Inevitably the first people to purchase such technology are effectively the beta testers, whether they like it or not. It’s quite a smart move to avoid being one of the first to buy a cutting-edge gadget. The first in the queue pay more, and experience more problems than people who wait for the next versions to be released (which are often cheaper).

If your new phone – or games console – or portable mp3 player – does have an issue, look on the net and see if other individuals have experienced a similar problem to you, and what steps they took to resolve it. You can oftentimes save yourself a lot of time of going through the same hoops as others. Many times other people have down a specific number for Nokia help for instance.

There many more advantages for using computers, but I will stress on the numeric computation aspect of those advantages.

I have done a test involving numeric computing to test the power of my Central Processing Unit of my computer. What I also did the test using Windows Xp and Redhat Linux, which are both installed on the same computer.

One of the reasons why I did the test, that I am about to explain, was my urge to sense the power of computer by looking at the screen.

Another reason was, I was getting fed up with Hearing about computer specs, without even knowing what they can do, or mean.

Here is an example:

Pentium II, 350 MHZ, Ram=256MB
Pentium III, 500 MHZ , Ram=512MB

and so on…

What is the power of the above specs?. How to approximate how many times the above P III is more powerful than the P II?.

Here is what I did:

I used my Pentium II, Ram=288MBs computer that has Windows XP and Linux installed on the same Hard disk in the same computer.

I tried to use the maximum numeric computational power of the computer by trying to get the result of multiplying the number ‘2″ by itself 99 times and every time I got a result, I added another “9″ until the computer can’t handle the numbers anymore.

Using Windows Xp, I ran the calculator by typing “calc.exe” in the Run box. Then, I used the scientific calculator to handle the exponential calculation.

The most I was able to compute was 2 power 99,999. When I tried 2 power 999,999, Windows XP resulted in an error saying: “Invalid input for function”

Then, I rebooted my computer, and picked Redhat Linux to run on the same computer instead of Windows Xp. Once Linux prompted me to login, I used the mathematical utility Linux has. It is called by typing “bc” at the command line.

Once I ran “bc”, I typed 2^99,999, the same maximum number I used in Windows Xp calculator . In about 2 seconds, i got the result.

Then, I tried a bigger number, 2^999,999 which Windows Xp scientific calculator could not handle. In about 5 seconds, I got the result on the screen. then, I added one more digit to compute 2^9,999,999 which is 2 multiplied by itself 10 Millions times minus one.

I waited about 35 minutes, then Linux BC application produced the result on the screen by showing few screens full of numbers from left to right, and
top to bottom.

Now you probably thinking, how does this computing relate to the performance of the CPU, or the whole computer as a whole.

Here is the answer:

What I discussed so far is using certain numbers to get the result of the formula 2 power 9,999,999. While running the calculation using “bc” in Linux. there another command to track the running processes in real time.

So, as you are running the calculations, you use another utility called “top” in RedHat Linux.

Once you run “top”, the system shows you on the screen a list of applications, with all details about the resources consumed for each. The list is updated every few seconds, and each line shows the name of application.

So, to see the computation performance of “bc”, you look up the line that says “bc”. Then, you look on the same line that will show you information about “bc” like:

1-the time it is been running
2-The memory consumption in % of total ram
3-How much CPU power is being used for the application in %
and more variables.

You can watch the screen for the updated time the application
has been running for the current moment. Once the calculation is presented on the screen, you will know the calculation is done. You look at the time you just recorded right before the application ended.

The time the application took to calculate the formula: 2^9,999,999 and the memory used, in addition to the CPU power will give you an approximate idea about what your computer can do.

Also, you can use the above test to compare two computers and get and idea about the power.

Here is an example:

If computer P II, Ram=256Mbs took 30 minutes to compute 2^9,999,999; then, you ran the same test 2^9,999,999 with P III, Ram=512Mbs that took about 15 minutes, which is 1/2 the time it took before.

Then, you can approximate that the power of P III is about twice that of P II. Do, you get the idea?

