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Mike has a session from Cancer Bats.
2 hours
See all episodes from Punk Show with Mike Davies
International You Day
Bigger Cages Longer Chains
Ghost Of Alexandria
Holidays In The Sun
Ronnie And Mags
Aces Up
Clean Sheets
Jealous Again
Coma Girl
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Road Sick (BBC Radio 1 Session)
Laid To Rest
Freak Out (bed)
Give Me The Sweet And Low Down
Rocca Avenue
A Message To You, Rudy
(feat. Rico Rodriguez)
Run For Cover
Soul Gathering
Criminal Class
Bricks And Mortar (BBC Session Track)
Drunken Physics (BBC Radio 1 Session)
State Of Grace
We Love Fun
The Unraveling
If I Needed You There
Acid Rain
Hersacy Of Cynacism (BBC Radio 1 Session)
Explain Her, I Hardly Know Her
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Rv Service in Lafayette, CA
YP - The Real Yellow PagesSM - helps you find the right local businesses to meet your specific needs. Search results are sorted by a combination of factors to give you a set of choices in response to your search criteria. These factors are similar to those you might use to determine which business to select from a local Yellow Pages directory, including proximity to where you are searching, expertise in the specific services or products you need, and comprehensive business information to help evaluate a business's suitability for you. "Preferred" listings, or those with featured website buttons, indicate YP advertisers who directly provide information about their businesses to help consumers make more informed buying decisions. YP advertisers receive higher placement in the default ordering of search results and may appear in sponsored listings on the top, side, or bottom of the search results page.
Road Runner RV
415 Beatrice Ct, Brentwood, CA 94513
- (925) 392-4267
1. Poet's Corner Service Center
1901 Oak Park BlvdPleasant Hill, CA 94523
2. Finer Detail
Concord, CA 94518
3. Timmons Auto & Truck Repair
2855 Contra Costa BlvdPleasant Hill, CA 94523
From Business: * Early / Late Drop Off / Pick Up * Free Local Shuttle
4. Autos International
2201 Commerce AveConcord, CA 94520
From Business: * Under New Management* Open-Mon-Fri : 8am-5:30pm-Sat by Appointment* 16 Years Experience
5. Concord Coach Co
551 N Buchanan CirMartinez, CA 94553
Great Sevice Along With A Great Price....# 1 In The Bay Area..
6. East Bay RV
4961 Pacheco BlvdMartinez, CA 94553
Beware! We purchased our RV from this company, the whole purchase experience was just fine. In the last year this company became a storage only faci…
7. Jim's Auto Repair
1135 Erickson Rd Ste CConcord, CA 94520
8. Automotive Maintenance Machine
199 Mayhew WayWalnut Creek, CA 94597
Super service and tells you only what you really need. Very busy so appointments are advised. He's reasonable too!!
9. FH Dailey Chevrolet
800 Davis StSan Leandro, CA 94577
15180 E 14th StSan Leandro, CA 94578
I am ashamed it took me this long (2+years) to say something about this business. I bought a brand new motor home and new car to use for a tow and t…
11. Cash Motors
12533 San Pablo AveRichmond, CA 94805
12. Rodeo Marina
609 Quinan StPinole, CA 94564
13. Avalon RV
510 E Channel RdBenicia, CA 94510
I took my RV in Today for a rear Ladder installation on my 2013 Fleetwood Jamboree Searcher!I purchased ladder from Camping World after asking them …
14. California RV Rentals
5506 Kelrose CtConcord, CA 94521
15. McCarty's Bike Auto & RV
3131 San Pablo Dam RdEl Sobrante, CA 94803
16. Alameda Auto Lab
631 Buena Vista AveAlameda, CA 94501
From Business: For more than 20 years, Alameda Auto Lab has been providing of automobile repairing services that provides various related products and services. Based in Alameda…
17. Guaranteed Auto Service
23673 Connecticut St Ste 1Hayward, CA 94545
The best auto repair experince EVER! Gary was super honest and straight forward with my '02 Grand Marquis! The labor rate were extremliy fair! The A…
18. Speedometer Electric Service
21101 Mission BlvdHayward, CA 94541
This shop is amazing, they fixed my car after 3 other shops could not. I will be bringing all of my vehicles to Speedometer Electric from now on. Th…
19. Peterson Hydraulics Inc
23285 Connecticut StHayward, CA 94545
20. Bear Rv
3393 Enterprise AveHayward, CA 94545
21. Bay Equipment & Repair
3393 Enterprise AveHayward, CA 94545
22. S & S Rv
900 Brookside DrRichmond, CA 94801
23. Nor Cal Heavy Duty Tow & Storage
29303 Pacific StHayward, CA 94544
Best place to call for your towing needs
24. Andre's Automotive
25711 Dollar St Ste 16Hayward, CA 94544
25. Bear Collision and Service Center
3393 Enterprise AveHayward, CA 94545
From Business: The BEAR Team is derived of expert certified mechanics with the inspiration to improve company performance and integrity on a daily basis. As a family owned busin…
26. RST Automotive
37473 Glenmoor DrFremont, CA 94536
This place is really the one stop repair shop, you can get all your cars "foreign or domestic" fixed here, as well as your car smoged, the…
27. Road Runner RV
415 Beatrice CtBrentwood, CA 94513
From Business: Road Runner RV, Inc. is East county's most complete parts store. We pride ourselves on providing you with the services you need at prices you can afford. We are a…
28. Bay Area Body Shop
38472 Cedar BlvdNewark, CA 94560
From Business: *Direct Referral Program for Major Insurance Companies *Free Written Estimates *Lifetime Warranty on All Repairs and Paint *Computerized Color Match System *Famil…
29. Road Runner Rv Repair
415 Beatrice CtBrentwood, CA 94513
Unlike many of the large corporate franchised RV repair shops, Road Runner RV offers a more personalized approach to repairing or enhancing your RV.…
30. Applied RV Parts
38424 Cedar BlvdNewark, CA 94560
From Business: We offer Recreational Vehicles and Campers, Trailer Equipment & Parts, Trailers-Repair & Service, Trailer Hitches, Recreational Vehicles and Campers-Repair and Se…


text:
Nearby words
- improve,
- improve on,
- improvement,
- improver,
- improvidence,
- improvisation,
- improvisational,
- improvisator,
- improvisatory,
- improvise
Origin of improvident
Examples from the Web for improvident
Government nurtured these behemoths by weaving an improvident safety net, and by practicing crony capitalism.Break Up the Banks?|Megan McArdle|February 11, 2013|DAILY BEAST
The old elite worried that the masses were too improvident and seditious.The New Heat Center|Michael Lind|January 19, 2009|DAILY BEAST
Fear has also postponed marriage, except in the improvident.Glimpses into the Abyss|Mary Higgs
He does not intend to spend many years in mining, or if he does, he has become thriftless and improvident.Hittel on Gold Mines and Mining|John S. Hittell
Nor is this improvident attitude confined to the young, to the professional and the other non-business classes.Creating Capital|Frederick L. Lipman
He was a singular character, as improvident as Lorado but in a far different way.A Daughter of the Middle Border|Hamlin Garland
Of course, we are not so improvident as to act now on the hypothesis of successful negotiations between us.Letters and Literary Memorials of Samuel J. Tilden, v. 1|Samuel J. Tilden
1510s, from im- "not" + provident. It retains a stronger connection with the "provide" aspect of Latin providere. Related: Improvidently.


