987 resultados para Trigonometry Formulas


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En todos los pueblos el origen de la creación, al interior de las distintas religiones y dentro del universo entero, se manifiesta por la palabra, a la que se considera la fuerza genérica, de origen divino, fundadora y productora de todas las cosas tanto materiales como espirituales. La voz se equipara a la emisión de un soplo milagroso. Nombrar es un acto de creación; crear y nombrar, entonces, se convierten en sinónimos: "en el principio era el Verbo y el Verbo era Dios". Sobre esas antiguas creencias se generaron mitos, se conformaron relatos legendarios y nacieron fórmulas de comunicación. Las culturas indígenas conservan hermosas leyendas entregadas por la tradición oral; recuerdo de ideales épocas y "tiempo de los sueños": la edad de la poesía. Poesía que transmite historia y mitos; cantos que permiten investigar y mantener la inteligencia activa: la permanencia de la memoria genética

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Duplicate, filtered samples of North Atlantic Deep Water (NADW) were irradiated for 28 days in a solar simulator. Duplicate dark controls were placed alongside the irradiated samples. After 28 days, samples were extensively photo-degraded based upon colored dissolved organic matter (CDOM) photo-bleaching (> 95%). Samples were solid phase extracted using PPL resin to isolate, concentrate and desalt the dissolved organic matter (DOM) in the samples. Ultrahigh resolution electrospray ionization Fourier transform ion cyclotron resonance mass spectrometry (FTICR-MS) enabled 3024 molecular formulas to be identified in the dark control. Photo-degradation decreased molecular diversity, with 2402 formulas assigned post-irradiation. Molecular formulas were classified based upon their photo-lability as 1) photo-resistant; 2) photo-labile; and, 3) photo-produced. Photo-resistant DOM made up 73% of all formulas and was dominated by highly unsaturated molecular signatures consistent with carboxylic-rich alicyclic molecules, suggesting that these apparently bio-refractory compounds may also survive multiple passages through sunlit surface waters and thus accumulate for timeframes exceeding ocean ventilation. Photo-labile DOM was enriched in low molecular weight formulas, aromatic molecular formulas, and sulfur and phosphorous containing formulas. Compounds containing both sulfur and nitrogen were particularly photo-labile and may represent an underappreciated component of the photo-reactive CDOM pool. Photo-produced DOM was enriched in higher molecular weight formulas, as well as aliphatic and peptide formulas. Molecular formulas are indexed by their photo-lability classification in the supplementary information.

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Gabbroic rocks and their late differentiates recovered at Site 735 represent 500 m of oceanic layer 3. The original cooling of a mid-ocean ridge magma chamber, its penetration by ductile shear zones and late intrusives, and the subsequent penetration of seawater through a network of cracks and into highly permeable magmatic hydrofracture horizons are recorded in the metamorphic stratigraphy of the core. Ductile shear zones are characterized by extensive dynamic recrystallization of primary phases, beginning in the granulite facies and continuing into the lower amphibolite facies. Increasing availability of seawater during dynamic recrystallization is reflected in depletions in 18O, increasing abundance of amphibole of variable composition and metamorphic plagioclase of intermediate composition, and more complete coronitic or pseudomorphous static replacement of magmatic minerals. Downcore correlation of synkinematic assemblages, bulk-rock oxygen isotopic compositions, and vein abundance suggest that seawater is introduced into the crust by way of small cracks and veins that mark the end of the ductile phase of deformation. This "deformation-enhanced" metamorphism dominates the upper 180 and the lower 100 m of the core. In the lower 300 m of the core, mineral assemblages of greenschist and zeolite facies are abundant within or adjacent to brecciated zones. Leucocratic veins found in these zones and adjacent host rock contain diopside, sodic plagioclase, epidote, chlorite, analcime, thomsonite, natrolite, albite, quartz, actinolite, sphene, brookite, and sulfides. The presence of zircon, Cl-apatite, sodic plagioclase, sulfides, and diopside in leucocratic veins having local magmatic textures suggests that some of the veins originated from late magmas or from hydrothermal fluids exsolved from such magmas that were subsequently replaced by (seawater-derived) hydrothermal assemblages. The frequent association of these late magmatic intrusive rocks within the brecciated zones suggests that they are both artifacts of magmatic hydrofracture. Such catastrophic fracture and hydrothermal circulation could produce episodic venting of hydrothermal fluids as well as the incorporation of a magmatically derived hydrothermal component. The enhanced permeability of the brecciated zones produced lower temperature assemblages because of larger volumes of seawater that penetrated the crust. The last fractures were sealed either by these hydrothermal minerals or by late carbonate-smectite veins, resulting in the observed low permeability of the core.