In summary, there is an easy way for you to explore the power and performance in front of you, right on the screen. I was able to achieve this task by using Linux, and Windows XP that are installed on the same computer. I also found out that Linux can do better computation that Windows Xp.

Thanks,

George Chamoun created a Free guide that shows you step by step how to install two operating systems. To get the free guide, Click this link: Get the Free Guide:
http://www.dualbootguide.com/join1.html

I can remember as far back as 1982, when personal computers were just beginning to be introduced into the Awards & Engraving industry. Digitizing was painful! This was long before the development of computer aided design (CAD) software. All drawings had to be created from beginning to end with no mistakes or you had to start all over from the very beginning. You sure didn’t want the phone to ring or have a customer come through your door while in the middle of any drawing!!

A few years later we were blessed with CAD programs that enabled you to digitize logos and images much faster. Using software commands to create vectors, curves, ovals, arcs and numerous other short cut keys, allowing you to improve your work and in many cases enhancing the original artwork. Certainly one of the coolest things was being able to stop, save your work and pick up where you left off at another time. Whether it was later that day, the next day or sometime the following week. It was nice to not feel “married” to the system and be able to take a break if needed.

As computers became more and more popular, hardware and software progressed quite rapidly. It wasn’t long before people were talking about scanning and converting their raster files into vector formats. Many individuals retired their digitizing pads and began the “on screen” clean up process, believing this was their salvation from the point to point digitizing, we all thought was so nice in the beginning! Well, I must say for me it lacked the luster some were boasting of over the phone. Most all tradeshow demonstrations were what I would refer to as, “smoke and mirrors”!

Honestly I thought it was more challenging to scan and clean up my artwork as opposed to simply digitizing it from scratch. To me it was much easier and faster to continue to use CAD software and turn out a drawing that was much cleaner, with fewer points and maintained a much smaller file size. Most digitizers were (and are) concerned about the overall byte size of the finished logo. This was greatly due to the limitations of numerous proprietary systems. Forcing the digitizer to be mindful of their final output and keeping points to a minimum.

Through the years of now more than two decades, computers and software as we once knew it, has come a long, long way. We’ve all seen dozens of “state of the art” programs and hardware improvements to fill a small garage! Yet many of us still find ourselves looking for that “perfect” solution that would allow us to stop fretting over artwork.

Well, my friend … I have a solution for you. Let me give you an analogy or rather a comparison of digitizing (or scanning, it’s really all very much the same involved process), versus mowing your yard. Yep, you read it correctly … Digitizing vs. Mowing!

Think about it … just because you can mow your yard, does that mean you should? (Again, I realize some people get satisfaction and pleasure from mowing, my wife loves to mow our yard). Much like I stated at the beginning of this article. You may do it for pleasure or feel as if you’re stuck with it! You may choose to push mow with your standard hand mower or step up to a riding mower and sit comfortably within the leather seat. Either way, you’re still “married” to the task at hand.

Digitizing = Hand Mower (push from point to point)
Scanning = Riding Mower (scan across the land)

You’ve heard it and read it many times, “your time is money”. Most of us at some time or another have chosen to hire someone to do our yard work. Whether it be mowing or simply raking leaves, we’ve shuffled the chore to another individual or company. So I pose the question to you, “Why don’t you hire someone else to do your digitizing?” Choose a respectable service and send your artwork to the professionals for digitization.

With technology as advanced as it is today, you can email (or fax) your logo to the pros and have it back within 24 hours (two business days for some). This creates a win-win situation for all parties involved in the process. You win by saving time and money (remember, your time is money), not to mention the mental challenges that may arise should you continue to do everything “in house”. Your customer wins as well! They receive a top quality reproduction of their artwork in a digital format. This could and should open up more avenues for you to “lock in” their business for life. Giving you the slight edge over your competitors and versatility to create more quality products and services for your clients.

