Euclidean Algorithm and Jug Filling (TANTON Mathematics) Given a 3-gallon jug and a 5-gallon jug, how does one obtain exactly one gallon of water? Jug Filling problems play a key role in the foundation of number theory, in particular, in proving the Fundamental Theorem of Arithmetic (all factor trees lead to the same set of primes). Here's a brief introduction to Euclid's continued brilliance on the topic of numbers. (More on the story is available at .)
Philosophy of Math Lecture 30- Non-Euclidean Geometry—History and Examples - Part 2 of 4 This is the Part 1 of the 30th Lecture from the series "Mathematics, Philosophy, and the 'Real World'". The entire course can be purchased here: www.teach12.com This was uploaded for my philosophy of math class to view online. This will be taken down at the end of the class.
Euclidean & Non-Euclidean Geometries Part 4: Axioms I bought twelve new markers thinking that I would use each of them for one video, and throw it away, so that I would always be writing with a nice, clear, legible black marker. So much for thinking. I may try chalk and a board next. For a list of the undefined terms, see Part 3. The following representations of axioms (or postulates) and definitions are flawed because typographical limitations prevent them from being displayed in a manner that mathematicians would approve. Suggestions welcome. EUCLID'S POSTULATE I. For every point P and for every point Q not equal to P there exists a unique line m that passes through P and Q. DEFINITION. Given two points A and B. The segment AB is the set whose members are the points A and B and all points that lie on the line AB and are between A and B. The two given points A and B are called the endpoints of the segment AB. EUCLID'S POSTULATE II. For every segment AB and for every segment CD there exists a unique point E such that B is between A and E and segment CD is congruent to segment BE. ("Any segment AB can be extended by a segment BE congruent to a given segment CD.") DEFINITION. Given two points O and A. The set of all points P such that segment OP is congruent to segment OA is called a circle with O as center, and each of the segments OP is called a radius of the circle. Continued in Part 5.
C++ Exercise 11 - Euclidean Algorithm for finding the GCF I show how to write a program to find the Greatest Common Factor using the Euclidean Algorithm. If you haven't watched my math video on the Euclidean Algorithm yet I highly recommend watching it. Math Euclidean Algorithm for the GCF
Euclidean Geometry - - 1000+ Online Math Lessons - - offers comprehensive help with Euclidean Geometry featuring a personal Geometry teacher inside every lesson!
Euclidean Algorithm A demonstration using the Euclidean Algorithm to determine integers x and y so that 853x + 199y = 15
Philosophy of Math Lecture 30- Non-Euclidean Geometry—History and Examples - Part 3 of 4 This is the Part 3 of the 30th Lecture from the series "Mathematics, Philosophy, and the 'Real World'". The entire course can be purchased here: www.teach12.com This was uploaded for my philosophy of math class to view online. This will be taken down at the end of the class.
FINDING THE (GCF) USING THE EUCLIDEAN ALGORITHM Using the Euclidean Algorithm (contnouos division in finding the GCF of a certain set of numbers.
Nexuiz - Euclidean FAIL (WarpZones) An example map using WarpZones in Nexuiz. Experimental code in branch div0/warpzones.
The Euclidean Algorithm Here is the Euclidean Algorithm! A great way to find the gcf/gcd of two numbers. Thank you, Euclid.
Obscura - Euclidean Elements Obscura - Euclidean Elements (Omnivium 2011) TrackList: 1. Septuagint 2. Vortex Omnivium 3. Ocean Gateways 4. Euclidean Elements 5. Prismal Dawn 6. Celestial Spheres 7. Velocity 8. A Transcendental Serenade 9. Aevum 10. Concerto (Bonus track) I do not own this song, rights belong to Relapse Records and Obscura. Do you want get album in better quality? Buy it at Relapse Records shop:
Non-Euclidean Geometry This video discusses elliptical and hyperbolic geometries. It may be interesting but only if you are a math nerd!
Some Non-Euclidean Geometry from Thinkwell Calculus - Preview Do you wish that Professor Burger was your teacher? Click the link to learn more about Thinkwell's Online Video Calculus Course.
Euclidean & Non-Euclidean Geometries Part 5: Axioms (Cont.) Continued from Part 4. I knock a glass candleholder off the shelf during the video, and the sound, while not very loud, might surprise you or your cat. I also knock something else off the ledge, but I don't remember what it was. EUCLID'S POSTULATE III. For every point O and every point A not equal to O there exists a circle with center O and radius OA. DEFINITION. The ray AB is the following set of points lying on the line AB: those points that belong to the segment AB and all points C such that B is between A and C. The ray AB is said to emanate from A and to be part of line AB. DEFINITION. Rays AB and AC are opposite if they are distinct, if they emanate from the same point A, and if they are part of the same line AB = AC. DEFINITION. An "angle with vertex A" is a point A together with two nonopposite rays AB and AC (called the sides of the angel) emanating from A. DEFINITION. If two angles BAD and CAD have a common side AD and the other two sides AB and AC form opposite rays, the angles are supplements of each other, or supplementary angles. DEFINITION. An angle BAD is a right angle if it has a supplementary angle to which it is congruent. EUCLID'S POSTULATE IV. All right angles are congruent to each other. DEFINITION. Two lines m and n are parallel if they do not intersect, ie, if no point lies on both of them. EUCLID'S POSTULATE V. (THE PARALLEL POSTULATE) For every line l (el) and for every point P that does not lie on l (el) there exists and unique line m through P ...
