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TITLE: Connection between splitting field and quotient ring of polynomials
QUESTION [0 upvotes]: Suppose that $f(x) \in \mathbb{F}_p[x]$ is an irreducible polynomial. We will call a field $L$ a splitting field, if $f(x) = (x-a_1) \ldots (x-a_n)$ in $L$. Also i know how to construct a field from $f(x)$ and ring of polyn... | 130,150 |
By Uran Botobekov
May 2, 2019, the CACI Analyst
In January 2019, the Central Asian terrorist group Katibat Tawhid wal Jihad (KTJ) publicly renewed its Bayat (oath of allegiance) to Ayman al-Zawahiri, al Qaeda’s global chief. More than seven years after the killing of Osama bin Laden, al Qaeda continues to attract Centr... | 37,489 |
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Great Idea for a toy, BUT...... worthless for chewers!
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As Mother's Day has passed Boots have slashed the price of some of their Gift Sets down to just £16 each, when they're worth as much as £49! Choose from Ted Baker, Sanctuary, Soap & Glory and more, but you'll need to move fast as these will fly out at this price!
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\begin{document}
\title{Pointwise estimates for the derivative of algebraic polynomials}
\author{Adrian Savchuk}
\address{Taras Shevchenko National University of Kyiv, Kyiv, Ukraine}
\curraddr{Faculty of Mathematics and Mechanics, Academician Glushkov Avenue 4,
02000, Kyiv, Ukraine}
\address{University of Toulon,... | 85,562 |
Abstract
For transient symmetric Levy processes we determine a uniform lower bound for the Hausdorff dimension of the range of a process on various time sets. This complements earlier work which provided a uniform upper bound. An example is provided in which both bounds are attained.
Citation
W. J. Hendricks. "A Unifor... | 46,670 |
\begin{document}
\title{ Polynomial equations
and rank of matrices over $\mathbb{F}_{2} $ related to persymmetric matrices}
\author{Jorgen~Cherly}
\address{D\'epartement de Math\'ematiques, Universit\'e de
Brest, 29238 Brest cedex~3, France}
\email{Jorgen.Cherly@univ-brest.fr}
\email{andersen69@wanadoo.fr}
\... | 16,544 |
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TITLE: Does category Cat encode all it's properties in itself?
QUESTION [0 upvotes]: I want specifically know if one can tell that the morphisms between objects in a category are functors or not without being told that the studies category is $Cat$? That means does the objects and morphisms in between them in $Cat$ con... | 173,590 |
INFJ personality type is one of the sixteen personality types according to the MBTI typology. INFJ is referred to as “Artist”.
The basic characteristics of this personality type are:
- The rarest type, whimsical dreamer doubts about himself
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- Excellent observer, very empathetic
- ... | 72,111 |
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\begin{document}
\title{The Classification of Generalized Riemann Derivatives}
\author{J. Marshall Ash}
\address{Department of Mathematics, DePaul University\\
Chicago, IL 60614}
\email{mash@condor.depaul.edu}
\urladdr{http://www.depaul.edu/\symbol{126}mash/}
\author{Stefan Catoiu}
\email{scatoiu@condor.depaul.edu}
\ur... | 184,878 |
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\section{Introduction}
\label{sec:intro}
Methods based on global Radial Basis Functions (RBFs) have become quite popular for the numerical solution of the partial differential equations (PDEs) due to their ability to handle scattered node layouts, their simplicity of implementation and their spectral accuracy and conv... | 191,948 |
As many of us gather with family on Dies Natalis Solis Invicti and the year draws to a close, now seems as good a time as any to touch on just a few of the highlights and trends of the past year. There will be plenty that I don’t cover here, but feel free to add in your thoughts:
Unicorns heading for the cull
There’s n... | 119,045 |
Once, the answer is both “yes” and “no”. Sometimes it truly is plug-and-play with models working well across multiple simulators. But more often than not, moving VHDL-AMS models between simulators from different vendors isn’t as easy as you might think. The problem is not in the language itself, but in how the vendor i... | 64,792 |
\begin{document}
\title[Sums of CR functions from competing CR structures]
{Sums of CR functions from competing CR structures}
\author[David E. Barrett]{David E. Barrett}
\address{Department of Mathematics\\University of Michigan
\\Ann Arbor, MI 48109-1043 USA }
\email{barrett@umich.edu}
\author[Dusty Grundmeier]{Du... | 189,926 |
Slater and Gordon Lawyers UK Blog
Search Blog Articles by Area of Law
Viewing Blog Articles tagged with holiday claims
Wednesday 14th September 2016
Tips For Staying Safe Whilst on a Stag or Hen Trip Abroad | 128,840 |
\begin{document}
\title{Downlink Cellular Network Analysis with Multi-slope Path Loss Models}
\author{Xinchen~Zhang and Jeffrey G. Andrews\vspace{-0.8cm}
\thanks{Manuscript date \today.
