Aryabhatta, The Indian Mathematician

Aryabhatta (476-550 A.D.) was born in Patliputra in Magadha, modern Patna in Bihar. Many are of the view that he was born in the south of India especially Kerala and lived in Magadha at the time of the Gupta rulers; time which is known as the golden age of India. There is no evidence that he was born outside Patliputra and traveled to Magadha, the centre of education and learning for his studies where he even set up a coaching centre. His first name “Arya” is hardly a south Indian name while “Bhatt” (or Bhatta) is a typical north Indian name even found today specially among the “Bania” (or trader) community.
Whatever this origin, it cannot be argued that he lived in Patliputra where he wrote his famous treatise the “Aryabhatta-siddhanta” but more famously the “Aryabhatiya”, the only work to have survived. It contains mathematical and astronomical theories that have been revealed to be quite accurate in modern mathematics. For instance he wrote that if 4 is added to 100 and then multiplied by 8 then added to 62,000 then divided by 20,000 the answer will be equal to the circumference of a circle of diameter twenty thousand. This calculates to 3.1416 close to the actual value Pi (3.14159). But his greatest contribution has to be zero. His other works include algebra, arithmetic, trigonometry, quadratic equations and the sine table.
He already knew that the earth spins on its axis, the earth moves round the sun and the moon rotates round the earth. He talks about the position of the planets in relation to its movement around the sun. He refers to the light of the planets and the moon as reflection from the sun. He goes as far as to explain the eclipse of the moon and the sun, day and night, the contours of the earth, the length of the year exactly as 365 days.
He even computed the circumference of the earth as 24835 miles which is close to modern day calculation of 24900 miles.
This remarkable man was a genius and continues to baffle many mathematicians of today. His works was then later adopted by the Greeks and then the Arabs.
Blood in Stool – 7 Reasons Found in the Colon

Blood in stool is often discovered with some perplexity, accompanied appropriately by exclamations of ‘bloody’ (not expletive). Dots of blood, scarlet red, stand out unmistakably on excrement. Maroon red blotches of blood besmirches the toilet tissue. Bright red spots of blood dribble into the toilet bowl or down the legs. Quite naturally, a sudden bout of fear causes our hearts to jump a beat or two.
No undue alarm is warranted yet as the hemorrhaging (technical word for bleeding) could be any one of 7 possible causes arising from the colon. Mindful attention to ensure early diagnosis and correct treatment will reduce any unsettling lifestyle changes as the best part of the 7 causes are treatable. Do not be unconcerned. Commence close monitoring. Without delay, consult your doctor if bleeding and pain lingers for more than a week.
Appropriate treatment following proper diagnosis can often quickly resolve the problem. More critically, blood in stool may be the consequence of some type of cancer.
Melena or Hematochezia
Hematochezia (maroon or bright red colored blood) or melena (black sticky or tarry stools) are two medical categorizations for the less technical term rectal bleeding. Whilst recognised as rectal bleeding as the exit is the rectum, the origins of the blood may be any of 7 causes in the colon (large intestine). Cancer, colon polyps, diverticulosis, Crohn’s disease, ulcerative colitis, intestinal ischemia and peptic ulcer are the 7 known causes in the colon.
Colorectal Cancer
This is the third most frequent form of cancer on earth and the third most frequent reason for of cancer-related death with a fatality toll of around 640,000 annually. It is the reason why one should see a medical specialist for continual blood in stool.
Tumours in the colon, appendix and rectum are classified as colorectal cancer. Colonoscopy (visual inspection by micro-camera inserted via the anus) is the chief means of ascertaining colorectal cancer. Treatment focuses on surgical excision and chemotherapy. Timely discovery often leads to a total cure. Those over 50 and those with family history of cancers are classified under the higher risk group. Colorectal cancer is gender blind, affecting both women and men, with no conspicuous bias for either sex.
This next point bears taking note. Quite in contrast to what is reported elsewhere, colorectal cancer commonly produces occult (not visible to the naked eye) blood in feces i.e it is NOT a regular reason for visible blood in stool! According to the University of Michigan Health System, colorectal cancer does cause bleeding but special tests are requisite to confirm the presence of occult blood. Crucial accompanying symptoms to watch out for are diarrhea, constipation, abdominal pain, weight loss, appetite loss and incessant fatigue.
