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http://mathhelpforum.com/advanced-applied-math/14826-4-vectors.html
## 4 vectors Let us define 4 vector by 4 co-ordinates (x1,x2,x3,x4) where (x1,x2,x3) are space components (like x,y,z) and x4 is related to time as x4=ict.Express the following equations in tensor notation. (i)The continuity equation: div J+(del*rho/del t)=0 (ii)The wave equation laplacian ø-(1/c^2) [del^2 ø/del t^2...
2016-10-22T02:08:27
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https://2021.help.altair.com/2021.2/winprop/topics/winprop/user_guide/proman/propagation_models/indoor_empirical_models_cost_multiwall.htm
# COST-Multi-Wall Model (MW) The multi-wall model gives the path loss as the free space loss added with losses introduced by the walls and floors penetrated by the direct path between transmitter and receiver. It has been observed that the total floor loss is a function of the number of the penetrated floors. This ch...
2023-01-28T16:21:39
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https://ask.sagemath.org/answers/36345/revisions/
Revision history [back] Regarding the first error, it is fortunate that Sage does not preparse what is inside a string (if it was the case before 7.3, then it was a huge bug). If you want your code withing a string to be preparsed, just use the perparse Sage function, for example: sage: var('a x') (a, x) sage: print ...
2019-09-16T02:34:26
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https://ita.skanev.com/10/01/02.html
# Exercise 10.1.2 Explain how to implement two stacks in one array $A[1..n]$ in such a way that neither stack overflows unless the total number of elements in both stacks together is $n$. The PUSH and POP operations should run in $\O(1)$ time. The first stack starts at $1$ and grows up towards $n$, while the second s...
2020-01-23T13:19:04
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http://sagemath.org/doc/reference/plane_curves/sage/schemes/elliptic_curves/gal_reps.html
# Galois representations attached to elliptic curves¶ Given an elliptic curve $$E$$ over $$\QQ$$ and a rational prime number $$p$$, the $$p^n$$-torsion $$E[p^n]$$ points of $$E$$ is a representation of the absolute Galois group $$G_{\QQ}$$ of $$\QQ$$. As $$n$$ varies we obtain the Tate module $$T_p E$$ which is a a re...
2014-12-22T10:38:09
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https://math.stackexchange.com/questions/1898536/related-rates-hot-air-balloon
Related Rates Hot Air Balloon I have a related rates problem on a hot air balloon that is rising and I am asked to determine the rate of change in the angle. I'm having difficulties developing a relationship. Here is the question: So far my attempt at this question is the following and I am unsure if it's correct or...
2020-01-27T00:23:25
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http://motls.blogspot.com/2011/12/kronecker-levi-civita-stieltjes.html
## Wednesday, December 28, 2011 ... ///// ### Kronecker, Levi-Civita, Stieltjes: jubilees Three famous mathematicians were born or died on December 29th, in a year ending with a "1" or "6": Leopold Kronecker was born in Legnica, Poland – which belonged to Prussia at that time – to a Jewish family. Once he learned so...
2017-04-23T21:31:23
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https://scicomp.stackexchange.com/questions/26395/how-to-start-using-lapack-in-c/26396
# How to start using LAPACK in c++? I'm new to computational science and I already have learned basic methods for integration, interpolation, methods like RK4, Numerov etc on c++ but recently my professor asked me to learn how to use LAPACK for solving problems related to matrices. Like for example finding eigenvalues...
2022-08-17T07:26:29
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https://tretiykon.livejournal.com/226480.html
Вот почему лазерные технологии это приоритет для физики It goes without saying that a chemical bond requires, at the bare minimum, two consenting atoms. But a proposed experiment might reduce that requirement to just one, providing researchers with a new perspective on unusual chemical bonds. Matthew Eiles and colleag...
2021-10-19T02:48:20
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http://pom-co.com/core-in-ydo/power-rule-proof-e8dfa0
Combining the power rule with the sum and constant multiple rules permits the computation of the derivative of any polynomial. This proof is validates the power rule for all real numbers such that the derivative . The Power Rule, one of the most commonly used rules in Calculus, says: The derivative of x n is nx (n-1) E...
2021-04-11T06:49:32
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https://math.stackexchange.com/questions/2112714/if-independent-centered-x-n-obeys-the-weak-law-of-large-numbers-then-the-sequ
# If independent centered $X_n$ obeys the weak law of large numbers, then the sequence $n^{-1}X_n$ converges in probability to $0$. Let $X_n$ be an independent sequence of centered, integrable real random variables on $(\Omega, \mathcal{A}, P).$ Show that if $X_n$ obeys the weak law of large numbers, then the sequence...
2019-04-23T12:40:42
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http://mathhelpforum.com/calculus/66535-differential-eqn-s.html
# Math Help - Differential Eqn's 1. How do you find a particular solution to a second order DE with constant coefficients using linear operators? Does the inputs have to be either e, sin, cos or always some combination of them to use linear operators? Also, is there a general method for solving second order homogeneo...
2014-10-31T05:39:44
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http://math.stackexchange.com/questions/104528/int-dx-x10000-1
# $\int dx/(x^{10000}-1)$ Is there any way to evaluate this indefinite integral using pencil and paper? A closed-form solution exists, because $1/(x^{10000}-1)$ can be expressed as a partial fraction decomposition of the form $\sum c_m/(x-a_m)$, where the $a_m$ are the 10,000-th roots of unity. But brute-force computa...
