text:
\section{Introduction}
Let $(X^n,\omega)$ be a compact K\"ahler manifold, and $\alpha$ a closed real $(1,1)$ form on $X$, whose cohomology class $[\alpha]$ is pseudoeffective, i.e. it contains some closed positive $(1,1)$ current. The set of all such classes form a closed cone $\mathcal E(X)\subset H^{1,1}(X,\mathbb{R})$ called the pseudoeffective cone, and it is known that the volume function,
\[
\mathrm{vol}(\alpha) := \sup_{0\leq T\in[\alpha]} \int_X T_{\mathrm{ac}}^n
\]
as defined for cohomology classes in \cite{Bo}, has the property that $\mathrm{vol}(\alpha) > 0$ if and only if $\alpha$ is in the interior of $\mathcal E(X)$, in which case we say that $[\alpha]$ is a big class \cite{Bo}. Furthermore, the volume function is continuous on all of $\mathcal E(X)$.

When $X$ is projective and $[\alpha]=c_1(L)$ for some holomorphic line bundle $L$, then Boucksom \cite{Bo} showed that
$$\mathrm{vol}(c_1(L))=\lim_{m\to\infty}\frac{h^0(X,L^m)}{m^n/n!}=:\mathrm{vol}(L),$$
namely the volume agrees with the algebraic definition (see Lazarsfeld's monograph \cite{Laz} for more on the volume of line bundles).

In this paper, we would like to investigate the asyptotics of the volume function near the boundary of the pseudoeffective cone. More precisely, if $[\alpha]\in\partial\mathcal E(X)$ (which we shall assume from now on), we would like to study the behavior of
\[
\mathrm{vol}(\alpha + t\omega)
\]
as $t > 0$ tends to zero. As mentioned above, the fact that $[\alpha]\in\partial\mathcal E(X)$ implies that $\mathrm{vol}(\alpha + t\omega)\to 0$ as $t\searrow 0$, and we would like to understand the rate at which this approaches zero. For example, if $[\alpha]$ is nef (i.e. a limit of K\"ahler classes), then Boucksom \cite{Bo} showed that for all $t\geq 0$ we have
\begin{equation}\label{nientesaleinzucca}
\mathrm{vol}(\alpha+t\omega)=\int_X(\alpha+t\omega)^n=t^{n-k}\binom{n}{k}\int_X\alpha^k\wedge\omega^{n-k}+O(t^{n-k+1}),
\end{equation}
where $0\leq k<n$ is the largest nonnegative integer such that $\int_X\alpha^k\wedge\omega^{n-k}\neq 0$ (or equivalently, such that $[\alpha^k]\neq 0$ in $H^{k,k}(X,\mathbb{R})$). This integer, denoted by $\mathrm{nd}(\alpha)$, is called the {\em numerical dimension} of the nef class $[\alpha]$, and \eqref{nientesaleinzucca} shows that $\mathrm{vol}(\alpha+t\omega)\sim t^{n-\mathrm{nd}(\alpha)}$ when $[\alpha]$ is nef.

When $[\alpha]$ is merely pseudoeffective, there are a number of natural notions of numerical dimension of $[\alpha]$, starting from the algebraic work of Nakayama \cite{Nak} and of Boucksom-Demailly-P\u{a}un-Peternell \cite{BDPP} on K\"ahler manifolds, and several inequalities relating them were proved by Lehmann \cite{Le} and Eckl \cite{Ec}. We will consider one such notion, introduced in \cite{BDPP}, which is the direct analog of what happens in the nef case, namely
$$\mathrm{nd}(\alpha):=\max\{k\in\mathbb{N}\ |\ \langle\alpha^k\rangle\neq 0 \textrm{ in }H^{k,k}(X,\mathbb{R})\},$$
where $\langle \alpha^k \rangle$ is the positive intersection product of Boucksom \cite{BDPP} (see also \cite{BEGZ} in the transcendental case). When $[\alpha]$ is nef we have $\langle\alpha^k\rangle=[\alpha^k]$, so this is consistent with the definition in the nef case. Also, we have that $\int_X\langle\alpha^n\rangle=\mathrm{vol}(\alpha)$, so if $[\alpha]\in\partial\mathcal E(X)$ then we have $0\leq \mathrm{nd}(\alpha)<n$.

Insipired by what happens in the nef case, we first study the following question:
\begin{que}\label{con}
Let $(X^n,\omega)$ be a compact K\"ahler manifold and $[\alpha]$ a pseudoeffective $(1,1)$ class with $\mathrm{vol}(\alpha)=0$.
Do we have that
$$\mathrm{vol}(\alpha+t\omega)=O(t^{n-\mathrm{nd}(\alpha)}),$$
as $t>0$ approaches zero?
\end{que}

As mentioned above, the answer is affirmative if $[\alpha]$ is nef. Not surprisingly, the answer is also affirmative when $n=2$, see Proposition \ref{surfaces} below. Our main result is the following:

\begin{thm}\label{main}
Question \ref{con} has an affirmative answer if either:
\begin{itemize}
\item[(a)] $\mathrm{nd}(\alpha)=n-1$, and the volume function $\mathrm{vol}(\cdot)$ is differentiable in the big cone, or
\item[(b)] $\mathrm{nd}(\alpha)=0$.
\end{itemize}
\end{thm}
In the first item (a), let us remark that differentiability of the volume function is known to hold on projective manifolds by \cite{WN,BDPP,BFJ}, and is conjectured to be true on arbitrary compact K\"ahler manifolds \cite{BDPP}.

However, starting from $n=3$, counterexamples to Question \ref{con} were very recently constructed by Lesieutre in \cite{Les}. Specifically, he constructs a Calabi-Yau $3$-fold $X$ with a class $[\alpha]$ as above such that $\mathrm{nd}(\alpha)=1$ and
$$\mathrm{vol}(\alpha+t\omega)=O(t^{\frac{3}{2}}).$$
This naturally raises the question whether there is a potentially new notion of numerical dimension coming from the asymptotics of the volume function, and we discuss this briefly in Section \ref{end}.

