text stringlengths 256 16.4k |
|---|
Improvements to the map Command
Quick Help for Maple Objects
You can use the seq command to generate numeric sequences without specifying an index variable. The one-parameter form is:
seq(1..4);
\textcolor[rgb]{0,0,1}{1}\textcolor[rgb]{0,0,1}{,}\textcolor[rgb]{0,0,1}{2}\textcolor[rgb]{0,0,1}{,}\textcolor[rgb]{0,0,1}{3}... |
Characterization of the Stabilizing PID Controller Region for the Model-Free Time-Delay System
2013 Characterization of the Stabilizing PID Controller Region for the Model-Free Time-Delay System
Linlin Ou, Yuan Su, Xuanguang Chen
For model-free time-delay systems, an analytical method is proposed to characterize the st... |
Glass_batch_calculation Knowpia
Glass batch calculation or glass batching is used to determine the correct mix of raw materials (batch) for a glass melt.
The raw materials mixture for glass melting is termed "batch". The batch must be measured properly to achieve a given, desired glass formulation. This batch calculati... |
11F22 Relationship to Lie algebras and finite simple groups
11F33 Congruences for modular and
p
11F41 Automorphic forms on
\mathrm{GL}\left(2\right)
11F50 Jacobi forms
11F66 Langlands
L
11F67 Special values of automorphic
L
11F68 Dirichlet series in several complex variables associated to automorphic forms; Weyl group ... |
Entropy of never born protein sequences | SpringerPlus | Full Text
Entropy of never born protein sequences
Grzegorz Szoniec1 &
Maciej J Ogorzalek1
A Never Born protein is a theoretical protein which does not occur in nature. The reason why some proteins were selected and some were not during evolution is not known. We ... |
68R01 General
68R05 Combinatorics
Jünger, Michael, Mutzel, Petra (1997)
Francesco M. Malvestuto (2012)
Decomposable (probabilistic) models are log-linear models generated by acyclic hypergraphs, and a number of nice properties enjoyed by them are known. In many applications the following selection problem naturally ari... |
Estimate transition probabilities from credit ratings data - MATLAB transprob - MathWorks 한êµ
transprob
Construct a Transition Matrix From a Table of Historical Data of Credit Ratings
Create a Transition Matrix Using a Cell Array for Historical Data of Credit Ratings
idTotals
Estimate transition probabilities from c... |
Physics - An optical lattice of flux
Joint Quantum Institute, National Institute of Standards and Technology, and University of Maryland, Gaithersburg, MD 20899, USA
A suitable optical lattice for cold atoms could produce a large effective magnetic field in which the atoms would realize analogs to quantum Hall states.
... |
bert-large-uncased-whole-word-masking-finetuned-squad · Hugging Face
apache-2.0 bert AutoTrain Compatible Infinity Compatible
BERT large model (uncased) whole word masking finetuned on SQuAD
Differently to other BERT models, this model was trained with a new technique: Whole Word Masking. In this case, all of the token... |
A Clarke–Ledyaev Type Inequality for Certain Non–Convex Sets
Ivanov, M., Zlateva, N. (2000)
We consider the question whether the assumption of convexity of the set involved in Clarke-Ledyaev inequality can be relaxed. In the case when the point is outside the convex hull of the set we show that Clarke-Ledyaev type ineq... |
A Beale-Kato-Madja criterion for magneto-micropolar fluid equations with partial viscosity.
Wang, Yu-Zhu, Hu, Liping, Wang, Yin-Xia (2011)
A blowup analysis of the mean field equation for arbitrarily signed vortices
Hiroshi Ohtsuka, Takashi Suzuki (2006)
We study the noncompact solution sequences to the mean field equa... |
Asymptotic Behavior of Ground State Radial Solutions for -Laplacian Problems
Sonia Ben Othman, Rym Chemmam, Habib Mâagli, "Asymptotic Behavior of Ground State Radial Solutions for -Laplacian Problems", Journal of Mathematics, vol. 2013, Article ID 409329, 7 pages, 2013. https://doi.org/10.1155/2013/409329
Sonia Ben Oth... |
For curves given in different formats, Table 2.2.1 lists formulas for the arc-length function, which measures the length of the curve as a function of the curve's parameter. In each case, the integrand for the arc-length function is recognized as
\mathrm{ρ}=∥\mathbf{R}\prime ∥
. Hence, by the fundamental theorem of cal... |
52Axx General convexity
52A05 Convex sets without dimension restrictions
52A07 Convex sets in topological vector spaces
52A10 Convex sets in
2
3
dimensions (including convex surfaces)
52A20 Convex sets in
52A21 Finite-dimensional Banach spaces (including special norms, zonoids, etc.)
