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Geometrical Optics | Brilliant Math & Science Wiki
Satyajit Ghosh, Skanda Prasad, Sravanth C., and
Light can behave in many ways like a wave or a packet of photons which travel in a straight line exhibiting the property of rectilinear propagation. Geometrical optics deals with the propagation of light in a straight lin... |
(Not recommended) Solve parabolic PDE problem - MATLAB parabolic - MathWorks United Kingdom
Parabolic Equation Using Legacy Syntax
Parabolic Problem Using Matrix Coefficients
Reducing Parabolic Equations to Elliptic Equations
(Not recommended) Solve parabolic PDE problem
parabolic is not recommended. Use solvepde inste... |
Self-similarly expanding networks to curve shortening flow
Schnürer, Oliver C. ; Schulze, Felix
We consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at... |
Jug - Detailed Documentation - Maker Protocol Technical Docs
Accumulation of Stability Fees for Collateral Types
Contract Name: Jug
The primary function of the Jug smart contract is to accumulate stability fees for a particular collateral type whenever its drip() method is called. This effectively updates the accumulat... |
Prime Numbers Warmup Practice Problems Online | Brilliant
What is the largest even prime number?
2 There are no even prime numbers There are infinitely many even prime numbers It is not known whether there are finitely many or infinitely many even prime numbers
A teacher would like to have their students work together ... |
Determine whether the geometric series is convergent or divergent. 10-4+1.6-0.64+.... If it's
10-4+1.6-0.64+\dots .
If it's convergent find its sum.
Juan Spiller
S=10-4+1.60.64+\dots
Given that S is a geometric series,
The known fact is that a geometric series
a+ar+a{r}^{2}+\dots
is convergent
⇔|r|<1
By comparing the g... |
Linear regression model for incremental learning - MATLAB - MathWorks Switzerland
\ell \left[y,f\left(x\right)\right]=\mathrm{max}\left[0,|y-f\left(x\right)|-\epsilon \right]
\ell \left[y,f\left(x\right)\right]=\frac{1}{2}{\left[y-f\left(x\right)\right]}^{2}
f\left(x\right)=x\beta +b.
\ell \left[y,f\left(x\right)\right... |
Solve the following initial value problem for the function y(x). y'=2xy^2;\
Solve the following initial value problem for the function y(x).
{y}^{\prime }=2x{y}^{2};\text{ }y\left(1\right)=\frac{1}{2}
{y}^{\prime }=2x{y}^{2}
⇒\frac{dy}{dx}=2x{y}^{2}
⇒\int \frac{dy}{{y}^{2}}=\int 2xdx
=-{y}^{-1}={x}^{2}+c
⇒\frac{-1}{y}=... |
Sound Synthesis Theory/Additive Synthesis - Wikibooks, open books for an open world
1.2 Constructing common harmonic waveforms in additive synthesis
1.3 Additive resynthesis
Additive Synthesis[edit | edit source]
As previously discussed in Section 1, sine waves can be considered the building blocks of sound. In fact, i... |
Presentation_of_a_group Knowpia
{\displaystyle \langle S\mid R\rangle .}
{\displaystyle \langle a\mid a^{n}=1\rangle ,}
{\displaystyle \langle a\mid a^{n}\rangle ,}
{\displaystyle s_{1}^{a_{1}}s_{2}^{a_{2}}\cdots s_{n}^{a_{n}}}
rfrf = 1,
r8 = 1, or
f2 = 1.
If we then let N be the subgroup of F generated by all conjuga... |
Risk Adjusted (deprecated) - Idle Finance
This strategy allows you to automatically rebalance the best risk/yield allocation
The risk-adjusted allocation strategy provides a way to earn the best rate at the lowest risk level. The risk-management algorithm takes account of the total assets within a pool, incorporates un... |
Xcommutator - Maple Help
Home : Support : Online Help : Mathematics : Differential Equations : DEtools : Lie Symmetry Method : Commands for ODEs : Xcommutator
calculate the commutator of two generators of one-parameter Lie groups
Xcommutator(X1, X2, k, y(x), ODE)
lists of the coefficients of the symmetry generators (in... |
Dimension (vector space) - Wikipedia
Number of vectors in any basis of the vector space
For every vector space there exists a basis,[a] and all bases of a vector space have equal cardinality;[b] as a result, the dimension of a vector space is uniquely defined. We say
{\displaystyle V}
is finite-dimensional if the dimen... |
Let V, W, and Z be vector spaces, and let
T:V\to W
U:W\to Z
be linear.
