Toronto's new airport line will be using a mobile ticketing app when it opens next year. The Union Pearson Express will be using an app from New York-based Bytemark, which lets passengers buy and present tickets using their smart phones, in a move targeting visitors to the city.
The Union Pearson Express, operated by Ontario government agency Metrolinx, will transport roughly 5000 people each day between Union Station in downtown Toronto, and Toronto Pearson International Airport, when the line opens in the spring. Metrolinx covers regional transport between Toronto and other cities with its GO network of trains.
Bytemark will let people buy Union Pearson Express tickets online, either via a mobile app or a Web site. They can then print the ticket out, or store it on their phone. Either way, it can be scanned by mobile ticket validators carried by staff on the train.
The Bytemark system is incompatible with the Presto card, which is an near field communication (NFC)-based card used on the rest of the Metrolinx GO network, and which is also now being rolled out on the Toronto Transit Commission's urban subway system.
"I can't confirm exactly what will happen at launch date but at this point in time they are two different systems," said Anne Marie Aikins, a spokesperson for Metrolinx, which is not ruling out an expansion of the Bytemark system.
In-town Presto card owners can use their NFC cards on the Union Pearson Express, making it easy to go the other way on their card, and passengers can still buy tickets on board using a debit or credit card.
Bytemark's CEO Micah Bergdale said that Bytemark served a specific need for out of town visitors who don't own a Presto card.
The app is available on iOS, Android, BlackBerry, and Windows Phone. Regular visitors to Toronto can also register an online account and link it to a credit card to buy tickets without having to continually re-enter their details.
Bytemark has already sold its mobile ticket system to several cities in the US, including New York, but this is the first city that it has dealt with in Canada.
"We've talked to every major single transit system in the Canadian market. We will be participating in Canadian Urban Transit Assocation meetings next week and doing a presentation around our solution," said Bergdale.
We don't have any immediate contracts that we announce, but there are some things that we expect to close here over the next few months," he concluded.


text:
Q: Get string representation of object path Say I have a situation like this:
const foo = {
   bar: {
     star: {
       guitar: 'geetar'
      }
   }
}

and then I have:
const stew = {
   moo: () => foo.bar.star.guitar
}

then I call moo in the next tick of the event loop:
process.nextTick(function(){
   const guitar = stew.moo();
});

my question is - is there any way/trick to get the string representation of the path: "foo.bar.star.guitar"?
I could replace the code with a string:
    const stew = {
       moo: () => 'foo.bar.star.guitar'
    }

but I am looking to find a way to get a string representation.
One important detail is that I want to generate a useful error message - if someone puts in an object path that doesn't exist. That is the whole purpose of getting a string representation - for a useful error message.

A: One approach could be to use a reducer to extract the value from a supplied path. For a path such as bar.star.guitar, you could extract the value geetar from object:
const foo = {
   bar: {
     star: {
       guitar: 'geetar'
      }
   }
}

via the following:

const path = 'bar.star.guitar'; // Remove "foo" from your path

const foo = {
   bar: {
     star: {
       guitar: 'geetar'
      }
   }
}

const value = path
.split('.') // Break path into parts, splitting by '.'
.reduce((currentObject, pathPart) => {

  // Iterate through each part of the path in order, and incrementally
  // extract and return corresponding value of currentObject if it
  // exists. Repeat this for each path part until we find value from
  // input object at end of the path
  if(currentObject) {
    currentObject = currentObject[ pathPart ]
  }

  return currentObject
}, foo);

console.log('path: ', path, 'value:', value)

The idea here is to iterate in order through each "part" (ie string separated by '.') of the input path, and incrementally extract and return the value corresponding to the part (key) of the input object being processed. We incrementally continue this process until the end of the path is reached, at which point we arrive at the desired value (if it exists)

A: This is for a library, so I won't have any other information besides:
const stew = {
   moo: () => foo.bar.star.guitar
}

so one thing I can do is:
let guitar;
try{
  guitar = stew.moo();
}
catch(err){
  console.error('Could not get value from:', stew.moo.toString());
}

aka, just log the string representation of the function. This is good enough information for the user to have to debug the problem.
For a full demo see:
https://gist.github.com/ORESoftware/5a1626037cb8ba568cdffa69374eac1d

A: const stew = {
   moo: () => foo.bar.star.guitar
}

stew.moo.toString().match(/([a-z0-9_$]+\.?)+/)[0]
// returns "foo.bar.star.guitar"

This somewhat depends on people always using the same kind of function. Also I just used a short-hand for valid function name - the actual regex would be much longer.. What characters are valid for JavaScript variable names?

A: based on your comments about this being for useful error messages, I believe you can get away with Error.captureStackTrace
const er = {};
Error.captureStackTrace(er);

const foo = {
    bar: {
        star: {
            guitar: "geetar"
        }
    }
};

const a = foo.bar.nope.guitar;

console.log(er.stack);

which logs
const a = foo.bar.nope.guitar;
                       ^

A: If you are able to control the root variables that people can refer to, you could wrap them in a Proxy object which tracks the property access all the way down, like so:
function callStackTracker(propsSoFar) {
    return {
        get: function(obj, prop) {
            if (prop in obj) {
                return typeof obj[prop] === "object" ?
                    new Proxy(obj[prop], callStackTracker(propsSoFar.concat(prop))) :
                    obj[prop];
            } else {
                throw new Error("Couldn't resolve: " + propsSoFar.concat(prop).join('.'));
            }
        }
    };
};

let foo = {
   bar: {
     star: {
       guitar: 'geetar'
      }
   }
}

foo = new Proxy(foo, callStackTracker(['foo']));

console.log(foo.bar.star.guitar); // "geetar"
console.log(foo.bar.star.clarinet); // Error: Couldn't resolve: foo.bar.star.clarinet
console.log(foo.bar.boat); // Error: Couldn't resolve: foo.bar.boat

I am then throwing this resolved path as an error in this example, but you could do whatever you like with it.

redpajama_set_name: RedPajamaStackExchange


You've certainly sparked a few ideas!
Great post. I'm battling through writing my own vehicle rules for FireZone, and it's no easy feat. An example of the difficulty of gettin git right is 40k: Rogue Trader.
Over the six years of the game it had three different sets of rules for vehicles, which were changed for 2nd ed!
The balance between a vehicle being usable, unkillable, fun and not a second set of unique rules that slow down the game is a tricky one. I think a designer has to figure out what role they want vehicles to play in their game when they write the rules and adjust (in 40k they seem to be going for the 80s action movie feel: killy, but explode a lot).
A useful link on the subject is the found on the tips for military sci-fi writers site.


text:
La  est une ancienne ligne de chemin de fer française du Bas-Rhin. Elle reliait les gares de Mertzwiller (sur la ligne de Haguenau à Hargarten - Falck) et de Seltz (sur la ligne de Strasbourg à Lauterbourg) via Walbourg (sur la ligne de Vendenheim à Wissembourg). La ligne est aujourd'hui déclassée et déposée.

Elle constituait la ligne  du réseau ferré national.

Historique
La ligne est ouverte dans son intégralité le  novembre 1893 par la Direction générale impériale des chemins de fer d'Alsace-Lorraine.

Fermeture
La fermeture s'effectue en plusieurs étapes :
 la section de Mertzwiller à Walbourg est fermée au service des voyageurs le  octobre 1947. Elle est déclassée le  1954 ;
 la section de Betschdorf à Hatten est fermée au service des marchandises en 1954 puis déclassée le  1965 ;
 la section de Hatten à Seltz est fermée au service des marchandises le  1971 puis déclassée le  1980 ;
 la section de Walbourg à Betschdorf est fermée au service des marchandises le  1989 et déclassée le  1995.

En 1962, la section de Walbourg à Betschdorf est numérotée « ligne 33.3 » et désignée en tant que « Ligne Walbourg - Betschdorf » tandis que la section de  Hatten à Seltz est numérotée « ligne 33.9 » et désignée en tant que « Ligne Hatten - Seltz ».