2015-11-30T06:17:48
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https://carma.newcastle.edu.au/event.php?n=341
CARMA SEMINAR Speaker: Kevin Hare, University of Waterloo Title: An explicit counter-example to the Lagarias-Wang finiteness conjecture Location: Room V129, Mathematics Building (Callaghan Campus) The University of Newcastle Time and Date: 4:00 pm, Thu, 28th Feb 2013 Abstract: The joint spectral radius of a finite set ...
2021-03-07T22:08:40
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https://en.wikipedia.org/wiki/%ce%a3-finite
# σ-finite measure (Redirected from Σ-finite) In mathematics, a positive (or signed) measure μ defined on a σ-algebra Σ of subsets of a set X is called finite if μ(X) is a finite real number (rather than ∞). The measure μ is called σ-finite if X is the countable union of measurable sets with finite measure. A set in ...
2016-12-08T14:32:08
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https://cdsweb.cern.ch/collection/Published%20Articles?ln=ru
Published Articles Последние добавления: 2015-06-30 08:09 Getting Humans to do Quantum Optimization - User Acquisition, Engagement and Early Results from the Citizen Cyberscience Game Quantum Moves / Lieberoth, Andreas ; Pedersen, Mads Kock ; Marin, Andreea Catalina ; Planke, Tilo ; Sherson, Jacob Friis The game Quan...
2015-07-02T09:49:27
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https://www.lmfdb.org/ModularForm/GL2/Q/holomorphic/378/2/d/a/
# Properties Label 378.2.d.a Level 378 Weight 2 Character orbit 378.d Analytic conductor 3.018 Analytic rank 0 Dimension 4 CM no Inner twists 4 # Related objects ## Newspace parameters Level: $$N$$ = $$378 = 2 \cdot 3^{3} \cdot 7$$ Weight: $$k$$ = $$2$$ Character orbit: $$[\chi]$$ = 378.d (of order $$2$$, degree ...
2020-05-26T07:00:51
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https://mathematica.stackexchange.com/questions/134662/how-do-i-defer-evaluate-in-conditional-expressions-when-the-arguments-are-list-e
# How do I defer evaluate in conditional expressions when the arguments are list elements? I'm trying to take a conditional expression like "3 > 1" as an argument for a function but without its evaluation before being passed. HoldForm works fine in situations like this: *In[1]:=* 3 > 1 *Out[1]=* True *In[2]:=* 3...
2019-08-24T07:55:10
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http://physics.stackexchange.com/questions/63101/infinite-reflection-of-light-and-the-conservation-of-energy-momentum
# Infinite reflection of light and the conservation of energy / momentum First off, I confess I'm no physicist, but I have been asking people with a more extensive knowledge this one question, without a definitive answer so far. Basically, I'm playing around with the idea of photons having mass as this part of the wik...
2015-11-30T06:18:51
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https://web2.0calc.com/questions/the-solids-are-similar-find-the-volume-v-of-the-red-solid
+0 # The solids are similar. Find the volume V of the red solid. 0 122 1 The solids are similar. Find the volume V of the red solid. Mar 10, 2021 #1 +498 0 The height of the blue pyramid is: $$\frac{5292 \cdot 3}{21^2} = \frac{15876}{441} = 36$$ $$\frac{21}{7} = 3$$ which means the height of the red pyramid is j...
2021-04-20T17:37:40
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http://mathhelpforum.com/advanced-statistics/97251-mgf.html
1. mgf $\displaystyle p=(X=k)=\left\{\begin{array}{cc}p(1-p)^{k-1}&\mbox{k=1,2,3...} \\ 0 & \mbox{ elsewhere } \end{array}\right. \\ \mbox{ where } 0<p<1 \\$ how do I show that i)$\displaystyle M_x(t)=\frac{pe^t}{1-(1-p)e^t}$ ii)use the mgf to find the mean and variance of X and iii) find P(X + Y = 2)? I'm lost wi...
2018-04-25T16:46:54
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http://wiki-125336.winmicro.org/taylor-polynomial-remainder-error.html
# Taylor Polynomial Remainder Error ## Contents It's a first degree polynomial, take a then it has a linear approximation at the point a. ERROR BOUND - Duration: 34:31. it must hold for every positive integerk. http://wiki-125336.winmicro.org/tax-error-letters-2011.html Transcript The interactive transcript Taylor S...
2019-03-23T01:23:16
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https://puzzling.stackexchange.com/questions/71669/its-a-serious-game-when-six-packs-are-at-stake
# It's a serious game when six-packs are at stake I'm playing a small-stakes game of a casino poker variant called Okay You Can Stop Holding 'Em. The rules are simple: the player and the house are both dealt two cards face down, there is a round of betting, then one community card is dealt face up on the table, follow...
2019-11-21T00:39:49
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https://socratic.org/questions/how-do-you-find-the-derivative-of-sin-2-lnx
How do you find the derivative of sin^2(lnx)? Nov 1, 2015 Recall that ${\sin}^{2} \left(\ln x\right) = {\left[\sin \left(\ln x\right)\right]}^{2}$ and use the chain rule twice. Explanation: $\frac{d}{\mathrm{dx}} \left({\sin}^{2} \left(\ln x\right)\right) = \frac{d}{\mathrm{dx}} \left({\left[\sin \left(\ln x\right)...
2022-07-06T01:42:19
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http://cms.math.ca/cmb/kw/group%20of%20self%20homotopy%20equivalences
Canadian Mathematical Society www.cms.math.ca location:  Publications → journals Search results Search: All articles in the CMB digital archive with keyword group of self homotopy equivalences Expand all        Collapse all Results 1 - 1 of 1 1. CMB 2007 (vol 50 pp. 206) Golasiński, Marek; Gonçalves, Daciberg Lim...