If UT is onto, prove that U is onto.Must T also be onto?
Let UT is onto.
It is needed to prove that U is onto.
z\in Z
then for some
x\in V
UT\left(x\right)=z
T\left(x\right)\in W
So U is onto.
But T may not be onto.
T:R\to {R}^{2}
T\left(x\right)=\l... |
Describe in words the surface whose equation is given.\phi =\pi
Describe in words the surface whose equation is given.\phi =\pi /3
\varphi =\frac{\pi }{3}
\varphi =\frac{\pi }{3}
\mathrm{cos}\varphi =\mathrm{cos}\left(\frac{\pi }{3}\right)=\frac{1}{2}
x=\rho \mathrm{sin}\varphi \mathrm{cos}0
{\mathrm{cos}}^{2}\varphi =... |
v is a set of ordered pairs (a, b) of
v is a set of ordered pairs (a, b) of real numbers. Sum and scalar multiplication are defined by: (a, b) + (c, d) = (a + c, b + d) k (a, b) = (kb, ka) (attention in this part)
v is a set of ordered pairs (a, b) of real numbers. Sum and scalar multiplication are defined by: (a, b) +... |
The system of equation \displaystyle{b}{e}{g}\in{\left\lbrace{c}{a}{s}{e}{s}\right\rbrace}\frac{n}{{2}}\backslash-\frac{{{n}+{1}}}{{2}}{e}{n}{d}{\left\lbrace{c}{a}{s}{e}{s}\right\rbrace} by graphing method
The system of equation {(2x + y = 1),(4x +2y = 3):} by graphing method
\left\{\begin{array}{l}2x+y=1\\ 4x+2y=3\end... |
Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equa
Form (a) the coefficient matrix and (b) the augmented matrix for the system of linear equations. \left{\begin{array}{c} 7 x-5 y=11 x-y=-5 \end{array}\
\left\{\begin{array}{l}7x-5y=11\\ x-y=-5\end{array}
\left[\begin{array}{cc}7& ... |
Estimation of initial elastic properties of 2D homogenised masonry model based on tensor scale indices - Brozovsky Maluchova 2015a - Scipedia
Tensor scale
J. Brozovsky and M. Maluchova, Estimation of initial elastic properties of 2D homogenised masonry model based on tensor scale indices, Perspectives in Science (2016)... |
Analysis of Laminar Falling Film Condensation Over a Vertical Plate With an Accelerating Vapor Flow | J. Fluids Eng. | ASME Digital Collection
A.-R. A. Khaled,
Department of Thermal Engineering and Desalination Technology,
e-mail: akhaled@kau.edu.sa
Abdulhaiy M. Radhwan,
Abdulhaiy M. Radhwan
S. A. Al-Muaikel
Khaled, A.... |
Head - Maple Help
Home : Support : Online Help : Connectivity : Web Features : Web Page Access : URL package : Head
test specified URL for validity
Head( url, options )
a list of one or more of content, headers, and code, or one of the symbols content, headers, or code. This determines what will be returned by Head. Th... |
Use Laplace transform to solve the following initial value problem:y"-2y'+5y=1+t
Use Laplace transform to solve the following initial value problem:y"-2y'+5y=1+t , y(0)=0 , y'(0)=4
{y}^{″}+5y=1+t,y\left(0\right)=0,{y}^{\prime }\left(0\right)=4
\frac{7}{25}{e}^{t}\mathrm{cos}\left(2t\right)+\frac{21}{10}{e}^{t}\mathrm{s... |
Gases - Course Hero
A gas is a form of matter without definite shape or volume. In an ideal gas, there are no intermolecular forces between the gas atoms or molecules, and the molecules do not take up space. The ideal gas law explains and predicts the behavior of a hypothetical ideal gas. Laws derived from the ideal ga... |
The series is, \sum_{n=9}^\infty \frac{1}{n(n-1)}
\sum _{n=9}^{\mathrm{\infty }}\frac{1}{n\left(n-1\right)}
\sum _{n=9}^{\mathrm{\infty }}\frac{1}{n\left(n-1\right)}=\sum _{n=9}^{\mathrm{\infty }}\left(\frac{1}{n-1}-\frac{1}{n}\right)
=\left(\frac{1}{8}-\frac{1}{9}\right)+\left(\frac{1}{9}-\frac{1}{10}\right)+\left(\fr... |
1Department of Civil Engineering, Faculty of Engineering, Kandahar University, Kandahar, Afghanistan.
