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https://bt.gateoverflow.in/827/gate-bt-2022-question-3
For a double-pipe heat exchanger, the inside and outside heat transfer coefficients are $100$ and $200 \; \text{W m}^{-2} \text{K}^{-1},$ respectively. The thickness and thermal conductivity of the thin-walled inner pipe are $1 \; \text{cm}$ and $10 \; \text{W m}^{-1} \text{K}^{-1},$ respectively. The value of the over...
2022-06-25T14:24:15
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https://acpc18.kattis.com/problems/earlywinter
Alberta Collegiate Programming Contest 2018 #### Start 2018-10-27 18:00 UTC ## Alberta Collegiate Programming Contest 2018 #### End 2018-10-27 23:00 UTC The end is near! Contest is over. Not yet started. Contest is starting in -485 days 7:53:00 5:00:00 0:00:00 # Problem AEarly Winter Yraglac really hates early...
2020-02-25T01:53:00
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https://tex.stackexchange.com/questions/291524/using-standard-circuits-and-tikzcircuits-in-the-same-document
# using “standard” circuits and tikzcircuits in the same document? Are the "standard" tikz circuit library and circuitikz incompatible? Consider the following MWE: \documentclass{article} \usepackage[T1]{fontenc} \usepackage[utf8]{inputenc} \usepackage{tikz} \usepackage{pgfplots}\pgfplotsset{compat=1.9} \usepackage[s...
2021-03-08T22:02:36
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https://math.stackexchange.com/questions/2027525/if-m-is-an-odd-natural-number-show-that-m-mid-2-phim-1-where-phi-i
# If $m$ is an odd natural number, show that $m\mid 2^{\phi(m)}-1,$ where $\phi$ is the Euler totient function. If $m$ is an odd natural number, show that $$m\mid 2^{\phi(m)}-1,$$ where $\phi$ is the Euler totient function. Can someone provide me some hints. ## 1 Answer The result you want to prove is a straight co...
2019-10-17T10:14:12
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https://jeremykun.com/tag/cryptography-2/
# Sample Extraction from RLWE to LWE In this article I’ll derive a trick used in FHE called sample extraction. In brief, it allows one to partially convert a ciphertext in the Ring Learning With Errors (RLWE) scheme to the Learning With Errors (LWE) scheme. Here are some other articles I’ve written about other FHE bu...
2023-03-30T16:47:38
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https://math.stackexchange.com/questions/1524157/independent-coin-tosses-double-or-halve-current-sum
Independent coin tosses , double or halve current sum (Quant job Interviews - Questions and Answers - Joshi et al, Question 3.5) Suppose you have a fair coin. You start with 1 dollar, and if you toss a H your position doubles, if you toss a T your position halves. What is the expected value of the money you have if y...
2022-10-03T07:40:28
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https://wiki.math.uwaterloo.ca/statwiki/index.php?title=stat946w18/Implicit_Causal_Models_for_Genome-wide_Association_Studies&direction=next&oldid=34344
# stat946w18/Implicit Causal Models for Genome-wide Association Studies ## Introduction and Motivation There is progression in probabilistic models which could develop rich generative models. The models have been expanded with neural network, implicit densities, and with scalable algorithms to very large data for the...
2021-05-06T01:36:49
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https://www.meritnation.com/cbse-class-12-science/math/math-part-i-ncert-solutions/application-of-derivatives/ncert-solutions/46_1_1373_235_197_7086
NCERT Solutions for Class 12 Science Math Chapter 6 Application Of Derivatives are provided here with simple step-by-step explanations. These solutions for Application Of Derivatives are extremely popular among Class 12 Science students for Math Application Of Derivatives Solutions come handy for quickly completing you...
2019-11-13T21:36:36
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http://mymathforum.com/number-theory/333351-fermat-last-i-hope.html
My Math Forum Fermat the Last (I hope) Number Theory Number Theory Math Forum June 27th, 2016, 12:39 AM #1 Banned Camp   Joined: Dec 2012 Posts: 1,028 Thanks: 24 Fermat the Last (I hope) Here the last turn for FLT: (for clarify what Step Sum, step $1/K$ are and works, pls check my several post on) Giving for true u...
2018-09-19T18:13:42
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https://math.stackexchange.com/questions/2676969/prove-that-if-a-equiv-b-pmod-p2-p-then-aa-equiv-bb-pmodp-whe
# Prove that if $a\equiv b \pmod {p^{2}-p}$, then $a^{a}\equiv b^{b} \pmod{p}$ where $p$ is any prime and $a$ and $b$ are nonzero integers. I have shown the case in which $p=2$, so now I'm considering $p\geq 3$. I see that $p^{2}-p = p(p-1)$, in which case we can apply the Chinese Remainder Theorem to obtain $a\equiv ...
2019-07-17T07:18:03
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https://www.esaral.com/q/in-the-experimental-set-up-of-metre-bridge-shown-in-the-figure-18533/
In the experimental set up of metre bridge shown in the figure, Question: In the experimental set up of metre bridge shown in the figure, the null point is obtaine data distance of $40 \mathrm{~cm}$ from A. If a $10 \Omega$ resistor is connected in series with $\mathrm{R}_{1}$, the null point shifts by $10 \mathrm{~cm...
2022-12-09T21:58:00
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http://codeforces.com/blog/entry/65569
### RubenAshughyan's blog By RubenAshughyan, history, 23 months ago, Hi everyone. Today I encountered a data structures problem, which is a slight swist on standart segment tree problem. You are given an array A of size N. N ≤ 10^5, A[i] ≤ 10^6, You need to process 3 types of queries 1. Print the sum of all integer...
