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after the firs goal!!!
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If there is ever a Zombie apocalypse, Vinny shows you how to make some defe...
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Pull up your red diaper and go on an adventure with the best talking animal...
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March 22, 2013
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The Pacific Rim concept artists discuss Kickstarted sci-fi short Momentum at Gnomon on Thursday. Watch free online. Read more »
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Massive online library of scans of real-world materials and objects used on The Jungle Book finally goes live. Two free helper tools, too. Read more »
Intuitive shot-review system lets users share work and see notes in the timeline within After Effects. Read more »
August 23, 2016
Minions animator's $10 Blender add-on creates detailed, production ready full-body and facial rigs. Read more »
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The concept artist tells us about his work, designing believable game worlds, and his tips for other artists. Read more »
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IshQ Bector may have a music-bank of over a hundred-and-fifty songs, but when it comes to dedicating one for that 'special someone', he dreams only about the sensuous Deepika Padukone. That could be the reason why he has devoted an entire song titled "Tu hi meri angel, tu h
Group Dance in Infosys Pune - Family Day iBPO (by SAHIL GUPTA with 360 Degree Group) _ (Part 2 of 2)
Group Dance performance in Infosys Pune - FAMILY DAY iBPO 2010 ! (by SAHIL GUPTA with 360 Degree Group) __ Part 2 of 2 __ This was a Group Dance performance during Family Day 2010 held in Infosys Pune (Phase-1 amphitheatre). Dated: 27th March 2010 Songs: Oh Humdum Suniyo Re... (Saathiya) Aye Hip Hopper Mujhe Pyar Toh Kar... (Dakku Daddy, Ishq Bector Ft. Sunidhi Chauhan) In The End (Remix)... (Linkin Park) Aloo Chaat... (Aloo Chaat) Punjabi Usher... (Punjabi Usher) --------------
Ishq Bector
In a swift move that has taken the entire film industry by surprise, firebrand Rakhi Sawant and singer-composer-lyricist ishQ Bector, have gone ahead and taken legal action on the industry's regulatory bod
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January 16, 2014
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Me & my wife met in college 40 years ago at a folk dancing event on the college campus. we love to dance, and would like to try this out.
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The Crucified God: The Cross of Christ as the Foundation and Criticism of Christian Theology Paperback – 1 Sep 1993
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Product Description
a book that would be of great assistance in university and college teaching, as well as providing a useful reference work for students, clergy and teachers --This text refers to an alternate Paperback edition.
About the Author
Jurgen Moltmann is Emeritus Professor of Systematic Theology at the University of Tubingen. --This text refers to an alternate Paperback edition.
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Christus Victor: An Historical Study of the Three Main Types of the Idea of the Atonement: (SPCK Classics) PaperbackGustaf Aulén£14.88
Customer Reviews
Top Customer Reviews
What follows is an extremely tightly written work. That is, is it not easily broken down and each sentence is carefully thought through and argued; and it is not all that easy to follow the argument, if I'm honest. There were numerous times I found myself having to go back on myself, re-read certain passages and try and find the origin of the thread. In that respect, it is not dissimilar to the way Paul wrote his letter to the Romans, with lots of sentences starting with a reference (e.g. therefore, so, since, etc.) to what had been discussed before. The line of thinking, as it is referred to in numerous places, is Luther's theologia crucis.
A very large focus is put on the emphasis of God suffering as a result of the crucifixion, and of exploring the theology of what it means for God to be in Jesus and therefore for God to be crucified. Now a lot of my reading, and probably most people's, will be coloured by their own pre-existing ideas about the nature of trinitarian theology and what it means for Jesus to be identified as God and yet abandoned and rejected by God on the cross.Read more ›
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Very deep and fascinating book, packaging good, arrived on time and undamagedPublished 17 months ago by Mr Peter Barnes
I had to get this when candidating for Ministry and when I first read it I hated it. Now I hate it. I will always hate it. Read morePublished 22 months ago by Mr. R. Johnson
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Gay, Bisexual or Straight?
12 Questions - Developed by: Thomas - Developed on: - 2.047.550 taken - User Rating: 3.7 of 5.0 - 2.672 Votes
Hello! This test, I'd say were fit for guys in the age of 13-16 or 17 years. The age where most guys do think the thought: "Am I gay, bisexual or straight?"
If you ARE unsure of what your sexuality is, do try to take this test:)It may at least get you to think over it more closely.
Is there a new comment? / refresh page
50% gay proud and not ashamed 😀
I am 100% straight 😀
100% Bisexual And I'm Not Ashamed
98% Gay I'm A Girl And I'm Kinda Glad :)
I'm 97% gay my one of my classmates is gay
It was all targeted to men.. I'm a girl
Sorry my other comment is mess up, so yes im 100% straithg
I always thought i was straithg but right know im i know that i an indees straithg
I'm 87% gay I'm really happy to find out my sexuality
Demon and I'm 14 Evan though I'm a demon I'm nice.
I'm bisexual and not human I'm a Desmond
100% percent straight
I Am So Glad I Aint Gay or Bi.... IM STRAIGHT AND all yall Bisexual and Gays Are going to HELL
I got 67% bisexual I knew I was bi now I need to look for love
I'm 92% gay - me and my best friend (boy) actually kissed and then slept in the same bed. Nothing sexual though
I have always wanted to bang a girl just to know what it was like. I am 67% bisexcual and I alway new I was a little bisexcual. I really would like to bang a girl, now that I know I'm a little Bisexual.
I'm 97% gay I like boys a lot I have a dream of kissing a boy
[BEEP] its rigged. It said im gay but most of the stuff i answer where really straight things. And btw if you guys got 95% gay and you know you straight its rigged DONE.
For 67 percent Im bysextual would someone like to date me I would like to kiss a girl
33% straight
33% gay
34% bi
33% gay
34% bi


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The PickleRead MoreTurn up the heat with a Cajun dish from The Pickle. Open air seating is ready for diners at The Pickle when the weather is warm. Short on time? Don't wait for a driver — pick it up yourself. If you're not in the mood to drive, hop on public transportation instead; King Memorial (Blue, Green) is a nearby stop. The Pickle's patrons can find places to park in the area. When you're tired of the same old lunch options, make your way over to The Pickle for a spicy Cajun meal.803 Mercer Street SoutheastAtlanta, GA US
Joe's CateringRead MoreBLT, club, veggie, and more...Joe's Catering serves sandwiches too tasty to pass up. Skip long waits and head to Joe's Catering with your large group for easy seating. Joe's Catering prides itself in its delicious catering. Score a close parking spot at Joe's Catering. So put a spin on your regular lunch routine with a delicious sandwich from Joe's Catering.290 Martin Luther King Jr Dr SEAtlanta, GA US
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Jack Art GalleryRead MoreThe museum at Jack Art Gallery hosts amazing pieces of art and culture from the past in Atlanta. With food just the way you like it, this museum elevates your restaurant experience just on the level of taste. Parking is plentiful, so patrons can feel free to bring their vehicles.659 Auburn Ave NEAtlanta, GA US
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FREE SHIPPING* on orders of $50 or more. Ends at midnight 8/31/16.
FREE SHIPPING* on orders of $50 or more. Ends at midnight 8/31/16.
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Offer good for one item at regular price only. Limit one coupon per customer per day. Must present coupon at time of purchase. Offer is not valid with any other coupon, discount or previous purchase. One cut or one bolt of fabric or trim "by the yard" equals one item. Online fabric & trim discount is limited to 10 yards, single cut. Excludes Heidi Swapp™ Minc.™ Foil Applicator, CRICUT® products, Gemini Machine™ Crafters Companion, Silhouette CAMEO® Machine, candy & snack products, gum & mints, helium tanks, gift cards, custom orders, special orders, labor, rentals or class fees. Cash Value 1/10¢.
