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Make Time for Date Night

I met some mom friends recently for coffee and I asked them about ‘date night’. Based on their facial expressions, I could tell that I had touched on a sensitive topic.

Each started sharing their date night woes:
“We can never find a sitter on a Saturday night.”
“There are no good movies out right now.”
“I can’t stay up that late.”
“It is just way too expensive.”
And, of course, “There is nothing fun to do in this town.”

I totally channeled my inner Cher and let out an intense “As if !” (Yes, I was a huge “Clueless” fan back in the day.) There is SO much to do in Toledo for a date night or even a date day – getting together with your significant other doesn’t have to be at night. It doesn’t have to be on a Saturday. And it doesn’t have to cost a lot. Let’s start thinking outside the dinner-and-a-movie date night box, trying things outside our comfort zones. Trying new things together not only helps to add a thrill to the date but can also rekindle that spark!

To encourage out-of-the-box thinking, here is a list of places to go and things to do for your next date.

Heat things up at Gathered Glassblowing Studio

What better way to enjoy your date in the Glass City than by making your own awesome creations out of glass? Sign up for a public workshop today, no experience is necessary. Step-by-step instructions are provided and you get to take home an awesome glass masterpiece!

Also, on the 3rd Thursday of every month, the studio has Hot Glass, Cold Beer, and Cool Music Night, in conjunction with the 3rd Thursday Art Loop.

$40+ | 23 N. Huron St.
419-262-5501 |

Find Cupid’s Arrow at AJ Archery

Channel your inner Merida (from “Brave”) at AJ Archery Range. Learn safety & range rules, basic shooting instruction, and target shooting from Coach AJ Berning-Matell, a certified USA Archery Level 3-NTS coach. Date night sessions are two hours and cost $30 per couple. Call to set up your date night today!

$30| 425 Jefferson Ave. | 2nd floor
419-474-1103 |

Rev your engines at Sportway

Who says the kids get to have all the fun? Brace yourself for a date night jammed pack full of fun! Start your engines with the go-karts, take three adrenaline-inducing laps around the course, then let your competitive side out a bit as you challenge your date to a round of miniature golf. Finally, end the date practicing your swings in the batting cage.

$20 | 5950 Angola Rd.
419-867-1006 |

Enjoy kayaking, biking, and more at Toledo Metroparks

This is the perfect outdoor date on a dime! Get outside together and enjoy all the beauty around you at one of Toledo’s amazing Metroparks. There is a nice variety of things to do when you visit including, paddle boating ($5 at Pearson Park), fishing, hiking, biking, stand-up paddle boards, kayaking (Farnsworth Park $10-$25). And don’t forget to pack a romantic picnic.

Free |

Enjoy a relaxing, stress-free day on the river together. River Lures Kayaking takes care of everything, life jacket, paddle, and get this–if you bring your bicycle, staff members will transport it down to you after your kayak trip. They pick up the kayaks and then you and your love can pedal back up the beautiful towpath toward Grand Rapids and meet back at the store.

Kayaking: $10+ | At the Farnsworth Metropark
8505 S. River Rd. | Waterville
419-832-0989 |

Play detective on a Murder Mystery Dinner Train

This is a one-of-a-kind date night that is sure to be a memorable experience! Who did it? Enjoy fine dining while participating in a humorous table-side murder mystery, on a train! (Rated PG-13 of course)

$69+ | 301 E. Adrian St. | Blissfield, MI
1-888- 467-2451 |

Spread your wings at the Wheeler Butterfly House

Talk about romantic: you and your love can observe more than 1,000 butterflies fluttering around to classical music. The experience that might lower your cortisol levels and re-ignite that spark. Feel free to pack a picnic to enjoy on the grounds.

$9 | 11455 Obee Rd. | Whitehouse
419-877-2733 |

Discover new flavors with Cooking Classes at Dégagé Jazz Café

Calling all foodies! Chef Mike Lambert, native Toledoan, shares his farm-to-table passion with monthly cooking classes, seasonal menu, locally grown-and-sourced produce, meats, and dairy.

$55+ | 301 River Rd. | Maumee | 419-794-8205

Spend a romantic night away at Belamere Suites

Get a babysitter, bribe a friend, beg Grandma and Grandpa…. do whatever you need to do to enjoy a night away at this boutique hotel. Tripadvisor ranked Belamere Suites as one of the 10th Most Romantic Hotels in the United States, and we’re inclined to agree— jacuzzi suites, pools, wine baskets, luxurious accommodations, and plenty of rose petals make this stylish get-a-way the perfect place to relax.

Prices range | 12200 Williams Rd. | Perrysburg
419-874-2233 |


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Tuesday, September 02, 2008

"Why I Will Not Vote for John McCain"

For a much different perspective on the tribulations of being a Vietnam-era POW, read the Military.com piece by Dr. Philip Butler. He spent eight years at the Hanoi Hilton...

There but for the grace of an imaginary deity go I.

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Two New Releases from Karl Schmidt Verlag

Hi Droids, Earlier today we released the KSV debut of Paige Munnings ' Tabletop Hat project, Juxtapositions Powder , and the second ...

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Tolkien Gateway

Revision as of 15:10, 4 August 2011 by Hurin Thalion (Talk | contribs)
"Who told you, and who sent you?" — Gandalf
This article or section needs more/new/more-detailed sources to conform to a higher standard and to provide proof for claims made.
"...It is a long tale..." — Aragorn
This article or section needs expansion and/or modification. Please help the wiki by expanding it.
General information
LocationNorthwestern Beleriand
CapitalBarad Eithel

Hithlum (S, pron. [ˈhiθlum]) is the region north of Beleriand near the Helcaraxë.

Hithlum was separated from Beleriand proper by the Ered Wethrin mountain chain, and was named after the sea mists which formed there at times.

Hithlum was subdivided in Mithrim, where the High Kings of the Noldor had their halls, and Dor-lómin, which later became a fief of the House of Hador.

The Ered Wethrin ("Mountains of Shadow") formed the southern and western wall, and had only a few passes; as such they formed a natural defensive line. The eastern wall was formed by the Ered Lómin or "Echoing Mountains", which curved north-westward to Helcaraxë.

