A simple second order differential equation, ovals and chaos


In our youth as a consequence of our undying fascination with ovals we explored many means of generating them. In course of those explorations we experimentally arrived at a simple second order differential equation that generated oval patterns. It also taught us lessons on chaotic systems emerging from differential equations even before we actually explored the famous Lorenz and Rossler attractors for ourselves. The inspiration came from the very well-known harmonic oscillator which is one of the first differential equations you might study as a layperson: $latex tfrac{d^2x}{dt^2}=-ax$, where $latex a$ is a positive constant that has some direct meaning in physics as the ratio of the restoration constant to the mass of the oscillator. With this foundation, we wondered what might happen if we used a cubic term instead which was in turn coupled to a periodic forcing from a regular harmonic oscillator. Thus, we arrived at the below…

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You Are Always Complete


The present is light and free; what burdens and suffocates it are the stories that are hanging from it.

The present is not a part of a larger context; it’s not a moment in my life or a time slice of this universe. Quite the opposite!

It’s my life and this universe that are together a story attached to the present.
The present is at once everywhere and eveywhen, and it includes everything.

The present is whole and complete.

You can be free here and now if you choose to, by not escaping your story but by being above it, by being present, by recognizing that you are the present Itself.

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No Place but Here, no Time but Now


The question “Where am I?” is probably one of the seven wonders of the intellectual life of mankind. This question is almost always addressed from the outside, beginning from what precedes us and continuing with what follows us. This approach, which starts with presupposing man’s fundamental situated-ness and then tries to elucidate the nature of that situation, has failed to provide a satisfactory answer. There is a presupposition in this approach: it assumes that man is somewhere, inside an enclosure called the world, embedded into a situation that transcends him and extends indefinitely in both space and time.

But let us approach this question from a phenomenological point of view, by simply analyzing our experience of “place” without making assumptions about it: this approach is devoid of assumptions and is accessible to all, and above all arrives at the answer, not in the form of a dogmatic conception but in…

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Vrishchika had been seeing several kids of patients affected by the chemical leak that had happened sometime ago. While she saw some purely for routine clinical practice, she was also particularly interested in the several cases exhibiting heterotaxy and had amassed a collection of such. With Indrasena she had identified a collection of mutations in these patients and those from elsewhere. Eventually, with Lootika and Somakhya they had translated it into some interesting and ancient biochemistry concerning membrane protein stability that was widespread in eukaryotes. Now they were sitting down at Somakhya and Lootika’s house to work on a manuscript on this matter. As they did so, they asked their sons to get some lessons from Jhilleeka.

To get her nephews started Jhilleeka asked them: “So what did you two learn from Tigmanika’s grandfather little ones?”
Guhasena: “He taught us something very important which the very basis of the apprehension…

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Notes on miscellaneous brāhmaṇa passages from the Yajurveda


The upasthāna ritual is performed to let the sacrificial fire remain in residence after the primary oblations are complete. In the triple-fire śrauta rite this is done at the āhavanīya altar with several incantations specified in the saṃhitā-s of the Yajurveda, e.g. Taittirīya-Saṃhitā 1.5.5. Among those incantations the following is recited:

indhānās tvā śataṃ himā dyumantaḥ samidhīmahi ।
vayasvanto vasyaskṛtaṃ yaśasvanto yaśaskṛtaṃ ॥
suvīrāso adābhyam agne sapatna-dambhanaṃ varṣiṣṭhe adhi nāke ॥

Kindling you, may we kindle [you] in luster through a hundred snows [winters].
The strong one the maker of strength, the famous one the maker of fame.
With good heroes, the undeceived, O Agni, the deceiver of foes in the highest heaven.

The Taittirīya-Saṃhitā furnishes the following brāhmaṇa passage for the above mantra-s (In TS 1.5.7):

indhānās tvā śataṃ himā ity āha । śatāyuḥ puruṣaḥ śatendriya āyuṣyevendriye prati tiṣṭhati । eṣā vai sūrmī karṇakāvatī । etayā ha sma vai…

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Can You… You Say… I Say… (03/03/2012 @ 9:34 PM)

Works of an Unsettled Mind

Can you describe the perfect love for you?
Can you give it true meaning and respect?
Can you understand that desire is only lent to our imaginations?
Can you accept reality as it’s meant to be?
Can you…

You say you know what you want.
You say you have been there, done that.
You say you’ve grown as a person.
You say what I want to hear.
You say…

I say I know what I want.
I tell you my deepest secrets.
I say what my heart tells me to.
I say you listen with good intent.
I say I want you more.
I say…

Did you hear what I said?
Does it matter to you?
What will you do with this information?
How will it affect you?
Is it enough to get your consideration?

Can you…
You say…
I say…
Did you…
What will…
How will…
Is it…


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I see; therefore you are


The fact that the human intellect can recognize in the cosmos two distinct essences, the subject and the object, the being principle and the knowing principle, tells me that this intellect must itself transcend both of these principles.

We cannot see something unless we are in some sense apart from it.

The ground of human intellect is otherworldly, and this not so much in the sense of another world separated from this world, whether above or below or in any sense apart from it. But the otherworldliness of the intellect is similar to the otherworldliness of the waking state compared to its own dreaming state.

If intellect is beyond being and beyond knowing, then what is it!

Intellect sitting at the summit of both being and knowing and yet transcendent to both, is a place (a nowhere) where knowing is purified from all being. This is when knowing transcends the…

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