Rahmat, M. and Mizokami, S. (2019) Evaluation of Disparities between Transportation Needs and Trip Patterns of Men and Women in Kandahar City, Afghanistan. Journal of Transportation Technologies, 9, 78-94. doi: 10.4236... |
Let C be the curve described by the parametric equations
prelimaf1 2021-12-04 Answered
x\left(t\right)=t,y\left(t\right)={t}^{3}
a) sketch a graph of C.
c) find the velocity vector and the speed of f(t) at t=1.
kayleeveez7
x\left(t\right)=t,y\left(t\right)={t}^{3}
To sketch the curve let convert it into Cartesian form
... |
\lim_{x \to 0} \frac{x(1+a \cos x)-b \sin x}{x^3}=1, how to
\underset{x\to 0}{lim}\frac{x\left(1+a\mathrm{cos}x\right)-b\mathrm{sin}x}{{x}^{3}}=1
, how to find the constants a,b?
If you can use Taylor series, the numerator is
x\left(1+a-\frac{a{x}^{2}}{2}\right)-b\left(x-\frac{{x}^{3}}{6}\right)+o\left({x}^{3}\right)=\... |
Evaluate the integrals \int_0^{\ln9}e^\theta(e^\theta-1)^{1/2}d\theta
{\int }_{0}^{\mathrm{ln}9}{e}^{\theta }{\left({e}^{\theta }-1\right)}^{\frac{1}{2}}d\theta
wheezym
{\int }_{0}^{\mathrm{ln}9}{e}^{\theta }{\left({e}^{\theta }-1\right)}^{\frac{1}{2}}d\theta
{e}^{\theta }-1==t
on differentiating with respect to t we g... |
Independent Researcher, Al-Hokail, Khobar, KSA.
Abstract: Introduction: Intraoperative blood loss remains as a concern for all surgeons. Proper estimation of intraoperative blood loss is critical and can be challenging, especially if the blood is mixed with other fluids such as tumescent fluid in liposuction cases. In ... |
Find the Laplace transform for displaystyle f{{left({t}right)}}={2}{u}{left({t}-{3}right)}{{cos}^{2}{2}}{t}-{6}{e}^{{{2}{t}+{7}}}delta{left({t}+{3}right)}
Find the Laplace transform for f(t)=2u(t-u)cos^2 2t-6e^(2t+7) delta(t+3)
Find the Laplace transform for
f\left(t\right)=2u\left(t-3\right){\mathrm{cos}}^{2}2t-6{e}^{... |
Thermal Decomposition of Diphenyl Tetroxane in Chlorobenzene Solution
Thermal Decomposition of Diphenyl Tetroxane in Chlorobenzene Solution
Alexander G. Bordon, Andrea N. Pila, Mariela I. Profeta, María J. Jorge, Lilian C. Jorge, Jorge M. Romero, Nelly L. Jorge
Laboratorio de Investigación en Tecnología Ambiental, Fa... |
Equilibrium constant - Simple English Wikipedia, the free encyclopedia
Equilibrium constant is a mathematical quantity which expresses the relationship between products and reactants of a reaction at equilibrium with respect to a specific unit. In other words, equilibrium constant is the reaction quotient of a chemical... |
group(deprecated)/permrep - Maple Help
Home : Support : Online Help : group(deprecated)/permrep
find a permutation representation of a group
permrep(sbgrl)
subgroup of a group given by generators and relations (i.e. a subgrel)
Important: The group package has been deprecated. Use the superseding command GroupTheory[Per... |
Using the Extended Power Rule Find the following derivatives. \frac{d}{dx}(\fra
Using the Extended Power Rule Find the following derivatives. \frac{d}{dx}(\frac{9}{x^{5}})
Using the Extended Power Rule Find the following derivatives.
