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Why is it better to shade what you DON’T want when finding a region?? Because the bit you want will be clear at the end. When is a vertex of a region included?? If both intersecting lines are included by the region. Backlinks [[Maths - Syllabus]]S [[Maths - Inequalities]]S Metadata date: 2020-11-11 17:51 tags: - '@?year-1' - '@?public' - '@?school' - '@?maths' title: Maths - Regions

What is a vector an example of?? An Abstract Data Type What set do all $2$-d vectors come from?? $$ \mathbb{R}^2 $$ What set do all $3$-d vectors come from?? $$ \mathbb{R}^3 $$ What’s an example of where a $2$-d vector could be used?? To describe a path. What does the notation $S \to \mathbb{R}$ mean?? $S$ maps to $\mathbb{R}$. What is the notation $0 \to 1.5$ mean in terms of vectors?? $0$ maps to $1.

See also: [[Physics - Archimedes' Principle]]S What is the word formula for pressure?? $$ \text{pressure} = \frac{\text{force}}{\text{area}} $$ What are the units of pressure?? pascals, $\text{Pa}$ What is one Pascal equal to?? $1Nm^{-2}$, one Newton per square metre. What is atmospheric pressure approximately equal to?? $$ 1\times10^{5} Pa $$ What is the symbol formula for pressure?? $$ P = \frac{F}{A} $$ What is a fluid?? A gas or a liquid. What is the symbol formula for the pressure in a fluid?

Degrees What is $\sin 0^{\circ}$?? $$ 0 $$ What is $\sin 30^{\circ}$?? $$ \frac{1}{2} $$ What is $\sin 45^{\circ}$?? $$ \frac{\sqrt{2}}{2} $$ What is $\sin 60^{\circ}$?? $$ \frac{\sqrt{3}}{2} $$ What is $\sin 90^{\circ}$?? $$ 1 $$ What is $\cos 0^{\circ}$?? $$ 1 $$ What is $\cos 30^{\circ}$?? $$ \frac{\sqrt{3}}{2} $$ What is $\cos 45^{\circ}$?? $$ \frac{\sqrt{2}}{2} $$ What is $\cos 60^{\circ}$?? $$ \frac{1}{2} $$ What is $\cos 90^{\circ}$?? $$ 0 $$ What is $\tan 0^{\circ}$?? $$ 0 $$

What is a tree?? A connected, undirected graph with no cycles. What is a binary tree?? A rooted tree where each node has at most two children. What type of data type is a tree?? An Abstract Data Type. What three terms are used for both actual trees and computer science trees?? Root, branches and leaves. What is the definition of the root of a tree?? The only node that doesn’t have a parent node.

What is the name for $|z|$?? The modulus of $z$. What is the value of $|z|$, where $z = a + bi$?? $$ \sqrt{a^2 + b^2} $$ What is the value of $|z|^2$, where $z = a + bi$?? $$ a^2 + b^2 $$ If $|z|^2 = a^2 + b^2$, how could you also write $|z|^2$?? $$ (a + bi)(a - bi) $$ What is the word definition of the modulus of $z$?? The distance to $z$ from the origin.

In summary, what is a graph?? An abstract data type representing complex relationships. What is an undirected graph?? A graph where the edges don’t specify a direction. What does an edge represent in a graph?? A relationship between two nodes. What is an edge weight?? A numerical value associated with an edge. What does an edge weight commonly represent on a graph representing a map?? The distances between two places. What is a directed graph?? A graph where relationships can point one way only.

See also [[Maths - Set Notation for Inequalities]]S , [[Maths - Regions]]S . What affect does multiplying or dividing an inequality by a positive number have on the symbol?? The symbol is unchanged. What affect does multiplying or dividing an inequality by a negative number have on the symbol?? The symbol flips, so $> \to <$ and vice versa. If you have something such as $\frac{6}{x} > 2$, what should you multiply both sides by?? $$ x^2 $$

What is an outlier?? An extreme value. What is an outlier which is not correct called?? An anomaly. What is the process of removing anomalies called?? Cleaning the data. What does $\ll$ mean?? Much less than. What does $\gg$ mean?? Much greater than. What is the typical definition of an outlier?? Any value that is over $1.5$ the interquartile range away from the upper or lower quartile. Should you add an outlier to a box plot?

What is the main advantage of a hash table?? You can quickly find items given a key. A hash table is a type of what data type?? An Abstract Data Type. How is an element’s key calculated?? Using a hash function. A key-value hash table is sometimes called what?? A hash map. What is a hashing algorithm?? A calculation applied to a key to transform it into an address. What is it called when a hash function generates the same value for two different inputs?

What does the set ${x \colon x < 6.5}$ describe?? All numbers that are less than $6.5$. What does the set ${x \colon x > -2}$ describe?? All numbers that are greater than $-2$. How could you write the set for all numbers less than or equal to $5$?? $$ { x \colon x \le 5 } $$ How could you describe $-2 \le x < 6.5$ as one set?? $$ { x \colon -2 \le x < 6.

What is the symbol formula for density?? $$ \rho = \frac{m}{V} $$ What is the symbol for density?? $$ \rho $$ Backlinks [[Physics - Syllabus]]S Metadata date: 2020-10-24 13:24 tags: - '@?school' - '@?physics' - '@?year-1' - '@?public' title: Physics - Density