text:
The Schwartz Report
Microsoft Is Taking No Chances with Azure Stack Rollout
Some early testers of the Azure Stack Technical Preview were angered last month by Microsoft's decision to say the software will only be offered on integrated systems provided by Dell, Hewlett Packard Enterprise and Lenovo. Some say that the move will put the new offering out of their reach. Reading between the lines, it appears quite a few testers of Azure Stack's first technical preview weren't deploying the software properly.
While Microsoft didn't say as much, the company's public explanation last week emphasized how much is at stake. Unlike its existing Windows Azure Pack (WAP), which provides an Azure-like experience with the older Azure portal interface running atop of Microsoft's System Center and Windows Server 2012 R2, Azure Stack is the same software that runs Microsoft's public cloud.
"Azure Stack is Azure in your datacenter," said Vijay Tewari, a principal group program manager, enterprise cloud solutions, in a video posted last week. "What we are really taking is Azure that runs in the massive scale that we have in Microsoft, and we are trying to shrink wrap that and give it to you as customers so you can basically operate Azure Services out of your datacenter on hardware and systems that run in your datacenter."
Nevertheless, numerous customers and partners testing Azure Stack TP1 were vocal in their displeasure with the decision, which they didn't see coming, as noted by dozens of comments on the corporate VP Mike Neil's blog post announcing the rollout plan last month.
"Where is the democratization of Azure Stack by forcing 3 overpriced vendors as turnkey solutions onto your customers? Democratization would be offering the Azure Stack platform as a standalone product offering and allowing your customers to choose their own hardware, support plans, etc.," wrote a poster calling himself Andrew McFalls. "This is absurd, a deal breaker for us and I assume many," added another commenter identifying himself as Kevin Mahoney. "Once again Microsoft refuses to listen to its customers."
Tewari said the move was necessary in order to provide a consistent experience. A single cluster in the public Azure is about 880 servers, and the challenge for Microsoft is to make it so that it can run on a scale that customers can manage, which will start at just four servers. While Microsoft doesn't require WAP on preintegrated systems, it offer as an option via Dell and HPE its Cloud Platform System, which Tewari noted Microsoft updates on a monthly basis. Given the rapid updates of the Azure public cloud, those updates must be deployed properly on Azure Stack in order for customers to get a consistent experience. Likewise, by limiting the initial delivery stack to three partners, Microsoft is ensuring it can maintain control over how the systems are engineered.
"We need a system where we have this continuous validation of all the firmware, all of the software they own, not just initially, but subsequently as the system gets revved up, we provide that in a validated and orchestrated and updated manner to our customers," he explained. "Remember with Azure Stack, it's a full lifecycle product. That means we don't just give you the product and give you the updates and leave it to you as an exercise to apply the updates. We actually do the validation of those updates, and give it you in an orchestrated manner [and] apply those updates, which range all the way from firmware, all the way to all of the Azure services on top, so that they get updated in a manner that your tenant workloads don't go down."
Indeed, many defended the move. Jeff DeVerter, chief technologist for Rackspace's Microsoft practice, admits he was surprised but in retrospect, it will make deploying Azure Stack for its hybrid Azure services.
"It actually helps us in some areas," DeVerter said. "When we roll out a rack solution into Equinix-type hosting facilities, they are completely self-contained from the network to the compute to the storage. This solves the problem of me having to engineer, or retrofit my Azure Stack racks, and just use the hyper-converged system from whoever the vendor of the day is."
Many suggested the decision was apparently made because some early testers weren't deploying it properly. In a recent interview, Mark Jewett, senior director of product marketing in Microsoft's cloud platform division, hinted that was the case.
"One of the important things to focus on is making sure that people that are excited by the hybrid vision of being able to have a consistent platform across different types of environments, hosted and public and private, making sure that it goes beyond vision and gets to success, and I think we can mutually agree that there are some examples out there where that has not resulted in success, and so that's where our focus has really been and it has been the learnings in the early adopter program," Jewett said. "Telemetry told us that it was important to deliver the solution this way to avoid that problem. We actually saw numbers behind it."
Azure Stack could be the most important new datacenter software the company has offered in years and if early adopters pan it, that could be a huge blow to Microsoft's push to advance its hybrid cloud strategy.
"Overcoming a bad rollout is really difficult, so I can see why Microsoft is doing this to take the risk out of bad rollouts," said Terri McClure, senior analyst at Enterprise Strategy Group. "Over time, I would expect they will ease up."
Tewari said that's the goal. "As we get more feedback we will expand the diversity of hardware that we run on and eventually maybe even allow customers to run on existing hardware that they own," he said. "But we have to start with system that are well engineered, that are fully validated, with us and our partners so we can really provide that robust experience so customers can be successful with Azure Stack as we go out the door."
Posted by Jeffrey Schwartz on 08/15/2016 at 5:37 AM


M + M: First come to me!
What means I love you?
After their tremendous success with the »PIE BIBLE« published in the year 2008, M + M are now giving a first comprehensive overview about their photographic, filmic and installative work in a book. And as in their »PIE BIBLE« it relates to the impossible redeemability of intimate promises which relates to synchronous levels of meaning and different identities standing for current trends in our society.
M + M not only lay their work like a second skin over the venues they chose for their shows, but also over the pages of this book, in which following the successful and spectacular »PIE BIBLE«, they walk on unusual paths of presentation for example with attractive theirinafters.


Difference between revisions of "Portable Wine"
** This method does arguably keep the base OS image more stable, with Wine in a distinct overlay. Would that be a significant advantage though?
** If the Wine files can be kept in a different partition altogether, one could also use file-systems other than FAT for them.
In the past, installing Wine to a portable distribution could be a lengthy struggle, fraught with peril, frustration, and chroots. But that gloomy age is gone now! Thanks to the widespread and mature live-system machinery developed by many distros, it shouldn't be hard to have your own portable installation of Wine.
The next ingredient is the ISO image of whatever distro you want to run Wine on. If you don't have one in mind, two well-known Linux distros that historically focused on portability are KNOPPIX and Puppy, but most major distros including Fedora and Ubuntu now offer live-USB versions.
Another distro you might find interesting is Zorin OS, which tries to make Linux as familiar to Windows users as possible and consequently includes a version of Wine right out of the box.
You can always just go to your preferred distro's website and download an ISO image, but another option definitely worth considering is the UNetbootin tool. Not only can this create your live-USB install from a pre-downloaded ISO, or download the ISO itself, but it makes configuring other settings for your live-USB simple, and can be used entirely from within Windows.
Mac computers have a picky boot-loader and will not accept the file structure typically used on live-USBs. As a result, even though UNetbootin runs on Mac OS X, it can't create a live-USB image bootable on OS X.
Whether you choose a live-USB creator or to follow your distro's specific instructions manually, just be sure to enable persistence when you install the distro to your USB. This setting will allow your live-USB to record any changes to settings and files when you log off, which is exactly what you need to install Wine and your programs to the drive.
Once you have a persistent live-USB ready and working, installing Wine itself shouldn't be too hard at all. If you're ok with the version packaged by the distro itself, you should be able to install Wine through the package manager. We also package recent development and staging versions of Wine for a few distros; you can find out more at our Downloads page.
If you want the cutting-edge, as long as your USB drive and host computer's RAM have enough space, downloading Wine from Git and Building Wine from source should also work essentially the same.
Just don't forget to always reboot or shutdown, then unplug your live-USB properly so that data isn't corrupted.
This section is for noting other approaches that have definite disadvantages, but may actually be useful for some users. If you do come across a situation where one of these methods is preferable, feel free to move its entry to a new section with detailed instructions.
If you really want or need to, remastering your distro's ISO image with Wine and your programs already installed, then writing it to your USB is possible. In fact, this used to be the required approach for portable Wine. Compared to a persistent live install though, this method results in an installation that is both more difficult to setup and less convenient to update.
Installing Wine and your prefixes and programs to a flash drive, without any underlying distro, is entirely possible. Besides being inherently less portable (it would only work on unix hosts with all necessary dependencies), you would need to configure each host system to properly access the files.
Actually, if you're just interested in unix host systems, this might not be too hard. One could keep a script on the flash drive to do any necessary configuration.
Would symlinking even be necessary, or could directories just be appended to the session's PATH variables?
This method does arguably keep the base OS image more stable, with Wine in a distinct overlay. Would that be a significant advantage though?
If the Wine files can be kept in a different partition altogether, one could also use file-systems other than FAT for them.
This page was last modified on 22 April 2018, at 18:16.