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To deliver sample estimates provided with the necessary probability foundation to permit generalization from the sample data subset to the whole target population being sampled, probability sampling strategies are required to satisfy three necessary not sufficient conditions: (i) All inclusion probabilities be greater than zero in the target population to be sampled. If some sampling units have an inclusion probability of zero, then a map accuracy assessment does not represent the entire target region depicted in the map to be assessed. (ii) The inclusion probabilities must be: (a) knowable for nonsampled units and (b) known for those units selected in the sample: since the inclusion probability determines the weight attached to each sampling unit in the accuracy estimation formulas, if the inclusion probabilities are unknown, so are the estimation weights. This original work presents a novel (to the best of these authors' knowledge, the first) probability sampling protocol for quality assessment and comparison of thematic maps generated from spaceborne/airborne Very High Resolution (VHR) images, where: (I) an original Categorical Variable Pair Similarity Index (CVPSI, proposed in two different formulations) is estimated as a fuzzy degree of match between a reference and a test semantic vocabulary, which may not coincide, and (II) both symbolic pixel-based thematic quality indicators (TQIs) and sub-symbolic object-based spatial quality indicators (SQIs) are estimated with a degree of uncertainty in measurement in compliance with the well-known Quality Assurance Framework for Earth Observation (QA4EO) guidelines. Like a decision-tree, any protocol (guidelines for best practice) comprises a set of rules, equivalent to structural knowledge, and an order of presentation of the rule set, known as procedural knowledge. The combination of these two levels of knowledge makes an original protocol worth more than the sum of its parts. The several degrees of novelty of the proposed probability sampling protocol are highlighted in this paper, at the levels of understanding of both structural and procedural knowledge, in comparison with related multi-disciplinary works selected from the existing literature. In the experimental session the proposed protocol is tested for accuracy validation of preliminary classification maps automatically generated by the Satellite Image Automatic MapperT (SIAMT) software product from two WorldView-2 images and one QuickBird-2 image provided by DigitalGlobe for testing purposes. In these experiments, collected TQIs and SQIs are statistically valid, statistically significant, consistent across maps and in agreement with theoretical expectations, visual (qualitative) evidence and quantitative quality indexes of operativeness (OQIs) claimed for SIAMT by related papers. As a subsidiary conclusion, the statistically consistent and statistically significant accuracy validation of the SIAMT pre-classification maps proposed in this contribution, together with OQIs claimed for SIAMT by related works, make the operational (automatic, accurate, near real-time, robust, scalable) SIAMT software product eligible for opening up new inter-disciplinary research and market opportunities in accordance with the visionary goal of the Global Earth Observation System of Systems (GEOSS) initiative and the QA4EO international guidelines.

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Dissolved organic matter (DOM) in marine sediments is a complex mixture of thousands of individual constituents that participate in biogeochemical reactions and serve as substrates for benthic microbes. Knowledge of the molecular composition of DOM is a prerequisite for a comprehensive understanding of the biogeochemical processes in sediments. In this study, interstitial water DOM was extracted with Rhizon samplers from a sediment core from the Black Sea and compared to the corresponding water-extractable organic matter fraction (<0.4 µm) obtained by Soxhlet extraction, which mobilizes labile particulate organic matter and DOM. After solid phase extraction (SPE) of DOM, samples were analyzed for the molecular composition by Fourier Transform Ion-Cyclotron Resonance Mass Spectrometry (FT-ICR MS) with electrospray ionization in negative ion mode. The average SPE extraction yield of the dissolved organic carbon (DOC) in interstitial water was 63%, whereas less than 30% of the DOC in Soxhlet-extracted organic matter was recovered. Nevertheless, Soxhlet extraction yielded up to 4.35% of the total sedimentary organic carbon, which is more than 30-times the organic carbon content of the interstitial water. While interstitial water DOM consisted primarily of carbon-, hydrogen- and oxygen-bearing compounds, Soxhlet extracts yielded more complex FT-ICR mass spectra with more peaks and higher abundances of nitrogen- and sulfur-bearing compounds. The molecular composition of both sample types was affected by the geochemical conditions in the sediment; elevated concentrations of HS- promoted the early diagenetic sulfurization of organic matter. The Soxhlet extracts from shallow sediment contained specific three- and four-nitrogen-bearing molecular formulas that were also detected in bacterial cell extracts and presumably represent proteinaceous molecules. These compounds decreased with increasing sediment depth while one- and two-nitrogen-bearing molecules increased, resulting in a higher similarity of both sample types in the deep sediment. In summary, Soxhlet extraction of sediments accessed a larger and more complex pool of organic matter than present in interstitial water DOM.

