@?public

What would the differential be called for $A = \pi r^2$?? $$ \frac{dA}{dr} $$ $$A = \pi r^2 \ \frac{dA}{dr}$$ How would you describe the differential?? The rate of change of area with respect to radius. Can you differentiate $V = \frac{4}{3} \pi r^3$?? $$ \frac{dV}{dr} = 4\pi r^2 $$ $$V = \frac{4}{3} \pi r^3 \ \frac{dV}{dr} = 4\pi r^2$$ How could you explain “the rate of change of volume with respect to radius”?? How much additional volume you gain for a small change in the radius.

See Also [[Further Maths - Series]]S Flashcards What is the requirement of a series for the method of differences to be applicable?? The general term, $u_r$ of a series can be expressed in the form $f(r) - f(r+1)$. If the general term of a series $u_r$ can be expressed as $f(r) - f(r + 1)$, how could you write the series?? $$ \sum^n_{r = 1} (f(r) - f(r + 1)) $$

See Also [[Stats - Binomial Distribution]]S [[Stats - Probability]]S Flashcards What is a random variable?? A variable whose value depends on the outcome of a random event. What is the notation for a random variable?? Capital letters, $X$. What is the notation for the random variable $X$ taking a particular value $x$?? $$ P(X = x) $$ Can you explain $P(X = x) The probability that the outcome of the random variable $X$ was the specific outcome $x$.

See also: [[Computing - Backus-Naur Form]]S [[Computing - Parsing]]S 2021-01-22 What is a syntax diagram?? A graphical equivalent of BNF. What does this represent in a syntax diagram?? A terminal symbol. What does this represent in a syntax diagram?? A non-terminal symbol. What does this represent in a syntax diagram?? A non-terminal symbol that can be used more than once. Can you picture what a non-zero digit would look like in a syntax diagram?

What does a parse tree formed from production rules and an input show?? The categories that make up the input. Backlinks [[Computing - Syllabus]]S [[Computing - Regular Languages]]S [[Computing - Syntax Diagrams]]S Metadata date: 2021-01-22 11:09 tags: - '@?computing' - '@?regular-languages' - '@?public' title: Computing - Parsing

What is Ohm’s Law?? The current through an ohmic conductor is proportional to the potential difference across it when at a constant temperature. What is the symbol formula for resistance?? $$ R = \frac{V}{I} $$ What is the word formula for resistance?? $$ \text{resistance} = \frac{potential difference}{current} $$ What is the formula for potential difference $V$ in terms of resistance $R$ and current $I$?? $$ V = IR $$ What is the formula for current $I$ in terms of resistance $R$ and potential difference $V$?

What is Backus-Naur Form?? A formal notation used to describe the syntax rules of a language. What type of languages can’t be expressed by a regular expression?? Context-free languages. What does ::= mean in BNF?? Is defined as. What does | mean in BNF?? Or. What does <> mean in BNF?? Specifys a category. What do two symbols side by side mean in BNF?? That one symbol must follow the other. What is a terminal symbol in BNF?

2021-01-18 What does “potential energy” mean?? The potential to do work. How does a stretched elastic band have the potential to do work?? When it is released it will move. What is potential difference?? The energy transfered per unit charge from electrical energy to another form of energy. When used to measure a component, what does potential difference measure?? The difference in energy in the charge carriers before and after going through the component. What does EMF stand for?

Is Reverse Polish Notation prefix, infix or postfix?? Postfix. What’s another name for Reverse Polish Notation?? Postfix notation. What is Reverse Polish Notation?? A notation for maths where the operator comes after the operands. Why is Reverse Polish Notation used?? Because it means evaluation can be done using a stack. What does RPN eliminate the need for?? Brackets. $$8 \times 7 + 6 \div 3 ^ 2$$ What does this look like with brackets showing the order of operations?

2021-01-14 What is the word explanation for the scalar/dot produt of two vectors?? The sum of the products of the components. What’s the notation for the dot product of $\pmb{a}$ and $\pmb{b}$?? $$ \pmb{a} \cdot \pmb{b} $$ What’s the sum formula for $\pmb{a} \cdot \pmb{b}$?? $$ \sum \pmb{a}_i \pmb{b}_i $$ $$ \left(\begin{matrix} 2 \ 2 \ 2 \end{matrix}\right) \cdot \left(\begin{matrix} 1 \ 2 \ 3 \end{matrix}\right) $$ What is the dot product of the two vectors?

2021-01-14 What is the general vector equation of a plane?? $$ \pmb{r} = \pmb{a} = \lambda\pmb{b} + \mu\pmb{c} $$ $$\pmb{r} = \pmb{a} = \lambda\pmb{b} + \mu\pmb{c}$$ What must be true about the two directional vectors $\pmb{b}$ and $\pmb{c}$?? They are not parallel to one another. What equation does this photo represent?? $$ \pmb{r} = \pmb{a} = \lambda\pmb{b} + \mu\pmb{c} $$ $$ \left(\begin{matrix} 3+2\lambda+\mu \ 4+\lambda-\mu \ -2+\lambda+2\mu \end{matrix}\right) = \left(\begin{matrix} 2 \ 2 \ -1 \end{matrix}\right)$$ How could you rewrite this?

What two parts does a Turing machine consist of?? A tape that can be read and write A controller that determines what happens at each cell How long is the tape in a Turing machine?? Infinitely long. What are the three states of a cell on some tape in a Turing machine?? $1$, $0$ or blank. In a Turing machine, what moves along the tape?? A read-write head. What state must a Turing machine have?