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More goes into an excellent restaurant than just immaculate food. Of course, that's one of the most critical factors that can help you decide if your money was well-spent. However, presentation means everything. Not only should the food on the… Read More
How High-Quality Uniforms Can Make a Difference for Your Business in 2019
Every January businesses around the country make resolutions and plan to help grow their range and impact in the new year. But, how many succeed? If your business is hoping for an improved year there are many options for how… Read More
How High-Quality Uniforms Can Make a Difference for Your Business in 2019
Every January businesses around the country make resolutions and plan to help grow their range and impact in the new year. But, how many succeed? If your business is hoping for an improved year there are many options for how… Read More
Why Custom Emblems and Embroidery are Ideal Additions to Your New Employee Uniforms
When it comes to selecting new employee uniforms for your team, many factors distinguish your brand and your employees as individual members of your team. With custom emblems and embroidery for your employee uniforms by Lord Baltimore, your employee uniforms… Read More
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When a customer walks into your restaurant, they will instantly notice several aspects of your business that will help to make a first impression of your establishment. From the cleanliness of your facilities to the friendliness of your staff, customers… Read More
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The upcoming new year is the perfect time to polish the image of your brand. From the look of your building to the design of your logo, January is an excellent month for making improvements for your business. One such… Read More
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High visibility uniforms are a crucial safety measure for many employees on the job. This particular type of uniform allows employees who are working on construction sites or busy roadways to be visible at night. Their eye-catching materials, such as… Read More
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There are several factors in your business that can contribute to the reputation of your restaurant. From the taste and freshness of the food to the decor and cleanliness of your facilities, what your customers see and experience during their… Read More


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Category list : People & architects
Stories with this category.
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Revisit: tea house and swimming pools, Leça da Palmeira, Portugal by Álvaro SizaSubscription
Designed by a young Álvaro Siza, the Boa Nova tea house and nearby swimming pools sustain an intimacy with the Atlantic by turning their back on land
Clorindo Testa (1923-2013)Subscription
Architect to the National Library of the Argentine Republic and the Bank of London in Buenos Aires, the fanciful Clorindo Testa is a mainstay of modern Argentine architecture
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A creative powerhouse, spirited breaker of rules and a vocal advocate of equality
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The empty lake
Episode 266–05.03.17
You can follow the project on→ https://telegram.me/oneshotaday
Today I've been to the Molveno Lake. Since this winter the dam is "opened" in order to empty the lake to clean it up. The landscape is amazing!
To take this picture I ruined my shoes and my pants badly. It was raining and the sand has transformed into mud.
But as usual, photography is a dirty thing.
That's it for today, hope you enjoyed! See you tomorrow!
Every day I post at least one photo from my life. Here's why.
Follow me on Instagram:


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Edited Transcript of CMCSA earnings conference call or presentation 25-Apr-19 12:30pm GMTThomson Reuters StreetEvents via Yahoo FinanceApr 25 22:13 PM
MSNBC also continues its impressive success leading CNN by more than 50% with the narrowest gap to Fox News in over 15 years in total viewership. These highlights throughout our ...
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Nature decreed that a woman had regular menstrual bleeding. They are part of a process that enables the birth of offspring. But conception is impossible without the participation of the male sex cell. And she is absent in the female body. So if the maturation of the egg is not complete without menstruation, maybe the formation of a sperm cell is accompanied by something similar? And menstruation are also men? Most of these questions will seem ridiculous. But not everything is simple.
Read in this article.
Features of the male body
Anatomical differences between boys and girls are obvious from birth. They become even more pronounced with age. It should immediately be said that in the male body there are no uterus, ovaries, vagina. Consequently, bleeding associated with the genital sphere, they normally can not be.
But there are organs that are absent in women. One of them is the prostate gland, called the second heart of a man. It is also called the small uterus. There is some truth in the title, because the prostate has a plot that is really similar in its structure to a female organ. But most importantly, it produces prostaglandins, which inevitably affect the male body.
Since there is no uterus, its appendages are also absent, which in women affect the cyclical nature of the processes occurring in the sexual sphere. But in men there are testicles in which spermatozoa ripen and testosterone is produced. This hormone is also a defining difference in their physiology.
When they first appear
As they grow up, boys notice not only external changes:
- Vegetation on the body;
- Lowering the tone of voice;
- Increased greasiness of the skin and hair.
Emotional and physiological interest in the opposite sex also increases. And this is a pure hormonal phenomenon. This means that the process that could lead to the conception of a new person has been launched. And the boys' periods also begin to manifest themselves in a peculiar way:
- Irritability;
- Aggressiveness;
- Physical discomfort in the form of nausea, poor appetite, weakness;
- Inability to concentrate.
This period can last 3-4 days. Its signs resemble premenstrual syndrome in women.