check out these hostels when traveling in China!
Each of these hostels, including Ba Fu Guest House in Hohhot, is offering a special deal to stay one night for the low price of 10 yuan plus a book! Each of the places has restrictions for when the deal applies (not usually on national holidays). 10 yuan is a great deal if your travel location and time line up with one of these deals! There are some great locations on the list: Xishuangbana, Xining, Wuhan, Taiyuan, and others!
If the page doesn't load correctly, try this link.
Even if you only stay in Hohhot a short time, you're bound to have the experience of some place you love (a gym, a restaurant, a road side park, a store, etc) closing, being torn down, moving, or changing locations.
I think because things change so quickly and without notice here, I feel more nostalgic about the (few) things that are still the same as when I first moved here. I was re-acquainted with one of those things recently.
My daughters collectively had seven (yes, seven) pairs of jeans with holes in the knees like these pictured below.
Years ago when I moved here there were some older ladies who would sit outside the west entrance of Man Da and repair clothing. I'm rarely in that part of town, but even when I had been there in recent years, I hadn't seen the ladies. I assumed they, too, were gone due to changes in Hohhot. Then not too long ago I was somewhere farther north on that street (贝尔路商业街)and I saw the ladies! But, even that had been quite awhile ago so I wasn't sure if they were still there. Since I had seven pairs needing repair, I decided to go on a hunt and see if they were still there.
YES! They have moved north of Man Da's west entrance and now sit outside the 永和豆浆大王 restaurant. There work is still as good, and inflation hasn't changed their prices all that much.
These ladies don't just sew a patch, they actually re-thread the jeans. It's about 25-30 yuan per garment depending on how many garments, how many holes, the size of the holes, etc. If you only have one, they'll do it while you wait. If you have more, leave them and come back in a few days.
From father away, you can hardly see they've been stitched. For my seven pairs of jeans it was 200 yuan. For me that was worth the drive and wait because little sisters can keep wearing them and I can't replace new ones for that price.
I like keeping my old things and I love the few things in Hohhot that aren't changing. Help me keep these ladies in business!
I've also written some about how to repair other items (not just clothing) in this post.
Do you have any suggestions about repairing items here?
Another cool (new to me) place I found was Bei Shan Park. North Mountain Park? I'm going with pin yin instead of English translation.
I saw this park on the map, but had never heard of it or been there, so we went as a family today to check it out. Here's the name and address if you want to check it out too.
It was just a typical Chinese park in the sense of concrete paths to walk on with grassy areas you can't walk on. No playground or attractions, but lots of scenic areas and statues to take pictures with.
It's also newly constructed (I can't find an exact date, but it seems it was finished at end of 2016) and on the northeast edge of town, so it's not very crowded (or at least it wasn't on a beautiful Saturday in May).
Other good points: lots of public bathrooms, well-kept (or at least new enough that nothing is falling apart yet), and good views.
The main gate. Faces east, just south of the North Second Ring Road on Wan Tong Road.
If you enter at this gate, there's a bit of a hike up the hill/mountain. It's nothing. Unless you have to carry the stroller and a 25 pound kid up there. Instead of going up the hill first, if you turn back toward the gate, there are stairs where you can climb to the top of the wall that makes the gate.
Both gates face east, the one is a little farther south than the main gate. Take this gate if you are pushing a stroller or carrying stuff. This gate can be identified by the fact that the gate itself is a giant abacus.
The park trail/road simply goes up the hill, makes a loop around a circular area at the top, and back down.
The park overlooks a church and a water park.
Have you been there already? What were your thoughts? Let us know in the comments!


Dr. Sittaporn Kongsree is affiliated to Development Economics, National Institute of Development Administration. Dr. Sittaporn Kongsree is currently providing services as Academician. Dr. Sittaporn Kongsree has authored and co-authored multiple peer-reviewed scientific papers and presented works at many national and International conferences. Dr. Sittaporn Kongsree contributions have acclaimed recognition from honourable subject experts around the world. Dr. Sittaporn Kongsree is actively associated with different societies and academies. Dr. Sittaporn Kongsree academic career is decorated with several reputed awards and funding.
Dr. Sittaporn Kongsree research interests include Financial Economics.


Located at the seashore two kilometers south from Budva and practically connected with the small fishermen settlement Rafailovici, is situated town called Becici. Two thousand meters long Becici Beach was pronounced in 1935 the most beautiful beach of the Mediterranean by the Parisian experts. Because of the long, sandy beach, calm sea and the abundance of beach amusement Becici is ideal place for family holidays. At clients' disposal there is a beach service as well as accessories for water sports, tennis and basketball courts, volleyball grounds, mini-golf terrain etc.
Villa San Marco*** is situated in Becici, near the hotel "The Queen of Montenegro" and cca 400 meters far from the beach. Villa is located on a slight elevation above sea level. Nights here are very pleasant and slightly chilly. Villa is located in the most peaceful part of that beautiful sea town and is suitable both for rest and for joy of all generations.
Total capacity of villa is 36 studios, three floors and without an elevator. All studios have the individual air conditioning (included in the price). We offer free parking place for our guests.
Studio 1/2 has double bed, and studio 1/2+1 has also extra bed (chair that opens) for the children or the third person, bathroom (with the shower), kitchen, CATV, AC, Wi-Fi internet is available in all rooms and is free of charge and big balcony with the table and chairs. The kitchen is well equipped and there is also dishes and cutlery available for use. If needed, you can take a studio with a crib in the ground floor.
Cleaning and bed linen change in studio is every 5 days, if you stay more 10 days. Frequent cleaning is possible (extra charge). The maid does not enter in the room during the stay of guests, except on their own request. There are towels for personal hygiene in the studio. Maintenance of hygiene in the studio during the stay is the responsibility of passengers. We offer a laundry service also.
For all our guests we provide transport services from the airport in Tivat and Podgorica to the villa, it is need to book the day before arrival (transportation services are paid on the spot and is 20Eur from Tivat and 40Eur from Podgorica). For the bicycle fans we can rent bicycle in the villa.
We invite you to visit us so that you can experience and enjoy in the quality of our services.
NOTICE: In the studio 1/2+1 can stay maximum 3 adults or 2 adults with 2 children up 10 years.
in advance 30% and the rest 10 days before the start using the services.
Pricelist no. 1 from 13.12.2017.


text:
The new exercise HIT: do less
Published: Friday, March 12, 2010 - 09:19 in Health & Medicine
The usual excuse of "lack of time" for not doing enough exercise is blown away by new research published in The Journal of Physiology. The study, from scientists at Canada's McMaster University, adds to the growing evidence for the benefits of short term high-intensity interval training (HIT) as a time-efficient but safe alternative to traditional types of moderate long term exercise. Astonishingly, it is possible to get more by doing less!
"We have shown that interval training does not have to be 'all out' in order to be effective," says Professor Martin Gibala. "Doing 10 one-minute sprints on a standard stationary bike with about one minute of rest in between, three times a week, works as well in improving muscle as many hours of conventional long-term biking less strenuously."
HIT means doing a number of short bursts of intense exercise with short recovery breaks in between. The authors have already shown with young healthy college students that this produces the same physical benefits as conventional long duration endurance training despite taking much less time (and amazingly, actually doing less exercise!) However, their previous work used a relatively extreme set-up that involved "all out" pedaling on a specialized laboratory bicycle. The new study used a standard stationary bicycle and a workload which was still above most people's comfort zone —about 95% of maximal heart rate — but only about half of what can be achieved when people sprint at an all-out pace.
This less extreme HIT method may work well for people (the older, less fit, and slightly overweight among us) whose doctors might have worries about them exercising "all-out". We have known for years that repeated moderate long-term exercise tunes up fuel and oxygen delivery to muscles and aids the removal of waste products. Exercise also improves the way muscles use the oxygen to burn the fuel in mitochondria, the microscopic power station of cells.
Running or cycling for hours a week widens the network of vessels supplying muscle cells and also boosts the numbers of mitochondria in them so that a person can carry out activities of daily living more effectively and without strain, and crucially with less risk of a heart attack, stroke or diabetes.
But the traditional approach to exercise is time consuming. Martin Gibala and his team have shown that the same results can be obtained in far less time with brief spurts of higher-intensity exercise.
To achieve the study's equivalent results by endurance training you'd need to complete over 10 hours of continuous moderate bicycling exercise over a two-week period.
The "secret" to why HIT is so effective is unclear. However, the study by Gibala and co-workers also provides insight into the molecular signals that regulate muscle adaptation to interval training. It appears that HIT stimulates many of the same cellular pathways that are responsible for the beneficial effects we associate with endurance training.
The upside of doing more exercise is well-known, but a big question for most people thinking of getting fit is: "How much time out of my busy life do I need to spend to get the perks?"
Martin Gibala says "no time to exercise" is not an excuse now that HIT can be tailored for the average adult. "While still a demanding form of training," Gibala adds, "the exercise protocol we used should be possible to do by the general public and you don't need more than an average exercise bike."
The McMaster team's future research will examine whether HIT can bring health benefits to people who are overweight or who have metabolic diseases like diabetes.
As the evidence for HIT continues to grow, a new frontier in the fitness field emerges.
Source: Wiley-Blackwell
Exercising just got easier for busy people, study shows
Fri, 12 Mar 2010, 16:31:17 UTC
New alterations found in young adults with type 2 diabetes
Thu, 11 Mar 2010, 16:39:10 UTC
High-intensity interval training is time-efficient and effective, study suggests
intense exercise
maximal heart rate
stationary bicycle

