Applying pure mathematics: mathematics in the natural sciences

The book of nature is written in the language of mathematics. This quotation, attributed to Galileo, seemed to hold to an unreasonable1 extent in the era of quantum mechanics.

Multi-GNSS precise point positioning with raw single-frequency and dual-frequency measurement models

The emergence of multiple satellite navigation systems, including BDS, Galileo, modernized GPS, and GLONASS, brings great opportunities and challenges for precise point positioning (PPP). We study the contributions of various GNSS combinations to PPP performance based on undifferenced or raw observations, in which the signal delays and ionospheric delays must be considered. A priori ionospheric knowledge, such as regional or global corrections, strengthens the estimation of ionospheric delay parameters. The undifferenced models are generally more suitable for single-, dual-, or multi-frequency data processing for single or combined GNSS constellations. Another advantage over ionospheric-free PPP models is that undifferenced models avoid noise amplification by linear combinations. Extensive performance evaluations are conducted with multi-GNSS data sets collected from 105 MGEX stations in July 2014. Dual-frequency PPP results from each single constellation show that the convergence time of undifferenced PPP solution is usually shorter than that of ionospheric-free PPP solutions, while the positioning accuracy of undifferenced PPP shows more improvement for the GLONASS system. In addition, the GLONASS undifferenced PPP results demonstrate performance advantages in high latitude areas, while this impact is less obvious in the GPS/GLONASS combined configuration. The results have also indicated that the BDS GEO satellites have negative impacts on the undifferenced PPP performance given the current “poor” orbit and clock knowledge of GEO satellites. More generally, the multi-GNSS undifferenced PPP results have shown improvements in the convergence time by more than 60 % in both the single- and dual-frequency PPP results, while the positioning accuracy after convergence indicates no significant improvements for the dual-frequency PPP solutions, but an improvement of about 25 % on average for the single-frequency PPP solutions.

Exploiting ground-based measurements of the Global Positioning System for numerical weather prediction

Data assimilation provides an initial atmospheric state, called the analysis, for Numerical Weather Prediction (NWP). This analysis consists of pressure, temperature, wind, and humidity on a three-dimensional NWP model grid. Data assimilation blends meteorological observations with the NWP model in a statistically optimal way. The objective of this thesis is to describe methodological development carried out in order to allow data assimilation of ground-based measurements of the Global Positioning System (GPS) into the High Resolution Limited Area Model (HIRLAM) NWP system. Geodetic processing produces observations of tropospheric delay. These observations can be processed either for vertical columns at each GPS receiver station, or for the individual propagation paths of the microwave signals. These alternative processing methods result in Zenith Total Delay (ZTD) and Slant Delay (SD) observations, respectively. ZTD and SD observations are of use in the analysis of atmospheric humidity. A method is introduced for estimation of the horizontal error covariance of ZTD observations. The method makes use of observation minus model background (OmB) sequences of ZTD and conventional observations. It is demonstrated that the ZTD observation error covariance is relatively large in station separations shorter than 200 km, but non-zero covariances also appear at considerably larger station separations. The relatively low density of radiosonde observing stations limits the ability of the proposed estimation method to resolve the shortest length-scales of error covariance. SD observations are shown to contain a statistically significant signal on the asymmetry of the atmospheric humidity field. However, the asymmetric component of SD is found to be nearly always smaller than the standard deviation of the SD observation error. SD observation modelling is described in detail, and other issues relating to SD data assimilation are also discussed. These include the determination of error statistics, the tuning of observation quality control and allowing the taking into account of local observation error correlation. The experiments made show that the data assimilation system is able to retrieve the asymmetric information content of hypothetical SD observations at a single receiver station. Moreover, the impact of real SD observations on humidity analysis is comparable to that of other observing systems.

Galilein ja Miltonin ihmeellinen tapaaminen

Tarkastelun kohteena on Galileo Galilein ja John Miltonin tapaaminen 1638 sekä Galilein inkvisitio-oikeudenkäynnin vaikutus John Miltonin käsitykseen sananvapaudesta. Artikkelia on täydennetty 2009.

Is General Relativity a simplified theory?

IARD 8th Biennial Conference on Classical and Quantum Relativistic Dynamics of Particles and Fields - Galileo Galilei Inst Theoret Phys (GGI), Florence, ITALY - MAY 29-JUN 01, 2012. Edited by:Horowitz, LP

Theory and simulation of the optical response of novel nanomaterials from visible to terahertz

133 p.

O que há de metafísica na mecânica do século XVIII?