\frac{d}{dx}\left(\frac{9}{{x}^{5}}\right)
\frac{d}{dx}\left(\frac{9}{{x}^{5}}\right)=... |
Pulsating_white_dwarf Knowpia
A pulsating white dwarf is a white dwarf star whose luminosity varies due to non-radial gravity wave pulsations within itself. Known types of pulsating white dwarfs include DAV, or ZZ Ceti, stars, with hydrogen-dominated atmospheres and the spectral type DA;[1] DBV, or V777 Her, stars, wit... |
NDF_STYPE
The routine sets a new full type for an NDF array component, causing its storage type to be changed. If the component’s values are defined, they will be converted from from the old type to the new one. If they are undefined, then no conversion will be necessary. Subsequent enquiries will reflect the new type.... |
Home : Support : Online Help : Mathematics : Algebra : Expression Manipulation : Simplifying : logarithms
simplify expressions involving logarithms
simplify(expr, ln)
literal name; ln
The simplify/ln function is used to simplify logarithmic expressions. It applies the following simplifications whenever it can determine... |
Evaluate the definite integral. \int_{1}^{2}\frac{e^{\frac{1}{x^{4}}}}{x^{5}}dx
{\int }_{1}^{2}\frac{{e}^{\frac{1}{{x}^{4}}}}{{x}^{5}}dx
To evaluate the definite integral.
{\int }_{1}^{2}\left(\frac{{e}^{\frac{1}{{x}^{4}}}}{{x}^{5}}\right)dx
Integrate the function with respect to x.
{\int }_{1}^{2}\left(\frac{{e}^{\fra... |
I want to solve for x 2^{\sin^4 x-\cos^2 x}-2^{\cos^4 x-\sin^2 x}=\cos
Mabel Breault 2021-12-30 Answered
I want to solve for x
{2}^{{\mathrm{sin}}^{4}x-{\mathrm{cos}}^{2}x}-{2}^{{\mathrm{cos}}^{4}x-{\mathrm{sin}}^{2}x}=\mathrm{cos}2x
u={\mathrm{sin}}^{2}\left(x\right)\text{ }\phantom{\rule{1em}{0ex}}\text{and}\phantom{... |
Board Paper Solutions for ICSE Class 10 MATHS Board Paper 2020 MeritNation
Board Paper of Class 10 2020 Math - Solutions
Board Paper of Class 10 2020 Math MeritNation - Solutions
{x}^{2}-7x+3=0
(b) Given
\mathrm{A}=\left[\begin{array}{cc}x& 3\\ y& 3\end{array}\right]
{A}^{2}=3I
, where I is the identity matrix of order... |
19 Q19 A cyclist paddling at a speed of 10 m/s on a level road takes a sharp - Physics - Work Energy And Power - 12003739 | Meritnation.com
Q19. A cyclist paddling at a speed of 10 m/s on a level road takes a sharp circular turn of radius 10 m without reducing the speed. The angle made by cyclist with vertical is
\left... |
Use Laplace transforms to solve the initial value problems. y"+y'=\delta(t)-\delta(t-3),
Use Laplace transforms to solve the initial value problems. y"+y'=\delta(t)-\delta(t-3), y(0)=1 , y'(0)=0
Use Laplace transforms to solve the initial value problems.
