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Saturday 22 November 2014

Announcing the Calcutta Canvas initiative 

Well, this is my new initiative, to do something useful for my homecity. Please consider joining the cause, if you're from Kolkata, or simply like the city. 

Anirban Chatterjee originally shared:
Announcing the Calcutta Canvas initiative 

My friends, 
Once of the recent ideas that struck me, revolves around building a sort of central gathering point, a knowledgebase if you'd like, for the city of Kolkata. After years of searching online for more information on the city, I've seen that only a minimal amount of that is available. And this is what I'm intending to change. 

The result is Calcutta Canvas, a project/initiative/mission/cause dedicated to the singular purpose of gathering and catering quality information on the city. I have the following plans for the initiative: 

1. G+, Twitter & Facebook accounts, with automated posting support. Whenever an article is posted on the site, the followers on G+, FB and Twitter will be automatically notified (as you see with my StuffThatMatters posts). 

The blog address that I've registered is http://ift.tt/152XkIV and it'll be a group blog. I'll gladly accept anyone and everyone who can post anything on Kolkata. Whether you're from the city, or fancy it, or have taken a single trip to it, you're more than welcome to share your story, experience, info about anything Kolkata-specific etc. 

2. Noncommercial, no ads. For now at least, the project will be strictly noncommercial and voluntary. We won't generate any revenue from the service, because we too will benefit from the info available there. 

3. Dedicated forums and chatrooms. Once it gathers momentum, I'll build the necessary forum and chatrooms as required for the project, which will serve as a virtual gathering place for the readers and writers. 

4. Android app. Yes, I intend to make an Android app, for the task of bringing the latest articles from the site to the smartphone userbase. 

5. English, Bengali and Hindi, all 3 languages are welcome for posts. 

6. Dedicated categories for the articles include: 
A. My Story (about your experience in Kolkata)
B. News (anything relevant to Kolkata and Calcuttans)
C. Events (any event in and around Kolkata)
D. Reviews (got your opinion on a shop, restaurant, service etc? share it here) 
E. Tourism (about places in and around Kolkata, or anything in India, at least) 
F. Culture (stories, poetry etc as long as it's original)
G. Opinion (well, anything and everything about Kolkata)

Today, I've just started the project, at 7:00 PM. As such, it's still in infancy, as you see. Once the ball gets rolling, it'll benefit newcomers to the city, tourists, residents and everyone else. 

Disclaimer

I am just a resident of this city, and I intend to volunteer. Since this project is noncommercial, neither I nor anyone else will get money for working. Rather, it'll be like posting on social media, posting for posting's sake, but something that'll benefit a lot of people. 

If you're interested, please do immediately consider replying. Let us do something useful for the City of Joy!

http://ift.tt/1r9hDc8 

#westbengal   #calcutta   #kolkata   #india  

Calcutta Canvas - Google+
The beating heart of the City of Joy!


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Friday 21 November 2014

Turn the screen into your personal planetarium, with Stellarium 

Turn the screen into your personal planetarium, with Stellarium 
StuffThatMatters: Astronomy & Computing 

One of the greatest things about modern computer software, counting in the power and flexibility of open source and the imagination of human mind, is our growing ability to simulate natural systems using digital means. I discussed Step and Celestia as part of Linux's educational software suite, and this time, let's discuss Stellarium

Planetariums have always fascinated me, dedicated singularly to the task of catering audio-visual edutainment on a myriad variety of topics, centering around my favourite domain of study, the universe. I am lucky to be a resident of Kolkata, India which houses the second largest planetarium in the world, the M.D Birla Planetarium ( http://goo.gl/qlsN8M ) situated in the southern part of the megacity. But not every town has one, and this is where Stellarium enters the scene. 

What's this thing called 'Stellaium'? 

Basically, Stellarium describes itself as "free open source planetarium for your computer. It shows a realistic sky in 3D, just like what you see with the naked eye, binoculars or a telescope". And that pretty much sums it up for the masses. It's essentially a simulation of the night sky, which you can customize by changing the place or time, the direction of observation, the type of visual grid (if you want any) etc. And most certainly, being open source, it's free to download, install, study, modify and share. 