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Apr 23
Bio: Born In K.C Mo. I have been playing the flute for almost forty years. I also play piano, some reeds and sing. I studied and played with Jaki Byard for many years and have worked or performed with; Charles Persip, Henry Butler, Jimmy Heath,Lester Bowie, Stanley Cowell, Kenny Barron, Warren Smith, ...See Full Bio


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Der Steiermark Condominiums by Ski Country Resorts, Breckenridge
- Spa tub
- Free WiFi and free parking
Main amenities
- 3 smoke-free condos
- Ski-in/ski-out access
- Restaurant and bar/lounge
- Free area shuttle
- Spa tub
- Self-serve laundry
- Limited hour front desk
What's around
- On the riverwalk
- Breckenridge Ski Resort (2.2 mi / 3.5 km)
- Riverwalk Center (0.2 mi / 0.3 km)
- Barney Ford House Museum (0.4 mi / 0.6 km)
- Edwin Carter Museum (0.5 mi / 0.8 km)
- Breckenridge Golf Club (4.9 mi / 7.9 km)
Der Steiermark Condominiums by Ski Country Resorts, Breckenridge
Hotel Info: 866-539-8117from $109
- Studio, 1 Queen Bed with Sofabed
Also popular with travelers from the USA
At a glance
Key facts
Hotel size
- This hotel has 3 rooms
- This hotel is arranged over 3 floors
- Check-in time starts at 4 PM
- Check-out time is 10 AM
If you arrive at the property after hours, you'll need to check in at an alternate location: 213 North Main Street
24-hour airport shuttle service is available. Contact the property in advance to get details. The check-in office is located at Ski Country Resorts, 213 North Main Street, Breckenridge.
Office hours are as follows:
Guests planning to arrive after hours should pick up keys at the drop box located at the Ski Country Resorts office. Guests can contact the property in advance to get detailed instructions. Contact information is included on the booking confirmation.
Required at check in
- Credit card deposit required
- Government-issued photo ID required
- Minimum check-in age is 21
Travelling with others
- No cribs (infant beds)
- Pets not allowed (service dogs only)
- Free WiFi in public areas
- Free WiFi in rooms
- Free self parking
- Free area shuttle
- Free ski shuttle
Other information
- Smoke-free property
- Resort fee included
Nearby Two Star Breckenridge hotels
In the hotel
- Restaurant
- Bar/lounge
- Ski-in/ski-out access
- Free ski shuttle
- Spa tub
- Front desk (limited hours)
- Laundry facilities
- Number of buildings/towers - 1
- Elevator/lift
In the room
- Coffee/tea maker
- Iron/ironing board (on request)
- Sofa bed
- Sofa bed size queen
- Fireplace
- Individually decorated
- Individually furnished
- Patio
- Private bathroom
- Shower/tub combination
- Hair dryer (on request)
- Cable TV channels
- DVD player
- Free WiFi
- Refrigerator
- Microwave
- Kitchen
- Stovetop
- Cookware, dishware, and utensils
- Dishwasher
- Connecting/adjoining rooms available
Top Breckenridge hotels
Recently reviewed hotels in Breckenridge
- Wedgewood Lodge
"This is great if you need a full studio with full kitchen so you can go get groceries and cook during your stay. It wasn't quite what I expected as there is no full time desk…"Aug 25, 2016
- Crystal Peak LodgeFrom
"Only stayed 1 night passing through town. Great place to relax and unwind. Gondola ride into town was beautiful and they offer a free shuttle back to hotel after gondola shut down…"Aug 24, 2016
- The Arrabelle at Vail Square, A RockResortFrom
"Unbelievable!! Highly recommend. No detail was missed. From the moment pulling in, bell hop was by the car helping to unload the bags and check if our room was ready. Then walked…"Aug 24, 2016
- Ski Tip LodgeFrom
"Exceeded our expectations! Food was amazing! Charming place!"Aug 23, 2016
Nearby hotels
Special features
DiningMi Casa - Onsite restaurant. Guests can enjoy drinks at the bar. A children's menu is available.
On Site
- Spa tub
- Bicycle rentals nearby
- Ecotours nearby
- Golf lessons available nearby
- Golfing nearby
- Hiking/biking trails nearby
- Kayaking nearby
- Mountain biking nearby
- Rafting nearby
- Sailing nearby
- Scooter/moped rentals nearby
- Cross-country skiing nearby
- Downhill skiing nearby
- Snowboarding nearby
- Snowmobiling nearby
- Snowshoeing nearby
Der Steiermark Condominiums by Ski Country Resorts, Breckenridge's small print
Also known as
- Der Steiermark
- Der Steiermark Condominiums
- Der Steiermark Condominiums Breckenridge
- Der Steiermark Condominiums Condo
- Der Steiermark Condominiums Condo Breckenridge
- Der Steiermark Condominiums Ski Country Resorts Condo
- Der Steiermark Condominiums Ski Country Resorts Breckenridge
- Der Steiermark Condominiums Ski Country Resorts
The property has connecting/adjoining rooms, which are subject to availability and can be requested by contacting the property using the number on the booking confirmation.
This property's policy is to refuse certain bookings for the purpose of group events or parties, including pre-wedding stag/bachelor and hen/bachelorette parties.
Only registered guests are allowed in the guestrooms.
For transfers, guests must contact the property before arrival at the number on the booking confirmation.
Mandatory fees
The charges below are included in the total price displayed:
- Resort fee
We have included all charges provided to us by this hotel. However, charges can vary, for example, based on length of stay or the room you book.
Recent reviews
Good 3.6 /5 from 20 reviews
Awful room awful bed, never again..
The bed in unit 109 was EXTREMELY uncomfortable and the pillows were like flat cardboard. My husband and I are not complainers. We are go with the flow people. The bed was SO uncomfortable that we dragged the mattress onto floor to see if that would be an improvement. (We were told each owner furnishes their own unit, so other units may be much better.) The staff at the rental agency was very polite, friendly, and tried to be helpful.
Perfect small condo for an individual. Located very close to the riverwalk center and downtown Breck.
We were only in town for one night after a wedding but we were very impressed by the room and its location right next to main street. You are right walking distance to restaurants and shops.
Location, excellent. Room was nice size, great clean kitchen, balcony faced mountain and river view. Would have rated room much higher with one MAJOR exemption. We locked ourselves out on the balcony. A hotel CANNOT have a door that opens from the inside yet is locked on the outside on it's balcony. That's okay and standard for the front door. It's ridiculous for the balcony door. I had to drop off a 12 foot high balcony,and only because there was a shed underneath to make it doable. As we were there off season no one was there to hear our yells for help. I was informed that it wasn't the first instance of this. No excuse for the condo owner to let this persist. Also, we could easily hear the tv of our neighbor somewhere in the building. Noise would probably be an issue during busy times. Otherwise, a great place and location.
Is the description of this hotel not correct? Tell us


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Announcement ScreenPrints, Illustrations, Textiles and creative goods filled to the brim!
ScreenPrints, Illustrations, Textiles and creative goods filled to the brim!
Colin Compton on Jan 13, 2015
Gorgeous print, great customer service.
Susy Morris on Aug 12, 2014
Great gift for that Tolkien fan in my life!
smithmollyjo on Dec 28, 2013
It is a beautiful and unique print. The colors are just as they appear in the photo online. Adam and BuzzStudios were great to work with. I received my print when I expected to and couldn't be more excited to have it! Thanks!!
Shop policies
Enjoy the Eye Candy!
Accepted payment methods
- Accepts Etsy gift cards
Australia: Orders will be sent letter mail and should take between 5 - 7 business days to arrive. Larger orders will be sent parcel post and will arrive within 5 - 10 business days.
International: Orders will be sent by Light Packet (Air Mail) and will arrive within 10 - 20 business days.
Refunds and Exchanges
Items that appear lost in the mail are usually just lazy and can take upwards of one month to arrive outside of Canada. If a month has
passed and your order has still not arrived please contact me to make alternate arrangements.
Additional policies and FAQs
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text:
|Name: _________________________
|Period: ___________________
This test consists of 15 multiple choice questions and 5 short answer questions.