52A30 Variants of convex sets (star... |
What to do with MAI on Polygon - Mai Finance - Tutorials
This tutorial will present the different options that will let you use your freshly minted MAI on Polygon.
The goal of this tutorial is not to present in details what you can do with your MAI stable coin, but have a list of all the websites and DeFi application t... |
Simplify the following expressions and then check your answers with a scientific calculator.
\left(16 + 2\right) · \left(−3−1\right)
18\left(-4\right)
−6 + 7 · 5
29
4\left(−6\right) − \left(−11\right) + 6\left(1 − 5\right)
Circling terms should make this one easier.
\enclose{circle}[mathcolor="blue"]{\color{black}{4\le... |
High School Mathematics Extensions/Supplementary/Differentiation - Wikibooks, open books for an open world
High School Mathematics Extensions/Supplementary/Differentiation
1 Differentiate from first principle(otherwise known as differentialisation)
1.7 Differentiating f(z) = (1 - z)^n
1.7.1 Derivation 1
1.8 Differentia... |
Physics - Changing repulsion into attraction with the quantum Hippy Hippy Shake
Changing repulsion into attraction with the quantum Hippy Hippy Shake
Department of Physics, Georgetown University, Washington, DC 20057, USA
A quick-acting ac field may change the repulsive interaction in a system of correlated electrons t... |
Force And Laws Of Motion, Popular Questions: CBSE Class 9 ENGLISH, English Grammar - Meritnation
give 7 examples of inertia of rest with explanation
what are the forces acting on a moving train?
Yash.m asked a question
How to find the least count of a spring balance?
Define acceleration and give its SI unit. When is ac... |
Comments on tag 00SY—Kerodon
Comment #820 by DnlGrgk on December 10, 2020 at 19:46
There is a typo in the last bullet point of "c)": it should be "
Fun(\mathcal{S}, \mathcal{C})
Fun(\mathcal{C}, \mathcal{S})
Fun(\mathcal{S}, \mathcal{C})
\operatorname{Fun}(\mathcal{C}, \mathcal{S})
\operatorname{LFun}(\mathcal{S}, \mat... |
Physics - Invention of the Maser and Laser
Invention of the Maser and Laser
Charles Townes’ pair of papers on the first maser in 1954 and 1955 laid the foundation for the laser era.
Proud father. Charles Townes and his colleagues were the first to build a “maser,” which operated in the microwave frequency range. It was... |
Neutral-atom qubits store information in their spin states. So far, most neutral-atom experiments have used alkali metals, for which the necessary trapping and cooling techniques are highly advanced. Alkali-metal atoms have a drawback, however: the electronic spin states used to store quantum information can be corrupt... |
Oloid - Wikipedia
Three-dimensional curved geometric object
Oloid structure, showing the two 240 degree circular sectors and the convex hull.
The plane shape of a developed Oloid surface
An oloid is a three-dimensional curved geometric object that was discovered by Paul Schatz in 1929. It is the convex hull of a skelet... |
Per-Unit System - MATLAB & Simulink - MathWorks Benelux
Per-Unit System and Motor Control Blockset
Why Use Per-Unit System Instead of Standard SI Units
Motor Control Blockset™ uses these International System of Units (SI):
Torque newton-meter N.m
The SI Unit for speed is rad/s. However, most manufacturers use rpm as th... |
Physics - The Two Structures of Hot Dense Ice
April 21, 2022 • Physics 15, s49
Experiments indicate that superionic ice can exist in two stable crystal structures.
slay19/stock.adobe.com
If water exists on an icy giant planet or an exoplanet, it’s most likely in a phase that doesn’t naturally occur on Earth. At ... |
Gender Roles with Text Mining and N-grams
Today is the one year anniversary of the janeaustenr package’s appearance on CRAN, its cranniversary, if you will. I think it’s time for more Jane Austen here on my blog.
