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# 2 Concentric Circles Total 12 individuals—A, B, C, D, E, F, G, H, I, J, K and L—are sitting in concentric circular arrangement such that six of them form the inner circle and the remaining six form the outer circle. Those who form the inner circle face outwards (away from the center) while those who form the outer c...
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Feeds: Posts ## Distributive categories Among all of the standard algebraic structures that a student typically encounters in an introduction to abstract algebra (groups, rings, fields, modules), commutative rings are somehow special: the opposite category $\text{CRing}^{op}$ behaves like a category of spaces, so muc...
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# zbMATH — the first resource for mathematics ##### Examples Geometry Search for the term Geometry in any field. Queries are case-independent. Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact. "Topological group" Phrases (multi-words) should be set in "strai...
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# 7.7: An Improper Integral ## Definition If $$f$$ integrable on $$[a, b]$$ for all $$b>a$$ and $\lim _{b \rightarrow+\infty} \int_{a}^{b} f(x) d x$ exists, then we define $\int_{a}^{+\infty} f(x) d x=\lim _{b \rightarrow+\infty} \int_{a}^{b} f(x) d x.$ If $$f$$ is integrable on $$[a, b]$$ for all $$a<b$$ and ...
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# A probabilistic algorithm to compute the real dimension of a semi-algebraic set • Published 2013 in ArXiv #### Abstract Let R be a real closed field (e.g. the field of real numbers) and S ⊂ R be a semi-algebraic set defined as the set of points in R satisfying a system of s equalities and inequalities of multivari...
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# Generalized Jensen's equality on averages Let $$y,\,z:[0,1]\rightarrow \mathbb{R}$$ be integrable functions. $$y\left(p\right)$$ is weakly increasing and positive ($$0 < y\left(p\right)\leq y\left(p'\right)$$ for $$0 \leq p\leq p'$$). Assuming that for any $$0, $$\int_0^p z\left(p'\right) dp'\geq 0$$ is it true t...
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Definition: We say that a vector of decision variables $\hat x^{*} \in F$ is Pareto optimal if there does not exist another $\hat x \in F$ such that $f(\hat x) \le f(\hat x^{*})$ for all $i = 1, \hdots k$ and $f_{j}(\hat x)< f_{j}(\hat x)$ for at least one j. In words, this definition says that $\hat x^{*}$ is Pareto op...
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# [NTG-context] footnotes are lost!! endnotes don't work ? (URGENT) Hans Hagen ntg-context@ntg.nl Fri, 09 Jan 2004 19:16:23 +0100 At 18:23 09/01/2004, you wrote: >Hi, > >as the commands "location=text" and "\placefootnotes" seemed to be >unproblematic I decided to edit a book in ConTeXt with footnotes as >endnotes - ...
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Synthetic division or Long division of polynomials? 1. Jul 20, 2007 streetmeat How do i know under which circumstances to use synthetic and when to just do regular polynomial division? do they not both give the same results? 2. Jul 20, 2007 Gib Z Yes, they give the same results. They are just 2 different methods ...
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Acta mathematica scientia,Series B ›› 2021, Vol. 41 ›› Issue (6): 2173-2182. • Articles • ### NOTES ON REAL INTERPOLATION OF OPERATOR Lp-SPACES Marius JUNGE1, Quanhua XU2 1. 1. Department of Mathematics, University of Illinois, Urbana, IL 61801, USA; 2. Institute for Advanced Study in Mathematics, Harbin Institute ...
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Full table of contents with truncated body I have lecture notes in beamer for my classes which I compile into a single document. I put an \end{document} after the last page that I've lectured from on a given day and then post the resulting document. I update this throughout the semester. The table of contents resulti...
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### FS94-01-028.pdf While they are very useful to diagnose typical cases, it is difficult for them to diagnose complicated cases. Therefore various approaches, such as deeper knowledge representation, case-based reasoning, are proposed in order to overcome this problem. However, they axe not sufficient to solve this p...
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# New operator definitions 2 Given the definition of two new operators, evaluate an expression that contains that operator. ### Problem The operations $\barwedge$ and $\odot$ are defined as follows: • $x \barwedge y = 2x^{2}-y^{2}$ • $x \odot y = x^{2}-3y^{2}$ Find $0 \barwedge (3 \odot 1)$.