Xinchen Zhang ({\tt xzhang7@alumni.nd.edu}) is now with Qualcomm Inc., San Diego, CA, USA. This work is completed when he was wi... | 178,206 |
(*
File: Fishburn_Impossibility.thy
Author: Manuel Eberl, TU München
Author: Christian Saile, TU München
Incompatibility of Pareto Optimality and Fishburn-Strategy-Proofness
*)
section \<open>Main impossibility result\<close>
theory Fishburn_Impossibility
imports
Social_Choice_Functions
begin
subse... | 211,463 |
\begin{document}
\maketitle
\begin{abstract}
In this article, we prove that for a finite quiver $Q$ the equivalence class of a potential up to formal change of variables of the complete path algebra $\wh{\CC Q}$, is determined by its Jacobi algebra together with the class in its 0-th Hochschild homology represented by ... | 101,763 |
Oxfam urges you to support women cocoa farmers to celebrate International Women's Day.
Chocolate is a $100 billion industry – but most cocoa farmers live on less than $2 a day. And the women working on cocoa farms have it the hardest.
Women on cocoa farms get less training than men – and they get paid less (if they get... | 48,397 |
Speaker: Dr. Henriette Elvang (Institute for Advanced Study, Princeton)
The unification of general relativity and quantum mechanics has long been an enticing, yet challenging, subject in theoretical physics. One difficulty is that graviton scattering amplitudes suffer from problematic divergences. However, it was recen... | 92,928 |
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\begin{document}
\newcommand{\hgt}{\operatorname{ht}}
\newcommand{\Hht}{\operatorname{Hht}}
\newcommand{\Ext}{\operatorname{Ext}}
\newcommand{\Hom}{\operatorname{Hom}}
\newcommand{\Supp}{\operatorname{Supp}_R}
\newcommand{\Ass}{\operatorname{Ass}_R}
\newcommand{\Att}{\operatorname{Att}_R}
\newcommand{\Min}{\operatornam... | 99,483 |
TITLE: How to integrate $\frac{x}{e^x - 1}$ w.r.t. x?
QUESTION [2 upvotes]: A friend of mine and I wanted to solve the following indefinite integral but got stuck:
$$
\int \frac{x}{e^x - 1} dx.
$$
My approach:
Let
$$
I = \int \frac{x}{e^x - 1} dx.\\
\implies I = x\int \frac{dx}{e^x - 1} - \int \left ( \int \frac{dx}{e... | 28,219 |
\begin{document}
\title[Laguerre expansions for $C_0$-semigroups and resolvent operators]
{$C_0$-semigroups and resolvent operators approximated by Laguerre expansions}
\author{Luciano Abadias}
\address{Departamento de Matem\'aticas, Instituto Universitario de Matem\'aticas y Aplicaciones, Universidad de Zaragoz... | 49,440 |
\section{Proof of Theorem A}
Now we are ready for the proof of \hyperlink{theoremA}{Theorem A}.
