text
stringlengths
100
957k
meta
stringclasses
1 value
# Why is there a hydrogen emission spectrum? Jun 24, 2017 Well, the same reason why any atom has an emission spectrum... because everything composed of atoms can absorb light, and consequently emit light upon relaxation of the electrons in the atoms. Atoms are particularly interesting in that they have discrete emis...
{}
Calculating Magnetic Fields – Learn The strength of the magnetic field around a current-carrying conductor and a solenoid can be determined quantitatively. • The equation used to calculate the strength of the field around a current-carrying conductor, gives us the magnitude of the field at some distance, , from the c...
{}
I’ve been down a bit of a rabbit hole regarding procedural generation lately. In particular, I’ve been studying techniques on lock and key dungeon generation, as it’s often called, though “dungeon” is a bit of a misnomer since most of these techniques can just as easily apply to other use cases. At its core, the lock a...
{}
# In the Lennard-Jones potential, why does the attractive part (dispersion) have an $r^{-6}$ dependence? The Lennard-Jones potential has the form: $$U(r) = 4\epsilon\left[ \left(\frac{\sigma}{r}\right)^{12} - \left(\frac{\sigma}{r}\right)^{6} \right]$$ The (attractive) $r^{-6}$ term describes the dispersion force (a...
{}
# What is the electron geometry and molecular geometry for SCl_2? Nov 13, 2016 The electron geometry is tetrahedral and the molecular geometry is bent. #### Explanation: To determine the geometries, you must follow a series of steps. Step 1. Draw the Lewis structure. Step 2. Use VSEPR theory to determine the ele...
{}
### Calculating delta diversity William James Tychonievich's recent post "Calculating beta diversity" presents a fascinating problem of trying to find a formula relating three types of ecological diversity: gamma diversity, alpha diversity, and beta diversity.  He presents these concepts lucidly, so read the above pos...
{}
# Given Epsilon > 0, come up with a delta? Limit problem. 1. Feb 2, 2016 ### INTP_ty • Member warned about not using the homework template Lim as x approaches 4 of 1/x = 1/4 Given epsilon > 0, come up with a delta, d? Limits have been introduced. So far my instructor has had us make tables to see what value x was ...
{}
# Is $\aleph_0$ the minimum infinite cardinal number in $ZF$? $\aleph_0$ is the least infinite cardinal number in ZFC. However, without AC, not every set is well-ordered. So is it consistent that a set is infinite but not $\ge \aleph_0$? In other words, is it possible that exist an infinite set $A$ with hartog number...
{}
We think you are located in United States. Is this correct? # Do you need more Practice? • We can define three trigonometric ratios for right-angled triangles: sine ($$\sin$$), cosine ($$\cos$$) and tangent ($$\tan$$).
{}
# Front Page I am an associate professor of mathematics at the University of Oregon. My research interests include random spatial processes, mathematical statistical physics and number theory. I am currently the Secretary/Treasurer of the American Association of University Professors. ## Non-archimedean electrostati...
{}
# zbMATH — the first resource for mathematics The chromatic number of random graphs. (English) Zbl 0666.05033 Let $$G_ p$$ denote a random graph with vertex set $$\{$$ 1,2,...,n$$\}$$, in which the edges are chosen independently and with probability $$p=p(n)$$, $$0<p<1$$. The main aim of the paper is the study of the ...
{}
# It looks complicated Calculus Level 3 If $$f(x) = \max \left( \sin x , \cos x , \dfrac12\right)$$, find the area bounded by the curve, $$y = f(x)$$, $$x$$-axis, $$y$$-axis and $$x = 2\pi$$.
{}
Whether you invest in stocks, bonds, commodities or currencies, it is likely that you have heard of the carry trade. This strategy has generated positive average returns since the 1980s, but only in the past decade has it become popular among individual investors and traders. For the better part of the last 10 years, ...