Aubrey Richardson is the founder of LogoFax.com one of the largest and fastest growing clip art sites online, while leading a team of successful business entrepreneurs on the net. Find out how you can tap into creating financial freedom for yourself and get in on the action for FREE ==> Clipart247

The company approached the problem of laying cables for the new network with an innovative idea. Instead of digging up roads, it used the existing sewer pipelines to get the job done. This approach made sure there was no hassle in dealing with roads, and reduced the cost of the project. The Bournemouth network is the first of fifteen such networks to be launched in different towns.

The project aims to go to many places all over the UK and aspires to connect 2000 homes each week as the project reaches full speed.

In the meantime, as testing of the network is still ongoing, Fibrecity customers are enjoying their installation as well as service for no charge. However, this will last only until the engineers wrap up their work in the area and move on to Dundee, where the same promotion will be on offer. Once the project moves to the next town, users will have to pay a fee to avail the service. The work at Dundee is expected to finish by the end of 2010. For more info on what broadband is available to you, click here.

Chief executive officer of i3 Group, Elfed Thomas, elaborated on the advantages of Fibrecity over BT’s fibre optic network. He said that Fibrecity was providing with fibre optic connections right up to the end user, whereas, BT still uses copper networks, an outdated and much slower technology, and something that Fibrecity never relies on. This ensures that the speeds that Fibrecity offers are significantly higher than those offered by the BT networks.

While conducting sibling DNA testing, the DNA laboratory determines the genetic profile of the alleged siblings and, based on the type of genetic material inherited by each sibling, a DNA index is determined. Based on the results of the DNA index, the sibling relationship is established and a higher value DNA index indicates a greater likelihood that the two individuals are true biological siblings. For instance, a DNA index of less than 1.00 indicates non-relatedness, whereas a DNA index of greater than 1.00 indicates that the two tested individuals are more likely to be true biological siblings.

A half-sibling DNA index can also be obtained to determine whether the siblings share only one common parent, versus two common parents. The ratio of the half DNA index versus the full DNA index establishes whether the two individuals share one parent or two parents. DNA testing can also help determine if twin siblings are fraternal or identical. For instance, if the DNA profiles of the twins are different then the siblings are considered fraternal; however, if the profiles are identical then a probability of being identical twins is calculated.

Sibling DNA tests are unlike paternity tests and do not provide a conclusive result; however, the tests might provide you with an indication of whether you are more likely to be or not to be the true biological sibling of the other tested individual.

If you have a staff member that has data recovery expertise and
could serve as a data recovery specialist when needed of course
that is beneficial but not necessarily a necessity. Outsourcing
to a data recovery specialist is usually the best and most
effective way to salvage your data if data recovery services are
needed.

It is important; however, to have a well thought out data
recovery plan when you have a business such as an internet
business that is highly dependent on electronic data for its
operation. In order for the services of a data recovery
specialist to be beneficial or even possible, regular backups of
data must be made and stored in a safe location so that in the
event of a catastrophe – a natural disaster or a fire – access to
data for the purpose of restoration is possible.

Without backups, a data recovery specialist can sometimes
retrieve and restore data from devices such as computer hard
drives, mainframe computers, tape backups or similar technology
even if there are no backups to be used for restoration. However,
without backups that are kept safe by being stored in a remote
location, there is always potential that your data will be lost
forever and that a data recovery specialist won’t do you a bit of
good. When you lose data, your service to your customers declines
and the very existence of your business as you know it is
threatened.

A good data recovery plan for an internet business should
certainly identify a data recovery specialist that is easily
accessible in the event of an emergency that requires the
services of a data recovery specialist. It should also contain
contact information for the data recovery specialist who
hopefully is available twenty-four hours a day even on weekends
and holidays to ensure that customer service is not jeopardized
by extensive downtime.

The data recovery plan should be updated frequently to make sure
that the data recovery specialist specified by the plan is active
and available. It is a good idea to list more than one data
recovery specialist whose credentials have been approved in case,
for some reason, the preferred data recovery specialist cannot be
reached when needed.

In addition to identifying a data recovery specialist and an
alternative data recovery specialist, a data recovery plan should
contain procedures for day to day operations to ensure that PCs
and databases are backed up regularly.