I saw this paper by Matthew Jockers and Gabi Kirilloff a number of months ago and the ideas in it have been... |
A reliability block diagram (RBD) is a diagrammatic method for showing how component reliability contributes to the success or failure of a redundant. RBD is also known as a dependence diagram (DD).
A reliability block diagram
An RBD is drawn as a series of blocks connected in parallel or series configuration. Parallel... |
Crystal Wafer: Crystallographic cracking behavior in silicon single crystal wafer
Crystallographic cracking behavior in silicon single crystal wafer
Crystallographic cracking behavior was studied on three-point-bending specimens of silicon single-crystal wafer having (1
\text{1}\text{̄}
0) [11
\text{2}\text{̄}
]-orient... |
The Vault - TOAD Wiki
PADSwap UI to view and interact with the Vault
The Vault is another groundbreaking idea for the whole TOAD.Network ecosystem. The Vault is a secure place that stores the backing for PAD, the native token of PADSwap.
Whenever a swap takes place on PADSwap, 0.05% of the transaction goes to the Vault... |
Differential geometry in Rust – ebvalaim.log
The array problem once again
So we want to check the compatibility of tensors with respect to the coordinate systems statically (that is, at compile time), but we could expand it a bit. For example, addition only makes sense for tensors of the same rank and variance (that is... |
14C30 Transcendental methods, Hodge theory , Hodge conjecture
14C35 Applications of methods of algebraic
K
A Construction of Surfaces with pg = 1, q = 0 and 2...(K2) ...8. Counter Examples of the Global Torelli Theorem.
Andrei N. Todorov (1981)
Sławomir Rams, Piotr Tworzewski, Tadeusz Winiarski (2005)
Eduardo Esteves, ... |
Physics - Cloud Quantum Computing Tackles Simple Nucleus
Cloud Quantum Computing Tackles Simple Nucleus
Researchers perform a quantum computation of the binding energy of the deuteron using a web connection to remote quantum devices.
Scientific computation has long been a matter of typing commands on a screen and then ... |
Physics - Thierry Giamarchi
Thierry Giamarchi holds a Ph.D. in physics from Paris XI University. A permanent member of France’s CNRS since 1986, he was a postdoc/visiting fellow at Bell Laboratories between 1990 and 1992, and in 2002 he became full professor in the Condensed Matter Department of the University of Genev... |
76D05 Navier-Stokes equations
76D03 Existence, uniqueness, and regularity theory
76D45 Capillarity (surface tension)
Olivier Bernard, Anne-Céline Boulanger, Marie-Odile Bristeau, Jacques Sainte-Marie (2013)
Cultivating oleaginous microalgae in specific culturing devices such as raceways is seen as a future way to produ... |
Precession - Wikipedia
Periodic change in the direction of a rotation axis
In astronomy, precession refers to any of several slow changes in an astronomical body's rotational or orbital parameters. An important example is the steady change in the orientation of the axis of rotation of the Earth, known as the precession... |
Series and parallel connections — lesson. Science State Board, Class 10.
Series connection of parallel resistors:
A series-parallel circuit is formed by connecting a set of parallel resistors in series.
Connect \(R_1\) and \(R_2\) in parallel to obtain an effective resistance of \(R_{P1}\).