Multiple Choice Questions
1. When does Anne give Henry a present?
(a) New Year
(b) His birthday
(c) Easter
(d) Christmas
2. What was sent for Mary and William's journey?
(a) A royal group of horses
(b) A royal escort
(c) A royal barge
(d) A royal coach
3. George tells Anne she belongs in a Bagnio. What is that?
(a) A mental institution
(b) A nunnery
(c) Jail
(d) A brothel
4. Who ends up escorting Mary to court?
(a) William
(b) Henry
(c) Uncle
(d) George
5. What is the charge of the men who are imprisoned?
(a) Adultery involving the Queen
(b) Conspiracy
(c) The poisoning of the men
(d) Theft
6. What does the reader learn Henry often is?
(a) Perverted
(b) Asleep before sex can even begin
(c) Sleeping with many women at the same time
(d) Impotent
7. Where has Anne journeyed to in order to conceive her current child?
(a) A place of peace
(b) A witchdoctor
(c) The gates of hell
(d) A nunnery
8. About what is Anne to tell Henry she was mistaken?
(a) Being in love with him
(b) Being as angry as she is
(c) Being pregnant
(d) Being upset at his taking a lover
9. Who is summoned back to the court, without their spouse or child?
(a) George
(b) Mary
(c) Francis
(d) William
10. What is causing Henry to avoid Anne?
(a) Her temper tantrums
(b) Her nagging
(c) Her disease
(d) His love for another
11. To whom is Katherine writing appeals?
(a) The Pope
(b) Cardinal Wolsey
(c) King Henry
(d) Cardinal Cranmer
12. From whom does Mary receive a note telling her that George will escort her to court?
(a) Henry
(b) George
(c) William
(d) Uncle
13. What is the present to Henry?
(a) A note
(b) A fountain
(c) A book
(d) A son
14. Who is one of the people that does NOT know about Anne's pregnancy?
(a) George
(b) Anne
(c) Mary
(d) Henry
15. Where does Mary sit as she and George are covering for Anne and Henry?
(a) On the ground
(b) On a rock outside
(c) Anne's chair
(d) George's lap
Short Answer Questions
1. Who does Mary's uncle say to take away from court?
2. What is "Sending a Cardinal to Hell"?
3. When does Anne become pregnant again?
4. Who has grown fat and gluttonous?
5. Who does Anne force to be present during the birth of the new child?
This section contains 359 words
(approx. 2 pages at 300 words per page)


text:
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Sardar Singh returns to lead India in 6 Nations hockey tournament
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Mahindra Lifespace to sell sobo property to promoter's family trust
The company is seeking shareholders' approval for the said transaction and has informed them through a notice for its 17th AGM to be held next month.
Rift in Mulayam Singh Yadav's family in the open
Akhilesh had also sacked senior minister Balram Yadav for facilitating the controversial QED-SP merger though the Chief Minister re-inducted him in his team later.
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Speaking about the trials held yesterday, chief coach Roelant Oltmans said he is pleased with the team's progress.
How Dr Patel can become Sardar Patel of policy & markets
Patel can't let standards slip at RBI, lateral hires to bring in talent will be a key strategy, RBI under him must aspire to be top class in policy thinking.
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"They have been demanding full and fair rehabilitation which they have not yet got despite being displaced in late 1980's and 1990's," a statement said.
Trust in Pakistan in fighting terror "completely shaken": Rajnath Singh
Rajnath Singh also made it clear that not allowing NIA team to probe the Pathankot terror strike will amount to "betrayal".
Azlan Shah, Champions Trophy will serve as Olympic preparations: Sardar Singh
With an eye on the Olympics, the India hockey team skipper Sardar Singh today said that the upcoming tournaments like Sultan Azlan Shah Cup and Champions Trophy.
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Kirpal Singh's sister Jagir Kaur was accompanied by Dalbir Kaur, sister of another Indian, Sarabjit Singh who had also died in a Pakistani jail in May 2013.
Digvijaya Singh defends Gandhi family, says Congress binds India
Digvijaya Singh on Saturday came out in defence of the Gandhi family and said the Grand Old Party is the "only thread" that can bind the nation.
No conflict within family, says Shivpal Yadav
He, however, did say that when action is not taken against junior officials by senior bureaucrats despite being asked to, it pains him.
Punjab CM Parkash Singh Badal accuses Rahul Gandhi of carrying 'anti-Sikh' family legacy
Badal said, Congress governments at the Centre have "tormented the psyche" of Sikhs by meddling in their social, economic, political and even religious affairs.
Hindu families in Kairana say BJP MP Hukum Singh lying about 'exodus'
Some said that if certain families have moved, it is to find employment and better amenities and not out of the fear of rising instances of communalism.
Punjab government to provide relief to Kirpal Singh's family
On the lines of Sarabjit Singh case, Punjab government would extend all help and relief to the family of Kirpal Singh who died in a Pakistani jail.
Government to bear healthcare expenses of BPL families
Modi said the entire economy of a poor household gets hit when somebody falls ill and this scheme will ensure that such families are not deprived of healthcare benefits.
Family Finances: Sarvesh Singh needs to stagger investments to reach goals easily
This financial plan will not only help Singh streamline his finances but will also help him invest in a more focused manner.
Logistics data bank set up at Jawaharlal Nehru Port Trust in Mumbai
Logistics data bank service would bring efficiency in the current Logistics & Supply Chain environment through use of information technology.
'Happy Bhag Jayegi' review: A family comedy that pulls the right strings
Happy Bhag Jayegi is a fresh, light-hearted take on a cross-border camaraderie that revolves around a runaway bride.
Indian hockey captain Sardar Singh denies sexual harassment charge
He has rubbished the charge by a British hockey player, saying even though he knew her they never got engaged as claimed by the woman.
Indian hockey skipper Sardar Singh accused of sexual harassment
In a startling revelation that can shake the roots of hockey in India, India captain Sardar Singh has been accused by his long-time girlfriend of 'attempt to rape' in a complaint filed at a police station in Ludhiana.
No proposal for uniform treatment of families of spies: Government
Minister of State for Home Affairs Hansraj Ahir said, "No such proposal is under the consideration of the government."
Temple: Royal family terms former CAG Vinod Rai's report as 'unbelievable'
The royal family member also said old Malayalam numerals were used in the temple records and the "mistakes" in the figures might have happened while translating it.
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Amit Shah slams Nehru-Gandhi family for India's lack of development
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Netaji's family differed on DNA testing ashes
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The Creation Of A Video Review Guide For The Free-Response Section Of The Advanced Placement Calculus Exam, 2016 Western Michigan University
The Creation Of A Video Review Guide For The Free-Response Section Of The Advanced Placement Calculus Exam, Jeffrey Brown
Honors Theses
The Creation of a Video Review Guide for the Free-Response Section of the Advanced Placement Calculus Exam follows the creation of a resource to help students prepare for the College Board's Advanced Placement Calculus Exam. This project originated out of the authors personal experiences in preparing for this exam. The goal of the project was to create an accessible resource that reviews content, provides insights into the Advanced Placement exam, and creates successful habits in student responses. This paper, chronologically, details the development of the resource and a reflection on the final product and future uses.
Definition Of A Method For The Formulation Of Problems To Be Solved With High Performance Computing, 2016 Kennesaw State University
Definition Of A Method For The Formulation Of Problems To Be Solved With High Performance Computing, Ramya Peruri
Master of Science in Computer Science Theses
Computational power made available by current technology has been continuously increasing, however today's problems are larger and more complex and demand even more computational power. Interest in computational problems has also been increasing and is an important research area in computer science. These complex problems are solved with computational models that use an underlying mathematical model and are solved using computer resources, simulation, and are run with High Performance Computing. For such computations, parallel computing has been employed to achieve high performance. This thesis identifies families of problems that can best be solved using modelling and implementation techniques of ...
Multilevel Models For Longitudinal Data, 2016 East Tennessee State University
Multilevel Models For Longitudinal Data, Aastha Khatiwada
Electronic Theses and Dissertations
Longitudinal data arise when individuals are measured several times during an ob- servation period and thus the data for each individual are not independent. There are several ways of analyzing longitudinal data when different treatments are com- pared. Multilevel models are used to analyze data that are clustered in some way. In this work, multilevel models are used to analyze longitudinal data from a case study. Results from other more commonly used methods are compared to multilevel models. Also, comparison in output between two software, SAS and R, is done. Finally a method consisting of fitting individual models for each ...