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## 10.160 The Cohen structure theorem Here is a fundamental notion in commutative algebra. Definition 10.160.1. Let $(R, \mathfrak m)$ be a local ring. We say $R$ is a complete local ring if the canonical map $R \longrightarrow \mathop{\mathrm{lim}}\nolimits _ n R/\mathfrak m^ n$ to the completion of $R$ with respe...
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Question # The term "competent" refers to A Increasing the competition between cells B Making cells impermeable for DNA C Increasing the efficiency with which DNA enters the bacterium through pores in its cell wall D Making cells permeable for divalent cations Solution ## The correct option is C Increasing the effi...
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# Top Quark Physics with the CMS Experiment source: CMS/CERN The top quark is the heaviest elementary particle in the Standard Model of particle physics. Its mass is almost 180 times larger than that of a proton. The top quark was observed for the first time in 1995 at the Tevatron (Fermilab, Chicago) which provided ...
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# Equivalent conductivity of $Fe_2(SO_4)_3$ is related to molar conductivity by the expression $\begin{array}{1 1}\Lambda_{eq}=\Lambda_m\\\Lambda_{eq}=\Lambda_m/3\\\Lambda_{eq}=3\Lambda_m\\\Lambda_{eq}=\Lambda_m/6\end{array}$ Answer : $\Lambda_{eq}=\Lambda_m/6$ Since total charge of cations is 6+ in $Fe_2(SO_4)_3$,we...
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# Determining pole singularity vs. essential singularity? For the function $$f(z) = \frac{1}{z} + b$$ what type of singularity is $z = 0$? I would say that it is a pole singularity, as $|f(z)| \rightarrow \infty$ as $z \rightarrow z_0$, but a problem that I am looking at hints to apply Casorati-Weierstrass to $f$, w...
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SEARCH HOME Math Central Quandaries & Queries Question from Deb, a student: How do I find the degree measure of an arc in a circle with the Length of 14 and the radius of 70? Hi Deb, The circumference of a circle of radius 70 units is $2 \pi r = 2 \pi \times 70 = 439.82$ units. Your arc is only a fraction of the ci...
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# Parallel wires 1. Jan 30, 2005 ### decamij If you have two parallel wires, each producing a magnetic field, what would the direction of the magentic field be if: 1) Current flowed in the same direction in each wire. 2) Current flowed in opposite direction in each wire. 2. Jan 30, 2005 ### da_willem Do you know ...
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Documentation This is machine translation Translated by Mouse over text to see original. Click the button below to return to the English verison of the page. ltePMIInfo Precoder matrix indication reporting information Syntax • ``info = ltePMIInfo(enb,chs)`` example Description example ````info = ltePMIInfo(enb...
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# Excel Ranking function microsoft excel Can't find specific answer to this problem on other posts. I have a table with a list of vehicle registrations and a list of times for those vehicles. I want to give each row a rank based on the time allocated to a vehicle registration. Each registration will appear multiple ...
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# Synopsis: Raman thermometer for fermions #### Thermometry and signatures of strong correlations from Raman spectroscopy of fermionic atoms in optical lattices Jean-Sébastien Bernier, Tung-Lam Dao, Corinna Kollath, Antoine Georges, and Pablo S. Cornaglia Published June 10, 2010 Ultracold atoms in optical lattices ...
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Article # Analytical potential energy surfaces for N-3 low-lying doublet states Department of Chemistry and Cherry Logan Emerson Center for Scientific Computation, Emory University, 1515 Dickey Drive, Atlanta, Georgia 30322, USA. (Impact Factor: 3.12). 02/2009; 130(4):044313. DOI: 10.1063/1.3068742 Source: PubMed AB...
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## Signed sets and ballots, part 2 Recall, from my previous post, that our goal is to find a combinatorial proof showing the correspondence between signed sets and signed ballots, where a signed set is just a set of $n$ elements, considered positive or negative according to the parity of $n$, and a signed ballot is an...