Caractéristiques

La ligne desservait les gares et haltes de Mertzwiller, Eschbach, Walbourg, Surbourg, Schwabwiller, Betschdorf, Rittershoffen, Hatten, Niederroedern et Seltz.

En gare de Walbourg, elle croisait la ligne de Vendenheim à Wissembourg et la ligne de Walbourg à Lembach.

Notes et références

Voir aussi

Liens externes
 Ligne Mertzwiller - Seltz sur le site d'Étienne Biellmann.

Articles connexes
 Liste des lignes de chemin de fer de France
 lignes ferroviaires françaises disparues

Ancienne ligne ferroviaire dans le Bas-Rhin

redpajama_set_name: RedPajamaWikipedia


The theoreticians write research works on tariff policy, with the "call", say, to struggle for commercial treaties and for Free Trade. The propagandist does the same thing in the periodical press, and the agitator in public speeches. At the present time , the "concrete action" of the masses takes the form of signing petitions to the Reichstag against raising the corn duties. The call for this action comes indirectly from the theoreticians, the propagandists, and the agitators, and, directly, from the workers who take the petition lists to the factories and to private homes for the gathering of signatures.
We said that a Social Democrat, if he really believes it necessary to develop comprehensively the political consciousness of the proletariat, must "go among all classes of the population". This gives rise to the questions: how is this to be done? have we enough forces to do this? is there a basis for such work among all the other classes? will this not mean a retreat, or lead to a retreat, from the class point of view? Let us deal with these questions.
We must "go among all classes of the population" as theoreticians, as propagandists, as agitators, and as organisers.
Side note for Humpty-Dumpties: In this post I'm going to use "propaganda" in its current dictionary meaning as a collection of messages intended to influence opinions or behaviour. I do not mean the pejorative interpretation, somebody else's propaganda that I disagree with. Some of the messages and calls below I agree with, others I do not.
Given this tool for understanding a movement, we can see it at work in the software industry. We can see, for example, that the Free Software Foundation has a core of theoreticians, a Campaigns Team that builds propaganda for distribution, and an annual conference at which agitators talk, and organisers network. In this example, we discover that a single person can take on multiple roles: that RMS is a theoretician, a some-time propagandist, and an agitator. But we also find the movement big enough to support a person taking a single role: the FSF staff roster lists people who are purely propagandists or purely theoreticians.
A corporate marketing machine is not too dissimilar from a social movement: the theory behind, say, Microsoft's engine is that Microsoft products will be advantageous for you to use. The "call" is that you should buy into their platform. The propaganda is the MSDN, their ads, their blogs, case studies and white papers and so on. The agitators are developer relations, executives, external MVPs and partners who go on the conference, executive briefing days, tech tours and so on. The organisers are the account managers, the CTOs who convince their teams into making the switch, the developers who make proofs-of-concept to get their peers to adopt the technology, and so on. Substitute "Microsoft" for any other successful technology company and the same holds there.
We can also look to (real or perceived) dysfunction in a movement and see whether our model helps us to see what is wrong. A keen interest of mine is in identifying software movements where "as practised" differs from "as described". We can now see that this means the action being taken (and led by the organisers) is disconnected from the actions laid out by the theorists.
I have already written that the case with OOP is that the theory changed; "thinking about your software in this way will help you model larger systems and understand your solutions" was turned by the object technologists into "buying our object technology is an easy way to achieve buzzword compliance". We can see similar things happening now, with "machine learning" and "serverless" being hollowed out to fill with product.
But there is a connection between the 17 old men who had a meeting in Snowbird, and the poor devils working in the code mines of insurance companies in Ohio, suffering under the heel of the boot of the draconian sons of expletives who imposed a bastardized version of something called Scrum on them. We started this thing and we should at least feel sad that it has sometimes gone so far off the rails. And we should do what we can to keep it from going more off the rails, and to help some people get back on the rails.
Imagine if Karl Marx had written Capital: Critique of Political Economy, then waited eighty years, then said "oh hi, that thing Josef Stalin is doing with the gulags and the exterminations and silencing the opposition, that's not what I had in mind, and I feel sad". Well Agile has not gone so far off the rails as that, and has only had twenty years to do it, but the analogy is in the theory being "baked" at some moment, and the world continuing to change. Who are the current theorists advancing Agile "as practised" (or at least the version "as described" that a movement is taking out to change the practice)? Where are the theoreticians who are themselves Embracing Change? It seems to me that we had the formation of the theory in XP, the crystallisation (pardon the pun) of the theory and the call to action in the Agile manifesto, then the project management bit got firmed up in the Declaration of Interdependence, and now Agile is going round in circles with its tiller still set on the Project Management setting.
Well, one post-Agile more-Agile-than-thou movement for the avocado on toast generation is the Software Craft[person]ship movement, which definitely has theory and a call to action (Software Craftsmanship: the New Imperative, which is only a scratch newer than the Agile Manifesto), definitely has vocal propagandists and agitators, and yet still doesn't seem to be sweeping the industry. Maybe it is, and I just don't see it. Maybe there's no clear role for organisers. Maybe the call to action isn't one that people care about. Maybe the propaganda is not very engaging.
Anyway, Lenin gave me an interesting model.
Next ArticleWhat's better than semver?


text:
Q: Clear terminal every second but leave minutes I have a seconds and minute counter, very similar to my timer. However, I cannot get the number of minutes to stay on screen.
int main()
{
    int spam = 0;
    int minute = 0;

    while (spam != -1)
    {
        spam++;
        std::cout << spam << " seconds" << std::endl;
        Sleep(200);
        system("CLS");
        //I still want the system to clear the seconds
        if ((spam % 60) == 0)
        {
            minute++;
            std::cout << minute << " minutes" << std::endl;
        }
        //but not the minutes
    }
}

A: system("CLS") will clear the screen, which you do each iteration of the while loop, whereas you only print the minute every minute or so.
You need to print the minute every iteration:
while (spam != -1)
{
    spam++;
    if (minute)
        std::cout << minute << " minutes" << std::endl;
    std::cout << spam << " seconds" << std::endl;
    Sleep(200);
    system("CLS");
    if ((spam % 60) == 0)
    {
        minute++;
    }
}

Here I assume you only want to print the minute if it's not zero, hence if (minute).
FWIW: you probably want to reset spam to 0 when you update minute, but that depends on what you're doing. Perhaps you simply wish to display the number of seconds elapsed in total.


Dell Oro (4g Walk In The Park-Kallistea, by Sicyos) began his hurdling career on a bright note at Ascot on Saturday with a stylish success. A bumper winner on his debut in March, the Walk In The Park gelding stayed on well in this 1m 7f novices' hurdle to beat the more-experienced American Gigolo comfortably. Trainer Gary Moore predicts a bright future for the four-year-old. "That was a nice start for Dell Oro and I've always liked him a lot; he's got talent. We'll look for another novice under a penalty and go from there. I think we'll stick to two miles for now as he's only four," said Moore.


text:
\section{Introduction}

The most classical examples of algebraic operads, or the ``three graces of operad theory'' (an expression coined by Jean-Louis Loday), are the operad $\Lie$ controlling Lie algebras, the operad $\Com$ controlling associative commutative algebras, and the operad $\Ass$ controlling associative algebras that are not necessarily commutative. The relationship between these operads can be described informally by an exact sequence
 \[
0\to\Lie\hookrightarrow\Ass\twoheadrightarrow\Com\to 0 ,
 \]
meaning that the suboperad of $\Ass$ generated by the operation $[a_1,a_2]=a_1\cdot a_2-a_2\cdot a_1$ is isomorphic to $\Lie$, and the quotient by the ideal generated by $\Lie$ is isomorphic to $\Com$. The same is true if the operad $\Ass$ is replaced by the operad $\Poisson$ of Poisson algebras.