Colon Polyp
Affixing on the walls of the intestines or the rectum, polyps are frequently benign and may be raised or flat. Those above 50 years of age and with a family history of polyps and colorectal cancer are prone to polyps. Contributory factors include lack of exercise, obesity, alcohol and smoking. It would seem that no one knows the real cause.
Whilst benign, polyps are usually excised during colonoscopy as they can become malignant. Polyps do not usually cause noticeable symptoms. But in others, blood in stool is present.
Diverticulosis
Pouches (diverticula) stretching from the colon wall is distinctive of diverticulosis. Diverticula growth is postulated to be a result of abnormal colon pressure, the causes of which are not entirely distinct. Contributory factors include deprivation of dietary fiber. If food gets embedded in diverticula, infection may set in leading to diverticulitis. Complications from diverticulitis can ensue if an infected diverticulum ruptures and disseminates bacteria to the abdominal cavity lining. The possibly deadly peritonitis can materialise.
Diverticulosis do not cause distinct symptoms in most people. Mild cramps, constipation and bloating are some noted symptoms. Yet others suffer more acutely, including nausea, vomiting and rectal bleeding as the most common symptoms. The peril of peritonitis emphasizes the need that blood in stool should first be examined by a doctor. A CT (computed tomography) scan is 98% efficacious in diagnosing diverticulitis.
Ulcerative Colitis
IBD or inflammatory bowel disease, under which colitis is classified, affects the large intestine (colon) and the small intestine. Inflammation by itself is a healthy bodily response to heal damaged tissue. Like a tap that must be turned off, inflammation sets off curing of injured tissue but must terminate thereafter or greater tissue harm may ensue. Ulcerative colitis is caused by ulcers which are erosion of the mucous membrane lining.
Apart from other symptoms, blood in stool is frequent. The risk of peritonitis from colitis is the key reason for diagnosing it as the cause of rectal bleeding.
Crohn’s Disease
Crohn’s disease is an auto-immune disease whereby the body’s immune system provokes harmful inflammation by assailing the gastrointestinal tract. It can develop in any part of of the gastrointestinal tract, from the mouth to the anus. But it usually affects the small and large intestine (colon).
Smoking, genetic makeup and industrial environmental exposure are believed to be contributory causal factors even though definitive causes are unknown. The symptoms are blood in stool, abdominal cramps, severe bloody diarrhea, blood on toilet tissue or in the toilet bowl, fever and weight loss.
Often termed as granulomatous colitis, Crohn’s disease can go into abeyance and happen again periodically throughout life. Currently, there is no known surgical or pharmaceutical solution for Crohn’s disease. Early detection is important for efficacious control of the symptoms and checking recurrences.
Intestinal Ischemia
Ischemia is a suppression in blood supply to any part of the body. Dysfunctional arteries result in tissue damage due to the deprivation of blood nutrients and oxygen. Intestinal ischemia is the depletion blood supply causing inflammation of the large intestine; a result of blood clots, blood vessel constriction and general high blood pressure.
Symptoms include blood in stool, urgent and violent bowel movements, weight loss, nausea, diarrhea, abdominal pain and cramps, abdominal bloating and fever. Urgent medical attention is needed to rejuvenate intestinal blood supply if there is serious consistent pain. It may be crucial to surgically circumvent blocked blood vessels and remove blood clots and damaged tissue. To arrest clots and infections, respective medication includes anticoagulants and antibiotics.
Peptic Ulcer
An exceedingly painful ulcer, this is located in the gastrointestinal tract. An erosion of the mucosal membrane that is at least 0.5cm in diameter is an ulcer. Commonly mistaken to occur in the stomach, peptic ulcers are actually prevalent in the duodenum (initial part of the small intestine). Peptic ulcers are largely presumed to be caused by a bacterium that inflicts chronic gastritis.
Symptoms include blood in stool (melena), abdominal pain, bloating, nausea, appetite and weight loss, vomiting of blood and at the extreme, perforation of the intestine. This can lead to possibly deadly peritonitis and requires emergency surgery. Antibiotics and antacids can be used to cure milder cases.