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# Organizers: Ronghua Pan and Andrzej Swiech Meets Tuesdays at 4:30 pm in Skiles 255 unless otherwise indicated 01/11/05 No Talk. 01/18/05 Speaker: Ronghua Pan, Georgia Tech Title: Relativistic Euler Equations in (3+1)-Dimensional Spacetime Abstract: We study the local well-poseness and singularity formation of ...
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`ISRN Applied MathematicsVolume 2013 (2013), Article ID 935386, 6 pageshttp://dx.doi.org/10.1155/2013/935386` Research Article ## Common Fixed Point for Generalized Bose-Mukherjee-Type Fuzzy Mappings Mathematics and Information Technology School, Jiangsu Second Normal University, Nanjing 210013, China Received 17 Ma...
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Dear friends, Please read our latest blog post for an important announcement about the website. ❤, The Socratic Team # How many ways can 6 different books be arranged on a shelf? Then teach the underlying concepts Don't copy without citing sources preview ? Write a one sentence answer... #### Explanation Explain i...
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# borderline intelligence definition • noun: • the minimal IQ needed for you to definitely work ordinarily and separately in the world (without some form of institutional support) • the minimal IQ needed for someone to work usually and on their own in the world (without some form of institutional support) ## Related ...
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\angle B in \triangle ABC and \angle S in \triangle RST are right angles. The lengths of sides AC and RT are equ # Ask a Question ### Question Asked by a Student from EXXAMM.com Team Q 3031791622.     \angle B in \triangle ABC and \angle S in \triangle RST are right angles. The lengths of sides AC and RT are equal. ...
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First time of my life I solved a problem in a real CTF! Though it is a pretty easy one, it means something to me. ## Problem Description In the Hack.lu CTF website, there are some description about “Gunslinger Joe’s private Terminal”: Gunslinger Joe's private Terminal by cutz (Misc) 50 (+20) Points Gunslinger Joe ha...
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## GNU Astronomy Utilities #### 7.4.3.1 Magnitude measurement error of each detection The raw error in measuring the magnitude is only meaningful when the object’s magnitude is brighter than the upper-limit magnitude (see below). As discussed in Brightness, Flux, Magnitude and Surface brightness, the magnitude ($$M$$...
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{\displaystyle X} Imbedding theorems). n in $H$ A.N. on the closure of these linear subspaces. Active 21 days ago. e _ {2} = In a space $L _ {2} ( S, \Sigma , \mu )$ 0 $$. {\displaystyle \{x_{n}\}_{n=1}^{\infty }} {\displaystyle x_{n}\in U_{n}} The Gram-Schmidt orthonormalization proves that every separable Hilbert spa...
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# zbMATH — the first resource for mathematics The 3 and 4-dichromatic tournaments of minimum order. (English) Zbl 0829.05028 Author’s abstract: The dichromatic number $$\text{dc} (D)$$ of a digraph $$D$$ is the minimum number of acyclic sets in which $$V(D)$$ can be partitioned. If $$\text{dc}(D) = r$$, $$D$$ is calle...
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# Synthesis, crystal structure and magnetic properties of polymeric tetrakis(pyrazolyl)borate copper(II) complexes Thomas, Anitha M and Mukherjee, Arindam and Saha, Manas K and Nethaji, Munirathinam and Chakravarty, Akhil R (2004) Synthesis, crystal structure and magnetic properties of polymeric tetrakis(pyrazolyl)bor...
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The Relation between Adjoint and Inverse of a Matrix. 3x3 identity matrices involves 3 rows and 3 columns. A frequent misuse of inv arises when solving the system of linear equations Ax = b. print(np.allclose(np.dot(ainv, a), np.eye(3))) Notes Subtraction was defined in terms of addition and division was defined in ter...
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# An equation that generates a beautiful or unique shape for motivating students in mathematics Could anyone here provide us an equation that generates a beautiful or unique shape when we plot? For example, this is old but gold, I found this equation on internet: $$\large\color{blue}{ x^2+\left(\frac{5y}{4}-\sqrt{|x|}...
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# Relation between MAP, EM, and MLE I am a beginner in machine learning. I can do programming fine but the theory confuses me a lot of the times. What is the relation between Maximum Likelihood Estimation (MLE), Maximum A posteriori (MAP) estimate, and Expectation-Maximization (EM) algorithm? I see them used as the ...
