The Paganini Project with Peter Sheppard Skærved
Polymathic and ever-curious British violinist Peter Sheppard Skærved delves into the Library's fascinating Niccolò Paganini collection. Examining posters, playbills, letters, manuscripts and memorabilia collected by Paganini himself, he reveals how the virtuoso created his own mystique as a violinist and musical innovator. From his "Secret Red Book" containing recipes, prescriptions, tour dates, a laundry list and financial notes, to clues about the virtuoso's alleged use of a steel bow, our P
Climate Change and Food Security: Challenges, Success and Opportunities in Bangladesh
By: UP Los Baños Presentation by Mr. Mohammad Alamgir, Senior Scientific Officer (Forestry), Ministry of Water Resources, Bangladesh. Delivered during the International Conference on Climate Change Impacts and Adaptation for Food and Environmental Security, November 21-22, 2012 at SEARCA, UPLB, College, Laguna, Philippines.
Groter en kleiner dan Leerlingen vergelijken twee getallen en plaatsen er het juiste teken (>, < of =) tussen. Er wordt gewerkt met getallen tot en met vijf.
Mijn Tuin.org : Meer tuin, minder moeite Deze website bundelt informatie over tuinen en planten. Je vindt er onder andere:
2.7 Inferring relationships of common ancestry This clip addresses the question of how one might go about building a tree, or inferring relationships of common ancestry, by recognising evolutionary novelties, or share 3.2 Natural dives The physiology of the diving response can be studied in the laboratory, but investigating the behaviour of a diving mammal in its natural environment can be more of a problem. However, modern physiological techniques have made it possible to record continuously physiological variables (such as heart rate) and information on depth and position during the spontaneous dives in the wild that are part of the animal's normal behaviour. Most such findings show that the majority of an animal's dives 4.5 More about covalent bonding So far, the valencies in Table 1 have just been numbers that we use to predict the formulae of compounds. But in the case of covalent substances they can tell us more. In particular, they can tell us how the atoms are linked together in the molecule. This information is obtained from a two-dimensional drawing of the structural form 4.3 Metallic bonding Two familiar properties of metals point to a simple model of metallic bonding. Firstly, metals have a strong tendency to form positive ions. Thus, when sodium reacts with water, and when magnesium and aluminium react with acids, hydrogen gas is evolved and the ions Na+(aq), Mg2+(aq) and Al3+(aq), respectively, are formed. Secondly, metals are good conductors of electricity: when a voltage difference is applied 3.5 Electron states and box diagrams So far, we have represented the electronic state of an atom as a collection of sub-shells. Now we turn to the states of the electrons within those sub-shells. Just as shells can be broken down into sub-shells, so sub-shells can be broken down into atomic orbitals. Each atomic orbital describes an allowed spatial distribution about the nucleus for an electron in the sub-shell. Here we shall only be concerned with their number. Consider the formula for the sub-shell electron capaci 1.2 Chemical elements Atoms of the same atomic number behave virtually identically in chemical reactions. They are therefore given the same chemical name and chemical symbol. For example, the atom of atomic number 6, which is shown in Figure 1, is a carbon atom, whose symbol is C. All materials are made of atoms, but there is a special class of substan 11 Additional resources Bandolier (2005) Statins: when should you take the tablet? British Red Cross (2007) First aid guidelines in the UK Cardiac Risk in the Young (2003) When a young person dies suddenly Clay, R. A. (2001) Research to the heart of the matter Department of Health (2000) National Service Framework for coronary heart disease, Chapter 4 Department of Health (2007) The coronary heart disease National Service Framework: shaping the future: progress report 2006 The Nat 9 Summary Now you will be very familiar with cardiovascular diseases, their development and their diagnosis. You will also know their treatment and many of the cardiovascular disease risk factors – what they are and how they can be influenced positively to minimise cardiovascular diseases. You will understand the overall importance of a balanced diet, regular exercise and weight management (guided by adiposity measurements) throughout life, to maintain cardiac and vascular health. You will also be a 3.2.1 Fats Fats, also known as lipids, are important components of living tissues, and are used by the body for making cell membranes and for storing energy. Fats come in a variety of different biochemical types, which may be obtained from the diet or can be synthesised within the body. Many cells of the body can convert certain types of fat into others, but by preference, fats will be obtained from the diet, if available. The fatty acids that cannot be synthesised by the body and therefore must 2.10.1 Mean and standard deviation for repeated measurements In everyday terms, everybody is familiar with the word ‘average’, but in science and statistics there are actually several different kinds of average used for different purposes. In the kind of situation exemplified by Table 2, the sort to use is the mean
(or more strictly the ‘arithmetic mean’) For a set of measurements, this is de 1 Developing modelling skills The main teaching text of this unit is provided in the workbook below. The answers to the exercises that you'll find throughout the workbook are given in the answer book. You can access it by clicking on the link under the workbook. Click 'View document' to open the workbook (PDF, 0.2 MB). Acknowledgements The content acknowledged below is Proprietary (see terms and conditions) and is used under licence. All materials included in this unit are derived from content originated at the Open University. 5.1 Arithmetic with real numbers At the end of Section 1, we discussed the decimals
4.2 Least upper and greatest lower bounds We have seen that the set [0, 2) has no maximum element. However, [0, 2) has many upper bounds, for example, 2, 3, 3.5 and 157.1. Among all these upper bounds, the number 2 is the least upper bound because any number less than 2 is not an upper bound of [0, 2).
3 Proving inequalities In this section we show you how to prove inequalities of various types. We use the rules for rearranging inequalities given in Section 2, and also other rules which enable us to deduce ‘new inequalities from old’. We met the first such rule in Author(s): 10 Conclusion This unit has introduced you to some aspects of using a scientific or graphics calculator. However, in many ways, it has only scratched the surface. Hopefully your calculator will be your friend throughout your study of mathematics and beyond. Like any friend, you will get to know it better and appreciate its advantages as you become more familiar with it. Don't expect to know everything at the beginning. You may find the instruction booklet, or other help facility, a bit hard going to begin
Activity 6
and asked whether it is possible to add and multiply these numbers to obtain another real number. We now explain how this can be done using the Least Upper Bound Property of Author(s):