Similarly, connect \(R_3\) a... |
Canonical State-Space Realizations - MATLAB & Simulink - MathWorks Deutschland
\left({\lambda }_{1},\sigma ±j\omega ,{\lambda }_{2}\right)
\left[\begin{array}{cccc}{\lambda }_{1}& 0& 0& 0\\ 0& \sigma & \omega & 0\\ 0& -\omega & \sigma & 0\\ 0& 0& 0& {\lambda }_{2}\end{array}\right]
In the companion realization, the cha... |
{u}_{t}-\Delta u={u}^{p}\phantom{\rule{4pt}{0ex}}\text{with}\phantom{\rule{4pt}{0ex}}0<p<1
J. Aguirre, M. Escobedo (1986/1987)
A Commuting Vectorfields Approach to Strichartz type Inequalities and Applications to Quasilinear Wave Equations
Sergiu Klainerman (1999/2000)
{S}^{1}
{m}^{\text{'}}
{x}^{\text{'}}
{E}_{\epsilo... |
Physics - Controlling Single Photons with Rydberg Superatoms
Wenchao Xu and Vladan Vuletić
Figure 1: Sketch of the superatom-cavity scheme for photon manipulation. (Top) If the superatom is in its ground state, photons pass through the cavity. (Bottom) If the superatom is in its excited state, photons are reflected at ... |
Physics - Dipolar Gas Chilled to Near Zero
Dipolar Gas Chilled to Near Zero
The cooling of strongly dipolar molecules to their absolute ground state has opened the possibility of creating new forms of matter.
Jee Woo Park and Sebastian Will/MIT
Cooling dipolar molecules to near absolute zero could produce new quantum s... |
Thoughts about light bending – ebvalaim.log
Thoughts about light bending
I had a sudden moment of clarity recently when thinking about how to remove a graphical artifact from the Black Hole Simulator.
The current simulator has one ugly aspect of the rendered image. Exactly 90 degrees from the direction to the black hol... |
Estimate uncertainty of market impact cost - MATLAB timingRisk - MathWorks Australia
timingRisk
Estimate Timing Risk for Stocks
Estimate uncertainty of market impact cost
tr = timingRisk(k,trade)
tr = timingRisk(k,trade) returns the uncertainty of the market impact cost estimate, or timing risk. timingRisk uses the Kis... |
Physics - Laughlin’s Charge Pump Realized
Using atomic spin to represent a synthetic dimension, researchers have experimentally verified the predictions of a long-unrealized thought experiment.
A. Fabre et al. [2]; adapted by APS/Alan Stonebraker
Figure 1: Lasers cyclically couple three electronic spins (purple bars) o... |
This article is about the topology of communication networks. For the topology of electrical networks, see Topology (electrical circuits). For the topology of transport networks, see Transport topology.
4.3.1 Linear bus
4.3.2 Distributed bus
4.4.2 Distributed star
4.6.1 Fully connected network
4.6.2 Partially connected... |
Straight Lines, Popular Questions: CBSE Class 11-commerce ENGLISH, English Grammar - Meritnation
Rupesh Shrivastava asked a question
the point P is the foot of the perpendicular from A(0,t) to the line whose equation is y=tx. Determine
a) the equation of line AP
b) the co-ordinate of P
c) the area of triangle OAP, wher... |
p
M
\sigma
A categorical concept of completion of objects
Guillaume C. L. Brümmer, Eraldo Giuli (1992)
We introduce the concept of firm classes of morphisms as basis for the axiomatic study of completions of objects in arbitrary categories. Results on objects injective with respect to given morphism classes are include... |
Theory of Anisotropic Thin-Walled Beams | J. Appl. Mech. | ASME Digital Collection
Theory of Anisotropic Thin-Walled Beams
V. V. Volovoi, Post Doctoral Fellow,
V. V. Volovoi, Post Doctoral Fellow
School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0150
D. H. Hodges, Professor
Contributed... |
Paul Walker, Thomas Radke, Erik Schnetter
Thorn PUGHInterp implements the Cactus interpolation API CCTK_InterpGridArrays() for the interpolation of CCTK grid arrays at arbitrary points.
Thorn PUGHInterp provides an implementation of the Cactus interpolation API specification for the interpolation of CCTK grid arrays at... |
30C65 Quasiconformal mappings in
{𝐑}^{n}
30C10 Polynomials
30C30 Numerical methods in conformal mapping theory
30C40 Kernel functions and applications
30C45 Special classes of univalent and multivalent functions (starlike, convex, bounded rotation, etc.)