In fact, the underlying $\mathbb{S}$-module for both the operad $\Ass$ and the operad $\Poisson$ is obtained from those for the operads $\Com$ and $\Lie$ by the composite product: on the level of $\mathbb{S}$-modules, we have
 \[
\Ass\cong\Poisson\cong\Com\circ\Lie .
 \]
A well known observation due to Livernet and Loday (see e.g. \cite{MR2006}) is that over a field of zero characteristic there exists a one-parametric family of operads $\mathcal{O}_q$ for which $\mathcal{O}_0\cong\Poisson$ and $\mathcal{O}_1\cong\Ass$; moreover, if all elements of the ground field are perfect squares, one has $\mathcal{O}_q\cong\Ass$ for $q\ne 0$.
In the case of associative algebras, situations like that are often studied in the context of the ``Koszul deformation principle'' of Drinfeld \cite{PP}. A full analogue of this result for operads is not available, but the universe of inhomogeneous distributive laws provides examples where a version of the Koszul deformation principle holds. For associative algebras, many related interesting examples for the Koszul deformation principle in the case of associative algebras are (noncommutative) algebras that deform polynomial algebras in some sense, e.g. admit a basis of standard monomials $x_1^{a_1}x_2^{a_2}\cdots x_n^{a_n}$. Among such relations, an important particular case is the so called PBW case, where representing elements of an algebra as a linear combinations of standard monomials can be done by term rewriting. One natural generalisation to the case of operads is obtained by looking at defining relations that produce operads whose underlying analytic functors are compositions of the underlying analytic functors of the given operads, via appropriate rewriting rules that we call inhomogeneous distributive laws; those generalise the notion of a distributive law between two operads studied by Markl~\cite{Markl1996}, a particular case of distributive laws between monads going back to the work of Beck \cite{Beck1969}. Our inhomogeneous distributive laws, while still resembling those of Beck, do not fit into that framework, as we allow the relations of one of the operads to be deformed; what is preserved is the free right module structure over the other operad, fitting into the general framework for Poincar\'e--Birkhoff--Witt theorems of the second author and Tamaroff \cite{DT2018}.

In this paper, we use computational commutative algebra to classify all inhomogeneous distributive laws between $\Com$ and $\Lie$, thus answering a question which the second author was asked in private communications with Vladimir Hinich and Jean-Louis Loday. Our main result is that the family $\mathcal{O}_q$ mentioned above is the only instance of an inhomogeneous distributive law between the Lie operad and the commutative operad (except for one trivial distributive law that always exists). This generalises the classification of homogeneous distributive laws obtained by the first author and Markl \cite{BM2018}. Pedro Tamaroff informed us that in his work in progress, he proves that the associative operad is the only deformation of the Poisson operad; this offers additional supporting evidence for our result. A short summary of our result was presented at the 2019 Maple conference \cite{BD2019}.

\section{Preliminaries}

Throughout this paper we work over an arbitrary field $\mathbbold{k}$ of characteristic $0$.
The main question resolved in this paper concerns symmetric operads, so we focus our attention on them. The general definitions discussed in Section \ref{sec:inhomogen} are, however, equally valid for nonsymmetric or shuffle operads \cite{BD2016,LV2012}. The composite product of symmetric sequences (for which operads are monoids) is denoted $\circ$, and the unit for that product is denoted~$\mathbb{I}$.

We require all operads in this paper to be (nonnegatively) weight graded: this means that every component $\mathcal{P}(n)$ admits a direct sum
decomposition $\mathcal{P}(n)=\bigoplus_{k\ge 0}\mathcal{P}(n)_{(k)}$ into components of weight $k$ for various $k\ge 0$ for which any operad composition of homogeneous elements of certain weights is a homogeneous element whose weight is the sum of the weights. In addition, we assume that all operads are reduced ($\mathcal{P}(0)=0$) and connected ($\mathcal{P}(1)_{(0)}=\mathbbold{k}$ and $\mathcal{P}(n)_{(0)}=0$ for $n>1$). A connected operad is automatically augmented, and we denote by $\overline{\mathcal{P}}$ the augmentation ideal of $\mathcal{P}$. Finally, we assume that all individual weight graded components $\mathcal{P}(n)_{(k)}$ are finite-dimensional.

Let us remark that each operad $\mathcal{P}$ has one obvious weight grading where
 \[
\mathcal{P}(n)_{(n-1)}=\mathcal{P}(n) \text{ for } n \geq 1  \text{ and }
 \mathcal{P}(n)_{(k)} =0 \text{ otherwise }.
 \]
For most commonly considered operads, those generated by binary operations subject to ternary relations, this grading is the most convenient one to use. However, beyond the binary generated operads, other weight gradings are occasionally more appropriate. The set-up we adopt throughout this article is that of \emph{standard} grading: we consider operads $\mathcal{P}$ that are generated by elements of weight one. In this case every operad $\mathcal{P}$ admits a \emph{standard presentation} $\mathcal{P}\cong\mathcal{T}(\mathcal{X})/(\mathcal{R})$, where $\mathcal{X}:=\mathcal{P}_{(1)}$ and $\mathcal{R}$ is the minimal set of relations satisfied by $\mathcal{P}_{(1)}$.

We shall frequently use the \emph{infinitesimal composition of collections}. For two collections $\mathcal{A}$ and $\mathcal{B}$, their infinitesimal composition $\mathcal{A}\circ'\mathcal{B}$ is the subcollection of the collection $\mathcal{A}\circ(\mathcal{B}\oplus\mathbb{I})$ spanned by tensors where elements of $\mathcal{B}$ occur exactly once. It is defined for each of the three composite products of collections: nonsymmetric, shuffle, and symmetric.

\section{Inhomogeneous distributive laws}\label{sec:inhomogen}

Suppose that $\mathcal{P}$ and $\mathcal{Q}$ are operads, and assume that $\mathcal{O}$ is an operad which satisfies two properties:
\begin{itemize}
\item there is an injective map of operads $\jmath\colon\mathcal{Q}\to \mathcal{O}$,
\item the quotient operad $\mathcal{O}/(\jmath(\overline{\mathcal{Q}}))$ is isomorphic to $\mathcal{P}$.
\end{itemize}
Choose a splitting $\imath\colon\mathcal{P}\to\mathcal{O}$ on the level of weight graded symmetric sequences. We have a sequence of obvious maps of symmetric sequences
 \[
\mathcal{P}\circ\mathcal{Q}\hookrightarrow \mathcal{T}(\mathcal{P}\oplus\mathcal{Q})\to\mathcal{T}(\imath(\mathcal{P})+\jmath(\mathcal{Q}))\to\mathcal{T}(\mathcal{O})\to\mathcal{O} ;
 \]
Let us denote by $\eta\colon\mathcal{P}\circ\mathcal{Q}\to\mathcal{O}$ the composite map.

\begin{definition}
We say that the operad $\mathcal{O}$ is obtained from $\mathcal{P}$ and $\mathcal{Q}$ by an \emph{inhomogeneous distributive rewriting rule} if the map $\eta$ is a surjection.
We say that the operad $\mathcal{O}$ is obtained from $\mathcal{P}$ and $\mathcal{Q}$ by an \emph{inhomogeneous distributive law} if that map is an isomorphism.
\end{definition}

We remark that the notions of a distributive rewriting rule and a distributive law are well defined, i.e. they do not depend on the choice of the splitting $\imath$. Indeed, suppose that $\imath$ is a splitting for which the map $\eta_{\imath,\jmath}$ is surjective. Then every other splitting $\imath'$ differs from $\imath$ by some elements from $\imath(\mathcal{P})\circ\jmath(\mathcal{Q})$ that vanish in the quotient $\mathcal{O}/(\jmath(\overline{\mathcal{Q}}))$, and surjectivity is proved by easy induction on weight. Also, since we only work with operads with finite-dimensional weight graded components, surjectivity for $\eta'$ together with isomorphism for $\eta$ imply isomorphism for $\eta'$.