Hemorrhoids
The above 7 causes is the rationale why rectal bleeding demands the skills of a medical doctor who can render a precise diagnosis. Appropriate treatment and medication, possibly including surgery, can accelerate the path to recovery.
Lest you be too distressed by the above narrated causes, blood in stool is most usually due to the relatively innocuous internal or external hemorrhoids.
How to Spot Bad Mole?

How to spot malignant mole?
This morning you took a bath. The warm water feels so nice during the cold winter day. There was some funny skin itching on you back. You looked in the mirror, turned this way , that way. There is small mole on your back You remember this spot had been there for years, since childhood. Did this spot get that strange itching?
Recently you have heard the news that there are more than 50000 of new melanoma cases every year. This number grows 3% a year.
What is going on? Is this small spot on you back went out of control?
Several types of skin tumors exist. Many are slow growers. Many give rare metastasis. Simple removal cure majority of skin tumors.
Melanoma brings troubles big time.
Melanos = black, oma = tumor.
You can detect melanoma by self-exam. Skin cancers show themselves much easier than any other types of cancer.
In the same time you can cure melanoma by simple surgical resection. However, catch this tumor in early stage. Late stage metastasize. Surgeon can not cut off every metastasis in your body.
There are numerous sites dedicated to melanoma self-exam. Just type in the word “melanoma” into any search engine. Follow instructions.
Fair skin people have more chances of getting melanoma. However, dark skin people develop melanoma too.
Everybody has moles. Women even use moles to charm. How to find if your mole became dangerous?
Dangerous signs include ABCD:
Asymmetry
Border
Color
Diameter
A- asymmetry. Suspicious mole does not look like a round or oval blot. Often, early melanoma looks rather like a blot with an odd shape.
B- borders. Borders become irregular, uneven, fuzzy. The edges of the blots become notched.
C- color. Color of normal mole should be more or less homogenous. Change in color is very suspicious . There are shades of brown, black, tan, red. Mottled color is suspicious.
D- diameter. Change in diameter is suspicious too. Mole that is bigger than 6 mm is suspicious. Everybody compares 6 mm to a pencil eraser (though few people actually use it extensively). Just to get idea about the borderline size.
Besides ABCD there could be other signs of dangerous mole:
E – enlargement and elevation over the time
Also worrisome signs include easy bleeding and erythema (redness) around the mole.
Itching and pain in the side of mole make you suspicious as well.
History of melanoma in Family should also raise suspicions.
Some skin problems look like melanoma, but are actually harmless. Anyway, do not gamble with them. Even experienced physician can not always tell if the lesion is malignant or not. It is better to be safe then sorry and check the troubling changes soon.
Some rare types of melanoma exist. Because even obvious melanomas are not always diagnosed on time, the unusual types becomes much more deadlier. Often doctor sees them too late.
Melanoma under the nails. Melanoma of mucous membranes. (Mouth, nose or guts) Amelanotic melanoma – this one is not even colored.
The treatment will be excision with margins and biopsy, but most important of course is to catch melanoma Know that the treatment depends on the thickness of the tumor and the presence of distant metastasis.
Surgeon or dermatologist cuts off the melanoma. Then, Pathologist (doctor specializing in lab diagnostics) looks the sample under microscope.
He classifies the tumor. The grade of the tumor gives the clue to the chances of your survival.
There are several classifications
Breslow classification measure the penetration of the lesion into skin by millimeters. Know that > 0.75 mm is already dangerous, but > 4 mm is wacking.
What is 4 mm. It is nothing. Right? Take a ruler and check how 1 mm looks and how 4 mm looks.
So this is why it is important to catch melanoma early.
There is also Clarks classification that measures penetration of the melanoma into the skin and other layers.
TNM classification standardizes the grading.
You can not know the grade unless you excise and measure the melanoma penetration under microscope. It is not a do-it-yourself project. Surgeon and pathologist will do it.
The time of evolvement 1-2 years.
The frequency of melanoma is increasing. It might be because of more people get sun damage. Also other reasons may play role.
Treatment of melanoma includes surgical removal, chemotherapy, immunotherapy, radiation therapy.