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Radiocarbon datings are used to calculate mean sedimentation rates of metalliferous sediments in the southern arid zone of the Pacific Ocean adjoining the axis of the East Pacific rise (20°S). Owing to low sedimentation rates and intense mixing, only averaged figures could be obtained for ages less than 16 ky. Sedimentation rate varies from 0.3 to about 1 cm/1000 years in the surface layer and is several times higher in the time interval from 20 ky to 45 ky ago. Formulas for calculating mean sedimentation rates with allowance for benthic mixing are presented.

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Although sulfur is an essential element for marine primary production and critical for climate processes, little is known about the oceanic pool of non-volatile dissolved organic sulfur (DOS). We present a basin-scale distribution of solid phase extractable DOS in the East Atlantic Ocean and the Atlantic sector of the Southern Ocean. While molar DOS versus dissolved organic nitrogen (DON) ratios of 0.11 ± 0.024 in Atlantic surface water resembled phytoplankton stoichiometry (S/N ~ 0.08), increasing dissolved organic carbon (DOC) versus DOS ratios and decreasing methionine-S yield demonstrated selective DOS removal and active involvement in marine biogeochemical cycles. Based on stoichiometric estimates, the minimum global inventory of marine DOS is 6.7 Pg S, exceeding all other marine organic sulfur reservoirs by an order of magnitude.

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With regression formulas replaced by equilibrium conditions, a spatial CGE model can substantially reduce data requirements. Detailed regional analyses are thus possible in countries where only limited regional statistics are available. While regional price differentials play important roles in multi-regional settings, transport does not receive much attention in existing models. This paper formulates a spatial CGE model that explicitly considers the transport sector and FOB/CIF prices. After describing the model, performance of our model is evaluated by comparing the benchmark equilibrium for China with survey-based regional I-O and interregional I-O tables for 1987. The structure of Chinese economies is summarized using information obtained from the benchmark equilibrium computation. This includes regional and sectoral production distributions and price differentials. The equilibrium for 1997 facilitates discussion of changes in regional economic structures that China has experienced in the decade.

