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See Also [[Physics - Quantum Physics]]S [[Physics - The Photoelectric Effect]]S Flashcards What is the equation for the energy of a photon in terms of frequency?? $$ E = hf $$ What is the equation for the energy of a photon in terms of wavelength?? $$ E = \frac{hc}{\lambda} $$ What is the approximate value of $h$, Plank’s constant?? $$ 6.63 \times 10^{-34} $$ What unit is commonly used for the energy on a photon?

See Also [[Physics - Electromagnetic Radiation]]S [[Physics - The Photoelectric Effect]]S Flashcards Why is it called “quantum” physics?? Because energy exists in “quanta” or “packets”. Backlinks [[Physics - Electromagnetic Radiation]]S [[Physics - The Photoelectric Effect]]S [[Physics - Syllabus]]S [[Physics - Wave-Particle Duality]]S Metadata date: 2021-05-24 15:36 tags: - '@?school' - '@?public' - '@?physics' - '@?quantum' - '@?year-1' title: Physics - Quantum Physics

See Also [[Maths - Integration]]S [[Maths - Integration by Substitution]]S [[Further Maths - Integrating and Differentiating Inverse Trig Functions]]S Flashcards $$\int u \frac{dv}{dx} dx$$ How can you rewrite this?? $$ uv - \int v \frac{du}{dx} $$ What table of $4$ variables should you create when doing integration by parts?/ $$ u, v, \frac{du}{dx}, \frac{dv}{dx} $$ $$\int x e^x dx$$ What are the variables you’d use for integration by parts?

See Also [[Physics - Internal Resistance]]S [[Physics - Voltage and Potential Difference]]S Flashcards If the resistance of $R_1$ is twice that of $R_2$, how much more of the total potential difference does $R_1$ get?? Twice as much. What is the potential divider equation?? $$ V_{\text{out}} = V_{\text{in}} \times \frac{R_1}{R_1 + R_2} $$ Backlinks [[Physics - Syllabus]]S Metadata date: 2021-05-05 15:53 tags: - '@?physics' - '@?

See Also [[Further Maths - Mean Value of a Function]]S [[Further Maths - Improper Integrals]]S [[Further Maths - Hyperbolic Functions]]S Flashcards $$\frac{d}{dx}(\sin^{-1}(x))$$ What is this equal to?? $$ \frac{1}{\sqrt{1 - x^2}} $$ $$\frac{d}{dx}(\cos^{-1}(x))$$ What is this equal to?? $$ -\frac{1}{\sqrt{1 - x^2}} $$ $$\frac{d}{dx}(\tan^{-1}(x))$$ What is this equal to?? $$ \frac{1}{1 + x^2} $$ $$\int \frac{1}{\sqrt{1-x^2}} dx$$ What is this equal to?? $$ \sin^{-1}(x) + c $$

See Also [[Computing - Turing Machines]]S Flashcards What is an insoluble problem?? A problem that is impossible to solve. What are the time complexities for a tractable problem?? Polynomial time, e.g. $O(n^2)$ or $O(n^3)$ What is an intractable problem?? A problem where the computational demands grow so quickly that it’s impossible to solve non-theoretically. What sort of time complexities does an intractable problem have?? Exponential. Backlinks [[Computing - Syllabus]]S Metadata date: 2021-04-28 10:20 tags: - '@?

See Also Flashcards What does Dijkstra’s algorithm find?? The shortest path from every node to a goal node. What are the three columns of the table that get filled in for Dijkstra’s algorithm?? Vertex, shortest distance, previous vertex What is shortest distance to the goal node from the goal node when running Dijkstra’s algorithm?? $$ 0 $$ What is the shortest distance to the goal node from any node but the goal node at the start of Dijkstra’s algorithm?

See Also [[Maths - Integration]]S [[Maths - Integration by Substitution]]S Flashcards What two things mean an integral is improper?? One or both of its limits are infinite It is undefined anywhere in $[a, b]$. What do you call an improper integral that exists (has a defined value)?? Convergent. What do you call an improper integral that does not exist?? Divergent. $$\int^\inft_0 e^{-x} dx$$ What would you write instead to see if it has a defined value?

See Also [[Maths - Integration]]S [[Maths - Integration by Substitution]]S Flashcards What do you divide the definite integral between $[a,b]$ in order to find the mean value?? $$ b - a $$ Backlinks [[Further Maths - Integrating and Differentiating Inverse Trig Functions]]S [[Further Maths - Syllabus]]S Metadata date: 2021-04-27 16:20 tags: - '@?further-maths' - '@?school' - '@?public' - '@?methods-in-calculus' title: Further Maths - Mean Value of a Function

See Also [[Physics - Resistance and Ohm's Law]]S [[Physics - Voltage and Potential Difference]]S Flashcards If $E$ is the E.M.F. of a battery and $V$ is the terminal voltage, what is the formula for “lost volts”?? $$ Ir = E - IR $$ Why are there “lost volts” in a battery?? Because the battery has some internal resistance. Why do the lights on old-fashioned cars blink out when you start the engine?

See Also [[Computing - Recursion]]S Flashcards What are the three rules of recursion?? Base condition The function calls itself Finite amount of runs What is the main disadvantage of recursion?? It uses a lot of memory on the stack. Metadata date: 2021-04-19 16:07 tags: - '@?computing' - '@?school' - '@?public' title: Computing - Recursion

In which we connect the computer to the raw, unwashed world. Notes Can create a sensor model $P(E | S)$ which represents contains the evidence from the world coupled with knowledge about the current world state. Can break sensor model down into an object model, which describes the objects in the world, and a rendering model, which describes the geometry of the world. “Which aspects of the rich visual stimulus should be considered to help the agent make good action choices, and which aspects should be ignored?