{}
# Is [a,b] ever an open set in the order topology? 1. Sep 19, 2010 ### Zoomingout My textbook is indicating to me that sometimes {x \in X : a <= x <= b} is an open set. How can this happen? My only guess is that if X has a smallest and largest element, called a and b, then sure. Otherwise? 2. Sep 19, 2010 ### Off...
{}
# How to cite a paper as shortened first author name and year [Ste2002]? [closed] The way I'd like to cite papers in my work is 3 characters of the last name of the first author + year of publication without spaces, 'et al.' and comas. I'd like to use Citavi, as it has convenient Word add-on, but I haven't found how t...
{}
# Explain volume contraction in mixtures of alcohol and water Could someone explain why volume contraction occurs when you mix an alcohol such as ethanol with water in relation hydrogen bonding and the dipole-dipole forces? • I think that this answer actually addresses your question pretty nicely. It isn't purely abo...
{}
# 4.1 Perfect reconstruction (pr) Page 1 / 1 This module discusses perfect reconstruction (PR). We are now able to generalize our analysis for arbitrary filters ${H}_{0}$ , ${H}_{1}$ , ${G}_{0}$ and ${G}_{1}$ . Substituting this equation and this equation in our discussion of 2-band filter bank into this earlier equ...
{}
40m QIL Cryo_Lab CTN SUS_Lab TCS_Lab OMC_Lab CRIME_Lab FEA ENG_Labs OptContFac Mariner WBEEShop 40m Log, Page 92 of 344 Not logged in ID Date Author Type Category Subject 6243   Fri Feb 3 10:48:24 2012 DenUpdateComputersc1lsc kernel This morning I killed again c1lsc kernel with the new realization of fxlms algorithm....
{}
Artefacts from playing ultrasound through PA system I encode data in audio by energising 5 frequencies between 17.5kHz and 19.5kHz: I play the WAV on a sports stadium (20k seating, so BIG) PA rig, placing a microphone somewhere in the spectator seating area. This is the data (I did it at vol=0.6 and vol=1): As can ...
{}
# First Order Differential Equation: $ty' + ty = 1-y$ $$ty' + ty = 1-y$$ I am having trouble going about this question. I have tried different processes to answer the differential equation, including separable, exact, homogeneous and linear equations. I have ran into a wall through all these processes. Maybe I'm not ...
{}
# Symbols:P Previous  ... Next ## pico- $\mathrm p$ The Système Internationale d'Unités metric scaling prefix denoting $10^{\, -12 }$. Its $\LaTeX$ code is \mathrm {p} . ## peta- $\mathrm P$ The Système Internationale d'Unités metric scaling prefix denoting $10^{\, 15 }$. Its $\LaTeX$ code is \mathrm {P} . ##...
{}
### Theory: A line segment has two end points. The line segment $$AB$$ is represented by $\overline{\mathit{AB}}$. A ray is a line that starts from a point $$A$$ and extends without any end in a particular direction passing through $$B$$ which is denoted by$\stackrel{\to }{\mathit{AB}}$. If two lines $$m$$ and $$l$$...
{}
## Cryptology ePrint Archive: Report 2012/221 Almost-Everywhere Secure Computation with Edge Corruptions Nishanth Chandran and Juan Garay and Rafail Ostrovsky Abstract: We consider secure multi-party computation (MPC) in a setting where the adversary can separately corrupt not only the parties (nodes) but also the c...
{}
# New overview/structure notes Q4 2021 / project material inception edited December 2021 Since structure notes and conceptual overviews can quickly become the foundation of actual projects, I thought we might all enjoy taking inventory of the past 3 months in terms of which structure notes we've tended to. Since "te...
{}
# Freaky Function! Algebra Level 3 A function $$f: \mathbb{N} \rightarrow \mathbb{N}$$ is such that 1) $$f(xy)= f(x)f(y)$$ 2) The function is strictly increasing. 3) $$f(2)=2$$ Find $$\sum _{ k=1 }^{ 20 }{ f(k) }$$ ×
{}
# How to deal with the index in Einstein summation? 1. Oct 6, 2005 ### yukcream Given U^k_i, the components of U is a delta function i.e for i=k U^i_k =1, to prove it is invariant under Lorentz transformation~~ I don't know how to express it in Einstein summation notation, I am very confused with the upper-lower in...
