[Goanet] Serendipitous Opportunities
Subject: [Goanet] Serendipitous Opportunities (Navhind Times, 18/12/2022) GL responds: Should these Art exhibits be organized in Goa next year before and during the G-20 summit? Regards,GLCo-author: Insight into Colonial Goa --- V M Considering the minuscule scale of Panjim, and the giant ambitions of the Serendipity Arts Festival that has already played out citywide four times previously (during which time I myself curated three exhibitions in six venues) it?s absolutely astonishing how this now-well-established event continues opening up new heritage spaces for culture.
[Goanet] Taking advantage of G-20 summit meeting in Goa
Should native and diaspora Goans do something practical to maximize the benefits at the local levelof the planned G-20 summit meeting to be held in Goa in 2023? We cannot rely on the governments (central and state) to think and do everything to benefit the person on the street. Any ideas? Gilbert Lawrence Co-author: Insights into Colonial Goa
[Goanet] O Come All Ye Faithful (to MoCA) - O Heraldo, 17/12/2022
https://www.heraldgoa.in/Cafe/O-Come-All-Ye-Faithful-to-MoCA/198268 In this holiday season filled with good cheer, and gorgeous artistic outpourings extending all across the Mandovi riverfront to every corner of India’s smallest state, it is wonderful to see the newly reconfigured Museum of Christian Art stand out, and hold its own with the best in the country – indeed the world – as a beacon of Goa’s unique cultural heritage. This increasingly invaluable institution’s jewel-like setting on the Holy Hill of Old Goa, in one old wing of the spectacular 17th century Convent of Santa Monica (which is still the largest in Asia) has never looked better, and it is genuinely moving to walk through MoCA’s superb medieval and early modern collection directly into *Engraved Treasures*, where an eclectic, knowingly selected coterie of contemporary artists of Goa has responded to Lina Vincent’s curatorial challenge with excellent, thoughtful and provocative artworks. Vincent must be credited for an exceptionally well-conceived concept, which she parses carefully in her essay to accompany the exhibition: “The artists were invited to respond to a single object, an 18th Century Bible [from the MoCA collection] with engraved works within it. We built a focus around imagery reflecting the birth of Christ and his young life, to commemorate the time of Christmas. In the process, each of the artists interacted with the material at multiple levels – through a physical plane, with the book and its relevance as a text; through the history of European art and printmaking; from the point of view of the legacy of the printed page and publishing; and through the collective contemporary experience of being in Goa, a former Portuguese colony that reveals a complex mingling of cultures.” The full title is *Engraved Treasures: Past and Present in Continuum*, and Vincent explains that “Histories bind us together like the threads in a multihued tapestry, stretched across time and space. Metaphorically viewed as a whole, some parts could be faded, disappearing; others could be fragile, with torn portions held together by mere strands – yet other parts can be vivid and shiny, as strong today as when they were made. A museum has the ability to show us this tapestry that we are part of, a collective whole of which the parts remain connected despite differences, or similarities for that matter. Culture, whatever form it may take, resonates with civilisational shifts and changes that in turn respond largely to human acts of socio-political interaction. In creating a lens that draws together aspects of the past and present within the same dialogue, the exhibition addresses these points of intersection between various layers of tangible and intangible experience, and heritage.” There are many stand-out artworks in this winning MoCA show. I happened to walk through earlier this week with the great British photographer Derry Moore, and both of us were thoroughly wowed by the subtle, stunning images of Old Goa interiors by Lester Silveira. Vincent puts it well: “The notion of time and space, and their physical and transcendental dimensions become part of Lester Silveira’s photographic series. In his observation of biblical illustrations, the use of light depicted as linear rays bursting through the clouds or entering through architectural apertures formed a critical component to convey the presence of God, or the Holy Spirit. Similarly, in church architecture, a divine atmosphere was created by channelling light through various spatial and structural configurations like domes, vaults and clerestories. Silveira’s images explore these moments of ethereal light that can be experienced by anyone entering these spaces.” There’s an unexpected connection between *Engraved Treasures* and *Indian Christmas: Essays, Memories, Hymns* (Speaking Tiger), the attractive new anthology edited by Jerry Pinto and Madhulika Liddle. That is *Nativity* by Nishant Saldanha, the Verem-based artist who is on MoCA’s creative team (note: Damodar Mauzo and I also represent Goa in the volume). Here, it’s worth dwelling what Pinto says in his introduction: “I think the birth of Mary’s child moves the world to joy and generosity because we all – even those not of the faith – carry the image of the apostle of peace nailed to the cross. His suffering was great; the price he chose to pay so we would learn to love. He would raise no armies, wield no weapons, fight no wars, but we would turn no one away. It is this knowledge – that love and peace will not be extinguished by rejection, betrayal and cruelty; that the child will become a man who will teach us this lesson for eternity – which makes us celebrate the miracle of his birth as our own private miracle, renewing our faith in life. In humanity. In ourselves.” This is so finely and usefully framed. Joy to the world, by all means, but only in acknowledgement of the passion, the struggle, the losses and the good fight that is
[Goanet] Mazel Tov Nadav Lapid (O Heraldo, 18/12/2022)
https://www.heraldgoa.in/Edit/By-invitation/Mazel-tov-Nadav-Lapid/198320 We’re almost at the end of an extremely tumultuous end-pandemic twelve months filled with astonishing events, but there is no doubt who is Man of The Year when it comes to speaking truth to power, and standing up for what is right. That is Nadav Lapid, chairman of the jury at the 53rd International Film Festival of India, who showed his mettle right here in Goa last month by simply stating what everyone already knows, but is afraid to say in public. What is more, the 47-year-old Israeli auteur never backed off, and kept on quietly repeating the facts in an act of public courage that both shames and inspires the rest of us. Mazel Tov to him, and toda raba as well. It was bears repeating what exactly set off the astonishing media maelstrom with Lapid at its epicentre. After an unusually smooth and efficient edition of Asia’s oldest - and India’s largest - banquet of international cinema, in which the jury saw 15 movies for consideration for the prestigious Golden Peacock award (it was eventually won by the Costa Rican production *I Have Electric Dreams*), its chairman’s evaluative comments at the closing ceremony (which included the Minister of Information and Broadcasting, and Israel’s Ambassador to India) culminated with these lines: “We were all of us disturbed and shocked by the 15th film, *The Kashmir Files*, that felt to us like a propaganda, vulgar movie inappropriate for an artistic competitive section of such a prestigious film festival. I feel totally comfortable to share openly these feelings here with you on stage since the spirit of the festival can truly accept also a critical discussion, which is essential for art and for life.” As we know, all hell then broke loose. Social media was bad enough – though it was sad to see some Goans who should know better act intemperately - but television was even worse. For just one example, it will be impossible to forget Rahul Kanwal’s shrill hectoring of Lapid. Another lowlight occurred when the Israeli ambassador barraged his own countryman with nonsensical