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What does this symbol represent in FSM?? A state. What does this symbol represent in FSM?? The start state. What does this symbol represnt in FSM?? The end or accept state. What does this symbol represent in FSM?? A transition. What does the language recognised by a FSM consist of?? All string accepted by the finite state machine. What is a finite state machine?? An abstract model of computation that is used to model logic.

What is the general technique for proving a statement about matricies using induction?? Multiplying out the matrix for $k+1$ and showing that it’s the same as substituting $k = k+1$ into the normal $k$ matrix. How could you rewrite $M^{k+1}$?? $$ M^k M $$ Backlinks [[Further Maths - Syllabus]]S Metadata date: 2021-01-05 12:26 tags: - '@?further-maths' - '@?induction' - '@?public' title: Further Maths - Induction for Matricies

If you add a multiple of $4$ to something already divisible by $4$, what must be true about the answer?? It is also divisible by 4. What is the two-step general technique used to show divisibility in induction?? Assume $f(k)$ is divisible Show the difference between $f(k)$ and $f(k+1)$ is divisible. How would you write the difference between $f(k)$ and $f(k+1)$?? $$ f(k+1) - f(k) $$ If $$f(k + 1) - f(k) = 4\times 3^{2k}$$, what other statement could you write that shows clearly $f(k+1)$ is divisible by $4$?

This links heavily to [[Physics - Force and Newtons]]S . What is a force diagram?? A diagram showing all the forces acting on an object. What should you draw whenever you have a problem involving forces in Mechanics?? A force diagram. What does the force diagram look fora block of weight $W$ being pulled by a force P on a rough horizontal plane?? How would this diagram change if it was a smooth plane?? In $\hat{i}$ and $\hat{j}$ notation, what is the value of a resultant force for an object in equilbrium?

What is the Planning Fallacy?? The tendency to underestimate the amount of time it will take to complete a task. Why does the Planning Fallacy occur?? We tend to be over optimistic and think that things will go exactly to plan. What is the “inside view” for the Planning Fallacy?? Visualising a task by thinking of the steps form the beginning to a successful conclusion. What is the “outside view” for the Planning Fallacy?? Comparing a task to broadly similar tasks in the past.

What does the Efficient-market hypothesis state?? Asset prices reflect all available information. What is the implication of the Efficient-market hypothesis?? You shouldn’t expect to beat the market without a unique edge, except by chance. How did Warren Buffet beat the market?? By running simple formulas over stock prices. Why can you no longer use Warren Buffet’s method for beating the market?? The market became more efficient as everyone became aware of the edge. References Kindly Stop Saying the Efficient Market Hypothesis is Dead, The Deep Dish Backlinks [[Misc Notes]]N Metadata date: 2020-12-28 14:53 tags: - '@?

The majority of the writing in here is not mine. It’s based on this LessWrong post called 100 Tips for a Better Life. Turns out that the original post is itself based on another post, 100 Ways to Live Better. 100 Tips for a Better Life Possessions 1 .If you want to find out about people’s opinions on a product, google reddit. You’ll get real people arguing, as compared to the SEO’d Google results.

Flashcards 2020-12-10 What do you call data with two variables?? Bivariate data. What is bivariate data?? Data with two variables. What is correlation?? A measure of the strength and type of a relationship between two variables. What type of correlation is this?? Strong positive correlation. What type of correlation is this?? Weak positive correlation. What type of correlation is this?? Strong negative correlation. What type of correlation is this?? Weak negative correlation. What type of correlation is this?

What is $$\sum^{1}_{r = 1} r$$?? $$ 1 $$ What do you get if you substitute $k = 1$ for $\frac{1}{2}k{k+1}$?? $$ 1 $$ How could you write out the sum that is being done for $$\sum^{k}_{r = 1} r$$?? $$ 1 + 2 + 3 + … + (k - 1) + k $$ How could you write out the sum that is being done for $$\sum^{k + 1}_{r = 1} r$$?? $$ 1 + 2 + 3 + … + k + (k + 1) $$

See also: [[Further Maths - Induction for Series]]S [[Further Maths - Induction for Divisibility]]S What is induction?? A proof technique that shows a statement is true for natural numbers. How could you use induction to prove you can climb as high as you like on a ladder?? You can climb onto the bottom rung You can climb onto the next rung What are the 4 steps for induction?

What is a class?? A blueprint or template for a type of object. What are the data of an object called?? Attributes. What are the operations that you can perform on object called?? Methods. What is instantiation?? Creating an object from a class. What is the concept of encapsulation?? Attributes and methods are wrapped into a single entity. What is inheritance?? Where subclasses use attributes and methods of it’s superclass. What is the Python syntax for initialising the superclass?

2021-01-13 What’s another way of thinking about $a^{\frac{3}{2}}$?? $$ a\sqrt{a} $$ Backlinks [[Maths - Syllabus]]S Metadata date: 2020-12-07 15:03 tags: - '@?public' - '@?maths' title: Maths - Indicies