redpajama_set_name: RedPajamaCommonCrawl


Bernabé Rivera (footballer) FAQs 2019- Facts, Rumors and the latest Gossip.
Bernabé Rivera (footballer) FAQs: Facts, Rumors, Birthdate, Net Worth, Sexual Orientation and much more!
Who is Bernabé Rivera? Biography, gossip, facts?
Bernabé Rivera Núñez http://homepages. enterprise. net/eico/1930. htm was a Paraguayan football forward who played for Paraguay in the 1930 FIFA World Cup. He also played for Club Sportivo Luqueño.
Is Bernabé Rivera still alive? Are there any death rumors?
Yes, as far as we know, Bernabé Rivera is still alive. We don't have any current information about Bernabé Rivera's health. However, being younger than 50, we hope that everything is ok.
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Bernabé Rivera has played for multiple teams, the most important are: Paraguay national football team and Sportivo Luqueño.
Are there any books, DVDs or other memorabilia of Bernabé Rivera? Is there a Bernabé Rivera action figure?
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Bernabé Rivera plays as a Forward.
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Entry Level Work From Home Jobs!
New to making money from home? In between jobs or looking to transition to something entry level from home? Fear not! There are lots of different types of positions that you could pursue.
Many of these I have tried and found that they make a nice compliment to a part time job or to do more than one part time to give you multiple streams of income.
Consider also whether you have or are interested in developing any popular skills for these types of positions such as typing, internet research, writing or even frequent use of social media such as Facebook.
Need help getting started? Have suggestions for other entry level jobs? Reach out to me by leaving a comment below.
Appen – Frequently has projects that, though competitive, allow you to use your Facebook feed to help them find out what kind of content is most popular. At the time I personally held this position, it paid over $13/ hour. The position is called Social Media Evaluator.
Appen also hires Search Engine Evaluators in which you'll help them discern if search engines are producing relevant results.
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This is one of Lenny s best. I was surprised it s not archived yet.
The names of the chords are fictious. Don t know the right names.
Sorry but hope U ll get it right.
How should I B 2 U?
How can we make it through?
How can I make U smile?


Gluten-free flour usually results in dense dough, so it works well in desserts with a vegetable element, like this moist zucchini bread.
Preheat oven to 350 degrees F. Grease bottom and 1/2 inch up sides of a 9x5-inch loaf pan. In a large bowl stir together the first eight ingredients (through baking soda). Make a well in center of flour mixture.
In a medium bowl combine the next four ingredients (through oil). Add egg mixture and zucchini all at once to flour mixture. Stir just until moistened (batter should be slightly lumpy). Fold in walnuts. Spread batter into prepared loaf pan.
Bake 1 hour or until a thermometer registers 200 degrees F., covering loosely with foil the last 10 minutes if necessary to prevent overbrowning. Cool in pan on a wire rack 10 minutes. Remove; cool completely on wire rack. Wrap and store overnight before slicing.


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text:
Q: Why doesn't mathematical induction work backwards or with increments other than $1$? From my understanding of my topic, if a statement is true for $n=1$, and you assume a statement is true for arbitrary integer $k$ and show that the statement is also true for $k+1,$ then you prove that the statement's true for all $n\geq 1$. Makes sense.
However - why can't I do this backwards? If I show the statement is true for $k-1,$ aren't I showing that if the statement is true for $n=1,$ it's likewise true for $n=0,n=-1,n=-2,\ldots$?
Also, why can't I prove the statement is true for $k+0.1$, and prove the statement true for $n=1.1,1.2,1.3,\ldots$? Both of these scenarios, in my mind, seem to follow the same logic as the "proper" definition of mathematical induction - but apparently they're no-go. Can someone please explain why?
Thank you!
Edit: The consensus seems to be that yes, even though it's abnormal, induction as I've stated above it is logically sound. Which raises the question - why has my math teacher said this is wrong? Is it as I suspect, where she didn't want me straying from the proper definition of $k+1$ induction and possibly confusing myself (or losing points on the test), or is there something else that makes the above fundamentally flawed?
Thanks!

A: Even in the natural numbers, you can argue backwards.

Proposition. Suppose that $A \subseteq \mathbb{N}$ has the property that every $a \in A$ either equals $0$, or else satisfies $a-1 \in A$. Then $A$ is downward closed. (Meaning that for all $a \in A$ and $b \in \mathbb{N},$ if $b<a$ then $b \in A$.)

I don't think its hugely useful, though. Thankfully, a more useful variant of "backwards" induction holds for the integers:

Proposition. Suppose that $A \subseteq \mathbb{Z}$ has the property that every $a \in A$ satisfies $a-1 \in A$. Then $A$ is downward closed. (Meaning that for all $a \in A$ and $b \in \mathbb{Z},$ if $b<a$ then $b \in A$.)

By the way, a good way of looking at induction is via free algebras.

Claim. Let $T$ denote an equational theory, $X$ denote a set, and write $Z$ for the $T$-algebra freely generated by $X$. Suppose also that $A$
  denotes a subset of $Z.$ Then if

*

*$X \subseteq A$ and

*$A$ is a $T$-subalgebra (of $Z$)

  then $A$ covers the entirety of $Z$.

For example, we can think of $\mathbb{Z}$ as the object freely generated by $X=\{0\}$ with respect to the equational theory with two unary operations $S$ and $P$, subject to the axioms $S(P(n))=n$ and $P(S(n))=n$. It follows (by the preceding claim) that if $A$ is a subset of $\mathbb{Z}$ that is closed under $S$ and $P$ and includes $0$, then $A$ covers the entirety of $\mathbb{Z}$.

A: You can also have steps larger than one, i.e., to show that all numbers at least 12 can be represented by summing 3s and 7s:
\begin{align}
12 &= 3 + 3 + 3 + 3 \\
13 &= 7 + 3 + 3 \\
14 &= 7 + 7
\end{align}
Now you can construct $12 + 3 k$ for any $k \ge 0$, and similar for the other two. As they interleave, they cover all numbers promised.

A: A more rigorous understanding of induction shows that it is much more abstract than what you seem to think it is. The way I learned it was in the context of Peano Systems, you can apply proof by induction to any set P equipped with a function S (the successor function, S(x) is the successor of x) such that:
-P contains an element that is no element's successor (often called "1", not to be confused with the natural number)
-Every element of P except "1" is a successor of another element of P
-Different elements of P have different successors
-P is closed under the successor function

A: It does work in both ways that you suggested. Typically induction problems are stated so that you want to prove $P(n)$ for all natural numbers $n$. Then you start with $P(1)$ and go from $n$ to $n+1$. However, if you wanted to prove it for negative integers instead you would start with $P(-1)$ and go from $n$ to $n-1$. Of course, you can just change the variable $m:=-n$ and reduce the second case to the first. The same goes for your other example with $m:=10(n-1)$. Since 'backwards' and 'fractional' induction reduce to the standard induction they are equally justified.