non sequiturs on Twitter: “In Indian culture they say that a guest is like God. You have abused in the worst way the Indian invitation to chair the panel of judges at @IFFIGoa as well as the trust, respect and warm hospitality they have bestowed on you” and “The friendship between the people and the states of India and Israel is very strong and will survive the damage you have inflicted.” These kinds of media-driven maelstroms are not rare, and have become even more common in our era of creeping totalitarianism. We have reached past the point George Orwell predicted in *Nineteen Eighty-Four*, where there are many perfectly true things that are effectively taboo “thoughtcrimes”, and if you are suspected to harbour this “crimethink” the mob will definitely be unleashed. That is precisely what happened at IFFI last month, but it didn’t end up as usual, because, instead of meekly apologizing and then disappearing - which is what everyone expected – Lapid turned back to India and carefully explained why he spoke out, and what is at stake. “I don’t regret what I said about *The Kashmir Files*,” the Israeli director told New Indian Express, in just one of many interviews: “I had the feeling it needed to be stated. At a certain level, the way things turned out, I think my intuition was right; these words needed to be spoken.” He explained that “the story is not about me. It’s not even about the film. The real question is something different. People can like or dislike or admire or hate a movie. All of this is valid, and I’m not against an emotional, engaged discussion. However, a big part of the reactions to what I said was sheer madness. At the end of the day, it’s your country, it’s your society, but I ask whether you are scared to speak your truths because it results in a storm of violence and menace. I saw and read things in the media and wondered if it is normal to react to a film critique in this manner.” Lapid pointed out what has been painfully obvious all along: “*The Kashmir Files* is a fake film. It is a propaganda film. It behaves as though it is trying to create a piece of art about life, existence, historical events, about a moment in time, about human beings – as most movies do. But in the end, it is just promoting – in my opinion – in an extremely vulgar and cheap way, an evident set of political positions, using a variety of, what I consider, extremely cheap cinematic manipulations. Cinematically, I cannot take this film seriously. From the outside, it seems like a kind of joke. But the fact that this film has been treated extremely seriously by its makers – and by many people who watched it – and the decision of the International Film Festival of India to include it in its most prestigious international competition section, you feel forced to take a stand on it.” There is huge credit due to Lapid, because took the
[Goanet] 25 Years Downstream with Orijit Sen (O Heraldo, 10/12/2022)
https://www.heraldgoa.in/Cafe/25-Years-Downstream-with-Orijit-Sen/197925 His artwork has attracted international attention pretty much throughout his adult life, but it is Corjuem-based Orijit Sen’s acute, sparkling writerly prowess that really wowed me in the brilliantly produced 25th anniversary edition of *River of Stories*, the first graphic novel from India when it was originally published in 1994, which was re-released at last month’s Goa Heritage Festival in Campal. In his introduction to the handsome new hardback from Blaft Publications, Sen puts it most pithily about the main narrative of his pioneering book – the ultimately unsuccessful people’s resistance led by the Narmada Bachao Andolan against vast dam projects in Gujarat, Madhya Pradesh and Maharashtra: “The question that [we] raised so forcefully back in the 1980s: “Development for whom, and whose cost?” remains un-addressed four decades later. The Indian state continues to accelerate policies that usurp the lands, waters, rights and resources of forest-dwelling people, farmers, artisans and others – as it sides more and more nakedly with the interests of large-scale extractive capitalist entities. The idealism and energy of those times seem like part of a collective dream that has dissipated. Or has it?” A valid question, with uncertain answers, but there’s one thing we can be certain about: this 59-year-old artist’s own flame burns as brightly as ever, and – as happens only with the best – continues to burnish most impressively as he grows older. No less than Arundhati Roy notes in her Foreword, “In the years since this book first came out, Orijit Sen has grown to become one of India’s most valuable graphic artists. He has a fine line and an angry, pugnacious political understanding.” There are several unusual aspects to *River of Stories *in its superb new avatar, and the most important is actually appended in the back. These are excerpts from Sen’s sketchbooks, accompanied by the artist’s meticulous explainer. This “road to the river” is an instantly invaluable contribution to our collective understanding of the making of Indian art, derived from the artist’s “most important learnings that I have received from a lifetime spent in reading and making comics and graphic novels.” Some of these lessons – from *Amar Chitra Katha* and *Tintin* – will be familiar to many Indians. Others are distinctively personal: “My father was a cartographer, and I grew up around mapping instruments – going on field trips with him and observing how he plotted landscapes with lines, markings and colour codes. And so geography became an early repository of stories for me. The two-dimensional surface of a map was a veil that only had to be lifted to reveal a brave new world of distant mountains, hushed forests and glimmering lakes.” Back in 1991, Sen “travelled to the Narmada river valley [with] no clear notion of what I was going to do there, but I knew that I wanted to experience the land, meet the people who belonged to it, sit on the banks of the ancient and storied river, and watch it flow…I attended Baghoria festival fairs, wedding feasts, religious ceremonies and political rallies, journeying on trains, buses, jeeps, bullock carts, bicycles and on foot. Everywhere, I sketched, made notes, took photographs and listened to people’s stories.” Out of this unformed mountain of experiences came *River of Stories*: “Gradually, the people, the river, the hills, forests, streams, roads, bridges, plantations, hamlets, houses, tools and objects became internalized as a part of the visual vocabulary with which I sought to fashion the story of the Narmada Valley and the struggle of its people. I laboured not just to capture slices of life, but to absorb entire chunks of lived experience in the Narmada Valley. I felt this was the only way one could tell the truth about a place and its people.” In effect, “my sketchbooks became a series of densely compacted suitcases containing a vast collection of experienced sounds, sights and interactions, in the form of scribbled pages that I would carry back to my studio in Delhi – and unpack in order to use for the telling of my story.” Make no mistake, it’s extremely rare – not just now, but in any era – to encounter an artist who can simultaneously deploy language and visuals with this degree of facility and precision. That might explain why Sen is regularly hounded by would-be censors, most notoriously in 2016 when two striking nudes were banned on Facebook. In fact - again like only the very best – this artist is by far his own most perceptive critic. See this disarming admission about what he thought about when considering republishing *River of Stories*: “If I were to create a book like this today, I would do it very differently. There are so many layers that I wasn’t sensitive to back then. I felt a little embarrassed even by the book’s flaws, its unformed-ness. I worried it was callow and perhaps over-eager in its
[Goanet] {Dilip's essays} What citation numbers can be tweaked to suggest
Dec 9
Baba Ramdev is one of India's many "godmen", but one who has risen to power
and prominence in the last 10-12 years. He is politically close to the
party and people in power in India now, and who knows, maybe that's helped
him rise.