2014-11-28T12:17:38
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https://learn.careers360.com/ncert/question-estimate-the-distance-for-which-ray-optics-is-good-approximation-for-an-aperture-of-4-mm-and-wavelength-400-nm/
# Q10.10 Estimate the distance for which ray optics is good approximation for an aperture of 4 mm and wavelength 400 nm. Given Aperture $a=4mm=4*10^{-3}m$ Wavelength of light  $\lambda =400nm=400*10^{-9}m$ Now, Distance for which ray optics is a good approximation also called Fresnel's distance: $Z_f=\frac{a^2}{\...
2020-09-19T09:42:33
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http://mathematica.stackexchange.com/questions/57782/how-to-define-a-nestable-baseform-function-baseform-output-becomes-baseform-inp
# How to define a nestable Baseform function, BaseForm output becomes BaseForm input Mathematica won't change a number's BaseForm recursively: 63969 // BaseForm[#, 16] & // BaseForm[#, 8] & // BaseForm[#, 2] & Well, I inspected former answers, most of them treated formatting problems, but none of the anwers given t...
2015-09-02T17:04:41
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https://www.ias.ac.in/listing/bibliography/jess/SUMER_CHOPRA
• SUMER CHOPRA Articles written in Journal of Earth System Science • A local magnitude scale $M_{L}$ for the Saurashtra horst: An active intraplate region, Gujarat, India The calibration of local magnitude scale to local tectonics is essential for seismic hazard assessment and quantifying the seismicity in active re...
2023-01-29T02:47:16
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https://mookiedesign.com/relocating-croplands-could-drastically-reduce-the-environmental-impacts-of-global-food-production.html
October 4, 2022 Unlimited Design for All # Relocating croplands could drastically reduce the environmental impacts of global food production We use the notation in Table 1. ### Current crop production and areas, Pi(x), Hi(x) We used 5-arc-minute maps of the fresh-weight production Pi(x) (Mg year−1) and cropping ar...
2022-10-04T02:58:59
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https://www.tutorke.com/lesson/5085-figure-1-shows-the-path-of-array-of-yellow-light-through-a-glass-prism-the-speed-of-yellow-light-in.aspx
Get premium membership and access revision papers with marking schemes, video lessons and live classes. OR # Form 3 Physics Refraction of Light Questions and Answers Figure 1 shows the path of array of yellow light through a glass prism. The speed of yellow light in the prism is 1.88 x 10^8 m/s. (a) Determine the re...
2023-01-27T21:18:40
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https://scicomp.stackexchange.com/questions/25559/using-two-reference-values-for-a-scalar-variable-whats-the-name-of-this-type-o
# Using two reference values for a scalar variable: What's the name of this type of problem? I don't really know where to ask this one... In fact, I am not sure I can define it properly. Here goes... Let's say I take measurements. In order to "normalize" these measurements, I divide their values by a reference meas...
2021-07-31T22:02:21
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https://mersenneforum.org/showpost.php?s=0177fd1089cd957cce5771c3f5e3dbc4&p=558295&postcount=1
View Single Post 2020-09-30, 02:11 #1 jshort   "James Short" Mar 2019 Canada 17 Posts alternative 2nd stage of p-1 factoring algorithm Suppose we're factoring an integer via the p-1 method and we've already completed the first stage ie. $L = a^{B!} mod(n)$ where $n$ is the composite we wish to factor. In the 2nd stage...
2022-01-27T00:29:09
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https://www.enotes.com/homework-help/n-cos-pin-n-2-determine-convergence-divergence-794176
# `a_n=cos(pin)/n^2` Determine the convergence or divergence of the sequence with the given n'th term. If the sequence converges, find its limit. `cos(pi n)={(1 if n=2k-1),(-1 if n=2k):},` `k in ZZ` i.e. it is equal to `1` for odd `n` and `-1` for even `n.` Therefore, we can break this into two cases. `n=2k-1` (n is ...
2022-11-30T08:09:27
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https://projecteuclid.org/euclid.rae/1337001365
## Real Analysis Exchange ### Characterizing Derivatives by Preimages of Sets Krzysztof Ciesielski #### Abstract In this note we will show that many classes $\mathcal{F}$ of real functions $f\colon {\mathbb R}\to\mathbb{R}$ can be characterized by preimages of sets in a sense that there exist families $\mathcal{A}$...
2019-10-14T20:22:39
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http://planetmath.org/TheProofOfTheoremIsWrong
# The proof of theorem is wrong Let’s create a very simple measurable space: $X=\{a,b\}$, $\mathcal{A}=\{\emptyset,\{a\},\{b\},X\}$. Let’s take the $\pi$-system $P=\{\{a\}\}$ containing only one subset of $X$. Let’s create two measures $\mu=\delta_{a}+\delta_{b}$ and $\nu=\delta_{a}+2\delta_{b}$. Then obviously $\mu...
2018-03-19T11:00:24
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https://math.stackexchange.com/questions/2716012/injective-cogenerator-in-abelian-category
# Injective Cogenerator in Abelian Category I am trying to understand the proof of the Freyd-Mitchell Embedding Theorem and got stuck on the following detail. If $\mathcal{A}$ if a left-complete Abelian category with a generator, such that every object in $\mathcal{A}$ may be embedded in an injective object, then $\ma...
2021-10-17T14:04:05
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https://www.physicsforums.com/threads/thermodynamics-otto-cycle.861324/
# Thermodynamics: Otto Cycle 1. Mar 9, 2016 ### jdawg 1. The problem statement, all variables and given/known data A four cylinder, four stroke internal combustion engine has a bore of 3.7 in and a stroke of 3.4 in. The clearance volume is 16% of the cylinder volume at bottom dead center and the crankshaft rotates a...