It packs in latest and detailed information on more than 6,00,000 stars by default, and over 200 million stars can be added by enabling additional catalogues, and several additional interstellar objects as of now, and the list continues to grow each day. But if that's not enough for you, then there's always room for expanding the software using custom add-ons that can be written using the Qt scripting engine. This feature makes it possible for us to make small programs that can be executed by Stellarium itself, for the purpose of showing presentations, educational documentaries etc. 

Together with Celestia that I covered in a previous post (here: http://goo.gl/pi0fXC ), Stellarium forms a sophisticated astronomy software bundle. 

Features 

1. Software freedom: Pardon me for repeating this part like a mantra, being the open-source advocate that I am, but Stellarium is free, as in speech! You can freely download and distribute it as you see fit, being the good neighbour in the neighbourhood. In addition, the codebase of the software is available to study, modify and redistribute, as long as you follow the GPL. 

2. Lightweight: Although it looks really fancy, Stellarium consumes very little system resources, and can run smoothly on comparatively older systems. This gives us plenty of opportunities and ideas, to recycle that old computer sitting in the garage. 

The officially listed minimum system requirements show that even 256 MB of RAM and 150 of hard disk space can run Stellarium. 

3. Detailed and informative interface: The easy-to-use UI of Stellarium is packed with features. In addition to stars, nebulaes, planets, moons and even spacecrafts are simulated. 

4. Full customizability: The Settings allow you to tinker the configurations to your choice, helping you set the degree of detail you want, the amount of information visible by default, whether or not constellations are displayed as art, figures etc. 

5. HQ graphics: Well, the screenshots below do the talking, I guess. :) Eclipses are simulated nicely, and even the stars can be seen to be twinkling. The atmosphere is very realistic, and sunrise, sunsets, clouds etc are rendered beautifully. 

6. Telestope control: Other than all the software capabilities mentioned above, Stellarium serves as a master program for controlling digital telescopes attached to the computer, using an additional plug-in. A growing list of telescopes are being supported at present, and the list grows, as usual. 

Details can be found here: http://goo.gl/8lqLYN 

7. Extendibility: The default features of Stellarium are sufficient, but that doesn't restrict the user from programming additional content for the software. Scripts can be written using ECMAScript language, which Stellarium natively supports. But please ensure that you download the latest version of the software, because older versions aren't compatible with ECMAScript, relying instead on Stellarium's own scripting language, StratoScript. 

Even if you don't code yourself, there's a wealth of online plugins, some of them adding additional control or features, others unlocking additional details and objects. Even DSOs (Deep Space Objects) have been added to the program. 

In addition to all these, Stellarium supports graphical visualizations of supernovae, which are some of my favourites. The official site http://ift.tt/HEbSin mentions the features of stellarium in further detail. 

Experience 

Stellarium has a broad userbase - including scholars, researches, enthusiasts, academics and so on. Most certainly, a certain amount of astronomical know-how is expected from the userbase, but it's not mandatory. 

Having used Stellarium since 2009, I have personally used this software for aiding my studies, preparing projects and reports, simply delighting my friends and neighbours, and just satisfying my own curiosity. 

There's a well-maintained user manual if you're interested, which can be found on the official site. 

Availability 

Stellarium is available free of cost, for most major platforms out there. Linux users can install it using their reposiroties, while dedicated binaries are maintained for Windows and Mac users. 

Download: http://ift.tt/HEbSin (just select your system type, and the download will start). 

Conclusion 

Stellarium, as a complement to my beloved KDE Education Software bundle, is a fabulous and fantastic software. It's a testament to the glory and power of open source, and as such, it deserves placement inside every astronomy class. But then again, even students of humanities will find this software useful, in my opinion, because it is our birthright to know about the universe we inhabit. 

After all, that's the motto of science and philosophy, my twin teachers. 

Sources and acknowledgement 

http://ift.tt/HEbSin 

http://ift.tt/1iSjTPi

http://ift.tt/Q4IRhf

http://ift.tt/1xb7xcK

Image credits: Wikimedia, Stellarium.org and my Linux box. ;) Collaged, as usual, with #GIMP

#stellarium   #linux   #universe   #space   #freesoftware   #physics   #astronomy  




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Tuesday 18 November 2014

Hellenistic philosophies, what are thy actually? 

