Examples of surfaces without boundary are a sphere and a torus. Other examples are the following:

n-fold toruses

Figure 13 depicts a 2-fold torus and a 3-fold torus, with two and three rings respectively. An n-fold torus, for any positive integer n has n rings. (A
Author(s): The Open University

Thomas Burns Memorial Lectures 2016: Professor Choon-Leong Seow - The Story of Job: A contested clas
The Department of Theology and Religion presents lecture three of the 2016 Thomas Burns Memorial Lecture series. Given by Professor Choon-Leong Seow, Vanderbilt Divinity School, this presentation covers the topic 'Job as a Contested Classic'. 2 August 2016
Author(s): No creator set

You have seen that the complex number x + iy corresponds to the point (x, y) in the complex plane. This correspondence enables us to give an alternative description of complex numbers, using so-called polar form. This form is particularly useful when we discuss properties related to multiplication and division of complex numbers.

Author(s): The Open University

Actualiteitsopdracht i.v.m. pesten. De opdracht is opgebouwd rond een krantenartikel. De leerlingen lossen zelfstandig de opdrachten op. De hele taak is opgebouwd volgens de OVUR-strategie. De volgende opdrachten komen aan bod:

Author(s): No creator set

History of Thanksgiving
This video discussed the history of Thanksgiving when the pilgrims celebrated by having food to eat, and giving thanks to the Indians that helped them make it through their first winter in this new land they now call home. This could be a helpful resource to use in conjunction with non-fiction texts on holidays in the middle school classroom. (2:39)

Author(s): No creator set

There is a difference between supplying deaf students with a simple transcript of an interview, which is a straightforward translation between formats, and providing blind students with an alternative to a visual image. In some cases, a transcript may require an academic decision about whether to transcribe every â€˜umâ€™ and â€˜erâ€™ or background noise. Decisions about alternative academic content need to be taken by the author of a resource, or someone with the same understanding of the in
Author(s): The Open University

The results of the visual attention experiments we have considered can be interpreted as follows.

• Attention can be directed selectively towards different areas of the visual field, without the need to re-focus.

• The inability to report much detail from brief, masked visual displays appears to be linked to the need to assemble the various information components.

• The visual information is captured in parallel, but assemb
Author(s): The Open University

15.099 Readings in Optimization (MIT)
In keeping with the tradition of the last twenty-some years, the Readings in Optimization seminar will focus on an advanced topic of interest to a portion of the MIT optimization community: randomized methods for deterministic optimization. In contrast to conventional optimization algorithms whose iterates are computed and analyzed deterministically, randomized methods rely on stochastic processes and random number/vector generation as part of the algorithm and/or its analysis. In the seminar, w
Author(s): Freund, Robert

'Science owes more to the steam engine than the steam engine owes to Science.'

L.J. Henderson (1917)

From the time of Newton until the end of the nineteenth century the development of physics consisted essentially of the refinement and extension of the mechanical view of the Universe. There were many stages in this process but one of the most interesting came towards its end with the realis
Author(s): The Open University

This unit draws attention to the value of a sociocultural understanding of spoken language in the processes of teaching and learning. It focuses upon how language can be used for persuasion, control and argument, and how dialogue can act as an aid to development. Along with some background reading and activities this unit offers opportunities for the evaluation of some selected classroom talk.

This material is from our archive and is an adapted extract from Language and literacy in a
Author(s): The Open University

2.3 2.3 Diversity within states

There is no simple or necessary correspondence between types of region and types of regionalism. But clearly-demarcated and long-established regions are a more likely basis for strong regionalist or nationalist movements, while top-down regionalisation often results in regions with little popular identity or awareness of the region by its own inhabitants. Pre-existing regional diversity provides an uneven basis for regionalising a whole state. For example, regionalising the UK is relatively e
Author(s): The Open University

3.7 Aftermath

In the immediate aftermath of the disaster, it was vital to prevent any further collapses, especially on bridges of similar design. Two other bridges were built to a design similar to that of the Silver Bridge, one upstream at St Mary's, West Virginia and the other in Brazil at Florianopolis. The bridge upstream on the Ohio river, at St Mary's, was the focus of concern, and it was closed to traffic immediately after the disaster. The eye-bar design was actually quite widespread in other bridg
Author(s): The Open University

Bach - Brandenburg Concertos No.5 - iii: Allegro
This is a live video of the Freiburg Baroque Orchestra playing Bach's "Brandenburg Concertos No.5 - iii: Allegro" in some sort of majestic hall. Period insturments are used. (4:42)
Author(s): No creator set

Multiband Compression - Part 6 of 7 - Composing and Producing Electronic Music
Download Loudon's Session Files for Free at: http://bit.ly/HPCEBG Part 6: Multiband Compression: Using IZotope Ozone's Multiband Dynamics Plugin In this seven-part music production clinic, Professor Loudon Stearns goes in-depth into Dubstep and electro synth textures, featuring Native Instrument's Massive and Maschine, iZotope Ozone, and more. Loudon Stearns is the Course Author and Instructor of Berkleemusic's online course Composing and Producing Electronic Music. In this course you can lea
Author(s): No creator set

Hare Krishna - Distinctions
This last part of the interview to Mr Dasa refers to the image of God. He explains the importance of the statue images. He also refers to Jesus as an spiritual leader.
Author(s): No creator set

Posterior Fossa Tumor - Cranial Nerves Exam - Spinal Accessory (CN XI) Sub-exam - Patient 9
Patient is a 58-year-old white male with a history of acoustic neuroma that was resected in 1990. He has residual cranial nerve palsies on the right side and experiences tremors, ataxia and disequilibrium. His wife reports that she has noticed an increase in right hand tremor for the past year or so. The tremor worsens as the day progresses and occurs with activity. Patient reports an increase in balance problems while standing over the past 4 months. He has noticed that he staggers a step or t
Author(s): No creator set

Exploring the medicine experiences and needs of patients who are underserved
This e-learning resource has been co-produced with patients who belong to one or more under-served group. By listening to these individuals, it is intended that we can better understand their day-to-day circumstance and so better develop a sense of empathy with them. This will help encourage us to be consciously aware of individuals who are potentially most in need of support.
Author(s): Creator not set

Conclusion

This free course provided an introduction to studying Mathematics. It took you through a series of exercises designed to develop your approach to study and learning at a distance and helped to improve your confidence as an independent learner.

Author(s): The Open University

Learning outcomes

After studying this unit you should be able:

• read Social Science materials critically and effectively.

Author(s): The Open University

3.1 Introduction

Precedent is the basis of the common law. The doctrine of binding precedent is known as the doctrine of stare decisis, which is Latin meaning â€˜to stand by/adhere to decided casesâ€™, i.e. to follow precedent. In other words, once a principle is decided it should be followed in future cases. The doctrine refers to the fact that, within the hierarchical structure of the English courts, the decision of a higher court will be binding on a lower court. In general terms, this means that wh
Author(s): The Open University