2017-11-18T17:56:44
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https://oneclass.com/class-notes/ca/mcgill/math-sta-sci/math-323/279036-double-integralspdf.en.html
Class Notes (835,117) MATH 323 (2) Lecture # Double Integrals.pdf 8 Pages 83 Views School Department Mathematics & Statistics (Sci) Course MATH 323 Professor W.J.Anderson Semester Winter Description Double Integrals http://www.math.oregonstate.edu/home/programs/undergrad/CalculusQu... Double Integrals In calculus o...
2018-04-20T18:59:53
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https://brilliant.org/problems/badminton-ii/
Algebra Level 3 Two players are playing a shortened version of badminton: a $$k$$-point, $$n$$-game match with no deuce, where $$n,k > 1$$ are integers, and $$n$$ is odd. Specifically, in each game, the player who first scores $$k$$ points wins. The winner of the match is the player who first wins $$\lceil \frac{n}{2}...
2017-09-22T16:49:33
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https://www.mometrix.com/academy/matrices-geometric-transformations/
# Matrices – Geometric Transformations Hello and welcome to this video about using matrices to transform figures on the coordinate plane! In this video, we will cover translations dilations, reflections, and rotations Using addition, subtraction, scalar multiplication, and matrix multiplication, we can transform figu...
2022-07-05T06:20:44
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http://mathoverflow.net/api/userquestions.html?userid=17673&page=1&pagesize=10&sort=votes
5 # Questions 2 8 1 268 views ### families of genus four curves with only hyperelliptic reduction feb 20 at 17:17 David Lehavi 2,7751813 1 3 1 135 views ### genus two curve with special automorphisms oct 9 at 18:18 Felipe Voloch 16.7k23661 2 0 124 views ### genus four curve with $|3p|= \mathfrak{g}^1_3$ apr 1...
2013-06-19T18:32:13
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http://kau.diva-portal.org/smash/person.jsf?pid=authority-person%3A3359
Change search BETA Bobylev, Alexander ##### Publications (10 of 46) Show all publications Bobylev, A., Pulvirenti, M. & Saffirio, C. (2013). From Particle Systems to the Landau Equations: A Consistency Result. Communications in Mathematical Physics, 319(3), 693-702 Open this publication in new window or tab >>From Par...
2019-04-19T20:50:40
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http://rettacs.org/mathr_munu-frac12g_-munur-frac8pi-gc4t_munumath-made-simpler/
# $R_{\mu\nu} - \frac{1}{2}g_{\mu\nu}R + g_{\mu\nu}\Lambda= \frac{8\pi G}{c^4}T_{\mu\nu}$ made simple(r) Einstein’s Special Theory of relativity is capable of being responsibly taught in early undergraduate physics courses. It’s not easy but the mathematics is accessible and the concepts amenable to interesting analog...
2017-11-23T13:12:36
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https://lavelle.chem.ucla.edu/forum/viewtopic.php?f=42&t=37768&p=127928
## Delocalized Pi Bonding $sp, sp^{2}, sp^{3}, dsp^{3}, d^{2}sp^{3}$ Meigan Wu 2E Posts: 66 Joined: Fri Sep 28, 2018 12:29 am Been upvoted: 1 time ### Delocalized Pi Bonding Can someone explain what delocalized pi bonding is and when does it exist? Patrick Cai 1L Posts: 93 Joined: Fri Sep 28, 2018 12:25 am ### Re...
2019-08-18T23:54:04
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https://tex.stackexchange.com/questions/199161/parabolic-moebius-map-on-sphere-using-tikz?noredirect=1
# Parabolic Moebius map on sphere using tikz There is a discussion here about coding the elliptic Moebius map. I however am interested in how I might do the parabolic one. case [d] The arrow heads are not an issue, but how do I get the lines on the surface of the sphere? Most (all?) tutorials only focus on lines of l...
2022-01-18T15:07:20
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https://www.storyofmathematics.com/fractions-to-decimals/11-16-as-a-decimal/
# What Is 11/16 as a Decimal + Solution With Free Steps? The fraction 11/16 as a decimal is equal to 0.6875. Division could appear to be the most complex of all mathematical operations, but it is not that difficult because there is a way to handle this difficult issue. Long Division is the process of answering the qu...
2022-10-02T05:56:26
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https://hal.inria.fr/hal-02425684
# Minimax Rates for Estimating the Dimension of a Manifold 1 DATASHAPE - Understanding the Shape of Data CRISAM - Inria Sophia Antipolis - Méditerranée , Inria Saclay - Ile de France Abstract : Many algorithms in machine learning and computational geometry require, as input, the intrinsic dimension of the manifold tha...
2022-08-13T00:26:54
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https://mathoverflow.net/questions/320420/can-bellows-make-loops
# Can bellows make loops? Can flexible polyhedron (hyperbolic or euclidean) have non-simply connected configuration space not containing singular polyhedra? • Could you explain what the phrase "singular polyhedra" means? Thanks. – Joseph O'Rourke Jan 9 at 15:23 • Ones with angles between faces equal to $0$ or $\pi$. ...
2019-03-24T05:47:15
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https://astronomy.stackexchange.com/questions/38334/approximate-formula-to-find-velocity-from-cosmological-redshift
# Approximate formula to find velocity from cosmological redshift From IOAA 2013 (Greece) Theory question no. 15, they stated that the approximate formula to find velocity from cosmological redshift is $$v = c*log_e (1+z)$$ and that it is often used by cosmologists. I did a quick google search but found nothing simila...