Hellenistic philosophies, what are thy actually? 
StuffThatMatters: Philosophy 

In this era of the constant evolution of new-age movements, ranging from Iskon in the east to Scientology in the west, people are genuinely confused. Yes, like the sheer diversity of smartphone apps waiting to do your bidding, there are whole belief systems out there dying to grab your attention. Every path screams "_This is the true path! Join us!"_, and maybe they do provide solace to some people, if not all of their followers. 

As rational organisms, we are always striving to make sense of the complexity that surrounds us.Why are we here, What's our purpose in this universe, and most importantly, How do we live properly and fruitfully, etc are the questions we humans (and our ancestors) have always asked ourselves. Strictly because of this, there developed a series of brilliant philosophies in Greece, following the death of Alexander the Great. 

What were those philosophies? 

These philosophies are usually regarded as Hellenistic philosophies, and they essentially began after the death of Alexander's tutor Aristotle, to be more precise. Before, philosophers like Plato, Aristotle and the pre-Socratics believed that philosophy should be used for making sense of the world around us - a tool for exploration of complex questions regarding the origin of the world, the nature of reality, and so on. But this all changed with Socrates, who shifted the focus of philosophy from metaphysics to ethics. 

According to Socrates, philosophy should instead deal with more practical, down-to-earth questions - such as how should we live fruitfully, how can we maximize our potential as human beings, how to have a good life, and so on. This is what served as the motivation for the post-Socratic philosophers of the Hellenistic age, nearly all of whom traced their beginnings to Socrates. 

Common Hellenistic philosophies 

Of the Hellenistic philosophies, four were the chief contestants for king of the hill title, each of which aimed to provide ataraxia (freedom from disturbances), alongside a good, meaningful and happy life. These were: 

I. Stoicism

Stoicism is derived from the word Stoa, which refers to the painted porch or colonnade, where the fathers of this philosophy used to gather. It was founded by Zeno of Citium, a merchant turned philosopher, who wanted to devise a practical philosophy of life that would answer the crucial questions. By far, Stoicism became the most important and successful of the Hellenistic philosophical schools, and became the de facto philosophy of the Roman intellectual majority, in the following years. 

The Stoic ideal is the Sage, a physicial embodiment of the Stoic philosophy, who is untouched by anger or grief, familiar with and yet isolated from anguish and anxiety, whose actions resound with the will of the cosmos. Notable Stoics included the early fathers of Stoicism, such as Zeno, Cleanthes and Chrysippus, while later Stoics are usually more familiar because their writings survive till date. Seneca, Rufus, Epictetus and emperor Aurelius of Rome form the paragon of Roman Stoicism. 

Salient teachings of Stoicism at a glance

1. Events and happenings don't affect us in any positive or negative way, rather we are affected by our judgements on them

2. Only our choices, thoughts and judgements are up to us. We can choose not to be bothered even in the face of adversities. 

3. The 'Self', in Stoicism, is our true nature. It is separate from the body, the senses and the thoughts. It is detached from all suffering, and is the impassive observer of everything. 

4. The only good in the world is virtue, the state of living in perfect accordance with nature. The nature here refers both to the cosmic intelligence (called Logos) as well as our individual natures. 

5. One is to nurture his/her mind constantly, and practice prosokeh or unfailing attention, to ensure that he/she doesn't stray away from the path of his/her philosophy. Stoicism is a living philosophy, and practical side of its teachings are as important as, if not more than, its theoretical side. 

II. Epicureanism

Epicureanism is a rival philosophy that grew out of the teachings of , a notable thinker of the Hellenistic age. Although people confuse the Epicureans with pleasure-seeking hedonists, the hedonism is the Epicureans is far from the usual frenzy of pleasure-mongering that we witness today. Instead, Epicurus teaches us to liv a very simple lifestyle, where we live contended with very little. 

Epicurus taught his disciples, and lived in harmony with them, in his house just outside Athens. The house had a garden attached, and thus the Epicurean school came to be known as The Garden

Points of Epicureanism 

1. Pleasure is the ultimate good, but there are two kinds of pleasure - kinetic pleasure (involving some sort of activity on our part) and static pleasure, which is just the absence of pain. Static pleasure is better than kinetic pleasure. 