Applications Of Discrete Mathematics For Understanding Dynamics Of Synapses And Networks In Neuroscience, 2016 University of Nebraska - Lincoln
Applications Of Discrete Mathematics For Understanding Dynamics Of Synapses And Networks In Neuroscience, Caitlyn Parmelee
Dissertations, Theses, and Student Research Papers in Mathematics
Mathematical modeling has broad applications in neuroscience whether we are modeling the dynamics of a single synapse or the dynamics of an entire network of neurons. In Part I, we model vesicle replenishment and release at the photoreceptor synapse to better understand how visual information is processed. In Part II, we explore a simple model of neural networks with the goal of discovering how network structure shapes the behavior of the network.
Vision plays an important role in how we interact with our environments. To fully understand how visual information is processed requires an understanding of the way signals are ...
An Algorithm For The Machine Calculation Of Minimal Paths, 2016 East Tennessee State University
An Algorithm For The Machine Calculation Of Minimal Paths, Robert Whitinger
Electronic Theses and Dissertations
Problems involving the minimization of functionals date back to antiquity. The mathematics of the calculus of variations has provided a framework for the analytical solution of a limited class of such problems. This paper describes a numerical approximation technique for obtaining machine solutions to minimal path problems. It is shown that this technique is applicable not only to the common case of finding geodesics on parameterized surfaces in R3, but also to the general case of finding minimal functionals on hypersurfaces in Rn associated with an arbitrary metric.
Newsvendor Models With Monte Carlo Sampling, 2016 East Tennessee State University
Newsvendor Models With Monte Carlo Sampling, Ijeoma W. Ekwegh
Electronic Theses and Dissertations
Newsvendor Models with Monte Carlo Sampling by Ijeoma Winifred Ekwegh The newsvendor model is used in solving inventory problems in which demand is random. In this thesis, we will focus on a method of using Monte Carlo sampling to estimate the order quantity that will either maximizes revenue or minimizes cost given that demand is uncertain. Given data, the Monte Carlo approach will be used in sampling data over scenarios and also estimating the probability density function. A bootstrapping process yields an empirical distribution for the order quantity that will maximize the expected profit. Finally, this method will be used ...
Hybrid Chebyshev Polynomial Scheme For The Numerical Solution Of Partial Differential Equations, 2016 University of Southern Mississippi
Hybrid Chebyshev Polynomial Scheme For The Numerical Solution Of Partial Differential Equations, Balaram Khatri Ghimire
In the numerical solution of partial differential equations (PDEs), it is common to find situations where the best choice is to use more than one method to arrive at an accurate solution. In this dissertation, hybrid Chebyshev polynomial scheme (HCPS) is proposed which is applied in two-step approach and one-step approach. In the two-step approach, first, Chebyshev polynomials are used to approximate a particular solution of a PDE. Chebyshev nodes which are the roots of Chebyshev polynomials are used in the polynomial interpolation due to its spectral convergence. Then, the resulting homogeneous equation is solved by boundary type methods including ...
The Greatest Integer Function, 2016 Claremont Colleges
The Greatest Integer Function, Alanna Rae
Journal of Humanistic Mathematics
No abstract provided.
Octahedral Dice, 2016 Butler University
Octahedral Dice, Todd Estroff, Jeremiah Farrell
Jeremiah Farrell
All five Platonic solids have been used as random number generators in games involving chance with the cube being the most popular. Martin Gardenr, in his article on dice (MG 1977) remarks: "Why cubical?... It is the easiest to make, its six sides accomodate a set of numbers neither too large nor too small, and it rolls easily enough but not too easily."
Gardner adds that the octahedron has been the next most popular as a randomizer. We offer here several problems and games using octahedral dice. The first two are extensions from Gardner's article. All answers will be ...
The Most-Perfect 4*4 Puzzle Game, 2016 Butler University
The Most-Perfect 4*4 Puzzle Game, Jeremiah Farrell, Karen Farrell
Jeremiah Farrell
Draft of the 'Solution Page' for Jeremiah's puzzle "The Most Perfect 4*4 Puzzle Game", which was exchanged at the 2014 London International Puzzle Party. 100 puzzle designers create 100 copies of their puzzle and pass it out at the party and exhange them. Includes e-mail correspondence with editor of the book.
Seven Roads To Roam: A Magical Journey, 2016 Butler University
Seven Roads To Roam: A Magical Journey, Jeremiah Farrell, Judith H. Morrel
Jeremiah Farrell
Farrell and Morrel's contribution to "Homage to a Pied Puzzler"
Related Works:
See "The ASTEROID Puzzle and Games" online at:
The Magic Octagon, 2016 Butler University
The Magic Octagon, Jeremiah Farrell, Tom Rodgers
Jeremiah Farrell
The black nodes mark the corners of an octagon and each of these nodes in connected to four others by lines. The (rather hard) puzzle is to assign the sixteen numbers 0 through 15 to each of the sixteen lines so that each black node has a sum of 30 when the line numbers leading into it are added.
The word version of the puzzle was described in the article "Most-Perfect Word Magic", Oscar Thumpbindle, Word Ways Vol. 40(4). Nov. 2007.
Some Curious Cut-Ups, 2016 Butler University
Some Curious Cut-Ups, Jeremiah Farrell, Ivan Moscovich
Jeremiah Farrell
We have noticed a certain kind of n-gon dissection into triangles that has a wonderful property of interest to most puzzlists. Namely that any two triangles have at least one edge in common yet no two triangles need be congruent. In an informal poll of specialists at a recent convention, none of them saw immediately how this could be accomplished. But in fact it is very straightforward.
Farrell's Spider, 2016 Butler University
Farrell's Spider, Jeremiah Farrell, Ivan Moscovich
Jeremiah Farrell
Puzzle game featured in Ivan Moscovich's magnetic puzzle pack:
Place the 18 discs on the web so that the sum of the numbers on each of the three hexagons and on each of the three ribs equals 57.
Development Of Utility Theory And Utility Paradoxes, 2016 Lawrence University
Development Of Utility Theory And Utility Paradoxes, Timothy E. Dahlstrom
Lawrence University Honors Projects
Since the pioneering work of von Neumann and Morgenstern in 1944 there have been many developments in Expected Utility theory. In order to explain decision making behavior economists have created increasingly broad and complex models of utility theory. This paper seeks to describe various utility models, how they model choices among ambiguous and lottery type situations, and how they respond to the Ellsberg and Allais paradoxes. This paper also attempts to communicate the historical development of utility models and provide a fresh perspective on the development of utility models.
Realizing Tournaments As Models For K-Majority Voting, 2016 California State University - San Bernardino
Realizing Tournaments As Models For K-Majority Voting, Gina Marie Cheney
Electronic Theses, Projects, and Dissertations
A k-majority tournament is a directed graph that models a k-majority voting scenario, which is realized by 2k - 1 rankings, called linear orderings, of the vertices in the tournament. Every k-majority voting scenario can be modeled by a tournament, but not every tournament is a model for a k-majority voting scenario. In this thesis we show that all acyclic tournaments can be realized as 2-majority tournaments. Further, we develop methods to realize certain quadratic residue tournaments as k-majority tournaments. Thus, each tournament within these classes of tournaments is a model for a k-majority ...
A Dual Fano, And Dual Non-Fano Matroidal Network, 2016 California State University - San Bernardino
A Dual Fano, And Dual Non-Fano Matroidal Network, Stephen Lee Johnson
Electronic Theses, Projects, and Dissertations
Matroidal networks are useful tools in furthering research in network coding. They have been used to show the limitations of linear coding solutions. In this paper we examine the basic information on network coding and matroid theory. We then go over the method of creating matroidal networks. Finally we construct matroidal networks from the dual of the fano matroid and the dual of the non-fano matroid, and breifly discuss some coding solutions.
The Evolution Of Cryptology, 2016 California State University - San Bernardino
The Evolution Of Cryptology, Gwendolyn Rae Souza
Electronic Theses, Projects, and Dissertations
We live in an age when our most private information is becoming exceedingly difficult to keep private. Cryptology allows for the creation of encryptive barriers that protect this information. Though the information is protected, it is not entirely inaccessible. A recipient may be able to access the information by decoding the message. This possible threat has encouraged cryptologists to evolve and complicate their encrypting methods so that future information can remain safe and become more difficult to decode. There are various methods of encryption that demonstrate how cryptology continues to evolve through time. These methods revolve around different areas of ...