The importance of backups to data recovery is often recognized,
but sometimes the need for keeping backups stored in a safe,
remote location is overlooked. On site backups are fine if the
problem that creates the need for a data recovery specialist is
related to hardware failure, but other events can actually damage
the backups as well as the primary storage devices for your data.

Automated, offsite backup services that are accomplished
electronically are an excellent solution for ensuring that your
data recovery specialist has access to unaffected, up-to-date
backups of your data if your primary place of business is
subjected to fire or natural disasters.

Choosing a backup provider that is in a different geographic area
is also a great idea, especially if you live in an area that is
prone to natural disasters. If you can find an automated backup
service provider with an on-staff disaster recovery specialist
coordination of your data recovery plan can be simplified.

Copyright Christopher J. Enders. Are you at the end of your rope,
fed up and confused by all the scrambled internet marketing
advice you’re getting? Whether you are new to internet marketing,
or a website owner who wants to make more money from your
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If mankind’s most brilliant minds are to design Autonomous Underwater vehicles (AUVs), which use only solar power and batteries, which flex polymer imitation muscles then we need to do more than just understand how a shark, dolphin or tuna fish swims. We must become one with it. We must get inside of not its mind, but its body to understand how it uses the hydrodynamics, ocean currents and its own kinetic energy as it interacts as one with the water.

http://www.thetech.org/robotics/universal/breakout_p07_robotuna.html

I therefore propose that we fit a thin skin over a dolphin with sensors on it. You know like a shirt that people put on their dogs to keep them warm, sure hey look silly, but you get the idea. The thin skin will be broken into grids and as the dolphin moves the grids will be stretched and compressed, each time the dolphin powers its way thru the water. The dolphin may think this is a stupid experiment, but we can give them extra fish for dealing with the extra aggravation. The sensors, via a wireless underwater system to our computer, will record this movement of the grid system. Additionally the grid system will have pressure sensors to tell us the amount of dynamic pressure from the water is being forced on each grid. Similar to the tests NASA does for wing loading and pressure on the skin of an aircraft wing during flight and various maneuvers.

Once these tests are completed we then know exactly how and when our RoboTuna or Robotic Fish AUV must move to maintain the level of efficiency to run on solar powered energy, yet at speeds of sea life. This study needs to be funded in a grant to three different Universities for 1 million dollars each and the information learned needs to be given to the United States Naval Research for use in net-centric warfare strategies and also given to the United States Coast Guard for future use in surveillance AUV for patrolling our coastline.

More efficiency means less power needed, greater range, faster speeds and more agility to complete the assigned tasks. We must be thinking to the future and check out what the other brilliant species of the planet have done to get them to the tops of their food chains.

“Lance Winslow” – Online Think Tank forum board. If you have innovative thoughts and unique perspectives, come think with Lance; www.WorldThinkTank.net/wttbbs/

In recent years, the Grameen Bank has financed and supported a number of projects aimed at removing social and financial barriers and creating opportunities for those less fortunate. Grameen Telecom is one such example. The central aim of this company is to provide collateral-free loans to rural villagers for use in establishing local communications networks. This model has become known as the Village Phone.

They have now committed significant resources to sustainable energy development. The cornerstone of this effort is the Photovoltaic Program. In Bangladesh, only 30% of the population is receiving energy from the electrical power grid. In this developing nation, the infrastructure to provide energy to every household simply doesn’t exist. In an effort to address this problem, Grameen Shakti has financed the installation of thousands of solar energy systems in rural communities.

This has created immense opportunities for people in rural villages. Children now have the ability to pursue their studies long after the sun has gone down. Businesses now have the ability to operate beyond their traditional work hours, thus increasing productivity and sales. A world of opportunity has opened up for an entire generation of rural villagers. As a consequence, they are no longer rural villagers. They are now members of our global village.

One of the most amazing consequences of this program has been the level of technological engagement that has occurred among the youth in Bangladesh. For young people in rural communities, the future is bright. Due to the advancement in technological knowledge and understanding, the demand for skilled workers has increased at a phenomenal pace. To address this concern, Grameen Shakti has also established training programs that educate young people in the principles of electronics and engineering.