One of his endeavours is Patanjali, that produces all manner of ayurvedic
drugs, but also toothpastes and shampoos and so forth. Not long ago, our
newspapers carried a large Patanjali ad which made a startling claim ...
well, take a look at the attached image.
So I went digging to try to confirm this claim. What I found left me
somewhat confused, and perhaps that will apply to you too. But what there's
no confusion about is that the "top 2%" is wrong. More like "bottom 5%".
Take a look: What the number of citations can be made to suggest by
tweaking them,
https://www.livemint.com/opinion/columns/what-the-number-of-citations-can-be-made-to-suggest-by-tweaking-them-11669922167402.html
Let me know if you know something about citation indices and this
particular use of them. Let me know any thoughts about Patanjali.
cheers,
dilip
What citation numbers can be tweaked to suggest
Heard of the Erdös number? It's named for the great Hungarian mathematician
Paul Erdös. As I wrote in this space some years ago: "He worked with other
mathematicians ... and that's where the idea for the Erdös number came
from. If you collaborated with him on a paper, your Erdös number is 1.
(About 500 such mathematicians). If you collaborated with someone who had
collaborated with him, it's 2. (Over 9000). And so on. Your number measures
what you might call your 'collaborative distance' from the man. (Erdös
himself? 0, of course.)"
The number is really like a tongue-in-cheek tribute to the man, not a
serious measure of achievement. And yet it touches on a serious question:
is there a way to measure how good, or effective, a scientist is? A low
Erdös number means you have worked with some serious mathematicians, so
that does indicate that you have some worth as a mathematician yourself.
But still, it really is just in the nature of a tribute to a man who
touched so many.
There is, though, a more serious measure that's often used: how many times
a paper you have authored has been cited in other papers by other
scientists. You can probably tell that this "citation index" carries some
weight. For if another scientist cites something you have researched and
written up, it means that scientist found your work relevant and useful in
his work. And if several scientists cite your paper, it means you produced
something of some relatively wide relevance. If your paper continues to be
cited long after it is published, maybe even after you're dead and gone,
that speaks of the lasting impact of your findings.
Of course, this idea of an index can be tweaked. For example, what's the
calibre of the citations of your paper? Should a reference in Mint, for
example, count the same as a reference in Nature, or Scientific American?
Does a Mint reference mean that a wider audience than just academia is
reading your paper? If so, surely that suggests a broader understanding and
appeal? Besides, how good are the references you yourself cite - meaning,
how many of the important results in your field are you aware of while you
do your research?
Considerations like these go into the calculation of various metrics -
called h-index, g-index and more. The h-index, for example, is calculated
thus: of all a scientist's published papers, if some number "h" of them
each have h or more citations, and the rest have h or less citations, then
her h-index is h. So let's say researcher Sharvari has published 30 papers.
7 of them have each been cited at least 7 times each; the other 23 are each
cited 7 or fewer times. Sharvari then has a h-index of 7.
To give you a quick idea, Erdös has a h-index of 76, Albert Einstein 92.
Einstein's E=mc2 paper has been cited nearly 500 times; his special
relativity paper over 2000 times.
Like all statistical measures, these are used and interpreted in different
ways. Certainly Einstein should figure at or near the top of any ranking of
scientists. But considering the sheer number of scientific journals that
there are, some no doubt of dubious merit, it should hardly be a surprise
to find unknown or unexpected names on such rankings. These might be solid
scientists who are just not widely known; they might also be not-so-solid
ones who find ways to inflate their citation indices.
And in fact, one recent paper addresses exactly the use and misuse of such
citation metrics, apparently seeking a way to rationalize them ("September
2022 data-update for 'Updated science-wide author databases of standardized
citation indicators', John PA Ionaddis, Elsevier, 10 October 2022,
https://elsevier.digitalcommonsdata.com/datasets/btchxktzyw/4). It looks at
citation data for about 200,000 scientists around the world and attempts to
rank them according to a composite - called the c-score - of various
cita
[Goanet] Casino-mukt Goa? (O Heraldo, 11/12/2022)
https://www.heraldgoa.in/Edit/By-invitation/Casinomukt-Goa/197979 All the snarled traffic and disrupted schedules notwithstanding, Panjim’s citizens have one big reason to thank Narendra Modi for today’s flying visit. It turns out the prime minister so dislikes the cheap vulgarity of the gambling “industry” that Goa’s administrators have hastily pulled down every scrap of tawdry casino advertising that usually blights the Mandovi riverfront. The difference is palpable and immediate. It feels like being released from mental torture, which begs the inevitable question: why is Goa being subjected to this punishment in the first place? And what does it say about the so-called “leadership” that is racing to hide the grotesque mess they themselves created, while transparently intending to restore it all when the PM turns his head? The long-overdue visual cleansing was alerted early on Facebook by the building conservationist, researcher and writer Poonam Verma Mascarenhas, who posted this message: “Glad to see that all posters of [brand name removed] casino - that were put on both sides of the Miramar-Caranzalem road have been taken down. Also noticed that traffic barriers have new adverts and not of any Casino- at the Science Centre junction. Hope this is not just a fake makeover!!!” Mascarenhas is one of India’s leading heritage architects, who has completed well-regarded projects all over the country, from Jaipur to the Shimla Town Hall. With regard to her home state, her commitment has been especially rich and fruitful, including co-founding the invaluable Goa Heritage Action Group over two decades ago (of which I am a more recent member). Back in 2017, she also edited and compiled the invaluable reference book The Mapped Heritage of Panaji, which comprises over 900 detailed entries for all the buildings of historical importance within our pocket-sized state capital’s 13 distinct neighbourhoods. “It has been feeling like we are under siege from the casinos the past few months,” said Mascarenhas to me via email, after I reached out to ask her to elaborate on her initial post. “I have just returned from Ahmedabad, where I happened to visit the Sabarmati Ashram. That was playing in my mind, and it was reinforced at the Ahmedabad airport, where a side wall features historic pictures and inspirational quotes from Gandhiji. Then, from the moment of arriving back home in Goa, both inside and outside the airport on giant billboards, I felt assaulted, and aggressively exhorted to gamble, And I thought to myself with a sinking heart and enraged mind - this is what we have done, pinned all the truly important core values of simplicity, honesty, responsibility and collective harmony to one side, while mindlessly marketing crude