2021-10-24T18:50:55
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http://cran.ma.ic.ac.uk/web/packages/riskRegression/vignettes/IPA.html
# Index of Prediction Accuracy (IPA) ## 1 Introduction This vignette demonstrates how our software calculates the index of prediction accuracy 1. We distinguish three settings: • uncensored binary outcome • right censored survival outcome (no competing risks) • right censored time to event outcome with competing ris...
2022-01-21T12:38:30
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https://voer.edu.vn/c/electrical-potential-due-to-a-point-charge/0e60bfc6/21edf45f
Giáo trình # College Physics Science and Technology ## Electrical Potential Due to a Point Charge Tác giả: OpenStaxCollege Point charges, such as electrons, are among the fundamental building blocks of matter. Furthermore, spherical charge distributions (like on a metal sphere) create external electric fields exac...
2020-10-22T20:07:02
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https://openresearchsoftware.metajnl.com/articles/10.5334/jors.cb/print/
## (1) Overview ### Introduction The programming philosophy underlying the software package DiracQ is inspired by P A M Dirac’s notation of c-numbers and q- numbers, denoting objects that are analogous to regular numbers and to non commuting quantum operators [1]. Dirac’s notation pervades much of theoretical physics...
2022-10-06T11:44:01
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https://www.physicsforums.com/threads/prove-if-a-b-there-is-an-irrational-inbetween-them.688858/
# Prove if a < b, there is an irrational inbetween them 1. Apr 30, 2013 ### Zondrina 1. The problem statement, all variables and given/known data No giving up ! The question : http://gyazo.com/08a3726f30e4fb34901dece9755216f3 2. Relevant equations A lemma and a theorem : http://gyazo.com/f3b61a9368cca5a7ed78a92...
2017-08-23T02:54:10
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https://repositorio.inesctec.pt/items/68428e7d-c5d6-469b-94e6-3cc71683aad5/full
Long Term Evaluation of Operating Reserve with High Penetration of Renewable Energy Sources dc.contributor.author Armando Leite da Silva en dc.contributor.author Mauro Rosa en dc.contributor.author Manuel Matos en dc.date.accessioned 2017-11-16T13:30:57Z dc.date.available 2017-11-16T13:30:57Z dc.date.issued 2011 en d...
2022-08-08T22:09:58
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https://xml.jips-k.org/full-text/view?doi=10.3745/JIPS.01.0030
Kumari* and Jayanna*: Speaker Verification with the Constraint of Limited Data # Speaker Verification with the Constraint of Limited Data Abstract: Speaker verification system performance depends on the utterance of each speaker. To verify the speaker, important information has to be captured from the utterance. Nowa...
2021-08-03T00:35:13
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https://cameramath.com/expert-q&a/Algebra/Use-the-graph-to-determine-a-open-intervals-on-which-the-function_6
### Still have math questions? a. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The function is increasing on the interval(s) $$( - 2 , \infty )$$ . B. Thpe your answer in interval notation. Use a comma to separate answers as needed.) b. Select the correct choice...
2022-08-14T08:52:45
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https://encyclopediaofmath.org/index.php?title=Local_dimension&printable=yes
Local dimension 2010 Mathematics Subject Classification: Primary: 54F45 [MSN][ZBL] of a normal topological space $X$ The topological invariant $\mathrm{locdim}(X)$, defined as follows. One says that $\mathrm{locdim}(X) \le n$, $n = -1,0,1,\ldots$ if for any point $x \in X$ there is a neighbourhood $O_x$ for which th...
2022-08-17T13:32:00
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http://iqtestpreparation.com/daily-test/1406
# IQ Contest, Daily, Weekly & Monthly IQ & Mathematics Competitions #### Question No 1 Choose or find odd word V.V. Giri , General Zia , General Ershad , Lal Bahadur Shastri Solution! All except Lal Bahadur Shastri were Presidents of some country, while Lal Bahadur Shastri was the Prime Minister of India. . #### Q...
2019-07-22T12:45:12
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https://dml.cz/handle/10338.dmlcz/140502
# Article Full entry | PDF   (0.1 MB) Keywords: orbit projection; proper Lie groupoid; fibration Summary: Let $\mathcal{G} \rightrightarrows M$ be a source locally trivial proper Lie groupoid such that each orbit is of finite type. The orbit projection $M \to M/\mathcal{G}$ is a fibration if and only if $\mathcal{G}\r...
2017-12-15T10:31:20
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http://mathhelpforum.com/geometry/66969-geometry-problem.html
1. ## geometry problem A picture frame has one side of length 17.2cm, a side measuring 12.9cm and a diagonal length of 21.5cm. is the frame rectangular?? 4 marks Help!! what topic do i use? 2. Originally Posted by scoobydoo A picture frame has one side of length 17.2cm, a side measuring 12.9cm and a diagonal lengt...
2017-05-25T18:28:07
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http://math.stackexchange.com/questions/168267/formal-expression-of-tildez-is-the-nearest-from-z
formal expression of $\tilde{z}$ is the nearest from z $h = distance(z, \tilde{z})$, where $\tilde{z}$ is the element that is nearest from $z$ (that is, distance(z, $\tilde{z}$) is smaller than distance(z, any_other_z)). Is it possible to expression this formally, instead of saying "where $\tilde{z}$ is the element t...
2016-02-11T15:10:29
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https://www.physicsforums.com/threads/inverse-function-theorem.136176/
Inverse Function Theorem 1. Oct 11, 2006 Haftred I'm trying to see near which points of R^3 I can solve for theta, phi, and rho in terms of x,y, and z. I know i need to find the determinant and see when it equals zero; however, I get the determinant to equal zero when sin(phi) = 0, and when tan(theta) = -cot(phi). T...
