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• 15:10, 22 May 2024 Rice talk contribs created page Constant (Created page with "Good design require compromise. To generate a constant, we sacrifice precision, allowing only 8 bits. We then have 4 bits for rotating the value to generate a much greater range of results.")
• 15:06, 22 May 2024 Rice talk contribs created page ECS154A Final topics (Created page with "Swap controller, sequence recognizer")
• 15:00, 22 May 2024 Rice talk contribs created page Method of undetermined coefficients (Created page with "Category:Differential Equations Glorified name for guess and find coefficients of second order ODEs.")
• 05:09, 22 May 2024 Rice talk contribs created page Reduction of order (Created page with "Category:Differential Equations The '''reduction of order''' technique allows one to find a second solution to a differential equation when one solution is already found. Take a linear second order constant coefficient homogeneous ODE (see Second order linear ODE) with one repeated-root solution. Add u(t) as follows <math> y(t)=u(t)e^{2t} </math> Substituting into the ODE, and you get <math> u'' = 0 </math> Integrating up, and you get u in the form <math>...")
• 23:50, 21 May 2024 Rice talk contribs created page Euler's formula (Created page with "Category:Mathematics <math> e^{it}=\cos t+i\sin t </math>")
• 22:57, 21 May 2024 Rice talk contribs created page General existence theorem (Created page with "Every Second order linear homogeneous ODE with continuous coefficients has a fundamental set of solutions. This is proven by handpicking a set of initial conditions such that the Wronskian is 1.")
• 15:22, 20 May 2024 Rice talk contribs created page ISA (Created page with "Category:Computer Architecture '''Instruction set architecture (ISA)''' = Stack = Zero address architecture, where operands are on stack inside CPU. It has the downside of being slow due to DRAM being slower than SRAM.")
• 15:11, 20 May 2024 Rice talk contribs created page Addressing mode (Created page with "Category:Computer Architecture Immediate, direct, indirect, register, register direct, register indexed. Review later.")
• 19:49, 19 May 2024 Rice talk contribs created page Wronskian (Created page with "Category:Differential Equations The '''Wronskian''' of n equations is the determinant of the following matrix <math> \begin{vmatrix} f_1(x) & f_2(x) & \cdots & f_n(x) \\ f_1'(x) & f_2'(x) & \cdots & f_n'(x) \\ \vdots & \vdots & \ddots & \vdots \\ f_1^{(n-1)}(x) & f_2^{(n-1)}(x) & \cdots & f_n^{(n-1)}(x) \end{vmatrix} </math>")
• 19:05, 19 May 2024 Rice talk contribs created page Abel's theorem (Created page with "Category:Differential Equations '''Abel's theorem''' in linear differential equations states that for any second order linear homogeneous ODE, <math> y'' + p(t)y'+q(t)y=0 </math> Given <math>y_1, y_2</math> as particular solutions to the ODE, then the Wronskian of the two solutions can be described in terms of the ODE's coefficients as <math> W(t)=Ce^{\int p(x)dx} </math>")
• 21:06, 18 May 2024 Rice talk contribs created page Hyperparameter optimization (Created page with "Category:Machine Learning Aspects of an ML model is controlled by hyperparameters. '''Hyperparameter optimization''' is an iterative process that attempts to find the best hyperparameters for a given model. = Grid search = '''Grid search''' (aka. grid search cross validation) computes all possible combinations of hyperparameters based on your input (possible values for each hyperparameter). The model is then trained and validated, and the best performance resul...")
• 20:23, 18 May 2024 Rice talk contribs created page Dropout regularization (Created page with "Category:Machine Learning '''Dropout regularization''' behaves quite differently than other regularization techniques. Instead of penalizing large weights in the loss function, it adds a layer that randomly ignores neurons at every full-pass. Dropout regularization is controlled by hyperparameter '''dropout rate'''. For example, a dropout rate of 0.2 means that 20% of input neurons will be ignored.")