2021-01-21T17:59:48
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https://en.wikipedia.org/wiki/Talk:Stirling_numbers_of_the_second_kind
# Talk:Stirling numbers of the second kind WikiProject Mathematics (Rated C-class, Low-importance) This article is within the scope of WikiProject Mathematics, a collaborative effort to improve the coverage of Mathematics on Wikipedia. If you would like to participate, please visit the project page, where you can join...
2016-08-27T07:43:04
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https://math.stackexchange.com/questions/3203299/hamiltonian-cycle-with-n-vertex-graph
# Hamiltonian Cycle with n vertex graph Let a n-vertex graph such that every pair of not adjacent vertices a & b has degree(x) + degree(y) $$\geq$$ n. Show the graph contains a Hamiltonian cycle. By dirac's thm, a simple graph with n vertices (n ≥ 3) is Hamiltonian if every vertex has degree n / 2 or greater. How wou...
2020-12-03T17:36:10
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https://www.projecteuclid.org/euclid.pjm/1102720111
## Pacific Journal of Mathematics ### Compact connected Lie groups acting on simply connected $4$-manifolds. Hae Soo Oh #### Article information Source Pacific J. Math., Volume 109, Number 2 (1983), 425-435. Dates First available in Project Euclid: 8 December 2004 https://projecteuclid.org/euclid.pjm/1102720111 ...
2019-08-17T11:41:27
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http://hackage.haskell.org/package/hgeometry-0.10.0.0/docs/Algorithms-Geometry-WellSeparatedPairDecomposition-WSPD.html
hgeometry-0.10.0.0: Geometric Algorithms, Data structures, and Data types. Copyright (C) Frank Staals see the LICENSE file Frank Staals None Haskell2010 Algorithms.Geometry.WellSeparatedPairDecomposition.WSPD Description Algorithm to construct a well separated pair decomposition (wspd). Synopsis # Documentation ...
2020-03-31T00:04:13
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http://www.theinfolist.com/html/ALL/s/transitive_relation.html
TheInfoList In mathematics Mathematics (from Greek: ) includes the study of such topics as numbers (arithmetic and number theory), formulas and related structures (algebra), shapes and spaces in which they are contained (geometry), and quantities and their changes (cal ... , a relation on a set is transitive if, for a...
2022-09-30T06:02:29
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https://codeforces.cc/blog/entry/95287
### oleksg's blog By oleksg, history, 5 weeks ago, • +8 » 5 weeks ago, # | ← Rev. 3 →   +36 It's n times a partial sum of [harmonic series](https://en.wikipedia.org/wiki/Harmonic_series_(mathematics)#Partial_sums), so it's nlogn. • » » 5 weeks ago, # ^ |   0 Oh, I didn't notice that. Thanks for the answer! • » » ...
2021-10-28T01:37:21
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https://www.physicsforums.com/threads/centripetal-force-acc-problem.158319/
# Centripetal force/acc problem ## Homework Statement What angular velocity would cause a centripetal acceleration of 3 g's if the radius were 2.5 m? i have a test 2moro on this stuff... yea i need to know =D thx ## Homework Equations i guess m(v^2)/r or mW^2r no idea. srry ## Homework Equations i guess m(v^2)/...
2022-05-21T18:20:57
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https://socratic.org/questions/find-the-volume-of-the-solid-by-using-cylindrical-shells#621229
# Find the volume of the solid by using cylindrical shells? May 28, 2018 $\textcolor{b l u e}{V = 2 \pi {\int}_{0}^{1} \left(y\right) \left(\sqrt{y} - {y}^{3}\right) \cdot \mathrm{dy} = \frac{2 \cdot \pi}{5} {\left(u n i t e\right)}^{3}}$ #### Explanation: the volume by cylindrical shell method when the curve rotat...
2021-10-24T12:54:32
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http://clay6.com/qa/26380/for-a-perfect-correlation-between-the-variables-x-and-y-the-line-of-regress
# For a perfect correlation between the variables $x$ and $y$ the line of regression is $ax+by+c=0$ where $a,b,c > 0$ then $r$ is $\begin {array} {1 1} (A)\;0 & \quad (B)\;-1 \\ (C)\;1 & \quad (D)\;None \: of \: these \end {array}$ $ax+by+c=0$ has slope $-\large\frac{a}{b} <0$ So the two variables are in perfect nega...
2017-09-24T05:08:14
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https://www.aimsciences.org/article/doi/10.3934/dcds.2012.32.4111
# American Institute of Mathematical Sciences December  2012, 32(12): 4111-4131. doi: 10.3934/dcds.2012.32.4111 ## Noninvertible cocycles: Robustness of exponential dichotomies 1 Departamento de Matemática, Instituto Superior Técnico, Universidade de Lisboa, 1049-001 Lisboa 2 Departamento de Matemática, Instituto S...
2021-06-22T14:24:09
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https://informationtransfereconomics.blogspot.com/2015/08/the-dungeons-and-dragons-approach-to.html
## Tuesday, August 18, 2015 ### The Dungeons and Dragons approach to economics Dice roll with six-sided and twenty-sided dice. Editor's note: This post has been languishing in the drafts folder for several months, so I gave it a quick finish and posted it. In a footnote to the previous post I mentioned flipping a co...
2018-02-25T05:42:37
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http://nrich.maths.org/public/leg.php?code=12&cl=3&cldcmpid=455
Search by Topic Resources tagged with Factors and multiples similar to Magic Caterpillars: Filter by: Content type: Stage: Challenge level: There are 92 results Broad Topics > Numbers and the Number System > Factors and multiples LCM Sudoku Stage: 4 Challenge Level: Here is a Sudoku with a difference! Use inform...