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Los polímeros armados con fibras (FRP) se utilizan en refuerzos de estructuras de hormigón debido sobre todo a sus excelentes propiedades mecánicas, su resistencia a la corrosión y a su ligereza que se traduce en facilidad y ahorro en el transporte, puesta en obra y aplicación, la cual se realiza de forma muy rápida, con pocos operarios y utilizando medios auxiliares ligeros, minimizándose las interrupciones del uso de la estructura y las molestias a los usuarios. Las razones presentadas anteriormente, han despertado un gran inter´es por parte de diferentes grupos de investigación a nivel mundial y que actualmente se encuentran desarrollando nuevas técnicas de aplicación y métodos de cálculo. Sin embargo, las investigaciones realizadas hasta la fecha, muestran un procedimiento bien definido y aceptado en lo referente al cálculo a flexión, lo cual no ocurre con el refuerzo a cortante y aunque se ha demostrado que el refuerzo con FRP es un sistema eficaz para incrementar la capacidad ´ultima frente a esfuerzos cortantes, también se pone de manifiesto la necesidad de más estudios experimentales y teóricos para avanzar en el entendimiento de los mecanismos involucrados para este tipo de refuerzo y establecer un procedimiento de diseño apropiado que maximice las excelentes propiedades de este material. Los modelos que explican el comportamiento del refuerzo a cortante de elementos de hormigón armado son complejos y sin transposición directa a fórmulas ingenieriles. Las normas actualmente en vigor, generalmente, establecen empíricamente la capacidad cortante como la suma de las capacidades del hormigón y el refuerzo transversal de acero. Cuando un elemento es reforzado externamente con FRP, los modelos son evidentemente aun más complejos. Las guías y recomendaciones existentes proponen calcular la capacidad del elemento añadiendo la resistencia aportada por el refuerzo externo de FRP a la ya dada por el hormigón y acero transversal. Sin embargo, la idoneidad de este acercamiento es cuestionable puesto que no tiene en cuenta una posible interacción entre refuerzos. Con base en lo anterior se da origen al tema objeto de este trabajo, el cual está orientado al estudio a cortante de elementos de hormigón armado (HA), reforzados externamente con material compuesto de tejido unidireccional de fibra de carbono y resina epoxi. Inicialmente se hace una completa revisión del estado actual del conocimiento de la resistencia a cortante en elementos de hormigón armado con y sin refuerzo externo de FRP, prestando especial atención en los mecanismos actuantes estudiados hasta la fecha. La bibliografía consultada ha sido exhaustiva y actualizada lo que ha permitido el estudio de los modelos propuestos más importantes, tanto para la descripción del fenómeno de adherencia entre hormigón-FRP como de la valoración del aporte al cortante total hecho por el FRP, a través de sendas bases de datos de ensayos de pull-out y de vigas de hormigón armado ensayadas a cortante. Con base en todo lo anterior, se expusieron los mecanismos actuantes en el aporte a cortante hecho por el FRP en elementos de hormigón armado y la forma como las principales guías de cálculo existentes hasta la fecha los abordan. De igual forma se define un modelo de resistencia de esfuerzos para el FRP y se proponen dos modelos para el cálculo de las tensiones o deformaciones efectivas, de los cuales uno esta basado en el modelo de adherencia propuesto por Oller (2005) y el otro en una regresión multivariante para los mecanismos expuestos. Como complemento del estudio de los trabajos encontrados en la literatura, se lleva acabo un programa experimental que, además de aportar más registros a la exigua base de datos existentes, aporte mayor luz a los puntos que se consideran están deficientemente resueltos. Dentro de este programa se realizaron 32 ensayos sobre 16 vigas de 4.5 m de longitud (dos ensayos por viga), reforzadas a cortante con tejido unidireccional de CFRP. Finalmente, estos estudios han permitido proponer modificaciones a las formulaciones existentes en los códigos y guías en vigor. Abstract Its excellent mechanical properties, as well as its corrosion resistance and light weight, which make it easy to apply and inexpensive to ship to the worksite, are the basis of the extended use of fiber reinforced polymer (FRP) as external strengthening for structures. FRP strengthening is a rapid operation calling for only limited labor and lightweight ancillary equipment, all of which minimizes both the interruption of facility usage and user inconvenience. These advantages have aroused considerable interest in civil engineering science and technology and have led to countless applications the world over. Research studies on the shear strength of FRP-strengthened members have been much fewer in number and more controversial than the research on flexural strengthening, for which a more or less standardized and generally accepted procedure has been established. The research conducted and a host of applications around the world have shown that FRP strengthening is an effective technique for raising ultimate shear strength, but it has also revealed a need for further experimental and theoretical research to advance in the understanding of the mechanisms involved and establish suitable design procedures that optimize the excellent properties of this material The models that explain reinforced concrete (RC) shear strength behavior are complex and cannot be directly transposed to engineering formulas. The standards presently in place generally establish shear capacity empirically as the sum of the capacities of the concrete and the passive reinforcement. When members are externally strengthened with FRP, the models are obviously even more complex. The existing guides and recommendations propose calculating capacity by adding the external strength provided by the FRP to the contributions of the concrete and passive reinforcement. The suitability of this approach is questionable, however, because it fails to consider the interaction between passive reinforcement and external strengthening. The subject of this work is based in above, which is focused on externally shear strengthening for reinforced concrete members with unidirectional carbon fiber sheets bonded with epoxy resin. v Initially a thorough literature review on shear of reinforced concrete beams with and without external FRP strengthening was performed, paying special attention to the acting mechanisms studied to date, which allowed the study of the most important models both to describe the bond phenomenon as well as calculating the FRP shear contribution, through separate databases of pull-out tests and shear tests on reinforced concrete beams externally strengthened with FRP. Based on above, they were exposed the acting mechanisms in a FRP shear strengthening on reinforced concrete beams and how guidelines deal the topic. The same way, it is defined a FRP stress strength model and two more models are proposed for calculating the effective stress, one of these is based on the Oller (2005) bond model and another one is the data best fit, taking into account most of the acting mechanisms. To complement the theoretical part we develop an experimental program that, in addition to providing more records to the meager existing database provide greater understanding to the points considered poorly resolved. The test program included 32 tests of 16 beams (2 per beam) of 4.5 m long, shear strengthened with FRP, externally. Finally, modifications to the existing codes and guidelines are proposed.