The land of Lammoth lay east of the Ered Wethrin and was not part of Beleriand or Hithlum, and the land of Nevrast was separated from Hithlum by the southern part of the Ered Lómin. Nevrast was usually seen as part of Hithlum, but its climate was that of Beleriand.

Hithlum was cold and rainy, but quite fertile. The Ñoldor landed here in the Firth of Drengist and first camped at the shores of Lake Mithrim.

Later in the First Age, Hithlum was continually under attack by Morgoth, finally being lost after the Nirnaeth Arnoediad. The Hadorians were scattered, killed, or enslaved, the Noldor were enslaved in Morgoth's mines if they could not flee in time, and Morgoth trapped the Easterlings there.

Hithlum was completely destroyed during the War of Wrath.

Hithlum is a North Sindarin word,[1] meaning "Mist-shadow" (hith + lum); its Quenya counterpart is Hisilómë (pron. [ˌhisiˈloːme], stem Hisilómi-).[source?] Its Sindarin name is said to be Hithlũ.[1]

Tolkien initially marked the word as Noldorin; its second element was cognate to Quenya lumbe.[2]

Helcaraxë Angband
Lammoth WindRose3.pngAnfauglith, Dorthonion
Nevrast Nargothrond Doriath

  1. 1.0 1.1 J.R.R. Tolkien, "Words, Phrases and Passages in Various Tongues in The Lord of the Rings", in Parma Eldalamberon XVII (edited by Christopher Gilson) p. 133
  2. J.R.R. Tolkien, Christopher Tolkien (ed.), The Lost Road and Other Writings, "Part Three: The Etymologies", entry LUM- p. 370


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Friday, March 28, 2008

Te Anau

Breathtaking Scenery

The Southern Alps in all their glory

Lake Te Anau

We were spending only two days in Queenstown so we decided to do a driving trip on our second day to maximize what we could see of the Southern Alps. This forfeited the chance to visit the Milford Sound (I know, what a bad travel agent I was) but, that is something we will just save for some future trip to New Zealand. A whole itinerary doing the west coast of the South Island would not be a bad idea. You could fly into Queenstown, and then visit Doubtful Sound, Milford Sound, Fox Glacier, Franz Josef, and possibly Mt. Cook. It would be a heck of a trip if you had good weather.

Te Anau is 170 kilometers south and west of Queenstown. The road goes next to Lake Wakapitu, which is the very large lake upon which Queenstown sits, providing wonderful vistas of the mountains. Upon leaving the lake it goes through several wonderful valleys that have immaculate farms raising cattle, tens of thousands of sheep and deer. The road fishhooks to the west and comes back north to Te Anau.

The community is at the foot of the lake of the same name which then goes north for probably 60 kilometers. North of Te Anau the road is the only highway into Milford Sound. We went as far as Te Anau Downs which is about half way up the lake. All the views along the lake are to the towering east side of the Southern Alps. At any location to or from Te Anau you have great vistas of high rocky mountains.

South of Te Anau we did a little loop on one of the designated scenic highways through Manapouri. It provides scenes across Lake Manapouri to the very high peaks surrounding Doubtful Sound and the Fiordlands National Park. If we had continued on the scenic highway, rather than cutting back to Queenstown, it would eventually have taken us to Invercargill at the very southern tip of the South Island.

To finish off the day on returning to Queenstown, we drove up to the small gold mining town of Arrowtown. When the gold ran out it has been converted into a crafts village somewhat similar to Winthrop, Washington.

Quirky Living Note: Anywhere you travel in New Zealand you see thousands of sheep, sometimes literally thousands in a single pasture. Mary Ann and I were talking during the drive today about how you would think with all this wool, that wool products would be inexpensive. In Ireland they are, so shouldn’t New Zealand also have bargains? They do have beautiful products, many of very high quality merino wool. But the prices are also very high. We have not seen a full wool sweater under $200 NZ.

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#1 Way to Burn Body fat

The #1 way to burn body fat is to choose to want to over all other things that catch your
focus and attention. We have a lot of stories and excuse and reasons as to why we can’t
reach our lean body fat goals. There is a lot of hoopla and scientific ways to lose body fat
and keep it off for good. That is not the problem and there is no #1 way that is better then
simply taking actions on the things that we already know.
We know celery is a better choice then donuts…
We know that exercise that makes us feel uncomfortable for a moment is a better choice then sedentary state…
We know that caring for ourselves instead of going to the ends of the earth to try to control another’s behavior and choices will get us the best fat loss results…

We have so many reasons that we think we can’t reach our fat loss goals that we are probably not aware of them all. The fastest way to become aware is to:
1. Document your self the next time that you are getting anxious or putting up a reason why you can’t do something.
2. Document your thoughts when you are in your bad mood, hiding away from life, and simply choosing to self- sabotage your efforts.
3. When a thought pops into your head or an overall feeling that who cares about my fat loss goals when life is so in disrepair. Take notice! Is it 100% true or is there another choice you CAN make?

The faster you become aware of your own power over choices. The faster you will discover that you have so many more choices then you thought. The faster you will burn body fat!!! Truth

About the Author
Andreya Tornes
Personal Trainer and Studio Owner

Life Fitness Top 10 Trainer to Watch 2014
Wife for over 20 years
Mom of 5 Boys

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Froe Mallet

Here is a photo of the Froe Mallet I made.

Even though I had not used one on a froe, the motive for the design is obvious. A rough surface will absorb some of the womp, so you want a smooth hard wood surface. But you are going to be pounding on a […]

Wax Mix

I am doing a bit of outdoor work and need a bit more of my wax mix, so I thought I would be kind and share the recipe and process.

The mix is very simple. Equal parts of Safflower Oil, Turpentine, and Paraffin.

For wax I am using a candle I bought cheap.

Improving a Scratch Awl

I have a tool that is almost perfect, that I use constantly. I will search for hours for it, I am so dependent on it- a little Japanese Socket Awl.

The big one in the picture above is one of the best made western style scratch awls. You can pound it, mark with it, […]

Toolmaking Resources VIII; Alice Frampton, Cornish Workshop

Do not believe for a moment that quality wood working or the love of fine tools is purely the domain of men. One visit to The Cornish Workshop should be enough to forever shatter that delusion.