2. Pain and pleasure are the two Masters, and the natural tendency of man and beasts alike, is to go towards pleasure and away from pain. 

3. All matter, including our bodies and souls, are made up of atoms. Therefore, there's no existence before birth, or following death. The atoms that make up our bodies, simply go and form something else after our deaths. Therefore, there's nothing to fear about death. 

4. Friendship, and living in a commune, is the ultimate way to enjoy pleasures. A simple diet of bread and water can suffice for Epicurean students, but according to them, he is poor who dines alone. 

5. Pain and pleasure are two sides of the same coin. What is the source of pleasure today, can cause us pain tomorrow. For example, something you love gives you pleasure, but its loss causes you pain. 

III. Scepticism

Scepticism or Skepticism   was developed by Pyrrho, who also served as its ultimate living embodiment. Sceptics were the ultimate doubters, who doubted their judgements, those of others, and even their own senses. However, weird as it may sound today, it was the way to peace for its followers. 

Scepticism teaches us that we can't be certain about anything, no matter how certain or reasonable it may seem. - as long as there's room for doubt. Therefore, all external disturbances are reasonable and apparent appearances at best. By shifting our attention from such potentially false projections of our senses (i.e false impressions), the Pyrrhonic skeptics argued that ataraxia can be attained. 

Scepticism at a glance 

1. There is no way we can be sure regarding the truth of the things that appear before us. It is up to us to make the judgement, but since senses are flawed, we can't reasonably conclude that they are real

2. Suspension of judgement, originally a Stoic development, has been incorporated into Scepticism. When we are unsure about the reality of anything, we should suspend our judgements on them. 

3. Complete knowledge of anything relies on flawless perception of the external circumstances, which is impossible because of our limited and flawed senses. Therefore, complete knowledge is unattainable. 

4. Even the thoughts are coloured by our perceptions, which can not be therefore relied upon. 

5. By shifting our attention from potential sources of worry to a thoughtless, relaxed state of the mind, is the key to freedom from disturbances. 

IV. Cynicism 

Cynicism, in my humble opinion, is the most radical and extreme of these philosophies. It advocates a state of constant practice of one's philosophy, but in addition, the philosophy of Cynicism advocates complete mental detachment from the societal norms, standards, customs etc

The name Cynicism is derived from the Greek work Kynikos, which literally refers to dogs. And in fact, the Cynics, like Crates and Diogenes, lived an existence that would be closer to that of the dogs than men. Diogenes famously resided inside a tub, masturbated in the open, ate scraps of food from the streets and even behaved like a dog when he was treated thus. Yet, Diogenes and Crates are regarded as the among the greatest of the Hellenistic philosophers. 

Cyncism at a glance 

1. Man is happier in his original state of nature, as opposed to in the artificial society created by man himself. 

2. The way to happiness is to isolate the mind from the dictations of the society. To live happily, one must actively learn to detach himself from the demands, norms and standards of the society. 

3. Man's true existence relies on very few things - sufficient food, a shelter and some garments. Everything else, be it jewels, fame or acceptance in the eyes of others, is additional, tne not worth the trouble. 

4. The wise man is he, who has mentally isolated himself from the society. However, this shouldn't refer to physical isolation, because the Cynic can fully well live inside the human society. 

5. The less you possess, the less you have to worry about. Thus, wealth and fame are the roots of much of our anxiety, worry and suffering. 

Other Hellenistic schools 

There were other Hellenistic schools of thought, such as Peripateticism (followers of Aristotle), Cyrenaicism (ultra-hedonists) etc but for most part, these schools were the ones that took the limelight. 

Besides, the modern day sees a lot of activity with regard to Stoicism, Epicureanism and Scepticism, especially. I strive to be a Stoic myself, to be honest with you, and there are a wealth of resources available online, regarding how to live happily and meaningfully with the use of these ancient bits of wisdom. 

In my humble opinion, man has realized that the standard, mainstream religions are not really the source of contentment or joy that they claim to be. That's why, we are once again switching back to the ancient philosophical wisdom. 