y{y}^{\prime }=\delta \left(t\right)-\delta \left(t-3\right),y\le... |
I have to make a crossword puzzle for mathsfrom chapters linear equations in two variables,introduction to Euclidsgeometry, lines and angles - Maths - Introduction to Euclid\s Geometry - 9447437 | Meritnation.com
I have to make a crossword puzzle for mathsfrom chapters linear equations in two variables,introduction to ... |
Coproximinality in the Space of Bounded Functions
Eyad Abu-Sirhan, Zuhier Altawallbeh, "Coproximinality in the Space of Bounded Functions", International Journal of Mathematics and Mathematical Sciences, vol. 2014, Article ID 196391, 5 pages, 2014. https://doi.org/10.1155/2014/196391
Eyad Abu-Sirhan 1 and Zuhier Altawa... |
Predictive driver controller to track longitudinal speed and lateral path - Simulink - MathWorks France
y=\frac{{K}_{ff}}{{v}_{nom}}{v}_{ref}+\frac{{K}_{p}{e}_{ref}}{{v}_{nom}}+\int \left(\frac{{K}_{i}{e}_{ref}}{{v}_{nom}}+{K}_{aw}{e}_{out}\right)dt+{K}_{g}\theta
y=\frac{{K}_{ff}\left(v\right)}{{v}_{nom}}{v}_{ref}+\fra... |
If I have a such equation to solve: \sin 3x=\frac12
If I have a such equation to solve:\sin 3x=\frac12
guringpw 2021-12-26 Answered
If I have a such equation to solve:
\mathrm{sin}3x=\frac{1}{2}
\left[0,2\pi \right]\text{ }\text{ },\mathrm{sin}\frac{\pi }{6}=\mathrm{sin}\frac{5\pi }{6}=\frac{12}{}
\mathrm{sin}\left(3x\... |
What is the antiderivative of \sec(x)?
\mathrm{sec}\left(x\right)
\int \mathrm{sec}xdx
\frac{\mathrm{sec}\left(x\right)+\mathrm{tan}\left(x\right)}{\mathrm{sec}\left(x\right)+\mathrm{tan}\left(x\right)}
\int \frac{\mathrm{sec}\left(x\right)\left(\mathrm{sec}\left(x\right)+\mathrm{tan}\left(x\right)\right)}{\mathrm{sec}... |
Find the derivative of the following functions y=2^{3+\sin x}
y={2}^{3+\mathrm{sin}x}
Consider the provided function,
y={2}^{3+\mathrm{sin}x}
Find the derivative of the above functions.
First, we taking log both the sides.
\mathrm{ln}y=\mathrm{ln}\left({2}^{3+\mathrm{sin}x}\right)
Apply the log property
\mathrm{ln}\lef... |
Find derivatives for the functions. Assume a, b, c, and k are constants. g(x)=5x^{4}
Find derivatives for the functions. Assume a, b, c, and k are constants.g(x)=5x^{4}
g\left(x\right)=5{x}^{4}
{g}^{\prime }\left(x\right)={\left(5{x}^{4}\right)}^{\prime }
=5{\left({x}^{4}\right)}^{\prime }
=5\stackrel{˙}{4}{x}^{3}
=20{... |
Momentum: Level 1-2 Challenges Practice Problems Online | Brilliant
Two billiard balls of equal mass are rolled in such a way that their velocities have the same magnitude but are in opposite directions.
Which of the following is an impossible outcome for the velocities of the billiard balls after a collision?
Note: Co... |
Filter disturbances through vector error-correction (VEC) model - MATLAB filter - MathWorks Deutschland
Filter Disturbances Through VEC Model
Filter Multiple Disturbance Paths
Filter disturbances through vector error-correction (VEC) model
Y = filter(Mdl,Z)
Y = filter(Mdl,Z,Name,Value)
[Y,E] = filter(___)
Y = filter(Md... |
Data types and features - Upsolver
This page provides an overview of the data types supported by different outputs. It also indicates whether or not the output supports upserts, aggregations, and SQL.