hedonism in the name of entertainment.” Mascarenhas told me ruefully that “not so long ago, talk was rife about rebuilding the “lost” temples in Goa, but now it feels much more like the ‘Yudhisthirs’ of the state are trying to enact the Mahabharata by gambling away all of our resources: the khazans, forests, beaches, rivers and seashore, along with every bit of the sanctity and security of the Goans. Everywhere, in every direction, all is being sold to the highest bidder, and gambling is the only the forerunner in this disgraceful auction of public space and community assets. The fact is the casino takeover has spawned a shocking reality: I can’t even think of taking an evening stroll on the historic - and once upon a time most beautiful - promenade of the Mandovi waterfront by myself anymore. It has already become an unsafe zone.” This thuggish, illegal takeover of precious public space is only one part of “the siege” outlined by Mascarenhas: “We must acknowledge that it is not just a visual relief to see the casino signage removed from the long Miramar-to-Caranzalem stretch, but something much deeper. The sight represented, and still represents, a glimmer of hope that our cultural devastation is not yet permanent. We all know every signage matters: that visuals impact neurons which shape the intellect, so just think about what message has continually been transmitted to our children from every ten metres on every road. Now, at this juncture, it’s very clear the taking down of casino advertising is an acknowledgement of wrongdoing by the city and state authorities. If they replace it all after the PM leaves, it will be an equally open proof of their apathy, and total negligence towards the society they have supposedly taken an oath to serve.” To be sure, evidence of that last sad fact has long been in view from the most entrenched political forces in Goa, after (just one decade ago) the late chief minister Manohar Parrikar reversed his pre-election protestations against casinos, and revealed himself to be their most significant champion. Nonetheless, the long-time Panjim MLA and Modi confidant (whose long-dormant memorial on Miramar beach was also haphazardly raced to completion for today
[Goanet] Serendipitous Opportunities? (Navhind Times, 18/12/2022)
https://www.navhindtimes.in/2022/12/18/magazines/panorama/serendipitous-opportunities/ Considering the minuscule scale of Panjim, and the giant ambitions of the Serendipity Arts Festival that has already played out citywide four times previously (during which time I myself curated three exhibitions in six venues) it’s absolutely astonishing how this now-well-established event continues opening up new heritage spaces for culture. That is certainly the case in 2022, with some outstanding winners already immediately apparent. Before everything gets dismantled by the end of this week, I highly recommend visiting the refurbished Excise Building (roughly opposite Clube Nacional) and the lovely Post Office Museum opposite the GPO. It must be acknowledged that events of such size are inherently complicated for city residents, and strain the already overburdened infrastructure of Panjim which is simultaneously beset by the destructive caprices and deeply dubious motivations of so-called “Smart City”. In combination, the two have produced something truly surreal: full-scale “feast bazaar” blending in and around Serendipity artworks, set up in an egregious moonscape of dug-up roads. As a result, one cannot be sure, at first or even second glance, what has been planned or simply occurred accidentally. The entire city feels like an abstruse installation. My recommendation for coping is the spell-binding *Orientalist Archives: Indo-British Painting in Colonial India* at the Post Office Museum. We must hope the concerned authorities - notably Sudhir Jakhere, the excellent Senior Superintendent of Post Offices (Goa) - will urgently ensure the exhibition stays open for at least another month, so that as many citizens as possible can savour this curatorial masterwork by the eminent art historian Dr. Jyotindra Jain with Jutta Jain-Neubauer. Their main wall text explains how the “so-called Company School is a mélange of various visual styles and expressions, but it is so-called as these paintings were mostly patronized by the officials of the British as well as other European East India Companies operating in India from the mid-18th to the end of the 19th century, spilling over into the early 20th. Executed in miniature format, the paintings were done on paper or sheets of mica with water-based pigments. The main centres of their production included: Trichinopoly, Madras, Madurai, Tanjore, Malabar, Coorg and Mysore (in the South); Murshidabad, Patna, Calcutta, Benaras, the Oudh region with Faizabad and Lucknow (in Eastern India); and Delhi, Agra, and the Punjab region (in Northern and Western India).” Across this scattered grab-bag of sources, the wall text says “artists trained themselves to construe their subjects through the eyes of their European patrons instilling in their commissioned works an anticipated sense of wonder, distance, aversion and power. In doing so, they dramatized and tableau-ized the everyday, excerpting each theme from its larger visual context which, in combination with their own amateur painterly skills, effected a charming naïveté, as if matching it with their patrons’ fleeting impressions of Indian life. More than their stylistic unity, these paintings cohere on account of their synoptic representation of India as observed by the alien patrons, and as a result, adhered to by the artists.” This is the notorious “colonial gaze” reducing every “native” to status, profession, and usefulness to the project of extracting resources. The artists also very obviously “self-Orientalized” by exotifying their commonplace, in profound and pervasive ways. In this way, their work “clearly share[s] the huge bulk of the equally type-casting texts that were written in the period under the rubric of “People of India” or “Tribes and Castes of India” series, or the colonial Census or Gazetteers of India [and] became a sort of knowledge bank of Hindu paganism, a reference archive for Christian missionaries as well as an exotic visual account of the ‘monstrous’ deities of the Other.” Look closely at these utterly beautiful objects however- I was bowled over by the luminous paintings on mica – and you will detect other impulses: slyness, indifference, badinage. These are important reminders that agency is inherently fluid, and can cascade unpredictably between artist and patron, even from ostensible “colonizer” to the supposed “colonized.” We know the latter happened uproariously completely in Goa, which experienced an extraordinary cultural efflorescence – what we now celebrate as Goan art, architecture, music, cuisine – in the same exact period other Indians in every part of the subcontinent were trapped in “Company School” caricatures. These facts are both undeniable, and still perplexingly absent in the popular imagination: Goa had a hugely different 19th century to any other colonized territory in South Asia. Across generations at that time, Goans gained and exercised considerable freedoms that the rest of In
[Goanet] {Dilip's essays} What cubes do that squares don't
Dec 9
A third bit of reading for you today... I'm invariably fascinated by the
way mathematicians play with numbers, and today's column deals with one
such. And in a way that touches on several different themes.