Polyester Filament Yarn – A Brief Overview

Polyester Filament Yarn has been on of the good textile products in greater demand due to its tensile capacity. Many products right from fabrics to hosiery and also some home textiles products.
Let me first begin with the manufacturing of filament yarn and then polyester which are amalgamated by a process. Partially oriented tow or partially oriented yarn is made by winding the filament-receiving cylinder winds at a speed slightly higher than the speed of extrusion. Filaments from a large number of spinning positions are collected to form tow, which can later be cut into staple. If the fiber is to be used as continuous filament yarn, the filaments are wound onto metal cylinders, paper tubes, or bobbins. The diameter, or fineness, of spun yarn, filament yarn, or monofilament is designated by the term denier, which is the weight in grams of 9,000 meters of yarn or filament. Yarns for apparel and home furnishings usually have deniers ranging from 80 to 160.
Polyester fiber spinning and drawing equipment can usually be used to produce other melt-spun fibers such as nylon 6 and nylon 66, with relatively minor modification. Waste polyester polymer or fiber is sold, reprocessed, burned, or buried, depending largely on the purity. Some of the leading licensors of polyester fiber technology are Zimmer, DuPont/Chemtex, Inventa, Karl-Fischer, and NOY. Polyester fibers are produced by extruding molten polyethylene terephthalate (PET) through a metal plate or thimble with fine holes called a spinnerette (“spinning”). Next, the fibers are drawn to further orient the polymer molecules, and to adjust the tensile strength, elongation, modulus, dyeability, and other physical properties of the fiber. The fibers are further processed by draw-twisting, draw-texturizing, spin-drawing, crimping, coiling, and looping.
China, USA and West Europe have been major polyester importing countries in the last 3 years. On an average China imported close to 950 thousand tons of polyester in the last 3 years (2002-2004), which was about 10% of China annual consumption. Similarly, USA and West Europe imported around 500-600 thousand tons, which met 30% and 40% of their consumption respectively. Among exporters, Taiwan and Korea are large polyester exporters with close to 700-900 thousand tons of exports in last three years. To a smaller extent, Malaysia, Thailand and Indonesia exported about 200-300 thousand tons of polyester a year in the last three years. USA too has exported around 700 thousand tons of polyester per annum during 2002 – 2006.
How Body pH Can Affect Your Energy Levels

WHAT MOST PEOPLE DON’T REALIZE; WE ARE BIO ELECTRICAL ENGINES
In order to accomplish all the many millions of complex functions that occur over the course of the day, your body has to be able to communicate with itself… all the way down to the cellular level. And do you know how it does this? Through pulses of electricity. That’s right, electricity.
Your body operates on an electro magnetic current. Believe it or not, all of the organs in your body emit these fields of electrical current. In fact, nerve signals are nothing more than electrical charges.
What creates this electrical power in your body is a very fine balance that exists in your bio chemistry. And of all the systems in your body that depend on this delicate, bio chemical balance, one of the most important is your blood stream. This is where pH comes into play. But what is pH?
WHAT PH IS AND WHY IT IS IMPORTANT TO ALL YOUR BODY FUNCTIONS
PH is a scale that measures how acidic or alkaline a substance is. The scale ranges from 1 to 14 with 1 being very acid, 7 neutral and 14 very alkaline.
So what does pH have to do with you and your blood? Well, the pH of your blood is extremely important. The ideal pH level for your blood is right around 7.35 and your body goes to enormous lengths to maintain this level.
Why? Because if your blood pH were to vary 1 or 2 points in either direction, it would change the electrical chemistry in your body, there would be no electrical power and in short order you would drop dead. As you can see, maintaining the right pH level in your blood is pretty important!!
With this in mind a good way to avoid upsetting this delicate bio chemical balance would be to take a look at those things that can compromise the maintenance of the ideal pH level in your body. And what is the main culprit in this case? The answer is the creation of acid in your body.
Before we look at what causes acid, here’s a graphic example to give you an idea of what can happen in the blood when your pH drops to less than ideal. Red blood cells are how oxygen is transported to all the cells in your body.
As red blood cells move into the tiny, little, capillaries, the space they have to move through gets pretty small. In fact, the diameter of the capillaries gets so small that the red blood cells sometimes have to pass through these capillaries one red blood cell at a time!