\begin{proof}[Proof of \hyperlink{theoremA}{Theorem A}]
It is more convenient to work with the inverse of $L$, which will have two stable exponents, and in this case we have to show that $L^n\circ f_t$ decreases the stro... | 11,557 |
Definition of pule
puled;
puling
Examples of pule in a sentence
a distressed baby puling in its crib
Origin and Etymology of pule
probably imitative
First Known Use: 14th century
Learn More about pule
See words that rhyme with pule Thesaurus: All synonyms and antonyms for pule
Writing? Check your grammar now! | 271,274 |
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City leaders plan on having the grass set in place and ready for action in time for resid... | 125,709 |
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Posted October 6, 2013
by Jerry Alatalo
Jeremy Gilley has invented a profound movement. He had an idea to name the date of September 21 as the “International Day of Peace“. His idea became a reality when the United Nations voted to do so in the General Assembly. Mr. Gilley recently created a documentary about his amazi... | 161,154 |
TITLE: Is parameterized complexity going to be the future of complexity theory?
QUESTION [10 upvotes]: I am a research scholar who works in Algorithms and Complexity theory, I use parameterized complexity to some extent. To me it appears that researchers in parameterized complexity are very active (I don't mean that ot... | 184,575 |
\section{Theorems of Hall, Rado, Ore, and Perfect}
\PRFR{Jan 15th}
D.J.A.~Welsh gives the following very elegant generalization of the
theorems of Rado and Hall in \cite{We71}. From this generalization, the theorems of Hall, Rado, Ore, and Perfect follow as an easy corollary each. Before we present the theorem, we ne... | 215,405 |
TITLE: Curve in $\mathbb{A}^3$ that cannot be defined by 2 equations
QUESTION [12 upvotes]: According to a problem in Shafarevich 1.6, every curve in $\mathbb{A}^3$ can be cut out by 3 equations.
Can someone give me an example of a curve in $\mathbb{A}^3$ that is not cut out by 2 equations?
REPLY [15 votes]: This is ... | 51,954 |
\begin{document}
\setcounter{page}{0}
\newcommand{\inv}[1]{{#1}^{-1}}
\renewcommand{\theequation}{\thesection.\arabic{equation}}
\newcommand{\be}{\begin{equation}}
\newcommand{\ee}{\end{equation}}
\newcommand{\bea}{\begin{eqnarray}}
\newcommand{\eea}{\end{eqnarray}}
\newcommand{\re}[1]{(\ref{#1})}
\newcommand... | 167,387 |
Tedavi özeti
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{\bf Problem.} Triangles $ABC$ and $AEF$ are such that $B$ is the midpoint of $\overline{EF}.$ Also, $AB = EF = 1,$ $BC = 6,$ $CA = \sqrt{33},$ and
\[\overrightarrow{AB} \cdot \overrightarrow{AE} + \overrightarrow{AC} \cdot \overrightarrow{AF} = 2.\]Find the cosine of the angle between vectors $\overrightarrow{EF}$ an... | 55,430 |
Phillips’ New BioLight runs on bacteria
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The search for greener, more power-efficient lighting systems won’t stop with compact fluorescents and LED
I have been staying with my sister and brother-in... | 115,081 |
\begin{document}
\setlength\abovedisplayskip{2pt}
\setlength\abovedisplayshortskip{0pt}
\setlength\belowdisplayskip{2pt}
\setlength\belowdisplayshortskip{0pt}
\begin{center}
{\bf \LARGE A Generalization of Exponential Class and Its
Applications\footnote{Corresponding author: GAO Hongya, E-mail:
ghy@hbu.cn, TEL: 86312... | 95,290 |
The Affordable Care Act authorizes the Secretary to award grants to states for the purpose of improving their review of proposed rates in the individual and small group health insurance markets.1 The law appropriates $250 million for rate review grants for a five year period, fiscal years 2010 through 2014. Each state ... | 86,430 |
Research is a major activity at all levels within the College of Liberal Arts and Sciences, from undergraduate research experiences to thesis and dissertation work of graduate students to faculty scholarship. The research activities of this college are more diverse than those of any other college on campus and have gai... | 100,171 |
TITLE: What is the probability of choosing a 4-digit number that starts with 1 or 2, and has at least 3 of the same digit?