By the way, the aging of men is also determined not only by external changes. They occur in the sexual sphere, are characterized by various kinds of violations of a neurological nature, a decrease in potency. That is, the probability of becoming a father, as well as motherhood in women, is gradually eroding. We can assume that menopause and men will not pass.
What happens in an adult's body?
The instability of the emotional state in boys, it would seem, can be attributed to growing pains. Their behavior is dictated by hormonal surges. And the men listed manifestations seem to be no, because all the processes occurring in the body are already subject to a certain logic. But he continues to regularly produce hormones, the number and ratio of which is not the same at different periods of life. Therefore, the answer to the question of whether men have critical days, affirmative.
It is not a matter of bleeding peculiar to women, only such symptoms are noticed:
- Blues;
- Decreased performance;
- Deterioration of health with nausea, abdominal pain;
- Drowsiness;
- Decreased libido.
It is these days that most family quarrels and conflicts at work occur with men, with traffic police officers and
But at the end of this difficult period, the man feels a surge of energy in all senses, feels renewed, and is surprised at his own recent emotions and actions.
How to survive the male critical days
A woman who does not doubt whether there are menstrual periods, is able to understand him like no other. Therefore, it can help. The best thing to do is to leave him alone, not to demand increased attention to himself, not to start new business. And remember that this does not last long and normally should be no more than once a month and a half. But if men's critical days are delayed, or his behavior goes beyond, it may be the result of hormonal disorders. This is already in the field of reference specialists.
With menstruation in men there are no such signs as in women. But the stronger sex can carry them harder, especially when they do not understand the nature of what is happening. Only knowledge of one's own physiology will help a man to control himself and his health.
It is believed that as men relate to menstruation in women, so they relate to the beautiful half.
As men relate to menstruation in women and girls. What are your monthly dreams? How menstruation manifests itself in men.
The question of how menstruation occurs depends on many factors. . Otherwise, the tampon may be the first man.
How menstruation manifests itself in men. Colostrum before menstruation, with them, after: why. How old do menstruation begin?
How do they go and what are monthly periods for infertility? . idiopathic infertility, in which, when fully examined, neither the man nor the woman has obvious causes.
Menstrual dermatosis or menstrual allergy: causes of occurrence and methods of control. Today it is difficult to find a person.
Previously asked:
Monthly men do not happen lol. Another reason to relieve. Even in women, "mood swings" do not often occur during menstruation and only because of them. Well, what a nonsense, seriously.
Similar articles
It is believed that as men relate to menstruation in women, so they relate to the beautiful half.
As men relate to menstruation in women and girls. What are your monthly dreams? How menstruation manifests itself in men.
The question of how menstruation occurs depends on many factors. . Otherwise, the tampon may be the first man.
How menstruation manifests itself in men. Colostrum before menstruation, with them, after: why. How old do menstruation begin?


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Aytac Ilhan, Ph.D.
|Princeton University, Princeton, NJ
Area:Operations Research, Mathematics, Finance
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|Ilhan A, Jonsson M, Sircar R. (2009) Optimal static-dynamic hedges for exotic options under convex risk measures Stochastic Processes and Their Applications. 119: 3608-3632
|Ilhan A, Jonsson M, Sircar R. (2008) Portfolio optimization Indifference Pricing: Theory and Applications. 183-210
|Ilhan A, Sircar R. (2006) Optimal static-dynamic hedges for barrier options Mathematical Finance. 16: 359-385
|Ilhan A, Jonsson M, Sircar R. (2004) Singular perturbations for boundary value problems arising from exotic options Siam Journal On Applied Mathematics. 64: 1268-1293


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If I could say anything that would help you make a decision it is this: this is a stylish sexy machine that brews the perfect cup of coffee every single time! Cleaning is simple! The machine is QUIET! I would not trade this for a brand new installed Miele, well maybe if they swapped me even I would, but I've had many cups out of their machines and in all honesty the Jura is better! Don't be afraid of the refurbished machines! Buy this machine and enjoy it as much as my wife and I have ours! I hope this helped someone make a decision! If you are anything like my wife and I, the coffee machine is much more than an appliance! It's is a member of the family and in this family we take our coffee very seriously! We love each other and we love our Jura!!!
Although the low RPM motor is a fantastic feature of this Capresso grinder, it may struggle with darker, oilier beans on the finest grind settings. The mechanical timer is also not as precise as one would wish, as the machine begins grinding the moment you turn the dial. As a result, grind quantities are fairly inconsistent. Another notable disadvantage is the fact that the 565's bean hopper is not entirely airtight, making it unsuitable for storing coffee beans for more than a few days at a time. Finally, due to the design of its grind chute and a recurring problem with static cling, this grinder can get fairly messy.
You can also make milky or foamed coffees, thanks to a tube that can be placed in a milk jug (or Panasonic's own optional "Milktank" accessory). Or just have the machine squirt out hot water for tea-making. You can also tweak the amount of coffee, water and milk, and the temperature before a drink is made, and save up to four of these combinations on the machine as personal favourites.
Milk Frother. Fitted with two exchangeable spouts, this unit provides a choice between two options. One option is like a professional grade spout that allows the user to froth the milk manually. The other is for those who are less interested in the intricacies of froth, providing a pre-set option for either cappuccino (more foam) or latte (less foam).
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Turn, press, enjoy – that's how easy it is to enter the world of IMPRESSA C65 With the one-switch operating concept of the Rotary Switch and the 11-language plain text display, it's easy to create the perfect coffee every time. Thanks to the high-performance conical grinder, the beans are always freshly ground. The simple, compact design with its elegant combination of matte and gloss black gives the IMPRESSA C65 an imposing yet understated look in any surroundings.
The Micro 1 in many ways is the Micro 9's little brother. This simple, ultra compact Jura machine features a sleek black design that is both minimal and modern. With the Micro 1, Jura set out to make their smallest unit without sacrificing the power and quality they are known for. And after out tests with a demo unit, we can safely say that they succeeded.
The large water tank and grounds container allow you to produce large quantities of coffee at a time, making this system ideal for office settings or large gatherings. Two thermo-block heating systems ensure temperature control, while a precision burr grinder with 6 settings allows you ultimate control over your the coarseness of your coffee grounds.