Alf, Alice Frampton, has been generously sharing her knowledge and skills for quite a while. She has been a […]

Toolmaking Resources IV; Stephen Shepherd

Stephan Shepherd has long maintained and compiled one the first resources of woodworking information on the net. If you go to his website and then click on Alburnam’s Archive, you will find this resource. Here you will find the motherload. There is more information, tips, methods, recipes and history than can be read in a […]


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Interview Questions » HCA interview questions

HCA interview questions

HCA interview questions for phone, internship interview:
- How do you establish good communication and information flow with others?
- What are your salary requirements at HCA?
- What are common risks at HCA? And how to face?
- Would you rather write a report or give it verbally?
- Why are you leaving your present job?
- Is the HCA your ideal company?
- Give an example of situations when your leadership skills were needed.

HCA interview questions for video, basic interview:
- How would you decide on your objectives?
- Give some instances in which you anticipated problems.
- Describe your ideal job at HCA.
- How many projects do you work on at once?
- Tell about a time that you had to adapt to a difficult situation.
- Where do you see yourself in five years time?

HCA interview questions for first, internship interview:
- What are three positive character traits you don't have?
- What was your best learning experience?
- What is your greatest fear?
- Example when you went above and beyond the call of duty.
- What have you done to support diversity in your unit?
- What percentage of your time is spent doing each function?

Try to avoid specific classifications, whatever it may be. By the conclusion of the interview, state that you are definitely interested in the position and would like to know when the next step will take place.
Print out your resume and bring multiple copies to the interview. Illustrate your examples with experiences from previous jobs, internships, activities, team involvements and community services. Nevertheless, knowing to listen is important, too. You must know when to be a talker and when to be a listener.

HCA interview questions for behavioral, screening interview:
- What kinds of situations do you find most stressful?
- Give examples of steps taken to make each team member feel important.
- What are your career plans at HCA?
- How do you reach a decision if you don't have all the facts?
- Tell me about an important goal that you set in the past.
- How would your teacher describe you?

HCA interview questions for panel, final interview:
- Tell me about a time when you successfully handled a situation?
- What questions do you have for me?
- What do you know about HCA?
- How would you decide on your objectives?
- Time when you made a suggestion to improve the work.
- What has been your most successful job experience in speech making?

Difficult HCA job interview questions:
- How do you manage your time?
- What do you consider your most significant strength?
- What kinds of decisions are most difficult for you at HCA?
- Which subjects did you enjoy during your qualifying degree?
- Give an example of situations when your leadership skills were needed.
- What techniques and tools do you use to keep yourself organized?
- Example when you were able to successfully communicate with another person.
- What is your personal mission statement?
- What salary are you seeking at HCA?
- What do you like and dislike about job we are discussing?
- How do you cope without motivation?
- Who else have you applied to/got interviews with?
- Why are you the best person for this job?
- How do you define empowerment?

Don't spend a lot of time on this question.
Provide clear, concise, and information answers to all HCA interview questions. Ask a friend or relative of yours to help you practice answering an interview. Highlight previous experience from past jobs to better illustrate a fit for the position. Always focus on the positive reason such you were seeking the opportunity to expand your career opportunities.

HCA Phone interview questions HCA interview questions and answers

Universal Service Representative interview questions and answers

Interview Questions


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Home Education When Will 2018 JAMB Registration End? – UTME Registration Deadline

When Will 2018 JAMB Registration End? – UTME Registration Deadline

JAMB Registration Deadline 2018 has been extended from 6th February, 2018 to Sunday, 11th Febraury, 2018. This candidates interested to register for the 2018 UTME registration can still proceed to a JAMB CBT center and register. This must be done on or before 11.59pm on that said date. This is also applicable to direct entry candidates.

The extension of the UTME was disclosed to the general public through the JAMB Official Twitter Handle.

“The Joint Admissions and Matriculation Board (JAMB) announces the extension of registration for 2018 UTME till midnight of Sunday, 11th February, 2018.

“JAMB as a responsive organisation has taken the decision albeit with great hesitation to accommodate candidates who failed to register between the two months window period that ended at midnight of Tuesday, 6th February, 2018”

JAMB also advised her candidates to make sure they utilize this opportunity and register their JAMB as the registration deadline will no longer be extended.

“UTME candidates are therefore strongly advised to take advantage of the extension to register as request for further extension would not be entertained.” JAMB Added.

It has been a tradition for candidates to wait for an extension of the deadline of the UTME Registration before they register. This has prompted JAMB to categorically state that from next session late registration fee will be imposed on candidates who wait for late registration.

“The failure of these candidates to register is unfortunate and the Board hastens to add that this culture of impunity will not be tolerated henceforth.

“Indeed penalty will be imposed for late registration from next session.” JAMB Added.

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Thursday, September 22, 2016

1999 Topps #518 Matt Ruebel

Matt Ruebel pitched for 3 seasons in the Majors. He came up with the Pittsburgh Pirates in 1996, played with them in 1997, and then signed with the Tampa Bay Devil Rays as a Free Agent in early 1998, and spent his final season with them. It is interesting to note that he signed with the Diamondbacks as a Free Agent in December 1998, never made it back to the Majors with them, but  his profile picture on his Baseball Reference page shows him with a Diamondbacks cap on.

Matt appeared on 1 regular Topps card, a 1996 Pitchers Prospects card. He is missing cards from the 1997, 1998, and 1999 sets, and this custom gives him his sunset Topps card. Matt appeared in the 1996 Bowman's Best set, as well as the 1997 Stadium Club set.

My last softball game(s) got rained out on Monday, which sucks, because we had a doubleheader. The good news is that my Batting Average stays at 1.000 for another week. Everything is lined up for the house to close on Thursday, and if the sellers are ok with us moving our stuff in the garage, I think we might just be able to get everything out of our apartment by the time the lease expires at the end of the month. Between all that and the baby shower on Sunday and work, I'll be ready for a few weeks of hopefully not much stress before the baby comes in November.  I'm almost done with the 1999 Rays team set, just a few more cards, and then some fun ones coming up (including 2 of a minor league pitcher named Steve Sharts). Thanks for checking out my latest custom.