{}
# [XeTeX] Wrong placement of indices of \sum in displayed formulae when using Neo Euler Christian Pech cpech at freenet.de Tue Oct 12 15:31:36 CEST 2010 Hello, I am having a problem with mathematical typesetting under XeLaTeX: In a formula like $\sum_{i=1}^n \ldots$ The indices i=1 and n appear too close to the S...
{}
Logical preliminaries   First order logic Classical Propositional Logic $\mathsf{PC}$ Formalism description Formulas of the classical propositional logic $\mathsf{PC}$ are generated by the following abstract syntax: $p \, |\, \neg \varphi \, |\, \varphi \vee \psi \, | \, \varphi \wedge \psi \, | \, \varphi \rightarro...
{}
# American Institute of Mathematical Sciences November  2017, 11(4): 767-775. doi: 10.3934/amc.2017056 ## On the performance of optimal double circulant even codes 1 Department of Electrical and Computer Engineering, University of Victoria, P.O. Box 1700, STN CSC, Victoria, BC, Canada V8W 2Y2 2 Research Center for ...
{}
# NAG Library Routine Document ## 1Purpose s19abf returns a value for the Kelvin function $\mathrm{bei}x$ via the function name. ## 2Specification Fortran Interface Function s19abf ( x, Real (Kind=nag_wp) :: s19abf Integer, Intent (Inout) :: ifail Real (Kind=nag_wp), Intent (In) :: x #include nagmk26.h double s1...
{}
## ABSTRACT Transmitted light imaging is an important tool in biophysics for applications that include sample analysis, recording samples whose viability is compromised by high levels of illumination (e.g., live cell tracking), and finding regions of interest in a sample. Koehler transillumination is a powerful illumi...
{}
# Doing a Survey ## Surveys A little while ago, Christo was in hospital. It wasn't anything serious: he had a sore tummy and we needed to find out why. He is all better now. After Christo came out of hospital, he was given a survey form and was asked to fill it out. Maybe someone has asked you to do a survey, too. E...
{}
# How do you integrate f(x)=intsin(e^t)dt between 4 to x^2? May 22, 2018 int_4^(x^2)sin(e^t)dt≈int _0^(+oo)sin(y)/ydy=pi/2 #### Explanation: ${\int}_{4}^{{x}^{2}} \sin \left({e}^{t}\right) \mathrm{dt}$ Let $y = {e}^{t}$ $t = \ln y$ $\mathrm{dt} = \frac{\mathrm{dy}}{y}$ int_4^(x^2)sin(e^t)dt=int_(e^4)^(e^(x²))sin(y)...
{}
Thursday August 25, 2016 what does property mean in 3 rd grade math example 4+8= 12 find the property Tuesday, October 6, 2009 by shemar Please show equation and solve for the following 1. Lyn's age is 8 years less than 15 times the age of her niece Elizabeth. If the sum of their ages is 24, what is Elizabeth's age (...
{}
In a digital communication system employing Frequency Shift Keying (FSK), the 0 and 1 bit are represented by sine waves of 10 kHz and 25 kHz respectively. These waveforms will be orthogonal for a bit interval of This question was previously asked in ESE Electronics 2014 Paper 2: Official Paper View all UPSC IES Papers...
{}
# Gradient to transparent (horizontal) for beamer frametitle I would like my frametitle bg to fade horizontally to a background image. I have attempted to modify the solution for vertical gradients found here: Beamer theme with fading (=gradient to transparent) to background image by replacing "fade bottom" with "fad...
{}
Open Access Publications from the University of California ## Generation and Optimization of High Quality Multi-GeV Electron Beams in Plasma Wakefield Accelerators Abstract In this dissertation, a new method for producing ultra-bright electron beams in nonlinear plasma wave wakes driven by an electron beam driver is...
