Professor Tony Fan-Cheong Chan is currently President of the Hong Kong University of Science and Technology. He was previously Assistant Director of the US National Science Founda-tion (NSF) in charge of the Mathematical and Physical Sciences Directorate, which is the largest directorate of the NSF...
1) For a forward difference table the points $$(x_0,y_0),(x_1,y_1),(x_2,y_2),dots$$ with $$h=x_1-x_0=x_2-x_1=dots$$ so on, and for the function $$y=x^n,$$ say, which of the following statements is true? A) $$frac{Delta^2y_0}{h^2}=12$$ B) $$frac{dy}{dx}=3x^2$$ C) $$frac{d^2y}{dx^2}=6x|_2=12$$ D) $$frac{Delta^2y_0}{h^2}=frac{d^2y}{dx^2}|_{x=x_1}$$ 2) “If $$f(x)$$ is continuous in $$(a,b),$$ then for any $$x$$ in that interval, we shall...
1. Kronecker’s Jugendtraum There is a phrase “Kronecker’s Jugendtraum (dream of youth)” in mathematics. Leopold Kronecker was a German mathematician who worked in the latter half of the 19th century. He obtained his degree at the University of Berlin in 1845 when he was 22 years...
समय: चार घंटा फ्ररवरी 02, 2014 निर्देश: • किसी भी तरह कैलकुलेतर तथा चांदा (protractor) के उपयीग की अनुमति नहीं है। • पैमाना (ruler) तथा परकार (compass) उपयीग किये जा सकते हैं। • सभी प्रश्नों का उत्तर दीजिये। सभी प्रश्नों के अंक समान हैं। अधिकतम अंक: 102 • प्रत्येक प्रश्न के...
[caption id="attachment_5744" align="aligncenter" width="543"] Art : Tamanna Hassan (Tara), Class IV,Kendriya Vidyalaya CRPF, Nine Mile.[/caption]...
[In Historical Perspective] [Creators of Modern Topology] There are indications that there is growing interest among mathematicians in the history of the development of Mathematics. We believe that the there is reason to be glad with such a tendency. After many hundred years of explosive development,...
[caption id="attachment_5730" align="aligncenter" width="627"] Art : Bedanga Kakaty, Class X.[/caption] [caption id="attachment_5731" align="aligncenter" width="630"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5732" align="aligncenter" width="629"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5735" align="aligncenter" width="631"] Art : Nilotpal Kakati, HS 2nd year student.[/caption] [caption id="attachment_5736" align="aligncenter"...
The pigeonhole principle is one of those simple yet beautiful, widely used theorems with lots of applications. Any high school going kid may understand what the theorem wants to say, yet its beauty baffles and brings excitement in even the most experienced mathematician. Someone has...
আগৰ প্ৰবন্ধটিত জ্যামিতিক ধাৰণা আৰু স্বীকাৰ্যৰ প্ৰসংগত এটা সাধাৰণ (common) আলোচনা কৰিলোঁ| তাতেই, ইউক্লিদৰ জ্যামিতিৰ ‘ধাৰণাৰ বাটত’ উজুটি খাবলগীয়া হোৱা গোলমলীয়া স্বীকাৰ্য-সমান্তৰাল স্বীকাৰ্যটি সম্পৰ্কে অলপ আলোচনা কৰিছোঁ| এতিয়া আমি অলপ বেছি সুসংহতভাৱে, কিছু বহলাই অথচ পাৰ্যমানে কম ‘টেকনিকেল’ (technical) হৈ অৰ্থাৎ ‘ধাৰণাভিত্তিক’ মাথোন হৈ, ইউক্লিদীয়...
ব্যস্ততা, ব্যস্ততা আৰু ব্যস্ততা। অধ্যাপক হ'লোঁ বুলিয়েই মই মানুহ নহয় নেকি? যোৱা সপ্তাহত একেলগে সাতটা ক্লাছ আৰু আজি দেওবাৰটোতো বিশেষ পাঠদান। নোৱাৰি আৰু দেই! মোক অলপ বিশ্ৰাম লাগে। যানখনৰ বিশাল পৰ্দাখনৰলৈ চকু ফুৰালোঁ— এতিয়াও বিশ্ববিদ্যালয় পাবলৈ দুই আলোকবৰ্ষ আছে। অন্ততঃ তিনি-চাৰি ঘণ্টা আৰামত এঘুমটি মাৰিব...