A: Consider forward-backward induction. You prove it for the base case (usually $n = 1$) and then you prove that if it works for $n = k$ then it works for $n = 2k$. This means it works for $n = 1, n = 2, n = 4 ... n = 2^m$ for any positive integer $m$. Then you prove that if it works for $n = k$ it works for $n = k-1$. If the above holds then it works for any positive integer because every positive integer is less than $2^m$ for some $m$.
This exhibits induction working with multiplication and another increment (namely incrementing by $-1$).
Here is a proof of the following statement about complex numbers:
$$|z_1z_2...z_n| = |z_1||z_2|...|z_n|.$$
The case where $n=2$ can be shown with simple algebra $(|z_1z_2| = |z_1||z_2|)$. Assume it holds for $n = m.$ Now, we will show that it works for $n = 2m$. We must prove that $$|z_1z_2...z_{2m}| = |z_1||z_2|...|z_{2m}|.$$ Let $a = z_1z_2...z_{m}$ and $b = z_{m+1}z_{m+2}...z_{2m}$. It is clear that $|ab| = |a||b|$ because $a$ and $b$ are two complex numbers. From the induction hypothesis we have that $|a| = |z_1||z_2|...|z_{m}|$ and $|b| = |z_{m+1}||z_{m+2}|...|z_{2m}|$.
Substituting this into our equation we find that: $$|z_1z_2...z_{2m}| = |a||b| = \Big( |z_1||z_2|...|z_{m}|\Big)\Big(|z_{m+1}||z_{m+2}|...|z_{2m}|\Big)=|z_1||z_2|...|z_{2m}|.$$ We have shown that the formula works for $n = 2, 4, 8 ... $ using this method. Now, note that the equation still holds for any $n$ that is less than $2^k$ for $k\in\mathbb{Z}_+$. This is because we may set any given $z_j = 1$ which will remove one of the terms from both sides of the equation. Because every finite $n$ is less than $2^k$ for some $k$, the formula holds for every $n$.

A: What you're describing is really induction on $\mathbf{N}$ "in disguise." (I know some of the other answers mention this, but this goes slightly more in-depth.)
Given some property $P$, the axiom of induction says that if $P(1)$ is true, and $P(k)$ implies $P(k+1)$, then $P(n)$ is true for all natural numbers $n$. Now, if you want to use induction with some increment $c$ (such as $-1$ or $.1$, like you mentioned in your question), and starting at some number $a$, define the following sequence $$a_1 = a, a_2 = a + c, a_3 = a + 2c, \ldots, a_n = a + (n-1)c, \ldots$$
Now, if you're trying to demonstrate property $P$, define a new property $Q$, such that $Q(n)$ is true if $P(a_n)$ is true, and false otherwise. Now, show that $Q(1)$ is true (meaning $a$ satisfies your property), and that $Q(n)$ implies $Q(n+1)$ (meaning if $P(a_n)$ is true, then $P(a_n + c) = P(a_{n+1})$ is true). The aforementioned axiom of induction now implies that $Q(n)$ is true for all natural numbers $n$, so your property $P$ holds for $a_1, a_2, a_3, \ldots$ which is exactly what you wanted to show.

A: The one thing to note is that the principle of induction is basically a trivial mapping to one particular Peano axiom, one of the axioms defining the set of natural numbers.  Your examples are simple mappings to that axiom but not trivial.
Your teacher does not want to see you skip over simple steps.  "But that's just the same" is not a valid part of a proof.  Once you make this variable change or mapping an official part of the proof (and in a math paper, pushing in the word "equivalently" in a proper place might be all that is needed, but in school you might not get off that cheaply), your teacher cannot complain.
But any kind of handwaving to get from almost-A to A is not acceptable in mathematics.
In university, nobody will bother whether your starting point is 0, 1, or actually anything integer as long as you are not doing formal logic and reasoning, and your proof is for $n \ge whatever$ with $whatever$ being what you explicitly proved as being a valid starting point.
When doing downward induction, however, you usually need to be more verbose.

A: I'm going to be brave and disagree with most of the other answers. (Exception: I agree with, and have upvoted, Dan Piponi's answer; but I think that that answer buries the lede.)
You've been given a theorem in class, along these lines:

Let $P(n)$ be a statement about $n$, with these properties:

*

*$P(1)$ is true.

*For all $k \in \mathbb{N}$, if $P(k)$ is true then $P(k+1)$ is true.

Then $P(n)$ is true for all $n \in \mathbb{N}$.

and your teacher wants you to write proofs using that theorem.
Using your mathematical intuition, you have correctly divined that there are many other, similar theorems, such as one theorem to cover "all integers $m \le 1$" by starting with $1$ and counting backward, and one theorem to cover "all numbers of the form $1+\frac{p}{10}, p \ge 0$". But those theorems aren't "givens"; they don't appear in your textbook, and your teacher hasn't taught them to you. When you're asked to write a proof for class, it is a tacit requirement that your proof depend only on a certain set of preexisting results that it's O.K. for you to use — the axioms and theorems you're given in class, plus (probably) mechanical algebra and arithmetic. Without that tacit requirement, you could "prove" everything by simply stating that it's a correct statement and therefore proven. So I think your teacher is right to expect you to use the canonical formulation of induction you've been given in class, rather than other similar theorems.
That said, your modified theorems can be proven fairly straightforwardly as corollaries of regular mathematical induction. Dan Piponi's answer shows how to do that for one of your theorems. So you can use your modified theorems, but only as an intermediate step: first you prove the modified theorem, then you use it to prove what you are actually asked to prove. But this is probably unnecessary busy-work; you might as well just combine the two steps, and write your proof directly in terms of the theorem you've been given.

A: Inductive arguments can be applied to any objects which can be defined inductively. They work by transforming each object x into a proof P(x).
For example, the Naturals (0, 1, 2, ...) can be defined inductively as 0 and n+1, given any Natural n. Since every Natural is some combination of these two cases, we can transform every Natural into a proof by transforming these two cases. We transform 0 into P(0) and transform n+1, given any Natural n into P(n+1), given any proof P(n). These are exactly the inductive cases you mention.
If we use different inductive cases, we must transform those cases instead. Note that this is not at all limited to numbers. Here are some examples:

*

*A list of objects can be inductively defined as empty or X followed-by L, given any object X and list L. We can prove P for all lists (of all objects) by proving P(empty) and P(X followed-by L), given any proof P(L).

*A tree can be inductively defined as leaf or branch A B, given any trees A and B. We can prove P for all trees by proving P(leaf) and P(branch A B), given any proofs P(A) and P(B).

Inductive definitions and proofs like this are an active area of research in Computer Science, since they form the basis of "pure functional programming".

A: You actually CAN do those things.  You just have to use the more general version which proves mathematical induction to be a valid tactic.  Mathematical induction derives from category theory
Really what you do is this:

*

*Define an state for which your predicate is true (i.e. prove for N=1), and make a proof P for that state

*Define a transform which turns any state into a different state (mathematical induction uses the transform N' = N + 1)

*Demonstrate that there is a transform so that "If a proof P is valid for N, then a proof P' is valid for N'" (prove the statement for N+1 using the proof of the statement for N)

*Demonstrate that, for all N you are interested in, those N are "reachable" by repeated application of the transform.

Mathematical induction is an example of this process.  It is designed to work from N=1 with N'=N+1 only because that particular transform provably reaches every integer.  What that means is that, if you can come up with a valid way to prove your statement for N+1 using N, the rules of how integers handle infinity will take care of the highly technical part of guaranteeing reachablitly by all natural numbers.
Why is this important?  It is reasonably easy to make transforms which reach all natural numbers, and demonstrate a proof for them.  It is much harder to make other transforms, such as ones which could reach all real numbers.  If you have to prove something over all real numbers, you have to be much more careful.
As a classic example, it is easy to make proofs using mathematical induction which work for all positive rational numbers (A/B where A and B are natural numbers) and 0.  However, numbers like pi are irrational.  If you mistakenly apply your proof to an irrational number, it may give you the wrong result.
A common tactic to do other things, such as N=N'+0.1 or N=N-1 is to define a reversable transform for the problem into natural numbers (trivial to do for the two examples you listed).  As an example, you could change N=N'+0.1 to 10N = (10N)' + 1 = 10N' + 1.  Then, if you solve that problem using mathematical induction, you reverse the transform (such as dividing by 10) to provide the desired proof.

