Cake-cutting

Moving-knife procedure

In the mathematics of social science, and especially game theory, a moving-knife procedure is a type of solution to the fair division problem. The canonical example is the division of a cake using a knife. The simplest example is a moving-knife equivalent of the I cut, you choose scheme, first described by A.K.Austin as a prelude to his own procedure: * One player moves the knife across the cake, conventionally from left to right. * The cake is cut when either player calls "stop". * If each player calls stop when he or she perceives the knife to be at the 50-50 point, then the first player to call stop will produce an envy-free division if the caller gets the left piece and the other player gets the right piece. (This procedure is not necessarily efficient.) Generalizing this scheme to more than two players cannot be done by a discrete procedure without sacrificing envy-freeness. Examples of moving-knife procedures include * The Stromquist moving-knives procedure * The Austin moving-knife procedures * The Levmore–Cook moving-knives procedure * The Robertson–Webb rotating-knife procedure * The Dubins–Spanier moving-knife procedure * The (Wikipedia).

Video thumbnail

Fair Division: The Moving Knife Method

This video explains and provides an example of the moving knife method. Site: http://mathispower4u.com

From playlist Fair Division

Video thumbnail

The Most Powerful Laser Metal Cutting Machines

Each of these machines, which have different models and techniques for metal cutting, impresses with features that surpass the others. How would you like to take a look at them together? A laser cutting machine is an automatic laser system with a CNC controller, which adopts CO2 or fiber l

From playlist Satisfying Machines

Video thumbnail

Shot Types Part 1

Sometimes a closeup works best, but other times you may want a wider-angle shot. You can experiment by moving closer and farther away from your subject, or by using your camera's zoom. We hope you enjoy! To learn more, check out our written lesson here: https://edu.gcfglobal.org/en/digita

From playlist Digital Photography

Video thumbnail

Web-cutting mechanism 2

This 4-bar linkage with an extended coupler can cut a yellow web at high speeds. The linkage is dimensioned to give the knife a velocity during cutting operation that is equal to the linear velocity of the web. Link for downloading Inventor files of this video: http://www.mediafire.com/dow

From playlist Mechanisms

Video thumbnail

Foot shearing machine 2

The blue slider carrying the red upper cutter is driven by a 6-bar mechanism. The sheet is clamped before sheared by a slider crank mechanism of brown eccentric shaft. The runway of the green slider is on the blue slider. The orange lower cutter is fixed to the machine base. The red upper

From playlist Mechanisms

Video thumbnail

8 laser cutting machines in action

Have you ever seen the laser cutting process in action? Watching it is mesmerizing and oddly satisfying as the lasers cut through the sturdiest of elements. In this video, we bring you some of the best, most exciting laser cutters out there including metal cutters, engravers, and fiber la

From playlist Radical Innovations

Video thumbnail

Simple Machines (4 of 7) Pulleys; Calculating the Amount of Work Done

For the pulley simple machine shows how to calculate the amount of work done when raising an object and why simple machines do not make your work easier! A simple machine is a mechanical device that changes the direction and the magnitude of a force. In general, they can be defined as th

From playlist Mechanics

Video thumbnail

Slider crank mechanism with satellite pulley

The diameter of the big pulley is double the one of the green pulley. The length of each crank = R The slider's stroke = 4R The belt should be toothed. It is possible to use chain drive instead of belt one. STEP files of this video: http://www.mediafire.com/file/frn0cmys8sedruy/SliderCrank

From playlist Mechanisms

Video thumbnail

Two operations with one slide using folded scales

This video gives a technique for computing any sequence of two multiplications/divisions, in any order, on a slide rule with a full set of folded scales (you need C/D/CI/CF/DF/CIF). This increases the accuracy of the result versus using the naive method of one setting per operation. I'm n

From playlist All Slide Rule Videos

Video thumbnail

Chainsaws and Childbirth

When you consider the history of the chainsaw you might imagine that its only connection to medicine would be the average of approximately 28,000 chainsaw injuries reported in the US annually. But you would be wrong. The shocking history of the mechanically driven cutting tool with teeth s

From playlist Medicine and History

Video thumbnail

Chef Tutorial | Chef Tutorial For Beginners | DevOps Chef Tutorial | DevOps Tools | Simplilearn

🔥DevOps Engineer Master Program (Discount Code: YTBE15): https://www.simplilearn.com/devops-engineer-masters-program-certification-training?utm_campaign=ChefTutorial-04oITjdLtho&utm_medium=DescriptionFF&utm_source=youtube 🔥Post Graduate Program In DevOps: https://www.simplilearn.com/pgp-d

From playlist DevOps Tools Tutorial Videos | Simplilearn🔥[2022 Updated]

Video thumbnail

Robot Surgeons are the Future of Medicine

Share on Facebook: http://on.fb.me/11mi0da DISCLAIMER: Surgical imagery depicted. Not for the easily squeamish! // Medical technology is getting weirder everyday -- in a good way. Robotic surgery and computer-assisted medicine are already doing amazing things right now -- just look at the

From playlist Stuff About Technology

Video thumbnail

Chef, Puppet And Ansible Full Course | Configuration Management DevOps Tools Explained | Simplilearn

🔥DevOps Engineer Master Program (Discount Code: YTBE15): https://www.simplilearn.com/devops-engineer-masters-program-certification-training?utm_campaign=PuppetChefAnsibleFullCourseJun9&utm_medium=Descriptionff&utm_source=youtube 🔥Post Graduate Program In DevOps: https://www.simplilearn.com

From playlist Simplilearn Live

Video thumbnail

O'Reilly Webcast: Michelin Starred Cooking with Chef at Etsy- Jon Cowie Part 2

This is a talk from Velocity Conference 2012 Michelin Starred Cooking with Chef at Etsy- Jon Cowie Part 2 This talk is designed for intermediate Chef users, who are comfortable with the building blocks of Chef such as roles, cookbooks, environments et al, and aims to equip them with idea

From playlist O'Reilly Webcasts 2

Video thumbnail

Gamma Knife® (Stereotactic Radiosurgery)

To license this video for patient education or content marketing, visit: http://www.nucleushealth.com/?utm_source=youtube&utm_medium=video-description&utm_campaign=gamma-092914 This 3D medical animation gives a brief overview of the Gamma Knife®, the types of conditions it treats and th

From playlist Nucleus Medical Animations in English

Video thumbnail

HOW IT WORKS: Old Typesetting Machines

Describes the operation of automatic type equipment.

From playlist HOW IT WORKS

Video thumbnail

Bob Ross - Winter Frost (Season 10 Episode 12)

Bob Ross fans! It’s ‘time’ for some happy trees, and we’ve got just what you need: https://pxlfy.me/BobRossWatchMightyMojoToys A cold mountain-scape, but Bob Ross adds a vibrant sun high in the sky, and your snowy paradise is warm and cozy. Season 10 of The Joy of Painting with Bob Ross

From playlist The Joy of Painting -- The Full Collection (Seasons 1 to 31) (in chronological order)

Video thumbnail

Folding door controlled by cable

The door consists of two slider-crank mechanisms. Driving parts are violet sliders that are brought into motion by a motor via a cable drive of two pink pulleys. Lower branch of the cable is fixed to the left slider. The upper branch is fixed to the right slider. Thanks to the eccentricit

From playlist Thang best animations

Related pages

Robertson–Webb rotating-knife procedure | Fair division | Mathematics | Game theory | Stromquist moving-knives procedure | Austin moving-knife procedures | Levmore–Cook moving-knives procedure