The way the notion of an inhomogeneous distributive law is defined makes sense conceptually but is difficult to check directly. Let us present an equivalent approach which is more user-friendly.  Let $\mathcal{P}=\mathcal{T}(\mathcal{X})/(\mathcal{R})$ and $\mathcal{Q}=\mathcal{T}(\mathcal{Y})/(\mathcal{S})$ be two weight graded operads presented by generators and relations. An operad $\mathcal{O}$ generated by $\mathcal{X}\oplus\mathcal{Y}$ is obtained from $\mathcal{P}$ and $\mathcal{Q}$ by an \emph{inhomogeneous distributive rewriting rule} if the defining relations of $\mathcal{O}$ are $\widetilde{\mathcal{R}}\oplus\mathcal{D}\oplus\mathcal{S}$, with subcollections $\widetilde{\mathcal{R}}$ and $\mathcal{D}$ of the free operad $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})$ satisfying two constraints. The first constraint postulates that there should exist a map of weight graded collections $\rho\colon \mathcal{R}\to \mathcal{T}(\mathcal{X})\circ\mathcal{T}(\mathcal{Y})\subset \mathcal{T}(\mathcal{X}\oplus\mathcal{Y})$ such that the post-composition of $\rho$ with the projection $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})\twoheadrightarrow \mathcal{T}(\mathcal{X})$ is zero, and that the subcollection $\widetilde{\mathcal{R}}$ consists of all elements of the form $r-\rho(r)$ with $r\in \mathcal{R}$. The second constraint postulates that there should exist a map of weight graded collections $\lambda\colon \mathcal{Y}\circ'\mathcal{X}\to \mathcal{T}(\mathcal{X}\oplus\mathcal{Y})_{(2)}$ such that the postcomposition of $\lambda$ with the projection $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})\twoheadrightarrow \mathcal{T}(\mathcal{X})$ is zero and the subcollection $\mathcal{D}$ consists of all elements $v-\lambda(v)$ with $v\in \mathcal{Y}\circ'\mathcal{X}$. Note that this means that we have $\mathcal{O}/(\mathcal{Y})\cong\mathcal{P}$; we choose some splitting $\alpha\colon\mathcal{P}\to\mathcal{O}$ on the level of weight graded collections, allowing us to define the maps
 \[
\mathcal{P} \circ \mathcal{Q}
\,\hookrightarrow\,
\mathcal{T}( \mathcal{P} \oplus \mathcal{Q} )
\,\rightarrow\,
\mathcal{T}( \mathcal{O} ) \to \mathcal{O}.
 \]
Our definition of an inhomogeneous distributive rewriting rule ensures that the map $\eta$ obtained by composing these maps is a surjection on the level of underlying objects. An inhomogeneous distributive rewriting rule is said to be an \emph{inhomogeneous distributive law} if the map $\eta$ is an isomorphism on the level of underlying objects.

For a particular case of quadratic operads, we recover precisely the definition of a filtered distributive law of \cite{DG2014}. The following result, proved analogously to \cite[Theorem 8.6.11]{LV2012}, provides a constructive approach to classification of inhomogeneous distributive laws.

\begin{proposition}\label{prop:weight3}
Suppose that the operads $\mathcal{P}$ and $\mathcal{Q}$ are quadratic, and that the map $\eta$ is an isomorphism when restricted to elements of weight $3$. Then that map is an isomoprphism in all weights, so the operad $\mathcal{O}$ is obtained from $\mathcal{P}$ and $\mathcal{Q}$ by an inhomogeneous distributive law.
\end{proposition}

\section{Main theorem}

\subsection{Parameters of the problem}

The operads we consider in this paper are $\Com$ and $\Lie$. The operad $\Com$ is generated by the symmetric sequence $\mathcal{X}$ supported in arity $2$ whose component $\mathcal{X}(2)$ is spanned by a commutative binary operation, which we denote by juxtaposition $a_1a_2$, and the relations $\mathcal{R}$ are supported in arity $3$ and are given by the $\mathbbold{k} S_3$-module generated by $(a_1 a_2) a_3 - (a_2 a_3) a_1$. The operad $\Lie$ is generated by the symmetric sequence $\mathcal{Y}$ supported in arity $2$ whose component $\mathcal{Y}(2)$ is spanned by an anti-commutative binary operation, which we denote by $[a_1,a_2]$, and the relations $\mathcal{S}$ are supported in arity $3$ and are given by the $\mathbb{F}S_3$-module spanned by $[[a_1,a_2],a_3] - [[a_1,a_3],a_2] + [[a_2,a_3],a_1]$.

Suppose that an operad $\mathcal{O}$ is obtained from $\Com$ and $\Lie$ by an inhomogeneous distributive law. This operad is a quotient of $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})$ by relations which, in this case, are all of weight $2$ and arity~$3$. The ternary component $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})(3)$ has dimension $12$; for a basis we may choose the following operations:
\[
\begin{array}{l@{\quad}l@{\quad}l@{\quad}l@{\quad}l@{\quad}l}
(a_1a_2)a_3, &
(a_1a_3)a_2, &
(a_2a_3)a_1, &
[a_1a_2,a_3], &
[a_1a_3,a_2], &
[a_2a_3,a_1],
\\ {}
[a_1,a_2]a_3, &
[a_1,a_3]a_2, &
[a_2,a_3]a_1, &
[[a_1,a_2],a_3], &
[[a_1,a_3],a_2], &
[[a_2,a_3],a_1].
\end{array}
\]
From Section \ref{sec:inhomogen}, we know precisely the viable candidates for the relations of the operad~$\mathcal{O}$; the general formulas simplify significantly because our operads have only binary operations and ternary relations:
\begin{enumerate}[leftmargin=1.75em,label=(\alph*)]
\item The set of relations must contain $\mathcal{S}$, which in our case means that we have to include
\begin{equation}
\label{Jacobi}
[[a_1,a_2],a_3] - [[a_1,a_3],a_2] + [[a_2,a_3],a_1] .
\end{equation}
\item We should have a map of weight graded symmetric sequences
 \[
\lambda\colon \mathcal{Y}\circ'\mathcal{X}\to \mathcal{T}(\mathcal{X})\circ\mathcal{T}(\mathcal{Y})
 \]
constrained by requiring that under the canonical projection $\mathcal{T}(\mathcal{X})\circ\mathcal{T}(\mathcal{Y})\twoheadrightarrow\mathcal{T}(\mathcal{X})$ the image of $\lambda$ is sent to zero. The latter condition, together with the weight grading requirement, means that in fact we have a map
 \[
\lambda\colon \mathcal{Y}\circ'\mathcal{X}\to \mathcal{X}\circ'\mathcal{Y}\oplus\mathcal{Y}\circ'\mathcal{Y} ,
 \]
and once we account for the symmetry of $[a_1a_2,a_3]$ under the transposition of $1$ and $2$, the relation we need, written using the basis elements, is of the form
\begin{equation}
\label{derivation}
[a_1a_2,a_3] - t_1 \big( \, [a_1,a_3]a_2+[a_2,a_3]a_1 \, \big) - t_2 \big( \, [[a_1,a_3],a_2]+[[a_2,a_3],a_1] \, \big) .
\end{equation}
\item We should have a map of weight graded symmetric sequences
 \[
\rho\colon \mathcal{R}\to \mathcal{T}(\mathcal{X})\circ\mathcal{T}(\mathcal{Y})
 \]
constrained by requiring that under the canonical projection $\mathcal{T}(\mathcal{X})\circ\mathcal{T}(\mathcal{Y})\twoheadrightarrow\mathcal{T}(\mathcal{X})$ the image of $\rho$ is sent to zero. The latter condition, together with the weight grading requirement, means that in fact we have a map
 \[
\rho\colon \mathcal{R}\to \mathcal{X}\circ'\mathcal{Y}\oplus\mathcal{Y}\circ'\mathcal{Y} .
 \]
The $S_3$-module of relations $\mathcal{R}$ is generated by the element $(a_1a_2)a_3-a_1(a_2a_3)$. This element satisfies two symmetry conditions. First, it is skew-symmetric under the transposition of $1$ and $3$, leading to a defining relation of the form
 \[
\left\{ \;
\begin{array}{r@{\,}l}
(a_1a_2)a_3 - (a_2a_3)a_1
&
{}
- t_3 \big( \, [a_1,a_2]a_3+[a_2,a_3]a_1 \, \big)
\\[1pt]
&
{}
- t_4 \big( \, [[a_1,a_2],a_3]+[[a_2,a_3],a_1] \, \big)
- t_5 [[a_1,a_3],a_2] ,
\end{array}
\right.
 \]
and second, the sum over the cyclic permutations of arguments is zero, meaning that we must have $t_3=0$. Finally, one can use Relation \eqref{Jacobi} to simplify the Lie monomial part, obtaining a relation of the form
\begin{equation}
\label{associative}
(a_1a_2)a_3 - (a_2a_3)a_1 - t_3 [[a_1,a_3],a_2]
\end{equation}
with just one parameter.
\end{enumerate}