{}
# Hunt For The Last 3 Find the last three digits of the number $3 \times 7 \times 11 \times 15 \times \cdots \times 2003.$ ×
{}
View on GitHub # ezQuake Manual - Frequently Asked Questions (automatic conversion from internal help - last edited Tue 07-Oct-2003) ## What do I need in order to play QW? A great place to start is nQuake . This is a pack that contains everything you need in order to play (ezQuake client, configs, maps, textures, t...
{}
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't. The little half puzzle proposed a “dumb’ solution in that players play a minimax strategy. There are 34 starting values less than 100 guaranteeing a sure win to dumb players. If instead the players maximise their choice at e...
{}
# Needs a proper solution! Number Theory Level pending Let $$S_{k}(a)$$ denote the sum of digits of a number, find the value of number $$(m)$$ such that: $$S_{k}(m+3)^{3}$$ = $$m^{3}$$ $$S_{k}(m+6)^{3}$$ = $$m^{3}$$ $$S_{k}(m+9)^{3}$$ = $$m^{3}$$ ×
{}
# How to find $\theta$ for $\tan\theta=-\frac{4}{3}$? Given $\tan\theta = -\frac{4}{3}$, between $0\leq\theta\leq2\pi$, how can I find both values of $\theta$, with or without a calculator? • Use your calculator to find $\tan^{-1}(4/3)$ in radians, and then subtract the result from $\pi$ (to get the angle in Quadrant...
{}
Last week I ended the blogpost saying I would share results from the Kaggle survey this week, but actually there’s something else I want to talk about first ## Sample size In social science research we are mostly working with data collected by someone else. That’s because the scale of the survey data we need to be re...
{}
# Find a polynomial over $\mathbb{Q}$ with a given Galois group. How can I find a polynomial over $\mathbb{Q}$ given its Galois group over $\mathbb{Q}$. Do I have to guess, i.e. pick random polynomials and calculate their Galois groups, or is there a clever method? I'm asking this, because I have an assignment that ...
{}
## angular deceleration A grinding wheel, initially at rest, is rotated with constantangular acceleration of 4.04 rad/s2 for 6.42 s. Thewheel is then brought to rest with uniform deceleration in 10.8rev. Find the angular deceleration required to bring the wheel torest. Answer in units of rad/s2. Determine the timeneed...
{}
RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB General information Latest issue Archive Impact factor Subscription Guidelines for authors Submit a manuscript Search papers Search references RSS Latest issue Current issues Archive issues What is RSS Teor. Veroyatn...
{}
$$\gdef\badDispatch#1{\textbf{\textcolor{e1432d}{#1}}} \gdef\noKatexForm#1{\badDispatch{#1}} \gdef\largeDot{\raisebox{0.06em}{\tiny∙}} \gdef\rarrbar{ {\raisebox{-0.05em}{→}\mkern{-0.13em}{\large\shortmid}}} \gdef\larrbar{ { {\large\shortmid}\mkern{-0.13em}{\raisebox{-0.05em}{←}}}} \gdef\suptrans{^\mathsf{T}} \gdef\supd...
{}
# Sinc function Last updated In mathematics, physics and engineering, the sinc function, denoted by sinc(x), has two forms, normalized and unnormalized. [1] ## Contents In mathematics, the historical unnormalized sinc function is defined for x ≠ 0 by ${\displaystyle \operatorname {sinc} x={\frac {\sin x}{x}}.}$ A...
{}
# Can the CholeskyDecomposition function in Mathematica be made to work on non-symmetric matrices? The CholeskyDecomposition[m] function in Mathematica requires a symmetric and positive definite matrix m. For instance, the following works: In[1]:= m = {{1, 0.5, 0.5}, {0.5, 1, 0.5}, {0.5, 0.5, 1}}; In[2]:= CholeskyD...
{}
# 6798430 ### Summary Papadimitriou, D., Careglio, D., Tarissan, F. and Demeester, P. (2013) Method of reliability and availability analysis from the dynamic properties of routing and forwarding paths. In Ultra Modern Telecommunications and Control Systems and Workshops (ICUMT), 2013 5th International Congress on. Se...