QUESTION [0 upvotes]: This is a question that I haven’t been able to solve!
Some more information:
The four digit number must start with either 1 or 2.
I’ve assumed that combinations is required, ... | 23,815 |
Advantages fireplace that uses only outside air to sustain the fire. Air is drawn in from outside your home through a small vent into the firebox, where it supplies the fire, after which the new spent air leaves through another vent back outside your home. Due to the laws of convection, this process happens naturally a... | 363,878 |
Advice absorb each of the advice and you are sure to benefit from it.
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Away With the Out-of-date Tram !
Page 14
If you've noticed an error in this article please click here to report it so we can fix it.
DERIODICALLY we hear calls from various .11 quarters, not excluding well-known municipaltransport engineers, for the revival of interest in tramways, and even suggestions that they should... | 194,612 |
TITLE: How to express the basis of a subspace?
QUESTION [2 upvotes]: Find a basis for this subspace of $\mathbb{R}^4$:
All vectors whose components add to zero.
I think I know what this is asking but I don't know how to express the final answer.
All vectors whose components add to zero means we have $3$ free variable... | 47,717 |
Hi,
Tomorrow is the anniversary of Stalin’s last of three Trial of Twenty-One (1938), it’s Texas independence from Mexico (1836), the movie Sound of Music’s premier (1965), Mt Rainier National Park was established (1899), the Federal highway numbering system was introduced (1925) and the Battle of Bismark (1943). Birth... | 407,068 |
Growing up a dancer, I’m accustomed to driving myself physically. I need to challenge myself physically in order to find be fulfilled.
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Paulk: Johnson's past mastery bodes well at Brickyard
The Brickyard 400 may not be the biggest race of the Sprint Cup season, but it's likely to separate the championship contenders from the pretenders.
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TITLE: What is internal space translation?
QUESTION [3 upvotes]: While I was reading the paper named "Classical time crystals," by A. Shapere and F. Wilczek, I found the following transformation.
$$f(x) \to f(x+e) - \frac{df}{dx}*e$$
It says the transformation is combined internal space-real space translation.
What is ... | 77,974 |
\begin{document}
\begin{abstract}
The paper deals with existence and multiplicity of solutions
of the fractional Schr\"{o}dinger--Kirchhoff equation
involving an external magnetic potential. As a consequence,
the results can be applied to the special case
\begin{equation*}
(a+b[u]_{s,A}^{2\theta-2})(-\Delta)_A^su+V(x)... | 88,391 |
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TITLE: Problem related to continuous functions on real numbers
QUESTION [1 upvotes]: Let $X$ be a subset of $\mathbb R$ and let $f, g : X \to X$ be two continuous functions such that $f(X) \cap g(X) = \emptyset$ and $ f(X) \cup g(X) = X.$ Then which one of the following sets can't be equal to $X.$
$[0,1]$
$[0,1)$
$(0,... | 5,006 |
TITLE: Plane from intersection line and point
QUESTION [1 upvotes]: The task: Determine the plane containing point $P( -5 , 2 , 3 )$ and going through the intersection line of the planes $2x + y + 5z = 31$ and $-4x + 5y + 4z = 50$
1.: Intersect the two given planes, resulting in a line in parameter form ( $X = P + t * ... | 20,505 |
Unknown
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I am a ... | 199,151 |
1/29/2017
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A man walking through the woods near a river hears desperate screams for help. He runs to the river to see someone struggling as the river pulls him downstream. He jumps in and pulls the person to safety.