Because of this, and because it’s important for the red blood cells to be able to flow easily and quickly through your body, they have a mechanism that allows them to remain separate from each other. This mechanism comes in the form of the outside of healthy red blood cells having a negative charge. This causes them to stay apart from each other, sort of like when you try to push the negative ends of two magnets together. They resist each other and stay apart.
Unfortunately, acid interferes with this very important mechanism in a pretty frightening way. Acid actually strips away the negative charge from red blood cells. The result is that your red blood cells then tend to clump together and not flow as easily. This makes it much more difficult for them to flow easily through the bloodstream.
But it also makes it harder for them to move freely through those small capillaries. This means less oxygen gets to your cells. Acid also weakens the red blood cells and they begin to die. And guess what they release into your system when they die? More acid.
I could describe a whole list of processes that occur when your system becomes and remains acid but I think you get the idea. The point is that aside from the acid that is secreted into your stomach to aid digestion, acid in your body is bad. Really bad.
In regard to producing energy in the body, here’s an easy question for you. What do you think happens to a person’s energy level if over time their system becomes more and more acid, their biochemical balance is disrupted and their red blood cells can’t deliver oxygen and nutrients as efficiently to all their cells? The answer is simple. Their energy level drops. Dramatically.
Are you beginning to get the picture here as to the importance of pH in your body? Good. Now let’s take a quick look at what causes acidity in your body and then look at steps you can take to get your body pH back to an ideal level.
WHAT CAUSES ACID IN THE BODY
The primary cause of an acidic condition in your body is from what you put in your mouth. In other words, what you eat and what you drink. And it isn’t how “acid” something may seem when you eat or drink it. It has to do with what is left over when you digest it.
Specifically, does eating or drinking something leave behind an acid or alkaline “ash”. For example, I don’t know about you but I love seafood. Scallops are one of my favorites. However, when your body digests scallops, it leaves an extremely acid ash. In fact, scallops are one of the most acid foods you can eat.
Unfortunately, a lot of the things most people put in their mouths create an acid ash. These include alcohol, coffee and a lot of flesh protein in your diet. Interestingly enough, stress also tends to create an acid condition in the body.
STEPS YOU CAN IMMEDIATELY TAKE TO IMPROVE YOUR PH
Fortunately, it is pretty easy to immediately change your pH for the better and make it more alkaline. The first step is to understand which of the foods you are eating and the drinks you are drinking are acid and which are alkaline. Then it’s simply a matter of eliminating some of the more acid foods you are eating and adding in more alkaline foods.
However, before you start, it’s important to get a baseline of what the pH is in your body so that you can see how you are improving or if you need to continue to eliminate more acid foods and add in more alkaline ones.
You can do this by testing the pH of your saliva on a regular basis. This is really simple to do. More details on how to do this are provided on some web pages I have created for you to help you out. A link to these pages is provided below.
In addition to decreasing the amount of acid foods you eat and increasing the amount of alkaline foods you eat, one of the best ways to immediately begin changing your pH is to drink “green drinks”. You can make these by simply adding a powder that is made up of a whole host of vegetables that are highly alkaline to a glass of water. Information on suggested green drink powders to use is included on pages that I have a link to below.
RESOURCES WHERE YOU CAN LEARN MORE
Clicking on the following link will take you to some pages I created that have more information on alkaline and acid foods, how to test your own pH and what to look for in green drinks.
http://www.ajpip.com/resources/site_map.htm
Start taking the steps described above and you may very well find your energy levels increasing over time. Mine certainly have.
- Andy Long
Pavers Installation

Brick Paver Installation:
Tools Preparation
Arrange to hire a brick masonry saw and flat plate vibrator prior to the day you begin your paver installation. You will need some basic working tools such as carpenters level, tape measure, rubber mallet, rake, shovel, timber stakes, string line, broom, safety eyewear, 1 x ten foot length and 2 x lengths of one inch diameter piping.
Site Preparation
The single most important phase of the entire pavement installation happens to be the preparation of the subsoil and paver bed. The overall strength of the pavement system is dependent upon the correct preparation and placement of the subsoil and base materials.
Mark out the area to be paved by placing wooden stakes around the area and then spray paint from an aerosol can to identify the area to be dug out.