Ao contrário do período precedente de criação da chamada ciência moderna, o século XVIII parece não desempenhar um papel fundamental no desenvolvimento da física. Na visão de muitos autores, o século das luzes é considerado como uma fase de organização da mecânica que teve seu coroamento com as obras de Lagrange, imediatamente precedidas por Euler e dAlembert. Muitos autores afirmam que na formulação da mecânica racional houve uma eliminação gradual da metafísica e também da teologia e que o surgimento da física moderna veio acompanhado por uma rejeição da metafísica aristotélica da substância e qualidade, forma e matéria, potência e ato. O ponto central da tese é mostrar que, no século XVIII, houve uma preocupação e um grande esforço de alguns filósofos naturais que participaram da formação da mecânica, em determinar como seria possível descrever fenômenos através da matemática. De uma forma geral, a filosofia mecanicista exigia que as mudanças observadas no mundo natural fossem explicadas apenas em termos de movimento e de rearranjos das partículas da matéria, uma vez que os predecessores dos filósofos iluministas conseguiram, em parte, eliminar da filosofia natural o conceito de causas finais e a maior parte dos conceitos aristotélicos de forma e substância, por exemplo. Porém, os filósofos mecanicistas divergiam sobre as causas do movimento. O que faria um corpo se mover? Uma força externa? Uma força interna? Força nenhuma? Todas essas posições tinham seus adeptos e todas sugeriam reflexões filosóficas que ultrapassavam os limites das ciências da natureza. Mais ainda: conceitos como espaço, tempo, força, massa e inércia, por exemplo, são conceitos imprescindíveis da mecânica que representam uma realidade. Mas como a manifestação dessa realidade se torna possível? Como foram definidos esses conceitos? Embora não percebamos explicitamente uma discussão filosófica em muitos livros que versam sobre a mecânica, atitudes implícitas dessa natureza são evidentes no tratamento das questões tais como a ambição à universalidade e a aplicação da matemática. Galileu teve suas motivações e suas razões para afirmar que o livro da natureza está escrito em liguagem matemática. No entanto, embora a matemática tenha se tornado a linguagem da física, mostramos com esta tese que a segunda não se reduz à primeira. Podemos, à luz desta pesquisa, falarmos de uma mecânica racional no sentido de ser ela proposta pela razão para organizar e melhor estruturar dados observáveis obtidos através da experimentação. Porém, mostramos que essa ciência não foi, como os filósofos naturais pretendiam que assim fosse, obtidas sem hipóteses e convenções subjetivas. Por detrás de uma representação explicativa e descritiva dos fenômenos da natureza e de uma consistência interna de seus próprios conteúdos confirmados através da matemática, verificamos a presença da metafísica.

A interação entre ciência e valores segundo Hugh Lacey: estratégias, controvérsias e a garantia do bem-estar de todos

Este trabalho analisa questões relacionadas a interação entre ciência e os valores de acordo com o modelo de desenvolvimento científico apresentado por Hugh Lacey. É realizado um exame das principais questões relacionadas ao ideal de uma ciência livre de valores, que possui raízes na defesa da autonomia científica feita por Galileu Galilei; o lugar que estes valores (cognitivos e não-cognitivos) ocupam e seu grau de influência dentro da pesquisa científica. Uma comparação entre as noções de paradigma e estratégia propostas por Thomas Kuhn e Hugh Lacey, respectivamente, são apresentadas, bem como as posições de Helen Longino como representante de um fazer científico feminista. Esta dissertação também apresenta o estudo de caso acerca da implantação e uso das sementes transgênicas. Mais do que um simples exemplo, o estudo de caso apresentado por Lacey abre oportunidade para a pluralidade de estratégias na ciência como principal modo de alcançar o bem estar de todos.

Enseñanza de nociones básicas de probabilidad por medio del juego de dados

La siguiente es una propuesta didáctica para la enseñanza- aprendizaje de la probabilidad clásica en el ámbito escolar. El trabajo se desarrolló con estudiantes de grado octavo, haciendo uso de un problema clásico de la probabilidad, propuesto en el siglo XVII por el Príncipe de Toscana a Galileo Galilei.

The Kepler-10 Planetary System Revisited by HARPS-N: A Hot Rocky World and a Solid Neptune-Mass Planet

Kepler-10b was the first rocky planet detected by the Kepler satellite and confirmed with radial velocity follow-up observations from Keck-HIRES. The mass of the planet was measured with a precision of around 30%, which was
insufficient to constrain models of its internal structure and composition in detail. In addition to Kepler-10b, a second planet transiting the same star with a period of 45 days was statistically validated, but the radial velocities were only
good enough to set an upper limit of 20 M⊕ for the mass of Kepler-10c. To improve the precision on the mass for planet b, the HARPS-N Collaboration decided to observe Kepler-10 intensively with the HARPS-N spectrograph
on the Telescopio Nazionale Galileo on La Palma. In total, 148 high-quality radial-velocity measurements were obtained over two observing seasons. These new data allow us to improve the precision of the mass determination for Kepler-10b to 15%. With a mass of 3.33 ± 0.49 M⊕ and an updated radius of 1.47+0.03 −0.02 R⊕, Kepler-10b has a density of 5.8 ± 0.8 g cm−3, very close to the value predicted by models with the same internal structure and composition as the Earth. We were also able to determine a mass for the 45-day period planet Kepler-10c, with an even better precision of 11%. With a mass of 17.2 ± 1.9 M⊕ and radius of 2.35+0.09 −0.04 R⊕, Kepler-10c has a density of 7.1 ± 1.0 g cm−3. Kepler-10c appears to be the first strong evidence of a class of more massive solid planets with longer orbital periods