As soon as he gets to the shore, he hears another person coming downstream, screaming for help. He jumps back in an... | 168,014 |
\begin{document}
\title{Quantum Monodromy in the Isotropic 3-Dimensional Harmonic Oscillator}
\author{Irina Chiscop$^1$, Holger R. Dullin$^2$, Konstantinos Efstathiou$^1$, and Holger Waalkens$^1$\\
\small $^1$Bernoulli Institute for Mathematics, Computer Science and Artificial Intelligence, University of Groningen\... | 202,898 |
TITLE: Relation between Combinatorics and Sum of First $(n-1)$ Natural Numbers
QUESTION [0 upvotes]: Is it mere coincidence that ${n \choose 2}$ is equal to the sum of the first $(n-1)$ natural numbers both of which happen to be $\frac{n(n-1)}{2}$?
A Proof of the relation is appreciated. Thanks
REPLY [1 votes]: It is ... | 43,229 |
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\begin{document}
\title[
Dynamical
systems with fast switching and slow diffusion]{
Dynamical systems with fast switching and slow diffusion: hyperbolic equilibria and stable limit cycles}
\author[N. H. Du]{Nguyen H. Du}
\address{Department of Mathematics, Mechanics and
Informatics\\
Hanoi National University\\
334 Ngu... | 90,277 |
Fidel Castro described the destruction left by Category Four Hurricane Gustav as similar to the aftermath of a nuclear bombing. While the damage is extensive, and will take years to put right, the island’s renowned Civil Defense system evacuated hundreds of thousands of people from Gustav’s path, ensuring that whatever... | 114,408 |
Once again, I'm all apologies--this blog has been terribly neglected. This summer I've gotten a fairly decent start on my dissertation draft, written my first journal article, and planned a wedding, so this blog has slipped off my radar again. I've completely missed the boat on reacting to the London 2012 Olympics cere... | 83,090 |
\subsection{Complex surfaces}
Throughout this paper, $X$ will denote a complex surface, by which we mean a
connected compact complex manifold of complex dimension two. Usually
$X$ will be rational. The book \cite{BHPV} is a good
general reference for complex surfaces. Here we recount only needed facts.
Given divi... | 26 |
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Hello all, after my friend told me about a system update for my Droid X, I was stoked and immediately updated it. I regret it, it lags horribly, my browser force closes ALL the time, my keyboard lags and the buttons stick, and when typing a word it will follow it by some random word...example: "Today I went to the stor... | 368,319 |
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Navigation, State Parameter, and Microphysics HRT Data in GENPROI format
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\begin{document}
\title{On Laplacian energy of non-commuting graphs of finite groups }
\author{Parama Dutta and Rajat Kanti Nath\footnote{Corresponding author}}
\date{}
\maketitle
\begin{center}\small{ Department of Mathematical Sciences,\\ Tezpur
University, Napaam-784028, Sonitpur, Assam, India.\\
Emails: parama... | 189,896 |
779 – Sunday 16th July 2017: Preparations
The big day has come – the start of Summer Euro 2017 (not footie) mini tour! Finished laundrifying at Royal Rothbury, filled with LPG in Guildford and started to a wild camping spot on the coast near Folkestone. Well, the lanes got narrower and narrower (are we in Sicilia?) – s... | 323,487 |
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TITLE: Find the higher order expansion for det(I+ϵA) where ϵ is small
QUESTION [0 upvotes]: For small $\epsilon$ I want to prove
\begin{align}
\det(I+\epsilon A) = 1 + \epsilon tr(A) + \frac{\epsilon^2}{2} \left((tr(A))^2 - tr(A^2) \right) + O(\epsilon^3)
\end{align}
Furthermore I want to know how to calculate higher ... | 199,277 |
TITLE: What actually is the idea behind the condensed mathematics?