Euclidean Crisis Demo
DystopiaGround - Love for Sail - Euclidean Track #3 from the album "Euclidean" composed by "Kenji Ito", arranged by "Shinji Hosoe" and performed by "nao (former vocalist for fripSide)".
Non-Euclidean Level Design This is an old version. Please view the new version here:
Philosophy of Math Lecture 30- Non-Euclidean Geometry—History and Examples - Part 1 of 4 This is the Part 1 of the 30th Lecture from the series "Mathematics, Philosophy, and the 'Real World'". The entire course can be purchased here: www.teach12.com This was uploaded for my philosophy of math class to view online. This will be taken down at the end of the class.
Euclid's Division Lemma -Euclidean Lemma (Statement) in Real Numbers - for free videos & Practices of Euclid's Lemma - Euclidean Algorithm (NCERT). This Euclid's Lemma video introduces the statement given by Greek mathematician Euclid before 2300 years. Lemma means a proven statement that is used to prove another statement. Euclid's division lemma is nothing more than our traditional method of long division. Knowing long division method helps to understand the Euclid's statement lemma. I hope you understand here the Euclid's division Lemma later we will learn Euclidean Algorithm.
Some Non-Euclidean Geometry, from Thinkwell's Calculus Video Course Wish Professor Burger was your teacher or tutor? He can be! Click the link to learn more about Thinkwell's Online Video Calculus Course.
Euclidean & Non-Euclidean Geometries Part 1 This is a series of videos ostensibly about geometry; however, if you don't already know some geometry, you're unlikely to learn it here. The series was inspired by Prepoceros' video about differences between proving theories and theorems and some mind-boggling (to me) points I learned from a non-Euclidean geometry course many years ago. I am going to emphasize the roles of definitions and axions way way more than one might think necessary, considering that I am already assuming some knowledge on the part of the listeners. Trust me. Although I don't say so until Part 5, this is about plane geometry unless I explicity say otherwise, which I haven't done at least through Part 5. Don't look for any elegant proofs in these videos. The book that I am borrowing ideas, anecdotes and other stuff from is: Euclidean and Non-Euclidean Geometries: Development and History, Second Edition, by Marvin Jay Greenberg, published by WH Freeman and Company. Although it is not obvious, there is more than geometry to this book, and it is worth searching for.
OBJECT RECOGNITION USING EUCLIDEAN DISTANCE WITH KNN ALGORITHM.wmv OBJECT RECOGNITION USING EUCLIDEAN DISTANCE WITH KNN ALGORITHM
Nice subsets of Euclidean space: Part 1 Professor Zap gives the definitions of the unit disk, the unit cube and the unit sphere as subsets of n-dimensional space.
Abstract Non Euclidean Shapes Includes a R1 Wuerful and a Reuleaux Tetrahedron(i randomly animated some triangles and threw some color in and i named it after some software i saw at MicroCenter
Applications of non-Euclidean Geometry Professor David Gray of NEC talked about the applications of non-Euclidean Geometry
Euclidean & Non-Euclidean Geometries Part 3: Definitions In Part 2, I said that Part 3 would tell what the axioms of Euclidean geometry are. Instead, this is the first video entirely about definitions. There will be another later in the series, but not immediately. The undefined terms are: point line lie on between congruent
Euclidean & Non-Euclidean Geometries Part 2 How geometrical ideas originally were fashioned (without deductive logic), what the Greeks did to formalize geometry, and what some of our basic concepts will be. (Definitions, axioms or postulates, logic, theorems. Do they yield reality?) The two parallelograms that I drew don't use the same lengths for a and b. I also use the word equation when I really wish I had said formula. Hey, someone could take apart practically every sentence I said, but I just hope they are there when I get to the conclusion of the series to help me defend the big surprise. Because the board isn't clear, let me summarize here: EGYPTIANS: Definitions + Inspiration or experimentation = formulae which describe part of reality pertaining to interesting spacial relationships. GREEKS: Definitions + Minimal axioms + logic = Theorems Theorems + more logic = More theorems and a many more aspects of spacial relationships than can be empirically derived.