\begin{lemma}
\label{rowspace}
The submodule of $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})(3)$ generated by relations \eqref{Jacobi}--\eqref{associative}
is the row space of the following $7 \times 12$ matrix $R$ with entries in the polynomial ring $\mathbb{F}[t_1,t_2,t_3]$.
The rows are the coefficient vectors of the spanning relations, and the $(i,j)$ entry is the coefficient in relation $i$ of basis
monomial $j$ in the ordered basis:
\begin{equation}
\label{matrix1}
\left[
\begin{array}{r@{\;\;}r@{\;\;}r@{\;\;}r@{\;\;}r@{\;\;}r@{\;\;}r@{\;\;}r@{\;\;}r@{\;\;}r@{\;\;}r@{\;\;}r}
 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 1  & -1  & 1\\
 0  & 0  & 0  & 1  & 0  & 0  & 0  & -t_1  & -t_1  & 0  & -t_2  & -t_2 \\
 0  & 0  & 0  & 0  & 1  & 0  & -t_1  & 0  & t_1  & -t_2  & 0  & t_2 \\
 0  & 0  & 0  & 0  & 0  & 1  & t_1  & t_1  & 0  & t_2  & t_2  & 0 \\
 1  & 0  & -1  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & -t_3  & 0 \\
-1  & 1  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & 0  & t_3 \\
\end{array}
\right]
\end{equation}
\end{lemma}

\begin{proof}
Relation \eqref{Jacobi} is skew-symmetric in all three arguments and so it is already a spanning set for the
submodule it generates.
Relation \eqref{derivation} is symmetric in $a_1$ and $a_2$, and so it suffices to permute the arguments $a_1$, $a_2$, $a_3$
cyclically in order to obtain a spanning set for the submodule that it generates.
Relation \eqref{associative} generates a two-dimensional submodule, so it is enough to take one of its two cyclic permutations.
\end{proof}

\begin{proposition}
The reduced row echelon form of the matrix \eqref{matrix1} is
\begin{equation}
\label{4parameters}
\left[
\begin{array}{r@{\quad}r@{\quad}r@{\quad}r@{\quad}r@{\quad}r@{\quad}r@{\quad}r@{\quad}r@{\quad}r@{\quad}r@{\quad}r}
1 & 0 & -1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & -t_3 & 0
\\
0 & 1 & -1 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & -t_3 & t_3
\\
0 & 0 & 0 & 1 & 0 & 0 & 0 & -t_1 & -t_1 & 0 & -t_2 & -t_2
\\
0 & 0 & 0 & 0 & 1 & 0 & -t_1 & 0 & t_1 & 0 & -t_2 & 2 t_2
\\
0 & 0 & 0 & 0 & 0 & 1 & t_1 & t_1 & 0 & 0 & 2 t_2 & -t_2
\\
0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 0 & 1 & -1 & 1
\end{array}
\right]
\end{equation}
\end{proposition}

\subsection{Cubic consequences of the quadratic relations}

We now consider the arity $4$ component of the relations determined by the row space of a matrix of the form
\eqref{4parameters}. The component $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})(4)$ has dimension 120,
and an ordered monomial basis which may be described as follows.
For uniformity of notation, we temporarily write $a \circ b = ab$ and $a \bullet b = [a,b]$ for the commutative and
anticommutative operations respectively.
There are 96 monomials of association type 1, namely $( ( ( x_1 \ast_1 x_2 ) \ast_2 x_3 ) \ast_3 x_4).\sigma$ where $\sigma(1)<\sigma(2)$ and
$\ast_1, \ast_2, \ast_3 \in \{ \circ, \bullet \}$; the order is lexicographic by the permutation $\sigma$, and then by the triple of operation symbols with $\circ \prec \bullet$.
There are 24 monomials of association type 2, namely $(( x_1 \ast_1 x_2 ) \ast_2 ( x_3 \ast_3 x_4 )).\sigma$ where $\sigma(1)<\sigma(2)$, $\sigma(3)<\sigma(4)$, and $\sigma(1) \prec \sigma(3)$; the order is lexicographic as before.

\begin{example}
The last eight monomials in association types 1 and 2 are as follows:
\[
\begin{array}{l@{\quad}l@{\quad}l@{\quad}l}
((x_3 x_4)x_2)x_1{,} &
([x_3,x_4]x_2)x_1{,} &
[x_3x_4{,}x_2]x_1{,} &
[[x_3,x_4],x_2]x_1{,}
\\[1mm]
[(x_3x_4)x_2{,}x_1]{,} &
[[x_3,x_4]x_2{,}x_1]{,} &
[[x_3x_4{,}x_2]{,}x_1]{,} &
[[[x_3,x_4],x_2],x_1];
\\[1mm]
(x_1x_4)(x_2x_3){,} &
(x_1x_4)[x_2,x_3]{,} &
[x_1,x_4](x_2x_3){,} &
[x_1,x_4],[x_2,x_3]{,}
\\[1mm]
[x_1x_4{,}x_2x_3]{,} &
[x_1x_4{,}[x_2,x_3]]{,} &
[[x_1,x_4]{,}x_2x_3]{,} &
[[x_1,x_4],[x_2,x_3]].
\end{array}
\]
\end{example}

To determine the arity $4$ component of the quotient of the free operad $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})$ by the relations $\{r_i\}_{i=1,\ldots,6}$ we are considering, we should compute the quotient of $\mathcal{T}(\mathcal{X}\oplus\mathcal{Y})(4)$ by the $S_4$-submodule generated by all partial compositions
$r_i \circ_j \mu$,
$r_i \circ_j \lambda$,
$\mu \circ_k r_i$,
$\lambda \circ_k r_i$,
where $\mu, \lambda$ represent the commutative and anticommutative operations respectively, and the limits on the indices are
$1 \le i \le 6$, $1 \le j \le 3$, and $1 \le k \le 2$.
Since $\mu$ and $\lambda$ generate one-dimensional $S_2$-modules, we need to include only the cases $k=1$, namely
$\mu \circ_1 r_i$,
$\lambda \circ_1 r_i$.
Altogether we obtain a set of 48 partial compositions that are consequences of our relations, and after applying all 24 permutations of the arguments, we have a spanning set of 1152 elements for the space of all arity 4 consequences of our relations. Note that the monomials of arity 4 which occur in the elements we constructed may require \emph{straightening} in order to belong to the set of basis monomials above. In other words, in some cases we must replace expressions of the form $f \circ g$ and $f \bullet g$ by $g \circ f$ and $-(g \bullet f)$ respectively.

\begin{example}
Row 1 of matrix \eqref{4parameters} represents the relation
\[
r_1(x_1,x_2,x_3) =
(x_1x_2)x_3
- (x_2x_3)x_1
- t_3 [[x_1,x_3],x_2].
\]
The partial composition $r_1\circ_3\lambda$ amounts to replacing $x_3$ by $[x_3,x_4]$:
\[
r_1 \circ_3 \lambda = (x_1x_2)[x_3,x_4]
- (x_2[x_3,x_4])x_1
- t_3 [[x_1,[x_3,x_4]],x_2].
\]
Straightening the monomials in this relation expresses $r_1 \circ_3 \lambda$ as a linear combination of the ordered monomial basis:
\[
r_1 \circ_3 \lambda  =
(x_1x_2)[x_3,x_4]
- ([x_3,x_4]x_2)x_1
+ t_3 [[[x_3,x_4],x_1],x_2].
\]
\end{example}