30C50 Coefficient problems for univalent and multivalent functio... |
Solving Nonlinear Elliptic Equations: Calling PETSc from Cactus
Solving Nonlinear Elliptic Equations:
Calling PETSc from Cactus
<
>
The Cactus thorn TATPETSc provides a simple interface to the SNES interface of PETSc. SNES (“Simple Nonlinear Elliptic Solver”) is a set of efficient parallel solvers for sparse matrices, ... |
Profit margin is a percentage measurement of profit that expresses the amount a company earns per dollar of sales. If a company makes more money per sale, it has a higher profit margin. Gross profit margin and net profit margin, on the other hand, are two separate profitability ratios used to assess a company's financi... |
Partially Averaged Navier-Stokes Method for Turbulence: Fixed Point Analysis and Comparison With Unsteady Partially Averaged Navier-Stokes | J. Appl. Mech. | ASME Digital Collection
Sharath S. Girimaji,
Eunhwan Jeong,
Eunhwan Jeong
, 45 Eoeun-Dong, Youscong-gu, Daejeon 305-333, Korea
Girimaji, S. S., Jeong, E., and Sri... |
Counting lattices in simple Lie groups: The positive characteristic case
February 2012 Counting lattices in simple Lie groups: The positive characteristic case
Duke Math. J. 161(3): 431-481 (February 2012). DOI: 10.1215/00127094-1507421
In this article, we prove the following conjecture by Lubotzky. Let
G={\mathbb{G}}_... |
Metapopulation Knowpia
A metapopulation consists of a group of spatially separated populations of the same species which interact at some level. The term metapopulation was coined by Richard Levins in 1969 to describe a model of population dynamics of insect pests in agricultural fields, but the idea has been most broa... |
Nobuyuki Tose (1987)
We study the propagation of microlocal analytic singularities for the microdifferential equations with conical refraction studied by R. Melrose and G. Uhlmann. We transform the equations to a simple canonical form 2-microlocaly through quantized bicanonical transformations by Y. Laurent.
A general ... |
Use an iterated triple integral to obtain the volume of
R
, the first-octant region that is bounded by the coordinate planes, and the additional planes
x=1
x+y+z=2
Figure 8.1.29(a) shows the solid whose volume is obtained by iterating a triple integral in Cartesian coordinates in the order
\mathrm{dy} \mathrm{dz} \math... |
32T25 Finite type domains
32T40 Peak functions
A characterization of totally real generic submanifolds of strictly pseudoconvex boundaries in Cn admitting a local foliation by interpolation submanifolds.
Andrei Iordan (1990)
A Construction of Normal Forms for Weakly Pseudoconvex CR Manifolds in ...2.
Philip P. Wong (19... |
This specifies the origin of the hyperslab. It must be given as an array of integer values with
N
elements. Each value specifies the offset in grid points in this dimension into the N-dimensional volume of the grid variable.
The direction vectors specify both the directions in which the hyperslab should be spanned (eac... |
OHM forks on Polygon: The case of KLIMA - Mai Finance - Tutorials
This guide will present an overly simplified presentation of OHM-forks and related projects, and how you can benefit from them on Polygon with the special case of Klima DAO.
If you've been following the crypto news for the past few months, you certainly ... |
A\mathrm{sin}\left(x\right)
A
x
t
n
p
p
p
The trace=n option specifies that a number of previous frames of the animation be kept visible. When
n
n+1
n=5
When
is a list of integers, then the frames in those positions are the frames that remain visible. Each integer in
n=0
\mathrm{with}\left(\mathrm{plots}\right):
\ma... |
Research:Standard metrics - Meta
(Redirected from Research:Metrics standardization)
This page is about a 2013/14 project for metrics standardization. For overall edit statistics across Wikimedia projects, see Statistics.
Metrics standardization, Wikimedia Research & Data Showcase, March 2014
Researchers, analysts, and ... |
If k is negative, this is understood as counting from the end of A (unless the lowerbound of A is different from 1). That is,
-1
represents the last entry of A,
-2
represents the next-to-last entry, and so on.
\mathrm{with}\left(\mathrm{ArrayTools}\right):
v≔[5,2,5,2,3,4,4,5,3,1,5,2,3,2,2,4,3,3,1,2]
\textcolor[rgb]{0,... |
Cecelia wants to measure the area of her bedroom floor. Should she use square inches or square feet? Complete parts (a) through (c) below as you explore this question.
Write a sentence to explain which units you think Cecelia should use.
