Sampling, Up--Sampling, Down--Sampling, and Multi--Rate
C. Sidney Burrus

Some Rights Reserved

Author(s): No creator set

License information
Related content

European Exploration: The Age of Discovery App for iPad
'Explore the new world as a European power in the 15th Century by funding and sending expeditions out into the unknown. Hire captains, build ships and outfit voyages to learn of the wonders of the new world. Expeditions can be dangerous however, so be careful or else Europe may never hear of your discoveries!This game is made possible with an Enhancing Education Through Technology competitive grant from the Virginia Department of Education.Virginia SOLs TargetedSTANDARD WHII.4aThe student will d
Author(s): No creator set

License information
Related content

Jb0250: Java OOP: Brief Introduction to Exceptions
Richard Baldwin
This module provides a very brief treatment of exception handling. The topic is discussed in detail in the module titled Java OOP: Exception Handling by Richard Baldwin
Author(s):
No creator set

On-boarding for Multi-campus Project Teams
On-boarding for Multi-campus Project Teams: Taking some of the guess work out of building high performing project teams Increasing enrollment demands, resource needs that outpace revenue, pressure to improve efficiencies and increased accountability represent challenges campuses face in today’s dynamic environment. Shared services and multi-campus collaborations are now increasingly viewed as potential creative strategies to address such issues. However, assuming talented individuals from m
Author(s): No creator set

License information
Related content

Albert Camus, Algerian Chronicles
http://www.hup.harvard.edu/catalog.php?isbn=9780674416758 More than 50 years after Algerian independence, ALGERIAN CHRONICLES, with its prescient analysis of the dead end of terrorism, is available in English for the first time. Published in France in 1958--the year the war caused the collapse of the Fourth French Republic--it is one of Albert Camus' most political works: an exploration of his commitment to Algeria, built on questions about violence and counter-violence, national identity, terro
Author(s): No creator set

License information
Related content

The Secret of the Machines by Rudyard Kipling (poetry reading)
We were taken from the ore-bed and the mine, We were melted in the furnace and the pit— We were cast and wrought and hammered to design, We were cut and filed and tooled and gauged to fit. Some water, coal, and oil is all we ask, And a thousandth of an inch to give us play: And now, if you will set us to our task, We will serve you four and twenty hours a day! We can pull and haul and push and lift and drive, We can print and plough and weave and heat and light, We can run a
Author(s): No creator set

License information
Related content

Egyptian Collection at the Pitt Rivers Museum
Colloquia Week 4 HT11: Egyptian Collection at the Pitt Rivers Museum.
Author(s): No creator set

License information
Related content

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.
Author(s): No creator set

License information
Related content

Working with our environment - an introduction
Global warming: are we responsible? Is our environmental impact damaging the planet? This unit examines the use of ozone depleting technology, the impact of fossil fuel use and explores how the development of technology can influence the direction of a society. From the Industrial Revolution to the present day find out how we have changed the planet.Author(s): Creator not set

License information
Related content

Except for third party materials and otherwise stated (see http://www.open.ac.uk/conditions terms and conditions), this content is made available under a http://creativecommons.org/licenses/by-nc-sa/2

Environment: Following the flows
What affects the atmospheric and ocean flows? This unit explores the mechanisms that are important; the most rapid carrier is the wind. The basic principle of global atmospheric circulation is simple: warm air rises and cold air sinks. How does this principle affect the atmosphere and flow of water in practical terms? First publis
Author(s): Creator not set

License information
Related content

Except for third party materials and otherwise stated (see http://www.open.ac.uk/conditions terms and conditions), this content is made available under a http://creativecommons.org/licenses/by-nc-sa/2

Earth's physical resources: petroleum
The discovery of of the world's first major underground oilfield in Pennsylvania, USA in 1859 sparked the continuing era of the world's reliance on cheap energy from oil and gas. This unit begins by examining the geological characteristics of petroleum and the key ingredients necessary to form oil and gas accumulations. Then there is a brief description of industrial operations during the life cycle of an oilfield, starting with subsurface analysis and exploration drilling. The unit also highlig
Author(s): Creator not set

License information
Related content

Except for third party materials and otherwise stated (see http://www.open.ac.uk/conditions terms and conditions), this content is made available under a http://creativecommons.org/licenses/by-nc-sa/2

Acknowledgements

Except for third party materials and otherwise stated (see terms and conditions), this content is made available under a Creative Commons Attribution-NonCommercial-ShareAlike 2.0 Licence

Grateful acknowledgement is made to the following sources for permission to reproduce material in this unit:

Author(s): The Open University

License information
Related content

Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share

An introduction to complex numbers
This unit looks at complex numbers. You will learn how they are defined, examine their geometric representation and then move on to looking at the methods for finding the nth roots of complex numbers and the solutions to simple polynominal equations. First published on Mon, 13 Jun 2011 as Author(s): Creator not set

1.4 Real numbers and their properties

Together, the rational numbers (recurring decimals) and irrational numbers (non-recurring decimals) form the set of real numbers, denoted by .

As with rational numbers, we can determine which of two real numbers is greater by comparing their decimals and noticing the first pair of corresponding digits
Author(s): The Open University

License information
Related content

Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share

1.1 Rational numbers

The set of natural numbers is the set of integers is and the set of rational numbers is Author(s): The Open University

License information
Related content

Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share

8.2.2 The screen

You can see the calculations that you have entered as well as the answers. This means you can easily check whether you have made any mistakes.


Author(s): The Open University

License information
Related content

Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share

7.2 Square roots

Earlier you met the square function and on most calculators the square root is the second function on the same key. Look to see if this is the case for your calculator and check the calculator handbook on how to use this function. In many cases you will need to press the square root key before the number, instead of afterwards, as for the square key. This is the case on the TI-84. Check that you can find the square root of 25 and of 0.49 (you should get 5 and .7 respectively).

Now find
Author(s): The Open University

License information
Related content

Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share

4 Open Mark quiz

Now try the quiz  and see if there are any areas you need to work on.


Author(s): The Open University

License information
Related content

Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share

1.1.1 Try some yourself

1 On the plan of the bathroom in Example 1, what is the width of the window and
Author(s): The Open University

License information
Related content

Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share

Learning outcomes

After studying this unit you should:

  • know some basic definitions and terminology associated with scalars and vectors and how to represent vectors in two dimensions;

  • understand how vectors can be represented in three (or more) dimensions and know both plane polar and Cartesian representations;

  • know ways to operate on and combine vectors.


Author(s): The Open University

License information
Related content

Except for third party materials and/or otherwise stated (see terms and conditions) the content in OpenLearn is released for use under the terms of the Creative Commons Attribution-NonCommercial-Share