2017-04-24T09:34:18
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https://www.transtutors.com/questions/assume-that-the-asset-price-follows-geometric-brownian-motion-and-prove-this-relatio-7847173.htm
Assume that the asset price follows geometric Brownian motion and prove this relationship using the. Assume that the asset price follows geometric Brownian motion and prove this relationship using the Ito’s formula.
2021-12-08T19:49:37
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http://digitalfreepen.com/2013/04/03/to-log-or-to-not-log.html
Apr 3 2013 # To log or to not log Sometimes, in digital signal processing, we work with the logarithm of a function. The reason why : the human ear can hear rustling leaves quite clearly. It can also obviously hear music at a rock concert. The latter is more than ten million times louder in the intensity of the sound...
2018-04-25T23:40:16
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https://hal.inria.fr/inria-00073896
New interface # Optimal Time and Minimum Space-Time Product for Reversing a Certain Class of Programs 1 SAFIR - Algebraic Formal Systems for Industry and Research CRISAM - Inria Sophia Antipolis - Méditerranée Abstract : This report concerns time/space trade-offs for the reverse mode of automatic differentiation on t...
2022-11-27T19:11:52
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https://deepai.org/publication/differentially-private-summation-with-multi-message-shuffling
# Differentially Private Summation with Multi-Message Shuffling In recent work, Cheu et al. (Eurocrypt 2019) proposed a protocol for n-party real summation in the shuffle model of differential privacy with O_ϵ, δ(1) error and Θ(ϵ√(n)) one-bit messages per party. In contrast, every local model protocol for real summati...
2021-09-24T18:21:26
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https://www.mersenneforum.org/showpost.php?s=c9067cc631b69b752ec5123d51ee30de&p=77668&postcount=2
View Single Post 2006-04-13, 16:10   #2 R.D. Silverman Nov 2003 22×5×373 Posts Quote: Originally Posted by bearnol I've just posted the following assertion over at M+2: http://groups.google.com/group/Merse...9949e8e2560b6b Anybody feel like helping me test it? J The time to compute 2^n + 1 mod p will be proportiona...
2020-08-09T10:55:09
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https://www.ias.ac.in/listing/bibliography/pmsc/Abdul_Aziz
• Abdul Aziz Articles written in Proceedings – Mathematical Sciences • On the zeros of polynomials In this paper we extend a classical result due to Cauchy and its improvement due to Datt and Govil to a class of lacunary type polynomials. • Inequalities for the derivative of a polynomial Let P(z) be a polynomial o...
2021-06-19T02:36:20
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https://quantumcomputing.stackexchange.com/questions/2267/how-to-implement-a-square-root-of-swap-gate-that-swaps-2n-qubits-on-the-ibm-q-c
# How to implement a Square root of Swap gate that swaps 2n-qubits on the IBM Q (composer)? I am looking for an implementation using the quantum gates provided by the IBM composer of the following quantum function: • input $2n$ qubits • output $2n$ qubits wherein $50\%$ of the cases the state of the $2$ sets of $n$ q...
2020-08-11T04:41:26
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https://mathoverflow.net/questions/107980/convolution-of-sequences
# Convolution of sequences Let for given real sequences $(a_n)_{n \in \mathbb Z}, (b_n)_{n \in \mathbb Z}$, $c_n:=\sum_{k\in \mathbb Z} a_k b_{n-k}$ for $n \in \mathbb Z$ be the convolution of sequences $(a_n)$, $(b_n)$. For classical convolution if one of two functions is in $L^p$, the second in $L^q$, where $1\leq ...
2020-02-25T23:45:44
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https://fr.maplesoft.com/support/help/maplesim/view.aspx?path=NumberTheory%2FRadical
Radical - Maple Help # Online Help ###### All Products    Maple    MapleSim NumberTheory Radical calculate the radical of an integer Calling Sequence Radical( n ) Parameters n - integer Description • The Radical( n ) function computes the radical of the nonzero integer n. The radical of a nonzero integer ...
2023-03-26T03:13:26
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http://www.mathnet.ru/php/archive.phtml?wshow=paper&jrnid=im&paperid=8684&option_lang=eng
RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB General information Latest issue Forthcoming papers Archive Impact factor Subscription Guidelines for authors License agreement Submit a manuscript Search papers Search references RSS Latest issue Current issues Archiv...
2019-11-13T20:59:34
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https://ruor.uottawa.ca/handle/10393/6590
Design, manufacturing and testing of hoop wound tubular in-plane shear specimens. Description Title: Design, manufacturing and testing of hoop wound tubular in-plane shear specimens. Authors: Dickson, Thomas E. Date: 1993 Abstract: High performance fibre reinforced polymer composite materials have become popular repl...
2020-11-27T19:05:10
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https://practicepaper.in/gate-ee/complex-variables
# Complex Variables Question 1 The real numbers, x and y with $y = 3x^2 + 3x + 1$, the maximum and minimum value of y for $x \in [-2, 0]$ are respectively ________ A 7 and 1/4 B 7 and 1 C -2 and -1/2 D 1 and 1/4 GATE EE 2020   Engineering Mathematics Question 1 Explanation: \begin{aligned} y&=3x^{2}+3x+1 \; \; in \;...
2022-09-25T07:44:34
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https://gmw.globalmathproject.org/station/I5SO
05 530 383 ### Question 1 With pencil and paper, use dots-and-boxes to compute $2130 \div 10$. Can you explain why, with unexplosions, the answer will be $213$? Do look for groups of ten in your picture. Most people say that to divide a number that ends with zero by ten, just cross off the final zero from the numbe...