{}
## Stream: new members ### Topic: How to make Vec polymorphic over the universe levels? #### Marko Grdinić (Nov 01 2019 at 13:26): inductive Vec (α : Type*) : ℕ → Type* | nil : ∀ {n : ℕ}, Vec n | cons : ∀ {n : ℕ}, α → Vec n → Vec (n + 1) Vec.lean:1:0: error universe level of type_of(arg #3) of 'Vec.cons' is too big...
{}
• ### Announcements #### Archived This topic is now archived and is closed to further replies. # "FAILED(ddrval)" or "ddrval==DD_OK" ## 2 posts in this topic Yes, FAILED and SUCCEEDED are preferred over checking against DD_OK, or S_OK. This is because it is possible for COM interfaces to return multiple success va...
{}
Two very short proofs, mostly topological, that a nonconstant polynomial map $f:{\bf C} \to \bf C$ is surjective (joint work with Robert Palais): (1) Complex analysis shows that $f$ is an open map (images of open sets are open). A standard estimate, $|f(z)|\to\infty$ as $|z|\to\infty$, implies$f$ is also a closed map (...
{}
# Hexo - local configuration Exploring how to use merged config files for setting up a “local” vs “prod” workflow in Hexo. Dave (from https://davefollett.io/) and I were talking a bit about thumbnails, feature images, and our local vs deployed dev process in the coding blocks slack channel today. I discovered that a ...
{}
# 10th International Conference on Hard and Electromagnetic Probes of High-Energy Nuclear Collisions May 31, 2020 to June 5, 2020 Online US/Central timezone ## Production and azimuthal anisotropy of muons from heavy flavor decays in small and large systems with ATLAS Jun 4, 2020, 10:35 AM 20m https://cern.zoom.us/j/...
{}
The eight US global systemically important banks (G-Sibs) increased their over-the-counter derivatives notional in the second quarter to levels last seen at the beginning of 2016. But they also cut their positions with other financial firms and overseas institutions after increasing them in the first quarter, reducing ...
{}
GMAT Question of the Day - Daily to your Mailbox; hard ones only It is currently 24 Jan 2019, 04:52 ### GMAT Club Daily Prep #### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email. Customize...
{}
# Function analysis • Nov 22nd 2011, 04:52 PM benny92000 Function analysis If g(x-1)= x^(2) + 2, then g(x)=? Answer = x^(2) + 2x + 3 Thanks for the help • Nov 22nd 2011, 05:10 PM emakarov Re: Function analysis Let's define f(x) = g(x - 1) = x^2 + 2. Then what is f(x + 1)? • Nov 22nd 2011, 05:15 PM Prove It Re: Funct...
{}
# Interpreting changes in hazard and hazard ratios I recently attended a great course by Odd Aalen, Ornulf Borgan, and Hakon Gjessing, based on their book Survival and Event History Analysis: a process point of view. Among the many interesting topics covered was the issue of how to interpret changes in estimated hazar...
{}
# Can anybody tell me the difference between these two velocity? In Waves i earlier studied that velocity of the wave is given $$wa\sqrt{1-y^2}$$ w= angular velocity a=amplitude of the wave y=post. of wave at any time and now when i am studying wave optics velocity is given by $$ƒ*Λ$$ f=frequency of the wave ^=wav...
{}
# 3. The BOV file format¶ The BOV (Brick Of Values) format is a binary format used to represent a single variable defined on a regular mesh. The BOV file consists of two files, a small text file describing a file with the binary data. ## 3.1. The structure of a BOV file¶ The BOV header file consists of a text file w...
{}
# What are the things every Savage Worlds player should know? [closed] I'm playing in my first savage worlds next week, and I have no idea what the system is like. What should I know going in? - ## closed as too broad by doppelgreener, Tritium21, Miniman, Thomas Jacobs, TynamAug 18 '15 at 12:08 There are either too...