After all, philosophy is indeed the love of wisdom. :) 

Sources and acknowledgement 

1. A little history of philosophy (Warburton) 
2. Stoicism (John Sellar) 
3. Stoic Handbook (Newstoa) 
4. Philosophy for life and other dangerous situations (Evans)
5. A guide to a good life (William Irvine) 

Image credits: Wikimedia, collaged by me using #GIMP

#Stoicism   #Epicurus   #philosophyofhappiness   #philosophy   #peace  




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Monday 27 October 2014

Hello World! 

Yet another page by me, mainly driven by my urge to share perhaps the greatest personal philosophy ever, #Stoicism . I created this page because I didn't want to make StuffThatMatters page crowded with short, self-help posts etc. 

But I couldn't resist the urge to share the Stoic teachings with the world, obviously. Well, all this is due to one simple reason - writing about Stoicism (or any topic, for that matter) will help me understand the concept better, while simultaneously enabling others like me to study it occasionally. Thus, it's a win-win scenario. :)

I don't know whether this announcement counts as stuff that matters according to you, so sorry in advance. :) 

Thanks everyone. 

#Philosophy

The Spiritual Stoic originally shared:
Hello World! 

This is a non-commercial, voluntary page driven by one sole cause - to spread the spiritual and philosophical teachings, especially those ones developed by the Stoic teachers like Epictetus, Aurelius and Seneca that we can apply to our daily lives. 

I am but one person, +Anirban Chatterjee who maintains this page as of now, and totally for the cause I mentioned. My only other incentive is to learn #Stoicism  better, by the art of what I call Stoic posting

Obviously, as the tagline of the page notes, Epictetus tells us to embody our philosophies, i.e live according to them, instead of discussing them, but I believe that when you write about something, and help others grasp it using simple language, your own understanding of the concept deepens. 

As such, my Stoic brothers and sisters, this post starts the journey of my Stoic posts on Google+!

Warm regards from India
Anirban Chatterjee 

P.S: I maintain another page, StuffThatMatters, about pretty much anything scientific that interests me. If you like, you can check it out here: http://goo.gl/iJ0AUr 

Also, my personal page remains +Anirban Chatterjee, although it will be used to host nothing other than my occasional smatterings. :)

Image credits: Pixabay.com 

#Philosophy   #spirituality   #selfimprovement  




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Friday 17 October 2014

'A Hymn to Science' by Dr. Mark Akenside 

'A Hymn to Science' by Dr. Mark Akenside 

This is a beautiful classical piece authored by the capable hands of English physician and poet Dr. Mark Akenside, who had famously turned to the path of science (medicine, to be precise) from theology. This also started a brilliant career, that saw the fusion between two great arts, science and poetry. And in this hymn, Akenside personifies science, as the great source of inspiration, intellect and passion, and yet, paradoxically, the child of them all. 

While we shouldn't, I agree, delve into blind fanboyism (without going to the depths), there's also significant need to recognize the majesty and glory of science, and not just Bah, Humbug! it off. An Aristotelian golden mean, or a Buddhist middle path between the two extremes should be the best approach, in my humble opinion. 

Hymn to Science
Dr. Mark Akenside 

Science! thou fair effusive ray
From the great source of mental Day,
Free, generous, and refin'd!
Descend with all thy treasures fraught,
Illumine each bewilder'd thought,
And bless my lab'ring mind.

But first with thy resistless light,
Disperse those phantoms from my sight,
Those mimic shades of thee;
The scholiast's learning, sophist's cant,
The visionary bigot's rant,
The monk's philosophy.

O! let thy powerful charms impart
The patient head, the candid heart,
Devoted to thy sway;
Which no weak passions e'er mislead,
Which still with dauntless steps proceed
Where Reason points the way.

Give me to learn each secret cause;
Let number's, figure's, motion's laws
Reveal'd before me stand;
These to great Nature's scenes apply,
And round the globe, and thro' the sky,
Disclose her working hand.

Next, to thy nobler search resign'd,
The busy, restless, human mind
Thro' ev'ry maze pursue;
Detect Perception where it lies,
Catch the ideas as they rise,
And all their changes view.

Say from what simple springs began
The vast, ambitious thoughts of man,
Which range beyond controul;
Which seek Eternity to trace,
Dive thro' th' infinity of space,
And strain to grasp THE WHOLE.

Her secret stores let Memory tell,
Bid Fancy quit her fairy cell,
In all her colours drest;
While prompt her sallies to controul,
Reason, the judge, recalls the soul
To Truth's severest test.