There are integers that can be expressed as the sum of two rational
squares, but there are very few such. VERY few. In contrast, many more
integers can be expressed as the sum of two rational cubes. Why? Yet while
we know that about the cubes, we don't know what proportion of all integers
such integers are. Yet we do have bounds: that proportion is between 2/21
and 5/6.
I mean, how can you not love the idea of a mathematician working away at a
problem for months or years, and then finding that one part of the solution
is 2/21?
Take a look at my attempt to explain some of this (Mint Friday Dec 9): What
cubes do that squares don't,
https://www.livemint.com/opinion/columns/what-cubes-do-that-squares-dont-11670518210395.html
cheers,
dilip
---
What cubes do that squares don't
Going out on a limb, I'm betting that you don't know what the
Hasse–Minkowski local-global principle for quadratic forms is. Don't worry,
that makes four of us - you three who read this column and me. But even if
I don't know what it is, a recently-published paper tells me that "using
this precise description, we see that a density of 0% of integers are the
sum of two rational squares."
There's something essentially mathematical there. You might interpret it to
mean there are no such integers - 0%, after all. But wait! Take 109, which
is 100 + 9, both of which are rational and squares (of 10 and 3,
respectively). And you can easily find plenty more such pairs. Clearly 0%
is wrong. So what's this "precise description" about?
Here's what it means. Sure, there are a lot of integers that can be
expressed as the sum of two rational squares: in fact, an infinity of them.
But if you take the number of them that's below a given threshold - a
million, say - the fraction these particular integers form of that million
is tiny. Push the threshold up and the fraction gets vanishingly small -
effectively, 0%.
To understand this, start by recognizing that this idea of 0% density is
hardly an unusual characteristic of numbers. Consider the squares
themselves. Up to 100, there are 10 squares, or 10%. Push that threshold to
1000 and we have 31, or 3.1%. Raise to a million? Just 1000 squares, or
0.1%. That fraction is quickly getting vanishingly small - so indeed, the
density of squares is effectively 0%. Since that's so, numbers that are the
sums of pairs of squares also get sparse, if less quickly.
Anyway, there's an easily understood test, dating from the 1600s, for
whether an integer is the sum of two squares. The reality is that the vast
majority of integers fail the test. Another reality is that if an integer
passes the test, the two squares must themselves be integers (like 100 and
9 above) and not fractions (which are also rational).
But if all that's interesting, or even if it isn't, this paper I mentioned
is concerned with squares only in passing. It is actually about summing
cubes ("Integers expressible as the sum of two rational cubes", Levent
Alpöge, Manjul Bhargava, and Ari Shnidman,
https://arxiv.org/pdf/2210.10730.pdf, 19 October 2022). Now why would a
trio of accomplished mathematicians study this? Because, in startling
contrast to squares, the fraction of integers that can be expressed as the
sum of two rational cubes is far from vanishingly small. It's significantly
more than 0%.
This is so because - again in contrast to squares - the rational cubes we
add together to make integers don't have to themselves be integers. Pairs
of fractions can do the job. One example: 13 = (2/3)^3 + (7/3)^3. If there
weren't such pairs of fractions, the density of these particular integers -
like with sums of squares - would be 0%.
Why the stark difference between squares and cubes? That's a conundrum by
itself. But here's the kicker: we know that fraction is higher than 0%, but
we don't know exactly what it is. In fact, pinning it down is one of number
theory's more hoary, grey-haired puzzles, that mathematicians have been
gnawing at for years. We do know that 62 of the integers below 100 can be
expressed as the sum of two rational cubes: 62%. As we get to larger
numbers, it gets harder to identify the ones with this property and nail
down that fraction. So far, mathematicians have only managed informed
conjectures.
For example, some mathematicians showed in 2010 that if the well-known
Birch-Swinnerton-Dyer conjecture - as with Hasse–Minkowski, never mind what
it is - is ever proved, 59% of the integers below 10 million can be
expressed as the sum of two rational cubes. Others have theorized that half
of all integers have this characteristic. As the paper above puts it: "it
is natural to conjecture that the integers that can be expressed as the sum
of two rational cubes should have natural density exactly 1/2."
Still, it remains jus
[Goanet] Fwd: The results of your email commands
-- Forwarded message - From: Marshall Mendonza Date: Wed, Dec 14, 2022 at 6:01 PM Subject: Re: The results of your email commands To: I have stopped receiving copies of the Digest since 22.11.2022. Kindly ensure that I keep received the Digest without fail. Thank you. Regards, Marshall Mendonza On Wed, Oct 19, 2022 at 11:41 AM wrote: > The results of your email command are provided below. Attached is your > original message. > > - Results: > Ignoring non-text/plain MIME parts > Confirmation succeeded > > - Unprocessed: > I have not been receiving the digests since over 6 months. I have > repeatedly brought this to your kind attention. I do not know why this > suddenly stopped as I was received all communication for over 15 > years.There has been no change in my email ID. > Regards, > Marshall Mendonza > On Wed, Oct 19, 2022 at 10:46 AM > wrote: > > Your membership in the mailing list Goanet has been disabled due to > > excessive bounces The last bounce received from you was dated > > 11-Oct-2022. You will not get any more messages from this list until > > you re-enable your membership. You will receive 99 more reminders > > like this before your membership in the list is deleted. > > > > To re-enable your membership, you can simply respond to this message > > (leaving the Subject: line intact), or visit the confirmation page at > > > > > > > http://lists.goanet.org/confirm.cgi/goanet-goanet.org/d3213cb6685c80a933ef2ca3edb177e9310ff0be > > > > > > You can also visit your membership page at > > - Ignored: > > > > > > > http://lists.goanet.org/options.cgi/goanet-goanet.org/mmendonza55%40gmail.com > > > > > > On your membership page, you can change various delivery options such > > as your email address and whether you get digests or not. As a > > reminder, your membership password is > > > > tuneabes > > > > If you have any questions or problems, you can contact the list owner > > at > > > > goanet-ow...@lists.goanet.org > > > > - Done. > > > > > -- Forwarded message -- > From: Marshall Mendonza > To: goanet-requ...