It is both exciting and encouraging to witness the immediate and tangible effects of an enlightened business model that measures its true profitability by its social impact. It is an idea that is completely foreign to the western capitalist mindset, and one that serves as a shining example of the power of an idea. Western corporations take heed; there are lessons to be learned in rural Bangladesh.

Jim Fritz is a committed environmentalist, and a life long member of various environmental organizations. He is also a member of the editorial team at thesolarguide.com – an enlightened source of information about the latest developments in renewable energy, environmental education, solar consumer goods and more.

In conventional mathematics, an infinitesimal is defined as a number that is greater than zero, but whose value is too small to be measured. Such a concept seems as refractory to understanding as the concept that Infinity is a value so large that it cannot be measured. Both Infinity and infinitesimals have the quality of being unmeasurable, so for purposes of space/time Experience, the infinitesimal and Infinity are disregarded in favor of the fixed, tangible measurement.

However, measurements in general are of very limited value without a reference measurement. For example, to know what a “meter” is, you must have a reference meter that you can use in order to verify that, in fact, you have measured a true meter. Otherwise, a meter might be different for everyone who measures it. The surprise is that, even with a “reference” meter, no two meters are measured to precisely the same length because accuracy is dependent both upon the limit of resolution of the measuring device and upon the one doing the measuring.

So, is there a reference that we can use no matter what the measurement in question is? Truth is that the only reference we have that never changes is Infinity, and Infinity cannot be measured. Infinity is the Reference because Infinity is the essence of Reality. All other “references” are arbitrary dimensionals along whatever whole dimension the measurement is made.

Recognizing the need for a reference, scientists have sought reliable standards to be used as reference measurements. The ideal, or most reliable, standard would be a finite absolute measurement that never changes; no such measurement exists, so scientists have settled for standards that rarely change rather than one that never changes. However, choosing any measurement greater than zero, yet less than Infinity is, in truth, an arbitrary choice. Infinity, while Absolute, is not a measurable quantity so is not recognized as a standard for finite measurements.

But Infinity is the only true (absolute) Reference, so what does this mean in terms of standards and measurements? What this means is that any measurable quantity, when compared to Infinity, is so small that a true (absolute) measure cannot be assigned to it, only a symbolic or relative one. Furthermore, any measure which, by definition, is a limit, cannot have any meaning unless compared to another limit. Thus, the true meaning of measurements is relative, not absolute.

This also means that everything that has a measure assigned to it meets the definition of infinitesimal when compared to the true Reference, Infinity. Thus, the quality of the infinitesimal, rather than being of mere esoteric interest to mathematicians, is of vital importance in understanding Reality.

But what of numbers, such as 2, 11, or 1028? While the conventional understanding of numbers is that they can be arranged in a series such that at one end you have the smallest and at the other end you have the largest, this concept can be true only in a relative sense, as in the comparison of one finite quantity to another finite quantity. In terms of Reality, all finite numbers are divisive. What this means is that 2 symbolizes the 1 divided into two parts, each of which is smaller than the 1, and 11 symbolizes the 1 divided into 11 parts. Contrast this with the conventional understanding that 2 is “twice as many” as 1, and 11 is “eleven times as many” as 1. The observation that 2 is “twice as many” as 1, for example, is a comparison between two fractions of the One, and that is what yields the illusion of “greater” and “lesser”. This is easier to grasp if you consider that “2″ and “1″ are actually 2 ⁄ and 1 ⁄ . So, 2 ⁄ is “twice as much” than 1 ⁄ , but this is a relative comparison only because so long as Infinity () remains a part of each fraction, the actual values are infinitesimal. Leaving Infinity in each fraction references the Reference (i.e. ⁄ , the One), so in order to make space/time sense of these numbers, 1 ⁄ and 2 ⁄ must each be multiplied by in order to remove it from the equation. You are then left with 1 and 2 as relative quantities.