This paper is organized as follows. In the next section, we start with some simple initial observations, then prove item (a) in Theorem \ref{main}, and also the fact that Question \ref{con} has an affirmative answer on surfaces. In section \ref{zero} we then deal with item (b), when the numerical dimension is zero, and show that the volume function is actually polynomial along small perturbations near such classes. Finally, in Section \ref{end} we briefly discuss a possible direction of further inquiry concerning the recent paper \cite{Les}.\newline

\noindent
{\bf Acknowledgments. } I would like to thank John Lesieutre for sharing his recent preprint \cite{Les} with me while preparing this note and for his many helpful suggestions regarding it, S\'ebastien Boucksom for the proof of Proposition \ref{surfaces}, and Jean-Pierre Demailly, Rob Lazarsfeld, David Witt Nystr\"om and Jian Xiao for related discussions. I would also like to thank my advisor Valentino Tosatti for his continued patience and guidance.

\section{Preliminary Observations}
Throughout this paper, $(X^n,\omega)$ will be a compact K\"ahler manifold, and $\alpha$ a closed real $(1,1)$ form on $X$ whose cohomology class $[\alpha]\in H^{1,1}(X,\mathbb{R})$ is pseudoeffective, but not big, so that $\mathrm{vol}(\alpha) = 0$. Monotonicity and homogeneity of the volume then imply immediately that one always has the following lower bound:
\[
\mathrm{vol}(\alpha + t\omega) \geq \mathrm{vol}(\omega)t^n = \left(\int_X\omega^n\right)\ t^n.
\]
Moreover, if we assume that the volume function $\mathrm{vol}(\cdot)$ is differentiable in the big cone (which is satisfied on all projective manifolds by \cite{WN,BDPP,BFJ} and conjectured to be always true \cite{BDPP}), one always has the following upper-bound:
\begin{prop}\label{Diff}
Let $(X^n,\omega)$ be a compact K\"ahler manifold and $[\alpha]$ a pseudoeffective $(1,1)$ class with $\mathrm{vol}(\alpha)=0$.
Assume that $\mathrm{vol}(\cdot)$ is differentiable on the big cone. Then there exists $C>0$ such that
\[
 \mathrm{vol}(\alpha + t\omega) \leq C t,
\]
for all $t\geq 0$ sufficiently small.
\end{prop}
\begin{proof}
Thanks to Boucksom-Favre-Jonsson \cite{BFJ}, the assumption of differentiability of $\mathrm{vol}(\cdot)$ implies that
$$\frac{d}{dt}\bigg|_{t=t_0}\mathrm{vol}(\alpha+t\omega)=n\langle (\alpha + t_0\omega)^{n-1}\rangle \cdot\omega.$$
Using this together with the fundamental theorem of calculus and the monotonicity of the positive intersection product, we have:
\[
 \mathrm{vol}(\alpha + t\omega) - \mathrm{vol}(\alpha) = n\int_{0}^t \langle(\alpha + s\omega)^{n-1}\rangle \cdot \omega\ ds\leq n\left(\langle (\alpha + \omega)^{n-1}\rangle \cdot\omega\right) t.
\]
Hence, since $\mathrm{vol}(\alpha) = 0$, we get:
\[
 \mathrm{vol}(\alpha + t\omega) \leq C t,
\]
for all $0 < t \leq 1$.
\end{proof}
Recall that the numerical dimension of a pseudoeffective $(1,1)$ class is defined by \cite{BDPP} to be:
\begin{defn}
The numerical dimension of a pseudoeffective $(1,1)$ class $[\alpha]$ is defined to be
$$\mathrm{nd}(\alpha):=\max\{p\in\mathbb{N}\ |\ \langle\alpha^p\rangle\neq 0 \textrm{ in }H^{p,p}(X,\mathbb{R})\},$$
where $\langle \alpha^p \rangle$ is the positive intersection product of Boucksom \cite{BDPP,BEGZ}. In particular, if $[\alpha]$ is not big then we have $0\leq \mathrm{nd}(\alpha)\leq n-1$.
\end{defn}
It has then been established in \cite{Le} that the lower bound for the volume is actually directly related to $\mathrm{nd}(\alpha)$. We reproduce the following short proposition verbatim from \cite[Theorem 6.2]{Le} (noting that it applies to general compact K\"ahler manifolds and $(1,1)$ classes), for the reader's convenience:

\begin{prop}\label{Leh}
We have that
$$\mathrm{nd}(\alpha)=\max\{p\in\mathbb{N}\ |\ \exists c>0 \textrm{ such that }\mathrm{vol}(\alpha+t\omega)\geq c t^{n-p}, \textrm{ for all }t>0\}.$$
\end{prop}
\begin{proof}
For any $p\geq 0$ we have
$$t^{n-p}\langle(\alpha+t\omega)^p\rangle \cdot \omega^{n-p}=\langle (\alpha+t\omega)^p\cdot (t\omega)^{n-p}\rangle\leq \langle (\alpha+t\omega)^n\rangle=\mathrm{vol}(\alpha+t\omega),$$
and so we conclude that $\mathrm{vol}(\alpha+t\omega)\geq ct^{n-\mathrm{nd}(\alpha)}$ for some $c>0$ and all $t>0$. This shows that
$$\mathrm{nd}(\alpha)\geq\max\{p\in\mathbb{N}\ |\ \exists c>0 \textrm{ such that }\mathrm{vol}(\alpha+t\omega)\geq c t^{n-p}, \textrm{ for all }t>0\}.$$
Conversely, if $p$ is the maximum on the RHS, then for every $c>0$ there is some $t>0$ such that $\mathrm{vol}(\alpha+t\omega)<ct^{n-p-1},$ and so for this value of $t$ we have
$$ct^{n-p-1}>\mathrm{vol}(\alpha+t\omega)\geq t^{n-p-1}\langle(\alpha+t\omega)^{p+1}\rangle \cdot \omega^{n-p-1},$$
i.e. $$\langle(\alpha+t\omega)^{p+1}\rangle \cdot \omega^{n-p-1}<c.$$
But the LHS of this is increasing in $t$, and so this inequality holds for all $t>0$ sufficiently small, and letting $t$ tend to zero gives
$$\langle \alpha^{p+1}\rangle \cdot \omega^{n-p-1}<c.$$
Since $c>0$ is arbitrary, we conclude that
$$\langle \alpha^{p+1}\rangle \cdot \omega^{n-p-1}=0,$$
and since $\langle \alpha^{p+1}\rangle$ is represented by a strongly positive $(p+1,p+1)$ current, we conclude that
$\langle\alpha^{p+1}\rangle=0$ in cohomology, as required.
\end{proof}

By combining Propositions \ref{Diff} and \ref{Leh}, we immediately deduce item (a) of our main theorem \ref{main}.