Square inches are good for measuring the area of things such as your desk or a pie... |
A new shipment of nails is due any day at Hannah’s Hardware Haven, and you have been asked to help label the shelves so that the nails are organized in length from least to greatest. She is expecting nails of the following sizes:
1\frac{3}{8}
inch,
1\frac{7}{8}
2\frac{1}{4}
\frac { 7 } { 8 }
inch, and
1\frac{1}{2}
inch... |
Log unconditional probability density for discriminant analysis classifier - MATLAB - MathWorks Switzerland
P\left(x\right)=\sum _{k=1}^{K}P\left(x,k\right),
P\left(x|k\right)=\frac{1}{{\left({\left(2\pi \right)}^{d}|{\Sigma }_{k}|\right)}^{1/2}}\mathrm{exp}\left(-\frac{1}{2}\left(x-{\mu }_{k}\right){\Sigma }_{k}^{-1}{... |
Physics - The antineutrino vanishes differently
William C. Louis
Researchers report a possible difference between muon neutrino and muon antineutrino disappearance, which if confirmed will have serious implications for our current theoretical understanding.
Figure 1: The MINOS experiment consists of two similar detecto... |
DefiniteSum - Maple Help
Home : Support : Online Help : Mathematics : Discrete Mathematics : Summation and Difference Equations : SumTools : Hypergeometric Subpackage : DefiniteSum
compute the definite sum
DefiniteSum(T, n, k, l..u)
For a specified hypergeometric term T of n and k, the DefiniteSum(T, n, k, l..u) comman... |
Atmosphere | Free Full-Text | The Development of Volcanic Ash Cloud Layers over Hours to Days Due to Atmospheric Turbulence Layering
High–Resolution Modeling of Airflows and Particle Deposition over Complex Terrain at Sakurajima Volcano
Bulk Deposition and Source Apportionment of Atmospheric Heavy Metals and Metalloids... |
{L}^{p}
\left(r,p\right)
C\left(T,X\right)
A bilinear version of Holsztyński's theorem on isometries of C(X)-spaces
Antonio Moreno Galindo, Ángel Rodríguez Palacios (2005)
We prove that, for a compact metric space X not reduced to a point, the existence of a bilinear mapping ⋄: C(X) × C(X) → C(X) satisfying ||f⋄g|| = |... |
Invariant (mathematics) - Wikipedia
(Redirected from Invariant (computer science))
Property that is not changed by mathematical transformations
For other uses, see Invariant (disambiguation).
{\displaystyle \circ }
1.1 MU puzzle
2 Invariant set
3.1 Unchanged under group action
3.2 Independent of presentation
3.3 Unchan... |
Cancellation criterion Cancellation criterion | Technically Exists
Cancellation criterion
The cancellation criterion requires that every vote be perfectly cancelled out by some other vote. Specifically, for every valid ballot there must exist some other ballot such that adding both ballots to an election will never cha... |
Robert Mercaş, Aleksi Saarela (2014)
A k-abelian cube is a word uvw, where the factors u, v, and w are either pairwise equal, or have the same multiplicities for every one of their factors of length at most k. Previously it has been shown that k-abelian cubes are avoidable over a binary alphabet for k ≥ 8. Here it is p... |
camDAI beginner strategy - Mai Finance - Tutorials
Mai Finance - Tutorials
🇺🇸/🇬🇧 English
The Unofficial Guide to Mai Finance
Leverage Your Aave Market Tokens
camDAI beginner strategy
Farming using only stable coins
What to do with MAI on Polygon
What to do with Qi on Polygon
Stack DApps like Lego bricks
Farming or ... |
Extension:Math/newFeatures - MediaWiki
Extension:Math/newFeatures
This page is a preview for the new Math rendering that will get live at Wikipedia soon. Registered user will be able to chose between
{\displaystyle E=mc^{2}}
(currently disabled via config)
{\displaystyle E=mc^{2}}
(currently active)
{\displaystyle E=mc... |
76N10 Existence, uniqueness, and regularity theory
76N15 Gas dynamics, general
76N17 Viscous-inviscid interaction
76N20 Boundary-layer theory
A conservative spectral element method for the approximation of compressible fluid flow
Kelly Black (1999)
A method to approximate the Euler equations is presented. The method is... |
52C17 Packing and covering in
52C05 Lattices and convex bodies in
2
52C07 Lattices and convex bodies in
52C10 Erdős problems and related topics of discrete geometry
52C15 Packing and covering in
2
52C17 Packing and covering in
52C20 Tilings in
2
52C22 Tilings in
52C26 Circle packings and discrete conformal geometry
52C... |
Differential geometry in Rust
During the last few weeks I've been working on a library that would let the user do some differential-geometric calculations in Rust. By differential geometry I mean mostly the tensor calculus in curved spaces or space-times. I've already created something like that in C++, but I wanted to... |
Decagon Knowpia
In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, "ten angles") is a ten-sided polygon or 10-gon.[1] The total sum of the interior angles of a simple decagon is 1440°.