4) The coffee and espresso are great. I've learned to make a latte just like Starbuck's and I haven't been back since. Some people complain that the frother doesn't work well, but here's the trick: first, you should use non-fat or low-fat milk. For some reason, lower fat milk froths better every time; second, be sure to clean the frothing nozzle after each use. Kind of a no-brainer, I know. Third, there are two settings on the frother, and you can change the setting by sliding the sleeve on the frothing tip up or down. Experiment with this and you will get the perfect froth, really.
Turn, press, enjoy – that's how easy it is to enter the world of IMPRESSA C65 With the one-switch operating concept of the Rotary Switch and the 11-language plain text display, it's easy to create the perfect coffee every time. Thanks to the high-performance conical grinder, the beans are always freshly ground. The simple, compact design with its elegant combination of matte and gloss black gives the IMPRESSA C65 an imposing yet understated look in any surroundings.


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There's a lot to learn when it comes to the internet marketing field in general, and the digital ether of the web is a crowded space filled with one know-it-all after another that wants to sell you the dream. However, what many people fail to do at the start, and something that Sharpe learned along the way, is to actually understand what's going on out there in the digital world and how businesses and e-commerce works in general, before diving in headfirst.
Organic SEO's flip-side offers up a paid method for marketing on search engines like Google. SEM provides an avenue for displaying ads through networks such as Google's Adwords and other paid search platforms that exist across the web throughout social media sites like Facebook, Instagram and even video sites like YouTube, which, invariably, is the world's second largest search engine.
As of October 2018 almost 4.2 billion people were active internet users and 3.4 billion were social media users (Statista). China, India and the United States rank ahead all other countries in terms of internet users. This gives a marketer an unprecedented number of customers to reach with product and service offerings, available 24 hours a day, seven days a week. The interactive nature of the internet facilitates immediate communication between businesses and consumers, allowing businesses to respond quickly to the needs of consumers and changes in the marketplace.
As consumers spend more time using the internet and less time with other channels – advertisers are also forced to follow this trend. The ads have to be there where the eyeballs are. Unfortunately, digital marketing is not as simple and straight forward as traditional marketing. Digital marketing is best done in-house and cannot be outsourced to a digital marketing agency for various practical reasons. This is the reason that digital marketing experts are sought after all over the world right now and the demand for such candidates will only go up in the future.
If you're serious about finding your voice and discovering the secrets to success in business, one of the best people to follow is Gary Vanyerchuck, CEO of Vayner Media, and early-stage invest in Twitter, Uber and Facebook, has arbitraged his way into the most popular social media platforms and built up massive followings and often spills out the secrets to success in a highly motivating and inspiring way.
PPC advertising is a method of advertising on search engines like Google and Bing. As mentioned earlier, with PPC ads, you pay each time that ad is clicked on. PPC ads also exist on social media platforms like Instagram and Facebook as well. However, if you're going to engage in PPC advertising, it's important that you determine conversion rates by using tracking pixels.
Your customers, prospects, and partners are the lifeblood of of your business. You need to build your marketing strategy around them. Step 1 of marketing is understanding what your customers want, which can be challenging when you're dealing with such a diverse audience. This chapter will walk you through (1) the process of building personal connections at scale and (2) crafting customer value propositions that funnel back to ROI for your company.
SEO is optimization process to ensure your website is searchable – for the select key words. Some keywords may be highly competitive, and getting them to top of search results can be herculean task, if not impossible. Some KWs may not be that competitive, but their usefulness might be limited. Hence enough research is the first & most important step to find right keywords that helps in taffic to your website, while optimizing efforts, for doing SEO.
Private corporations use Internet marketing techniques to reach new customers by providing easy-to-access information about their products. The most important element is a website that informs the audience about the company and its products, but many corporations also integrate interactive elements like social networking sites and email newsletters.
Disney initially stated they wouldn't exceed one million in donations, but ended up donating two million after the campaign blew up. #ShareYourEars campaign garnered 420 million social media impressions, and increased Make-A-Wish's social media reach by 330%. The campaign is a powerful example of using an internet marketing strategy for a good cause. #ShareYourEars raised brand awareness, cultivated a connected online community, and positively affected Disney's brand image.
The first component of Google's trust has to do with age. Age is more than a number. But it's not just the age when you first registered your website. The indexed age has to do with two factors: i) the date that Google originally found your website, and; ii) what happened between the time that Google found your website and the present moment in time.
We will share what we do every day and we will set the goals how many posts we have to create on the website and on social media. So get ready to make your own brand and for the insane learning. I am here to help you. Ask me anything without hesitation and I will give your answers and try to solve all your problems. In next article, we will set the goals what you have to do in a week and weekdays
There are a number of ways brands can use digital marketing to benefit their marketing efforts. The use of digital marketing in the digital era not only allows for brands to market their products and services, but also allows for online customer support through 24/7 services to make customers feel supported and valued. The use of social media interaction allows brands to receive both positive and negative feedback from their customers as well as determining what media platforms work well for them. As such, digital marketing has become an increased advantage for brands and businesses. It is now common for consumers to post feedback online through social media sources, blogs and websites on their experience with a product or brand.[25] It has become increasingly popular for businesses to use and encourage these conversations through their social media channels to have direct contact with the customers and manage the feedback they receive appropriately.
For example, what are the quality and quantity of the links that have been created over time? Are they natural and organic links stemming from relevant and high quality content, or are they spammy links, unnatural links or coming from bad link neighborhoods? Are all the links coming from the same few websites over time or is there a healthy amount of global IP diversification in the links?
Internet marketing is the job of creating a convincing message that attracts customers to an online product. Successful online marketers come from a variety of backgrounds, including business, graphic design, writing and IT fields. You can find resources on the web to learn more about Internet marketing. Try taking on a small initial project and add the results to your personal work portfolio. Use the portfolio to interview for jobs in the field, or to find work as a freelancer.


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Weston Chain Gang is a group of cyclists that ride from Weston-super-Mare.
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text:
The first pattern is x4+y4 = z2, and if this has no solution, then neither does x4+y4 = z4. In other words, we are proving Fermat's last theorem for n = 4. Two fourth powers cannot sum to a fourth power.
We need to consider all these patterns in one go. This is the nature of the proof. The reasoning goes something like this.
