7 - The Bourne Academy
... Reflect simple shapes in a given mirror line (including diagonals) on a set of axes Rotate a simple shape given an angle, centre and direction on axes Enlarge simple shapes with integer positive scale factors on a set of axes, centre of enlargement the origin Translate a simple shape given wordy ins ...
... Reflect simple shapes in a given mirror line (including diagonals) on a set of axes Rotate a simple shape given an angle, centre and direction on axes Enlarge simple shapes with integer positive scale factors on a set of axes, centre of enlargement the origin Translate a simple shape given wordy ins ...
The M 6.3 Christchurch, New Zealand, Earthquake of February 22
... Brighton areas of eastern Christchurch failed. Over 50% of all 66 kV cables at multiple locations were damaged by liquefaction-induced ground movement. The water distribution network in Lyttelton and Harwood had been replaced with high-density polyeth4 ...
... Brighton areas of eastern Christchurch failed. Over 50% of all 66 kV cables at multiple locations were damaged by liquefaction-induced ground movement. The water distribution network in Lyttelton and Harwood had been replaced with high-density polyeth4 ...
basic counting
... Inclusion and Exclusion: Example 2 • An equivalent question comes from a purely mathematical setting: Recall that a permutation is a bijection f:[n]→[n], where n is a nonnegative integer. If f is a permutation and f(i)=i, then i is a fixed point of the permutation and we say that f fixes i.. For in ...
... Inclusion and Exclusion: Example 2 • An equivalent question comes from a purely mathematical setting: Recall that a permutation is a bijection f:[n]→[n], where n is a nonnegative integer. If f is a permutation and f(i)=i, then i is a fixed point of the permutation and we say that f fixes i.. For in ...
UNIT 11.4: Pascal`s Triangle
... “random walks” that begin at START and proceed downward according to the following rule. At each circle (branch point), a coin is tossed. If it lands heads, we go downward to the left. If it lands tails, we go downward to the right. At each point, left and right are equally likely. In each circle we ...
... “random walks” that begin at START and proceed downward according to the following rule. At each circle (branch point), a coin is tossed. If it lands heads, we go downward to the left. If it lands tails, we go downward to the right. At each point, left and right are equally likely. In each circle we ...
Mathematics and architecture
Mathematics and architecture are related, since, as with other arts, architects use mathematics to shape and sometimes to decorate buildings.In ancient Greece, buildings were laid out with specific proportions. In Islamic architecture, geometric shapes and geometric tiling patterns are used. The pyramids of ancient Egypt have mathematical proportions. Hindu temples have a fractal-like structure where parts resemble the whole.In Renaissance architecture, symmetry and proportion were deliberately emphasized.In the twentieth century, styles such as modern architecture and Deconstructivism explored different geometries to achieve desired effects.