Dharmandar @dharm1729

Recently I've thoroughly enjoyed listening to Carina Curto on my walks. Here she talks about her work in neuroscience using topology, dynamics,....Carina is a master explainer, no need for chalk boards, all comes across clearly in the mind's eye. theoreticalneuroscience.no/thn7/

Gottfried Leibniz’s handwritten 1675 mathematical manuscript. The integral symbol looks like a slanted letter S, and it was introduced by Leibniz in 1675. He chose the symbol because he thought of the integral as an infinite sum of infinitesimal summands. The symbol was based on the ſ (long s) character, which was used in old manuscripts and books. The long s is still used in some languages, such as German and Icelandic. 📷courtesy of Leibniz Research Centre

You don’t need a PhD. You don’t need a thousand patents. You don’t need to be a VP making $1M/yr. You don’t need VC money. You don’t need to win awards. You don’t need an Ivy League degree. You can simply just do a good job and help others. And it can make a huge difference.

Mathematician Paul Erdős used to work for nearly 19 hours a day doing math and often claimed that he requires only three hours of sleep. He published nearly 1500 papers on mathematics and co-authored with more than 250 mathematicians during his time. Erdös is credited for pioneering discrete mathematics which is considered to be one of the foundations of modern computer science as computer algorithms, and software programming use discrete mathematical concepts. [Full story: piggsboson.medium.com/he-spent-19-ho…] [Photograh © 1993 by George Csicsery]

Mathematician Srinivasa Ramanujan discovered nearly 4,000 theorems and equations, unique and groundbreaking. Some of his results were so advanced that they were not proven until decades after his death. He also anticipated some concepts that later became part of modern mathematics and physics, such as fractals, modular forms, string theory, and black hole cosmology.

Fourier transforms comes with lots of flavors. Sampling and periodization are dual operations which interleave these transforms. en.wikipedia.org/wiki/Fourier_t…

My PhD Thesis is finally online. I hope it will provide some new perspectives for anyone interested in geometry, topology, deep learning and graph neural networks. repository.cam.ac.uk/items/06b0b8e5…

Cristian Bodnar @crisbodnar

4 years ago

🚀Today, I successfully defended my PhD thesis on Topological Deep Learning @Cambridge_CL📖. I was honoured to discuss my work with my examiners, @wellingmax and @jmhernandez233. Very grateful to everyone who has been part of this journey and in particular to @pl219_Cambridge!

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Welcome to Pakistan where our ancient Holi festival is banned in universities. HEC has issued an announcement after students celebrated Holi. Islamabad must understand that Holi/Diwali is part of the Sindhi culture —Islamabad neither accepts our Sindhi language nor does it honor the Hindu festivals. Let's see the champion of Human Rights politicians, especially Mr. Bilawal Bhutto who keeps pointing finger at others and lecturing on Islamophobia. Will he and others oppose it?

Paul Dirac, a leading physicist of the 20th century, proposed a controversial hypothesis in 1937 suggesting that the fundamental constants of nature might change over time. The so-called "Large Number Hypothesis" was based on the approximate equality of very large dimensionless ratios involving the age of the universe, the electric and gravitational forces, and the size of the universe. While not widely accepted, this radical idea presaged later developments in cosmology and particle physics.

Three logicians walk into a bar. The bartender asks: 'Does everyone want a drink?' The first logician says: 'I don't know.' The second logician says: 'I don't know.' The third logician says: 'Yes.'

one often sees it claimed that every square complex matrix has an eigenvector/eigenvalue. but this is false! The 0x0 matrix has neither.

Pakistan accepts Rohingya Muslims, Myanmar because Saudi Arabia has flatly rejected their citizenship. Sindh is gripped by fear of settling them in the province, if yes; it happens then Sindh will shoulder the burden of refugees as the province has more refugees, non-locals, and illegal immigrants. This time other provinces — especially, Punjab should not repeat its words as Punjab said during partition: “Pakistan Aa Gaye Hai [Pakistan is ahead]” — it should accept Rohingya. Sindh is going through a tough time after the flood, the province lives below the poverty line. Moreover, the province's demography has changed, and now another flux of refugees will be settled in the province, which will damage the province. The Sindh government and Sindhi political parties show some political consciousness and let Islamabad know that the burden of refugees should be shared equally.

This first grader is going places 🔺

Save the date: the next installment of the European Set Theory Colloquium will take place September 21. The speakers are Alekos Kechris, Saharon Shelah, Stevo Todorcevic and Hugh Woodin.

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With the original dancing girl from Mohenjodaro #sindh at National museum #delhi

The fractional Laplacian is a differential operator generalizing the Laplacian. They are the only rotation/translation/scale invariant linear operator. en.wikipedia.org/wiki/Fractiona…

1/2 Imran Khan, you are dictators’ puppet and you are definitely clueless about Zia and Musharraf periods cos you supported them. You might be having a great time when Zia was killing our people — journalism was hardly breathing — and a young lady, along with her mother, Shaheed Mohtrama Benazir Bhutto was imprisoned; moreover, during MRD people in Sindh were gunned down.

Imran Khan @ImranKhanPTI

3 years ago

The mindset behind this unprecedented crackdown and current reign of terror that PTI and its supporters are being subjected to (that was not even witnessed during Zia and Musharraf martial laws) is that we Pakistanis are like a herd of sheep who can be terrorised enough to meekly

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This is criminally incorrect. Journalists were publicly flogged under Zia’s brutal martial law, women were subject to the barbaric hudood ordinances (defended by IK) and political workers arrested in the thousands and murdered by the state.

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57 years ago

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میں نے اپنے مرضی سے اسلام قبول کیا ہے پر یہ نہیں پتا جس کے ساتھ نکاح ہوا ہے اس کے کاسٹ کیا ہے، بس یہ پتا ہے کہ اس کا نام سجاد ہے، سمن/ کائنات

Raped, filmed, blackmailed,forced to convert and married to a person whose cast she does not know.  The  state is silent over the systmatic  conversion of young Hindu girls by habitual crimnals without any fear in Sindh. Community feels helpless . #StopForcedconversions