The Kauffman Bracket And Genus Of Alternating Links, 2016 California State University, San Bernardino
The Kauffman Bracket And Genus Of Alternating Links, Bryan M. Nguyen
Electronic Theses, Projects, and Dissertations
Giving a knot, there are three rules to help us finding the Kauffman bracket polynomial. Choosing knot's orientation, then applying the Seifert algorithm to find the Euler characteristic and genus of its surface. Finally finding the relationship of the Kauffman bracket polynomial and the genus of the alternating links is the main goal of this paper.
Math And Sudoku: Exploring Sudoku Boards Through Graph Theory, Group Theory, And Combinatorics, 2016 Portland State University
Math And Sudoku: Exploring Sudoku Boards Through Graph Theory, Group Theory, And Combinatorics, Kyle Oddson
Student Research Symposium
Encoding Sudoku puzzles as partially colored graphs, we state and prove Akman's theorem [1] regarding the associated partial chromatic polynomial [5]; we count the 4x4 sudoku boards, in total and fundamentally distinct; we count the diagonally distinct 4x4 sudoku boards; and we classify and enumerate the different structure types of 4x4 boards.


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What makes a church successful?
August 30, 2016
Karl Vaters talks about what makes a church successful.
- Audio
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Susie Larson's vision for Live the Promise is to offer a show rich in content and Biblically grounded. We hope to encourage and strengthen your faith as we engage in conversations that bring Scripture to life, offer practical ways to live out our convictions, and hear stories that inspire us to hang on when life is hard. Part of what makes this show unique is the opportunity to share your thoughts and insights with us. We value what you have to say! There are several ways you can contribute to the show:
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August 30, 2016
Karl Vaters talks about what makes a church successful.
August 29, 2016
Why does God sometimes make us wait so long?


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World Wide Study Bible
a Bible passage
2. Favoritism Forbidden
1My brethren, hold not the faith of our Lord Jesus Christ, the Lord of glory, with respect of persons. 2For if there come into your synagogue a man with a gold ring, in fine clothing, and there come in also a poor man in vile clothing; 3and ye have regard to him that weareth the fine clothing, and say, Sit thou here in a good place; and ye say to the poor man, Stand thou there, or sit under my footstool; 4Do ye not make distinctions among yourselves, and become judges with evil thoughts? 5Hearken, my beloved brethren; did not God choose them that are poor as to the world to be rich in faith, and heirs of the kingdom which he promised to them that love him? 6But ye have dishonored the poor man. Do not the rich oppress you, and themselves drag you before the judgment-seats? 7Do not they blaspheme the honorable name by which ye are called? 8Howbeit if ye fulfil the royal law, according to the scripture, Thou shalt love thy neighbor as thyself, ye do well: 9but if ye have respect of persons, ye commit sin, being convicted by the law as transgressors. 10For whosoever shall keep the whole law, and yet stumble in one point, he is become guilty of all. 11For he that said, Do not commit adultery, said also, Do not kill. Now if thou dost not commit adultery, but killest, thou art become a transgressor of the law. 12So speak ye, and so do, as men that are to be judged by a law of liberty. 13For judgment is without mercy to him that hath showed no mercy: mercy glorieth against judgment. 14What doth it profit, my brethren, if a man say he hath faith, but have not works? can that faith save him? 15If a brother or sister be naked and in lack of daily food, 16and one of you say unto them, Go in peace, be ye warmed and filled; and yet ye give them not the things needful to the body; what doth it profit? 17Even so faith, if it have not works, is dead in itself. 18Yea, a man will say, Thou hast faith, and I have works: show me thy faith apart from thy works, and I by my works will show thee my faith. 19Thou believest that God is one; thou doest well: the demons also believe, and shudder. 20But wilt thou know, O vain man, that faith apart from works is barren? 21Was not Abraham our father justified by works, in that he offered up Isaac his son upon the altar? 22Thou seest that faith wrought with his works, and by works was faith made perfect; 23and the scripture was fulfilled which saith, And Abraham believed God, and it was reckoned unto him for righteousness; and he was called the friend of God. 24Ye see that by works a man is justified, and not only by faith. 25And in like manner was not also Rahab the harlot justified by works, in that she received the messengers, and sent them out another way? 26For as the body apart from the spirit is dead, even so faith apart from works is dead.
Verses 1–13
Those who profess faith in Christ as the Lord of glory, must not respect persons on account of mere outward circumstances and appearances, in a manner not agreeing with their profession of being disciples of the lowly Jesus. St. James does not here encourage rudeness or disorder: civil respect must be paid; but never such as to influence the proceedings of Christians in disposing of the offices of the church of Christ, or in passing the censures of the church, or in any matter of religion. Questioning ourselves is of great use in every part of the holy life. Let us be more frequent in this, and in every thing take occasion to discourse with our souls. As places of worship cannot be built or maintained without expense, it may be proper that those who contribute thereto should be accommodated accordingly; but were all persons more spiritually-minded, the poor would be treated with more attention that usually is the case in worshipping congregations. A lowly state is most favourable for inward peace and for growth in holiness. God would give to all believers riches and honours of this world, if these would do them good, seeing that he has chosen them to be rich in faith, and made them heirs of his kingdom, which he promised to bestow on all who love him. Consider how often riches lead to vice and mischief, and what great reproaches are thrown upon God and religion, by men of wealth, power, and worldly greatness; and it will make this sin appear very sinful and foolish. The Scripture gives as a law, to love our neighbour as ourselves. This law is a royal law, it comes from the King of kings; and if Christians act unjustly, they are convicted by the law as transgressors. To think that our good deeds will atone for our bad deeds, plainly puts us upon looking for another atonement. According to the covenant of works, one breach of any one command brings a man under condemnation, from which no obedience, past, present, or future, can deliver him. This shows us the happiness of those that are in Christ. We may serve him without slavish fear. God's restraints are not a bondage, but our own corruptions are so. The doom passed upon impenitent sinners at last, will be judgment without mercy. But God deems it his glory and joy, to pardon and bless those who might justly be condemned at his tribunal; and his grace teaches those who partake of his mercy, to copy it in their conduct.


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It's not unusual to throw rice at the married couple, but can you do it in real life? Here are some timeless traditions that don't seem to translate to the real world.
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would love to hear some feedback on my proposed trip to Ireland. I've been there before so i'm just taking a few days to drive Dingle and Ring of Kerry.
Landing in Shannon airport from London (spending first part of trip in England) , pick up a car there on the 17th and make our way to TRALEE which seems to be the beginning of the route around DINGLE. I thought maybe we could stop for tea at ADARE since it's supposed to be a lovely village and has a beautiful castle then do the hour or so drive to Tralee, stay over night there or in area-
On 18th, get up early and spend the entire day driving around Dingle Peninsula. Curious if there are any cute villages along that route we shouldn't miss!
Seems like we might want to spend the night (Sept 18th) somewhere at the end of this long stretch somewhere near CASTLEMAINE or KILLORGLIN which can get us ready for the next morning's start on RING OF KERRY.
Would love recommends for places to stay around the area here.
On 19th, we would follow the coast line around Ring of Kerry
On the route of Ring of Kerry from Killorgin we can stop in Portmagee and take a boat across to SKELLIG MICHAEL which sounds amazing with old monastery on it! It's a half day trip so we would come back spend night (Sept 19) along the Ring and then drive to end in Kenmare...
Would love recommends here as well.
then morning of 20th, we can maybe turn up and drive through the supposedly spectacular scenery to Kilarney, maybe drop the car off there and take train back to Dublin on 20th?
As for places to stay, I'm always looking for places with character/charm. I've stayed in a variety of castles in the past and I would love to stay in one again if there is something close by this region that isn't overly commercialized (i.e. boring hotel rooms and busloads of people)...Would like something more intimate if that's possible. Otherwise totally open to b&b's. Anything with charm and feels like another time is always my preference- doesn't have to be slick/modern/new.
Would love to hear if this itinerary sounds reasonable and if any of you can recommend some places!
thanks in advance!
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Suggestions for itinerary/places to stay along DINGLE/RING OF KERRY
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Unless you are going to spend some time in Dublin, why not fly out of Shannon?