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If you'd like free shipping on your next order, just email us a few photos and a short review! Let our readers know your honest opinion , and your next order will be credited with free shipping! Who doesn't love free?
Be sure to include information such as:
What style of lens ordered
A photo of you wearing them! (it can be cropped to show just your eyes, or full face!)
What do you think of the lenses, are they comfortable?
What do you think of our customer service, ordering system, speed of order processing.

Our first review is from Alisha in Ontario. She writes:

I bought a pair of Geo Forest circle lenses in green from Toronto Circle Contact Lenses and I found the experience invigorating.  First, the information on the blog was so helpful in deciding what size and colour would work best for me.  I had asked questions about the circle lenses prior to buying them because I had heard so many rumours; the owner was so kind and willing to provide answers to my questions, going above and beyond.  The shipping was quite quick, almost exactly three weeks, as stated. I could track the package the entire way and the way it was shipped, trust me, the cases were not going to break with that much bubble wrap! lol.  I have gotten to wear the circle lenses a couple of times now and I love them, they look gorgeous and I have gotten comments almost everywhere I go.  The circle lenses don’t feel awkward, taking only a couple of minutes to get used to and they look so nice, natural almost.
I can’t wait to buy the next pair, promo = free shipping on your next purchase if you leave a review! :)


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Most unique spas around the world

Spas worth travelling to

Timeless, ennobling power of SPA pleasures assures zero stress and is a great healthy reward for the soul. If you need a break, take a dip in our list of some of the world’s best spa resorts.

Baden-Baden in Germany: In Baden Baden “Belle Epoque” is alive; the pace of life is hectic as it was in the old times, when people came here because of restorative healing powers of ionizing sources. “I am fully confident that I left my rheumatism in Baden Baden – Mark Twain wrote – Baden Baden can keep it.”

Dead Sea in Israel: The mud of the Dead Sea was part of the restorative and beauty treatments in the Promised Land from the times of the Queen of Sheba (it is known that Cleopatra came here for treatment). Mineral-rich area and its hot springs contribute to multiplying the spas in and around coastal Gedi kibbutz, surrounded by lush green oasis on the slope of the red rock desert.

Ancient Thai Massage – temples of indulgence: Massage, the oldest form of treatment in Thailand, is an ancient Eastern practice, long considered the ultimate restorative forces experience. In every corner of Bangkok neon offer “modern” massage, but the authentic practice that can leave you rejuvenated and overcome the effects of jet lag when traveling by plane, lies elsewhere.

 Budapest – bathroom in the style of the Ottoman pashas: The occupation of Hungary by the Turks between 1541 and in 1686 still felt honored tradition of public baths, a form of leisure that Hungarians take very seriously. Over thirty spa in Budapest offer the possibility to take part in this ancient ritual of revitalizing and strengthening bathrooms.

“Homestead” in the US – spa resort and world-class historic hot springs: Follow the footsteps of Thomas Jefferson to the rustic bathrooms “Jefferson Pulse” for a sybaritic and therapeutic soak in mineral-rich 37-degree water – an experience akin to bathing in hot “Perrier”. Historical bathrooms are kept from the neighboring resort hotel with 500 rooms “Homestead” majestic beautiful Georgian building, reminiscent of European spa resorts, such as Baden-Baden.

“Canyon Ranch Health Resort” in the US – a health center, world-class: A pioneer in the open for both sexes fitness resorts in the United States, “Canyon Ranch” was opened in 1979. and soon became one of the most famous North American centers to maintain health and good shape. Most people come here to shed their life under severe stress and many unhealthy habits. SPA procedures are the primary component of the overall approach to good health here.

Ten thousand waves in the United States – are treated with water under the stars: Take atmosphere of traditional Japanese onsen hot mineral spring and insert it indoors, add the panorama of the beautiful Sangre de Cristo Mountains and the scent of pines and juniper bushes shake childish thrill of discovery of all in a beautiful natural environment, and you get “ten Thousand waves “, a unique health resort in New Mexico, USA.

Bubbling Rotorua in New Zealand – primitive science fiction show: In Rotorua, the center of intense thermal field of Taupo volcanic plateau, bubbling mud pools and sulphurous vapors whistling through the cracks in the ground, creating a bizarre geo-thermal spectacle that George Bernard Shaw called „the hellish scene“ ever seen . In Rotorua live one third of New Zealand‘s Maori, whose legends explain geothermal activity as a flame the gift of the gods.

Karlovy Vary – trio spa resorts in Bohemia: “I feel as if I’m in a paradise of innocence and simplicity,” wrote Goethe, who spent sixteen months in Karlovi Vary, Czech Republic, better known abroad under its German name – Carlsbad. In the biographies of Beethoven, Brahms, Bach, Liszt and many other twice and repeatedly mentions how they have found inspiration here during his frequent visits.

“Golden Door” in California – Spa of all spa: Sdayte their skepticism on the doorstep and leave behind the eight weeks of cell phones, business dinners, nannies, end dates, and insomnia. Constantly rated among the best spa centers in the US, „Golden Door“ houses of 1376 they wonderful acres only 40 guests and is designed in a Japanese style, with meticulously pruned foliage meditative sand gardens, raised wooden walkways and ponds which. This paradise is located in the sunny state of California, about two hours from Los Angeles.

The magic of mineral water in Hissar: Nature has given to Hissar greatest treasure – the magic fountains of health and beauty! Millennial history proves that the unique qualities of the area have inspired people since ancient times not only to visit but to stay. In Hisar climate is mild and pleasant, well-maintained paths, the air is clean and fresh and mineral water brings relaxation and a feeling of complete rest for everyone who dared to touch her magic.

Santa Maria Novella di Firenzi: Today, the spirits have to live 20-30 years, to be called classical. “Santa Maria Novella”, is about 600 years old! Florence near Piazza “Santa Maria Novella” is a Dominican monastery with the same name. For tourists it – graceful as an ivory casket, a church, and quirky ensemble of late Gothic, Renaissance and Baroque. For connoisseurs of the same – this is the place where one of the oldest perfume cases in the world, have come down to us.

Brand “Santa Maria Novella di Firenzi” successfully passed all the eddies of turbulent history of the twentieth century Italy, and still exists today. It is known for its colognes, produced on traditional recipes, flavored oils and salts for the bath.