2014-12-19T17:36:35
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https://chemistry.stackexchange.com/questions/35564/name-the-following-coordination-complex
Name the following coordination complex What are the IUPAC rules when naming a coordination complex like: $$\ce{[Pt(NH3)4][Pt(NH3)Cl3]}$$ Now according to my textbook, it is named as tetraammineplatinum(II) amminetrichloridoplatinate(II). Both the $\ce{Pt}$ atoms have the oxidation state +2 .There are no charges ass...
2020-09-26T11:54:02
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https://math.stackexchange.com/questions/646428/mean-and-variance-of-reciprocal-normal-distribution/646467
# mean and variance of reciprocal normal distribution If $X$ is a normal distributed with mean $\mu$ and variance $\sigma^2$. What would be the mean and variance of $Y = \dfrac{1}{X}$ • What makes you think that the mean and/or variance exist? Both are defined by improper integrals; are you sure these integrals actua...
2019-08-20T11:53:13
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https://zbmath.org/?q=an:06403388
## Small $$k$$-pyramids and the complexity of determining $$k$$.(English)Zbl 1320.05130 Summary: Motivated by the computational complexity of determining whether a graph is Hamiltonian, we study under algorithmic aspects a class of polyhedra called $$k$$-pyramids, introduced in [C. T. Zamfirescu and T. I. Zamfirescu, ...
2022-05-20T07:51:10
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http://publish.uwo.ca/~pzsambok/calc%201000a%20002%2016au/notes/notes/15%20-%20Derivatives%20of%20trigonometric%20functions.html
# Derivatives of trigonometric functions ## Correction about $$G(t)=\frac{1-2t}{3+t}$$. • I should have really calculated those infinite limits • Let's look at the situation as $$t\to(-3)^-$$. • The nominator $$1-2t$$ has a nonzero, positive value at $$t=-3$$. • As $$t$$ approaches $$(-3)$$ from the left, the denomin...
2018-10-18T21:05:35
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https://ai.stackexchange.com/questions/28289/what-are-the-noisy-factors-leading-to-overfitting
# What are the 'noisy factors' leading to overfitting? Consider the following excerpt from section 5.5 Regularization (p. 13) of this chapter Logistic Regression. There is a problem with learning weights that make the model perfectly match the training data. If a feature is perfectly predictive of the outcome because...
2021-10-28T09:11:21
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https://www.edaboard.com/threads/what-is-the-integration-of-square-wave.338297/
What is the integration of square wave ? Status Not open for further replies. vetriece86@gmail.com Junior Member level 2 I know that integration of Square wave will get triangular wave. Can anyone explain me with an example with necessary derivations? It will be very much helpful to me. Thank you. Tahmid Integr...
2022-07-04T11:37:57
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https://zbmath.org/?q=an:0867.58048
# zbMATH — the first resource for mathematics Induced expansion for quadratic polynomials. (English) Zbl 0867.58048 The present paper deals with a class $$\mathcal F$$ of maps defined as follows. A map $$f:[-1,1]\to [-1,1]$$ is said to be unimodal if $$f(-1)=-1$$ and there is an orientation-reversing diffeomorphism $$...
2021-04-21T18:34:19
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http://openstudy.com/updates/50fd9144e4b010aceb33ae53
## anonymous 3 years ago Rearange this equation to isolate a (a+b/c)(d-e) = f Help !! 1. Mertsj $\frac{a+b}{c}(d-e)=f$ 2. Mertsj Is that the problem? 3. anonymous umm the "a" is isolated only b/c 4. anonymous |dw:1358802569854:dw| 5. anonymous @Mertsj 6. Mertsj First divide both sides by d-e 7. anonymous ...
2016-12-09T04:06:58
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http://html.rhhz.net/HEBGCDXXB/html/201805001.htm
«上一篇 文章快速检索 高级检索 哈尔滨工程大学学报  2019, Vol. 40 Issue (4): 676-682  DOI: 10.11990/jheu.201805001 0 ### 引用本文 DING Hu. Free vibration analysis of a functionally graded rectangular plate with central circular cutout[J]. Journal of Harbin Engineering University, 2019, 40(4), 676-682. DOI: 10.11990/jheu.201805001. ### 文章历史 ...
2019-04-22T17:06:36
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http://math.stackexchange.com/questions/95439/find-lim-limits-n-to-infty-frac1n3-sum-limits-k-0n-1k2e-frack
# Find $\lim\limits_{n \to \infty}\frac1{n^3}\sum\limits_{k=0}^{n-1}k^2e^{-\frac{k}{n}}$ Can you help me find $$\lim_{n \to \infty}\frac1{n^3}\sum_{k=0}^{n-1}k^2e^{-\frac{k}{n}} \ \ ?$$ Using Riemann sums, I found it is equal to $2-\frac3{e}$. Is that correct ? Thank you in advance. - uhm - since you know the answe...
2015-01-30T01:17:59
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http://www.futilitycloset.com/category/puzzles/page/5/
# Footwork A poser from Penn State mathematician Mark Levi’s Why Cats Land on Their Feet (2012): Using only a stopwatch and a sneaker, how can you find an approximate value for $\sqrt{2}$? # Hat Check A puzzle from MIT Technology Review, July/August 2008: Each of three logicians, A, B, and C, wears a hat that disp...
2017-02-27T13:36:04
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https://nathanielpark.com/notes-template-dad/stress-and-strain-dd4cb5
# stress and strain 10.3. Stress & Strain Materials for this chapter are taken from : 1. CHAPTER 1 CONCEPT OF STRESS & STRAIN. Stress, Strain and Young's Modulus are all factors linked to the performance of a material in a particular setting. 4.Strain is an object’s response to stress while stress is the force that ...