{}
# I know it's a lot, but I would really really appreciate any help. It is my... ###### Question: I know it's a lot, but I would really really appreciate any help. It is my study guide and I am hoping with your help I can manage to do good on the exam 7) A rock of mass m is tied to a string and spun in a vertical circ...
{}
# 10-23 Attendance at Physical Inventory Counting. A processor of frozen foods carries an inven- tory of... ###### Question: 10-23 Attendance at Physical Inventory Counting. A processor of frozen foods carries an inven- tory of finished products consisting of 50 different types of items valued at approxi- mately $2,0...
{}
Mixture model using GPs by summing Cov matrices Hi, Is there a way to use gp.models.GPRegression implementation to build a mixture model that combines several GPs? Example: GP1 applies to time series [0, 0, 1, 1] and GP2 applies to time series [1, 1, 1, 0]. This means that for time series 2 (index starting at 0) I wo...
{}
# Tag Info 1 vote ### HHL for non power of 2 matrix Assume that your system of linear equations is of $m$ equations in $m$ variables, $x_1, x_2, \ldots, x_m$ where $2^{n-1} < m < 2^n$. One solution to make the system compatible with HHL algorithm ... • 3,920 Note that $|i\rangle$ is in fact decimal representation of...
{}
nLab braided monoidal 2-category Context Monoidal categories monoidal categories With traces • trace • traced monoidal category? In higher category theory 2-Category theory 2-category theory Contents Idea A braided monoidal 2-category is a 2-category $C$ equipped with a tensor product $\otimes :C×C\to C$ 2-...
{}
# Surface integral over an inconvenient surface I was looking at U Penn's sample prelim (http://www.math.upenn.edu/grad/sampleprelim.pdf) and most of the problems seem fairly trivial. However, I'm having a lot of trouble with a surface integral. The problem reads: Let $$\vec{F}$$ be a vector field defined in $$\mathb...
{}
# How do you solve the compound inequality 3<2x-3<15? May 21, 2017 See a solution process below: #### Explanation: First, add $\textcolor{red}{3}$ to each segment of the system of inequalities to isolate the $x$ term while keeping the system balanced: $3 + \textcolor{red}{3} < 2 x - 3 + \textcolor{red}{3} < 15 + \...
{}
# 物理代写|宇宙学代写cosmology代考|PHYC90009 ## 物理代写|宇宙学代写cosmology代考|Scalar–vector–tensor decomposition In the previous chapter, we have seen that the transformation to Fourier space simplified the perturbed Boltzmann equations considerably, by decoupling the different Fourier modes $\boldsymbol{k}$. The Einstein equations are...
{}
Select Page In a typical physics class, we change from degrees to radians and back several times.  When should you use radians vs. degrees?  I’ll help you decide. You should use radians when you are looking at objects moving in circular paths or parts of circular path.  In particular, rotational motion equations are ...
{}
# How do you solve x^ { 2} ( x ^ { 2} - 25) \geq 0? Feb 13, 2018 $x \le - 5 , \text{ " x = 0, " } x \ge 5$ #### Explanation: First, let's find the points where the function EQUALS $0$. This is because whenever the function is $0$, it will be switching from negative to positive, and then we can plug in test points ...
{}
# Universality of Power-of-$d$ Load Balancing in Many-Server Systems ## Speaker: Debankur Mukherjee ## Affiliation: Technische Universiteit Eindhoven Department of Mathematics and Computer Science 5612 AZ Eindhoven Netherlands ## Time: Wednesday, 21 December 2016, 16:00 to 17:00 • AG-80 ## Organisers: We consi...
{}
Small limit marathon Show 40 post(s) from this thread on one page Page 1 of 3 123 Last • Jul 20th 2008, 10:22 AM Moo Small limit marathon ...not as long as Mathstud's. So feel free to create a new one (Tongueout) Some (if not all) are easy, so @ the masters (not http://www.mathhelpforum.com/math-he...s/masters.html), ...