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Ballyseede Castle Tralee might be an option. Remember the boats to Skellig are small weather dependant and leave at around 10am getting back around 4pm. You want to be closer than Killorglin to avoid a real early start. Adare is chocolate box / biscuit tin pretty, geared to US tourists but nice enough in a Cotswolds way. Abbey Court or Tara Farm would be good B&B options in Kenmare.
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If you want to be close to Portmagee for the Skellig Michael trip, look at the Beach Cove B&B in Ballinskellig. Also, another vote for the Abbey Court B&B in Kenmare.
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Hi all,
I have use this forum as one of my resources in many occasions for my past travels in and out of the United States. Recently, I have been planning an early May trip to the places stated in the title, and I am having difficulty to make it perfect. The exact plan is to fly into Rapid City, SD on 5/5/2013, and we are going to rent a car and fly off from Jackson Hole on 5/12. So..I realize that is very little time to see so many places, but my parents only have so many days so I am trying to bring them to the 'best' places these places have to offer in such short time. Also, there are going to be 4 of us, my parents are both 50 and my sister and I are in our 20s. This is what I have planned for now...
5/5 - Get in at RAP at around noon. We will probably grab a quick lunch around Rapid City, go to the Journey Museum, and then head straight to Mt. Rushmore and do the presidential trail. Stay at Keystone.
5/6 - Drive through iron mountain rd, needles hwy, go to jewel cave for one of their tours, crazy horse. I am hoping to squeeze custer state park here, or maybe do the jeep tour and cookout they have to offer at one of their resorts. Stay at Keystone
5/7 - Drive to spearfish canyon, and hikek the devil's bathtub. Then drive to devil's tower to tour around for a bit. Finally hit straight to Cody, Wy. Stay at Cody.
5/8 - Go to Buffalo Bill first thing in the morning. And head to Yellowstone.
My problem starts here, because there are too many things to see at YNP and Grand Teton, I am not sure how to allocate them into 4 days. I might be able to squeeze in something on 5/12 depending on what time I book my flight out of Jackson Hole. Also, suggestions for lodges would be appreciated too. We are open to hiking, but maybe the short ones with some scenery at the end of the hike.
Thank you all in advance!
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Family Trip of 4 to Mt. Rushmore/Yellowstone/Grand Teton
Hi all,
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Don't think all of the roads and lodges will be open at that early date. I don't know what kind of snow they have received so far.
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Check www.nps.gov/yell to see what roads and areas of Yellowstone will be open in early May.
Lee Ann
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|Publication number
|Publication type
|Application number
|Publication date
|Sep 3, 1996
|Filing date
|Dec 30, 1994
|Priority date
|Dec 30, 1994
|Fee status
|Also published as
|Publication number
|Randall V. Redd, Paul W. Bacon
|Original Assignee
|Environmental Packing L.P.
|Export Citation
|BiBTeX, EndNote, RefMan
|Patent Citations (5), Non-Patent Citations (2), Referenced by (15), Classifications (25), Legal Events (8)
|External Links: USPTO, USPTO Assignment, Espacenet
The invention is directed to a starch and polymer composition having improved extrusion properties, especially when it used to form loose-fill packing, and to a method for making such compositions.
Expanded packing products, which are resilient polymeric foams, enjoy widespread use as packing materials. Of these, polystyrene has been predominant, not only because of its strength and stability, but in large part because of its very low cost. However, polystyrene foams have the serious disadvantage that they are not degradable under the environmental conditions that prevail in compost heaps, landfills and other common disposal routes for such materials.
As a result of increasing concerns with the ecological impact of disposing of such packing materials, particularly the utilization of landfills, considerable attention has been paid in recent years to the use of starch-polymer mixtures as a substitute for synthetic polymers in polymeric foam packing materials. Starches and many of their derivatives, of course, have the advantage that they are biodegradable. Polymers are used in a minor amount with the starch to increase stability, stiffness, elasticity, etc., of the packing foam. However, the amount of synthetic polymer, even if it is not itself degradable, is sufficiently low so that it is does not interfere substantially with the degradability of the starch.
In the manufacture of foams for packing applications using starch as the polymer base, the starch is admixed with a minor amount of synthetic polymer and water to form an aqueous starch-polymer powder mixture, which is then extruded to form various shapes such as spheres, pellets or "peanuts."
The manufacture of extruded foam shapes in the above-described manner has proved to be troublesome because it has been found to be difficult to achieve uniform moisture content, which is vital to the method, and also to achieve consistent feed properties. In addition, the extruder feed made in this manner tends to plug the extruder, which necessitates shutting down and cleaning the unit before production can be resumed.
The equipment for this mode of operation is expensive and requires a higher level of operating skill to achieve reliability. Furthermore, the process is energy intensive and requires an extra operational step (drying).
In a variation of this process, starch and polymer are heated and mixed prior to the addition of water. The still dry admixture is then mixed with water and degassed under vacuum, after which it is fed continuously into a single or twin screw extruder to form pellets. The material is shipped in pellet form. The loose fill manufacturer then feeds the pellets to a second extruder in which the pellets are remelted and extruded into the various product shapes. (See Werner and Pfleiderer, GmbH brochure No. 05 140/1-2.0-X.92 KODO, entitled "Processing: Plastics Recycling.")
It has been found that this second method overcomes most of the disadvantages of the first-described method. However, it is more expensive both because of the increased number of steps in the method and in the higher cost of the equipment. Therefore, there is considerable need for a method of producing such foamed starch-polymer mixtures which is both easier and less expensive to operate.
U.S. Pat. No. 4,863,655, Lacourse et al., discloses a biodegradable packing material comprising an expanded high amylose starch prepared by extruding the starch in the presence of moisture. The inclusion of various synthetic polymers to improve strength, flexibility, resiliency and water resistance is disclosed.
U.S. Pat. No. 5,095,054 to Lay et al. is directed to the manufacture of shaped articles by extruding a material comprising a destructurized starch and any of several classes of organic polymers and copolymers such as modified polysaccharides, poly(vinyl pyrrolidone), cationic and anionic starches, poly(vinyl acetate) polymers and copolymers and the like.
U.S. Pat. No. 5,208,267 to Neumann et al. is directed to a method for making a starch product suitable as a packing filler comprising extruding a mixture of starch and poly(alkylene glycol) and optionally poly(vinyl alcohol) and a bubble nucleating agent.
In a first aspect, the invention is directed to a method for improving the extrusion characteristics of mixtures of starch and polymers comprising the sequential steps:
(1) admixing finely divided particles of starch and polymer with a minor amount of water, the amount of water being such that the admixture is maintained in powder configuration;
(2) forming a hard shaped form of the starch and polymer admixture by subjecting the admixture to de-aeration and compaction;
(3) milling the hard shaped form of starch and polymer admixture and classifying the particles therefrom to separate a quantity of the milled admixture in granular form having a particle size of 250-3500 micrometers and an average particle size of 600-1700 micrometers from the oversized particles and fines; and
(4) admixing a lubricating compound with the separated particles having a particle size of 250-3500 micrometers to effect coating of the particles while maintaining the particles in granular configuration.
Preferably, the fines from step (3) are recycled to the feed inlet of the compactor and the oversized particles are recycled to the granulator.
In a second aspect, the invention is directed to an extrudable composition comprising granules of a de-aerated and compacted admixture of finely divided starch and polymer particles with water.
The drawing consists of a single figure which is a block flow diagram showing the steps of the method of the invention.
A. Starch:
Virtually any kind of natural starch is suitable for the practice of the invention. For example corn, wheat, potato, rice, milo, tapioca, arrowroot and sago starches are all suitable. In general, corn, wheat and potato starch are preferred, of which potato and wheat starch are still further preferred. Modified starches, such as cationic starch, are also suitable.
As used herein, the term "modified" refers to starches which have been derivatized or modified by processes such as esterification, oxidation, acid hydrolysis, cross-linking and enzyme conversion. Typically, modified starches include esters, such as the acetate and half-esters of dicarboxylic, starches oxidized with hypochlorite, starches reacted with crosslinking agents, etc.
