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@article{Nebesk2006,

abstract = {By a ternary system we mean an ordered pair $(W, R)$, where $W$ is a finite nonempty set and $R \subseteq W \times W \times W$. By a signpost system we mean a ternary system $(W, R)$ satisfying the following conditions for all $x, y, z \in W$: if $(x, y, z) \in R$, then $(y, x, x) \in R$ and $(y, x, z) \notin R$; if $x \ne y$, then there exists $t \in W$ such that $(x, t, y) \in R$. In this paper, a signpost system is used as a common description of a connected graph and a spanning tree of the graph. By a ct-pair we mean an ordered pair $(G, T)$, where $G$ is a connected graph and $T$ is a spanning tree of $G$. If $(G, T)$ is a ct-pair, then by the guide to $(G,T)$ we mean the ternary system $(W, R)$, where $W = V(G)$ and the following condition holds for all $u, v, w \in W$: $(u, v, w) \in R$ if and only if $uv \in E(G)$ and $v$ belongs to the $u-w$ path in $T$. By Proposition 1, the guide to a ct-pair is a signpost system. We say that a signpost system is tree-controlled if it satisfies a certain set of four axioms (these axioms could be formulated in a language of the first-order logic). Consider the mapping $\phi $ from the class of all ct-pairs into the class of all signpost systems such that $\phi ((G, T))$ is the guide to $(G, T)$ for every ct-pair $(G, T)$. It is proved in this paper that $\phi $ is a bijective mapping from the class of all ct-pairs onto the class of all tree-controlled signpost systems.},

author = {Nebesk, Ladislav},

journal = {Czechoslovak Mathematical Journal},

keywords = {signpost system; path; connected graph; tree; spanning tree; path; connected graph; tree; spanning tree},

language = {eng},

number = {3},

pages = {885-893},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Signpost systems and spanning trees of graphs},

url = { },

volume = {56},

year = {2006},

}

Signpost Maths 8 Pdf Download Free

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TY - JOUR

AU - Nebesk, Ladislav

TI - Signpost systems and spanning trees of graphs

JO - Czechoslovak Mathematical Journal

PY - 2006

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 56

IS - 3

SP - 885

EP - 893

AB - By a ternary system we mean an ordered pair $(W, R)$, where $W$ is a finite nonempty set and $R \subseteq W \times W \times W$. By a signpost system we mean a ternary system $(W, R)$ satisfying the following conditions for all $x, y, z \in W$: if $(x, y, z) \in R$, then $(y, x, x) \in R$ and $(y, x, z) \notin R$; if $x \ne y$, then there exists $t \in W$ such that $(x, t, y) \in R$. In this paper, a signpost system is used as a common description of a connected graph and a spanning tree of the graph. By a ct-pair we mean an ordered pair $(G, T)$, where $G$ is a connected graph and $T$ is a spanning tree of $G$. If $(G, T)$ is a ct-pair, then by the guide to $(G,T)$ we mean the ternary system $(W, R)$, where $W = V(G)$ and the following condition holds for all $u, v, w \in W$: $(u, v, w) \in R$ if and only if $uv \in E(G)$ and $v$ belongs to the $u-w$ path in $T$. By Proposition 1, the guide to a ct-pair is a signpost system. We say that a signpost system is tree-controlled if it satisfies a certain set of four axioms (these axioms could be formulated in a language of the first-order logic). Consider the mapping $\phi $ from the class of all ct-pairs into the class of all signpost systems such that $\phi ((G, T))$ is the guide to $(G, T)$ for every ct-pair $(G, T)$. It is proved in this paper that $\phi $ is a bijective mapping from the class of all ct-pairs onto the class of all tree-controlled signpost systems.

LA - eng

KW - signpost system; path; connected graph; tree; spanning tree; path; connected graph; tree; spanning tree

UR -

ER -

Plenty of Stack Overflow users have told me over the years that having great signposts is a sought outcome because it helps researchers (and search engines) to find the desired content. However, for as long as I can remember, there has always been the underlying stigma that duplicate questions are pure redundant noise.

If this stigma is to change, we need to define what a good signpost looks like, potentially disincentivize answering questions which should only serve as signposts, and (most challengingly) convince curators that signposts are good.