Next, we show that Question \ref{con} has an affirmative answer of all (not necessarily projective) surfaces. The following proof was communicated to us by S. Boucksom:

\begin{prop}\label{surfaces}
Question \ref{con} has an affirmative answer when $n=2$.
\end{prop}
\begin{proof}
To see this, let $\alpha=P+N$ and $\alpha+t \omega=P_t+N_t$ be the Zariski decompositions of $\alpha$ and $\alpha + t\omega$, which always exist on surfaces \cite{Zar}. Let $E_i$ be the irreducible components of the non-K\"ahler locus $E_{nK}(\alpha)$ (see \cite{Bo2}), so that:
\[
N = \sum_i \nu(\alpha, E_i) E_i,
\]
where $\nu(\alpha,E_i)$ is the minimal multiplicity of $\alpha$ along $E_i$ \cite[Def. 3.1]{Bo2}. Now it is clear that $N_t\le N$, so we also have:
\[
N_t= \sum_i \nu(\alpha + t\omega, E_i) = \sum_i (\nu(\alpha, E_i) -a_i(t)) E_i
\]
for nonnegative constants $a_i(t)\to 0$, by lower semicontinuity of the minimal multiplicity \cite[Prop. 3.5]{Bo2}. Indeed, for all $i$ we have
$$\nu(\alpha,E_i)\leq\liminf_t \nu(\alpha+t\omega,E_i)\leq \limsup_t\nu(\alpha+t\omega,E_i)\leq \nu(\alpha,E_i),$$
where the last inequality follows immediately from the definition of $\nu$.

It follows now that, for $t$ small enough, $P_t=P+t \omega+\sum a_i(t) E_i$ is orthogonal to each $E_i$, and since $P$ itself is orthogonal to each $E_i$, we may dot both sides against $E_j$ to get that:
\[
\sum_i a_i(t) E_i\cdot E_j=-t \omega\cdot E_j.
\]
By non-degeneracy of the Gram matrix $(E_i\cdot E_j)$, it thus follows that $a_i(t)=O(t)$, and hence
\[
\mathrm{vol}(\alpha+t \omega)=(P_t^2)= \left(P+t \omega+\sum a_i(t) E_i\right)^2 =(P+t \omega)^2+O(t^2),
\]
using again that $P$ is orthogonal to each $E_i$. Finally, note that $P^2 = \mathrm{vol}(\alpha) = 0$ and that (by definition) $P=\langle[\alpha]\rangle$, so that:
\[
(P + t\omega)^2 = 2(P\cdot \omega) t + (\omega^2) t^2 = c t^{2-\mathrm{nd}(\alpha)}+O(t^2)
\]
as desired.
\end{proof}

\section{Numerical Dimension Zero}\label{zero}

In this section, we deal with the case when the class $[\alpha]$ has numerical dimension zero. Recall that having $\mathrm{nd}(\alpha)=0$ is equivalent to having that $[\alpha]= N(\alpha)$,  where here $N(\alpha)$ is the negative part in the divisorial Zariski decomposition of \cite{Bo2} (see also \cite{Nak} for the algebraic case). In particular, $N(\alpha)$ is the cohomology class of some effective $\mathbb{R}$ divisor $D$.
\begin{prop}
Let $X^n$ be a compact K\"ahler manifold, let $[\alpha]=[D]$ be a $(1,1)$-class with $\mathrm{nd}(\alpha)=0$, and let $[\beta]$ be any other $(1,1)$ class. Then there exists a constant $C\geq 0$ such that for all $t > 0$ sufficiently small we have:
\[
\mathrm{vol}([D] + t\beta) = Ct^n.
\]
In particular, Question \ref{con} has an affirmative answer when $\mathrm{nd}(\alpha)=0$.
\end{prop}
\begin{proof}
If $D+t\beta$ is not big for all small $t > 0$, then we may simply set $C = 0$. Otherwise, we may assume that $D + t\beta$ is big for all sufficiently small $t > 0$. Note now that the proposition is equivalent to asking that $\mathrm{vol}(\frac{1}{t}[D] + \beta) = C$ for all $t$ sufficiently small.

To this end, suppose we show that
\begin{equation}\label{goal}
\mathrm{Supp}(D)\subseteq E_{nK}([D] + t\beta) = E_{nK}\left(\frac{1}{t}[D] + \beta\right),
\end{equation}
for all $0<t\leq t_0$ sufficiently small. Then for all $0<t<t_0$ we can apply \cite[Theorem 3.7]{DFT} to the class $\frac{1}{t_0}[D] + \beta$ and conclude that
$$\mathrm{vol}\left(\frac{1}{t}[D] + \beta\right)=\mathrm{vol}\left(\frac{1}{t_0}[D] + \beta+\left(\frac{1}{t}-\frac{1}{t_0}\right)[D]\right)=\mathrm{vol}\left(\frac{1}{t_0}[D] + \beta\right),$$
which is indeed constant as $t$ varies.

To prove \eqref{goal}, we shall first deal with the case when $\beta = \omega$ is a K\"ahler class. It follows from \cite[Def. 3.7]{Bo2} that, if $D$ is a divisor with $\mathrm{nd}(D)=0$, then we have,
\[
D = N(D) = \sum_i \nu(D, E_i) E_i,
\]
where the $E_i$ are the irreducible components of $D$. Thus, by \cite[Def. 3.3]{Bo2}, we must have:
\[
\mathrm{Supp}(D) = E_{nn}(D) = \mathbb B_-(D),
\]
where $E_{nn}(D)$ is the non-nef locus \cite{Bo2}, which equals the diminished base locus $\mathbb B_-(D)$ of \cite{ELMNP}. Now, it is well-known (cf. \cite{ELMNP}) that we can also characterize the non-nef locus as: $$E_{nn}(D) = \bigcup_{t > 0} E_{nK}([D] + t\omega).$$ It is then easy to see that the subvarieties $E_{nK}([D] + t\omega)$ are decreasing in $t$, and since their union is the proper subvariety $\mathrm{Supp}(D)$, they must stabilize as $t$ goes to zero at some $t_0$; i.e., for all $t \leq t_0$, we actually have $$E_{nK}([D] + t\omega) = E_{nn}(D) = \mathrm{Supp}(D),$$ which was to be shown.