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New Batches at TathaGat Delhi & Noida!               Directions to CP centre
'See' the Numbers!
by Quant Ghost - Thursday, 11 January 2007, 12:30 AM

Quant Ghost

All you guys and gals, you are warned not to repeat what you have done till now, and for which you have repented and cried your hearts out in the past. It would not be respecting yourself and giving recognition to the gift lying within you. So you better pull your socks up and pledge to yourself that from now on you shall daringly explore the hidden facts embedded in mathematics. Before moving forward, I must say that I assume the following about you:

  1. You are aware of basic family tree of natural numbers, whole numbers, integers, fractions, perfect numbers, real numbers and complex numbers.
  2. You are aware of simple equations such as linear and quadratic and the basic nuisances encountered in it.
  3. You donâ€™t get scared when you see triangles, circles, lines and four sided figures.
  4. You donâ€™t mind if the side of any triangle becomes an equation or some equations vomit some numbers as their solutions.
  5. You give â€œzeroâ€ the right status just like you give to other numbers though I would never like to see this number in your report card.
  6. You never lose the confidence and become the victim of â€œimagining yourself to be a failure.â€
  7. You will respect every element of the mathematical fact coming across to you as much as you respect your parents and friends.
  8. You are not scared of ghosts, at least the one who teaches you mathematics.

Ok, let us start from the building blocks of mathematics i.e. the natural numbers, or the numbers which we use for counting. My main emphasis here would be tell you how closely you have to look at numbers

What happens when we add 1 + 3? The addition gives the number 4 which is a square. What happens when we add 1 + 3 + 5? Again, our addition gives us a perfect square- the number 9. If I take 4 balls and arrange them, I can easily make a square like figure. Same goes with 9 and with all the numbers which are perfect squares

Similarly, there are some numbers which when arranged geometrically can give a triangular figure. These numbers are 1, 3, 6, 10, 15...etc. If you are not getting me clearly, following figures would definitely help you out

Observe the triangular behavior of the numbers given as follows

So whatâ€™s my point? Itâ€™s this- use pictures as much as you can because your imagination is your best friend. What else can you observe here? You added 1 + 3 in the figure and got 4, you added 1 + 3 + 5 and got 9. Therefore, when you add 1 + 3 + 5 + 7 +â€¦up to n numbers in all, you would get n2. Moreover if you find the area of the square having dimensions n, it gives you an area n2.

What else can be derived from these figures? If we put two triangular numbers of the side n together, they form a rectangle, n + 1 by n, whose area is n(n+1). What? What did you say...you donâ€™t agree with me? Ok, letâ€™s check it out; just observe the following figures.

If you just look at the rectangle at the extreme right corner you would see that its area is n multiplied by n + 1. See how easily we can derive these relations from the numbers diagram? Also, you can say easily that

I shall cover some more extension of this concept on the next page

What do you get if you add two consecutive triangular numbers?

Thatâ€™s a perfect square!!

So we saw that numbers gain their importance in our mind only when we explore how they can help us in understanding the relation between them. The ghost shall be happy if the reader understands what he has tried and responds to it. The reader should bear in mind that the ghost is really concerned about them. The reader is advised to explore more relations as it would help him know the numbers in a better way!!

Quant Ghost

Re: 'See' the Numbers!
by Choco Pie - Thursday, 11 January 2007, 04:29 PM

This is really awesome man ... enjoyed a lott all through your article!!!

Waiting eagerly for some more good mathematics !! wide eyes

Re: 'See' the Numbers!
by Chirag Taneja - Thursday, 11 January 2007, 11:59 PM
  I must tel u this is awsome stuff....whosoever is behind this is doing a great job....this is wat we lack....application .....KUDOS to Quantghost
Re: 'See' the Numbers!
by Quant Ghost - Tuesday, 16 January 2007, 04:30 AM
  Quantghost bows his head in acknowledgement for choco pie and Mr.TanejaK
Re: 'See' the Numbers!
by santo john - Sunday, 4 March 2007, 10:50 AM
  I wish you could go and teach every student with the same patience as we would have expected from our teachers..you are indeed an expert..My friends visited this website and were taken aback to see your section..your story is truly inspiring and an eye-opener to us all
Re: 'See' the Numbers!
by vikram singh - Monday, 19 March 2007, 02:21 PM

The post is really helpful in understanding the way quant is to be looked at. This also boosts the confidence in staying calm and downsizing the problem when confronted with a question that seems to be a monster for a while.

Re: 'See' the Numbers!
by Abha Soni - Tuesday, 3 April 2007, 02:18 PM

Dear Quant ghost

It is a  really good stuff ..........no one taught me maths like this ......

but I am not able to understand one thing that how we will come to know that which number is a triangle number...........

If you flash some more light on it then it vl be much more helping for all of us....

Re: 'See' the Numbers!
by Quant Ghost - Wednesday, 4 April 2007, 01:51 AM

Thank you for the compliments Abha and Vikram.

Hi Abha, every triangular number is expressed as triangular numbers.You keep putting N = 1, 2, 3, 4â€¦ etc in this expression and you will get as many triangular numbers as you want. And if you want to recognize them in a second, keep this expression always with you .

Hope quant ghost has made it clear to you. If not, do get back to me.

Quant Ghost

Re: 'See' the Numbers!
by manish sharma - Thursday, 12 April 2007, 12:06 PM

i have just started prep. for cat.. i will be appearing in next year.. can u plz tell me what's the use of triangular numbers.

Re: 'See' the Numbers!
by Quant Ghost - Thursday, 19 April 2007, 02:20 AM

Dear Manish,

Your question is very similar to a query which asks about the use of whole numbers and natural numbers. Just as you find whole numbers present everywhere in the nature, so you discover the triangular numbers. Moreover, recognizing triangular numbers in a sequence or a series helps a lot. Also, they keep showing their presence in the reasoning types of questions.