If pattern 1 has a solution then there is a smaller triple that satisfies pattern 2. And if pattern 2 has a solution then there is a smaller triple that satisfies pattern 1. Thus every solution implies a smaller solution of the same type, and since positive integers cannot descend forever, there is no solution.
This approach is called the "method of infinite descent", and it is a consequence of induction. If there is a solution there is a least solution, and yet there is always a smaller one, which is a contradiction.
What makes one triple smaller than another? This can be a bit unclear, especially when the triples fit different patterns. The answer is the value of the right hand side. (If the right side is z2, the value is z2, not z.) If one triple has a lesser "value" than another, then it is smaller.
Whenever the coprime lemma applies, we automatically assume coprime variables. After all, this can only make the right side smaller.
x2 ← u2 - v2
y2 ← 2uv
z ← u2 + v2
Since 2uv is a square, and u and v are coprime, u and v are s2 and 2t2. Therefore x2 becomes s4-4t4 or 4t4-s4. Rewrite this as x2+4t4 = s4 or x2+s4 = 4t4. These are patterns (1) and (2) below.
Each time we defer to another pattern, you should verify that the right side has become smaller. In this case the right side is u2 or v2. Either of these is smaller than z, which is smaller than z2, so we're ok.
(½x)2 + (½y2)2 = (z2)2
Remember that ½x is odd, and so is z2. Characterize the triple as follows.
½x ← u2 - v2
½y2 ← 2uv
z2 ← u2 + v2
With u and v coprime, the second equation shows u and v are squares. The third equation becomes s4+t4 = z2. With z2 < 4z4, we have no trouble deferring to pattern (0).
x ← u2 - v2
2y2 ← 2uv
z2 ← u2 + v2
The second shows u and v are squares, and the third becomes s4+t4 = z2. With z2 < z4, we defer to pattern (0).
Let either x or z be even, whence the other is also even. If y is even, divide x by 4 and y and z by 2 to find a smaller solution. Thus y is odd. This means x = 2 mod 4, else y would be even. Divide through by 4 to get this.
(½x)2 + (y2)2 = (½z2)2
The sum of two odd squares is an even square, and a mod 4 argument shows this is impossible.
Patterns (0), (1), and (2) all fail together, and as a corollary, the sum of fourth powers is never a fourth power. If that's all you needed to know, you can skip the rest of this page, but if you're interested, there are many more patterns with no solutions. Some of these act as lemmas for future theorems.
If y is odd, characterize the triple as y2 = u2 - v2 and z2 = u2 + v2. Multiply these together to show u4 - v4 = (yz)2, pattern (3). Note that y < z, hence y2z2 < z4.
x2 ← u2 - v2
2y2 ← 2uv
z ← u2 + v2
Thus u and v are squares, and x2 = s4-t4, pattern (3).
Let x and z be even. If z is divisible by 4 we can divide through and find a smaller solution, so let z = 2 mod 4. This makes y odd. Divide through by 4 and characterize as follows.
y2 ← u2 - v2
½x2 = 2uv
½z = u2 + v2
This implies y2 = s4-t4, pattern (3).
x2 ← ±(u2 - 2v2)
y ← 2uv
z2 ← u2 + 2v2
Multiply the first and third equations together. Now (xz)2 is the difference between a fourth power and 4 times a fourth power, patterns (1) and (2).
±x2 ← u2 - 2uv - v2
y2 ← u2 + 2uv - v2
z ← u2 + v2
Multiply the first two equations together and the left side becomes ±(xy)2. Add 8u2v2 two both sides and the right side becomes (u2+v2)2. This produces the following two equations.
(xy)2 + 8u2v2 = (u2+v2)2
(xy)2 + (u2+v2)2 = 8u2v2
The second equation is impossible mod 4, so concentrate on the first. Write 2st = 2uv, and s2+2t2 = u2+v2.
In this characterization, v might be 0, but u cannot be. thus we can replace v with st/u.
s2+2t2 = u2 + s2t2/u2
(u2)2 - (s2+2t2)u2 + s2t2 = 0
Apply the quadratic formula. The discriminant is s4+4t4, which must be a square. This never happens, thanks to pattern (4). Of course s or t could be 0; pattern (4) doesn't preclude that. Thus v = 0, and the unique coprime solution emerges: 14 + 14 = 2×12.
after characterizing the triple, we find u2+v2 = 3z2. This is impossible.
If 3 does not divide x and y, there is no solution, thanks to pattern (7), so let 3 divide x and y.
If 3 divides z we can divide through and find a smaller solution, so 3 does not divide z, and x = 3 or 6 mod 9. Let y be even and characterize the triple as follows.
x/3 ← u2 - v2
y2/3 ← 2uv
z2 ← u2 + v2
Remember that u and v are coprime, and look at 6uv = y2. Thus u and v are 6s2 and t2, or 3s2 and 2t2. Substitute in the third equation.
36s4 + t4 = z2
9s4 + 4t4 = z2
Since z2 is less than 9z4, we defer to patterns (10) and (11).
Next let y be odd and find the following characterization.
y2/3 ← u2 - v2
x/3 ← 2uv
z2 ← u2 + v2
Use the last equation to assign s2-t2 and 2st to u and v. Then substitute in the first equation.
±y2/3 = s4 - 6s2t2 + t4
The left side can be viewed as ±3 times a square. Look at this equation mod 8. Exactly one of s and t is even, hence two of the three terms on the right drop to 0. Now a fourth power is ±3 times a square. This is impossible mod 8, so we're done.
Suppose x is divisible by 3. It must be 3 or 6 mod 9, and 3 does not divide y. Derive the following equation, and note that it is impossible mod 3.
(x/3)2 + y4 = (z2/3)2
Thus the terms are pairwise coprime. There are two different characterizations, depending on whether y is even or odd. In each case z2 = u2+v2.
Let y be odd, whence u2-v2 = 3y2. Multiply this by the equation for z2 and find 3(yz)2 = u4-v4. Since u2 < z2, u4 < z4, and we defer to pattern (9).
If y is even then 2uv = 3y2. Thus u and v are 6s2 and t2, or 3s2 and 2t2. Substitute these expressions to set z2 equal to 36s4 + t4 or 4s4 + 9t4. These are patterns (10) and (11) respectively.