2023-04-01T23:49:22
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https://sisu.ut.ee/simple-mathmodel/components-mathematical-model
# Components of Mathematical Model Components of Mathematical Model are variables or decision parameters; constants and calibration parameters; input parameters, data; phase parameters; output parameters; noise and random parameters. Process of mathematical modelling contains stages of problem identification and formu...
2020-05-29T03:57:07
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https://math.stackexchange.com/questions/1605964/show-that-the-angles-satisfy-xy-z
# Show that the angles satisfy $x+y=z$ How can I show that $x+y=z$ in the figure without using trigonometry? I have tried to solve it with analytic geometry, but it doesn't work out for me. • Are all figures in the image intended to be squares? – Edward Jiang Jan 9 '16 at 20:00 • Yes! I forgot to mention that. – Hami...
2019-07-17T06:38:02
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https://www.coursehero.com/sg/general-chemistry/thermodynamics/vocabulary/
# Thermodynamics ## Vocabulary ### absolute zero minimum possible temperature theoretically achievable, equal to 0 K (–273.15°C), at which there is no particle motion ### entropy (S) measure of the disorder of a system ### equilibrium state in which the forward and reverse reactions are equal ### first law of t...
2022-05-19T12:24:32
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https://db0nus869y26v.cloudfront.net/en/Landau_distribution
Parameters Probability density function ${\displaystyle \mu =0,\;c=\pi /2}$ ${\displaystyle c\in (0,\infty )}$ — scale parameter ${\displaystyle \mu \in (-\infty ,\infty )}$ — location parameter ${\displaystyle \mathbb {R} }$ ${\displaystyle {\frac {1}{\pi c))\int _{0}^{\infty }e^{-t}\cos \left(t\left({\frac {x-\mu }{c...
2023-03-30T06:26:38
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http://events.berkeley.edu/index.php/calendar/sn/?event_ID=112643&date=2017-11-01&tab=academic
## Topology Seminar (Main Talk): Boundary amenability of Out$(F_n)$ Seminar | November 1 | 4-5 p.m. | 3 Evans Hall I will discuss boundary amenability and how to prove it for basic groups for most of the hour. The main interest in boundary amenability is that it implies the Novikov conjecture in manifold theory. I wi...
2019-07-19T20:56:27
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https://byjus.com/question-answer/find-all-the-roots-of-the-root-of-the-equation-displaystyle-1-cos-2x-sin/
Question Find all the roots of the root of the equation $$\displaystyle (1 \, - \, cos \, 2x) \, sin \, 2x \, = \, \sqrt{3} \, sin^2 \, x$$ which lie in the interval  $$\displaystyle \left [ 0, \, \frac{\pi}{3} \, \right ] .$$ Solution $$\left(1-\cos{2x}\right)\sin{2x}=\sqrt{3}{\sin}^{2}{x}$$$$\Rightarrow 2{\sin}^{2...
2022-01-26T14:54:46
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https://scicomp.stackexchange.com/questions/19082/strong-coupling-of-a-non-linear-multiphysic-problem-failure-with-newton-raphson/19205
# Strong coupling of a non-linear multiphysic problem: failure with Newton Raphson method I am trying to solve a multiphysic problem using finite elements and a Newton Raphson solution scheme. I have two non-linear subsystems that are coupled bi-directionally. The first subsystem includes an equation that I solve for...
2021-01-27T09:44:29
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http://www.ams.org/mathscinet-getitem?mr=1623032
MathSciNet bibliographic data MR1623032 (2000c:03026) 03C20 (03E05) Lipparini, Paolo Every $(\lambda\sp +,\kappa\sp +)$$(\lambda\sp +,\kappa\sp +)$-regular ultrafilter is $(\lambda,\kappa)$$(\lambda,\kappa)$-regular. Proc. Amer. Math. Soc. 128 (2000), no. 2, 605–609. Article For users without a MathSciNet license , Re...
2015-10-10T02:16:40
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https://www.vcalc.com/wiki/KurtHeckman/lever+%28beam+length%29
# lever (beam length) Not Reviewed y = Tags: Rating Copied from ID KurtHeckman.lever (beam length) UUID 84550150-d427-11e5-9770-bc764e2038f2 The Length of a Lever calculator (y = x • W/F )   Lever with beam (x+y) and fulcrum.computes the length (y) on the force side of the fulcrum to lift an object by leverage. INS...
2019-07-15T18:41:52
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https://www.cheenta.com/visualizing-complex-line-integral/
Visualizing Complex Line Integral [et_pb_section fb_built="1" _builder_version="3.0.47"][et_pb_row _builder_version="3.0.47" background_size="initial" background_position="top_left" background_repeat="repeat"][et_pb_column type="4_4" _builder_version="3.0.106" parallax="off" parallax_method="on"][et_pb_text _builder_v...
2021-06-22T21:17:58
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http://bib-pubdb1.desy.de/collection/Preprint?ln=en
# Preprints 2019-08-1214:12 [PUBDB-2019-02987] Preprint/Report et al Search for pair production of vector-like quarks in the fully hadronic final state [arXiv:1906.11903; CMS-B2G-18-005; CERN-EP-2019-129]   The results of two searches for pair production of vector-like T or B quarks in fully hadronic final states are...
2019-08-25T12:20:37
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http://mathhelpforum.com/calculus/279826-particle-moving.html
1. ## particle moving A particle of mass 6 kg starts from rest and is subject to a force which increases uniformly from 0N to 12N in a time of 20s. prove the acceleration of the particle is t/10 m/s^2 seconds after it begins to move. prove that after the particle has moved a distance s meters when its speed is v m/s t...