A self-intersecting regular decagon is known as a decagram.
Regular decagonEdit
{\displaystyle A={\frac {5}{2}}a^{2}\cot... |
Physics - Weak Lensing Becomes a High-Precision Survey Science
Weak Lensing Becomes a High-Precision Survey Science
Physics Department, Brookhaven National Laboratory, Upton, NY 11973, USA
August 27, 2018 • Physics 11, 85
Analyzing its first year of data, the Dark Energy Survey has demonstrated that weak lensing... |
Well-posedness of distribution dependent SDEs with singular drifts
May 2021 Well-posedness of distribution dependent SDEs with singular drifts
Michael Röckner, Xicheng Zhang
Michael Röckner,1,2 Xicheng Zhang3
1Fakultät für Mathematik, Universität Bielefeld, 33615, Bielefeld, Germany
2Academy of Mathematics and Systems ... |
Hydro_NSID
Nik Stergioulas, Roberto De Pietri, Frank Löfller
Hydro_RNSID - rotating relativistic neutron stars.
This thorn generates neutron star initial data for the GRHydro code. As with the Einstein Toolkit code itself, please feel free to add, alter or extend any part of this code. However please keep the documenta... |
UrquhartGraph - Maple Help
Home : Support : Online Help : Mathematics : Discrete Mathematics : Graph Theory : GraphTheory Package : GeometricGraphs : UrquhartGraph
construct Urquhart graph
UrquhartGraph( P, opts )
The UrquhartGraph(P, opts) command returns an Urquhart graph for the point set P.
P
be a set of points in
... |
A categorification of the square root of -1
Yin Tian (2016)
We give a graphical calculus for a monoidal DG category ℐ whose Grothendieck group is isomorphic to the ring ℤ[√(-1)]. We construct a categorical action of ℐ which lifts the action of ℤ[√(-1)] on ℤ².
A characterization of discrete linearly compact rings by mea... |
Home : Support : Online Help : Mathematics : Algebra : Polynomials : Lcm
inert lcm function
multivariate polynomials over the rationals
The Lcm function is a placeholder for representing the least common multiple of an arbitrary number of polynomials with rational coefficients. Lcm is used in conjunction with mod or mo... |
30D35 Distribution of values, Nevanlinna theory
30D05 Functional equations in the complex domain, iteration and composition of analytic functions
30D10 Representations of entire functions by series and integrals
30D15 Special classes of entire functions and growth estimates
30D30 Meromorphic functions, general theory
3... |
Train Network in Parallel with Custom Training Loop - MATLAB & Simulink - MathWorks
{\mathit{s}}_{\mathit{c}}^{2}=\frac{1}{\mathit{M}}\sum _{\mathit{j}=1}^{\mathit{N}}{\mathit{m}}_{\mathit{j}}\left[{\mathit{s}}_{\mathit{j}}^{2}+{\left({\stackrel{‾}{\mathit{x}}}_{\mathit{j}}-{\stackrel{‾}{\mathit{x}}}_{\mathit{c}}\right... |
IsTangent - Maple Help
Home : Support : Online Help : Mathematics : Geometry : 3-D Euclidean : Plane Functions : IsTangent
test if a plane is tangent to a sphere
IsTangent(p, s)
The routine returns true if the plane p is tangent to the sphere s; false if they are not; and FAIL if it is unable to reach a conclusion.