A: Consider your first example of counting down:
Suppose property $Q(n)$ holds for $n=1$.
Suppose also that $Q(n)$ implies $Q(n-1)$.
Define a new property $P$ by $P(n)$ if and only if $Q(2-n)$.
We supposed $Q(1)$ so we know $P(1)$.
Suppose $P(n)$. That implies $Q(2-n)$. We deduce $Q(2-n-1)$ which is $Q(2-(n+1))$. And that implies $P(n+1)$.
So we can use induction to find that $P(n)$ holds for all $n\ge 1$.
And therefore Q(n) holds for all $n\le 1$.
So counting down works fine. But if you haven't yet proved it works you need to prove it at least once from the usual induction argument.
A similar line of reasoning shows that your second example works fine too.

A: I just want to add to the other good answers above that in speaking of some number, when we write -n or -k, we do not say, "negative n" or "negative k". We say "the opposite of n" or "the opposite of k." The reason why we avoid saying "negative n" is because we do not know the value of n. Thus, to refer to n as negative or positive could be confusing. This matter of diction alone helps elucidate many of the answers above, particularly on the question of whether you can use the principle of mathematical induction in the opposite direction.

A: This kind of induction has both it goes backwards and has increments other than 1.

A: Suppose I gave you a set, $\mathbf T$, that is a subset of the natural numbers, $\mathbb N = \{1, 2, 3, \dots\}$.
That is to say, $\mathbf T \subseteq \mathbb N$. How do we prove is that $\mathbf T = \mathbb N$? Peano showed that proving
$\quad$ (1) $1 \in \mathbf T$
$\quad$ (2) $k \in \mathbf T$ implies $k+1 \in \mathbf T$
proves that $\mathbf T = \mathbb N$. Actually it's a bit more complicated than that, but the details are not that important for what we are doing here.
Mathematical induction is built upon this principle.
Saying that $P(1)$ is true is equivalent to saying that $1 \in \mathbf T$.
Saying that $P(k)$ is true implies that $P(k+1)$ is true is equivalent to saying that $k \in \mathbf T$ implies $k+1 \in \mathbf T$.
Saying that $``P(n)$ is true for $n = 1, 2, 3, \dots"$ is equivalent to saying that $\mathbf T = \mathbb N$.

If you want to show that $P(n)$ is true for $n = 1.1, 1.2, 1.3, \dots $, then $\mathbf T \subseteq \{1.1, 1.2, 1.3, \dots\}$ and your goal is to prove that
$\mathbf T = \{1.1, 1.2, 1.3, \dots\}$ What you need to prove is
$\quad$ (1) $1.1 \in \mathbf T$
$\quad$ (2) $k \in \mathbf T$ implies $k+0.1 \in \mathbf T$
If you can do that, then P(n) is true for $n = 1.1, 1.2, 1.3, \dots $.

If you want to show that $P(n)$ is true for $n = 0, -1, -2, \dots $, then $\mathbf T \subseteq \{0, -1, -2, \dots\}$ and your goal is to prove that
$\mathbf T = \{0, -1, -2, \dots\}$ What you need to prove is
$\quad$ (1) $0 \in \mathbf T$
$\quad$ (2) $k \in \mathbf T$ implies $k-1 \in \mathbf T$
If you can do that, then P(n) is true for $n = 0, -1, -2, \dots $.

redpajama_set_name: RedPajamaStackExchange


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text:
Q: UWP CanvasRenderTarget giving corrupt image I'm doing a "hello world" type test with win2d.
In my canvas draw event, this gives me a nice round circle as I expect:
args.DrawingSession.FillCircle(100, 100, 50, Windows.UI.Colors.Red)

But I would like to draw "off screen", so I tried this:
    Dim dev As CanvasDevice = sender.Device
    Dim crt As New CanvasRenderTarget(dev, CSng(sender.ActualWidth), CSng(sender.ActualHeight), sender.Dpi)
    Dim ds As CanvasDrawingSession = crt.CreateDrawingSession
    ds.FillCircle(100, 100, 50, Windows.UI.Colors.Red)

    args.DrawingSession.DrawImage(crt)

This sort of works but as I resize the page to force redraws, I see all sorts of strange corrupted images, looks like tearing, uninitialsed memory, etc.
What is going on and how do I fix this?
Many thanks.

A: You only need to call CanvasDrawingSession.Flush in rare cases involving interop between different graphics APIs.  This will sorta work for what you are doing here, but is far more expensive than necessary.
The problem is that you are not disposing your drawing session.  The return value from CreateDrawingSession needs to be disposed when you have finished drawing to it.  In C# that is typically done via a "using" statement, although explicitly calling Dispose has the same effect.  Afraid I don't know VB well enough to advise what the VB equivalent of "using" is.

A: Ok, figured it out, need to do ds.clear at the start and ds.flush before DrawImage to get the hardware renderer to actually do it


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Located in Canby, OR. Oregon registration is current.
Additional storage cabinets/drawers in head and forward berth.
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Companionway trim, rails, compass surround, hatch boards and sliding hatch rails all replaced with new mahogany, epoxy base coat and six coats gloss varnish. All re-bedded with polysulfide sealant.
Winch and stainless cable for swing keel replaced (2015); Original to-hull drain valve removed and replaced with a proper bronze thru-hull and seacock for sink and icebox drains. Water tank cleaned (cleanout hatch added) and water hose replaced with in-line water filter. Pressure water pump, faucet and fittings are on boat but not installed.
Hull, cabin and decks prepped and painted (2016-2017) using Awl Grip two-part epoxy; Kiwi-Grip on decks and cockpit sole. New rub-rail installed all around. Pettit Hydrocoat water-based bottom paint with biocide (copper free). All bilge areas cleaned and freshly coated with Epoxy Bilgecote.
Windows were removed, cleaned, tinted and rebuilt with recommended sealant and seals; Reinstalled with polysulfide bedding.
New Fortress aluminum anchor and 300 braided rode; Spare Danforth anchor with 250 rode.
New digital depth sounder and transducer.
New custom covers for main hatch/companionway, mainsail, headsail, winches and tiller (2017) all made with matching Sunbrella material.
Sail Inventory: Main with two reef points (rigged for slab reefing), working jib, 135 genoa, 150 genoa all in very good to good condition; Plus an older main in serviceable condition as a backup.
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Say Hi to Plant Sci!
Frank recently conducted an interview with the Plant Sciences Advising Coordinator Tarrah Geszvain to find out more about the new Plant Sciences major.
Frank has some lesser known study spots on Ag Hill for you to check out!
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Senior Wildlife and Fisheries Science major Megan Davis recounts her journey through internships with the U.S. Fish and Wildlife Service that ultimately landed her a full-time job upon graduation from Penn State!
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Here's my story of "Rock the Vote," a fantastic concert with ALO, G. Love, and Jack Johnson, sponsored by Penn State's Student Programming Association.
Hey there! I'm here to give you all a look at college life from my eyes. Since I'm new, I figured I'd share a little about myself!
My Bass Fishing Adventure Continues!
Following our second place finish this summer on Lake Champlain, ERM grad Grae Buck and I had the opportunity to compete at the FLW College Fishing Northern Conference Championship on Philpott Lake in Virginia!
This fall semester marks both the beginning of my final semester at Penn State as well as the conclusion of an amazing summer internship with the Conewago Creek Initiative.
For my last summer blog, I want to pass on some good tips to incoming freshmen to help you adjust and prepare you for your new life in college!
While the College of Ag Sciences' Agricultural Progress Days event isn't really a secret, it certainly isn't as well known to college students as it should be. Finished yesterday, Ag Progress Days is held each year about 2 weeks before classes start and is the perfect combination of food, friends, and interactive learning.
As a special treat for you, I interviewed one of our college's fantastic faculty members, Dr. John Ewing. He is the program coordinator for my major and a great guy, so I was happy to gather some info from him!
While there may not be a swarm of students and activities here over the summer, the University Park campus and State College sure stay busy with plenty of great opportunities!