\subsection{Statement and proof of the classification theorem}

Our main result is the following classification theorem mentioned in the introduction.

\begin{theorem}
The only operads obtained from the symmetric operads $\Com$ and $\Lie$ by an inhomogeneous distributive law
are defined by the following relations:
\begin{align}
\label{relations1}
&
\left\{ \quad
\begin{array}{l}
(x_1x_2)x_3 - x_1(x_2x_3) = 0,
\\ {}
[x_1x_2,x_3] = 0,
\\ {}
[[x_1,x_2],x_3] + [[x_2,x_3],x_1] + [[x_3,x_1],x_2] = 0.
\end{array}
\right.
\\[1mm]
\label{relations2}
&
\left\{ \quad
\begin{array}{l}
(x_1x_2)x_3 - x_1(x_2x_3) - q [[x_1,x_3],x_2] = 0 \;\; (q \in \mathbbold{k}),
\\ {}
[x_1x_2,x_3] - [x_1,x_3]x_2 - x_1[x_2,x_3] = 0,
\\ {}
[[x_1,x_2],x_3] + [[x_2,x_3],x_1] + [[x_3,x_1],x_2] = 0.
\end{array}
\right.
\end{align}
To classify such operads up to isomorphism, one has to replace ``$q \in \mathbbold{k}$'' by ``$q \in \mathbbold{k}/(\mathbbold{k}^\times)^2$''.
\end{theorem}

\begin{proof}
By Proposition \ref{prop:weight3}, it is enough to check that the map $\eta$ is an isomorphism when restricted to cubic elements, which in our case means elements of arity $4$, since our operads are generated by binary operations.

The 1152 elements spanning the space of all arity 4 consequences of our relations give us a $1152 \times 120$-matrix $M$ which has entries in the polynomial ring $\mathbbold{k}[t_1,t_2,t_3]$, which we equip with the \textsl{deglex} (\textsl{tdeg} in \texttt{Maple}) monomial order
$t_1 \succ t_2 \succ t_3$.

Since $\mathbbold{k}[t_1,t_2,t_3]$ is not a PID, the matrix $M$ has no Smith form, but since many entries of $M$ are $\pm 1$, we can compute a partial Smith form; see \cite[Chapter 8]{BD2016} and \cite{BD2017}. The result is a block matrix
 \[
\begin{pmatrix}
I_{96} & 0_{96\times 24}\\
0_{1056\times 96} & L'
\end{pmatrix} ,
 \]
where the lower right block $L'$ of size $1056 \times 24$ has many zero rows. (This calculation took less than 25 seconds using Maple 18 on a MacBook Pro.) Deleting the zero rows, we obtain a matrix $L$ of size $372 \times 24$ which contains $126$ distinct elements of $\mathbbold{k}[t_1,t_2,t_3]$.
We replace each of these elements by its monic form and obtain a set $S$ of $56$ distinct elements of degrees $2$ and~$3$. Finally, we compute the reduced Gr\"obner basis for the ideal $I$ generated by $S$ and obtain the set
 \[
t_2, \quad t_3(t_1-1), \quad t_1(t_1-1).
 \]
The zero set of these consists of the point $(0,0,0)$ and the line $(1,0,t_3)$. This proves the first statement of the theorem.

To establish the classification up to isomorphism, we note that a hypothetical isomorphism between two such operads $\mathcal{O}$ and $\mathcal{O}'$ must send the symmetric generator of $\mathcal{O}$ into a nonzero scalar multiple of the symmetric generator of $\mathcal{O}'$, and the anti-symmetric generator of $\mathcal{O}$ into a nonzero scalar multiple of the anti-symmetric generator of $\mathcal{O}'$. The simultaneous rescaling by the same factor does not change the relations, so we may assume that the first scalar is equal to one. The classification result follows, since such an isomorphism multiplies $q$ by a nonzero square.
\end{proof}

We remark that the operad defined by~\eqref{relations1} corresponds to the trivial distributive law between $\Com$ and $\Lie$ \cite[Sec.~8.6.4]{LV2012}, and the operad defined by~\eqref{relations2} is the Livernet--Loday deformation of $\Poisson$ into $\Ass$ over a field of characteristic zero~\cite{MR2006}. In fact, over any field $\mathbbold{k}$ of characteristic different from two, the formula $\phi(x_1\star x_2):=x_1x_2+[x_1,x_2]$ defines an isomorphism from the operad $\Ass$ to the operad defined by~\eqref{relations2} for $q=1$. Over a field $\mathbbold{k}$ of characteristic two, an operad from that family cannot be isomorphic to the associative operad, as already the space of binary operations is a different $\mathbbold{k} S_2$-module.

As a concluding remark, we would like to note that even the existence of one non-trivial inhomogeneous distributive law should be regarded as a miracle of a sort. For instance, if we replace the operad of Lie algebras by the operad $\NLie_2$ of two-step nilpotent Lie algebras with the defining relations $[[x_1,x_2],x_3]=0$, a computation similar to ours shows that the only inhomogeneous distributive law between that operad and the operad $\Com$ is the trivial one. In particular, the Leibniz rule does not give a distributive law, as was noted by the second author many years ago, see \cite[Exercise~8.10.12]{LV2012}.

redpajama_set_name: RedPajamaArXiv


Def Leppard played show #11 of the 2013 VIVA Hysteria! residency last night at The Joint in Las Vegas, NV with 21 songs played.
'Ded Flatbird' played their farewell show as openers with seven songs played from the 'High 'n' Dry' album.
'OTTN' and 'Mirror, Mirror' from Side Two started the show followed by Side One played in order. In all Def Leppard and Ded Flatbird played 37 different songs plus the Who snippet over the 11 shows.
The Hysteria album shows will return - in June!.