Let x be even, and z odd, and refer to the characterization of such triples.
±y2 ← u2 - 3v2
x ← 2uv
z2 ← u2 + 3v2
Multiply the first and third together to show (yz)2 is the difference between a fourth power and 9 times a fourth power. These are patterns (7a) and (8).
Next let z be even, whence x and y are odd. In this case the characterization gives z2/2 = u2+3v2. Since z2/2 is even, u and v have the same parity. This contradicts the characterization, i.e. it makes x and y even as well.
Let 2 divide x and z, while 3 does not. For a minimal solution, z = 2 mod 4, and y is odd. Divide through by 4 and characterize.
3y2 ← u2 - v2
x2/2 = 2uv
z/2 = u2 + v2
The second equation shows u and v are squares, and the first equation sets 3 times a square equal to the difference between fourth powers, which is pattern (9).
Next let 3 divide x and z while 2 does not. For a minimal solution, z is not divisible by 9, and y is not divisible by 3. Divide through by 9 and characterize.
x2/3 ← u2 - v2
2y2 ← 2uv
z/3 ← u2+v2
Once again u and v are squares, and the first equation leads to pattern (9).
Finally let 6 divide x and z, but not y, so that we may have a minimal solution.
y2 ← u2 - v2
x2/6 ← 2uv
z/6 ← u2 + v2
This time u and v are a square and 3 times a square, and the first equation sets x2 to the difference between a fourth power and 9 times a fourth power, patterns (7a) and (8).
Let 2 divide y, while 3 does not divide x. Thus 3y2/2 = 2uv, and x2 = u2-v2. The first equation makes u and v a square and 3 times a square, and the second produces patterns (7a) and (8).
Let 3 divide x, while 2 does not divide y. Thus 2x2/3 = 2uv, and y2 = u2-v2. The first equation makes u and v a square and 3 times a square, and the second produces patterns (7a) and (8).
finally 3 divides x and 2 divides y. Divide through by 36 for a coprime triple. Thus y2/2 = 2uv, and x2/3 = u2-v2. With u and v squares, the second equation leads to pattern (9).
This completes the circle; all patterns up to this point have no solution, save the one solution for pattern (6). But there are more patterns to consider.
If z is even then z2 is divisible by 4, which is impossible, since the characterization of z2/2 is an odd number.
x4/4 + 3y4 = z2/4
Thus z and x are odd. Characterize this triple and write 2y2 = 2uv, and x2 = u2-3v2. Substitute squares into the second equation to get x2 = ±(s4-3t4). This either sets a sum of squares equal to 3 times a square, which is impossible mod 4, or it creates pattern (12).
Divide through by 4, and only the second term remains even. Characterize, and write y2/2 = 2uv, and x2 = u2-3v2. Once again x2 is the difference between a fourth power and 3 times a fourth power. As we saw in the last pattern, this is impossible, or it creates pattern (12).
The following equation is equivalent.
(z+x4) × (z-x4) = 243y8.
If 3 divides both factors it divides x, and we ruled that out. Thus 243 belongs to one of the two factors alone.
Let y be odd, whence one factor is an eighth power, and the other is 243 times an eighth power. Subtract the two equations to get ±2x4 = u8-243v8. Reduce this mod 17. Both u and v cannot drop to 0, as they are coprime. An eighth power is 0 1 or -1. In addition to these, a fourth power could be ±4. If u or v is 0 the right side is ±1 or ±5, while the left side is 0, ±2, or ±8. This cannot be reconciled, so both u and v are nonzero. The right side becomes ±4 or ±6. The left side is still 0, ±2, or ±8. We are forced to conclude that y is even.
±x4 ← u2 - 3v2
9y4 = 2uv
z = u2+3v2
To avoid squares summing to thrice a square, the first equation produces +x4. Thus x4+3v2 = u2.
U and v are fourth powers, with coefficients of 8 and 9. If 3 divides u it divides x, hence 9 belongs to v. That leaves two possibilities.
Set u = s4 and v = 72t4, giving x4 + 15552t8 = s8. Thisis pattern (13).
Setting u = 8s4 and v = 9t4 leads to the following.
x4 + 243t8 = 64s8
This is impossible mod 8, unless x and t are even. With 64 on the right, x must be divisible by 4. This makes s even, and we can divide through for a smaller solution.
16x8 + 243y8 = z2
This is impossible mod 4, hence x and z are odd.
If 3 divides x and z then 27 divides z, and 3 divides y, and 81 divides z. We could divide z by 81 and x and y by 3 to find something smaller. Therefore, all terms are coprime.
±x4 ← u2 - 3v2
36y4 ← 2uv
z ← u2+3v2
This time u and v are fourth powers with coefficients of 2 and 9. If 3 divides u it divides x, hence 9 belongs to v.
Set u = s4 and v = 18t4, giving x4 + 972t8 = s8. This is pattern (13).
Set u = 2s4 and v = 9t4 and derive x4 + 243t8 = 4s8. This is pattern (18).
If x and z are divisible by 3, we can make x divisible by 9 and find a smaller solution, as we have done before. Thus the terms are coprime.
The following equation is equivalent.
(2z4+x2) × (2z4-x2) = 243y8.
With x and z nonzero mod 3, 243 divides the first factor. Othere than this, both factors are eighth powers.
Add the equations together to get this.
4z4 = u8+243v8
With 4z4 < 4z8, this is pattern (15).


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Interview Recording of Elvis Presley and His Parents. A reel-to-reel tape recording of a 1956 radio interview featuring Elvi...Click the image to load the highest resolution version.
DescriptionInterview Recording of Elvis Presley and His Parents. A reel-to-reel tape recording of a 1956 radio interview featuring Elvis Presley, his parents Vernon and Gladys, and actor and friend Nick Adams, recorded at WELO in Tupelo, Mississippi. The reel was sent to Elvis, who later gave it to Vernon and with whom it remained until passed on to a family friend after his death. The tape was professionally transferred to the included cassette to preserve it, and this are the only known copies in existence. Also included are two letters dated November 30, 1960, and January 11, 1961, sent to Elvis by the station in regards to the tape. In overall Very Fine condition. From the Sandy Miller Collection.