When creating an output, these specific data types are supported. Additionally, upserts, aggregations, and SQL are supp... |
Friedman number - Wikipedia
A Friedman number is an integer, which represented in a given numeral system, is the result of a non-trivial expression using all its own digits in combination with any of the four basic arithmetic operators (+, −, ×, ÷), additive inverses, parentheses, exponentiation, and concatenation. Her... |
Write the solutions or, if there is no solution, say
Write the solutions or, if there is no solution, say the system is inconsistent. [ 1 0 0 -1 0 1 0 3 0 0 1 4 0 0 0 0 ]
\left[\begin{array}{cccc}1& 0& 0& -1\\ 0& 1& 0& 3\\ 0& 0& 1& 4\\ 0& 0& 0& 0\end{array}\right]
Bach variable is represented by a leading 1 in the corr... |
Demodulate orthogonal frequency division modulated data - Simulink - MathWorks Switzerland
OFDM Demodulator Baseband
Demodulate orthogonal frequency division modulated data
OFDM, in Digital Baseband sublibrary of Modulation
The Orthogonal Frequency Division Modulation (OFDM) Demodulator Baseband block demodulates an OF... |
How do I evaluate the power series \sum_{n=1}^\infty\frac{n}{9^n} without using the formula
kloseyq 2022-01-02 Answered
How do I evaluate the power series
\sum _{n=1}^{\mathrm{\infty }}\frac{n}{{9}^{n}}
without using the formula for infinite geometric series?
Check with induction that the partial sum is
\sum _{k=1}^{N}... |
Apply memoryless nonlinearity to complex baseband signal - Simulink - MathWorks France
{F}_{\text{AMAM}}\left(u\right)=\frac{{\alpha }_{\text{AMAM}}×u}{1+{\beta }_{\text{AMAM}}×{u}^{2}}\text{,}
{F}_{\text{AMPM}}\left(u\right)=\frac{{\alpha }_{\text{AMPM}}×{u}^{2}}{1+{\beta }_{\text{AMPM}}×{u}^{2}}\text{,}
{F}_{\text{AM... |
Replace the polar equations with equivalent Cartesian equations. Then describe o
Replace the polar equations with equivalent Cartesian equations. Then describe or identify the graph.
{r}^{2}=-6r\mathrm{sin}\theta
{r}^{2}=-6r\mathrm{sin}\theta
The Cartesian equation is
{x}^{2}+{y}^{2}=-6y\text{ }\text{ }\text{ }\left[\b... |
group(deprecated)/core - Maple Help
Home : Support : Online Help : group(deprecated)/core
find the core of a subgroup of a permutation group
core(sg, pg)
group in which the core is to be found
subgroup of pg
Important: The group package has been deprecated. Use the superseding command GroupTheory[Core] instead.
This fu... |
Grain is loaded onto a train initially coasting at the speed
v_0 \text{ m/s}
by dropping it vertically from a stationary silo at the rate
\alpha_m \text{ kg/s}
. How fast is the train moving when it exits from under the silo (in m/s)?
The train is
l = 200
m long, and has an empty weight of
m_0 = 500
v_0=45
\alpha_m = 2... |
Disturbance Attenuation Using a dc Motor for Radial Force Actuation in a Rotordynamic System | J. Dyn. Sys., Meas., Control. | ASME Digital Collection
Rainer Leuschke,
Rainer Leuschke Research Assistant
Brian C. Fabien Professor
Leuschke, R., and Fabien, B. C. (January 18, 2007). "Disturbance Attenuation Using a dc Mot... |
Find the tangent line(s) to the parametric curve given by
Find the tangent line(s) to the parametric curve given by x=t^5-4t^3 y=t^2
x={t}^{5}-4{t}^{3}
y={t}^{2}
x={t}^{5}-4{t}^{3}
y={t}^{2}
m=\frac{dy}{dx}=\frac{2t}{5{t}^{4}-12{t}^{2}}
⇒\frac{2}{5{t}^{3}-12t}\left[\frac{dy}{dx}=\frac{\frac{dy}{dt}}{\frac{dx}{dt}}\righ... |
Optical flow or optic flow is the pattern of apparent motion of objects, surfaces, and edges in a visual scene caused by the relative motion between an observer and a scene.[1][2] Optical flow can also be defined as the distribution of apparent velocities of movement of brightness pattern in an image.[3] The concept of... |
Q Calculate the time in which Rs 5,000 would become Rs 5,500 at an interest rate of - Maths - Playing with Numbers - 11882197 | Meritnation.com