text:
The 80's Christian metal/hard rock juggernauts Bloodgood announced this morning that they are writing a new album! Les Carlsen, Michael Bloodgood, David Zaffiro and Paul Jackson are writing the album on Zoom from four different states.
The last time they put out a studio album was 2013 (Dangerously Close).
The Blastozoic Era recently added their song The Word, the bonus cut from the 2021 reissue of that album.
September 28, 2021 /by colincruz
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Miss Angie Is Back With A New EP
Miss Angie is back!
By Colin Cruz
Miss Angie hit the scene as a teenage rocker on Myrrh Records in 1997, with the smash rock hits Lift My Eyes Up, Satisfied, and Hands. I loved playing those songs on my weekly FM Christian rock show back then. The title track from her debut disc, pictured above, 100 Million Eyeballs, was released to Christian CHR/Top 40 radio at the same time as the debut rock single Lift My Eyes Up, and of course, 100 Million Eyeballs was way too cool for most Christian CHR stations, but I was happy to be able to play it on a Christian Hot CHR station that used to exist in Albuquerque when I was there in 1998-2001.
In 1999, her sophomore disc Triumphantine came out, featuring the rock hit I Love Light.
In 2011, under the radar, she dropped an album called Time And Space.
And now in 2021, she releases her new EP called Desert Flags. The Blastozoic Era has added the song Joy Rider to The Middle Blastozoic Era show playlist.
May 25, 2021 /by colincruz
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Bible Study, Music News
Book Review: 80's and 90's Christian Rock Singer Rick Cua's Book "What Are You Known For?"
Book Review: What Are You Known For? (Building Your Legacy One Brick At A Time) by Rick Cua
By Colin "Cruz" Strombeck
Fans of 1980's Christian rock remember Rick Cua as the man who sang "Wear Your Colors", which in my opinion, is one of the top 10 Christian rock songs of that decade.
He certainly wasn't a one hit wonder. His band put out 11 albums in the 80's and 90's, and one in 2007.
Recently, Rick, who now serves as a pastor, wrote a book called What Are You Known For? (Building Your Legacy One Brick At A Time).
In it, Cua shares stories about his heritage of faith, his great relationship with his wife and family, and lessons learned as a member of bands over the years.
In the book's Introduction, Cua grabs the reader with this thought: "The sum of what we have done on this earth follows us to heaven." In Chapter 1, Cua reminds us that if we admire Christ, we should act like he does.
By this point in the process, the light bulb went on above my head: this is going to function like a devotional book for me. I am going to read one chapter a day and digest each lesson well, that way. If you pick up this book, you too, will likely find the same to be true. And it is a challenging devotional, at that.
In chapter 2, Cua points out that every time the Lord has a good work for us to do, the devil offers a distraction. He says we should pray for discernment to see the distraction for what it is, and to boldly declare to the enemy that we will not be dissuaded from doing God's will.
Early in the book is an amusing story of a man eating an actual glass…that was shocking. I don't think anything else in the book will shock you, but I would venture to say there are some things that will surprise you and amaze you.
There is a chapter in the book that every Christian musician who is "trying to make it" should read. Cua has been there and done that and his wisdom in this area is invaluable.
In another chapter, he talked about how, as a Christian musician, he struggled with the thought of self promotion and recounts how he worked his way through that.
Late in the book, Cua asks the reader this question: what are the learned behaviors in your life that need to be dismantled?
By the end of reading this work, you will feel like you know Rick Cua. His humble attitude emanates from the pages.
This book will make you laugh, it might make you cry, and it will make you think, and if you let it, it will bring you closer to God.
You may find, like I did, that it functions as a great devotional. Whether you look at it that way or not, I believe you will find that it is definitely a book worth reading.
December 5, 2020 /by colincruz
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A New Miss Angie Album Is In The Works…Here Is A Preview
Angie Turner Darr, aka "Miss Angie"… put out two albums on Myrrh Records (that we Blast several songs from on The Middle Blastozoic Era) in her teenage years back in the late 1990's. And now she is recording another album. The producer is none other than Gabriel Wilson, lead singer of Rock n Roll Worship Circus. It's been a long, arduous process and all they are willing to share so far is this delightful sample:
October 26, 2020 /by colincruz
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Capstone Music Festival 2020 Is Cancelled
Capstone is a Covid-casualty. Yes, unfortunately, the Capstone Music Festival has been cancelled for 2020 due to Covid-19 shutdowns in Indiana lasting into next month. The festival would have featured The Early Blastozoic Era (80's) bands Bloodgood, Deliverance, Fear Not, Whitecross, plus Glenn and Wendy Kaiser of Rez/The Resurrection Band, and The Middle Blastozoic Era bands (90's) The Blamed and XL & Death Before Dishonor (DBD)
The festival also would have featured a number of bands played on The Blast and The Implosion. Organizers say they will put together a new festival next year.
May 4, 2020 /by colincruz
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The Letter Black Is Back Together And Working On Album # 4!
The Letter Black announces tonight that they are back together; they are signing a record deal; shows are getting booked and they are writing and recording album number 4! This is exciting news for listeners of The Blast and The Blastozoic Era, as The Blast has been playing them since 2007, prior to them signing their first record deal. A teaser to the next record will come out within a week. Welcome back to The Letter Black!!!
March 7, 2020 /by colincruz
https://blastozoic.theblast.fm/home/wp-content/uploads/2023/01/blastozoic-header-logo-23-300x106.png 0 0 colincruz https://blastozoic.theblast.fm/home/wp-content/uploads/2023/01/blastozoic-header-logo-23-300x106.png colincruz2020-03-07 01:22:582020-03-07 01:22:58The Letter Black Is Back Together And Working On Album # 4!
Miss Angie Is Going To Make A New Album
Miss Angie is a modern rock/alternative artist that put out two records of that ilk in the late 1990's on Myrrh Records. Well, guess what? She is back at it! She is working on a new album that will be produced by acclaimed producer Gabriel Wilson, who was the lead singer of The Rock n Roll Worship Circus. Both groups are played frequently on the Middle Blastozoic Era radio show on The Blastozoic Era radio station:
https://Blastozoic.TheBlast.FM
Miss Angie tells The Blastozoic Era: "We are picking songs now and they range from sounding grunge 90's to prayer roomy with a little edge. " She also says that Wilson may also be playing guitars on the record.
To contribute to her fan-funded album, go here: https://www.indiegogo.com/projects/desert-flags-ep-by-miss-angie#/
The album is slated to come out in mid 2020.
June 25, 2019 /by colincruz
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Zion Has A New Album Coming Out
80's Christian metal band Zion has a new album coming out. Pre-sale orders are being taken now.
As far as mainstream comparisons go, the band sounds most like AC/DC, musically and vocally.
Here is a link to their Facebook page:
https://www.facebook.com/Zion-the-band-612822862202032/
https://blastozoic.theblast.fm/home/wp-content/uploads/2023/01/blastozoic-header-logo-23-300x106.png 0 0 colincruz https://blastozoic.theblast.fm/home/wp-content/uploads/2023/01/blastozoic-header-logo-23-300x106.png colincruz2019-05-14 14:58:092019-05-14 14:58:09Zion Has A New Album Coming Out
Jerusalem (The Band) Is Going To Jerusalem (The City)
70's and 80's Swedish Christian rock band has hired a Norwegian travel agency to plan an excursion to the city of Jerusalem, Israel in June 2020. It will be a time to be enjoyed by both the band and its fans…as the band Jerusalem plays concerts in the city Jerusalem. The band is inviting you to come hear their music in the city they get their name from…and to enjoy food, fellowship, and sight-seeing with them, and to walk where Jesus and the disciples walked.
https://blastozoic.theblast.fm/home/wp-content/uploads/2023/01/blastozoic-header-logo-23-300x106.png 0 0 colincruz https://blastozoic.theblast.fm/home/wp-content/uploads/2023/01/blastozoic-header-logo-23-300x106.png colincruz2019-05-13 13:49:312019-05-13 13:49:31Jerusalem (The Band) Is Going To Jerusalem (The City)

redpajama_set_name: RedPajamaCommonCrawl


Welcome to this highly desired Indian Ridge Community, with a first floor unit and walk out to your own patio. You may appreciate the extensive improvements made to this Unit, We begin in the Kitchen, which has been updated with new cabinets, granite counters, glass tile back splash, and stainless steel appliances. The bathroom has been completely updated, New flooring has been installed in kitchen, living room, and dining room. New lighting fixtures. Garage door and key less entry recently replaced, New windows in 2018 & Custom window details, Custom sound proof second bedroom, and plenty of storage, including attic storage!


And so the news you've all been waiting for, the date that has been bounced around and speculated on for the past month has now finally been confirmed. The new album will be out March 20th, with a preorder starting on January 30th from iTunes.
* Featuring James Mercer of The Shins on backing vocals.