Looking forward to another great Saturday at the New Albany Farmer's Market. We will be under the pavillion at the corner of Bank and Market Streets from 8-1 in beautiful downtown New Albany, Indiana. Hope to see you there!
We will have plenty of veggies on Saturday, new potatoes, green beans, zucchini – both green and golden, summer squash, beets, green onions as well as a new crop of "candy" onions. Swiss chard, broccoli, cauliflower, cabbage, cucumbers and we may still have a few fresh peas available. We will have plenty of home grown tomatoes. We will have blueberries this Saturday and have started picking the first peaches of the season. Of course these are not the free stone variety, but they are delicious.
Don't forget we have farm-fresh, free-range eggs available; pick some up at the market as well.


text:
Which defense gave Brady the most trouble? QB gives surprising answer
/ by Darren Hartwell
Presented By Nissan
Tom Brady has beaten (literally) every NFL team over his 21-year career. Talk to any NFL defender over the past two decades, and they can probably remember getting torched by TB12.
Brady has had rare moments of mortality, however, and like any quarterback, certain defenses have his number. During his guest appearance on Peyton and Eli Manning's "Monday Night Football" broadcast on ESPN, the Tampa Bay Buccaneers QB revealed which defense gave him the most trouble while with the New England Patriots.
His answer wasn't exactly obvious.
Here's what Bucs fan received in return for Brady's 600th TD ball
"I think those early Miami defenses: 2000 to about 2005," Brady said. "They lined up in the same front, same coverages, and I think the worst games in my career were against the Dolphins. Like 79 yards passing, 115 yards passing.
"We couldn't complete passes. It was embarrassing. And they didn't do anything different."
That's a deep cut, but it's a good choice by Brady. Those early-2000s Dolphins defenses were loaded, featuring a pair of All-Pros in pass rusher Jason Taylor and linebacker Zach Thomas and a stacked secondary led by Patrick Surtain, Sam Madison, Arturo Freeman and Brock Marion.
And while Brady didn't have the numbers exactly right, he was pretty close: He threw for just 76 yards in a 2004 Patriots win over Miami and was held to fewer than 110 yards in three of his nine full games against the Dolphins from 2001 to 2005.
Here's Brady's stat line in those nine games versus Miami:
55.4% completion rate, 164 yards per game, 13 TDs, 10 interceptions; 76.6 passer rating
That's not exactly GOAT material.
The Patriots still managed to go 6-3 in those nine games, but the Dolphins' efforts against a young Brady clearly stuck with the QB, to the point where he views them as tougher than the New York Giants defenses that thwarted him in two separate Super Bowls.


Obama likes to give speeches and tell American's that al Qaeda is debilitated and on the run.
Meanwhile, back in reality, the Obama regime continues to help the spread of radical Islam rather than curtail it. Congressman Louis Gohmert explains.


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text:
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            Apache log4net™ SDK Documentation - Microsoft .NET Framework 4.0

PatternLayoutConverter Constructor

 Initializes a new instance of the PatternLayoutConverter class.

        [Visual Basic]

Protected Sub New()

        [C#]

protected PatternLayoutConverter();

See Also

        PatternLayoutConverter Class | log4net.Layout.Pattern Namespace

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Copyright 2004-2013 The Apache Software Foundation.

Apache log4net, Apache and log4net are trademarks of The Apache Software Foundation.

redpajama_set_name: RedPajamaGithub


attend the meetings to stay current with Unit 19 activities.
Allegiance and Preamble were recited by all members. We did not sing.
Parks. Way to go Molly. You'll be a great Queen for Unit 19.
After the crowning of PQ Molly, former PQ Grace expressed her gratitude for her year to Unit 19 as their PQ.
President Debbie Howell, in the absence of President Pam Brown and Chaplain Cheryl Craig.
those members who do not own computers.
by Charlotte Connors and carried on the floor. Paper copies were made and given to members.
Bills for Presentation: There were no bills for presentation.
have started to come in, reported Gail Gilliam.
Auxiliary Emergency Fund: $7.50 was collected by Edie Owston.
American Legion such a great success. Way to go Unit 19 and Post 19, the Post looked great!!!
credenza if anyone should need his help.
Harvest Share suggested bringing: tuna and tuna helper, pasta and pasta sauces, romaine noodles and rice and dried pinto beans.
Constitution and By-Laws: No report.
Education: No report as President Pam is in the hospital.
Post 19 and snacks will be sold by Unit 19.
Chair Jane also announced a Spaghetti Supper will be held on April 26, Friday. She is expecting members to donate desserts.
Members need to come out in full force to help Jane with these projects.
do your part. She also needs help setting up on Saturday.
There is a complete listing of the current young ladies scheduled to go to VGS and the Alternates attached to the minutes.
was made into a motion to accept these nominees by Barbara McAdams and seconded by Libby Moss and carried on the floor.
documents were hurriedly read but copies are included in the minutes in the Unit 19 Files.
National Security: Chairman Anita Jo Foster was absent.
Membership: Chairman Libby Moss reported that our Unit is at 75%.
And of note: Molly Kelley was crowned 2019-2020 Unit 19 Poppy Queen. Details are posted in the Program segment.
Public Relations: No report at this time.
motion and it carried on the floor.
getting us involved!!! Let's all get to quilting soon.
Correspondence: There was no correspondence to report.
The small pot was won by Debbie Howell, $3.75 and donated to Unit 19 VGS.
The next meeting will be held, May 7, 2019 at 6:30PM following dinner at 6:00 PM.


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Schwank's low intensity, sealed-combustion radiant tube heaters are ideal for a wide range of heating applications with low to medium ceiling heights. These highly adaptable tube heaters provide the highest level of comfort and functionality. Schwank tube heaters produce higher radiant efficiency and more uniform heat distribution with typical fuel savings of 35% to 50% over conventional forced-air heating systems.