Then launch thro' Being's wide extent;
Let the fair scale, with just ascent,
And cautious steps, be trod;
And from the dead, corporeal mass,
Thro' each progressive order pass
To Instinct, Reason, GOD.

There, Science! veil thy daring eye;
Nor dive too deep, nor soar too high,
In that divine abyss;
To Faith content thy beams to lend,
Her hopes t' assure, her steps befriend,
And light her way to bliss.

Then downwards take thy flight agen,
Mix with the policies of men,
And social nature's ties:
The plan, the genius of each state,
Its interest and its pow'rs relate,
It fortunes and its rise.

Thro' private life pursue thy course,
Trace every action to its source,
And means and motives weigh:
Put tempers, passions in the scale,
Mark what degrees in each prevail,
And fix the doubtful sway.

That last, best effort of thy skill,
To form the life, and rule the will,
Propitious pow'r! impart:
Teach me to cool my passion's fires,
Make me the judge of my desires,
The master of my heart.

Raise me above the vulgar's breath,
Pursuit of fortune, fear of death,
And all in life that's mean.
Still true to reason be my plan,
Still let my action speak the man,
Thro' every various scene.

Hail! queen of manners, light of truth;
Hail! charm of age, and guide of youth;
Sweet refuge of distress:
In business, thou! exact, polite;
Thou giv'st Retirement its delight,
Prosperity its grace.

Of wealth, pow'r, freedom, thou! the cause;
Foundress of order, cities, laws,
Of arts inventress, thou!
Without thee what were human kind?
How vast their wants, their thoughts how blind!
Their joys how mean! how few!

Sun of the soul! thy beams unveil!
Let others spread the daring sail,
On Fortune's faithless sea;
While undeluded, happier I
From the vain tumult timely fly,
And sit in peace with Thee.

Image Credits: Wikimedia 

#science   #poetry  




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Saturday 11 October 2014

Visualize classical physics with Step, the best free physics simulator 

Visualize classical physics with Step, the best free physics simulator 
StuffThatMatters: Open Source Software 

Step is one of the least known, but best developed software I have encountered, used and been fascinated by. A free software, free as in speech, Step is a testament to the glory of open-source, and tells us yet again, why Linux is best suited for education. 

Step is actually a simulator, that simulates the behaviour of real-world particles as per the laws of classical Newtonian mechanics. This helps us see the laws of mechanics in action, in real time. This might be a bit unfamiliar at first, especially if you haven't used a physics simulator previously, but basically it is quite similar to the particle simulators available on Android. Only, it's much, much better and feature-rich. 

What's this thing called Step? 

Step, as the KDE project page describes it, is an interactive physics simulator. However, that's a very brief description, and doesn't, in my opinion, do justice to the abilities of this fascinating piece of software. 

Step is a powerful 2-D engine that is capable of simulating the laws of physics, involving the intuitive and counter-intuitive interactions between simple particles, forces, mechanisms such as motors, springs, waves etc. It is hugely expandable, thanks to the inbuilt scripting ability, and a whole array of downloadable examples make it one of the best in its category of simulators. 

What can I do with Step? 

Step allows you to visualize the laws of physics. Mostly, we understand things like Coulomb's law of electrostatic attraction or the classical law of Newtonian gravitation etc with the use of: 

1. Math equations 

2. Static diagrams 

However, Step adds one more dimension to this process of grasping the concept, by allowing us to view the dynamism of these laws, mechanisms, actions of simple machines etc. Rather than limiting ourselves to a static approach, Step helps us get a more dynamic picture of the process, using precise mathematical computation and an adorable array of visual elements. 

An excellent use of Step, as I've discovered recently, is its ability to work with Kinetic theory. Using the particulate model of gases, Step allows us to see for ourselves, how macroscopic properties like pressure, temperature etc are related to the microscopic interactions between the constituents of these gases. It's a joy to witness the mechanism. 