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Hi people. I was just wondering if I can use _LINE_( by including some header file or so) in devc++ to get the source code line number or _TIMESTAMP_ to get the compile time timestamp. If not is there an alternative? I see compile time errors when I use them in my programs.
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### Solar Science with the Atacama Large Millimeter/Submillimeter Array — A New View of Our Sun by S. Wedemeyer 2017-03-14 The Atacama Large Millimeter/submillimeter Array (ALMA), which consists of 66 antennas placed on the Chajnantor plateau in the Chilean Andes, has already produced impressive results for a large r...
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# The Titan with a vision of the future Long, long ago, a Titan named Helius had a vision of the earth's future: somewhere in the future the Vogons would come and destroy earth to construct a new intergalactic highway. Fearing of this, Helius flew into the sky and attained a zero velocity w.r.to earth (Gravity does no...
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← Back to Search # Adsorption Of Single Cu Atoms At Differently Stabilized Polar ZnO Surfaces: An Ab Initio Study Ilka Hegemann, Andreas Schwaebe, K. Fink Published 2008 · Chemistry, Computer Science, Medicine In this study, the adsorption of a single Cu atom on the polar ZnO(0001) and ZnO(000$\overline{1}$) surface...
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# Quantum cloning Quantum cloning is a process that takes an arbitrary, unknown quantum state and makes an exact copy without altering the original state in any way. Quantum cloning is forbidden by the laws of quantum mechanics as shown by the no cloning theorem, which states that there is no operation for cloning any...
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# Tags A tag is a keyword or label that categorizes your question with other, similar questions. Using the right tags makes it easier for others to find and answer your question. Type to find tags: shm× 6 shockwave short-circuits× 6 sigma-models× 5 signal-processing× 55 simulation× 210 singularities× 3 for question...
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# Évariste Galois (Redirected from Galois) "Galois" redirects here. For other uses, see Gallois (disambiguation). Évariste Galois A portrait of Évariste Galois at the age of about 15 Born 25 October 1811 Bourg-la-Reine, French Empire Died 31 May 1832 (aged 20) Paris, Kingdom of France Nationality French Fields Mathema...
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# News this Week Science  20 Aug 2004: Vol. 305, Issue 5687, pp. 1088 1. HUMAN SUBJECTS RESEARCH # Pediatric Study of ADHD Drug Draws High-Level Public Review 1. Jennifer Couzin A trial that would give healthy children an amphetamine is prompting heated debate among pediatricians and bioethicists. A divided review ...
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oxidricasbt7 2022-12-20 Eigenvalues of a $2×2$ matrix A such that ${A}^{2}=I$ I have no idea where to begin. I know there are a few matrices that support this claim, will they all have the same eigenvalues? Kendall Cortez Expert If v is an eigenvector of A with eigenvalue $\lambda$, then $v=Iv={A}^{2}v=A\left(Av\r...
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# Determining susceptibility to frequency analysis I'm looking to create some tokens using a keyed hash mechanism to represent our individual customers. I was planning on using combinations of the customer's personal information (e.g. H(Firstname,Surname,DOB)) in the token to prevent frequency analysis, but is there s...
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# Linear functionals clarification I'm looking at a definition for linear functionals on a vector space. It says it's a scalar valued function and then states the linearity condition. I've just been looking at some exercises in a book and I was narrowing down which ones were functionals. question: when it says 'scala...
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Sign up for our free STEM online summer camps starting June 1st!View Summer Courses ### The following diagram represents the collection o… 00:58 Auburn University Main Campus Need more help? Fill out this quick form to get professional live tutoring. Get live tutoring Problem 2 The following diagram shows the comb...
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# An Elementary Problem Can you find the Solution? #### Sunday, May 3, 2015 · 5 min read This is The Awesome Elements Problem. I wrote it for my AP Computer Science class, but I decided to put it up here because I think it’s pretty, uh, elementary. Perhaps more than the actual problem, I love the bonus problems at ...
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Rename an item within the data slot of an oce object, also changing dataNamesOriginal in the metadata slot, so that the [[ accessor will still work with the original name that was stored in the data. oceRenameData(object, old, new, note = "") ## Arguments object an oce object. character value that matches the name o...