When now $\beta$ is arbitrary, we simply choose a large enough K\"ahler class $\omega$ so that $\beta + \omega$ is also K\"ahler. Then for any $t > 0$, $$E_{nK}\left(\frac{1}{t}[D] + \beta + \omega\right)\subseteq E_{nK}\left(\frac{1}{t}[D] + \beta\right),$$ and so for $t \leq t_0$ as above, we have $\mathrm{Supp}(D)\subseteq E_{nK}([D] + t\beta)$, as was to be shown.
\end{proof}

\section{Concluding questions}\label{end}
As remarked earlier, despite the positive results in Theorem \ref{main}, the answer to Question \ref{con} is negative in general, thanks to a very recent counterexample of Lesieutre \cite{Les}. Note that his example has $n=3,\mathrm{nd}(\alpha)=1$, which is the first case which is not covered by Theorem \ref{main}.

One can however ask then the following question:

\begin{que}[Lesieutre \cite{Les}]\label{aaa}
Let $(X^n,\omega)$ be a compact K\"ahler manifold and $[\alpha]$ a pseudoeffective $(1,1)$ class. Does there exist a positive {\bf real} number $\mathrm{nd}_{\mathrm{vol}}(\alpha)$ such that
$$ct^{n - \mathrm{nd}_{\mathrm{vol}}(\alpha)}\leq \mathrm{vol}(\alpha+t\omega)\leq Ct^{n - \mathrm{nd}_{\mathrm{vol}}(\alpha)},$$
 for some $c, C>0$ and for all $t\geq0$ sufficiently small?
\end{que}

It is immediate that, if $\mathrm{nd}_{\mathrm{vol}}(\alpha)$ exists, we would have $\mathrm{nd}(\alpha) \leq \mathrm{nd}_{\mathrm{vol}}(\alpha) \leq \mathrm{nd}(\alpha) + 1$, and so it would be intermediate amongst the various different notions of numerical dimension. All known examples, including those in \cite{Les}, admit such a number.

A possible intermediate step in answering Question \ref{aaa}, also suggested by Lesieutre, would be the following:
\begin{que}[Lesieutre \cite{Les}]\label{aaaa}
Let $(X^n,\omega)$ be a compact K\"ahler manifold and $[\alpha]$ a pseudoeffective $(1,1)$ class.
Then the limit
\[
\lim_{t\searrow 0} \frac{\log(\mathrm{vol}(\alpha + t\omega))}{\log(t)},
\]
exists.
\end{que}
This is generally weaker than Question \ref{aaa}, but the limit would compute $\mathrm{nd}_{\mathrm{vol}}(\alpha)$, if it did exist. Note that one cannot simply use log-concavity of the volume, as it is not true in general that any two concave functions can only intersect a finite number of times on a compact interval.

redpajama_set_name: RedPajamaArXiv


Topic started by bb on Thu Dec 2 00:22:51 .
A thread to discuss the author and his works.
Here's an exclusive article by Sundara Ramasamy for the hub!
Some of his poems are here.
Please ignore the above. Go to FAQ in the Hub which explains how to post in Tamil. Admin, please delete the above. Thanks.
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>�͙� ��ѹ��� �� � �� ���� ���� ��� �����..."
��� ��� ��π�� ����� ��� ��׿� ��˰�э晐.
ramji, I do not understand your post regarding tamil posting in hub. I assume that you found my posting difficult to read and you have reposted it. But, I do not see anything wrong in the way I have posted. I must say that I conduct most of my discussions relevant to tamil lit in tamil only (a legacy of veNpa vadikalaam vaa thread). could you please clarify if you found it difficult to read.
I do all my posting in tscii and do not use murasu.
Since I could not read your posting in Tamil in this thread( I use murasu) , I took the liberty of converting it through murasu to appear in Tamil here. Incidentally, I was intrigued by your posting especially the part about thamizhaarvam. IMO, it will make a good topic for discussion in a separate thread.
What program do I need to download to be able to read postings in tscii?
http://www.tamil.net/tscii and follow the link to tools. These pages also have good tscii faq.
Well, TN govt. is coming up with TAB standard, but it is not widely used and tools are not available for all platforms. We have to evaluate it only after it gains some popularity -until then tscii rules.
Read "ThiruvaLLuvar ennum naNbar". Was reminded of reading somewhere, years ago, what Rajaji said about Baghavat Gita. Not exact quote- " Bhagavath Gita is like a railway timetable. You can not reach your destination by memorizing the table. You have to perform the journey."
What su raa says about wisdom\knowledge getting lost in rituals is very intriguing.
I was impressed by the same lines you've cited.
"endha aRivaiyum punidhappaduththinaal adhu anniyappattu pOyvidum. nadaimuRaiyilirundhu pinnakarnthu sadangukkuL pOy vizum. sadangum sampirathaayamum thOnRi vittaal poosaarikaL thOnRi viduvaargaL."
A concise commentary which goes beyond just literature!
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7th-Rounder DeAngelo Tyson Cracked Lineup
Garrett Downing
After spending the first six weeks of the season watching from the sideline as a healthy scratch, rookie defensive lineman DeAngelo Tyson has cracked the Ravens' lineup.
The seventh-round pick has been active the last two weeks and earned playing time as part of a rotation along the defensive line. Injuries to defense end Pernell McPhee and nose tackle Ma'ake Kemoeatu have helped Tyson crack the lineup, but Head Coach John Harbaugh expects Tyson to have an active role in the defense moving forward after an up and down day against the Browns.
"He is getting better," Harbaugh said. "He was good, and other times he wasn't as good, like most young guys – especially in the trenches in there because it's such a fight in there."
Tyson played 18 snaps against the Browns and finished with two assisted tackles. He has four total tackles on the season, and has rotated at defensive end with Arthur Jones.
Tyson graded out as the fourth-best Ravens' defender, behind only safety Ed Reed, and linebackers Dannell Ellerbe and Albert McClellan, according to the statistical analysis website Pro Football Focus.
"The last two weeks have been pretty good," Tyson said. "I'm just learning from the older guys and I'm glad the coaches trust me to play at this time and I'm glad the veteran guys trust me on the field."
Through the first part of the season when he wasn't playing, Tyson said that he didn't get frustrated. As a late draft pick, he knew that the odds would be stacked against him coming into the season and he took the time as an opportunity to learn as much as possible from the sidelines.
"It wasn't my time to play at that moment, so I just took the opportunity to continue learning how to play," Tyson said.
He finally did get the chance to suit up for his first NFL game in Week 7 against the Texans.
"It's a dream come true," Tyson said. "I always had the dream of being in the NFL, but me just being on the team wasn't enough. I just kept working and kept fighting and kept learning and whenever I got that chance to play my first game I was very excited."
Tyson will continue to challenge for playing time, especially with McPhee and defensive tackle Haloti Ngata battling through injuries. Tyson can play defensive end and tackle, which makes him a versatile piece when the coaching staff determines who to activate each week.
"Hopefully I can continue to be up every week, but I'm just going to take it one game at a time," Tyson said. "I have to continue playing faster, playing tougher and playing with more effort, but I think I've been doing that these past two games and I'm going to take the opportunity to keep getting better."