text:
On the trail: Walker contends broader input needed to pass new tax cut bill
By Jason Rosenbaum • Sep 18, 2013
This article originally appeared in the St. Louis Beacon, Sept. 18, 2013: In the wake of the Missouri Legislature's failure to override Gov. Jay Nixon's veto of a tax-cut bill, some Republicans called out the 15 members of their party who went against the leadership and the rest of the caucus.
But one of those 15, Rep. Nate Walker, R-Kirksville, fired his own shot at the GOP leadership. He stressed that if his party wants to enact legislation cutting taxes, they'll have to embark on a more comprehensive strategy that brings in some of the critics.
"If they're going to get a meaningful tax cut bill, they're going to have to have us," said Walker (who won election last year to the Missouri House after a prior legislative stint in the 1980s) in a telephone interview with the Beacon. "Because if they bring forward a bill that the governor's going to veto, the same scenario will happen."
The bill that got all the attention was sponsored by Rep. T.J. Berry, R-Kearney. HB253 would have cut income, business and corporate income taxes. (It also increased sales taxes on prescription drugs and college textbooks.)
Last week's attempt to override HB253 fell far short of the 109 votes needed to overturn Gov. Jay Nixon's objection, garnering the opposition of 15 Republicans and every member of the House Democratic caucus.
Walker likely raised eyebrows earlier this week when he sent an email message to the other 14 GOP lawmakers who voted against the bill.
The message included a scathing rebuke of House Speaker Tim Jones, R-Eureka. In his message, first reported by the Missouri Times, Walker wrote that he was "proud to be recognized with you all on the 'Wall of Shame' or any where else they want to link the 15 of us."
Walker was referring to threats from some groups backing HB253, who have dubbed the 15 House Republicans who voted against the override "the flimsy fifteen" and hinted at political punishment. Some groups – like Missouri Club for Growth – have threatened to fund primary opponents of Republicans who voted against the override.
After saying he'd be willing to talk to anybody who needed "any moral support," Walker wrote: "One thing that I know for sure, you all are of the highest integrity … something I can NOT say for our Speaker Tim Jones."
"What a disgrace he has become," Walker wrote. "Talking out of both sides of his mouth … throwing us under his AG Campaign bus."
Jones – a likely candidate for attorney general in 2016 – has been particularly forthright in his support for Berry's bill. The speaker also has been critical of Republican lawmakers who voted to sustain Nixon's veto.
Jones contended on the Dana Loesch Show that many fellow Republican lawmakers "buckled under the pressure of the misrepresentations … by the taxpayer-funded fly-arounds all summer long" by the governor.
The speaker also said on that show that lawmakers who voted against the bill "are going to have to go back home and explain why they voted against the first broad-based tax relief package in nearly a century for all Missourians."
Walker said the e-mail was not intended to stir up any problems. But, he added, it was meant "to reinforce what we did and to kind of stand in solidarity."
"Everything that I said, I stand by," said Walker, adding that "maybe I was a little harsh with the words."
Asked whether Jones pushed a vote for the bill to further his own statewide ambitions, Walker – who unsuccessfully ran for lieutenant governor in 1984 – replied, "You'd have to ask Tim Jones what he's doing."
Tom Smith, a top aide to Jones, told the Beacon that the speaker is trying to defuse misconceptions that he might punish members of the caucus who opposed the override of HB253.
"He is calling each member and letting them know that the media reports about losing chairmanships are either speculation from the media or maybe the desires of the media, but not reality," Smith said in a statement.
(Jones told the Associated Press that Walker "is a member of our caucus, and I look forward to working with him next year to pass legislation that will improve the lives of all Missourians.")
Walker said he talked with Berry last week to suggest ways to retool the legislation. He also said it might be worthwhile – and logistically sound – for competing sides to be at the table next year.
Backlash questioned
In the run-up to the veto session, Walker was one of the more outspoken GOP members against the tax-cut bill. He joined with others – including Nixon and numerous education groups – who contended the bill was poorly drafted and could hurt education funding.
The opposition came in the midst of a $2.4 million ad campaign from proponents of the override, underwritten by financier Rex Sinquefield.
Several GOP lawmakers who voted against HB253 – such as Reps. Elaine Gannon, R-Jefferson County, and Kent Hampton, R-Malden – are from "swing" districts, while others hailed from strongly Republican areas.
The latter group included such rural lawmakers as Rep. Lyle Rowland, R-Taney County. In his post-veto session newsletter, Rowland cited concerns about possible cuts to public education and services for the elderly and the bill's elimination of the sales tax exemption for prescription drugs.
"I am not against a reduction in our taxes ... I am against a bad piece of legislation," wrote Rowland, who faced no general-election opposition last year. "This is why I voted against HB253."
Other Republicans who voted against HB253 who faced either marginal or no Democratic opposition last year included: Reps. Jeff Messenger, R-Republic, David Wood, R-Versailles, and Don Phillips, R-Kimberling City.
Walker said those "no" votes should give HB253 supporters pause.
"If you look at the voting pattern, that's 15 rural legislators who read the bill, analyzed the bill and figured out it was not a good bill," Walker said. "It was a flawed bill. ... And it would probably be pretty harmful for our local communities."
Since he voted against the override, Walker said he's received an overwhelmingly positive response from his constituents and "never felt any intimidation or any threats from any place within my district."
Walker added that if "there were intimidation and threats, it was from all the people who had a lot of money and influence that came in.
"My district's not for sale. I'm not for sale. And whatever happens as a result of my vote, I'm willing to live by that consequence or whatever," Walker said. "But I know that I did the right thing."
In fact, Walker said "four or five people who didn't vote 'no'" may find that it would have been better for themselves politically to have opposed the tax cuts.
Walker said he was in the "super minority" during his first House stint in 1980s, when Democrats held huge majorities in the Missouri House. "The pendulum swings back and forth," Walker said.
"People ought to recognize that if they really want a tax cut, they're going to have to have all of us (15 legislators who opposed HB253) come back or they can wait a couple years," Walker said. "In a couple years from now, if the Republicans keep acting the way they are, we won't have a supermajority."
Two-way street?
For his part, state Sen. Eric Schmitt -- who handled the tax-cut bill in the Senate -- said many of the ideas in HB253 have been floating through the legislative waters for years.
Schmitt, R-Glendale, said it would be a wrong-headed premise to assume that the bill "all came about magically in 2013."
For instance, Schmitt said he filed the business income deduction back in 2011.
He said there are both philosophical and competitive arguments to pass tax cuts that could appeal to all parties. That includes keeping pace with other states like Kansas and Oklahoma that are lowering their income tax rates.
"There was a lot of momentum going into 2013 to do something on tax relief," said Schmitt, who added that he would welcome dissenters – including Nixon and education groups – to help craft new tax cut legislation.
"I'm more than willing – and I'm sure other people would be more than willing – to come to the table and talk to people who are genuinely interested in the reduction of tax rates to grow the economy," Schmitt said. "But the question is are those folks interested in that?"
Schmitt also said the governor should be prepared next session to offer an alternative proposal. "There has been information that he is interested in working on that issue next year – we'll see," he said.
Schmitt said numerous people will spend between "now and January addressing some of the issues other people raised and coming forward early with another proposal next year."
Besides the prescription drug issue, Schmitt said there could be some discussion on whether to lower rates by different intervals.
In any event, the senator added, "I don't think this issue is going away."
The GOP 15
Sue Entlicher, Bolivar
Paul Fitzwater, Potosi
Dennis Fowler, Advance
Lyndall Fraker, Marshfield
Elaine Gannon, DeSoto
Kent Hampton, Malden
Jeffrey Messenger, Republic
Lynn Morris, Nixa
Donna Pfautsch, Harrisonville
Don Phillips, Kimberling City
Craig Redmon, Canton
Lyle Rowland, Cedarcreek
Mike Thomson, Maryville
Nate Walker, Kirksville
David Wood, Versailles
On the Trail, a weekly column, weaves together some of the intriguing threads from the world of Missouri politics.
Jo Mannies, Beacon political reporter, contributed information for this article.
St. Louis Beacon archives
2013 Missouri Legislature
Missouri Veto Session 2013


text:
from connector import channel
from google3.cloud.graphite.mmv2.services.google.game_services import realm_pb2
from google3.cloud.graphite.mmv2.services.google.game_services import realm_pb2_grpc

from typing import List

class Realm(object):
    def __init__(
        self,
        name: str = None,
        create_time: str = None,
        update_time: str = None,
        labels: dict = None,
        time_zone: str = None,
        description: str = None,
        location: str = None,
        project: str = None,
        service_account_file: str = "",
    ):

        channel.initialize()
        self.name = name
        self.labels = labels
        self.time_zone = time_zone
        self.description = description
        self.location = location
        self.project = project
        self.service_account_file = service_account_file

    def apply(self):
        stub = realm_pb2_grpc.GameservicesRealmServiceStub(channel.Channel())
        request = realm_pb2.ApplyGameservicesRealmRequest()
        if Primitive.to_proto(self.name):
            request.resource.name = Primitive.to_proto(self.name)

        if Primitive.to_proto(self.labels):
            request.resource.labels = Primitive.to_proto(self.labels)

        if Primitive.to_proto(self.time_zone):
            request.resource.time_zone = Primitive.to_proto(self.time_zone)

        if Primitive.to_proto(self.description):
            request.resource.description = Primitive.to_proto(self.description)

        if Primitive.to_proto(self.location):
            request.resource.location = Primitive.to_proto(self.location)

        if Primitive.to_proto(self.project):
            request.resource.project = Primitive.to_proto(self.project)

        request.service_account_file = self.service_account_file

        response = stub.ApplyGameservicesRealm(request)
        self.name = Primitive.from_proto(response.name)
        self.create_time = Primitive.from_proto(response.create_time)
        self.update_time = Primitive.from_proto(response.update_time)
        self.labels = Primitive.from_proto(response.labels)
        self.time_zone = Primitive.from_proto(response.time_zone)
        self.description = Primitive.from_proto(response.description)
        self.location = Primitive.from_proto(response.location)
        self.project = Primitive.from_proto(response.project)

    def delete(self):
        stub = realm_pb2_grpc.GameservicesRealmServiceStub(channel.Channel())
        request = realm_pb2.DeleteGameservicesRealmRequest()
        request.service_account_file = self.service_account_file
        if Primitive.to_proto(self.name):
            request.resource.name = Primitive.to_proto(self.name)

        if Primitive.to_proto(self.labels):
            request.resource.labels = Primitive.to_proto(self.labels)

        if Primitive.to_proto(self.time_zone):
            request.resource.time_zone = Primitive.to_proto(self.time_zone)

        if Primitive.to_proto(self.description):
            request.resource.description = Primitive.to_proto(self.description)

        if Primitive.to_proto(self.location):
            request.resource.location = Primitive.to_proto(self.location)

        if Primitive.to_proto(self.project):
            request.resource.project = Primitive.to_proto(self.project)

        response = stub.DeleteGameservicesRealm(request)