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# How do you solve 3y – 4 = 2y – 5? Jan 22, 2016 $3 y - 4 = 2 y - 5$ Subtract $\textcolor{p u r p \le}{2} y$ from both sides $\implies 3 y - \textcolor{p u r p \le}{2} y - 4 = 2 y - \textcolor{p u r p \le}{2} y - 5$ $\implies y - 4 = - 5$ Add $\textcolor{b l u e}{4}$ on both sides $\implies y - 4 + \textcolor{b ...
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# A particular subset of row-orthogonal matrices Let $O\in\mathbb{R}^{n\times m}$, $m>n$, be a matrix with orthonormal rows, that is $O O^\top =I_n$, where $\bullet^\top$ denotes transposition and $I_n$ the $n\times n$ identity matrix. Partition $O$ as follows $$O=\left[O_1 | O_2\right],$$ where $O_1\in\mathbb{R}^{n\t...
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# Evaluate $\sin(\frac{\pi}{8})$ and $\cos(\frac{\pi}{8})$ Evaluate $\sin(\frac{\pi}{8})$ and $\cos(\frac{\pi}{8})$ I was just wondering what I am doing wrong, as I don't seem to be arriving at the correct answer for $\sin(\frac{\pi}{8})$ What I did: Let $\theta = \frac{\pi}{8}$ $\cos(2\theta) = 2\cos^2(\theta) - ...
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Requests for technical support from the VASP group should be posted in the VASP-forum. # Determining the Magnetic Anisotropy Description: Magnetocrystalline Anisotropy Energy determined non-self-consistently The Magnetocrystalline Anisotropy Energy is determined by rotating all spins according to different direction...
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# Formula unit mass for ${K_2}C{O_3}$ is.A) $140$ B) $138$.C) $120$.D) $125$. Verified 119.7k+ views Hint:We know that Mass is both a property of an actual body and a proportion of its protection from speeding up (an adjustment in its condition of movement) when a net power is applied. An article's mass likewise decid...
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# Limit on Invisible ${{\boldsymbol A}^{0}}$ (Axion) Electron Coupling INSPIRE search The limit is for $\mathit G_{ {{\mathit A}} {{\mathit e}} {{\mathit e}} }\partial{}_{{{\mathit \mu}}}\phi _{\mathit A}{{\overline{\mathit e}}}\gamma {}^{\mu }\gamma _{5}{{\mathit e}}$ in GeV${}^{-1}$, or equivalently, the dipole-dipo...
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# If you take the reciprocal in an inequality, would it change the $>/<$ signs? Example:$$-16<\frac{1}{x}-\frac{1}{4}<16$$ In the example above, if you take the reciprocal of $$\frac{1}{x}-\frac{1}{4} = \frac{x}{1}-\frac{4}{1}$$ would that flip the $<$ to $>$ or not? In another words, if you take the reciprocal of $...
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Under the auspices of the Computational Complexity Foundation (CCF) REPORTS > KEYWORD > SANTHA-VAZIRANI SOURCES: Reports tagged with Santha-Vazirani Sources: TR14-179 | 20th December 2014 Salman Beigi, Omid Etesami, Amin Gohari #### Deterministic Randomness Extraction from Generalized and Distributed Santha-Vazirani ...
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### On the behavior at infinity of certain integral operator with positive kernel #### Abstract Let $\alpha>0$ and $\gamma>0$. We consider integral operator of the form $${\mathcal{G}}_{\phi_\gamma}f(x):=\frac{1}{\Psi_\gamma (x)}\int_0^x (1-\frac{y}{x})^{\alpha-1}\phi_\gamma(y) f(y)dy \quad x>0.$$ This paper is devot...
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# kyoto-univerisity-exam-eye-catch • If a Matrix is the Product of Two Matrices, is it Invertible? (a) Let $A$ be a $6\times 6$ matrix and suppose that $A$ can be written as $A=BC,$ where $B$ is a $6\times 5$ matrix and $C$ is a $5\times 6$ matrix. Prove that the matrix $A$ cannot be invertible. (b) Let $A$ be a $2\ti...