Look at an example using a group of apples. To evaluate this quantity of apples, the “universe” of apples must be referenced by default in order to establish a relative measure and thereby give meaning to it. This universe of apples is a finite quantity, so it can be used as a relative reference so as not to yield infinitesimals. Within the universe of apples, a portion of it, such as 11 apples, is a fraction of, not more than, the universe. Eleven apples do not exist apart from the universe of apples, so to measure 11 apples you must divide that universe such that you have a quantity you can call “11″.

Furthermore, you cannot reference the universe of apples without referencing the universe of fruits in order to establish what an apple is, relative to all other fruits! This referencing must go on until you, at long last, reference the Reference, Infinity. However, since a measured quantity becomes infinitesimal when compared to Infinity, those working with finite quantities will avoid any referencing that involves Infinity.

Finally, regarding things as separate items able to be counted is a concept that is part and parcel of the paradigm that separation is reality. Separation cannot be Reality, given that the concept of “all is One” is Reality. Therefore, the infinitesimal is an artifact of the illusion of separation, and is dependent upon the concept of limits, which is also illusory.

The primary reason why I am proposing that numbers greater than 1 are divisive is the basic mystical Truth that “all is One”. Thus, anything that is “not all” is less than, or “smaller” than One. One, then, is the center, and all numbers “below” One as well as all numbers “above” One are divisive in nature, and represent iteration of the One. With this in mind, we find that numbers as a series can be represented on a polaric axis, with the “infinitesimal” (a number just slightly more than zero) at one pole and the opposite of the infinitesimal (a number just slightly less than Infinity) at the other pole. In fact, all numbers are slightly more than zero because the definition of Infinity means that no matter what the “size” of a number, the number still meets the requirements of an infinitesimal when compared to the Reference, Infinity! So that observation shows that the two “poles” of this numeric spectrum are equivalent because the value of both of them is infinitesimal! Here’s another example: using this understanding, what is the difference between two points labeled 0.5 and 2 on this axis? The answer is that they are equivalent in value, because 0.5 is 1/2 of the One and 2 is the One divided into two equal parts. The symbols simply distinguish which “side” of the axis the measurement is being made along.

The “size” of this axis, as defined by the two polaric limits, is arbitrary, and in fact this variable and arbitrary nature is part of the reason why the space/time universe, or panfractalic, manifests as it does.

Next, what of negative numbers, and “imaginary” numbers, such as the square root of -1? These numbers are found along a second and third axis, respectively, defining coordinates in a space existing along three dimensions when taken together with the first axis. The first dimensional coordinate axis is the axis I described with “1″ at the center, the numbers “less” than 1 on one side and the numbers “more” than 1 on the opposite side. The second axis has -1 at the center, but the two sides are the numbers “larger” than -1 (like -0.5) and the numbers “smaller” than -1 (like -2, etc.).

The third axis has the root of -1 at the center, and the parts of the axis on each “side” of the center are like the parts on the first axis I described, with the exception that each of the values are multiplied by the square root of -1, or the symbol “i”, as designated by mathematicians. For example, the number on the third axis corresponding to the number “2″ on the first axis is the number 2i, or 2 multiplied by the square root of -1. The opposite side example would be a number such as 0.5i, or 0.5 multiplied by the square root of -1.

Using this model, a point may be located anywhere in this complex space by using three coordinates, one from each axis given. The center coordinates are (1, -1, 1i); contrast this observation with the conventional model, in which the coordinates of the center are (0, 0, 0). The idea that 0 is the center is congruent with the concept that such a thing as true “nothingness” exists. This would also include the idea that from nothing came all that we know of as the physical universe. Likewise, the possibility of having “nothing” (0) is an artifact of the concept of limitation and separation which, as I have previously explained, is not Reality. To “have nothing”, in Truth, would mean that you had no dimensional connection whatsoever to whatever you feel you don’t have, and the only way that would be possible is if Infinity could be separated from Infinity. I will cover the idea of zero in greater detail in the next chapter.