1 is by far, from my experience, the most common. These are the ones you should be closing, downvoting and deleting; they aren't going to be useful to anyone else but the OP and the answer is available elsewhere. For 2, again, hammer the question, as for downvoting, that is up to you; some are more strict on a lack of research than others, and things like how easy the search term is to find can weigh heavily (I, for example, have a dim view when you can put the title of the question into Google and get the canonical dupe). 3 falls in the same boat as this, in my opinion. For 4 and 5, however, these are questions that should be upvoted; these are good questions, no matter how common the problem. These will be able to act as signposts in the future.

To be perfectly honest, I don't think we're ever going to see a consensus on what is a "good" signpost. Realistically speaking we could talk about bad ones until the cows come home, but something that's objectively good is a lot harder to enumerate simply because they're very seldom upvoted.

Larnu's suggestion on upvoting duplicates you find that would make for good signposts is a healthy approach since it means that it's less likely to get deleted out-of-hand, and provides useful (weak) signal to others looking for a solution to their question.

I would like there to be an agreed policy and process for deleting answers on dupes even if they are correct, accepted and upvoted, if they do not provide anything beyond the answers on the dupe target. That removes some incentive for answering dupes; it makes dupes into better signposts; and it leaves the question for the roomba to decide whether it is worth keeping or not.

As is pointed out in the original post here, the whole point of signposts is to build a path (likely via search) to one canonical answer on a topic which is all part of the long term reference value of stackoverflow. No argument there.

In the Javascript world, a classic example (which comes up multiple times a day) is a relatively new Javascript programmer encountering some problem with asynchronous operations and not understanding how to properly code that. There are a couple canonical answers on that topic that are widely referenced and often used as duplicate targets (I mark dups of them myself from time to time). And, from only the standpoint of signposts for long term search, this probably works for SO.

From the standpoint of the new user with the kind of question that just pointing them to a dup on the same concept won't actually be sufficient for them to solve their specific coding issue, the best outcome would actually be to get BOTH a few references to good answers on the same concept AND a specific explanation and coding solution for their specific problem. And, that might even be better for the site in the long run because the question/answer serves as both a signpost to the "canonical" answer on the topic and a specific solution to this actual coded question, either of which may be useful to future readers.

Some operating systems have a signature tune that is played automatically when they are loaded. This informs the user that the operating system has loaded correctly and creates a sense of identity, but can be annoying for the user if they have to listen to it repeatedly. A development on this use might be to signpost different parts of the program using musical clips.

That being said, the question is one of the most popular on the site, which indicates that it has been of value to a large number of people. For that reason, it seems reasonable (even desirable) to ensure that it isn't deleted (a fate that, due to the large number of upvotes, seems easily avoided). It is a valuable signpost on the interwebs, and seems to scratch an itch for a lot of people.

Finally, consider to use a signpost $\epsilon$ for your perturbed solution and write$$\psi=\psi_e+\epsilon\psi_1+\ldots.$$To get the right first order equation you just need to omit all the powers of $\epsilon^2$ and higher. At the end of computation just put $\epsilon=1$ and you are done.

As we place a priority on levels of skills in maths and English for learners, this means we have to do the same for our staff. At the Education and Training Foundation (ETF), our approach to supporting the workforce places equal emphasis on personal skills and teaching approaches. In maths, this is supported by a self-evaluation tool created for us by the National Centre for Excellence in Teaching Mathematics and a similar tool for English is currently under development, led by the Institute of Education. As a commissioning body, we are able to select the very best partners to work with to develop a range of research, training and resources.

We are also developing online modules for maths and English at level 2, with extension activities to level 3 for staff. These will provide support in giving feedback on maths and English skills to learners on vocational courses and apprenticeships. Simple improvements can make a difference. A cross-organisation marking policy, for instance, means that, whatever the subject studied, students have the same expectations for written English, the same feedback on vocabulary, spelling and grammar and receive the same message that these skills are important.

To build capacity, the ETF offers a series of incentives to attract new teachers and an FE Advice Line for those entering the profession. Our continuing professional development (CPD) programme to support teaching approaches offers a range of face-to-face and blended courses for maths, English and vocational teachers as well as leaders and managers. Course fees are subsidised and there is a 25% discount for members of the Society for Education and Training (SET). There are also opportunities to take part in our Joint Practice Development Programme where 25 places are available for maths and English. 2351a5e196