Bringing Windows Azure Services to the Private Cloud with Ryan Jones | Web Camps TV Join your guides Brady Gaster and Cory Fowler as they talk to the product teams in Redmond as well as the web community. This week Brady and Cory are joined by Ryan Jones from the Windows Azure Web Sites team. Ryan is the PM for Windows Azure Services for Windows Server a new o
[HTML] Hello World
This is a quick tutorial in Html basics for creating your first Hello world page. It goes through a series of steps that appear on the screen. The audio is difficult to hear. The audio must be turned up and the screen enlarged in order for students to watch. (06:22)
1.4 Grades and clades If species are grouped together because they show a similar extent of accumulated anagenetic change with respect to their ancestors, then the taxa so formed constitute grades. In Figure 1, morphological change is represented along the horizontal axis. The three columns show grades of anagenetic modification, with pa
2.4 Staying warm … In this section, you will meet the term ‘thermal conductivity’ and you will be asked to accept that it is ‘a measure of how readily heat flows from a particular material’. You may be uncomfortable about the lack of detailed explanation of how it is measured and of actual values and units. However, at al 5.1 Molecular reactivity is concentrated at key sites Reactivity is not spread evenly over a molecule; it tends to be concentrated at particular sites. The consequences of this idea are apparent in the chemistry of many elements. However, in organic chemistry, the idea has proved so valuable that it receives specific recognition through the concept of the functional group. Structure 6.1 shows the abbreviated structural formula of hexan-1-ol, an alcohol. 4.5.4 Resonance structures Gaseous oxygen occurs as O2 molecules. But ultraviolet light or an electric discharge converts some of the oxygen to ozone (Box 6). This has the molecular formula O3. Many people know that gaseous ozone in the stratosphere protects us from harmful sola Introduction This unit lays the foundations of the subject of mechanics. Mechanics is concerned with how and why objects stay put, and how and why they move. In particular, this unit – Modelling static problems – considers why objects stay put.
Please note that this unit assumes you have a good working knowledge of vectors. This is an adapted extract from the Open University course Author(s): 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. Introduction This unit introduces the topic of vectors. The subject is developed without assuming you have come across it before, but the unit assumes that you have previously had a basic grounding in algebra and trigonometry, and how to use Cartesian coordinates for specifying a point in a plane. This is an adapted extract from the Open University course Mathematical methods and models (MST209) Introduction This unit shows how partial differential equations can be used to model phenomena such as waves and heat transfer. The prerequisite requirements to gain full advantage from this unit are an understanding of ordinary differential equations and basic familiarity with partial differential equations. This unit is an adapted extract from the course Mathematical methods and models (MST209 1 First-order differential equations 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, 1.6 MB). Acknowledgements All materials included in this unit are derived from content originated at the Open University. 1.5 Exercises A vector a has magnitude
|a|Â =Â 7 and direction
θ = −70°.
Calculate the component form of a, giving the components
correct to two decimal places. 1.4.2 Displacements and bearings The displacement from a point P to a point
Q is the change of position between the two points, as
described by the displacement vector
If P and Q represent places on the
ground, then it is natural to use a bearing to describe the
direct 1.4.1 Bearings In the following subsections, we apply the vector ideas
introduced so far to displacements and velocities. The
examples will feature directions referred to points of the compass,
known as bearings. The direction of Leeds relative to Bristol can be described
as ‘15° to the East of due North’,
or N 15° E. This is an instance of a
bearing. Directions on the ground are typically given like
this, in terms of the directions North (N),
South (S), East (E) 1.3: Summing vectors given in geometric form The following activity illustrates how the conversion
processes outlined in the preceding sections may come in useful. If
two vectors are given in geometric form, and their sum is sought in
the same form, one approach is to convert each of the vectors into
component form, add their corresponding components, and then convert
the sum back to geometric form. 1.2: Converting to geometric form You have seen how any vector given in geometric form, in
terms of magnitude and direction, can be written in component form.
You will now see how conversion in the opposite sense may be
achieved, starting from component form. In other words, given a
vector
a = a
1
i + a
2
j,
what are its magnitude |a| and direction θ? The first part of this question is dealt with using
Pythagoras’ Theorem: the magnitude of a v 1.1: Converting to component form In some applications of vectors there is a need to move
backwards and forwards between geometric form and component form; we
deal here with how to achieve this. To start with, we recall definitions of cosine and sine. If
P is a point on the unit circle, and the line segment
OP makes an angle θ measured anticlockwise
from the positive x-axis, then
cos θ is the x-coordinate of
P and sin θ is the
y-coordinate of P ( Introduction In this unit you will see first how to convert vectors from geometric form, in terms of a magnitude and direction, to component form, and then how conversion in the opposite sense is accomplished. The ability to convert between these different forms of a vector is useful in certain problems involving displacement and velocity, as shown in Section 2, in which you will also work with bearings. This unit is an adapted extract from the Open University course
Box 6: Ozone is blue
Exercise 1