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# Parametric definition for a complex integral by thayin Tags: complex, definition, integral, parametric P: 4 I have been working in complex functions and this is a new animal I came across. Let γ be a piecewise smooth curve from -1 to 1, and let A=∫γa(x2-y2) + 2bxy dz B=∫γ2axy - b(x2-y2) dz Prove A + Bi = (2/3)(a-bi...
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## Pythagorean Theorem – Cool Proof I was taken with a “Proof Without Words” of Ptolemy’s Theorem by William Derrick and James Hirstein in an old(Nov 2012) edition of The College Mathematics Journal.  I had this vision of triangles expanding and rotating into place to form a parallelogram.  What a neat proof! I wanted...
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### Radius of Gyration For a planar distribution of mass rotating about some axis in the plane of the mass, the radius of gyration is the distance from the axis that all mass can be concentrated to obtain the same mass moment of inertia. Thus, the radius of gyration is the equivalent distance'' of the mass from the ax...
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# Circulations in Digraphs Let G be a digraph and $\phi$ be a circulation, $\phi(e) \ge 0$ an integer, i.e., $\displaystyle\sum\limits_{e\in\delta^{-}(v)} \phi(e) = \displaystyle\sum\limits_{e\in\delta^{+}(v)} \phi(e), \; \; \forall \; v \in V(G)$ Prove that there exists a set of directed cycles $C_{1}, C_{2},....,C...
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# Convexity of a Function by Izzhov Tags: convexity, function P: 998 A (twice-differentiable) function is concave at a point if its second derivative is negative at that point. Similarly a function is convex at a point if its second derivative is positive at that point. You can extend the definition to functions that...
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## CryptoDB ### Paper: An Efficient SPRP-secure Construction based on Pseudo Random Involution Authors: Mridul Nandi URL: http://eprint.iacr.org/2008/092 Search ePrint Search Google Here we present a new security notion called as pseudo random involution or PRI which are associated with tweakable involution encipheri...
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# Is the map assigning $x$ to its tangent space smooth? I'm having some difficulties understanding smooth maps between manifolds, and in particular I would like to know if the map $$x \mapsto T_{x}M$$ is a smooth map $$M\to Gr(k,n)$$? Here $$x \in M$$, where $$M$$ is a $$k$$-dimensional manifold in $$\mathbb{R}^{n}$$....
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What is the center of a semidirect product? Let $G_1$ and $G_2$ be groups. Let $\varphi:G_2\rightarrow \operatorname{Aut}(G_1)$ be a group homomorphism defining the semidirect product $G_1 \rtimes G_2$. Determine the center $\operatorname{Z}(G_1 \rtimes G_2)$. - Denote by $\varphi_g$ the automorphism of $G_1$ associ...
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# 1 Introduction CHiCAGO is a method for detecting statistically significant interaction events in Capture HiC data. This vignette will walk you through a typical CHiCAGO analysis. A typical Chicago job for two biological replicates of CHi-C data takes 2-3 h wall-clock time (including sample pre-processing from bam f...
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# Recipe 6: Error-trim reads using streaming k-mer abundance trimming¶ This is a recipe for trimming your reads at low-abundance k-mers, as described in These are not the k-mers you are looking for: efficient online k-mer counting using a probabilistic data structure. Unlike the filter-abund script used in that paper,...
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# Least Common Multiple of 3 modulo equations i%7=1 -> i=1+7n i%9=2 -> i=2+9n i%11=3 -> i=3+11n Besides writing out everything: 1,8,15,22... 2,11,20,29... 3,14,25,36... to find the LCM. Is there a better way to do this? - Chinese remainder theorem – MJD Sep 11 '12 at 2:18 In general, you should use the ...
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# Tooltip for a ListPlot3D I am getting stuck with figuring out how to use Tooltip for a ListPlot3D. Basically I have a list of values for the 3D plot (no table or function) and would like to have the Tooltip return the x, y and z coordinates for the point. Here is the code for the Plot that I would like to have "too...
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A data frame with an example of raw consistency test data that are compatible with the synr package's create_participantgroup' function. The color and 'symbol' data are from five actual participants who did a test that included all letters, digits and weekdays, with 3 trials per grapheme. The response times are randoml...