I hope quant ghost has answered the questions arising in your mindâ€¦

numbers quant triangular

Re: 'See' the Numbers!
by paras udani - Friday, 20 April 2007, 01:50 AM
  hallo..this is paras frm mumbai..actually sir this is a very typical type of question but its very imp for me to get ur guidance..actually i m very weak in quants section and thts y i m not getting interest into it...evryday i first study the basic concepts and thn start with the sums but i really dnt know tht i m not able to solve it..evn the simple sums is taking a lot of my time....thn wat shud i do..is der any book of quants tht i can refer to..??/
Re: 'See' the Numbers!
by Quant Ghost - Friday, 20 April 2007, 08:38 AM
  Dear Paras,

This is EXACTLY the reason TG created this website, that students like you can come and recieve help. For study purpose, refer to TG's lessons and NCERT books for now. Start with simple problems so that you become comfortable with Math. But more than that, start asking. Start posting your problems in the forums and we will post the answers.

number theory problems CAT MBA
hello QG
by sudama baraily - Tuesday, 24 April 2007, 12:20 AM

Re: hello QG
by Quant Ghost - Tuesday, 24 April 2007, 02:11 AM
  The ghost smiles at Sudama...

Re: hello QG
by quaint lee - Saturday, 28 April 2007, 10:07 PM

Hi QG,
Neat stuff. Thanks!

So triangular numbers are essentially the series 1+2, 1+2+3,1+2+3+4, 1+2+3+4+5 ....

Is 1 also a triangular number? It does fulfil the condition n(n+1)/2 for n =1

Re: hello QG
by Quant Ghost - Sunday, 29 April 2007, 05:05 AM
  Yes. 1 is also a triangular number.

numbers triangular numbers
Re: 'See' the Numbers!
by shruti a - Monday, 25 June 2007, 09:43 PM

hi QG....

great article....can u please answer two questions....

1.n(n+1)/2 is also the sum of the first n natural numbers...so any relation of triangle number with that?

2.this question has already been asked before but can u plz illustrate with an example how the concept of triangle numbers will help in solving a problem in a more efficeint manner?

thank you

Re: 'See' the Numbers!
by shruti a - Monday, 25 June 2007, 09:44 PM

hi QG....

great article....can u please answer two questions....

1.n(n+1)/2 is also the sum of the first n natural numbers...so any relation of triangle number with that?

2.this question has already been asked before but can u plz illustrate with an example how the concept of triangle numbers will help in solving a problem in a more efficeint manner?

thank you

Re: 'See' the Numbers!
by jo paix - Wednesday, 25 July 2007, 09:32 AM
  a triangular number is of the form  n(n+1)/2.
Re: 'See' the Numbers!
by arun r - Wednesday, 15 August 2007, 08:54 AM

Hi quant ghost

                  am new to this site.... this article s simply amazin.....

Re: 'See' the Numbers!
by Vinod Paramasivan - Monday, 17 September 2007, 07:56 AM
  Great article QG..

It would be even great if you could provide some examples where this concept of triangular numbers is used.
Re: 'See' the Numbers!
by upadrasta jagadish - Sunday, 14 October 2007, 03:41 PM

Dear Quant Ghost,

Its a great support that we are recieving from you.

Thanks for it.

In this article I am unable to understand how " twice the triangular number is the product of two consecutive integers". Please explain.

Re: 'See' the Numbers!
by shivendu singh - Monday, 15 October 2007, 12:41 PM

Any triangular no will be of form--N(N+1)/2   i.e.(1+2+3.......+N)

twice the triangular no = 2 * N(N+1)/2 = N(N+1), which is product of two consecutive nos.

you can take one example , 10 is a triangle no.

so 2*10= 20 = 4 * 5...

I hope this will clear ur doubt

Re: 'See' the Numbers!
by out onalimb - Saturday, 12 January 2008, 02:59 AM

Dunno if you're still around but damn, I wish we taught this way to kids. I finally understand why it's said there is an elegance to maths.

I wish you'd post some more stuff. I also wish you'd do some teaching/consulting in the school/service I'm going to build one day. big grin

Re: 'See' the Numbers!
by kamal mehta - Thursday, 17 January 2008, 01:27 PM

keep posting such they are  really of immense importance to us . i have even done coaching for cat but still i was not aware of these things please keep posting . i also want to know 1 thing that does u people also offer solution to the problems that u r providing ex:number system problems , geometry problems that u  r providing in the main forum. plaese let me know as soon as possible.

Re: 'See' the Numbers!
by Utkarsh Parhad - Wednesday, 9 April 2008, 01:08 PM

Can anybody please tell me how to get the hard copy of TG's book on number systems

Re: 'See' the Numbers!
by sandeep chincholkar - Saturday, 27 September 2008, 11:40 PM

dats stupendous.....n of great help to all...

Re: 'See' the Numbers!
by Venkata Narsi Reddy G - Tuesday, 16 June 2009, 01:57 PM

Dear Jagadish,

I hope you've observed the figure above the statement saying, "twice the triangular number is the product of two consecutive integers". Imagine the triangles(same right triangles) being joined together with the 2nd triangle inverted. Now, I hope you know dat no. of balls in any figure is the number it represents. So, when the triangles are joined, the last line having n balls of the 1st triangle joins with the first line of the 2nd triangle having 1 ball in the first line to make the total balls in the line to n+1. Similarly, the 2nd line of the 1st triangle having n-1 balls joins with the 2nd line of the 2nd triangle having 2 balls to make the total no. of balls in that line to n+1. In the same way, it repeats for all the n lines of the two triangles.

Now, a rectangular shape is forned with (n+1) balls along the length and n balls along the breadth. So, the no. this figure represents is the no. of balls, i.e., n*(n+1).

I hope this explains your question.

Re: 'See' the Numbers!
by anish bansal - Monday, 2 November 2009, 10:48 AM
  Hi Quant Ghost!!

This article is simply brilliant. smile smile

Re: 'See' the Numbers!
by Saurabh - confusion fused - Tuesday, 3 November 2009, 12:44 AM
  Dear ghost,

The article is nice in a sense that it created a different perspective to visualize mathematics. But I think you should explain the application of triangular numbers. We are anxiously waiting for it.