The above screenshot of Step, grabbed from Wikimedia, shows the simulation of simplified gasoline system, generated using particulate model of gasoline as per the kinetic theory

Unique features of Step 

Other than being completely free to download, install, share, distribute, study the code of, and modify, Step packs in an array of beautiful features that make this software so adorable. The official list of features can be found here: http://ift.tt/1s5leKF

Some of notable features, that I find delightful, are as follows: 

1. Measurements: Step can be used to measure the data mined out of simulations. Various parameters, ranging from vector sum of forces to the average pressure of a compressed gas at a given condition etc can be calculated and displayed in real time using Step. 

2. Graphs: Step can automatically generate graphs of parameters against other parameters, thereby telling us more about the state of the mechanism we're simulating at any given point of time. 

3. Automatic unit conversion: Units are handled and converted automatically. To quote from the official documentation, "you can enter something like '(2 days + 3 hours) * 80 km/h' and it will be accepted as distance value"

4. Error calculation: Step helps us visualize how the final state of a system changes, even when we enter the initial parameters with error margins. 

5. Lightweight: Step, relying on the powerful UNIX philosophy, is extremely lightweight, and can run on virtually any old computer (by today's standard, at least). 

6. Downloadable examples: Other than creating and storing your own mechanisms, you can download a vast collection of freely available examples, to help you see how Step works. 

7. Flawless simulation: Simulation is not buggy at all, and can run smoothly whether you have a modern graphics card or not. 

How to install 

Officially, Step is a part of the larger KDE Education Project, a bundle of free, high-quality software for promoting the use of Linux (mainly K Desktop Environment) in education and research. As such, it's available readily for Linux-based OSes, through various repositories and package managers. 

It's also available as the source, if you're willing to study/modify/compile it from scratch, on its official website. 

For non-Linux systems, Step isn't readily available. However, Windows users can make use of KDE on Windows, which can then run Step. However, being a native Linux user, I confess that I haven't tried it practically. 

If you ask me, Step gives you an excellent reason to switch to a free software OS for education and research. You can always keep your existing Windows or Mac, and dual-boot a Linux OS like Ubuntu or OpenSuse, to harness the benefits the great open-source initiative and Free Software Movements have to offer. 

References and links 

http://ift.tt/1s5leKH (Official project page) 

http://ift.tt/1s5lf0V (Step Handbook)

#KDE   #science   #freesoftware   #physics   #linux  




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Monday 6 October 2014

de Mere's paradox: how mathematics impacts the world more directly than we think it does

de Mere's paradox: how mathematics impacts the world more directly than we think it does
StuffThatMatters: Science & Mathematics 

Mathematics is everywhere – from simple, day-to-day calculations involving profits and losses to the complicated equations that reveal to us the profound nature of the depths of reality, in the form of quantum mechanics. However, little do we use our mathematical reasoning to make sense of this seemingly senseless world. As did Chevalier de Mere, of France, a mathematician who liked to bet in French salons and bars, for the sake of understanding the probabilities behind betting. 

Mere was quite fascinated with particularly one problem – the bet that we'd see a 6 come up when a dice is rolled 4 times, put against the bet that 2 sixes will come up when a pair of die are rolled 24 times. Naturally, Mere concluded that the probabilities of both these events were equal, on the basis of mistaken empirical probability, and he did regret his mistake. 

And interestingly, this problem also started modern probability theory

Initial solution

We all know that a die has 6 faces, with numbers 1-6 embedded on each side. So, when we throw a die, there are 6 possible outcomes. The probability of a 6 coming up would be: 

P ( a 6 comes up ) = number of desirable outcomes / number of possible outcomes
= 1 / 6

And similarly, when we roll 2 dice simultaneously, there are 6 x 6 possible outcomes = 36 outcomes. 

So, P ( a double-six comes up ) = 1 / 36

Now, Mere concluded that since 4 / 6 = 24 / 36

the probabilities of both the events are equal. However, he observed the following: 

1. When he took the first bet, i.e betting that a 6 would come up on rolling a single die for 4 times, he won most of the time, and gained money.

2. Growing confident, Mere betted that a double-six would turn up, when a pair of dice were rolled for 24 times, and he lost lots and lots of money! The more he played, the angrier he got seeing that he was losing most of the time. And this continued for a long time.

Pascal and the correct interpretation

Frustrated, de Mere contacted Pascal, who then correctly framed the problem. Let us look at it more clearly, using the same classical model of empirical probability. 