QUESTION [26 upvotes]: Condensed mathematics is the (potential) unification of various mathematical subfields, including topology, geometry, and number theory. It asserts that analogs in the individual fields are instead different expressions of the sam... | 160,121 |
TITLE: A (possible) error in Ahlfors' text (analytic continuation along arcs)
QUESTION [4 upvotes]: In Ahlfors' complex analysis text, page 289 he discusses analytic continuation along arcs. I will start with some background
Let $\mathbf{f}$ be a global analytic function, with corresponding Riemann surface $\mathfrak{S... | 211,777 |
July 10, 2016
I took the suggestion from another review. I had my deep fryer on 375 and cooked the hot dogs 3 minutes 20 second. They came out fantastic. My autistic son even ate them doing his usual thing of cutting off anything charred. I ate mine with fresh diced onions and BBQ sauce. Gave the bacon a smokey flavor.... | 31,939 |
\begin{document}
\title{Polynomial Invariants, Knot Homologies, and Higher Twist Numbers of Weaving Knots $W(3,n)$}
\author{
Rama Mishra
\thanks{We thank the office of the Dean of the College of Arts and Sciences,
New Mexico State Universi... | 39,165 |
Pond Spring, the General Joe Wheeler Home
- Location: : 12280 Hwy. 20, Hillsboro, AL 35643
- Phone: (256) 637-8513
AboutLocated near Courtland, Alabama, Pond Spring was home to Joseph Wheeler, former Major General of Cavalry of the Confederate western army, The Army of Tennessee. Wheeler was also a long-time U.S. Congr... | 389,013 |
Jehan le Taintenier or Jean Teinturier, Latinised in Johannes Tinctoris (aka Jean de Vaerwere) (c. 1435 - 1511) was a Renaissance composer and music theorist from the Low Countries.;[1][2] certainly Tinctoris must at least have known the elder Burgundian there. Tinctoris went to Naples about survived shows a love for c... | 257,176 |
One Stabbed To Death In Suspected Cult War In Diobu
One person has been stabbed to death in suspected cult war at Azikiwe street smile 2,Diobu,PortHarcourt,Rivers state,Nigeria this evening
We learnt that a disagreement broke out between two suspected cult group drinking at a bar in 40 Azikiwe street at about 8:00pm th... | 374,828 |
TITLE: Is there a non-split algebraic torus (over a finite field) satisfying the following properties?
QUESTION [5 upvotes]: Is there a non-split algebraic torus $T$ (over a finite field $\mathbb{F}_{\!q}$) satisfying the following properties?
$T$ is not $\mathbb{F}_{\!q}$-isomorphic to the direct product of algebraic... | 76,444 |
We’re always on the lookout for cool, summer sandals and the moment we saw this rope version from Toteme we knew we had to snatch them up immediately for our suitcase (and we did!). I mean, these are the kind of thing we would usually search high and low for on our travels…and here they were, right in our own backyard!... | 242,841 |
Growing Future has joined the ranks of those who want to raise awareness about well intended, poorly structured “help.” This cyber-censorship project is getting a lot of attention, because people want the freedom to use the websites they want to use. The Internet was created as a “wild frontier,” where people could say... | 149,542 |
Talking to Mike Schur About ‘Parks and Rec’, ‘Brooklyn Nine-Nine’, and Writing with Bill Murray, [...]
, premieres tonight on Fox. Schur co-created the ensemble show with longtime Parks writer Dan Goor, and it’s one of the most promising comedies of the new TV season. I had the chance to talk to Mike Schur last week ab... | 37,551 |
A quiet revolution is underway. It’s made up of rumbling conversation, growing louder, and small shifts in societal perceptions, rules, norms.
I am talking about menopause.
Menopause is a word that’s still sometimes used in a derogatory fashion (we have all no doubt on occasion heard a reference to someone being “menop... | 412,602 |
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Edit these OPENING HOURS 119 N Columbia Ave, Rincon, 31326, Usa
Rincon
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today
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Tel: (912) 826-2644 Rincon, 119 N Columbia Ave and all other Branches is for reference only.
It is strongly recommended that you get in touch with the Branch Tel: (912) 826-212) 826-2644 to check hours.
We have made efforts to ens... | 217,494 |
My mile eater has developed a droning noise in the front end like a worn wheel bearing but I haven't determined that is the problem yet. I am pretty good and fixing things but not so great at diagnosing some problems.
So far I jacked up the right wheel and it seemed hard to rotate, then I jacked up the left and it rota... | 344,046 |
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