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Articles by Maja Škrbec
Identifying and Fostering Higher Levels of Geometric Thinking
EURASIA J. Math., Sci Tech. Ed 2015;11(3):601–617
Understanding the Concepts in Probability of Pre-School and Early School Children
EURASIA J. Math., Sci Tech. Ed 2011;7(4):263–279
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All the letters were amazing. We may be free moral agents with the freedom to make moral decisions, but that doesn't mean we can choose what actually is right or wrong; that just means we're capable of choosing to be right or wrong. This includes our culture, our history, and our families. Jesus knew who he was. Have you ever wondered what exactly makes you who you are? Did you enjoy law school? It is an inside-out job.
That is who I am right now but to truly understand me I have to talk about my past and things that helped shape who I am. I woke up just the other day wondering where the last ten years had gone. Just one entertaining episode after another. I do commercial lines defense work right now for the last three years in house and really enjoy it. But I wanted to do better and be better then what I grew up around, going through these experiences as a little kid I learned a lot, I learned no matter what always take care of you family always be there for a help and hand, because family is all you have, and having support from the ones that love you is one of the best feelings in the world. The African sun has those qual- ities, for sure.
They have started construction, and it is impossible to say when or if it will ever be completed. We often think that being the center of attention would be fantastic, like being a famous actor or athlete. I look back and think, college graduation…check, getting married…. So, we fill the void with anything we can find. As a little kid I always wondered how would life play out for me thoughts of will I make to college one day, are will I even make it to be gray and old it always was a thought in my head. Most of us acquire knowledge at the school of life, which is different for everyone in particular, but at the same time it teaches all people some important lessons they need to learn. Another aspect of who I am is the hobbies that I enjoy doing.
Prince is of African descent but grew up in France and French Guiana, and he uses the device of a palm tree talking to a baobab tree to represent the tensions in his multicultural identity. I had my high school career path down pack. This extortion keeps the Sicilian people relatively poor among the Italian regions. This section should be limited to one paragraph only. As a grad student, you about break even. No pursuit in life is more valuable than the pursuit of your identity and purpose.
Teenagers may think and act alike. Will God ever hold us accountable for our moral decisions? I really did learned a lot from schools especially during my college years. Oh my gosh, Karen, your life is my life! It is because of this that I am often wrongly labeled as being standoffish or antisocial. Now I look back and think, the loss of a loved one…check, divorce…check, single father…check, a better man? You may essay where am going i have to work on an assigned essay for class, enter. I am a person, in physical existence. He gets mad at me. Where Do We Go Now? It is separated from Reggio Calabria by the Strait of Messina.
I still have my creativity that I stole back at the last minute during my senior year, yet I have the sensibility of an adult who has to juggle, I know adults who have far less responsibility than I. My friends usually consider my the goofy outgoing one. Everyday people, like myself, are scrolling through Instagram, Twitter, Facebook, and many others and all see what they consider the perfect people. The story of the Temptations does not invite us to worry about how we might resist the tempter but to celebrate that Jesus has and maybe in it God also invites us not to worry so much about who we are and where are going and how we are going to get there, but to trust in God who made us, who loves us and who has a future for us! Some blank spots still yet to be drawn out; no real meaning to it yet. Therefore, there is continuity in the changes as I may endure them typically as they occur slowly and progressively.
Words: 537 - Pages: 3. Either way, you are the man she will always write. Aaron, email on the way. I have… Words 344 - Pages 2 Who Am I I am a mother who is curious, classy, and witty. Our culture influences, to an extent, everything in our lives, from how we are schooled, the morals we are taught and other influences on our lives such as sports we play, and music we listen to. So, what is your identity? And, I could answer as truthfully and thoroughly as I possibly could today, but by tomorrow, that answer could be totally different. With dogma and creed excluded, then immutable truth is also dead and buried.
After that, I took a year off from school. Get custom essay on any topic by advanced writers in up to 8 hours! I am unique as well. People betray one another, plot and scheme, fight, and tear down, but nothing ever happens. In the absence of living meaningfully, you will fill the void with meaningless activity. If you're valuable to Him, that's ultimately what you're worth. I am a daughter, friend, volunteer, granddaughter and a niece. You have a unique purpose.


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Help Elsa take very good care of the pony that she has and then get them both properly groomed to look good. Elsa will be going out for a ride on her attractive looking pony.
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The myth that chicken is more healthful than meat comes from the fact that meat contains a little more saturated fats than chicken does, but four ounces of each contain the same 100 mg of cholesterol.
A study in the Archives of Internal Medicine showed that people who eat meat twice a day for a month do not change their blood cholesterol levels when they switch to eating chicken twice a day. Grilling chicken forms 15 times as much cancer-causing heterocyclic amines as grilled meat does. Both are dense sources of calories so you should limit meat and chicken when you are trying to lose weight. Neither contains fiber that prevents constipation and helps to lower cholesterol. You do not need to eat either meat and chicken to meet your needs for protein because you can get all the protein you need from whole grains and beans.