2018-02-18T23:09:57
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http://mathhelpforum.com/math-topics/15408-pairs-x-y.html
1. ## Pairs of (x,y) How many pairs (x,y) of positive integers satisfiy 2x+7y=1000 2. Originally Posted by ginafara The answer is all of the points x,y in Quadrant I, that lie on the line... y = (-2/7)x +1000 when y = 0, x = 500 so all of the integers from 0 -> 500, since it is defined over its domain, it would be ...
2017-02-25T09:40:42
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https://www.programsinformationpeople.org/runestone/static/publicPIP/Sequences/Exercises.html
# Exercises¶ 1. What is the result of each of the following: 1. ‘Python’[1] 2. “Strings are sequences of characters.”[5] 3. len(“wonderful”) 4. ‘Mystery’[:4] 5. ‘p’ in ‘Pineapple’ 6. ‘apple’ in ‘Pineapple’ 7. ‘pear’ not in ‘Pineapple’ 8. ‘apple’ > ‘pineapple’ 9. ‘pineapple’ < ‘Peach’ 1. ‘Python’[1] evaluates to ‘y’ 2...
2018-10-22T08:34:45
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https://www.physicsforums.com/threads/quick-question.703215/
# Quick question 1. Jul 27, 2013 ### oldspice1212 Hi guys, I've been having a pretty hard time understanding exactly what acceleration is, the definitions I usually see are always different, so from what I've read, I know acceleration is a vector quantity and the definition is basically change in velocity? So if let...
2017-11-23T02:55:01
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http://math.stackexchange.com/questions/360345/series-with-complex-terms-convergence
# Series with complex terms, convergence Could you tell me how to determine convergence of series with terms being products of real and complex numbers, like this: $\sum_{n=1} ^{\infty}\frac{n (2+i)^n}{2^n}$ , $\ \ \ \ \sum_{n=1} ^{\infty}\frac{1}{\sqrt{n} +i}$? I know that $\sum (a_n +ib_n)$ is convergent iff $\sum...
2015-06-30T13:03:33
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https://rdrr.io/cran/orthopolynom/man/jacobi.p.weight.html
# jacobi.p.weight: Weight function for the Jacobi polynomial Description Usage Arguments Details Value Author(s) References Examples ### Description This function returns the value of the weight function for the order k Jacobi polynomial, P_k^{≤ft( {α ,β } \right)} ≤ft( x \right). ### Usage 1 jacobi.p.weight(x,al...
2017-03-31T00:41:37
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https://hsm.stackexchange.com/questions/6098/riemann-surfaces-and-covering
# Riemann surfaces and covering Assuming we have a Riemann surface $S$ of degree $n$ and we look at it as a covering of the projective line $\mathbb{P}^1$. If $B$ is the set of branch points of $S$ (when $B$ is a subset in $\mathbb{P}^1$), then there is an epimorphism from the free group $\pi_1(\mathbb{P}^1 - B)$ to $...
2020-08-13T12:41:39
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http://pballew.blogspot.com/2011/08/on-this-day-in-math-aug-21.html
## Sunday, 21 August 2011 ### On This Day in Math - Aug 21 As for methods I have sought to give them all the rigour that one requires in geometry, so as never to have recourse to the reasons drawn from the generality of algebra. ~Augustin-Louis Cauchy The 233rd day of the year; 233 is the only three digit prime that...
2017-06-25T00:01:02
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http://math.stackexchange.com/questions/105172/what-is-the-conjugate-of-frac12-frac32i/105174
# What is the conjugate of $\frac{1}{2}+ \frac{3}{2}i$? What is the conjugate of $\dfrac{1}{2}+ \dfrac{3}{2}i$? Firstly, what is conjugation? And secondly, can you should the steps to doing this? "$i$" is the imaginary unit. - $\frac{1}{2}-\frac{3}{2}i$ –  Potato Feb 3 '12 at 2:22 The conjugate of $a+bi$ is $a-bi$.
2015-07-05T06:38:28
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https://fykos.org/year23/problems/series1
# 1. Series 23. Year ### 1. text scrolling in underground Information system in Prague underground has following feature: during scrolling text on the display to the left, the letters are tilted. Is there a simple way how to do this function on „hardware“ level? What effect will have this at text scrolling in vertica...
2019-02-18T08:36:30
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https://hal-ensta-paris.archives-ouvertes.fr/UPMC/hal-01102024v1
“Chinese & Match”, an alternative to Atkin's “Match and Sort” method used in the SEA algorithm - Archive ouverte HAL Access content directly Journal Articles Mathematics of Computation Year : 2001 ## “Chinese & Match”, an alternative to Atkin's “Match and Sort” method used in the SEA algorithm (1) , (2) 1 2 Antoine J...
2023-01-27T00:52:54
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https://math.stackexchange.com/questions/linked/14970
614 views ### Intuition for a proof that the rationals are incomplete. [duplicate] Let A be a set of positive rationals $p$ such that $p^2<2$. Now this set contains no upper bound. To prove this, for every rational $p$, a number $p- \frac{p^2-2}{p+2}$ is associated. This number (... 288 views ### Choice of $\xi$ [du...
2019-08-24T16:17:04
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https://www.xarg.org/puzzle/codesignal/fibonacciword/
# Codesignal Solution: fibonacciWord Original Problem The Fibonacci word sequence of bit strings is defined as: F(0) = "0" F(1) = "1" F(n) = F(n − 1) + F(n − 2) if n >= 2 Where + is the string concatenation operation. The first few elements are: np 0 0 1 1 2 10 3 101 4 10110 5 10110101 6 1011010110110 Given a n...
2022-05-29T04:42:48
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http://mathoverflow.net/questions/48394/an-operator-norm-version-of-siegels-lemma
# An operator-norm version of Siegel's Lemma Is there a kind of Siegel's Lemma saying that if $M$ is a small-height'' integer matrix, then there is a "small-height" vector $x$ with $\|Mx\|=\|M\|\|x\|$? (Here $\|Mx\|$ and $\|x\|$ denote the Euclidean norms, and $\|M\|$ is the operator norm, induced by the Euclidean nor...