text:
British Future... Identity, Integration, Migration, Opportunity
Videos: Your Stories
National Conversation: Britain
Who are we, the British, today? How well do we understand the history which has made us the society we have become? How confident are we that we want to create a shared future together, asks Sunder Katwala.
Britain has had several major identity debates at once. Perhaps we have been having an extended identity crisis as, across the post-war decades, the focus of our 'state of the nation' conversation has frequently shifted from one identity anxiety to another.
The question of whether post-imperial Britain would find a new role seemed the central question in the 1950s, while the issue, arising from post-war immigration, of whether a multi-ethnic society was either possible or desirable was most sharply contested in the 1960s.
The British joined Europe in the 1970s, and then voted to stay in, though anxieties about this reluctant Europeanism, and whether it is compatible with national sovereignty and identity have persisted since, while the 1980s were dominated by a concerted effort to reverse not just relative economic decline, but geopolitical and national psychological decline too. The 1990s saw a major constitutional upheaval reshape relationships between Britain's four nations, with the quest for a peace settlement in Northern Ireland, and the debate about whether devolution to Scotland and Wales would save the Union or, ultimately, end it.
The world since 2001 saw sharp controversies over security and liberty at home, as well as Britain's transatlantic links and global role. Long-running debates about multiculturalism, and about how the role of religion was changing in a multi-faith and increasingly secular society, were understandably sharpened, with a particular, and at times exclusive, on the role of Islam and Muslims. Meanwhile, arguments about opportunity and fairness continued to resonate – on issues from immigration to welfare – and inequality at the top was put back on the public agenda by the great financial crash of 2008.
Any of these issues can be debated practically, in terms of the costs and benefits of different options and choices. But what often gives life and feeling to public arguments about these issues is that they all also involve questions of identity – about what the choices we make say about the type of society we are, and the values we want to uphold. And we have probably done too little to join the dots between these different identity anxieties – and to examine how they each offer a different lens on the challenge of deciding the content of an inclusive citizenship and the common bonds that bind a society together.
Every democratic society in this global era is now talking about who "we" now are. Each must seek to secure confidence in an authentic sense of belonging which is inclusive of all of its citizens. That will be hardest where the identities which underpin citizenship are understood, in popular sentiment if not in law, as having a primary or significant ethnic basis, so that it will always be descent, ethnicity or faith that matters most. "Blood and soil" national identities will need to take a new civic form if they are to include all citizens.
British identity has the advantage that it has always been civic and plural. Who has ever been purely British? There is no ethnic British identity today, not least because there never was. Being British was always the shared civic identity of a multinational state so not, properly understood, a national identity as such. We can see that as a weakness, creating a fuzziness so that we remain unclear as to the content or demands of our common citizenship, or a vulnerability, because 'authentic' national identities must always ultimately overcome "invented" ones (though 300 years is a long time in identity politics).
But such a civic patriotism can both endure and bring positive strengths – so long as people choose to keep it, because it proves valuable in helping to authentically link our historic sense of ourselves as political community with an inclusive idea of a future that we want.
The fear that post-war immigration inevitably entailed national suicide – that the British were "literally mad … building our own funeral pyre" – always depended on a Little Englander amnesia about the history which gave rise to that ethnic diversity and the civic nature of British identity. Almost nobody know seriously argues that it is axiomatically impossible for those of Afro-Caribbean and Asian ethnic heritage to be fully and equally British; indeed, some from these "settled communities" will now express a rather traditional British scepticism about the next to arrive. There are anxieties too about whether we are doing enough to get integration right – but that, by definition, depends on rejecting the idea that integration is impossible.
The most direct question about whether we will remain British arises from a more traditional dimension of British diversity, whether the four nations of the United Kingdom believe they share enough to want to stick together. This dimension of British difference is complicated by the lack of any neat and tidy pattern of identities, with different public desires, demands and identity claims across the different nations of the United Kingdom.
Scotland has enjoyed a confident national political and cultural renaissance since the 1990s – so its SNP government will now put the question of Independence to a national referendum. With the wind in the Nats' sails, the question appears evenly balanced. Good work has been done to establish that the new Scottishness is civic, not ethnic, embracing Asian communities as Scottish, and depends increasingly on a positive
Scottish identity is increasingly salient and British identity less so – though that 61% of Scots say they are proud to be British citizens, shows a persistent majority appeal of "both/and" options.
Wales was much more reluctant than Scotland over pursuing devolution in both the 1970s and 1990s, with sharp divisions inside Wales over the question. Today, devolution has contributed to an increasingly confident Welsh national and cultural identity which, surveys show, most Welsh people are confident about combining with their British identity too. The Welsh debate is about strengthening the devolved settlement within the UK, and rarely about independence, though Scotland's choices will surely have an important impact on both England and Wales.
The English – 80% of the British population after Irish independence in the 1920s – were least likely to make distinctions between British and national identities for a long time. If that was once a subtle strategy to make the imperial project possible, it later became a tendency to not spot the differences at all, often to the chagrin of Celts. The English are aware of the difference now, with an increasing chorus of grievance at an assymetric devolved settlement, though without, to date, any clear sense of what the English would like to resolve this. Regional assemblies were a tidy administrative solution with no popular appeal. An English assembly has never generated civic pressure and mobilisation on anything like the the scale of the Scottish Constitutional Convention after 1992. That "we're not allowed to be English" is a regular refrain can suggest greater cultural recognition may matter more than an institutional offer – though the impediment to, say, the broader societal celebration of St George's Day can be hard to identify. But Englishness, bubbling under since the happy return of the St George's Flag as football came home in 1996, will find its contemporary voice and surely have more to say.
Northern Ireland is often kept at some distance from debates about Britishness which take place in Great Britain itself. That is not because of an absence of British identity – but rather because Ulster has been the place where British identity has both most vehemently asserted and violently rejected. In this deeply divided society, the quest for consensus ultimately meant rejecting the central tenets of British political model: instead legislating for permanent coalition to share power across traditions; for parity of esteem of British and Irish national identities; and the formal role of foreign governments in overseeing the settlement, from Thatcher's Anglo-Irish agreement to the peace efforts of the Major and Blair governments. Ditching the Westminster model can seem unusually un-British, though the politics of pragmatic accommodation have a long British history too.
Across these complexities, there is no doubt that all of these identities matter to people in Britain today.
There has always been an argument that we will have to choose between them – whether by the most strident assimilationist Unionists who tried to make Scots think of themselves as "north Britons" and failed, or by those who advocate that the English, or Scottish, or Welsh can only be truly themselves if they dismiss the mongrel cloak of British identity as an imperial hangover.But if we accept that these are ultimately all questions of democratic consent, then there must be an equally good claim that we do not have to choose between them if we don't want to.
We will remain British citizens if – and only if – there is majority consent across the different nations and regions for doing so. Once we understand that, then it makes little sense to think that the persistence of British identity depends on suppressing other national dimensions of identity. The contemporary case for Britain will be weakened if it sees Scottish, Welsh or English identities as only and always a threat. A successful civic Britishness will fly all of the British flags, and not just the Union Flag, even as those other flags are claimed for projects of independence too.
So the development of civic national identities within the UK – whether in Scotland, Wales and England, and within and between the Unionist and Irish traditions in Ulster – are projects which matter, to different ends, both for those who want to secure consent for a post-British national future, and for those who believe there is value in developing an inclusive British identity which recognises and respects the national identities which form part of the British sense of who we are.
Those on different sides of those questions can share projects too: a deeper public understanding of the shared and contested histories which can help to inform these choices; and, whatever form our citizenship takes, the common commitment to a form of civic identity which is inclusive and can secure equal citizenship in our diverse societies.
British Future's approach will be that all of these national conversations matter – as do the regional and local identities which also create a strong sense of place and belonging in Britain today.
We will want to make the case for an civic and inclusive British identity – but that commitment to inclusion and to pluralism means that we believe in giving space and voice to those who want to contest that with alternative democratic projects too. We believe that we can all learn much by engaging civically in public debate – and disagreements in a spirit of mutual respect – about what we want history, identity, nation and citizenship.
So let all of the national conversations begin.
By Sunder Katwala
Tags: Britain, British, national identity
Posted in Britain
Twitter: briitshfuture
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British Histories: What's Your Story?
National Conversation on Immigration
National Conversations
The Voice of a Generation
Empire, Faith & War A three-year-long project which aims to commemorate the remarkable but largely forgotten contribution and experiences of Sikh soldiers.
Steve McQueen's forthcoming series on black British experience The director, who has teamed up with the BBC, is working on a series about black Britons from the Sixties to the present day.
The Silent Day by Max Arthur A new book which explores the lead-up to D-Day from the unique perspective of ordinary Britons at home.
Three Pounds in my Pocket The stories of pioneering migrants who came to Britain from the Indian subcontinent in the 1950s and 1960s.
Unknown & Untold The story of Britain's WW1 Muslim soldiers
Voices of Asia A new gallery at Leeds City Museum which celebrates the sights, sounds and culture of the Asian communities that live in Leeds.
We are Family An initiative to highlight the plight of families, which is part of the wider Divided Families campaign against the new tough rules on family migration.
British Future
Monday 20.01.20
Design and development by Soapbox
By most commented
British Future, Sunder Katwala, Rachael Jolley, Soapbox, Matthew Rhodes, Steve Ballinger
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