@lists.goanet.org > Cc: > Bcc: > Date: Wed, 19 Oct 2022 11:29:28 +0530 > Subject: Re: confirm d3213cb6685c80a933ef2ca3edb177e9310ff0be > I have not been receiving the digests since over 6 months. I have > repeatedly brought this to your kind attention. I do not know why this > suddenly stopped as I was received all communication for over 15 > years.There has been no change in my email ID. > > Regards, > > Marshall Mendonza > > On Wed, Oct 19, 2022 at 10:46 AM wrote: > >> Your membership in the mailing list Goanet has been disabled due to >> excessive bounces The last bounce received from you was dated >> 11-Oct-2022. You will not get any more messages from this list until >> you re-enable your membership. You will receive 99 more reminders >> like this before your membership in the list is deleted. >> >> To re-enable your membership, you can simply respond to this message >> (leaving the Subject: line intact), or visit the confirmation page at >> >> >> http://lists.goanet.org/confirm.cgi/goanet-goanet.org/d3213cb6685c80a933ef2ca3edb177e9310ff0be >> >> >> You can also visit your membership page at >> >> >> http://lists.goanet.org/options.cgi/goanet-goanet.org/mmendonza55%40gmail.com >> >> >> On your membership page, you can change various delivery options such >> as your email address and whether you get digests or not. As a >> reminder, your membership password is >> >> tuneabes >> >> If you have any questions or problems, you can contact the list owner >> at >> >> goanet-ow...@lists.goanet.org >> >
[Goanet] ASIAN CRITIQUE OF PAPAL ENCYCLICALS
The Popes (all Europeans) have written a number of Encyclicals on Social Teaching. They are bound to show a degree of Eurocentric bias and discerning Asian theologians have not accepted them without reserve. In particular, a Sri Lankan theologian, Aloysius Pieris, has presented a detailed critique. He happens to be a founder member of the Ecumenical Association of Third World Theologians (EATWOT) set up in 1976. He is a force to reckon with in Asia and has lectured in the major institutions of the West. Introduction The critique has two aims: 1) to persuade the Vatican to listen and learn from concerned scholars and groups so that the papal encyclicals are truly catholic; 2) to persuade Asian church leaders to evolve a Catholic Social Teaching within Asia's own economic and cultural context. Third world Perspective Papal writings have failed to understand the authentic concept of a Third world. Thus to Pope John II, the Third World is just a geographical area where the poor are manufactured by a heartless Christian First World. Unfortunately, the West's developmental ideology in the 1960s neutralised the idea of a truly third way and reduced the phrase to a mere economic category. Sadly, the Vatican also uncritically accepted this ideology. Why didn't the Holy Ghost advise to Popes when needed? It was in the 1970s that the Third World came to be regarded as a theological category and, EATWOT formed in this decade began to respond to the West's model of development. The Euro Popes continue to believe that their social teaching is universally valid and needs merely adapting to local situations. Instead of dialoguing with Bishops, theologians and the basic communities, the Vatican has been issuing warnings and threats. Asian Perspective It is important to remember that Asia is almost totally (97%) non-Christian. Asia is largely polytheistic or Marxist while only Islam and Hinduism profess a theistic faith, together with a small minority of Christians. Three principles can be extracted from the western Christian formula and re-formulated into an idiom acceptable to Asians: (1) The theological basis of the papal social doctrine is the dignity of the human person and this is nearly all Asian religions. The idea of Image of God may be absent but the primacy of man and woman is affirmed in other ways. (2) There is a parallel between the principle of Natural Law in the CST and the dharma/Tao or the principle of righteousness in some of Asia's gnostic religions. But whereas in the CST, duties are derived from rights rooted in the dignity of each person, Asian religions reverse the process: it is dharma (duty) that justifies rights. So the dignity of the human person is not the source of rights, rather one's responsibilities to others. (3)Finally there is convergence between the ancient Christian belief in the Common Good over individual rights to private property, and Asia's traditional sense of reverential obligation towards the common natural resources. The three aspects above (primacy of the human person, the human rights language and primacy of the common good) are woven into a Christian theory of commutative, distributive and social justice. The papal doctrine seems tied to the West on whose colonial waves Christianity was carried to the shores of Asia. Nowhere does the Pope acknowledge the Christian sinfulness of colonialism so clearly stamped in Asian history. It is difficult for non-Christian Asians to disassociate the Pope's concern for Asia's social ills from the West's blatant expansion of its technocratic power in Asia today. At stake is the credibility of the CST, unlike Liberation theology, which draws from a grassroots Third World experience. It is time for Rome to acknowledge and correct its own failings in the matter of social justice - silencing theologians it does to like, overreacting to criticism levelled against its bureaucracy and most of all its intransigent patriachalism. Rome's unwillingness to confess its own sinfulness makes its version of CST suspect from a biblical viewpoint. The Roman CST has been preoccupied with general principles but is unable to respond critically to the concrete situation. The human rights theology of the West needs to be replaced by a co-responsibility model. The obligations of the strong towards the weak constitute the proper divine order priority of the needs of the poor over the greed of the rich. An authentic CST must promote participatory (rather than merely a liberal) form of democracy.
[Goanet] Still resurrecting the long dead queen
Express editors, there you go again. When hard up for news, just dig up yarns of the long dead Queen and her imaginary exchanges with Charles, Meghan & Harry. What a pathetic state of the 'mainstream' media with their billionaire owners. Eddie
Re: [Goanet] ENOUGH OF THE ROYALS PLEASE
-- Original Message -- From: "Eddie D'Sa" To: expresslett...@express.co.uk Cc: "GoaNet" Sent: Tuesday, 6 Dec, 22 At 12:38 Subject: [Goanet] ENOUGH OF THE ROYALS PLEASE Hi Express Editors, The UK media seem lost without constant references to the Royals. I guess that nothing really exciting is going on in the UK. But why endless views on the Queen (long dead), the King who doesn't know what to do with his time and the lesser Royals? Please cut out news on the boring Royals, including Meghan & Harry. Eddie
[Goanet] Why focus on self-obsessed moron Musk?