Unlike many prior art processes, it is not necessary that the starch, whether natural or modified, be gelatinized. In fact, it is preferred that the starch not be gelatinized for the reason that it adds substantially to the energy load of the process without yielding any advantage in properties over the product derived from the non-gelatinized starch feed.
It will be recognized by those skilled in the handling of starch and starch derivatives that they in most instances contain a small amount of water, which may be as high as 25% by weight of the moist starch. In the formulation of the starches used in the invention, the amount of starch is calculated on a dry basis and the water is calculated separately, whether it is included in the starch or whether it is separately added. (See Section D below.)
B. Polymer:
In the manufacture of foamed starch-polymer mixtures, a wide variety of both natural and synthetic thermoplastic polymers can be used, such as those disclosed in the above-referred Lay et al. patent. As taught by Lay et al., minor amounts of either water-soluble or water-insoluble polymers as well as mixtures can be used. The selection of particular polymers is dependent upon the physical properties sought for the extruded product and the interactions of the starch with the polymer. Polymers preferred for use in the compositions of the invention include poly(vinyl acetate), ethylene-vinyl alcohol copolymer, poly(caprolactone) and polylactides. An especially useful material is a mixture of poly(vinyl acetate) and poly(vinyl alcohol). As mentioned hereinabove, polymers are added to adjust the resilience, stiffness and elasticity of the extruded foam product.
C. Lubricating Agent:
Preferred lubricating agents are hydrogenated vegetable oils or fatty acids and salts thereof, mono- and di-glycerides, stearates of aluminum, calcium, magnesium and tin as well as talc, silicones, glycerides, phospholipides and the like. The amount of lubricant coated on the classified granules must be at least 0.1% by weight in order to obtain any significant technical effect. But more than 5% is detrimental because the coated particles become too slippery and do not undergo sufficient compression in the extruder. From 0.5 to 1.0% lubricant is preferred.
D. Other Components:
The compositions of the invention will ordinarily contain secondary additives such as flame retardants, stabilizers, anti-oxidants, foaming agents, nucleating agents, humectants, hydrophilic polymers, fillers, coloring agents, rheology control agents and the like. As indicated hereinabove, the granular compositions of the invention also contain a coating of lubricant. However, it is essential that this coating be applied on the particles after granulation and not premixed with the starch. Thus, the recycled fines and coarse particles separated after granulation are not coated with lubricant. The compositions of the invention will ordinarily contain no more than 5% by weight, basis total admixture, of any of such secondary additives and preferably no more than a total of 10% of such additives lest the additives adversely affect the physical properties of the foamed starch-polymer mixture.
D. Formulation:
In the following discussion of the formulation of the product of the invention, component proportions are all given on the basis of the total weight of the admixture.
The basic compositions of the invention are comprised of 40-90% starch, 0-30% polymer and 1-30% water.
Polymers, whether water soluble or insoluble, are not always needed in the compositions of the invention. In some instances the physical properties of the starch are by themselves adequate and do not require augmentation with other polymers. However, when it is desired to augment the properties of the starch, at least 1% polymer is needed in order to obtain any significant technical effect of the polymer, which is to adjust the physical properties of the foamed admixture. In particular, the polymer is usually needed to obtain adequate rigidity, resilience and density control of the extruded product. However, more than 30% by weight polymer is to be avoided so that the above-referred physical properties of the extruded foamed product are not changed excessively. From 10-30% polymer is preferred, 15-20% being particularly preferred.
At least 10% water is needed in the composition to assure adequate foam formation during extrusion. More often, at least 15% is needed and at least 16% is preferred. In no event should the total amount of water, including any moisture that may be contained in the starch, exceed 30% lest the composition become sticky and doughlike. It is preferred that the amount of water not exceed 20% and preferably still no more than 18%. In all cases, the water content of the formulation must be sufficiently low that the admixture is retained in the form of flowable discrete particles.
Starch is, of course, the major component of the invention composition and comprises 40-90% thereof, basis dry starch. It will, however, ordinarily be preferred that the composition contain at least 60% starch.
E. Processing:
De-aeration and compacting of the aqueous starch-polymer powder mixture is carried out in a pressure compaction device such as a molding or tabletting press or, preferably, a roll press (roll-compactor). The compacted admixture is converted into the form of a solid sheet, eggs, pillows, spheres or tear drops, depending on the configuration of the press or rolls.
The preferred apparatus used in carrying out the method of the invention is a roll compactor in which the formulated aqueous powder is forced between two counter rotating rolls. As the volume of the powder decreases through the region of maximum pressure between the rolls, the mixture is formed into a solid compact shape. Various roll surfaces are available by which the texture and configuration of the product can be altered in order to adapt to the physical properties of the feed mixture. Two basic types of roll configurations are available: (1) smooth or circumferential corrugations and pocket indentations or (2) corrugations in-the axial direction across the width of the roll. For the purposes of the invention, it is preferred that the compacted product be in the form of a sheet because it is most easily granulated in that form. Nevertheless, pellets and other shapes can also be used.
The granulation operation of the above-described hard product form is carried out by the use of conventional grinding equipment. Impact breakers such as hammer crushers, rotor impactors, pulverizers, disintegrators and the like are each suitable for this step in the method of the invention. Particularly preferred equipment for use in the invention are Chilsonator� compaction/granulation systems manufactured by the Fitzpatrick Company, Elmhurst, Ill. These systems combine the compaction, granulation and classification functions into an integrated System. It is essential that the sheet material produced in the roll compactor be reduced in size to a particle distribution suitable for extrusion. It is preferred that the granulated particles be within the range of 250-3500 micrometers and have an average particle size of 600-1700 micrometers.
Turning now to the Drawing, a preferred mode of the invention is illustrated in which water and finely divided particles of starch and polymer are introduced via lines 1, 3 and 5, respectively, into mixer 100 in which they are formed into a uniform admixture which is still in the form of finely divided particles. The admixture of finely divided particles is introduced through line 7 into the feed inlet of roll compactor 300 in which the admixture is deaerated and compacted into sheet form. The compacted sheet is then passed from the roll compactor through line 9 into granulator 500 in which the compacted sheet is reduced in particle size to form granules. The size-reduced sheet contains oversized particles and fines, as well as particles falling within the range of 250-3500 micrometers. This mixture of particles is then passed from the granulator via line 11 to screener 700 in which the oversized particles and fines are separated from the properly sized product particles. The oversized particles are recycled from the screener via line 13 to the feed inlet of granulator 500 and the fines are recycled via line 17 to the feed inlet of the roll compactor 300 in which they are admixed with the aqueous starch/polymer feed mixture and subjected to de-aeration and compaction. Screened particles falling within the range of 250-3500 micrometers are removed from screener 700 through line 15 to mixer 900 in which they are mixed and coated with lubricant which has been introduced from storage through line 19. The maximum amount of lubricant is such that the admixture is maintained in granular form. The lubricant-coated product is then passed from the lubricant mixer through line 21 to storage as feed for subsequent extrusion or passed directly to an extrusion operation.
The components of the invention composition are easily formulated using low-shear mixing devices such as ribbon mixers. The order of mixing the solid components is not important. However, the water should be added last to the admixture of solids.
It is essential to the practice of the invention that the aqueous admixture of starch and polymer be compacted sufficiently. In particular, the compacted shapes emerging from the compactor should have a Stokes hardness of at least 1 kg in order that they do not fall apart and become powdery during transport and thus produce excessive amounts-of fines during granulation. It is essential that the amount of fines be minimized since powders in the presence of moisture tend to produce a sticky mass which clogs the nozzle end of the extruder. In general, it can be said that the amount of fines produced during granulation is an inverse function of the hardness of the compacted particles. It is therefore preferred that the compacted shapes have a Stokes hardness of at least 3 kg.
After compaction, the hard forms, whether they are sheets, spheres, pellets or other shape, must be subjected to size reduction to produce particles having a size of 250-3500 micrometers. They must be at least 250 micrometers in size so they avoid the disadvantageous properties of dust. On the other hand, the granulated particles must not exceed 3500 micrometers lest they become difficult to feed into the extruder due to an insufficient level of de-aeration between particles. Following compaction, the granulated particles are classified to separate the fines and oversized particles therefrom. Both the fines and oversized particles can be recycled. The fines are most advantageously recycled to the mixer in the first step of the method and thus reprocessed in admixture with the aqueous starch-polymer mixture. The oversized particles are preferably recycled to the inlet of the granulator in admixture with the unmilled hard shaped forms from the compactor. It is preferred that both recycles be conducted simultaneously.
