2.3.7 Two-fold torus As the polygons become more complicated, so the identifications become more difficult to visualise. For example, what happens if we try to identify the edges of an octagon in pairs, as indicated by the edge labels and arrowheads in Figure 34? Author(s):
2.3.5 Projective plane The final surface that can be obtained by identifying edges of a rectangle is even more complicated. Again it cannot be constructed in three dimensions, so is not a surface in space and is hard to visualise. This time we identify both pairs of opposite edges of the rectangle in opposite directions, as indicated by the arrowheads in Author(s):
2.2.4 Boundary numbers In a surface with boundary, the boundary may consist of more than one piece. For example, the boundary of a cylinder, or of a torus with two holes, consists of two pieces, as shown in Figure 23. 2.2.3 Surfaces with boundary Examples of surfaces with boundary are a cylinder and a Möbius band. Other examples are the following:
Surfaces with holes
We can obtain a surface with boundary by taking any surface without boundary and punching some holes in it by removing open discs. For example, Figure 19 shows a sphere with 3 Studying mammals: The insect hunters Understanding the environment: Flows and feedback Studying Darwin Design Products, services and branding What do we mean by "family"? More working with charts, graphs and tables "DMC Upside": GIS Day "DMC Upside:" Project Del Mar Fall 2012 Topic 5: Income Taxation and Labor Supply part 1 | Economics 2450A: Public Economics Systems Thinking 3XSQ: Apple moves in a new direction Happy Holidays to Accepted Freshmen Earthquake and Fault line Model Sequences and their properties - examples Catholic Mass - 1/6/2012 (Epiphany)
Author(s):
From pygmy shrews to armadillos, a wide range of mammals survive on a diet made up largely of insects. Many of these have fascinating adaptations suited to catching or rooting out their prey. In this unit you will learn about these adaptations, along with survival strategies for when food is scarce. This is the second unit in the ‘Studying mammals’ series.Author(s):
There is increasing recognition that the reductionist mindset that is currently dominating society, rooted in unlimited economic growth unperceptive to its social and environmental impact, cannot resolve the converging environmental, social and economic crises we now face. The primary aim of this unit is to encourage the shift away from reductionist and human centred thinking towards a holistic and ecological worldview.Author(s):
This unit brings together a collection of units from the OpenLearn site that would be of interest to anyone wishing to study Darwin’s theory of evolution and natural selection and how his work has gone on to influence other work around this theory. First published on Tue, 04 Dec 2012 as Author(s):
This unit looks at the process of design – from assessing the complexity of design as an activity, to exposing the difficulty in making general conclusions about how designers work. You will be able to identify innovation in a wide variety of designed objects and evaluate the impact of this innovation. First published on Wed, 27
In this unit you will find out about how organisations manage their products and services. This will include learning about how new products are developed and how the existing portfolio of offerings is managed. The particular characteristics of service products will be explained so that you can understand the impact that these features have on how services are managed.Author(s):
The idea of ‘family’ is very powerful in contemporary UK culture and policy. Family lives have been the subject of many anxieties both at the personal and policy levels. How do public debates relate to people’s everyday experiences of families? In this unit, you can explore the many attempts at defining ‘family’ and why these complex and contradictory meanings are important to us. We begin to unpick questions of power and inequality, to test our everyday assumptions about families, and
Your course might not include any maths or technical content but, at some point during your studies, it’s likely that you’ll come across information represented in charts, graphs and tables. You’ll be expected to know how to interpret this information, and possibly encouraged to present your own findings in this way. This unit will help you to develop the skills you need to do this, and gain the confidence to use them. This unit can be used in conjunction with, and builds on the ‘Working
Del Mar College, Texas A&M University-Corpus Christi, Texas A&M University-Kingsville and the National Geospatial Technology Center of Excellence at Del Mar College hosted "Discovering the World Through GIS" on Nov. 15, 2012. The local event is part of the National Geographic Society's Geography Awareness Week (Nov. 12-18), which includes GIS Day.
This segment of the "DMC Upside" television program was featured in the December 2012 edition, which airs on cable channel 19 in Corpus Christi. The
Fifteen Del Mar College students in the Drama program's make-up class put into practice the skills and techniques they've learned during the fall 2012 semester and presented their best work as part of Project Del Mar's "The Phenomenal Land of Fantastical Fantasies."
This segment of the "DMC Upside" television program was featured in the December 2012 edition, which airs on cable channel 19 in Corpus Christi. The "DMC Upside" is produced by DMC TV.
Raj Chetty
Fall 2012
Linda Vanasupa
This set of learning materials is aimed at explaining and fostering the discipline of systems thinking.
Some Rights Reserved
Dec. 13 - The Google Maps app will be compatible with any iPhone or iPod Touch that runs iOS 5.1 or higher, the company said in a blog post.
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Caro Begg demonstrates how to make a simple mechanical model to simulate faults, earthquakes and aftershocks. For primary or intermediate level. (03:40)
This video shows some examples of sequences of real numbers and describes their properties.
Duke Catholic Center
Fr. Matthew Monnig, SJ, celebrant
http://catholic.duke.edu
Solemnity of the Epiphany of the Lord, 9pm
Homily begins @ 22:21
Scripture:
First Reading: Isaiah 60:1-6
Psalm 72: Lord, Every Nation on Earth Will Adore You (72)
Second Reading: Ephesians 3:2-3a,5-6
Gospel: Matthew 2:1-12
Hymns (from the Gather hymnal, ©1994):
Prelude: Of the Father's Love Begotten (351)
Processional Hymn: We Three Kings(373)
Offertory Hymn: What Child Is This (382)
Communion Hymn: Bread For t
