background preloader

Dimension (mathematics and physics)

Dimension (mathematics and physics)
A diagram showing the first four spatial dimensions. 1-D: Two points A and B can be connected to a line, giving a new line segment AB. 2-D: Two parallel line segments AB and CD can be connected to become a square, with the corners marked as ABCD. 3-D: Two parallel squares ABCD and EFGH can be connected to become a cube, with the corners marked as ABCDEFGH. 4-D: Two parallel cubes ABCDEFGH and IJKLMNOP can be connected to become a hypercube, with the corners marked as ABCDEFGHIJKLMNOP. In physical terms, dimension refers to the constituent structure of all space (cf. volume) and its position in time (perceived as a scalar dimension along the t-axis), as well as the spatial constitution of objects within—structures that correlate with both particle and field conceptions, interact according to relative properties of mass—and are fundamentally mathematical in description. The concept of dimension is not restricted to physical objects. A tesseract is an example of a four-dimensional object.

http://en.wikipedia.org/wiki/Dimension_(mathematics_and_physics)

Related:  Machine Learning

Correlation does not imply causation The counter assumption, that correlation proves causation, is considered a questionable cause logical fallacy in that two events occurring together are taken to have a cause-and-effect relationship. This fallacy is also known as cum hoc ergo propter hoc, Latin for "with this, therefore because of this", and "false cause". A similar fallacy, that an event that follows another was necessarily a consequence of the first event, is sometimes described as post hoc ergo propter hoc (Latin for "after this, therefore because of this"). As with any logical fallacy, identifying that the reasoning behind an argument is flawed does not imply that the resulting conclusion is false. In the instance above, if the trials had found that hormone replacement therapy caused a decrease in coronary heart disease, but not to the degree suggested by the epidemiological studies, the assumption of causality would have been correct, although the logic behind the assumption would still have been flawed. Usage[edit]

Depth = 3rd Dimension Three-dimensional Cartesian coordinate system with the x-axis pointing towards the observer(See diagram description for needed correction.) In physics and mathematics, a sequence of n numbers can be understood as a location in n-dimensional space. When n = 3, the set of all such locations is called 3-dimensional Euclidean space. 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.

Number A notational symbol that represents a number is called a numeral. In addition to their use in counting and measuring, numerals are often used for labels (telephone numbers), for ordering (serial numbers), and for codes (e.g., ISBNs). Classification of numbers[edit] Natural numbers[edit] The most familiar numbers are the natural numbers or counting numbers: 1, 2, 3, and so on. 5 Really Weird Things About Water Water, good ol' H2O, seems like a pretty simple substance to you and me. But in reality, water - the foundation of life and most common of liquid - is really weird and scientists actually don't completely understand how water works. Here are 5 really weird things about water: 1. Hot Water Freezes Faster Than Cold Water Regression analysis Regression analysis is widely used for prediction and forecasting, where its use has substantial overlap with the field of machine learning. Regression analysis is also used to understand which among the independent variables are related to the dependent variable, and to explore the forms of these relationships. In restricted circumstances, regression analysis can be used to infer causal relationships between the independent and dependent variables. However this can lead to illusions or false relationships, so caution is advisable;[1] for example, correlation does not imply causation. The performance of regression analysis methods in practice depends on the form of the data generating process, and how it relates to the regression approach being used. Since the true form of the data-generating process is generally not known, regression analysis often depends to some extent on making assumptions about this process.

Length = 2nd Dimension Bi-dimensional Cartesian coordinate system In physics, our bi-dimensional space is viewed as a planar representation of the space in which we move, described as bi-dimensional space or two-dimensional space. History of two-dimensional space[edit] 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. Ontic In philosophy, ontic (from the Greek ὄν, genitive ὄντος: "of that which is") is physical, real, or factual existence. "Ontic" describes what is there, as opposed to the nature or properties of that being. To illustrate: Usage in philosophy of science[edit] Harald Atmanspacher writes extensively about the philosophy of science, especially as it relates to Chaos theory, determinism, causation, and stochasticity.

Related: