At the moment I am busy with a graphic novel from which I shall post one fable I have done. There are some 272 pages and is there a time limit?I am only concerned for the day in which I aim to do two sheets. Of course it is not always kept up but to keep at it as far as possible. b

Posted in Aesop, Aesop Fables updated, cartoons, Uncategorized | Tagged Benny Thomas, comics, graphic novel | Leave a Comment »

last day in the month of January I was among friends of 61 years standing. It was a journey down the memory lane, Oh boy was I not glad to see playfellows with whom I lived as a boarder and learned to co-exist!

Posted in friendship, Uncategorized | Tagged Asram School, Benny Thomas, nostagia, personal, school reunion | 4 Comments »

Background for this pocket cartoon was Dr. Kissinger’s opinion that ‘the US troops for Vietnam was a mistake’. He was the architect for the nation’s foreign policy during the Nixon Years. In my view his hindsight was akin the tears of a crocodile. The terrible consequences of the Vietnam War still reverberate and these shall keep adding to the Great Unrest of the Millennium. benny

Posted in America, cartoons | Tagged 1974, Benny Thomas, Henry Kissinger, Vietnam war | 2 Comments »

Take the case of two patients. Both are stung by bees. One develops severe allergic reaction and the other develops no aftereffects other than the pain that accompanies of being stung. It does not happen by random but because one has an immune system to be impervious to the bees. Similarly we see in two plants of the same species. One is attacked by insects, one not. On an individual plant, some leaves get eaten, some not. This doesn’t happen at random, but is caused by the fungi that live within the leaves and roots of the plant.

Survival strategy of different species shows how the wellbeing of one is dependent on many factors severally spread about and not in the concerned species itself. Thus it makes sense whatever fine-tuning species do to maximize their own Natural selection.

Plants being stationary being rooted to the soil must rely on the soil itself and not in themselves to fight depredation. It is in these area fungi serve as their bodyguard.

Every plant has fungi and bacteria that live on its surface (called epiphytes) and within its tissues (called endophytes).

If the stem is still attached to its roots then the number of species would easily double. The roots contain lots of endophytes and a separate group of fungi, called mycorrhizas. These fungi grow into plant roots and form a symbiotic relationship in which the fungus donates nutrients (principally phosphate and nitrate) to the plant, in return for a supply of carbon.

So both endophytes and mycorrhizas can be thought of as plant bodyguards, where both partners benefit from the association. The fungi gain refuge and resources, while the plant gains a natural pest protection system. The challenge is to exploit this natural system in agriculture and horticulture. However, these sorts of fungi are rare in crop plants thanks to years of fungicides, fertilisers and plant breeding, and modern crops have far fewer natural fungal partners than their counterparts in the wild.

We need consider ‘ecological specificity’ in nature operates. Under which plants seem to select the fungi that will provide them with maximum benefit. If we’re to use this in agriculture, the challenge is to find the “right” combinations of fungi that will provide crops with protection against pests and diseases. For example, there is a separate group of fungi, called entomopathogens, that kill insects. These fungi can also live within plant tissues, meaning that if an insect eats an infected leaf, it ingests a killer fungus.

**The fungal internet**

The chemicals produced by all of these fungi travel throughout the plant. Some fungi in the root can change the host plant’s chemistry to keep marauding insects largely at bay, which may well be one reason why cultivating a rich soil full of useful microbes can lead to reduced pest problems above ground.

Other mycorrhiza (root) fungi can change the chemical makeup of a plant’s leaves, and we have found that these chemicals can attract parasitoid insects to give another level of defence – they can reduce insect growth by making leaves less edible, while simultaneously helping the plant to call parasitic insects that attack the herbivores.

Perhaps even more exciting is how fungi network and link many plants together. The mushrooms you see above ground are simply the fruiting bodies of a larger organism below the surface, composed of thread-like material called mycelium.

Each mycelial thread (a hypha) has a structure like a drain pipe. When plants are attacked by insects, they produce alarm chemicals that are transported to neighbouring plants through this pipe network. Unattacked plants respond to these alarm signals by producing chemicals to ward off an impending attack.

This may be why “no-dig” gardening is thought by many to produce healthier crops than commercial agriculture, where this “fungal network” is continuously disrupted by ploughing.

Plants and fungi do not exist in isolation, but instead form a cooperative in the war against insect pests. Even better is that the fungi are perfectly edible – if you had a salad recently, you’ll have plenty of endophytes within your stomach right now.

(Ack: How Plants Rely on Fungal Bodyguards- The Conversation of Jan. 28, 2016-Alan Gange/Professor of Microbiology, Royal Holloway)

Benny

Posted in nature | Tagged Benny Thomas, ecological specificity, endophytes, epiphytes, fungi, hyphae, mycorrhiza, symbiosis | Leave a Comment »

Let me first take up the Euler’s theorem or Euler’s Identity. It is an equation as neat as Einstein’s e=mc2 and in the words of Prof. David Percy of the Institute of Mathematics and its Applications, it was “a real classic and you can do no better than that … It is simple to look at and yet incredibly profound, it comprises the five most important mathematical constants.”