The properly sized granular particles are then passed to a very low shear mixer in which they are mixed with a very small amount of lubricant compound. For the reasons set out hereinabove, at least 0.1% by weight lubricant is required to get any significant technical effect, but more than 1% should be avoided. A low shear mixer is preferred for the lubricant mixing step in order to avoid excessive breaking up of the sized granules and the formation of fines.
The method of the invention requires substantially less energy than the prior art processes for several reasons:
(1) it is not necessary to gelatinize the starch;
(2) it is not necessary to adjust the moisture content of the starch/polymer admixture; and
(3) less process energy is needed to form the product, e.g., by extrusion.
The invention will be better understood by reference to the following examples:
An admixture comprising starch and polymer was prepared by adding wheat starch to a Munson Mixer, after which poly(vinyl alcohol) and talc were added sequentially. While the components were added to the mixer, water was also added slowly to the mixer in order to obtain even wetting of the powder. The resulting admixture had very poor flow characteristics, was cake-like in consistency and had small lumps up to 1/8-inch in size. The composition of the admixture was as follows, basis weight of the aqueous admixture:
______________________________________Genvis wheat starch 67.5%(Archer Daniels Midland, Decatur, IL)Airvol 540 poly(vinyl alcohol) 17.3%(Air Products and Chemicals, Allentown, PA)Magnesium silicate 1.2%(Whittaker, Clark and Daniels, South Plainfield, NJ)Water 14.0%______________________________________
The above-described admixture was passed to the inlet of a Fitzpatrick granulation/compaction system having 7-inch by 10-inch compaction rolls. The admixture was compacted in sheet form and passed to an integrated hammer mill in which a size-reduced product was produced which passed through a 6 U.S. Standard mesh screen (mesh opening 3.4 mm) and was retained on a 18 U.S. Standard mesh screen (mesh opening 1 mm). The collected product had an average bulk density of 0.49 pounds per cubic foot and contained less than 6% wt. particles smaller than 30 mesh. The collected product was mixed with various proportions of stearic acid lubricating agent (0.1-1% wt.) and fed to a single-screw Maddox 650 Extruder (Maddox Metal Works, Dallas, Tex.). The foamed product from the extruder had a density of 0.58-0.9 pounds per cubic foot. Unlike uncompacted starch-polymer admixtures, the compacted admixture ran through the extruder very smoothly without any tendency toward plugging and produced a resilient foam which was very uniform in its physical properties. The foamed product was found to have fully equivalent physical properties to such foams prepared from pelletized starch-polymer admixtures.
The procedure of Example I was repeated using a similar compactor having 4-inch by 10-inch rolls to prepare a foamed admixture having the following composition by weight:
______________________________________Wheat starch 80.8%Poly(vinyl alcohol) 10.9%Magnesium silicate 1.4%Stearic acid (Emery Div., Henkel Corp.) 0.9%Iron oxide pigment 0.04%______________________________________
Water was added to the admixture to achieve a total water content of 18% wt., as measured by a Protimeter moisture analyzer. The above-described lubricant coated admixture was extruded over a wide range of pressures. All of the attempts made to compact these admixtures were unsuccessful.
|Cited Patent
|Filing date
|Publication date
|Dec 30, 1988
|Sep 5, 1989
|National Starch And Chemical Corporation
|Biodegradable packaging material and the method of preparation thereof
|Jun 18, 1990
|Mar 10, 1992
|Warner-Lambert Company
|Polymer compositions containing destructurized starch
|Jan 21, 1992
|May 4, 1993
|Univ Kansas State
|Starch-based, biodegradable packing filler and method of preparing same
|Apr 16, 1992
|Nov 30, 1993
|International Grain & Milling Company
|Biodegradable packing material and method
|Jan 29, 1993
|Jun 21, 1994
|The United States Of America As Represented By The Secretary Of The Army
|Method of producing biodegradable starch-based product from unprocessed raw materials
|Werner & Pfleiderer, Processing: Plastics Recycling, Plastics and Chemical Technology, 05 140/1 2.0 X.92 Kodo, Brochure.
|Werner & Pfleiderer, Processing: Plastics Recycling, Plastics and Chemical Technology, 05 140/1-2.0-X.92 Kodo, Brochure.
|Citing Patent
|Filing date
|Publication date
|Nov 2, 1998
|Oct 24, 2000
|Polymer Process Technologies, Inc.
|Rubber processing additive
|Oct 18, 1999
|May 29, 2001
|Great Lakes Chemical Corporation
|Vacuum de-aerated powdered polymer additives
|Aug 26, 1999
|Apr 11, 2006
|Pvaxx Research And Development Limited
|PVA-containing compositions
|Nov 16, 2004
|Oct 9, 2007
|Pvaxx Research & Development Limited
|PVA-containing compositions
|Mar 1, 2007
|Feb 24, 2009
|Plantic Technologies Ltd.
|Biodegradable polymer
|Jan 25, 2007
|Jun 7, 2011
|Novamont S.P.A.
|Biodegradable polymeric compositions comprising starch and a thermoplastic polymer
|Jul 19, 2005
|Aug 2, 2011
|The United States Of America, As Represented By The Secretary Of Agriculture
|Fiber-reinforced starch-based compositions and methods of manufacture and use
|Apr 2, 2013
|Novamont S.P.A.
|Biodegradable polymeric compositions comprising starch and a thermoplastic polymer
|Sep 7, 2001
|Aug 29, 2002
|Novozymes A/S
|Lubricated granules
|Nov 16, 2004
|Apr 28, 2005
|Stevens Henry G.
|PVA-containing compositions
|Jul 19, 2005
|Jan 25, 2007
|United States (as represented by the Secretary of Agriculture)
|Fiber-reinforced starch-based compositions and methods of manufacture and use
|Jan 25, 2007
|May 31, 2007
|Catia Bastioli
|Biodegradable polymeric compositions comprising starch and a thermoplastic polymer
|Mar 1, 2007
|Jun 28, 2007
|Plantic Technologies Ltd.
|Biodegradable Polymer
|May 28, 2008
|Apr 30, 2009
|Hagemann Ronald T
|Bio-Plastic Composite Material, Method of Making Same, And Method of Using Same
|Dec 11, 2007
|Apr 1, 2010
|Novamont S.P.A.
|Biodergradable composition having high mechanical characteristics
|U.S. Classification
|524/47, 524/313, 106/162.2, 106/215.4, 106/207.4, 524/322, 206/814, 106/207.5, 106/214.2, 524/312
|International Classification
|Cooperative Classification
|European Classification
|Feb 27, 1995
Owner name: ENVIRONMENTAL PACKING L.P., DELAWARE
Free format text: ASSIGNMENT OF ASSIGNORS INTEREST;ASSIGNORS:REDD, RANDALL VANN;BACON, PAUL WILLIAM;REEL/FRAME:007352/0699
Effective date: 19941221
|Sep 2, 1997
Owner name: FLEET CAPITAL CORPORATION, AS AGENT, NEW YORK
Free format text: SECURITY AGREEMENT;ASSIGNOR:ENVIRONMENTAL PACKING L.P.;REEL/FRAME:008683/0901
Effective date: 19970820
|Nov 12, 1998
Owner name: ENVIRONMENTAL PACKING L.P., BY NSC EP INVESTMENT H
Free format text: RELEASE OF SECURITY AGREEMENT;ASSIGNOR:FLEET CAPITAL CORPORATION;REEL/FRAME:009586/0099
Effective date: 19981102
|Jan 7, 2000
|Fee payment
Year of fee payment: 4
|Mar 1, 2004
|Fee payment
Year of fee payment: 8
|Mar 10, 2008
|Maintenance fee reminder mailed
|Sep 3, 2008
|Lapse for failure to pay maintenance fees
|Oct 21, 2008
|Expired due to failure to pay maintenance fee
Effective date: 20080903


text:
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