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The classical Kramer sampling theorem, which provides a method for obtaining orthogonal sampling formulas, can be formulated in a more general nonorthogonal setting. In this setting, a challenging problem is to characterize the situations when the obtained nonorthogonal sampling formulas can be expressed as Lagrange-type interpolation series. In this article a necessary and sufficient condition is given in terms of the zero removing property. Roughly speaking, this property concerns the stability of the sampled functions on removing a finite number of their zeros.

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The classical Kramer sampling theorem provides a method for obtaining orthogonal sampling formulas. In particular, when the involved kernel is analytic in the sampling parameter it can be stated in an abstract setting of reproducing kernel Hilbert spaces of entire functions which includes as a particular case the classical Shannon sampling theory. This abstract setting allows us to obtain a sort of converse result and to characterize when the sampling formula associated with an analytic Kramer kernel can be expressed as a Lagrange-type interpolation series. On the other hand, the de Branges spaces of entire functions satisfy orthogonal sampling formulas which can be written as Lagrange-type interpolation series. In this work some links between all these ideas are established.

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Well, I firmly believe that, as a professor, one has the duty, the obligation to show and explain his work. Not, of course, as a model to imitate, but rather as an opportunity to reflect upon that work. So, I will try to explain some of the considerations that were crucial in the development of each project. It is my hope that these reflections may be of interest to you, and due to my optimistic nature, that you may even enjoy it. Today I am going to present some projects, from a specific point of view: that of MATERIALITY. This is why I decided to title this presentation ARCHITEXTURE: that is, architecture from the point of view of texture, the quality of its material. Our architecture wants to pay attention to materials; we like to use very physical materials. We try to explore the expressive possibilities of different materials. That allows us, on the one hand, to try to master different techniques, and exploit their potential. On the other hand, it also avoids the dangers of style. Style is the death of an architect. When he starts repeating formulas, avoiding experimentation, copying himself, he dies of boredom, of intellectual boredom. Nevertheless, I don’t believe that the material itself determines anything. Architecture is an exercise of the freedom of an architect. Almost nothing is a given. Of course, there is the law of gravity and economic restraints, and even the overwhelming building code. But the most determinant factor is always the freedom of the architect, derived from his mastery of knowledge and culture, and his decision to innovate and to take risks

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Este proyecto tiene como objetivo elaborar un programa de ordenador en Visual Basic para diseñar voladuras a cielo abierto. Se realiza una revisión de las más conocidas formulas de cálculo de voladuras. Para voladuras con barrenos de pequeño diámetro (diámetro hasta 165 mm) se ha programado la formula propuesta por los investigadores sueca y para voladuras con barrenos mayores de 165 mm la formula de Konya y Walter (1990). El software incorpora, también, el cálculo del tamaño medio del escombro a partir del modelo de fragmentación Kuz-Ram, y la obtención del coste de la voladura. La eficacia del software se ha evaluado en tres voladuras realizadas en AngloGold Ashanti, Iduapriem Mine y Adamus Resources (ambos ubicados en Ghana) y Bonikro Gold Mine (Côte d'Ivoire).