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Changes for 0.63¶ Dates are now represented internally as float days since 0001-01-01, UTC. All date tickers and formatters are now in matplotlib.dates, rather than matplotlib.tickers converters have been abolished from all functions and classes. num2date and date2num are now the converter functions for all date plo...
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# More results on a CNL for isiZulu Although it has been a bit quiet here on the controlled natural languages for isiZulu front, lots of new stuff is in the pipeline, and the substantially extended version of our CNL14 and RuleML14 papers [1,2] is in print for publication in the Language Resources and Evaluation journ...
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# NIELIT 2019 Feb Scientist D - Section D: 1 149 views In a swimming-pool $90$ m by $40$ m, $150$ men take a dip. If the average displacement of water by a man is $8$ cubic metres, what will be rise in water level ? 1. $30$ cm 2. $33.33$ cm 3. $20.33$ cm 4. $25$ cm recategorized Ans : Option B 172 points 1 4 Let '...
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### Probability Archives for Academic Year 2017 #### Quasi-linear parabolic PDE's with singular inputs When: Wed, September 27, 2017 - 11:00am Where: Kirwan Hall 3206 Speaker: Scott Andrew Smith (Max Plank Institute, Leipzig) - Abstract: The present talk is concerned with quasi-linear parabolic equations which are il...
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# Conditions for the sequence being weakly convergent Let $H=\ell_2$ be the Hilbert space of the square-summable sequences where $$\langle x,y\rangle=\sum_{i=1}^{\infty}x_iy_i, \quad \|x\|=\sqrt{\langle x,x\rangle}.$$ Let $F: H\rightarrow H$ be an affine mapping, i.e. $$F[\lambda u+(1-\lambda)v]=\lambda F(u)+(1-\lambd...
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# Statistical difference between multiple groups using percentage data I have 3 groups of data. Group 1 contains 11 values, group 2 contains 7 and group 3 contains 11 values. The values are in the form of 'percentage change over time'. I would like to test to see if the groups averages are statistically different fro...
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# Fluid mechanics question--slip boundary condition for gas? 1. Jan 3, 2015 ### Yinxiao Li In solving the Navier Stokes equation, the typical boundary condition imposed on the tangential velocity at a solid surface is that of no-slip. However, it is known that for gaseous flow there always exists a non-zero velocity...
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World's most popular travel blog for travel bloggers. [Solved]: Resolving this recurrence equation , , Problem Detail: I have this recurrence equation: $T(n) = T(n/4) + T(3n/4) + \mathcal{O}(n)$ $T(1) = 1$ I know that the result is $\mathcal{O}(n \log n)$ but i don't know how to proceed. Construct a recursion tr...
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Finding popular branchings in vertex-weighted digraphs Popular matchings have been intensively studied recently as a relaxed concept of stable matchings. By applying the concept of popular matchings to branchings in directed graphs, Kavitha et al. (2020) introduced popular branchings. In a directed graph G=(V_G,E_G), ...
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# implicit Partial differentiation • Jan 3rd 2012, 05:19 PM gotFermi implicit Partial differentiation Hi, I have a problem that has to do with implicit partial differentiation. I was wondering how I could solve it using Jacobian determinants, if not possible, then a straight forward approach is okay. Here we go! Give...
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Understanding through Discussion QuickSearch EvC Forum active members: 61 (9107 total) 4 online now: Newest Member: sensei Post Volume: Total: 907,526 Year: 4,407/14,231 Month: 1,122/2,209 Week: 286/324 Day: 19/39 Hour: 0/2 EvC Forum Science Forums Big Bang and Cosmology Creation cosmology and the Big Bang # Summ...
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Chapter 9 Quadratic Relations and Conic Sections - 9.4 Graph and Write Equations of Ellipses - 9.4 Exercises - Skill Practice - Page 637: 15 See below. Work Step by Step He mixed up the minor and major axis. The x-intercepts should be $-2,2$, and the y-intercepts should be $-4,4$. After you claim an answer you’ll h...
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Untitled ### Introduction¶ A somewhat neglected model in the Data Science/Machine Learning community are Multivariate Adaptive Regression Splines (MARS). Despite being less popular than Neural Networks or Trees, I find the concept of MARS pretty interesting, especially because it comes as a fully linear model and thu...