Thanks for a nice article.
Re: 'See' the Numbers!
by prasanth warrier - Sunday, 17 January 2010, 10:28 AM
  fantabulous way of teaching...sir iam prashant from mumbai...i wil be givin cat this november..i dint get one thing in this segment....where do we exactly use it...can u give some examples of its actual use

Re: 'See' the Numbers!
by deepti anand - Tuesday, 25 May 2010, 04:01 PM
  hii ghost..
m new 2 dis site...ur article is amazin...bt can u tell hw dis triangular concept can b used in ques...i mean in wat type of ques can v use dis concept..??
Re: 'See' the Numbers!
by Nikhil Khnadelwal - Sunday, 22 May 2011, 01:27 PM
  wonderful article............ thanks all concerned
Re: 'See' the Numbers!
by sumit garg - Thursday, 4 June 2015, 11:55 AM
  Awesome Sir

very new concept


text:
Some Quick Thoughts on the Coaching Staff

Some Quick Thoughts on the Coaching Staff

January 26, 2018

It’s late on Thursday evening and some things are brewing with Michigan’s coaching staff, so here are some brief thoughts on the current situation:

Tim Drevno (OL/RGC) and Pep Hamilton (QB/PGC): Both of these guys are still in Ann Arbor. More specifically, they’ve been on the road recruiting for Michigan leading up to National Signing Day. Drevno played Top Golf with Rice transfer prospect Calvin Anderson, and Hamilton has been offering quarterbacks. Which one of these guys is going to go, and when? With the early signing period in December, it feels late to be making coaching changes, but maybe it’s important to keep in mind that the old “National Signing Day” in the first week of February has not arrived. It’s not uncommon for coaches to be moving after NSD, but we’re not there yet. I’m not a fan of coaches leaving as soon as kids sign on the dotted line, but that kind of thing happens sometimes. I’m not alone in the belief that one or both of these coaches need to go. Aside from the head coach, these two guys are the most culpable for Michigan’s abysmal offense in 2017. I don’t see how anyone on the staff, the fans, or the players can feel confident going into 2018 if neither one is replaced.

Dan Enos (WR): We all thought it was weird when Dan Enos signed on to be “wide receivers coach” when he’s historically been a head coach, an offensive coordinator, a quarterbacks coach, and a running backs coach. The belief a couple weeks ago was that he would become a coordinator in one phase of the game or another, and now he appears to be headed to Alabama to be their quarterbacks coach and assistant head coach. It’s kind of insulting to expect a former FBS head coach to wait around as a minor position coach just to see if one of your coordinators will leave, so Jim Harbaugh needs to poop or get off the pot when it comes to the Drevno/Hamilton situation. Otherwise, it’s very likely going to derail everything he’s trying to do in Ann Arbor, because Michigan needs to gain momentum next year.

There’s too much turnover: In the first year or two, I didn’t mind the turnover at Michigan. The Wolverines were bringing in up-and-comers (Chris Partridge, Devin Bush Jr.), and they were losing some other up-and-comers (D.J. Durkin). I believe there’s too much turmoil within the football program, both on the coaching staff and in the off-the-field personnel. Think of the people who have come and gone in just three years: Durkin, Rick Finotti, Jim Minick, Tony Tuioti, Greg Jackson, Tony Tuioti, Dan Enos, Tyrone Wheatley, Jedd Fisch, Greg Frey, Dan Enos, Kevin Tolbert, Brian Smith, Bam Richards. I’m sure I’m missing some, so that’s a partial list of coaches and recruiting personnel totaling 14+ people who have left. There was a rumor last week that Jim Harbaugh reached out to Mike Hart to see if Hart was interested in returning to Ann Arbor, and Hart said he was just fine with his place in Bloomington, Indiana.

Sherrone Moore (TE) and Al Washington (LB): From everything I have seen from Moore so far, I think he’s going to be an excellent recruiter at Michigan. The same can be said for Washington. I’m confident that Washington will mesh well with Don Brown on the defensive side, and we’ll see how Moore works out on the field with the tight ends. They might not bring a lot of name recognition, but at least they bring the aspect of being energetic recruiters to help Michigan get over the hump in some areas where they have been struggling. In addition, I think these guys are young enough where they won’t be pulled away for big-time jobs in just one year’s time. Coaches change jobs frequently, but hopefully these two can stick around for at least three to four years to keep some continuity.

  1. Comments: 1080
    Joined: 8/13/2015
    Jan 26, 2018 at 7:18 AM

    Excellent Gif.

  2. JC
    Comments: 164
    Joined: 8/17/2015
    Jan 26, 2018 at 8:48 AM

    I was pretty excited about the Enos offer. But, I was also pretty excited about the Nuss offer, so maybe I’m not the best judge for it.

    I don’t hate it if Drevno stays on as OC or as OL coach. I think next year will be an excellent measuring stick to really see what he’s capable of, because it’s very difficult to run an offense when you don’t have the necessary bodies to field a competent OL. Harbaugh has had 3.5 recruiting classes – we should have an OL by 2018.

    I say I don’t hate it, because if Drevno stays on, hooray for continuity, hooray for Drevno working out. But I dislike it because if our offense looks like it would struggle against MAC teams, then I would hope Harbaugh would clean house, and then 2018 will feel like a wasted year. But with a new offensive coaching staff 2019, it might be an adjustment year, and we lose a lot of talent in 2019 so that’ll be wasted.

    I have faith in Harbaugh, but I don’t know how many more years of “next year will be better” I have left in me.

    • Comments: 169
      Joined: 9/3/2015
      suduri xusai
      Jan 26, 2018 at 2:39 PM

      It is the freaking Pep that infuriates me with terrible QB play and poor WR route running. The guy doesn’t deserve his million dollar paycheck. If we gave half of that to Enos he would not have left

  3. Comments: 82
    Joined: 9/13/2015
    Jan 26, 2018 at 9:09 AM

    My thoughts:

    1 – Something needs to change in the offensive brain trust. I wasn’t in love with Enos, who seems like just a guy, but at least he was a different guy. Apparently he must have been in demand if Alabama wants him. I would have liked to see them bring back Fisch, though obviously a long-shot.

    2 – I don’t mind some level of turnover, especially since several of the names on your list aren’t even official coaches. I prefer turning over a couple of spots each year far more than Carr’s blind loyalty. It helps build the tree, it helps bring perspective, and it is what you often see at successful schools.

    3 – What about Warriner? Is he now like Enos and in a holding pattern to possibly become an OL/OC coach?