2015-07-28T01:45:37
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https://testbook.com/question-answer/the-distance-of-1-cm-on-a-map-represents-7-m-on-th--6089720d3b6a2faa19694cd3
# The distance of 1 cm on a map represents 7 m on the ground. If the distance between the school and the home of the student is 700 m on the ground, then their distance on the map will be 1. 100 cm 2. 10 cm 3. 70 cm 4. 17 cm Option 1 : 100 cm ## Detailed Solution Given: The distance of 1 cm on the map represents 7...
2021-12-01T19:12:43
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https://socratic.org/questions/58eb4553b72cff1036e0cbf9
# How hydrochloric acid reduce PbCl_4 to lead metal, and oxidize chloride to chlorine gas? Apr 10, 2017 $P b {O}_{2} \left(s\right) + 4 H C l \left(a q\right) \rightarrow P b C {l}_{2} \left(s\right) + 2 {H}_{2} O \left(l\right) + C {l}_{2} \left(g\right)$ #### Explanation: $P \left(+ I V\right)$ is reduced to $P b...
2021-10-28T09:23:00
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http://ibmaths4u.com/viewtopic.php?f=16&t=117
## MYP Mathematics, midpoint number, algebra, geometry and trigonometry, statistics and probability, discrete mathematics. ### MYP Mathematics, midpoint MYP Mathematics, midpoint formula How can we find the coordinates of the midpoint of line segment BC where B(10,50) and C(20,30) ? Thanks Lucas Posts: 0 Joined: ...
2018-07-19T05:43:43
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https://www.nature.com/articles/s41598-020-65194-8?error=cookies_not_supported&code=6cf70a95-cce4-404a-8ac0-d304e40068b4
## Introduction Marine environmental conditions vary on multiple temporal scales, and under the influence of climate change, these conditions are likely to change in frequency and magnitude. Seawater temperature is a crucial environmental factor in determining drivers of coral physiology and coral reef ecology1,2,3,4....
2022-12-05T16:10:53
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https://girlsangle.wordpress.com/2017/10/31/girls-angle-bulletin-volume-11-number-1/
## Girls’ Angle Bulletin, Volume 11, Number 1 We begin the second decade of the Bulletin with a fascinating image by Arnaud Chéritat, CNRS/Institut de Mathématiques de Toulouse, called Two mating polynomial Julia sets. For more about these images, visit his website. The two images by him (on the cover and inside) were...
2018-01-16T09:26:53
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https://manual.q-chem.com/5.4/Ch7.S11.SS11.html
(June 30, 2021) For an ADC calculation it is important to ensure that there are sufficient resources available for the necessary integral calculations and transformations. These resources are controlled using the $rem variables MEM_STATIC and MEM_TOTAL. The memory used by ADC is currently 95% of the difference MEM_TOT...
2021-09-27T23:07:29
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https://www.dcode.fr/sudoku-solver
Search for a tool Sudoku Solver Tool/Solver to resolve sudoku/wordoku grids (directly or step by step). The aim of the sudoku game is to fill the rows and columns of a 9x9 grid with each digit only once. Results Sudoku Solver - Tag(s) : Number Games Share dCode and you dCode is free and its tools are a valuable h...
2020-04-09T06:06:55
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https://iq.opengenus.org/basics-of-machine-learning-image-classification-techniques/
# Basics of Machine Learning Image Classification Techniques #### machine learning image classification In this post, we will be focusing on different image classification techniques deployed to make the computer vision as smart as human vision. • What is Image Classification? • The pipeline of an image classificati...
2019-08-23T04:52:48
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https://mizar.uwb.edu.pl/version/current/html/mesfun13.html
:: Fubini's Theorem :: by Noboru Endou :: :: Copyright (c) 2019-2021 Association of Mizar Users theorem Th15: :: MESFUN13:1 for X being set for A being Subset of X for f being b1 -defined Relation holds f | (A ) = f | ((dom f) \ A) proof end; theorem Th10: :: MESFUN13:2 for X being set for f being PartFunc of X,ExtRE...
2022-07-02T06:15:04
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https://math.stackexchange.com/questions/987492/if-mub-0-then-mu-yb-x-0
# If $\mu(B)=0$ then $\mu_y(B_x)=0$ Let $B_x$ be the $x$-section of a $\mu_x\otimes \mu_y$-measurable set $B$, where $\mu_x\otimes \mu_y$, which I will call $\mu$, is the Lebesgue extension of the product measure $\mu_x\times \mu_y$ (both measures being $\sigma$-additive complete measures defined on $\sigma$-algebras ...
2019-10-20T08:46:52
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http://xuweitao.me/balanced-brackets.html
# Balanced Brackets Problem Information: AC date : 2017-05-15 Category : data structure->stack ## Question A bracket is considered to be any one of the following characters: (, ), {, }, [, or ]. Two brackets are considered to be a matched pair if the an opening bracket (i.e., (, [, or {) occurs to the left of a c...
2018-06-18T07:21:23
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https://socratic.org/questions/observation-of-sodium-sulfite-solid-added-to-a-little-alkaline-potassium-permang
# Observation of sodium sulfite solid added to a little alkaline potassium permanganate? Jun 5, 2018 Well what did you see? The colour would dissipate certainly, but was there a brown precipitate? Did it go green..? #### Explanation: In acidic medium sulfite would be oxidized to sulfate, and permanganate reduced to...