redpajama_set_name: RedPajamaCommonCrawl


text:
Jimi Hendrix – Rainbow Bridge (review)
Jimi Hendrix – Rainbow Bridge (Experience Hendrix / Legacy) review
Long out of print Hendrix albums available in their original form
Little known Hendrix fact: Besides being an amazing guitar player, Jimi Hendrix was also an avid record collector. What better way to hear Hendrix's music than the way he would've wanted you to hear it – on high-quality vinyl. Experience Hendrix & Sony Legacy have just issued two classic Hendrix albums, The Cry of Love & The Rainbow Bridge Soundtrack, and both are available on mp3, CD, and most importantly, good ol' vinyl.
After Hendrix's untimely passing in 1970, a barrage of archival releases hit the market, all trying to capitalize on his death, and most with no regard his artistic vision. As time went on, these releases got even more dubious, with unfinished Hendrix tracks released featuring newly-recorded musicians. Finally in 1995, the Hendrix estate gained control of his music and began releasing these tracks in the context that they originally were intended.
All of the tracks from Rainbow Bridge are now available elsewhere. However, the original album holds up surprisingly well. "Dolly Dagger" takes one of the riffs from "Purple Haze" and surrounds it with a funky groove, while "Earth Blues" is driven by a descending guitar line and features a surprisingly, gospel-tinged bridge. "Pali Gap" is one of the guitarist's best instrumentals – even at five minutes in length, it never drags. "Hey Baby (New Rising Sun)" has a melody that is very close to his take on "All Along the Watchtower." Like a lot of the material here, it was unfinished – you can hear Hendrix ask "is the microphone on"?
"Room Full of Mirrors" features heavily-effected guitars, which is a shame – what could've been a great song is hopelessly dated. Also missing the mark is a studio take on "The Star Spangled Banner," which pushed him to prominence as the closing of the Woodstock Festival. In studio form, it's all spaced-out trickery, lacking the muscle and energy of the live performance. There's also a searing live version of "Hear My Train a Comin'" actually recorded at Berkeley and not at the Rainbow Bridge concert, which clocks in at over eleven minutes.
A note on the vinyl – the album jacket features a gatefold cover featuring some great photos of Hendrix in concert. The vinyl itself is high-quality, 180 gram weight, and is full of warmth. There's something about playing Hendrix's music on vinyl that makes him seem closer in this format.
Incidentally, the original Rainbow Bridge movie is a complete disaster (it is readily available on Youtube). The plotless film centers around Maui hippies – getting stoned, surfing and talking about aliens. There is even about five minutes of a very intoxicated Hendrix being interviewed – not flattering at all.
Although the tracks on Rainbow Bridge have all been reissued on better compilations, the original album stands up pretty well as a good collection of Hendrix's last recordings. —Tony Peters
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336 – Eric Jerardi – Muscle Shoals-infused new album Occupied
#95 – Peter Parcek – Pledging My Time
David Lanz – Liverpool (CD review)
Marc Cohn – Listening Booth: 1970 (CD review)
Seth Walker – Natalie's in Columbus (concert review)
Def Leppard, Foreigner, & Night Ranger (concert review)


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Every city has their own unique character and vibe and artistic background! We've traveled across the U.S. and captured the businesses, locations, venues, restaurants and artwork that make each city what it is. See the most popular in Hutto, Texas.
Pustka BBQ
Currently operating out of a food truck, this family owned and operated barbeque joint serves qualit…
Texan Cafe & Pie Shop
Texan Café and Pie Shop is a casual, country inspired restaurant known for its classic Americ…
Snuffy's Place
While found in a small town, visitors learn quickly upon entering that there's nothing small about S…
Mario's Restaurant
Opened in 2004, this small town Mexican restaurant has recently shut its doors. However, while opera…
Welcoming visitors and locals to small town Hutto, is this wooden picket sign. While paying ode to t…
Hutto Silos
Marking what will soon be the city center of former small town Hutto, are these silos. Starting 2020…
Henrietta the Hippo
Initially one of Hutto, Texas' school mascot, the city adopted hippos as their mascot in general. So…
Hutto Manhole
Welcoming visitors and locals to small town Hutto, is this manhole. While paying ode to the city's a…
East Social House
Located in Old Town Hutto, East Social House is found in one of the few historical buildings on East…


The New York Times calls Jess Klein "A songwriter with a voice of unblinking tenacity." Over two decades and 11 albums, Klein has built a powerfully personal body of work that reflects an instinctive emotional insight, an organic sense of introspection and an unshakable social conscience. Her 15+ year career has won her a devoted worldwide fan base, Jess Klein—who possesses what Mojo magazine calls "one of those voices you want to crawl up close to the speakers to listen to" has pursued a remarkable creative evolution that's seen her dig ever deeper for resonant emotional insights, while continuing to refine her eloquently melodic, effortlessly accessible songcraft. Jon Pareles of The New York Times calls her "a songwriter with a voice of unblinking tenacity…who finds parables in the everyday and also finds humanity behind the archetypal." Klein spent eight years soaking up the live music culture of Austin, TX before a 2016 move to tiny but vibrant Hillsborough, North Carolina.
The 'Boro Sessions presents An Evening with Grant Peeples with Speical Guest Jess Klein on Tuesday, May 14, concert 7pm/doors 6pm. Reserve your seat with an advanced $15 donation HERE: https://app.tikly.co/admin/events/3609 All details will be emailed to advanced donors, including address, parking and directions. Beer, wine, and food for purchase at the venue.


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Q: Migration data on update app I am new in android development. I developed new version of app and want to move data from old version db to new version db, but the problem is that android says firstly uninstall the old app because signature are different.