Dear Ash, Surely there must lots of topics to discuss apart from Musk & fellow billionaires. UK billionaire media focuses on King Charley, Harry and Megan endlessly. What has the western media been reduced to? And nobody can do a thing about it because just a handful of people own most of the world's wealth and money defines you entirely in the West. Eddie
Re: [Goanet] THE BJP’S GROSS ABUSE OF POWER
Hi Aires, At fault is Modi, BJP King. He no doubt believes that as PM of India he is untouchable. Don't forget he was involved in the killings of over a thousand Muslims, organised by his henchmen. He was then CM of Gujarat. Has Modi been punished for this crime?? The Hindu notion of justice and fair play is not well defined and Modi is ever ready to cut corners in securing whatever he wants. Why won't he enroll in a basic English course that will enable him to speak in English for a change? At the moment he seems fluent in Hindi and Guju. But what of other Indians who speak other languages? The shame is that the other parties like the Congress is too timid to challenge the BJP. So Modi can do what he likes, as nobody dares challenge him. Eddie -- Original Message -- From: "Aires Rodrigues" To: "goanet" Sent: Wednesday, 14 Dec, 22 At 19:32 Subject: [Goanet] THE BJP’S GROSS ABUSE OF POWER Goa has witnessed Governments under various regimes but the abuse of Power by the BJP is unparalleled. It extends to anything and everything. Every rule and established protocol being brazenly breached. The Goa Legislature Secretariat issues stickers to be used by MLAs on their vehicles. But they have reportedly been doled out to all and sundry who are chums of the party. Noticed a car parked in the city bearing registration No GA07 P 7770 and out of curiosity enquired with the Road Transport Office (RTO) about the owner. This vehicle which had an MLA’s sticker belongs to Sidhesh Dessai a resident of Taleigao who is NOT an MLA but prominently in event management and happens to be also closely connected with Mandrem MLA Jit Arolkar. It so reveals that even some history sheeters are flouting these MLA stickers on their cars. What a disgrace. Another instance of Jungle Raj. Speaker Ramesh Tawadkar should look into this serious breach of Protocol. Stickers should be issued with the vehicle registration number on it and only after verifying that the vehicle is in the name of the concerned MLA. Those responsible for giving away these stickers in such a reckless manner must be hauled up. Adv. Aires Rodrigues C/G-2, Shopping Complex Ribandar Retreat Ribandar – Goa – 403006 Mobile No: 9822684372 Office Tel No: (0832) 2444012 Email: airesrodrigu...@gmail.com You can also reach me on Facebook.com/ AiresRodrigues Twitter@rodrigues_aires www.airesrodrigues.in airesrodrigues1@instagram
[Goanet] Schedule for Monday 19th Dec 2022
CCR TV GOA Channel of God's love You can also watch CCR TV live on your smartphone via the CCR TV App Available on Google PlayStore for Android Platform. Click the link below. https://play.google.com/store/apps/details?id=ccr.tv4 Email ID: ccrgoame...@gmail.com Schedule for Monday 19th Dec 2022 12:00 AM Rosary - Joyful Mysteries 12:23 AM Infancy Narratives - Talk by Dr Sarita Nazareth 1:00 AM Mass in Konkani for Sunday 2:00 AM Saibinnichi Ruzai - Sontosache Mister 2:22 AM Devachem Utor - Nehemia - Avesvor 12 - Vachpi Orlando D'Souza 2:36 AM Ximpientlim Motiam - Bhag 110 Raza Ani Bhiku - Fr Pratap Naik sj 2:44 AM Phishing in Troubled Waters - Cybercrime - Episode 2 3:22 AM Hymns - Marina English HS -Verna 3:28 AM Prayer - Alone with none but Thee, my God 3:30 AM Youthopia - Rebecca Mascarenhas - Footballer interviewed by Jessica Sharma 3:52 AM Song - Bangaracho Danth - By Normansez 4:00 AM The Thesis Dr. Saish Deshpande interviewed by Bambino Dias 4:21 AM Song - Let's Care for Our Common Home - Fr Tomas Lobo 4:27 AM Kakluticho Bapui - Puppet Show 4:45 AM Natalam Khoxiechim - Monica Fernandes 4:50 AM Our Father - Tamil 4:54 AM Poem - Jezuchem Ponn by Sandhya Fernandes 4:58 AM Atmavishwas - Vocational Training Center for the Disabled 5:29 AM Hymn - Spread the News that Jesus is Risen - Fr Seville Antao OFM(Cap) 5:31 AM Tithing - Talk by Alfwold Silveira 5:57 AM Kristi Vorgunnik Novsornni - Orlando D'Souza 6:23 AM Orlando Jezuchea zolmaho zagbo sadho 6:52 AM Happy Christmas - Cover by Kevin Mendes 6:55 AM Sokalchem Magnnem - Advent 17th to 24th December 7:00 AM Kirton ani bozonn - Lindinha D'Cunha 7:30 AM Morning Prayer - Advent 17th to 24 th December 7:34 AM Prophetic Intercession 3 - Cyril John 8:00 AM Advertisements 8:05 AM LSS God's Love Day 1 Victor Pereira 9:21 AM Katholik Bhavarth - Talk by Adv. F.E. Noronha 10:17 AM Katholik Quiz - Manevont Pri. Agnelo de Souza conducted by Shenaya Pereira 10:29 AM Abundant Life - Peer Pressure - Prof Nicholas D'Souza 11:20 AM Intercessions - English 11:27 AM Angelus - English 11:30 AM Mass in English followed by Daily Flash 12:15 PM Carol -Clube Acoustica - Colva 12:28 PM The Earth - Our Home - Birds of Goa 12:56 PM Ask Dr Sweezel - Which side is preferabe to sleep? 1:00 PM Gonvllik Chitt - Fr. Simiao Fernandes 1:11 PM Hymn -Keep up the Faith - Cassini Suiam 1:15 PM Kolakarachi bhett - Romeo D'Costa interviewed by Meena Goes 1:37 PM 53rd Mando Festival - Goychim Lharam, Carmona - Dance 1:47 PM Prayer while travelling - St Joseph Vaz 1:49 PM St. Francis of Assisi - Christmas Crib - Fr. Valerian Ferrao OFM 2:02 PM Christmas Carols - Mae De Deus Choir, Saligao 2:13 PM Pope's Intention in Konkani 2:16 PM Ekvottanv - Talk by Orlando D'Souza 2:44 PM Music - Coracao Santo 2 - Victor Da Costa 2:46 PM Holiness in the Pauline Family - Ven Thecla Merlo - Fr Jorge Fernandes (Konk} 2:53 PM Gaddie-Vahonan Vechea Vellar Bhagevont Zuze Vazache Mozotin Magnnem 2:57 PM Global Goan Virtual Choir 3:08 PM Poem - They are resting, resting in peace by Daniel F. de Souza 3:10 PM Hymn - Sant Antoni Ixtta- Fr Seveille Antao OFM Cap 3:15 PM Hymn - Ave Verum Corpus - Frazer Andrade 3:19 PM Devachem Utor - Nehemia - Avesvor 13 - Vachpi Orlando D'Souza 3:30 PM Divine Mercy Chaplet - English 3:39 