2019-08-20T18:33:28
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https://cs.stackexchange.com/questions/100483/why-do-you-need-at-least-lnn-many-comparison-to-sort-a-list
# Why do you need at least ln(n!) many comparison to sort a list? "If every element comparison (testing whether $$a_i \le a_j$$ ) provides at most one bit of information, argue that you need at least on the order of $$\ln(n!)$$ many tests/comparisons to sort the list." This is a question on my homework at the moment....
2022-07-01T02:32:55
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http://www.scottaaronson.com/blog/?p=1781
## Is There Anything Beyond Quantum Computing? So I’ve written an article about the above question for PBS’s website—a sort of tl;dr version of my 2005 survey paper NP-Complete Problems and Physical Reality, but updated with new material about the simulation of quantum field theories and about AdS/CFT.  Go over there,...
2016-09-26T00:12:43
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https://socratic.org/questions/what-is-7pi-6-radians-in-degrees
# What is (7pi)/6 radians in degrees? In degrees, $\frac{7 \pi}{6}$ is 210°. pi = 180°, so, we will use some logic here. pi/6 = 180/6 = 30° 7 * pi/6 = 7 * 30 = 210°
2021-06-20T08:55:32
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https://www.yccbio.net/2018/07/14/seeking-signal-in-the-midst-of-noise-with-r/
# Seeking signal in the midst of noise with R Photo by Anton Scherbakov on Unsplash Oftentimes, the sample I deal with is full of noise or confounding factors that I am not interested in. For example, human specimen is doomed noisy because the race, age, sex, occupation, or the life story of the subject would have in...
2021-04-10T11:05:09
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https://sikademy.com/answer/computer-science/discrete-mathematics/write-the-following-logical-arguments-as-predicate-expre-pnol/
is below this banner. Can't find a solution anywhere? NEED A FAST ANSWER TO ANY QUESTION OR ASSIGNMENT? You will get a detailed answer to your question or assignment in the shortest time possible. ## Here's the Solution to this Question a) U- set of allpeople C- students of this class P:U->{0,1}- predicat,P(X)=...
2022-07-06T10:39:45
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https://zbmath.org/?q=an%3A1301.05382
# zbMATH — the first resource for mathematics The $$f$$-vector of a representable-matroid complex is log-concave. (English) Zbl 1301.05382 Summary: We show that the $$f$$-vector of the matroid complex of a representable matroid is log-concave. This proves the representable case of a conjecture made by J. H. Mason [“Ma...
2021-03-08T21:47:40
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http://math.stackexchange.com/questions/173137/ratio-and-divisibility
# Ratio and divisibility Given that $5x=3y=z$ where $x, y, z$ are integers, each choice given below must be integer except? A) $z/15 \quad\quad$ B) $z/5 \quad\quad$ C) $z/3 \quad\quad\\$ D) $z/xy \quad\quad\\$ E) $x/3$ (Ans=D) How would I solve this problem any suggestions ? - The best way to solve this type of p...
2014-10-30T13:54:01
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https://ci2ma.udec.cl/publicaciones/prepublicaciones/prepublicacion.php?id=465
CI²MA - Publicaciones | Prepublicaciones ## Tomás Barrios, Edwin Behrens, Rommel Bustinza: ### Abstract: We analyze a new stabilized dual-mixed method applied to incompressible linear elasticity problems, considering two kind of data on the boundary of the domain: nonhomogeneous Dirichlet and mixed boundary conditio...
2022-07-01T05:44:23
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https://www.physicsforums.com/threads/choosing-unit-vectors-for-harmonic-motion-problems.792447/
# Choosing unit vectors for harmonic motion problems 1. Jan 15, 2015 ### Incand Consider a vertical pendulum affected by gravity (See the pdf file i included). Now i can choose two different opposite directions for my unit vectors which give me different equations. $$\downarrow : m\ddot x = mg-kx$$ $$\uparrow : m\dd...
2017-08-17T10:55:47
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https://brilliant.org/discussions/thread/method-wanted/
Method wanted Consider an $m\times n$ rectangular grid . Find the total number of paths one can reach from lower left corner to upper right corner . Plz post ur method and other variations possible in such questions, For example the number of shortest path possible from one corner to opposite corner is $\frac{(m+n)!...
2019-11-15T14:24:54
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http://ncatlab.org/davidcorfield/show/Modal+logic
# Contents ## First-order modal logic Syntactic side: Modal syntactic category in Makkai and Reyes, modal hyperdoctrine, Ghilardi and Meloni? Semantic side: Metaframes, counterpart frames, coherence frames (Kracht&Kutz, Shehtman/Skvortsov, Shirasu). Where do ionads (Richard Garner) and sheaf semantics (Awodey-Kishid...
2014-09-18T19:46:11
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https://www.esaral.com/q/find-the-ratio-in-which-the-line-segment-joining/
Find the ratio in which the line segment joining Question. Find the ratio in which the line segment joining A(1, – 5) and B( – 4, 5) is divided by the x-axis. Also find the coordinates of the point of division. Solution: The given points are : A(1, – 5) and B(–4, 5). Let the required ratio = k : 1 and the required p...
2022-12-03T08:41:08
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https://researchonline.ljmu.ac.uk/id/eprint/10595/
# The E-MOSAICS project: tracing galaxy formation and assembly with the age-metallicity distribution of globular clusters Kruijssen, JMD, Pfeffer, JL, Crain, RA and Bastian, N (2019) The E-MOSAICS project: tracing galaxy formation and assembly with the age-metallicity distribution of globular clusters. Monthly Notices...
2023-03-25T23:16:54
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https://mathoverflow.net/questions/289356/convex-sets-in-alexandrov-spaces
# Convex sets in Alexandrov spaces Let $X$ be a compact Alexandrov space with $curv\geq 1$ (and without boundary). Does $X$ always have a nontrivial compact convex subset without boundary? Definition of a convex subset: $A\subseteq X$ is called convex if for every two points $p ,q\in A$, there exists a minimizing geo...
