicting color is found.

Select another vertex, and do the same procedure until all vertices have been completely checked.

At this point I should mention that the program doesn’t work reliably if you color the graph, then remove vertices and/or edges then color it again, since the algorithm doesn’t know how to decrement colors, so it’ll add unnecesary colors sometimes.

You may notice a new menu option “Color Graph by Build Method” – what, you ask, is that? Well, it’s another coloring algorithm. Basically, you take the graph and erase all but one vertex. Then you add one in, along with the edge to the other, if one exists. Then, if the color of the one you just added is the same as the first one, you select a color for the new one that doesn’t cause a conflict. Then add a third vertex with the arttendant edges, and repeat the color adjustment. This seems to work pretty well most of the time (certainly better than the other algo), and when it screws up, the colors are much easier to spot. For me, anyway. I’m color-blind, so the other algorithms colors are tough on me. For a long time I was convinced the first algo was infallible because I couldn’t see the difference between a dark brownish and a dark red. Ack.

DISCLAIMER: Due to an alarming number of parents, schoolchildren and primary-school teachers apparently wasting vast amounts of time trying to make this produce a bar or pie graph, I would like to take this opportunity to say: “Hi! This ain’t about that kind of graph! This is a tool for visualizing Graph Theory problems, which are studies of relations between sets. If you need to make a bar graph of something, sorry, but you’ve ended up in the wrong place”.

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