• 19:58, 18 May 2024 Rice talk contribs moved page Ridge Regression to Ridge regression
• 19:49, 18 May 2024 Rice talk contribs created page Overfit (Redirected page to Curve fitting#Overfitting) Tag: New redirect
• 19:48, 18 May 2024 Rice talk contribs moved page Curve Fitting to Curve fitting
• 19:47, 18 May 2024 Rice talk contribs moved page Regularization to Lasso regression
• 00:34, 18 May 2024 Rice talk contribs created page Superposition principle (Created page with "Category:Differential Equations The '''superposition principle''' is actually a broad category of principles that widely apply to homogeneous linear stuff. I'll discuss this in the context of differential equations. Consider a linear operator on functions, L <math> L[y]=y''+py'+qy </math> It can be (pretty easily) proven that <math> L[y_1+y_2]=L[y_1]+L[y_2] </math> and <math> L[cy]=cL[y] </math> Then, given two homogeneous solutions <math> L[y_1]=L[y_2]=...")
• 21:26, 17 May 2024 Rice talk contribs created page Initial value problem (Created page with "Category:Differential Equations The '''initial value problem (IVP)''' is a very common class of problem in Differential Equations. As the name suggests, in an IVP, an initial value is given along with a differential equation. <math> y(t_0)= y_0 </math>")
• 21:24, 17 May 2024 Rice talk contribs created page IVP (Redirected page to Initial value problem) Tag: New redirect
• 21:24, 17 May 2024 Rice talk contribs created page Numerical solutions of differential equations (Created page with "Category:Differential Equations *Note that this is not tested in MAT22B Numerical solutions of IVPs involve using taylor series and the definition of derivatives: <math> \frac{dy}{dx}(x=x_0) = \lim_{h\rightarrow 0}\frac{y(x_0+h)-y(x_0)}{h} </math> Since we know one initial value of the function, we can use the above property to iteratively approximate the surrounding values with a small step (h). = Classification = Numerical solutions are evaluated by th...")
• 20:29, 17 May 2024 Rice talk contribs created page Techniques for solving differential equations (Created page with "Category:Differential Equations * Integrating factor for linear first order ODEs * Separation of variables for autonomous ODEs")
• 19:48, 17 May 2024 Rice talk contribs moved page Linear First Order ODE to Linear first order ODE
• 19:29, 17 May 2024 Rice talk contribs created page Category:Differential Equations (Created blank page)
• 16:08, 17 May 2024 Rice talk contribs created page Transistors (Created page with "Basically switches; passes through or blocks based on electric signal at gate. = BJT = Used in the 60s. There are two variations: PNP and NPN transistors. = FET = Field effect transistors, popular after 60s. There are two variations: nMOS and pMOS. Category:Computer Architecture")
• 15:22, 17 May 2024 Rice talk contribs created page Random access memory (Created page with "Writable, volatile memory. = Classifications = * Static RAM remembers the bits stored as long as it is powered. * Dynamic RAM forgets it over a short time. Category:Computer Architecture")
• 15:14, 17 May 2024 Rice talk contribs created page EEPROM (Created page with "Basically flash memory, electronically erasable. Category:Computer Architecture")
• 15:13, 17 May 2024 Rice talk contribs created page EPROM (Created page with "EPROM differs from ROM and PROM in that there is a light sensor that erases it before writing. It was very very important. Category:Computer Architecture")
• 15:11, 17 May 2024 Rice talk contribs created page PROM (Redirected page to Programmable ROM) Tag: New redirect
• 15:11, 17 May 2024 Rice talk contribs created page ROM (Redirected page to Read only memory) Tag: New redirect
• 15:09, 17 May 2024 Rice talk contribs created page Programmable ROM (Created page with "A '''PROM''' is a more programmable version of ROM in that it is a chip that an engineer can program, unlike normal ROM that is only mast-programmable in the factory.")
• 15:06, 17 May 2024 Rice talk contribs created page Read only memory (Created page with "Memory that you can write once. Category:Computer Architecture")
• 15:41, 15 May 2024 Rice talk contribs created page Tri-state buffer (Created page with "A tri-state buffer passes X through when active and outputs a non-state high impedance z when inactive. Category:Computer Architecture")
• 15:38, 15 May 2024 Rice talk contribs created page Memory array (Created page with "A '''memory array''' is an element for storing values. It takes in an N-bit address input and spits out an M-bit value output. = Specification = A memory array can store <math>2^N</math> values, each value having M bits. A memory array is usually specified by the number of elements times the width of each value. For example, if N = 10 and M = 12, we have a 1024x12 memory array. = Construction = Memory arrays are usually ''active lows'' since not gates are convenientl...")