For the first scenario, we roll a single die for 4 times. Naturally, the number of possible, equiprobable (i.e equally possible) outcomes is 6 each time. Now, since the experiment is done 4 times, i.e the die is rolled 4 times, the number of equaprobable outcomes is 6 x 6 x 6 x 6 = ( 6 ) ^ 4

Now, each time, if we don't get a 6, we lose. So, the probability of getting a 6 each time is 1 / 6, but the probability of NOT GETTING a 6 is 1 – 1 / 6 = 5 / 6

When the die is rolled 4 times, the probability of not getting a 6 in the process becomes: 

( 5 / 6 ) x ( 5 / 6 ) x ( 5 / 6 ) x ( 5 / 6 ) 
= ( 5 / 6 ) ^ 4

So, the probability of winning the bet, i.e a 6 turning up in the experiment, is: 

P ( Getting a 6 ) = 1 – P ( Not getting a 6 )
= 1 - ( 5 / 6 ) ^ 4 
= 1 – 5^4 / 6^4
= 1 – 625 / 1296
= 671 / 1296 
= 0.5177 ( approximately) > 0.5 

So, P ( Getting a 6 ) > 1/2, i.e when the experiment is repeated for a large number of times, it is more probable that the bet will be won, since there's MORE THAN 50% chance that it will be won. 

The second scenario: why de Mere lost the bet 

Now, for the second scenario, for each time the pair of dice is rolled, we have 6 possible outcomes for the first die in the pair, and 6 for the second die. So, there are 6 x 6 = 36 possible combinations = 36 equiprobable outcomes. 

Now, the probability of getting a pair of sixes is 1 / 36 , and so the probability of not getting that would be: 

P ( Not getting a pair of sixes ) = 1 – 1 / 36
= 35 / 36 

And so, when the pair of dice is rolled for 24 times, we are conducting the experiment 24 times. So, the probability of not getting the desired result in 24 rolls would be: 

P ( Not getting a pair of sixes in 24 rolls ) = ( 35 / 36 ) x ( 35 / 36 ) x ... (24 times)
= ( 35 / 36 ) ^ 24
=  11419131242070580387175083160400390625 / 22452257707354557240087211123792674816
= 0.5086 (appx)

So, P ( Getting a pair of sixes in 24 rolls ) = 1 – 0.5086 
= 0.4914

Naturally, P ( Getting a pair of sixes in 24 rolls ) < 1/2

And so, there's less than 50% chance of winning the second bet, i.e most of the time the bet will be lost when the pair is rolled for a large number of times. 

A mathematical philosophy? 

Blaise Pascal, one of my many heroes, was also a philosopher. And his philosophy involved the use of mathematics, to make bets. Because Pascal, as we know, used to see the reality itself as a betting table. He used mathematics to justify the belief in the Christian God, famously. While that justification is rightly challenged and disputed, his use of mathematics, for solving the crises we face while taking decisions in daily life, is noteworthy. 

Pascal's philosophy involed what is known as the rational utilization of expected values, or E.Vs, to make decisions. Whenever we have to make a choice, we're virtually gambling, because our course of action is much like a bet against the unknown. And how should we place this bet? Much like de Mere's first bet, with a positive E.V (or +EV). 

That is, we should take decisions which have a greater than 50% probability of being successful. And if a decision has a -EV, i.e less than 50% chance of getting successful, then we should possibly abandon it. 

It's all a very general, very brief and very rough explanation of Pascal's philosophy, mind you, but the important thing is to realize that he managed to combine philosophy and mathematics, thus providing a more concrete reasoning behind ethical problems. 

Conclusion 

This problem, named after de Mere, is indeed a veridical paradox, as ProofWiki notes. I already used the term in my previous posts, and these are just cases in which the premise is simple to understand, but the outcome is counter-intuitive, i.e against what we'd commonly believe. 

This shows us yet another scenario of a self-evident fact, that the universe is mathematical. More philosophically speaking, the reality itself seems to prefer mathematics. Maybe the Anthropic principles will tell us why, some day. Till then, take care. 

References

http://ift.tt/1xWu9mg 

Magnificent Mistakes in Mathematics (Alfred Posamentier) 

http://ift.tt/1xWubdZ

#math   #interesting   #science   #probability  




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