2021-03-08T06:22:55
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https://deepai.org/publication/the-bayesian-method-of-tensor-networks
# The Bayesian Method of Tensor Networks Bayesian learning is a powerful learning framework which combines the external information of the data (background information) with the internal information (training data) in a logically consistent way in inference and prediction. By Bayes rule, the external information (prio...
2022-05-18T03:04:39
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https://mathematica.stackexchange.com/questions/189289/edo-with-parameter-divergence-and-stop-integration
# EDO with parameter, divergence and stop integration I'm trying to solve an ODE which independent variable is time, where there is a parameter involved, let's say $$\beta$$. I need to plot the final solution in terms of $$\beta$$. The equations, initial conditions and the code I used are $$\begin{eqnarray} &&\dot{y}=...
2019-01-22T09:27:32
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http://physics.stackexchange.com/questions/28314/how-should-i-be-thinking-about-tides
# How should I be thinking about tides? I am working on a project for physics that involves tides. This is my current mind set when thinking about tides: The earth applies a gravitational force on some mass M. The moon & sun apply a gravitational forces on the mass M away from the earth. The bodies of water on the ea...
2015-05-05T04:15:22
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http://www.openmath.org/cd/s_data1.xhtml
Home Overview Documents Content Dictionaries Software & Tools The OpenMath Society OpenMath Projects OpenMath Discussion Lists OpenMath Meetings Links # OpenMath Content Dictionary: s_data1 Canonical URL: http://www.openmath.org/cd/s_data1.ocd CD Base: http://www.openmath.org/cd CD File: s_data1.ocd CD as XML Encoded...
2015-05-27T11:30:50
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https://math.stackexchange.com/questions/4180043/differentiation-of-a-piecewise-function-at-a-point/4180059
# differentiation of a piecewise function at a point say I have the function $$f(x)=\begin{cases} x^{3}\sin(\frac{5}{x}) & x\ne0\\ 0 & x=0 \end{cases}$$ I want to prove it is differentiable at $$0.$$ I first show that it is continuous by: $$\lim_{x\to0}f(x)=x^{3}\sin(\frac{5}{x})=0$$ That is because I have a bounded f...
2022-01-22T07:25:56
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https://math.stackexchange.com/questions/929882/what-is-wrong-with-my-algorithm-for-finding-how-many-positive-integers-are-divis
# What is wrong with my algorithm for finding how many positive integers are divisible by a number d in range [x,y]? I have been solving basic counting problems from Kenneth Rosen's Discrete Mathematics textbook (6th edition). These come from section 5-1 (the basics of counting), pages 344 - 347. This question is not...
2020-01-27T03:07:31
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https://artofproblemsolving.com/wiki/index.php?title=1991_AHSME_Problems/Problem_1&diff=prev&oldid=56404
# Difference between revisions of "1991 AHSME Problems/Problem 1" If for any three distinct numbers $a$, $b$, and $c$ we define $f(a,b,c)=\frac{c+a}{c-b}$, then $f(1,-2,-3)$ is (A) $-2$ (B) $-\frac{2}{5}$ (C) $-\frac{1}{4}$ (D) $\frac{2}{5}$ (E) $2$ The problems on this page are copyrighted by the Mathematical Associ...
2021-09-17T03:35:19
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https://blog.bordes.me/google-ctf-2018-mitm.html
# Google CTF 2018: Crypto - MITM Posted on 01 Jul 2018, 10:00 in WriteUps ## Challenge description The challenge was called MITM and as confirmed by the small description given ("Man in the Middle the communication between the client and the server.") we will need to execute a Man-In-The-Middle (MITM) attack There a...
2019-07-21T05:33:50
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http://elib.dlr.de/66665/
DLR Portal Home | Imprint | Contact | Deutsch Fontsize: [-] Text [+] # Dynamics of large-scale structures and heat transfer in turbulent mixed convection Westhoff, Andreas and Schmeling, Daniel and Bosbach, Johannes and Wagner, Claus (2010) Dynamics of large-scale structures and heat transfer in turbulent mixed conve...
2015-07-04T19:07:11
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https://kb.osu.edu/dspace/handle/1811/10019
# THE $X^{2}\Pi-X^{2}\Pi (1-0)$ TRANSITIONS OF $^{14}N^{16}O, ^{15}N^{16}O, ^{14}{N^{17}}O, ^{14}{N}^{18}O$ NEAR 5,3 $\mu$ Please use this identifier to cite or link to this item: http://hdl.handle.net/1811/10019 Files Size Format View 1977-ME-04.jpg 123.1Kb JPEG image Title: THE $X^{2}\Pi-X^{2}\Pi (1-0)$ TRANSITIO...
2018-03-17T23:47:04
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https://coding-gym.org/challenges/triple-sum/
# Triple Sum See the original problem on HackerRank. ## Solutions Consider this test case: Visually, for each element of B we should mark the elements in A and C that are less than or equal to that element: And, for 3: Performing the operation on the second 3 is redundant, because triplets must be unique. Along ...
2020-01-21T10:29:10
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http://matematika.reseneulohy.cz/3172/attaining-a-maximum
## Attaining a maximum The function $$f\colon \space \mathbb R^2 \to \mathbb R$$ is defined as $f(x, y) = \frac{1}{x^2 + y^2 + (x\cos(y) - 2x - 3e^y)^2 + 2}.$ Prove that $$f$$ attains its maximum value on $$\mathbb R$$.
2022-05-26T13:33:10
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http://kitchingroup.cheme.cmu.edu/blog/2017/09/25/New-publication-in-J-Phys-Chem-Lett/
## New publication in J. Phys. Chem. Lett. | categories: | tags: | View Comments DFT calculations are extensively used to predict the chemical properties of metal alloy surfaces, but they are expensive which limits the number of calculations that can be practically be calculated. In this paper, we explore a perturbat...