A: You have signed your app versions with different keys.
If they were built on different computers, the debug keys are different. If built on the same computer, one is likely a debug key and one a release key.
You cannot update an app unless the app already installed is signed with the same key as the app that is replacing it.
You need to re-sign your app with the same key as the one already installed if you want to update it. The alternative is to uninstall the old app first.
http://developer.android.com/tools/publishing/app-signing.html

redpajama_set_name: RedPajamaStackExchange


I'm super prego right now at 38 weeks, so along with thinking about the next thing I need to clean or prepare and if I need to buy some more onesies I've been thinking about names, babies, new life.
It was just minutes after giving birth and I was holding this beautiful new baby girl in my arms with admiration and joy. Tired and excited I turned to my husband and said with anticipation "say her name". Her daddy said the name we had chose for her and she immediately turned her face in response to her name. It was a stunning moment.
With new creation, new life comes a new name, and identity. Therefore if anyone is in Christ [she] is a new creation. The old has passed away, the new has come. (2 Corinthians 5:17). It may be easy to believe something great about someone else's identity, a sweet baby or someone you love but can we believe this about ourselves?
I want to be like my tiny, new, baby girl -responsive to who God the Father says we are. My baby daughter's response reminds me of Mary Magdalene to Jesus after His resurrection. She didn't recognize Jesus standing right in front of her, didn't recognize him when they were talking but when Jesus said her name "Mary!" she immediately recognized it was Jesus speaking her name. From John's account it seems like she couldn't contain herself, her response was to give Jesus a big hug. I just wonder how when Jesus said her name, how did it speak deep into her soul when He said her name…I just can't help but think that no one else ever said her name quite like that. The one who speaks creation into life also speaks our identity over us…after He said her name she fully believed, even when perhaps no one else believed that Jesus was alive she seemed to be full of faith, joy, and love.
We may not have had a dramatic name change but God does have something to say about each one of us, who He has made us to be, for His divine purposes.
So from now on we regard no one from a worldly point of view (2 Corinthians 5:16) Whatever you believe about yourselves, or belittling things others believe about you have no standing compared to what our Holy God says about us. Instead, Truth Himself sings and declares His love and value over you. Truth's suffering and shed blood and continuing faithfulness attests to this. As the creator, as our Father He alone gets to ascribe worth and identity to us. We are made in God's own image, (Genesis 1:27) we are chosen in Him before the foundation of the world, He predestined us to be adopted as daughters, (Ephesians 1:4,5) we are formed, fashioned, wonderfully and fearfully made (Psalm 139).
Believing and responding to who God says we are influences our faith and how we practice it. If we believe that we are daughters of God, made in His image, heirs to God (Galatians 4:7) how does that change the way we live, how does that boost your faith? God is the authority on who we are and our value. Our insecurities, self doubting, or misconceptions of ourselves can hold us back from living in God's love, and joy. I like how Dan Mohler says it: "God of the universe – He must value us so much. He must know something about our value and destiny. He must know how vital it is for us to be transformed back into His image that He would come in the likeness of sinful flesh so we could be restored back into the power of the Spirit." God's Spirit transforms us into a new creation, we are becoming who God says we are! We are more than just mundane people, God is dwelling in us!
As beloved women let's encourage each other in who God says we are and call that out in one another! Over these coming weeks let's build each other up and let go of any worldly way we see ourselves and others. Just like Mary Magdalene let's respond to who God says we are with love for Jesus and faith.