Drainage
Set out the grade levels by securing string line between the stakes, making certain to slope the grade away from any building structure. This will ensure that drainage from rainfall will not seep towards any adjacent building structures. Set up the grade at two inches in height for every eight feet of pavement length.
Excavate Site
Now excavate the top soil and sub soil within the staked out area with the shovel and to a depth of at least ten inches in total. This will allow for a base material of five inches to be placed at the bottom of the excavated trench, next will be one and a half inches of setting sand to be placed on top of the base material and then allow three and a half inches for the thickness of the clay brick paver to be placed on top of the setting sand.
Compaction Of Base Materials
Compact the bottom of the trench with the plate vibrator machine to make a firm foundation for the base materials. Place ¾ inch quarried gravel as the base material and compact it with the plate vibrator machine once again to provide a solid base for the setting sand to sit above it.
Setting Sand
Lay the 2 pipe lengths eight feet apart from each other and parallel to each other. Place the sand to a height of one and a half inches in between the two lengths. Then using the 2×4 wooden length, be sure to level out the sand. Add more sand if you see any low spots. Make sure to level out any high sand spots too. When you have finished leveling the sand make sure that you DO NOT COMPACT THE SAND – because you will compact the bedding sand later on together with the clay brick pavers when using vibrator in the final stages of the installation. The final compaction of the pavers and bedding sand is necessary to allow for the proper interlocking method to take effect. It is the basis for the strength of the interlocking pavement system because the movement of the sand into the bottom and in between the clay paver joints makes them bond firmly together and bear the loads applied to the clay brick pavers in unison.
Installing Clay Brick Pavers
After you have finished placing the setting sand correctly, you may begin to install the pavers. Begin installing pavers from the center of the site and work toward the outside edges of the pavement. Reason for this is to allow the trimming pieces to be at the outside edge of the pavement. Place the pavers about one eighth of one inch apart from each other. Check the string line to make sure you are moving straightly once every five feet of forward progress. Make any adjustment by resetting the pavers using a screwdriver so they sit straight. After the pavers are installed straightly, you need to install the edging material to prevent the paver from moving out of place. The edging material needs to be secured in place before you place the bedding sand and pavers.
The Purpose and Place For a Spiral Staircase

I love a spiral staircase, especially the design and installation. Spirals come with some heavy restrictions beyond that of a “normal” staircase. First and foremost is the idea that a spiral stair serves as a secondary staircase in a home or business; or it serves as a loft access that does not exceed 400 to 500 square feet (depending on local codes).
Code compliant spirals are rather vague when you consider it is under or applies to the BOCA, UCB, CABO, IRC 2003, IRC 2006, or IFC 2006 codes. One must check with their local building department to get an update on what codes your spiral with fit.
Here is a short list of the most common code factors:
1. Minimum clear walking path of 26 inches. This means that the spiral will be a minimum 5-foot diameter
2. Each tread will have a minimum of 7-1/2 inch tread depth and 12 inches from the narrow edge.
3. The riser height (from the top one tread to the next) shall not be more than 9-1/2 inches in height.
4. The staircase must maintain a minimum headroom of 6 foot 6 inches.
5. The balusters (spindles) shall be installed so that a 4 inch sphere cannot pass through. A couple code agencies permit up to 4-3/8″.
6. The stairway must have at least one handrail on the wide edge of the tread.
7. Handrail height, measured vertically from the nose of the tread, shall not be less than 34 inches and not more than 38 inches.
Some define a spiral as a stair which winds around a central pole. That doesn’t always hold true. Five years ago a homeowner was given the okay through his building department to install a ladder or spiral accessing his 400 square foot library loft. They did not want the traditional spiral, but rather the look of a free standing staircase with glue-laminated stringers. This would require an inside and outside handrail, the inside being a 6 inch radius. We got the classification of a ladder and built a complete free standing spiral stair with enclosed risers, inside and outside skirts. In essence, a spiral can be creative a creative design only housed by your imagination.
Here’s a fun fact: Spiral stairs in medieval times were made of stone and were installed in a spiral down right. This put attacking swordsmen at a disadvantage who were generally right handed and served as defensive in design and structure