Euler’s Identity is written simply as: e^{iπ} + 1 = 0

The five constants are:

- The number 0.
- The number 1.
- The number π, an irrational number (with unending digits) that is the ratio of the circumference of a circle to its diameter. It is approximately 3.14159…
- The number e, also an irrational number as π . It is approximately 2.71828….

But the weirdest thing about Euler’s formula—given that it relies on imaginary numbers—is that it’s so immensely useful in the real world. By translating one type of motion into another this equation has application in real world. π and *e* are deeply related, but in a very weird way, as adventures of Alice after falling through the rabbit hole.

Such irrational events that Alice experienced are in a dimension perpendicular to the world of real things—a place measured in units of *i*. The square root of –1, which of course doesn’t exist. Mathematicians call it an imaginary number.

Because Alice shows effects from obeying instructions ‘Drink me or Eat me’ down there is in literal sense while in real world what one faces is no less embarrassing as losing face or feeling small. In short our existence is the axis around which both irrational and real world make their claims on us, even if it is only limited to a nightmare. This equation is all pervasive in human affairs where an element of irrationality is in-built.

We cannot multiply a number by itself to produce a negative number anymore than we can repeat a dream by our will, The letter i is therefore used as a sort of stand-in to mark places where this was done.

The Queen of Hearts in the Lewis Carroll’s story might order about but Alice holds the ultimate authority and when she asserts it shows what is wrong with the authority of the Queen. She is only a number in the deck of playing cards.

e^{iπ} + 1 = 0

In the Euler’s Identity Alice is the constant 1. As seen earlier her place in the equation makes the pother and the strange procedure of the trial of the Knave of Hearts as zero another constant!

The beauty of the Euler’s theorem is that it has a transcendental quality of human existence where a person or an event (represented by the number 1) can undo all the carefully orchestrated Power Games of nations to mean nothing. Even while Austro-Hungarian monarchy or Dual Monarchy was lording over the ethnic minorities of the Balkans little did it realize a single event like assassination of the Archduke of Austria (1914) would bring down the empire like a pack of cards!

Similarly all that the Great Britain had amassed as a maritime nation, with colonies stretched into far corners of the globe (The Sun will never set on their empire’) shall with two Great Wars evaporate.(the constant 1 can represent both Great Wars as one set)

Benny

Posted in history, life | Tagged Alice, complex numbers, Dual Monarchy, elegant equations, Gavril Princip, imaginary numbers, individual, Leonhard Euler, mathematician, Power Games of nations, Serb national | Leave a Comment »

Pi can be used to describe the geometry of the world.” says Chris Budd of the University of Bath in the UK, “We have to calculate it to very high precision for modern technology such as GPS to work at all. He also has to add this,”I tell my students that if this formula doesn’t completely blow them away then they simply have no soul,”

The number π is a mathematical constant, the ratio of a **circle**‘s **circumference** to its **diameter**, commonly approximated as 3.14159. It has been represented by the Greek letter “π” since the mid-18th century. . It simply describes how the circumference of a circle varies with its diameter. The ratio of the two is a number called pi.

The mystery of Pi is the relationship an integral part on a two dimension can have with the whole. For example Area of a circle can be calculated in which we know PI is a constant :A=πr2. This constant does not lose its power a whit even while we need think of the circle in another dimension. For example a sphere: Area of a sphere A=4πr2

This being the case doesn’t this constant speak of its mysterious hold past the dimensions in which we consider the circle? Suppose we introduce Man into this circle does it not define his position in terms of the circle as a shape? The Vitruvian Man with which we associate da Vinci, has Man with outstretched arms inscribed in a circle. Human activities thus are within circumscribed circles where the constant PI holds true.

Pi is roughly 3.14, but not exactly: pi is an irrational number, meaning the digits go on forever without repeating and never repeating itself. This continuity is the flux that has a relevance to the whole. Let us look at history itself. Julius Caesar in his *Gallic Wars* writes about the people of Helvetii. These tribes finding they were constrained geographically and ever in a conflict with their Eastern neighbours had to do something. They decided to search for better territories to settle down. They burnt down their villages and fanned out. This diaspora put all the European tribes agog. Each tribe wanted a piece of the action. It is thus man is seized by a constant that has been built in,- and must explain the stuff history is made of. We consider history is made by man but there is a constant which never repeats itself since all the nations are all drawn into the pull and push of the general equation. Pax Romana thus will never repeat as was before neither will caliphate as was in the middle ages.

Background:

The first six digits of pi are 3.14159. It is called pi because π is the first letter of the Greek word “perimetros” or perimeter. But it was not the ancient Greeks who first discussed the value of pi. About 2000BC Mathematicians in the Babylonian Empire, had already figured out that pi was about 25/8, or 3.125. By about 1700 BC, in the Middle Kingdom, Egyptian mathematicians calculated pi to be about 3.16. Archimedes calculated that π was a little bigger than 3.1408 while the Chinese mathematician Liu Hui had calculated that pi was 3.141 (Ack: Wikipedia, quart.us/ BBC-earth/Melissa Hogenboom-20 January 2016)

benny

Posted in history, Uncategorized | Tagged Chris Budd, elegant equations, Gallic wars, geometry, Julius Caesar, Pi, transdimensional constant, univ.of Bath UK | 1 Comment »