    @classmethod
    def list(self, project, location, service_account_file=""):
        stub = realm_pb2_grpc.GameservicesRealmServiceStub(channel.Channel())
        request = realm_pb2.ListGameservicesRealmRequest()
        request.service_account_file = service_account_file
        request.Project = project

        request.Location = location

        return stub.ListGameservicesRealm(request).items

    def to_proto(self):
        resource = realm_pb2.GameservicesRealm()
        if Primitive.to_proto(self.name):
            resource.name = Primitive.to_proto(self.name)
        if Primitive.to_proto(self.labels):
            resource.labels = Primitive.to_proto(self.labels)
        if Primitive.to_proto(self.time_zone):
            resource.time_zone = Primitive.to_proto(self.time_zone)
        if Primitive.to_proto(self.description):
            resource.description = Primitive.to_proto(self.description)
        if Primitive.to_proto(self.location):
            resource.location = Primitive.to_proto(self.location)
        if Primitive.to_proto(self.project):
            resource.project = Primitive.to_proto(self.project)
        return resource

class Primitive(object):
    @classmethod
    def to_proto(self, s):
        if not s:
            return ""
        return s

    @classmethod
    def from_proto(self, s):
        return s


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Heroes for Change is a volunteer programme in Kenya that provides a platform for college students to make a difference.
The programme will recruit and train 100 students from five universities in Kenya; namely Strathmore University, University of Nairobi (Main Campus), University of Nairobi (Lower Kabete), Jomo Kenyatta of Agriculture and Technology, Kenyatta University.
Students will be taken through a rigorous training of our programmes below in order to become agents of change.


text:
Dick & Dom: 'It's not just for 8 to 12-year-olds anymore. There are jokes for everyone'
Jay Richardson
After Trevor & Simon and Ant & Dec, Dick & Dom were the next cheeky-chappie kids' TV double act, and they're on their away to their Edinburgh debut
Children's TV legends Richard McCourt and Dominic Wood, better known as Dick & Dom, are making their Edinburgh Fringe debut. The Bafta-winning show Dick & Dom in da Bungalow was a huge hit on CBBC in the noughties and they've scarcely been off television since, yet still found time to play King Arthur and Patsy in the Monty Python musical Spamalot. Channelling their chaos into a live stage show about winning the last fish finger, they're promising as much mischief and mayhem as ever …
What brings you to the Fringe?
Dick: It's something we've always dreamt about and the opportunity came up. So why not?
Do you enjoy mixing live shows with television? Does it scratch a different itch?
Dom: It does. Our backgrounds are on stage, so we feel comfortable. When you're recording, you never see or meet your audience. Doing this, you get instant gratification and feedback. It's fantastic.
Dick: How did you know about our itches?
How has your relationship lasted 22 years?
Dom: Blackmail. No, it's a genuine friendship. If you respect each other's wants, needs and differences of opinion, make each other laugh and like being in each other's company, then it'll work. You can't manufacture that. Many have tried but it doesn't work unless it happens naturally.
In da Bungalow was manic. With the greatest of respect, do you still throw yourself into your shows as hard?
Dom: I would hope there is great respect in that. Obviously, we're older and our bodies don't let us do things they used to. But we still try to give as much as possible. Our crowds vary from our current audience at CBBC to students and middle 20s who used to watch In da Bungalow, to people in their 30s and 40s. In Edinburgh we'll carry on as if it were the early 2000s.
Dick: It's not just for 8 to 12-year-olds anymore. There are jokes for everyone.
Presumably some original viewers are now bringing their kids?
Dick: Absolutely. It's a bit weird.
Dom: Because we began in 1996 we're almost into grandchildren territory.
What games feature in the live show?
Dick: One is Dick and Dom's Roody Song, which are swearwords you can use without being told off. We put them into a song and whichever side sings the Roody Song the best wins.
Is there plenty of gunge?
Dom: Sadly not. There is a game called Musical Splatudes. It's like musical statues but if you move you get a sort-of pie in the face, all done with much hilarity. There's less mess because we live in a boring age of health and safety. The stage can't get messy because the kids might slip over and sue you. They don't want traditional pies in the face because it stings their eyes. We still use water. Even then you get the odd one complaining.
Dick: The H2O-intolerant.
Apparently, East 17's Tony Mortimer suffers from gunge-paranoia because of how often it happened to him in the 1990s.
Dom: Do you know what? When we meet anyone that's been on any of our shows, they have nothing but the fondest memories. Iwan Thomas, the athlete, said what an amazing time he'd had. And that was about 15 years ago now. I don't think we scarred anyone …
Dick: Jim Bowen. God rest his soul.
Dom: He said 'lads, please, I'm off to a wedding after this. Can you do me a favour and not get any of that milkshake on my suit?' So of course, like naughty children, we did it. I understood his disappointment. Oh, and Rachel Stevens walked off when she found out that she was about to get covered in custard. She was picked up by her management and removed from the studio. We were live on BBC One, came to the end game and everyone went 'where's Rachel?'
Dick: We shouted a bit, made the situation 20 times worse, and then carried on.
Did some jokes sail close to the wind for a young audience?
Dom: As far as we were aware, everything was completely above board. We were just trying to get the ratings up and wouldn't have known if anything wasn't as it should have been.
Dick: Talk to our management.
Do you have insurance like Ant & Dec in case one of you dies or is otherwise incapacitated?
Dom: No. We might get each other's CD collection but that's about it.
And you once shared a flat?
Dom: Yeah, we lived in about five different homes around West London which was great fun, living and working together. And then we both got our missuses. And that stopped.
What was performing Spamalot like?
Dick: Tough actually; the script was huge, real West End theatre. And we met the Pythons.
Dom: When you have to sing 'Always Look on the Bright Side of Life' in front of Eric Idle, that's hugely nerve-wracking.
Dick: We grew up on the Pythons, that's where a lot of our humour comes from. A proud moment.
Could In da Bungalow ever be revived?
Dick: We wouldn't bring it back as a series but if there was an opportunity for a one-off special, then we'd certainly consider it as an interesting bit of nostalgia. Never say never.
Dick and Dom: Dick v Dom
Brett Vincent for Get Comedy Are you ready?! The multi BAFTA-winning legends Dick and Dom are coming to Edinburgh for the first time in 2018. They are bringing their fast-selling, insane UK tour to the Fringe for a comedy experience that the whole family will never forget. The audience is split in half and you lot in the…
Dick and Dom: Dick v Dom (5 Aug 2018)
Kids TV stars make entertaining Fringe debut
Best kids shows at Edinburgh Festival Fringe 2018(20 Jul 2018)
This year's Fringe programme is bursting at the seams with colourful hi-jinks, scientific explosions and moving theatre for the whole family
2018 Edinburgh Festival Fringe wants you to leap into the unknown(6 Jun 2018)
Tickets are now on sale for this year's Fringe programme which focuses on 100 years of WW1, #MeToo, disability and class issues
Alfie Brown: Imagination (18 Aug 2019)
Identity explored in this show about love, friendship and football
Ari Shaffir: Jew (5 Sep 2018)
An educational and brash hour about leaving Jewish orthodoxy behind
Marcus Brigstocke – Devil May Care (29 Aug 2018)
The devil has the best jokes as an unlikely Satan walks among us
Sam Campbell: The Trough (28 Aug 2018)
Offbeat silliness that never takes its foot off the daft gas
John Hastings: Float Like a Butterfly, John Hastings Like a Bee (27 Aug 2018)
Storytelling thankfully trumps audience chat in an occasionally icky show
Dick and Dom
Activity box offers
Get creative, fun & educational kid's crafts delivered — latest discounts
Films for kids
Family films in cinemas this week include
and Wolfwalkers


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The following information must be provided, regardless of pay source.
Have you transferred any real property or cash to anyone in the past 30 months?
Should the need arise, I will change rooms based on the needs of the facility.
I recognize my financial obligation to pay all doctors fees, hospitalization charges, private duty nursing, and medication charges which I may require that are not covered by state and federal programs.
If my condition becomes such that in the judgment of the health professionals at Sagepoint, I can best be cared for elsewhere, I will accept their recommendation.
I hereby certify that all of the above information is accurate. I give my permission for representatives of Sagepoint to obtain verification of the information given above.


Minister for Food and Civil Supplies R Kamaraj on Monday said there is no shortage of items in PDS shops across the State.
Senguttuvan also pointed out that the government had allotted Rs 5,500 crore for two consecutive previous years. "Furthermore, when DMK president M K Stalin raised the issue of shortage of funds for the subsidy, the government replied that the funds can be managed but there was no stock in the ration shops," he said.
Although the State implements the Food Security Act, 20 kg of rice is given for free to every household per month, Kamaraj added.