{}
Math Help - Determine whether the integral converges or diverges 1. Determine whether the integral converges or diverges Determine whether the integral converges or diverges: $\int_0^{\infty}(t^{-2}e^t) dt$ What would be the first step here in determining convergence or divergence? 2. Re: Determine whether the int...
{}
96.8 Algebraic morphisms The following notion is occasionally useful. Definition 96.8.1. Let $S$ be a scheme. Let $F : \mathcal{X} \to \mathcal{Y}$ be a $1$-morphism of stacks in groupoids over $(\mathit{Sch}/S)_{fppf}$. We say that $F$ is algebraic if for every scheme $T$ and every object $\xi$ of $\mathcal{Y}$ over...
{}
## Coherent Network Analysis Technique for Discriminating Gravitational-wave Bursts From Instrumental Noise How to overconstrain the problem of discriminating gravitational wave signals from detector noise and glitches.
{}
# Can an Arcane Trickster/Wizard multiclass write down AT spells into its spellbook? [duplicate] It is said, AT are half-wizards who know their spells so well they don't need a spellbook to cast them. Wizards can read and write down spells, make Scrolls or copy them. Can these perfect entities write their own, well-kn...
{}
Not logged in [Login - Register] Sciencemadness Discussion Board » Fundamentals » Organic Chemistry » Synthesis of 3-(p-Hydroxyphenyl)-2-Butanone "raspberry ketone" Select A Forum Fundamentals   » Chemistry in General   » Organic Chemistry   » Reagents and Apparatus Acquisition   » Beginnings   » Miscellaneous   » The...
{}
# Approximation of a linear function with polynomials of degree 1 If I have the following problem $$-\mu u'' + u' = 1$$ with boundary conditions $u(0) = u'(1) = 1$ in the interval $\Omega = (0,1)$. The exact solution is $$u(x) = x + 1$$ Will the FEM approximation with piecewise linear functions ($\mathbb{P}^1$) have...
{}
# Wrong display order of figures and text Why do the figures appear BEFORE instead of AFTER the section title ??? \documentclass[pdftex,12pt,a4paper,english,dutch,leqno]{article} \usepackage{babel} \usepackage{amsmath} \usepackage{amssymb} \usepackage{tikz} \usetikzlibrary{arrows,decorations.markings,patterns,calc} ...
{}
# What subjects can be taught using spreadsheets to 13 year old kids? This semesters I am teaching a course to 12-13 year old kids in which they are supposed to learn the basics of spreadsheet usage. I am having difficult in coming up with fun / interesting exercises to teach them the basic functions, such as average...
{}
# Weighted $L^p$ spaces and orthogonal families of polynomials Let $I$ be a closed interval (bounded or not) of $\mathbb{R}$ and let $w\colon I \rightarrow \mathbb{R}$ be a continuous function that is positive inside $I$ and such that for every $n\in \mathbb{N}_0$, $$\int_I \left| t \right |^n \cdot w(t) dt < \infty....
{}
library(distionary) You’re able to make a wide range of probability distributions using distplyr’s manipulation functions, but you’ll need to start with more standard, basic distributions first. There are typically three use cases for building a basic distribution: 1. Parametric families 2. Empirical distributions 3....
{}
Does it matter for this function if the set we check membership of is finite? I have the following problem. Let $\Phi$ be an admissible numbering of the single-parameter partially-recursive functions. That is, $\Phi(i, x) = f_i(x)$ with $f_i$ the $i$th partially-recusive function with one parameter. Denote with $f(x)...
{}
# Covariance of conditional expectations I'm interested in the relationship between $$cov(X,Y)$$ and $$cov\left(E(X|Y),E(Y|X)\right).$$ In particular, can it occur that $cov(X,Y)>0$ but $cov(E(X|Y),E(Y|X))<0$? In the case of $\begin{bmatrix}X_1\\X_2\end{bmatrix}\sim N\left(\begin{bmatrix}0\\0\end{bmatrix},\begin{bmat...
{}
## Encyclopedia > Electromagnetic field Article Content # Electromagnetic field The electromagnetic field (EMF[?]) is composed of two related vectorial fields, the electric field and the magnetic field. This means that the vectors (E and B) that characterize the field each have a value defined at each point of space...
