Curse of dimensionality
The curse of dimensionality refers to various phenomena that arise when analyzing and organizing data in high-dimensional spaces (often with hundreds or thousands of dimensions) that do not occur in low-dimensional settings such as the three-dimensional physical space of everyday experience. The term curse of dimensionality was coined by Richard E. Bellman when considering problems in dynamic optimization.[1][2] The "curse of dimensionality" depends on the algorithm[edit] The "curse of dimensionality" is not a problem of high-dimensional data, but a joint problem of the data and the algorithm being applied. It arises when the algorithm does not scale well to high-dimensional data, typically due to needing an amount of time or memory that is exponential in the number of dimensions of the data.
My Story: Experimenting With Message Passing Software Modules for Arduino Programming
I've been fascinated by the idea of being able to build software applications in a way similar to how electronic circuits are built using ICs. That is, by connecting discrete software components together via clearly defined communication pathways. I've begun to use the Arduino development platform to play around with ideas for implementing this type of component-based system. I'd like to see if it's possible to create useful Arduino-based applications this way.
Duality
From Wikipedia, the free encyclopedia Duality may refer to: Mathematics[edit]
Manifold
The surface of the Earth requires (at least) two charts to include every point. Here the globe is decomposed into charts around the North and South Poles. The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows more complicated structures to be described and understood in terms of the relatively well-understood properties of Euclidean space. Manifolds naturally arise as solution sets of systems of equations and as graphs of functions.
Playing Book « Tilt
In the past, when people spent their spare time reading a book, they read paper books. Nowadays though, people use computers, smart phones, or iPads to read during their spare time. However, electronic books cannot provide the analogue aesthetic which can be felt in a paper book. For example, people cannot feel the texture of the paper, they cannot turn the pages of a book or smell the different scents of paper.
Reality
Not to be confused with Realty. Philosophers, mathematicians, and other ancient and modern thinkers, such as Aristotle, Plato, Frege, Wittgenstein, and Russell, have made a distinction between thought corresponding to reality, coherent abstractions (thoughts of things that are imaginable but not real), and that which cannot even be rationally thought. By contrast existence is often restricted solely to that which has physical existence or has a direct basis in it in the way that thoughts do in the brain. Reality is often contrasted with what is imaginary, delusional, (only) in the mind, dreams, what is false, what is fictional, or what is abstract.
Vector space
Vector addition and scalar multiplication: a vector v (blue) is added to another vector w (red, upper illustration). Below, w is stretched by a factor of 2, yielding the sum v + 2w. An example of a vector space is that of Euclidean vectors, which may be used to represent physical quantities such as forces: any two forces (of the same type) can be added to yield a third, and the multiplication of a force vector by a real multiplier is another force vector. In the same vein, but in a more geometric sense, vectors representing displacements in the plane or in three-dimensional space also form vector spaces.
Touch Board
Buy Capacitive touch, distance sensing, MP3, MIDI & more on the Arduino-compatible Touch Board The Touch Board is a powerful prototyping tool which combines Arduino compatibility with robust capacitive touch, distance sensing, an MP3 Player, MIDI functionality and a LiPo battery charger.
MahaNakhon
History Details on the MahaNakhon development were officially announced on 23 July 2009, with a team including German architect Ole Scheeren, former partner of the design firm Office for Metropolitan Architecture; joint-venture development partners including Thai company Pace Development, David Collins Studio based in London and multinational Industrial Buildings Corporation PLC. In 2015 PACE Development bought the remaining shares belonging to former partner Industrial Buildings Corporation PLC, thus becoming the sole developer of the project.[3] The ground breaking ceremony was held on 20 June 2011, the building was topped off in 2015, and has been completed in 2016. The total project value as a result of pricing changes during the course of construction reached 21b THB (approximately $620m USD).[4]