In ... |
Home : Support : Online Help : Programming : Low-level Manipulation : Matrices, Vectors, and Arrays : ArrayTools : Dimensions
Array, list, Matrix, Vector
The Dimensions(M) function returns the equivalent of [rtable_dims(M)], but works on lists as well.
When M is a scalar the result will always be [ 1..1 ].
This functio... |
hyad.es | Equipotential Chess
After a few weeks' worth of playtesting (spanning several months of nonoverlapping schedules), I'm proud to release a new board game into the wild, based on some really nice physics.
For the uninitiated, equipotentials are surfaces of constant potential energy, and field lines (prominent e... |
Show how finding a Least Common Multiple can help you to simplify each of the following expressions. Then simplify them.
\frac { 2 } { 3 } - \frac { 5 } { 12 }
3
12
? How can this help you with this calculation?
Convert two-thirds to a fraction with a denominator of
12
\left ( \frac{2}{3} \right )\left ( \frac{4}{4} \r... |
Physics - Holey Rubber Slab Has Controllable Stiffness
Holey Rubber Slab Has Controllable Stiffness
Squeezing a holey rubber slab changes its stiffness over a wide range in the direction perpendicular to the squeeze.
B. Florijn/Univ. of Leiden
Controllable Swiss cheese. The stiffness in the vertical direction of this s... |
How slippage is calculated - LP-Swap Academy
How slippage is calculated
The intuition behind slippage is the following: if you try to buy big quantities in a market that has no liquidity, then you will have to pay more than the expected price (see this article for more details). Here we focus on the slippage occurring ... |
Vedisk matematikk/Hvorfor virker det? – Wikibøker
Vedisk matematikk/Hvorfor virker det?
2 Addition and Subtraction Techniques
2.1 Subtracting from a power of 10
3 Multiplication Techniques
3.1 Multiplying by 11
3.3 Multiplying numbers close to a power of 10
4 Division techniques
Mal:TOCright It should be understood tha... |
Thin beds, tuning, and AVO - SEG Wiki
(Redirected from Thin beds, tuning, and AVO (tutorial))
This tutorial originally appeared as a featured article in The Leading Edge in December 2014 — see issue.
In this tutorial, we will explore two topics that are particularly relevant to quantitative seismic interpretation — thi... |
Generating the structure of the universe – ebvalaim.log
Generating the structure of the universe
When creating a universe, you have to begin somewhere. A good starting point is to define its shape.
The most convenient and probably the most obvious shape is a cube. Each of the three coordinates is then a number from the... |
hyad.es | Copyrighted Stuff
I claim ownership of everything original published on this site, modulo attributions and other qualifications. Please cite academic publications with reference to journals, as appropriate.
I wrote this CMS myself because I was sick of Wordpress (for not letting me do interesting things), Liv... |
Advection Knowpia
In the field of physics, engineering, and earth sciences, advection is the transport of a substance or quantity by bulk motion of a fluid. The properties of that substance are carried with it. Generally the majority of the advected substance is a fluid. The properties that are carried with the advecte... |
A better proof of the Goldman-Parker conjecture.
Schwartz, Richard Evan (2005)
A combinatorial formula for Kazhdan-Lusztig polynomials.
Francesco Brenti (1994)
A Combinatorial Proof of the Existence of the Generic Hecke Algebra and R-Polynomials.
Kimmo Eriksson (1994)
A finiteness property and an automatic structure fo... |
How to Calculate a Batting Average: 7 Steps (with Pictures)
1 Calculating Batting Average
2 Calculating Other Offensive Stats
Batting average has been one of baseball's "big three" statistics for decades, along with runs batted in (RBI) and home runs. Fans of the more recent "sabermetrics" approach to baseball statisti... |
Extension:Math/MathJax testing - MediaWiki
1Examples and tests
Toggle Examples and tests subsection
1.1Quadratic polynomial
1.2Quadratic polynomial (force PNG rendering)
1.4Tall parentheses and fractions
1.5Integrals
1.6Summation
1.7Differential equation
1.10Integral equation
1.11Example
1.12Continuation and cases
1.13... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.