Archives of Internal Medicine July, 1999
Checked 5/3/07
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Avengers: Endgame
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text: SAAND LA Los Angeles based Michael Sandler's accomplishments span across a variety of genres and pseudonyms. As SAAND, his melancholic audio tales are no doubt intended to motivate a floor over the course of an evening. The sulky textures that flow through SAAND's palette add depth while simultaneously controlling the intensity of the music. SAAND consistently demonstrates control over the pace of his music and this skill will allow any melancholic shade of house music to flourish with enthusiasm. SAAND's ability has amassed a punchy resume of performances that cover some lustrous festivals including Lightning in a Bottle, Woogie Weekend, and Mexico's BPM among others. His releases are found riddled across affluent labels that are also pushing the envelope in their own way. Favorites including Dilate, Motek, Union Jack, and Sol Selectas can all be found highlighting SAAND's work. In addition to having some of the world's biggest DJ's play and feature his music, SAAND has worked with cutting edge artists such as Till Von Sein, Tigerskin, Pezzner, KMLN, Dance Spirit, Powel, Balcazar & Sordo, HearthuG, Jonny Cruz, Andre Salmon, David Scuba, Raw District, Namito, Kosmas, Derek Marin, Ashley Wild, and Clayton Steele just to name a few. Named Beatport's 'Breakthrough Artist of 2015' SAAND is ready to express himself further through his music. Outside of SAAND's musical prowess, his contribution to the southern California based music publication Music is 4 Lovers shouldn't be short changed. As the Director and Senior Editor, Michael regularly exhibits years of music knowledge to the outlet which has helped advance its reach far beyond its California walls. Music Is 4 Lovers has distinguished itself as a prominent independent music publication and Michael's influence is clear. Frankly, this is a great example of what makes an artist and a taste maker. Tracks and playlists liked by SAAND SAAND - In Dub by Tierra Sounds published on 2019-04-19T18:48:02Z SAAND - I Man Dub (Original Mix) by Tierra Sounds published on 2019-04-19T18:47:04Z SAAND - Selassie Dub (Original Mix) by Tierra Sounds published on 2019-04-19T18:44:51Z SAAND - Big City Dub (Original Mix) by Tierra Sounds published on 2019-04-19T18:43:29Z SAAND - Augustus Dub (Original Mix) by Tierra Sounds published on 2019-04-19T18:41:47Z SAAND - Pink Mammoth - Burning Man 2018 by Pink Mammoth published on 2019-03-06T19:57:35Z


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Docooler 3.5mm RCA Audio Video Cable 3.5mm Jack to 3 RCA Male AV Wire Cord
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Docooler 1.2 Meter Audio Extension Cable
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Docooler 1.5 Meter RCA Audio Cable 3.5mm Male to 2 RCA Male Audio Cable
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The following is an excerpt from our recently published high school e-book, Lands of Hope and Promise: A History of North America.
Like other Jesuit missionaries who would come after him, Père Jean de Brébeuf not only worked among the Indians but shared their way of life, including living in a wigwam both in summer and in the dead of winter. When spring succeeded one harsh winter, he and another Jesuit, Père de Noue, traveled by canoe with a band of Huron Indians to the Georgian Bay on Lake Huron, where for two years Père Brébeuf labored among the Huron, but met with no success. In 1629, when Québec surrendered to the English, Brébeuf had to return to France.
|Jean de Brébeuf
That same year, 1647, war broke out between the Iroquois and the Huron, and two missionaries, trying to reach the Huron country, were captured. One of the missionaries, the Jesuit Isaac Jogues, had penetrated as far as Sault Ste. Marie, the outlet to Lake Superior (the northernmost of the Great Lakes). He had hoped to work among the Indians of the region and to carry the Gospel to the Sioux who lived at the headwaters of the Mississippi River. Instead, another task, and a greater glory, awaited him.
|Isacc Jogues
But Père Jogues was not one to flee danger. Instead of remaining in France, he returned, in 1644, to Canada and asked to be sent as a missionary to his former captors, the Mohawk. This was not a particularly good time for a French missionary to enter Mohawk lands. Sickness had broken out among the Iroquois, and blight had struck their crops. The Indians blamed their troubles on Jogues, whom they called a sorcerer. Although knowing full well the danger that awaited him among the Mohawks, Jogues did not turn back. Abandoned by the Huron men that had accompanied him and with only one companion, Jogues met the Iroquois. They captured him, stripped him naked, and slashed him with their knives. Finally, on October 18, 1646, the Indians felled the priest with a tomahawk stroke and cut off his head. They fixed the head on a pole and threw his body into the Mohawk River.
Père Brébeuf, meanwhile, had been working among the Huron. Though in 1642 the Iroquois made peace with the French, their war with the Huron continued. The Iroquois attacked not only Huron settlements but burned the Huron missions and slaughtered the missionaries. On March 16, 1649, they captured Jean de Brébeuf.
Père Brébeuf did not utter a groan during the tortures that followed. After beating him with clubs, the Indians tied him to posts. Kindling a fire at the missionary's feet, they slashed his body with their knives and, in mockery of baptism, poured scalding hot water over his head. Around his neck they tied a collar of red-hot tomahawk heads and thrust a hot iron rod down his throat. When Jean de Brébeuf at length expired, the Indians cut out his heart and ate it, for they wanted to partake of his courage.
Brébeuf and Jogues were not the only martyrs of this period. Among those killed by the Iroquois were Père Jean Lalende, in what is now New York, in 1646; Père Antoine Daniel in Canada, in 1648; and Brébeuf's companion, Père Gabriel Lalement in Canada, in 1649. With Brébeuf and Jogues, the Church honors these men as saints, under the title, the North American Martyrs.
Additional Resources:
Additional Resources:
St. Isaac and the Indians by Milton Lomask
Saints of the American Wilderness by John A. O'Brien
Saint Among the Savages: The Life of St. Isaac Jogues by Francis Talbot, S.J.
Saint Among the Hurons: The Life of Jean de Brebeuf by Francis, Talbot, S.J.
The Jesuits in North America in the Seventeenth Century by Francis Parkman
Jean de Brebeuf by Joseph P. Donnelly (out-of-print, check library)


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Shiloh Vase
This incredibly unique vase comes from inspirations in industrial design likely to have origins in the brilliant models of machinery in the early 20th century. Though the gunmetal glaze gives it this signature industrial look the contrasting fins and dual-tapered shape add to its style. The fins feature a ivory crackled glaze which has a slight mint tone due to the natural reaction in collaboration with the gunmetal finish. Finish may vary
Dimensions: H: 10″ × 10″ Dia
Product Specifications
- Dimensions
- Height: 10 Diameter: 10
- Material
- Ceramic, Natural Material
- Lead Time
- 0-3 Weeks


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- HD Server
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Kung Fu Traveler
Aliens have invaded and overtaken the Earth. Trying to escape defeat, a Chinese General (Tiger Hu Chen) is sent back in time trying to devise a way to defeat the alien invaders.
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Genre: Action, Science Fiction
Director: Zhang Xianfeng
Actors: Darren Grosvenor, Svitlana Zavialova, Tiger Hu Chen, Wang Zhi, Ye Yunfei
Duration: 100
Release: 2017
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