Turner Classic Movies pays tribute to Neil Simon on Friday, September 14 with the following festival of films. This program will replace the previously scheduled movies for that night so please take note.
Neil Simon passed away on Sunday, August 26 in New York City at the age of 91.
A staff writer on the signature comedy series of television's infancy, "Your Show of Shows" (NBC, 1950-54), Neil Simon went on to establish himself as one of Broadway's most prolific and consistent hit makers. Over the course of four decades, a Simon play or musical opened most seasons on Broadway and were often turned into major motion pictures within a couple of years, including "Barefoot in the Park" (1967), "The Out-of-Towners" (1969), "The Sunshine Boys" (1975) and "California Suite" (1978). Simon also wrote his share of original screenplays, such as the mystery spoof "Murder By Death" (1976) and the charming romantic comedy "Seems Like Old Times" (1980), though it was largely his stage work that earned him his reputation. Perhaps his most enduring creation was "The Odd Couple," which was a play in 1965, a film in 1968 and a television show that ran five seasons starting in 1970, while over the decades popping up in other incarnations. In the 1980s, Simon began a series of semi-autobiographical coming-of-age plays focused on his alleged alter-ego, Eugene Jerome. Dubbed the Eugene Trilogy, the plays consisted of "Brighton Beach Memoirs" (1983), "Biloxi Blues" (1985) and "Broadway Bound" (1986), with the former two being turned into mildly successful feature films. After years as an unbridled hit maker, Simon earned the overwhelming respect of critics with "Lost in Yonkers" (1991), which earned him a Tony Award and Pulitzer Prize for drama. Though his success tapered off in his later years, Simon remained the most important playwright of the latter-half of the 20th century.
Born on July 4, 1927 in The Bronx, NY, Simon was raised in Depression-era Washington Heights in northern Manhattan by his father, Irving, a garment salesman, and his mother, Mamie. Because his parents were engaged in a rocky relationship that often threatened to break apart, Simon and his older brother, Danny, were sent to live with one group of relatives or another. His father often left the family for long periods of time, leaving their mother to fend for herself until his return. After graduating from DeWitt Clinton High School when he was 16, Simon attended New York University, where he enlisted in the U.S. Army Air Force Reserve during the waning days of World War II, which led to an assignment at Lowry Air Force Base in Denver, CO, where, as a corporal, he began writing for the USAF sports paper, the Rev-Meter. Following a short stint at the University of Denver, Simon moved back to New York, where he spent two years working in the mailroom of the East Coast Warner Bros. offices before quitting to write radio and television scripts with his brother, Danny.
Simon and his brother managed to wrangle an interview with radio comic, Goodman Ace, who hired the sketch writing duo for $200 a week after reading just one of their jokes. Simon partnered with his brother for the next nine years, with the two writing for such radio programs as "The Robert Q. Lewis Show." They soon moved on to television to write for the day's biggest shows, including "The Red Buttons Show" (CBS/NBC, 1952-55), "The Phil Rivers Show" (CBS, 1955-59), and "Your Show of Shows" (NBC, 1950-54), which starred Sid Caesar and featured perhaps the best group of comics ever assembled: Mel Brooks, Woody Allen, Carl Reiner and Larry Gelbart. Following his entrée into the theater world with the Broadway revue, "Catch a Star" (1955), which he collaborated on with Danny, he became a staff writer on the sitcom, "Stanley" (NBC, 1956-57), which starred Buddy Hackett as the slovenly proprietor of a hotel lobby newsstand. Eventually, Simon struck out on his own when he wrote his first play, "Come Blow Your Horn" (1961), which told the story of a young man who yearns to leave his parents' home to live at his brother's swinging bachelor pad.
"Come Blow Your Horn" opened on Broadway at the Brooks Atkinson Theatre, where it ran for two years and became a big hit. Simon followed with "Little Me" (1962), which, while not as well-received as his first play, still earned the playwright his first Tony Award nomination. After "Come Blow Your Horn" was adapted in 1963 into a feature film starring Frank Sinatra, Simon had one of the biggest stage hits of his career with "Barefoot in the Park" (1963), a lighthearted comedy focusing on the marriage between a buttoned-down lawyer husband and his free-spirited wife that played on Broadway for over 1,500 performances, making it one of the longest-running non-musicals in the history of the Great White Way. The play was turned into a successful 1967 film starring Robert Redford and Jane Fonda. Meanwhile, his brother had gone through a divorce and was living with another divorced man, which sparked the idea for what eventually became "The Odd Couple" (1965). After several attempts to write the idea, Danny threw the idea over to Simon, who turned the comedy about a freakishly neat newspaper writer thrown out by his wife and forced to move in with a slovenly sportswriter into a Broadway smash that ran for over 900 performances and earned several Tony Awards, including Best Play.
As with many of Simon's plays, "The Odd Couple" was adapted for the big screen in 1968, and starred Jack Lemmon as the fastidious Felix Unger and Walter Matthau, reprising his original Broadway role, as the slob Oscar Madison. Possibly one of the best feature adaptations of his stage work, the highly successful movie earned several award nominations, including Simon's first for an Academy Award. During this time, he churned out stage plays like "The Star-Spangled Girl" (1966), "Plaza Suite" (1968) and "The Last of the Red Hot Lovers" (1969), which continued his string of critical and financial hits. The following year, "The Odd Couple" was spun off to the small screen, where it spent five seasons on ABC with Tony Randall as Felix and Jack Klugman as Oscar. Meanwhile, he wrote the play to perhaps his second-best remembered stage production, "The Sunshine Boys" (1972), which focused on two aging vaudevillians forced back together after growing to hate each other for a television reunion. Following another Tony Award win for Best Play, the production was adapted into a critically acclaimed 1975 film starring Walter Matthau and George Burns; the latter of whom won an Academy Award for Best Supporting Actor.
With his career at an all-time high, there seemed to be nothing that could bring Simon down. But in 1973, his wife of 20 years, Joan Baim, died after a prolonged battle with cancer. The agonizing 15 months of watching his wife slowly slip away left the playwright empty and devastated. Four months later, however, Simon shocked friends and colleagues when he married actress Marsha Mason following a brief courtship. He continued writing successful plays like "The Good Doctor" (1973), "California Suite" (1976) and "Chapter Two" (1977) while scripting original screenplays like "Murder By Death" (1976), a spoof on whodunit mysteries that featured Truman Capote as a wealthy recluse named Lionel Twain, who lures top private detectives (an all-star cast of Peter Sellers, Peter Falk, David Niven, Maggie Smith and James Coco) to his secluded mansion to solve a murder that's about to be committed. He next wrote the original screenplay for "The Goodbye Girl" (1977), an adult romantic comedy about a divorced mother and ex-Broadway dancer (Marsha Mason) engaged in a romance with an arrogant actor (Richard Dreyfuss) whose career is nearly ruined by a myopic director (Paul Benedict). Dreyfuss went on to win the Best Actor Oscar for his winning, wacky performance.
Returning to adaptations of his own work, Simon wrote the scripts for the screen treatments of "California Suite" (1978) and "Chapter Two" (1979), while writing the script for the comedy spoof "The Cheap Detective" (1978), starring Peter Falk, the book for the musical "They're Playing Our Song" (1979), and the stage play for "I Ought to Be in Pictures" (1980), which he turned into a feature starring Walter Matthau and Ann-Margaret in 1982. Simon next wrote the original screenplay for the feature comedy, "Seems Like Old Times" (1980), which starred Chevy Chase as a down-on-his-luck writer who seeks refuge from a pair of bank robbers at the home of his ex-wife (Goldie Hawn), only to run afoul of her new stuffed-shirt husband (Charles Grodin). Following his lighthearted romantic comedy, "Fools" (1981), which was directed for Broadway by longtime collaborator Mike Nichols, Simon adapted his play "The Gingerbread Lady" (1970) into the film "Only When I Laugh" (1981), which again starred wife Marsha Mason. Simon next wrote the play to "Brighton Beach Memoires" (1983), a semi-autobiographical coming-of-age comedy about a young Jewish teenager who experiences puberty and has a sexual awakening while trying to deal with his struggling family. The play was turned into a mildly popular film in 1986 starring Jonathan Silverman as Simon's alter-ego, Eugene Jerome.
Simon returned to the stage with the more popular "Biloxi Blues" (1985), the second installment to what became known as the Eugene Trilogy. This time, the young Jewish kid from Brooklyn enlists in the Army and is sent to Biloxi, MS for basic training, where he falls in love, loses his virginity and runs afoul of an offbeat drill sergeant. In 1988, the play was adapted into a well-received film starring Matthew Broderick as Eugene and Christopher Walken as Sgt. Toomey. In 1983, Simon suffered another personal setback - albeit one not as tragic as losing Joan - when he divorced actress Marsha Mason following 10 years of marriage. Despite the split, the two remained friends and continued working together. Meanwhile, he reimagined "The Odd Couple" as "The Female Odd Couple" (1985), which was staged on Broadway with Sally Struthers and Rita Moreno in the leads. Simon rounded out his Eugene Trilogy with "Broadway Bound" (1986), which followed Eugene and his brother Stanley - obvious doubles for Simon and his own brother Danny - as they try to make it as comedy writers on radio and television. Unlike the previous two installments, however, "Broadway Bound" was not immediately adapted into a feature film or even television movie - the rare Simon play not to make such a transformation.
During this time, Simon remarried once again, this time to Diane Lander, a former employee at the Beverly Hills department store, Neiman Marcus. Their relationship proved to be a rocky one, ending in divorce in 1988 following 18 months of marriage, only to reunite in early 1990. Though they again filed for divorce two years later, the couple reconciled until finally splitting for good in 1998. Though asked on several occasions, Simon had been remiss to talk about his relationship with her; even going so far as to not draw from their experiences in his work - a shock given his mining of all other areas of his life. Meanwhile, he wrote the farce "Rumors" (1988) for the stage before achieving massive popular and critical success with "Lost in Yonkers" (1991), a coming-of-age drama about two brothers left in the care of their intimidating grandmother who also houses the mentally deficient, but good-hearted Aunt Bella (Mercedes Ruehl). Simon's difficult tale of family dysfunction won several awards, including a Tony for Best Play and the Pulitzer Prize for Drama. After returning to the world of "Your Show of Shows" for a Broadway production of "Laughter on the 23rd Floor" (1993), he cited the high cost of producing plays on the Great White Way, controversially insisting that "London Suite" (1994) be produced off-Broadway.
After penning a television version of his 1992 play "Jake's Women" (CBS, 1996), Simon wrote his 30th stage production, "Proposals" (1997), which opened on Broadway, but quickly closed, proving to be one of his least successful stage efforts. On the flip side, a revival of "The Sunshine Boys" enjoyed a much longer run thanks to the popularity of stars Tony Randall and Jack Klugman. Meanwhile, Simon's feature output fell off following the box-office failure of "The Marrying Man" (1991) and "Neil Simon's 'Lost in Yonkers'" (1993), causing the writer to turn to the small screen with "Neil Simon's 'London Suite'" (NBC, 1996), with a cast that included Kelsey Grammer, Julia Louis-Dreyfuss and Richard Mulligan, and a misguided "The Sunshine Boys" (CBS, 1997), which was filmed in 1995 with Peter Falk and Woody Allen. His return to the big screen with the sequel "The Odd Couple II" (1998) sank at the box office despite the presence of the original actors, Walter Matthau and Jack Lemmon. Later that year, a remake of "The-Out-of-Towners" (1998), starred Steve Martin and Goldie Hawn in the roles originated in 1970 by Lemmon and Sandy Dennis.
Turning to the publishing world, Simon wrote his memoirs in two parts, starting with Neil Simon Writes: A Memoir (1996); he followed with part two a few years later, Neil Simon The Play Goes On: A Memoir (1999). In his later years, Simon's stage work also began taking a hit with critics, though he found mild success with "The Dinner Party" (2000), starring John Ritter and Henry Winkler. After "45 Seconds from Broadway" (2001), which lasted just a few months, he revamped his two most famous characters for "Oscar and Felix: A New Look at the Odd Couple" (2002), which starred John Larroquette as Oscar and Joe Regalbuto as Felix, followed by his staging of "Rose's Dilemma" (2003) off-Broadway at the Manhattan Theatre Club. Also later in his career, his plays found new life on television with "Laughter on the 23rd Floor" (Showtime, 2001) and "The Goodbye Girl" (TNT, 2004) being adapted for the small screen.
The acclaimed playwright and screenwriter passed away on Sunday, August 26 in New York City at the age of 91.