The apparent difficulty here is how 1, -1, and 1i can be equivalent, or identical in value. This difficulty is due to our use of symbols to represent dimensionality, and is not an insoluble mathematical problem. You see, while we are using different symbols to represent coordinates in a space along three dimensions; the center of one axis is the same as the center of the other two axes, but with each axis itself oriented differently (i.e. at right angles) to the others. In order to describe coordinates for points on the different axes and distinguish the axes one from another, we use a different symbol (the minus sign, “-”, or the letter “i”) but the “three centers” are all, in fact, the one center, or One.

Another way of describing the equivalency of 1, -1 and 1i is to state that all three have an absolute value that is the same. This absolute value is actually Infinity ( ⁄ , the One). This also shows the center to be the Infinite Point.

Having established that 1, -1, and 1i are equal in value, let us go further and point out that the nature of Infinity is that no matter where you are in Infinity, you are at the center. Infinity, by definition, is the Center. So if you select any point, that point is the center because the ultimate distance from “it” in every direction equals Infinity. With this in mind, the ancients were correct in asserting that the Earth was the center of all, but they would have been just as correct to state that the Sun was the center, or the Moon, your heart, or any other point in space (or out of space)!

Mathematical functions using negative numbers and/or imaginary numbers are necessary when working with multidimensional constructs because without them you’d have a difficult, if not impossible, time specifying values in more than one dimension. With this in mind, imagine the fun of working with all 11 space/time dimensions in a mathematical way!

The apparent complexity increases once you recognize that in this space we have defined with the three axes, there are infinite possible alternate sets of axes with set orientations differing by degrees (or fractions thereof) relative to the set of axes defining our space! This model provides the basis for the existence of alternate universes; these are not the same as the different realities resulting from the dimensional threshold maxima and minima that I described in Fractalic Awakening – A Seeker’s Guide. The alternate universes I am describing here would have the same applicable threshold maxima and minima defining what we know of as space/time, but the three fundamental spatial dimensions would be shifted axially relative to our universe. This shift would be along a dimension at right angles to the three axes I illustrated above (corresponding to the 4th dimension, time), and this shift could be represented by coordinates measured in degrees around a sphere relative to the “location” of our universe. For example, a one degree shift would mean that the net shift of all three axes in the alternate universe would equal a one degree temporal difference relative to the three axes that describe our universe. This alternate would be one degree separated from our space/time universe no matter how much time passes.

This shift along a dimension equivalent to time in nature makes these alternate universes physically invisible to us, but they can be perceived in our imagination because consciousness/Awareness can transcend our space/time dimensional limitations. This “imagination” can be developed so keenly that the perceiver actually “sees” the alternate in minute detail. In fact, it is the perception of these alternates (in varying degrees) that is the source of ideas for our “fiction” literature and movies.

Incidentally, conventional mathematics is actually a mathematics of infinitesimals. This is the logical deduction resulting from the recognition that all values that are finite, or less than Infinity, are infinitesimal. As I have demonstrated in this chapter, practical use of conventional numbers is possible only when Infinity is removed from the equation. However, removing Infinity from a mathematical formula does not eliminate it in Reality, but rather merely gives the illusion that Infinity does not exist. This observation also reveals that conventional mathematics is the mathematics of illusion.

The ability to interact with both infinitesimals and Infinity is one of the reasons why fractals, as generated on a computer screen and manipulated with programs that allow exploration and magnification of the constructs, are so useful on Path and in understanding of Reality.

About the Author

LariAnn Garner has sought knowledge of the meaning of life since her teenage years, and continues on that quest today. This quest has led her through exploration of different versions of Christianity as well as studies as wide-ranging as the Edgar Cayce material, Lobsang Rampa, the work of Robert A. Monroe and the Monroe Institute, the Bartholomew material, Ramana Maharshi, and much more. Her first published work is Fractalic Awakening – A Seeker’s Guide (http://fractalicawakening.com). She lives with her family in south Florida, U.S.A.