Infrastructure and the Architectures of Modernity in Ireland 1916-2016

At the formation of the new Republic of Ireland, the construction of new infrastructures was seen as an essential element in the building of the new nation, just as the adoption of international style modernism in architecture was perceived as a way to escape the colonial past. Accordingly, infrastructure became the physical manifestation, the concrete identity of these objectives and architecture formed an integral part of this narrative. Moving between scales and from artefact to context, Infrastructure and the Architectures of Modernity in Ireland 1916-2016 provides critical insights and narratives on what is a complex and hitherto overlooked landscape, one which is often as much international as it is Irish. In doing so, it explores the interaction between the universalising and globalising tendencies of modernisation on one hand and the textures of local architectures on the other.

The book shows how the nature of technology and infrastructure is inherently cosmopolitan. Beginning with the building of the heroic Shannon hydro-electric facility at Ardnacrusha by the German firm of Siemens-Schuckert in the first decade of independence, Ireland became a point of varying types of intersection between imported international expertise and local need. Meanwhile, at the other end of the century, by the year 2000, Ireland had become one of the most globalized countries in the world, site of the European headquarters of multinationals such as Google and Microsoft. Climatically and economically expedient to the storing and harvesting of data, Ireland has subsequently become a repository of digital information farmed in large, single-storey sheds absorbed into anonymous suburbs. In 2013, it became the preferred site for Intel to design and develop its new microprocessor chip: the Galileo. The story of the decades in between, of shifts made manifest in architecture and infrastructure from the policies of economic protectionism, to the opening up of the country to direct foreign investment and the embracing of the EU, is one of the influx of technologies and cultural references into a small country on the edges of Europe as Ireland became both a launch-pad and testing ground for a series of aspects of designed modernity.

Infra-Éireann: Making Ireland Modern - Irish Pavilion for the 14th Architectural biennale, Venice 2014.

After an open competition, we were selected to commission, curate and design the Irish pavilion for the Venice biennale 2014. Our proposal engage with the role of infrastructure and architecture in the cultural development of the new Irish state 1914-2014. This curatorial programme was realised in a demountable, open matrix pavilion measuring 12 x 5 x 6 metres.

How modernity is absorbed into national cultures usually presupposes an attachment to previous conditions and a desire to reconcile the two. In an Irish context, due to the processes of de-colonisation and political independence, this relationship is more complicated.

In 1914, Ireland was largely agricultural and lacked any significant industrial complex. The construction of new infrastructures after independence in 1921 became central to the cultural imagining of the new nation. The adoption of modernist architecture was perceived as a way to escape the colonial past. As the desire to reconcile cultural and technological aims developed, these infrastructures became both the physical manifestation and concrete identity of the new nation with architecture an essential element in this construct.

Technology and infrastructure are inherently cosmopolitan. Beginning with the Shannon hydro-electric facility at Ardnacrusha (1929) involving the German firm of Siemens-Schuckert, Ireland became a point of various intersections between imported international expertise and local need. By the turn of the last century, it had become one of the most globalised countries in the world, site of the European headquarters of multinationals such as Google and Microsoft. Climatically and economically expedient to the storing and harvesting of data, Ireland has subsequently become an important repository of digital information farmed in large, single-storey sheds absorbed into dispersed suburbs. In 2013, it became the preferred site for Intel to design and develop its new microprocessor board, the Galileo, a building block for the internet of things.

The story of the decades in between, of shifts made manifest in architecture and infrastructure, from the policies of economic protectionism to the embracing of the EU is one of the influx of technologies and cultural references into a small country on the edges of Europe: Ireland as both a launch-pad and testing ground for a series of aspects of designed modernity.

Q-enhancement with on-chip inductor optimization for reconfigurable Δ-Σ radio-frequency ADC

The paper details on-chip inductor optimization for a reconfigurable continuous-time delta-sigma (Δ-Σ) modulator based radio-frequency analog-to-digital converter. Inductor optimisation enables the Δ-Σ modulator with Q enhanced LC tank circuits employing a single high Q-factor on-chip inductor and lesser quantizer levels thereby reducing the circuit complexity for excess loop delay, power dissipation and dynamic element matching. System level simulations indicate at a Q-factor of 75 Δ- Σ modulator with a 3-level quantizer achieves dynamic ranges of 106, 82 dB and 84 dB for RFID, TETRA, and Galileo over bandwidths of 200 kHz, 10 MHz and 40 MHz respectively.