• 01:32, 10 May 2024 Rice talk contribs created page D flip-flop (Created page with "thumb|Figure 1. D flip-flop schematic In contrast to the D latch, which passes the input when clock is high, the '''D flip-flop''' stores data immediately before the clock edge. It is an important component in sequential circuits, storing the state of the circuit in registers. Category:Computer Architecture Category:ECS154A Midterm") Tag: Visual edit
• 01:32, 10 May 2024 Rice talk contribs created page File:Dflipflop.png
• 01:32, 10 May 2024 Rice talk contribs uploaded File:Dflipflop.png
• 01:17, 10 May 2024 Rice talk contribs created page Sequential circuit (Created page with "'''Sequential circuit''' is a type of circuit whose output is influenced by both current and prior inputs. = Memory = Sequential circuits have ''memory'' that record the ''state'' of the circuit depending on prior inputs. This memory is stored by '''latches''' and '''flip-flops'''. Here is a list of related components. * Category:Computer ArchitectureCategory:ECS154A Midterm")
• 00:28, 10 May 2024 Rice talk contribs created page File:4-1 MUX.png
• 00:28, 10 May 2024 Rice talk contribs uploaded File:4-1 MUX.png
• 21:44, 9 May 2024 Rice talk contribs created page Minterm (Created page with "A '''minterm''' is a term that consists of all inputs, complemented or not. Category:Computer Architecture Category:ECS154A Midterm")
• 21:41, 9 May 2024 Rice talk contribs created page Circuit (Created page with "A '''circuit''' is a network that processes discrete valued inputs and outputs. Each circuit has a '''functional specification''' dictating the relationship between input and ouput. Each circuit also has a '''timing specification''' determining the delay between input changing and output changing. See Timing page for details. = Classifications = A combinational circuit's output only depends on its current input. A sequential circuit's output depends on m...")
• 21:40, 9 May 2024 Rice talk contribs created page Combinational circuit (Created page with "A '''combinational circuit''' is a circuit whose outputs only depend on the current input. Logic gates are an example of combinational circuits. = Construction criteria = To construct a combinational circuit, the following must be met: * Each circuit element inside the circuit must be combinational. * Every node is either designated as an input or connects to exactly one output of a circuit element. * The circuit does not have cyclic paths. Category:Computer Arch...")
• 20:26, 9 May 2024 Rice talk contribs created page Static discipline (Created page with "The '''static discipline''' is a discipline in computer architecture that requires all circuit elements to produce ''logically valid'' outputs. In the real world circuits, there is no 0's and 1's, only voltage levels. For abstraction, we interpret a range of high voltages as 1 and a range of low voltages as 0. The static discipline ensures that this abstraction doesn't run into problems/undefined behavior by forcing all circuit elements to operate on 1's and 0's. [...") Tag: Visual edit
• 20:18, 9 May 2024 Rice talk contribs created page File:Full adder.png
• 20:18, 9 May 2024 Rice talk contribs uploaded File:Full adder.png
• 19:47, 9 May 2024 Rice talk contribs moved page Add to Adder
• 19:46, 9 May 2024 Rice talk contribs created page Category:ECS154A Midterm (Created blank page)
• 19:46, 9 May 2024 Rice talk contribs created page Two's complement (Created page with " '''Two's complement''' is a way to represent signed integers in binary. It is more widely used than its counterpart signed magnitude due to advantages like ease of operations. = Operation = In this system, think of the first bit in the bit pattern as negative. For example, 101 would be 4 + 1 = 5 as an unsigned number, but -4 + 1 = -3 as a signed number represented by 2's complement. To negate signed numbers, flip all bits and add 1. This comes from math: <math>-2...")
• 19:42, 9 May 2024 Rice talk contribs created page Discipline (Created page with "There is a high amount of abstraction related to computer architecture, from physical to program. A '''discipline''' is a way to manage that complexity by intentionally limiting design choices. = Source = * Computer Architecture ARM book Category:Computer Architecture")
• 19:31, 9 May 2024 Rice talk contribs created page Multiplexer (Created page with "A '''multiplexer (MUX)''' takes in many inputs and a select input. Based on the select input, it outputs one specific input. Category:Computer Architecture")