In late 2004 the media was all agog with the small hominids found on Flores Island where I had written about artifacts showing sea travel technology must have existed. I had argued with many people about the issue and their argument had some merit in that we had no proof of a connection to humans or the nearby Mungo Man. However, once we found these creatures which some researchers even think could be part chimpanzee the issue became clearly in my favor. I think the divergence of human lice proven through DNA technology going back 1.18 to 1.8 million years ago is even more telling and I look forward to the further research on pubic lice that might prove hominids cross-breeding. Here is one source for further review.

“It was astonishing and exciting enough to have discovered a new – and wholly unexpected – hominid species last week. The discovery of the partial skeletons of three-foot tall “hobbits” on the Indonesian island of Flores would have been front page news however old they were. But what made them really extraordinary was their age. They weren’t fossils. These were bones rotted to the consistency of blotting paper, less than 18,000 years old; and there are grounds for hoping that the creatures lived on into historical times. Some might even be alive in sufficiently remote island jungles today. The native legends about “Ebu Gogo” suggest that contact between Homo sapiens and Homo floresiensis took place within the last century on Flores.

The idea that our ancestors had contact with other human species is a profound and disturbing one. The whole term “human species” begs the question. If they are other species, can they really be what we mean by “human”? Human is a moral category as much as a biological one. That’s why it is such a useful weapon word in the debates about abortion. To call someone or something human is generally meant as praise, and implies that they should be treated as we treat ourselves.

This interpretation of “humanity” is not, of course, a necessarily human trait. It’s certainly not encoded in our genes. Most cultures, in most of history, have had no trouble in treating other human beings as domesticated animals or very much worse. But we, who speak English, call this process “dehumanisation”.

The skeletal fragments, and the legends from local people, make this story far more vivid than the other evidence for human encounters with other humanoid species. That shouldn’t obscure the fact that this is the second such story this autumn, and the first one is far more chilling.

The evidence there came from lice. As the parents of almost any school age girl will know, human lice are extraordinarily tenacious and well adapted to life on our scalps. They don’t survive for more than a few hours away from human flesh.

The war between lice and their hosts has continued for billions of years – there are species of louse adapted to almost every sort of primate and many species of birds. In humans, they infest our head, our clothes, and our bodily hair. Curiously, the body lice are the same species as head lice – although they behave quite differently, living in clothes, and coming in to feed on skin once or twice a day. Head lice live in hair and feed more often.

But it turns out that DNA analysis shows there are two distinct sub-species of head lice in humans. All over the world, except in western North America, they are the same. But there is a population of lice along the Pacific coast of North America which have been evolving separately from the rest of the world for about 1.8m years. The only way to make sense of this is to assume that their separate development took place on Homo erectus, who also split off from our hominid ancestors about that time ago.

So how could these lice have reached their present, wholly human hosts? It seems to me that this could only have happened through some act of primal genocide when Homo erectus met Homo sapiens somewhere in eastern Siberia. Lice can only travel between living bodies, or very freshly dead ones. If the transmission had been from living bodies, we would expect the same pattern in bodily lice. It isn’t there. Nor is there any trace of Homo erectus in our DNA. So the lice must have come from very fresh corpses and it is hard to suppose that they had died peacefully just before the intruders turned up.

The story of “Ebu Gogo” sounds more improving. According to local villagers, these creatures were around until about a century ago: three feet tall, hairy, and speechless, though they could imitate human speech, like parrots. The villagers tolerated them and even fed them, though they would only eat raw food, until they stole and ate a baby. They drove them from their cave with blazing bales of grass. Shortly thereafter, the villagers themselves moved off and western settlers arrived. The cave where the Ebu Gogo lived has not been found. But if it is – and scientists are looking – it might yield some extraordinary remains.

These wouldn’t be technological. Perhaps the saddest aspect of the whole story is the slow loss of technology it implies. Ebu Gogo seems to have been a descendent of Homo erectus, also known as Java man, who reached the island about 840,000 years ago. This was almost certainly something that required boats, which seem a pretty human-level technology.” (1)

Author of Diverse Druids
Columnist for The ES Press Magazine
Soon to be featured with Philip Gardiner