PM Song : Christmas Mashup - 1 Tri 3:49 PM Skit - Reach out the World Needs You - St Thomas Parish Catechetical Apostolate, Aldona 4:00 PM Rosary - Joyful Mysteries 4:23 PM Bhajan - Manusya Devachara Bandi - Fr Glen D'Silva sfx 4:30 PM Senior Citizens Exercises - COOJ 4:56 PM Bhurgeanlem Angonn - Bhag 11 5:00 PM Career Guidance -Institute of Maritime Studies, Bogda 5:30 PM Prayer - You are My Refuge Lord 5:33 PM Entrepreneurship - Carlos and Cyrus Noronha 5:56 PM Aimorechen Magnnem 6:00 PM Mass in Konkani followed by Jivitacho Prokas 6:45 PM Sustainable Ripples - Eps 2 Salt Extraction 7:00 PM Talk on WIlls - Adv Gustavo Monteiro 7:30 PM Saibinnichi Ruzai - Sontosache Mister 7:52 PM Ximpientlim Motiam -Bhag 224 - Victor Frankl - Fr Pratap Naik sj 8:00 PM Tell Me a Story - Eps 94 - David takes shelter at a shrine 8:08 PM Our Father - Telegu 8:12 PM Jesus Name above all names - Colin Calmiano 8:40 PM Carols - Candeia Stars of Pomburpa 8:51 PM Devachem Utor - Tobit - Avesvor 1 - Vachpi Orlando D'Souza 9:00 PM Advertisements 9:05 PM Adoration - DCLA 5 9:35 PM Ratchem Magnem 9:52 PM Global Goan - A Voice - Eps 2 10:54 PM Amchi Bhas Amche Borovpi - Pandharinath D Lotlikar interviewed by Daniel de Souza 11:25 PM Prayer : Benedictus 11:28 PM Literally Goa - Xavier Cota interviewed by Frederick Noronha 11:58 PM Prayer - Alone with none but Thee, my God Donations may be made to: Beneficiary name : CCR GOA MEDIA. Name of Bank : ICICI Bank Branch Name: Panaji
[Goanet] Cristiano Ronaldo
A SAD ENDWith fate deserting him, the world’s onetime footballing mersmeriser, Cristiano Ronaldo, crashes out of the World Cup 2022.To me, it’s no more the cup that cheered!Bennet PaesLikeCommentShare
[Goanet] SEQC events on Sunday, December 11, 2022
Sunday, December 11, will see a triple header organised by SEQC at the Urban Health Centre (opposite Hospicio Hospital) in Margao. * 10am to ~1pm: Mahaquizzer, a solo written quiz on general subjects, conducted nationwide by the Karnataka Quizzing Association (KQA) * 2.30pm to ~5.30pm: AsiaSweep, a projected quiz on everything related to Asia, for teams of 2 members each, conducted nationwide by the KQA * 6pm to ~8pm: Vietnam by Cycle, a presentation by Lynn Barreto Miranda on his journey around Vietnam on a bicycle All events are open to all, and entry is free. Please bring your own pens and backing boards. More details on https://seqc.blogspot.com IMPORTANT: These events were earlier announced for a Panjim venue, but in view of the traffic restrictions announced by the Goa Traffic Police because of the PM's visit to Panjim, they have been shifted to the Urban Health Centre (opposite Hospicio Hospital) in Margao. The timings and other details remain the same. This above all – to thine own self be true ~ William Shakespeare Aniruddha Sen Gupta Casa Central, House no 27/8, Olaulim, Pomburpa, Bardez, Goa 403523 +91-9527291947 https://anniewrites.blog/ https://comixreview.co.in/
[Goanet] Police brutality
To The Editor thegoan.net Sir, I read your article Police brutality and the protction of human rights on Sunday 18th December, 2022. The Police Act, 1861 vests the superintendence of the police directly in the hands of the political executive i.e the state government. At the present time, the Head of Police (Director General/ Inspector General) enjoys her/his tenure at the pleasure of the Chief Minister. S/he may be removed from the post at any time without assigning any reasons. Such a state of affairs has resulted in wide-spread politicisation of the police where increasingly, allegiance is owed not to the law but to the ruling political elite. The pervasiveness of this influence over the rank and file, as much as senior police officers in ways that are not keeping with police regulations means that there is lesser obedience to the law, chain of command and established procedures. A.J de Souza ajdso...@rediffmail.com
[Goanet] LIBERATION OR BONDAGE?
On 19th December Goa may be officially observing Liberation Day, but those in Power have miserably failed to provide even the basic amenities in our little State. We make out that we have been liberated – but from what? We have merely replaced one set of oppressors with another far worse. They have invaded our Goa, rampantly destroying the land and culture, whilst lining their pockets. Good motorable roads, uninterrupted water and power supply, quality health and educational facilities as well as employment for our educated youth are the bare minimum requirements which the Government should have focused on and endeavored to deliver. With the rampant destruction of our pristine hills and fields, the future is bleak with even our forests not spared. The very crucial Mhadei issue is haunting us while the damage being done to Goa is colossal. With the soaring crime rate this once safe haven is in utter peril. A crying shame indeed, that we have reached this sad state of affairs with Goa driven to the brink by the very people we elected in trust at various levels of Governance. Nothing more needs to be said on the political prostitution that has been ravaging our political turf. Goa needs to be freed from corruption, nepotism and see Good Governance. There has to be total transparency and accountability in the functioning of the Government. Our State has to be unchained from being a gambling, drug and prostitution den. It cannot continue being a safe haven for crime and criminals. Only then will we have reason to proudly celebrate a truly Liberated Goa. Adv. Aires Rodrigues C/G-2, Shopping Complex Ribandar Retreat Ribandar – Goa – 403006 Mobile No: 9822684372 Office Tel No: (0832) 2444012 Email: airesrodrigu...@gmail.com You can also reach me on Facebook.com/ AiresRodrigues Twitter@rodrigues_aires www.airesrodrigues.in airesrodrigues1@instagram
[Goanet] P.CTRUST felicitates Maxson
Maxon felicitated by PCTRUST Maxon Arnish Pereira , MMHS stood First with score 573 at SSC, GBSHSE, 2022, among Chinchinim Schools .First Boy in AVC FIRST in Maths Kon .Hindi MATHS n Science ,second Science Receives 44 awards under TRUST and Rs 70045 with citations