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For Any Two Sets a and B, Prove the Following: a ∩ ( a ∪ B ) ′ = ϕ - Mathematics For any two sets A and B, prove the following: $A \cap \left( A \cup B \right)' = \phi$ Solution $LHS = A \cap \left( A \cup B \right)'$ $= A \cap \left( A' \cap B' \right)$ $= \left( A \cap A' \right) \cap \left( A \cap B' \right)$ $=...
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# How do you find the domain of y = 3 - sqrtx? Domain: $x \ge 0$ or $\left[0 , \infty\right)$ $y = 3 - \sqrt{x}$ Domain: under root to be $\ge 0$. So Domain is $x \ge 0$. In interval notation: $\left[0 , \infty\right)$
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# Find the limit and derivative of integral function. $\psi_m(x)$ is defined as $$\int_0^{\ln|x|}e^{mt}\sin(t)^m\mathop{dt}$$ with $m$ a natural number greater then zero. Now the question is, does $\lim\limits_{x\to 0}\psi_m(x)$ exist. I've tried using the squeeze theorem using $-1\leq \sin(t)^m\leq 1$ and this result...
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# Proton acceleration in pulsar magnetospheres @article{Gupin2019ProtonAI, title={Proton acceleration in pulsar magnetospheres}, author={Claire Gu{\'e}pin and Ben{\^o}ıt Cerutti and Kumiko Kotera}, journal={arXiv: High Energy Astrophysical Phenomena}, year={2019} } • Published 2019 • Physics • arXiv: High Energy Astro...
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# Short lattice vectors orthogonal to a random vector Let $N$ be some prime number. Suppose I draw $s$ elements $g_1,..., g_s$, where each $g_i\in [N]$ is taken uniformly from some interval $I_i$ of size, say $\sqrt{N}$. Is it possible to provide a lower-bound (which works on average, or w.h.p.) on the minimal length...
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# Decreasing Combinations of Stieltjes Coefficients I have noticed that if we take the Laurent expansion of the Riemann zeta function about $s=1$ $$\zeta(s) = \frac{1}{s-1} + \sum_{n=0}^\infty \frac{(-1)^n}{n!}\gamma_n (s-1)^n$$ which defines $\gamma_n$, the Stieltjes constants, where $\gamma_0$ is the Euler-Mascheron...
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American Institute of Mathematical Sciences April  2021, 26(4): 1867-1887. doi: 10.3934/dcdsb.2020363 Delay-induced spiking dynamics in integrate-and-fire neurons 1 Department of Applied Mathematics, National Pingtung University Pingtung, Taiwan, R.O.C., No.4-18, Minsheng Rd., Pingtung City, Pingtung County 90003, ...
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## Simple four steps to get the HTML files from your python code You just need four steps. • Execute sphinx_quickstart, and make sure that you check autodoc mode on:> autodoc: automatically insert docstrings from modules (y/N) [n]: y • Execute sphinx-apidoc -o . ../src/ • Execute make html Now, you will have your pyth...
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## ML Aggarwal Class 10 Solutions for ICSE Maths Chapter 3 Shares and Dividends Chapter Test Question 1. If a man received ₹1080 as dividend from 9% ₹20 shares, find the number of shares purchased by him. Solution: Question 2. Find the percentage interest on capital invested in 18% shares when a Rs 10 share costs Rs ...
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# Talk:Halton Arp ## LISA LISA could give further anwers about their locality, or could it not?Slicky 10:25, 2 April 2006 (UTC) ## General Non-Acceptance of QSO Theory Previous renditions of this entry gave the misleading impression that Arp's QSO theory still has some acceptance in the science community. I have tr...
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# Academic Treatment of Hinduism – California Department of Education 0 1393 What is particularly harmful is the adhikara (or authority and ownship) representation of religions. In general, it is the authorities within the Abrahamic religions that have a say in what goes in the text books. However, that is not true f...
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# A horizontal thin glass slide with flat surfaces has thickness tand refractive index n = 1.40. The slide is surrounded ###### Question: A horizontal thin glass slide with flat surfaces has thickness t and refractive index n = 1.40. The slide is surrounded by air. The slide is illuminated at normal incidence by ligh...
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