2019-10-15T10:13:26
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http://mathoverflow.net/questions/168173/metric-density-theorem-in-most-general-setting
# Metric density theorem in most general setting? It's a consequence of Lebesgue's theorem that every measurable $E\subset\mathbb{R}^n$ has a metric density that's $1$ a.e. on $E$ and $0$ a.e. on $\mathbb{R}^n\setminus E$. What are the most general conditions on the measure space for this property to hold? -
2015-07-01T12:10:42
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https://math.stackexchange.com/questions/765464/proving-that-s-k-a-subset-mathbbn-a-k-for-k-in-mathbbn-is
Proving that $S_k = \{A \subset \mathbb{N} : |A| = k\}$ for $k\in\mathbb{N}$ is denumerable. [duplicate] I am having trouble with this problem for quite some time. I posted this question before but I still can not figure out this problem. So far,from the suggestion of user134824, I have tried to define an injective f...
2019-06-26T00:11:08
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https://socratic.org/questions/how-do-you-evaluate-the-integral-int-arctansqrtx
# How do you evaluate the integral int arctansqrtx? Jan 15, 2017 $\int \arctan \left(\sqrt{x}\right) \mathrm{dx} = \left(x + 1\right) \arctan \left(\sqrt{x}\right) - \sqrt{x} + C$ #### Explanation: $I = \int \arctan \left(\sqrt{x}\right) \mathrm{dx}$ Let $t = \sqrt{x}$. Finding $\mathrm{dx}$ in a usable form is si...
2020-12-05T12:37:16
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http://en.wikipedia.org/wiki/Strong_monad
In category theory, a strong monad over a monoidal category (C, ⊗, I) is a monad (T, η, μ) together with a natural transformation tA,B : ATBT(AB), called (tensorial) strength, such that the diagrams , , , and commute for every object A, B and C (see Definition 3.2 in [1]). If the monoidal category (C, ⊗, I) is clos...
2015-05-30T04:39:14
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https://cs.stackexchange.com/questions/32153/principles-of-programming-languages-understanding-judgements/32154
Principles of Programming Languages: Understanding Judgements I am taking a principles of programming languages class right now and am trying to understand the following judgement form. n' = -toNumber(v) ------------------ -v --> n' (Sorry, I can't post pictures yet. And Stack doesn't take LaTeX.) I think it means ...
2021-09-17T18:34:35
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https://gmatclub.com/forum/how-many-two-digit-whole-numbers-yield-a-remainder-of-1-when-divided-191802.html
GMAT Changed on April 16th - Read about the latest changes here It is currently 26 May 2018, 22:25 ### 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. Customized...
2018-05-27T05:25:07
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http://karlrosaen.com/ml/learning-log/2016-06-06/
# KarlRosaen Transforming random variables, joint and marginal distributions, and The Rule of the Lazy Statistician ## HW on transformation of random variables and joint density functions I've been catching up on probability homework from chapter 2. In this problem I had to prove this theorem: Let $F$ be a cdf, an...
2019-01-22T05:34:34
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https://electronics.stackexchange.com/questions/542535/buffer-amplifier-and-input-impedance
# Buffer amplifier and input impedance It is said that the input impedance of a buffer must be high enough so that it can isolate its input voltage and carry it to its output for driving purposes. What I do not understand is why we treat all the independent sources as shorts while calculating input impedance. I know ...
2021-10-28T21:06:17
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https://www.numerade.com/questions/factor-each-polynomial-if-a-polynomial-cannot-be-factored-write-prime-factor-out-the-greatest-com-19/
Enroll in one of our FREE online STEM summer camps. Space is limited so join now!View Summer Courses ### Factor each polynomial. If a polynomial cannot be… 02:46 Other Schools Need more help? Fill out this quick form to get professional live tutoring. Get live tutoring Problem 19 Factor each polynomial. If a polyn...
2020-08-07T15:25:36
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http://math.stackexchange.com/questions/52338/conformal-maps-onto-the-unit-disc-in-mathbbc/52358
# Conformal Maps onto the Unit Disc in $\mathbb{C}$ I am interested in finding explicit formulae for (better yet characterizing) conformal functions from various domains onto the open unit disc $\mathbb{D}\subset\mathbb{C}$, and in understanding the key ideas necessary to establish such functions. Specifically, what ...
2014-10-25T01:56:28
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https://www.sarthaks.com/101453/define-an-irrational-number
# Define an irrational number. 1.1k views Define an irrational number. by (22.3k points) selected A number which can neither be expressed as a terminating decimal nor as a repeating decimal is called an irrational number.For example, 1.01001000100001…
2021-10-15T22:54:28
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https://chemistry.meta.stackexchange.com/questions/4124/wrong-alternative-invocation-of-mathjax
# Wrong alternative invocation of MathJax It is commonly known that MathJax can be invoked with $...$ for inline mode and $$...$$ for display mode. The more latex-like invocation would be $$...$$ for inline mode and $...$ for display mode. This does not work as backslashes and brackets have a special meaning on stack...
2019-07-18T01:06:30
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http://physics.qandaexchange.com/?qa=2463/series-inductor-needed-for-an-arc-lamp-to-operate
# Series inductor needed for an arc lamp to operate 52 views An arc lamp requires a direct current of 10A and 80V to function.If it is connected to 220 V (rms) ,50 Hz AC supply the series inductor needed for it to work is close to: A) 0.08 H B) 0.044 H C) 0.065 H D) 80 H Since the frequency is less I thought that i...
2019-03-21T11:41:55
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