Number Theory- Greatest Common Divisor Euclidean tell me if any problems or errors as usual
Euclidean Space Lemmas Theorems Formulas Proofs PT 4-2.wmv Useful theorems proofs and concepts related to Euclidean Spaces of all dimensions. The angle between two functions from the Schwartz inequality. Functionals and Euclidean function spaces. When are orthogonal systems complete basis sets? How do you measure the dimension of a Euclidean Space? The Euclidean Isomorphism.
Euclidean Algorithm (TANTON_Mathematics) How do you find the greatest common factors of two numbers? Ask Euclid! Here we deomonstrate and explain the famous Euclidean algorithm.
Non-Euclidean Level Design v2 Version 2 of my non-euclidean level for America's Army. I only added one room in this version but the video is now HD. This is a level I've been working on for the PC game America's Army using the supplied level editor (a modified version of UnrealEd). The first section of the level is a 720 degree circle. It's basically a long hallway curled up into a double-circle-type shape, with the ends connected. Sorta like if you take a rubber band and double it up, except the whole band/hallway takes up the same small area. The second area is the impossibly long hallway. At first glance it appears that it's just a small room with column in the center. Upon further examination, however, the "hallway" connecting the back of the room is many times longer than could ACTUALLY fit there. Imagine it as "squishing" a hundred feet of hallway into a one-foot space. The third area is the room in a closet. The closet only appears to be a couple feet deep and wide, however the room inside it is about a hundred feet both ways. Now step into the closet. The room you just walked out of is now contained neatly in the same small area the closet originally occupied. The fourth area is a long hallway with a small closet at each end. Walking into one closet causes you to walk out of the opposite one. Think of it as a little shortcut. Try wrapping your head around these spaces! (By the way, this was done with UnrealEd's Zone Portals and WarpZoneInfo nodes. The level is comprised of a bunch of ...
Duke Nukem 3D - Tier Drops (secret level) Secret level of Episode 3, Shrapnel City, of Duke Nukem 3D. This is a very interesting level, it contains 4 area's that are letterly in each other. The level can be quite tough for a pistol start, but not too tough for me. Enjoy and subscribe, nl3paul3nl
Linear Spaces Metric Spaces Euclidean Spaces Hilbert Spaces Pt 1 A walk through of important mathematical spaces. Metric Spaces Normed Spaces Linear Spaces Euclidean Spaces
Is this Non-Euclidean Geometry? Michael Pestel & I made an installation entitled "Harps & Angles" together under the name of "Who is like God?s" that we also performed on as a part of the Pittsburgh Biennial at the PCA (Pittsburgh Center for the Arts) in 2003. The installation was too complex to describe in detail here but it involved 4 piano harps turned into table-tops. The footage here was shot by Michael as he experimented w/ playing on one of the harps. I then took the footage & digitally sped it up to produce the pixillated effect here. I was reading about Non-Euclidean Geometry at the time & found it amusing the way that the basic geometry of a cylinder & parallel lines in perspective were then reconfigured by digital distortion into a new geometry. Even though this probably has nothing to do w/ Non-Euclidean Geometry I thought the title was funny & decided to use it. - February 18, 2010 notes from tENTATIVELY, a cONVENIENCE
Finding the GCF using the Euclidean Algorithm Demonstrates how to find the Greatest Common Factor using the Euclidean Algorithm.
Euclidean space tesselated with cubes the Euclidean space is tesselated with cubes in the obvious way.
Philosophy of Math Lecture 30- Non-Euclidean Geometry—History and Examples - Part 4 of 4 This is the Part 4 of the 30th Lecture from the series "Mathematics, Philosophy, and the 'Real World'". The entire course can be purchased here: www.teach12.com This was uploaded for my philosophy of math class to view online. This will be taken down at the end of the class.
The Esgrey Project - Film_017 (Euclidean Space) trip hop
Beat Hacking With Euclidean Rhythms and Tonys Pulses Download the MIDI clip collection and Ableton Live Session File from here along with an explanation of Euclidean rhythms: The session file itself is just a container for several midi clips that make up the Euclidean Rhythms. MIDI files are also included if you use another host like ProTools, Cubase, Logic, Reason, or FL Studio. If you use it let me know! If you really like it, please consider making a small donation. Cheers
Nice subsets of Euclidean space: Part 2 Professor Zap describes the images of low dimensional spheres via stereographic projection. Meanwhile, his phone rings in the middle of the video. His son wanted to know a recipe for Tofu in tomato sauce.
Euclidean & Non-Euclidean Geometries Part 6 I really did mean that Vivaldi was a priest, not Corelli! The audio is correct on this point, and the overlaid text is wrong. The previous videos in this series can be found in this playlist: Prepoceros' video, "Can Theories be Proven," can be found at: DayfallKat's video, "Re: The Origin of Life - By Brett Keane," can be found at: There is another video, Part 7, which is the conclusion of this series for now, but which appears out of order in my listing of videos. It is in the playlist.
Euclidean vs Spherical Geometry Project for geometry, comparing Euclidean and Spherical Geometry