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1.
Dawn of science     
T. Padmanabhan 《Resonance》2011,16(10):950-955
Descartes discovered the link between algebra and geometry, which forms the cornerstone of applied geometry today.  相似文献   
2.
The discovery of the cosmic microwave background radiation in 1965 was a defining moment in the history of cosmology — the science that deals with the universe as a whole, its origin, evolution and future. This discovery was recognized with Nobel Prizes to Penzias and Wilson in 1978. The Nobel Prize in Physics for 2006 further acknowledged the importance of the study of this background radiation. The precise measurement of the spectrum of this radiation and its variation across the sky have helped our understanding of the evolution of structures in the universe. This article explains these discoveries and their importance. T Padmanabhan is a professor at IUCAA, Pune. He is interested in all aspects of theoretical physics, and especially in those in which gravity plays a role.  相似文献   
3.
Dawn of science     
T. Padmanabhan 《Resonance》2012,17(6):532-537
With the works of Cavendish, Priestley and Lavoisier, chemistry emerged as an exact science.  相似文献   
4.
Dawn of science     
T. Padmanabhan 《Resonance》2011,16(7):663-669
What was remarkable about the most misunderstood medieval scientist’s discoveries was the way he arrived at them — by direct observation.  相似文献   
5.
The present study concentrates to make a complete thermal analysis on a rectangular fin with its primary surface by taking into consideration of radiation heat exchange with the surrounding along with the convective mode of heat transfer. The one side of the primary surface is heated by a fluid with high temperature which may be required to dissipate heat quickly by a fin array system. To analyze an actual case study, the thermal conductivity of the fin material and convective heat transfer coefficient over the surface are treated as a variable and they are as a function of the local fin surface temperature. With the aforementioned condition, the energy equations for both the fin and primary surface become nonlinear. The decomposition method is suggested to solve these highly nonlinear equations to obtain a closed form temperature distribution. The result of temperature distribution determined by the present analysis is compared with that of the numerical values. With the adaptation of the simplified case, the present method is also compared with the exactly closed form results. From both of these comparisons, an exact matching of results is found. The fin performances, namely, fin efficiency, surface efficiency and augmentation factor are evaluated for a wide range of thermogeometric parameters.  相似文献   
6.
T. Padmanabhan 《Resonance》2008,13(7):610-618
Thomas precession is a curious effect in special relativity which is purely kinematical in origin and illustrates some important features of the Lorentz transformation. It also has a beautiful geometric interpretation. We will explore these in this and the next installment. T Padmanabhan works at IUCAA, Pune and is interested in all areas of theoretical physics, especially those which have something to do with gravity.  相似文献   
7.
T. Padmanabhan 《Resonance》2008,13(8):706-715
The Foucault pendulum is an elegant device that demonstrates the rotation of the Earth. After describing it, we will elaborate on an interesting geometrical relationship between the dynamics of the Foucault pendulum and Thomas precession discussed in the last installment1. This will help us to understand both phenomena better. T Padmanabhan works at IUCAA, Pune and is interested in all areas of theoretical physics, especially those which have something to do with gravity.  相似文献   
8.
Padmanabhan Seshaiyer 《PRIMUS》2017,27(4-5):476-493
Abstract

In this article, we provide some useful perspectives and experiences in mentoring students in undergraduate research (UR) in mathematical modeling using differential equations. To engage students in this topic, we present a systematic approach to the creation of rich problems from real-world phenomena; present mathematical models that are derived from calculus, but can be suitably modified to solve more complex problems; and finally provide pointers on how to train students through the UR process that can help to impact student’s future academic and non-academic careers.  相似文献   
9.
T. Padmanabhan 《Resonance》2009,14(9):907-915
Variational principles play a central role in theoretical physics in many guises. We will discuss, in this instalment, some curious features associated with a couple of variational problems.  相似文献   
10.
T. Padmanabhan 《Resonance》2009,14(5):499-507
The fact that an accelerated charge radiates energy is considered an elementary textbook result in electromagnetism. Nevertheless, this process of radiation (and its reaction on the charged particle) raises several conundrums about which technical papers are written even today. In this installment, we will try to understand why an accelerated charge radiates in a simple, yet rigorous, manner.  相似文献   
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