Ideally set amid eight acres of private parkland and the glorious scenery of Canada's oldest national park, Rocky Mountain Resort provides a relaxing, well-equipped respite for nature lovers. Plus, the resort is just a couple minutes from downtown Banff, where shopping and dining abound.
The Rocky Mountain Resort's 169 rooms offer configurations to suit every travel group or family. The onsite Mountain Health and Fitness Club features a sauna and full gym. Guests will also enjoy soaking in the indoor and outdoor hot tub after a day on the slopes.


Summertime is the peak of gardening season, and whether you consider this a pleasant pastime or necessary chore, it is easy to forget that this can put a serious strain on your body.
Recent studies show the most common source of neck and back pain during the warmer months is largely due to yard work.
Gardening often involves digging, lifting and moving heavy objects while standing in unfamiliar positions that can cause pain or injury. The aches and pains can be easy to overlook until the pain problem escalates.
It's best to first identify triggers of muscle pain and soreness and to try lifestyle modifications and remedies from Mother Nature before turning to numbing pain medications.
My cancer story begins after a long walk around my neighborhood in 2012 when I noticed I had terrible pain in my leg.
Many doctors' appointments and CT scans later, I learned that I had ovarian cancer.
It took many appointments with many doctors to develop the treatment plan that was right for me. But, I was so lucky that I had a great relationship with my oncologist -- she made me feel so comfortable.
After a few appointments, my doctor suggested genetic counseling. My daughter, son and I went to the appointment and tests revealed that I was indeed carrying the BRCA mutation which explained some family history of cancer. After reading up on ovarian cancer, I realized I had all of the symptoms.
Not surprisingly, my daughter's tests also came back positive for the BRCA mutation.
There's no question that receiving an ovarian cancer diagnosis in 2012 made me terrified, especially venturing into the great unknown of surgery and chemo.
But, even after treatment and stabilization, another kind of fear set in: Being cut loose by my medical team and thrust back (without a net) into my "normal" life.
How could my life ever be normal again...at least how I once defined normal?
Ovarian cancer. It's not what any woman wants to hear as their diagnosis.
Because of its subtle symptoms and less than favorable (but climbing) survival rates, being told you have ovarian cancer can immediately feel hopeless.
For those of us as who are care partners, the desire to help can only be matched by our frustrations of not being able to cure or "fix" our loved ones. We may feel less than productive. Even though we can't wave a magic wand and fix what hurts those we love, there are incredibly positive and powerful ways we can give back and aid them, even throughout the darkest moments.
After my best friend received her diagnosis of ovarian cancer, she told me of the many gestures and acts of kindness from friends, coworkers, and neighbors that helped her the most. I'm blessed she shared them with me as it helped me better understand the most effective and positive ways to better care for her as well as others diagnosed with cancer after she was.
Over the years, several marketing gimmicks have brought to light "miracle pills" that supposedly help in melting away your fat.
While the validity of such claims is unlikely, it is possible to lose weight with more natural and familiar ways.
Use the following strategies to burn fat without having to dabble in dubious pills and supplements.
The words "root canal treatment" successfully instill fear in the bravest of us, to a point where people might choose living with the pain instead of going through the procedure.
A root canal is a treatment used to repair and save a badly decayed or infected tooth. During this procedure, the nerve and pulp are removed and the dentist cleans and seals the inside of the tooth. Without root canal treatment, the tissue surrounding the tooth will become infected and abscesses may form.
Here are a few symptoms and situations where you may need a root canal treatment.
Trying to get any child to lay off the candy and brush their teeth can be a challenge.
Yet, for parents of children with special healthcare needs, it can be even more problematic as there are variables that put them at a higher risk for dental problems.