{}
# Eigenvalues of Fredholm Integral problem I came across this exercise and I am stuck on how to solve it: Consider a Fredholm Integral of the second kind: $u(x)=f(x)+\lambda\int_{0}^{L}K(x,t)u(t)dt$. Define the 2nd iterate Kernel $K_2(x,y)=\int_{0}^{L}K(x,t)K(t,s)dt$. If $\lambda$ is an eigenvalue for $K_2$, then we...
{}
The differences between the Schrödinger and Heisenberg pictures of quantum mechanics revolve around how to deal with systems that evolve in time: the time-dependent nature of the system must be carried by some combination of the state vectors and the operators. . ∂ The Hilbert space describing such a system is two-dime...
{}
2. Economics 3. a calculate a slope across arc ab assuming that at... # Question: a calculate a slope across arc ab assuming that at... ###### Question details A) calculate a slope across arc AB, assuming that at point A x= 1 and y = 0, and that at point B x = 3 and y = 5 B) calculate a slope across arc AD, assumin...
{}
For the $$N$$ number of particles moving freely in $$d$$-dimensional space, the degrees of freedom is represented by the equation $$f=Nd$$. If there are constraints then $$f=Nd-k$$,where $$k$$ is the number of constraints.
{}
# The Secretary Problem Part Two Published: Before reading this, it’s important to have an understanding of The Secretary Problem, which is detailed in my previous post The Secretary Problem. Now, suppose that we don’t just rank them from 1 to $n$ where $n$ is the number of candidates. Instead, we generate $n$ sampl...
{}
Mathematics OpenStudy (anonymous): If x<0 and y>0, determine the sign of the real number x-y/xy OpenStudy (anonymous): that be negative OpenStudy (anonymous): oh wait... OpenStudy (mertsj): If x is negative and y is positive then x-y is negative and xy is negative. negative divided by negative is positive. Open...
{}
# conditional probability word problem An auditor samples $100$ of a firm’s travel vouchers to ascertain what percentage of the whole set of vouchers are improperly documented. What is the approximate probability that more than $30$% of the sampled vouchers are improperly documented if, in fact, only $20$% of all the ...
{}
# Area under curve The question: Let R and S be regions in the first quadrant. The region R is bounded by the x-axis and the graphs of y=2-x^3 and y=tanx. The region S is bounded by the y-axis and the graphs of y=2-x^3 and y=tanx. a) Find the area of R b) Find the area of S I really need help starting this. I know ...
{}
# Theories of Circular Functions: Part 3 Continuing our journey from last two posts we present some more approaches to the development of the theory of circular functions. One approach is based on the use of infinite series and requires basic knowledge of theory of infinite series. This approach is particularly well s...
{}
Appropriate statistical test for data which do not have normally distribution and do not have equal variance My data has 150 samples and is not normally distributed, and it does not have equal variances either. I know t-test (e.g. this python method) can be used when data is normally distributed and it can be used whe...
{}
# 20.4: Teacher Ratings Learning Objectives • Teacher Ratings ## Research conducted by Annette Towler and Robert Dipboye Emily Zitek ## Overview How powerful are rumors? Frequently, students ask friends and/or look at instructor evaluations to decide if a class is worth taking. Kelley ($$1950$$) found that instr...
{}
# How to invoke a UEFI Shell (v2.2) on a Fusion Player virtual machine with Big Sur installed big surcommand lineefivirtualizationvmware I am using the current free version of VMware Fusion Player (Version 12.1.0). I have created a Big Sur virtual machine to do some testing, which involves modifying NVRAM variables. ...
{}
# Calculus Solutions, Important Examples, Formulas and Videos ## Integration • Let $\frac{\mathrm{d} }{\mathrm{d} x}F(x)=f(x)$ . Then we write $\int f(x)dx=F(x)+c$ These integrals are called indefinite integrals or general integrals, C is called constant of integration. All these integrals differ by a constant • From...
{}