    My gut feeling is that Harbaugh expected Pep to get an NFL job of some sort and then he’d avoid having to fire him. Now I think he’s waiting until after the Super Bowl and Signing Day to see if anything shakes out or if he needs to pull the plug.

  4. Comments: 3
    Joined: 1/9/2017
    Jan 26, 2018 at 9:32 AM

    Magnus, unless I missed something I don’t think Enos left the Michigan program twice as noted in your Turnover section. Otherwise, thanks for comments on the coaching carousel… very frustrating, as I am not a fan, based on 2017’s performance, of either Drevno or Pep at this point.

    Go Blue

    • Comments: 169
      Joined: 9/3/2015
      suduri xusai
      Jan 26, 2018 at 2:36 PM

      Should’ve fired Pep and Drevno and made Enos the OC — that would’ve prevented him from leaving like this

      Makes our program look like Starbucks bathroom.

  5. UM_1973
    Comments: 45
    Joined: 10/14/2015
    Jan 26, 2018 at 10:47 AM

    My two cents worth: Drevno was fine 3 yrs ago with Ruddock at QB. Some coaches need certain pieces to be in place before they can succeed. Not every coach can be a Belichick or Popovich. With Saquon Barkley, James Franklin looks like a star. Let’s see how he looks without the stars this yr. I am hoping Shea Patterson is eligible and Drevno stays. If the offense still sucks, then the change can come next year. But I agree with Thunder that there has been too much turnover in our coaching staff. Let’s keep the HC, OC and DC for now.

    • Comments: 169
      Joined: 9/3/2015
      suduri xusai
      Jan 26, 2018 at 2:35 PM

      That was Jedd Fisch, not Drevno

  6. Comments: 30
    Joined: 1/2/2016
    Jan 27, 2018 at 5:13 AM

    The fact that Saban wants Enos is a good enough endorsement for me. I wonder if the best moves would have been firing Drevno and Pep, hiring Enos as RB coach, Warrington as OL coach and getting a true OC, or just make Enos OC with Jay as RB coach. Also, does all this staff turnover mean Jim is hard to work with?

    • Thunder
      Comments: 2401
      Joined: 7/13/2015
      Jan 27, 2018 at 8:56 PM

      I don’t think there’s much of a question that Harbaugh is hard to work with. It’s been shown at a couple different stops. But lots of those FBS head coach types are difficult to work with. Heck, what’s-his-name at EMCC is hard to work with. A lot of football coaches are assholes.

      • Comments: 30
        Joined: 1/2/2016
        Jan 28, 2018 at 5:26 AM

        Thanks. I meant Warriner and not Warrington.

      • Comments: 1080
        Joined: 8/13/2015
        Jan 28, 2018 at 8:32 AM

        Buddy Stephens

        • Thunder
          Comments: 2401
          Joined: 7/13/2015
          Jan 28, 2018 at 8:46 AM

          Thanks. I had a brain fart.

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5 Easy Facts About Tour de France Described

Area lad Nacer Bouhanni appreciates these streets well and he is Evidently briefed his team-mates who will be in control right now. Tons can adjust yet. Lots.

A team time demo (TTT) is really a race in opposition to the clock through which Every group rides alone. Some time is the fact that with the fifth rider of each and every group: riders more than a motorbike-duration at the rear of their group's fifth rider are awarded their own personal times.

In the summertime of 2017, the NRW-Discussion board Düsseldorf will provide a double arena for A significant sporting event and a media function. Not just will the route for that Grand Déelement go right past the Ehrenhof but the Tour will even be coming in to the exhibition Area.

Froome grew to become the second consecutive British cyclist to acquire the Tour de France, soon after Bradley Wiggins attained the feat the 12 months just before. Inside the race's other classifications, Movistar Staff rider Quintana received the mountains classification and also finished as the most beneficial youthful rider in the final classification, ending in next spot General; Peter Sagan from the Cannondale crew was the winner in the details classification, with Saxo–Tinkoff finishing as the winners of the workforce classification.

The sleeve style and design depicted the band on road bikes in a paceline, superimposed throughout an angled representation of your French nationwide flag.

The shortest from the a few phases within the Alps, phase 11 starts off with climbs from the Montée de Bisanne and the Col du Pré, both of those of which element lengthy stretches of gradients in double figures, right before a far more steady climb up towards the summit complete in La Rosière.

The longest stage from the race sees the riders arrive inside of just 85km (as being the crow flies) of your Champs-Élysées, and, like the ultimate stage just about two months later, is probably going to end in a sprint end.

L'Vehicle's mission was accomplished as all through the race circulation of the publication doubled, earning the race anything much larger than Desgrange experienced ever hoped for.

one. ‘That is why you can get killed’: Truck driver’s ill-knowledgeable rant at cyclists Using lawfully goes viral

Early experiences are expressing that Cavendish has sustained a broken collarbone, but I must pressure these are unconfirmed. If those experiences are true, even though, then Tour de France that should be awful information for your sprinter who appeared to be rediscovering his form adhering to a protracted lay-off with health issues.

talkSPORT Towers ended up dealt with to an exceptionally Specific stop by through the British cycling legend fresh from his medal results in Brazil

The 2006 Tour had been suffering from the Operación Puerto doping circumstance prior to it began. Favourites which include Jan Ullrich and Ivan Basso ended up banned by their teams a day prior to the start off. Seventeen riders ended up implicated. American rider Floyd Landis, who concluded the Tour as holder of the overall direct, experienced tested favourable for testosterone following he gained phase 17, but this was not confirmed until eventually some two weeks once the race concluded.

Timm Kölln's challenge The Peloton displays well known cyclists seconds after the end line - an personal look at interesting athletes, at the beauty of the Opposition and also within the chasms within a process that is becoming A growing number of discredited. The Peloton Legs series displays the cyclists' pleasure and money, namely, their legs, that happen to be more substantial than life and, like pillars, seem like supporting the place.

The oldest and many popular classification in the Tour de France is the overall classification.[seventy four][seventy five] The entire phases are timed to your complete.[75] The riders' times are compounded with their earlier phase moments; Hence the rider with the bottom mixture time is definitely the leader of your race.[74][75] The leader is set after Each and every stage's summary: he gains the privilege to don the yellow jersey, presented over a podium in the phase's finishing city, for the following stage.

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