2018-05-23T20:19:58
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https://openstax.org/books/college-algebra-corequisite-support/pages/2-key-concepts
College Algebra with Corequisite Support # Key Concepts College Algebra with Corequisite SupportKey Concepts ### 2.1The Rectangular Coordinate Systems and Graphs • We can locate, or plot, points in the Cartesian coordinate system using ordered pairs, which are defined as displacement from the x-axis and displacemen...
2023-01-30T00:40:41
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https://socratic.org/questions/589263057c01490182c4c9d6
# Question #4c9d6 Feb 2, 2017 Titanium dioxide, titanium(IV) oxide. #### Explanation: You are dealing with an ionic compound that contains the cation of a transition metal, so right from the start, you should be aware that its name will include a Roman numeral that describes its oxidation state. We use Roman numer...
2022-01-18T20:08:48
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http://mathoverflow.net/questions/83313/nonnegative-additive-functions-on-coherent-sheaves
# Nonnegative additive functions on coherent sheaves Let $(X,\mathcal{O}_X)$ be a Noetherian integral scheme and let $g$ be a (numerical) additive nonnegative function from coherent $\mathcal{O}_X$-modules to $[0,\infty)$. This question may be well known to the expert but I couldn't find a reference: is $g$ a constant...
2015-05-04T14:11:23
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http://math.stackexchange.com/tags/random-variables/hot
# Tag Info 3 To find the p.d.f of the ratio $\frac{Y}{X+Y}$, let us first write its c.d.f. Since $X$ and $Y$ are always positive, their ratio is also positive and, therefore, for $0\leq t\lt1$ we can write: $P\left(\frac{Y}{X+Y}\leq t\right)=P\left(Y\leq \frac{t}{1-t}X\right)=\int_{0}^{\infty }\left(\int_{0}^{\frac{t...
2015-11-27T14:10:10
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http://www.heldermann.de/JCA/JCA24/JCA241/jca24023.htm
Journal Home Page Cumulative Index List of all Volumes Complete Contentsof this Volume Previous Article Journal of Convex Analysis 24 (2017), No. 1, 333--347 Copyright Heldermann Verlag 2017 A Note on the Extension of Continuous Convex Functions from Subspaces Carlo Alberto De Bernardi Dip. di Matematica, Università di...
2018-11-14T01:26:49
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https://math.stackexchange.com/questions/870282/what-does-the-colon-use-in-the-decimal-place-mean
# What does the colon use in the decimal place mean? When I type into wolfram the query, exp(1) in base 100, the answer comes back "2.71:82:81...." What does the colon (:) mean? • I would guess that the base-100 digits are the pairs separated by colons. For example, the first base-100 digit past the radix point is 7...
2021-07-27T17:39:47
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https://groupprops.subwiki.org/wiki/CA_not_implies_nilpotent
# CA not implies nilpotent This article gives the statement and possibly, proof, of a non-implication relation between two group properties. That is, it states that every group satisfying the first group property (i.e., CA-group) need not satisfy the second group property (i.e., nilpotent group) View a complete list o...
2020-02-28T13:15:55
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https://pointatinfinityblog.wordpress.com/category/art/
# Life on the Poincaré Disk Just at this time I left Caen, where I was then living, to go on a geological excursion under the auspices of the school of mines. The changes of travel made me forget my mathematical work. Having reached Coutances, we entered an omnibus to go some place or other. At the moment when I put m...
2018-06-19T15:54:02
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http://math.nie.edu.sg/events/Colloquium/Ms.aspx
Mathematics & Mathematics Education ACADEMIC GROUP MME Staff and Graduate Student Colloquium 2019 Date: Monday 15 April 2019 Time: 4.30 pm – 8.30 pm Venue: TR201 (Math Edn) & TR203 (Math) Registration closes : 2 April 2019 ## Mathematics Abstracts of Presentations On an amazing identity of Ramanujan Toh Pee Choon ...
2019-04-21T16:17:48
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https://math.stackexchange.com/questions/2534109/computing-type-ii-error-for-a-one-sided-normal-test
# Computing Type II Error for a One-Sided Normal Test. For a random sample $X_1,X_2,\ldots , X_{49}$ taken from a population having standard deviation 4, sample mean is found to be 20.3. Test the claim that the mean of the population is not less than 21 at 1% level of significance.Find the probability of Type II error...
2020-10-22T21:44:18
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http://math.stackexchange.com/questions/133266/an-exercise-in-allen-hatchers-book-on-spectral-sequences
# An Exercise in Allen Hatcher's book on Spectral Sequences anyone knows how to solve Exercise 3 of Chapter 1 of Allen Hatcher's book on Spectral Sequences? The question is as follows: For a fibration $K(A,1)\rightarrow K(B,1)\rightarrow K(C,1)$ associated to a short exact sequence of groups $1\rightarrow A\rightarro...
2015-05-23T01:35:12
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https://www.esaral.com/q/using-binomial-theorem-determine-which-number-is-larger-1-2-56322
# Using binomial theorem determine which number is larger (1.2) Question: Using binomial theorem determine which number is larger (1.2)4000 or 800? Solution: We have: $(1.2)^{4000}=(1+0.2)^{4000}$ $={ }^{4000} C_{0}+{ }^{4000} C_{1} \times(0.2)^{1}+{ }^{4000} C_{2} \times(0.2)^{2}+\ldots{ }^{4000} C_{4000} \times...
2023-03-27T03:03:02
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