Q. Calculate the time in which Rs. 5,000 would become Rs. 5,500 at an interest rate of 8% per annum.
Q. In what time will money deposited in a bank double itself if rate of int... |
40 CFR § 63.11 - Control device and work practice requirements. | CFR | US Law | LII / Legal Information Institute
40 CFR § 63.11 - Control device and work practice requirements.
(b) Flares.
{H}_{T}=K\sum _{i=1}^{n}{C}_{i}{H}_{i}
1.740×{10}^{-7}\left(\frac{1}{\mathrm{ppmv}}\right)\left(\frac{\text{g-mole}}{\mathrm{scm}... |
Impact of Climate and Bioclimate Factors on Apricot (Prunus armeniaca L.) Yield to Increase Economy and Achieve Maintaining Food Security of Palestine ()
1Department of Plant Production and Protection, Faculty of Agriculture, Al-Quds Open University, Hebron, Palestine.
Apricot (Prunus armeniaca L.) is one of the most i... |
Genomic region with a linear time effect. Fitted linear time effect for the genomic region of gene AT1G62500 on the forward strand of chromosome 1. The different replicates are indicated by ∘, + and
▵
, while the different days are represented by different colors: black (D8), red (D9), green (D10), blue (D11), cyan (D1... |
Macroeconomics Models - Vocabulary - Course Hero
Macroeconomics/Macroeconomics Models/Vocabulary
the total individual and household purchases of consumer goods and services
the relationship between consumption and disposable income
\text{C}=a+(\text{MPC}\times Y_d)
the change in consumer spending that occurs in respons... |
Code-excited_linear_prediction Knowpia
Code-excited linear prediction (CELP) is a linear predictive speech coding algorithm originally proposed by Manfred R. Schroeder and Bishnu S. Atal in 1985. At the time, it provided significantly better quality than existing low bit-rate algorithms, such as residual-excited linear... |
The Assessment of Residual Stress Effects on Ductile Tearing Using Continuum Damage Mechanics | J. Pressure Vessel Technol. | ASME Digital Collection
Andrew H. Sherry,
Andrew H. Sherry
, Sackville Street, Manchester, M60 1QD, UK
e-mail: a.sherry@manchester.ac.uk
Mark A. Wilkes,
Mark A. Wilkes
, Birchwood Park, Risley, ... |
Such a formula can be made either true or false based on the values assigned to its propositional variables. The double turnstile notation
{\displaystyle \vDash S}
is used to indicate that S is a tautology. Tautology is sometimes symbolized by "Vpq", and contradiction by "Opq". The tee symbol
{\displaystyle \top }
is s... |
In this article, we learn about control flow during the intermediate code generation phase of the compiler.
Short-circuit code.
Translating boolean expressions.
How to avoid redundant gotos.
Jumping code.
Translating if-else and while statements involves translating boolean expressions.While programming, we use boolean... |
Concatenation and Kleen closure operations.
Closure under regular operations
A language is a set of strings from an a finite or infinite alphabet. Here we discuss three simple but important operations used on languages, these are union, concatenation and kleen closure.
Others include, intersection and difference.
There... |
Subroutines | Brilliant Math & Science Wiki
Red Diamond, Agnishom Chattopadhyay, A Former Brilliant Member, and
Vasanth M M
A function is a set of code statements that are executed in sequence to affect some outcome. In the most general sense, a function can be almost anything, e.g. the square root operation
x \mapsto ... |
Residuals of fitted generalized linear mixed-effects model - MATLAB - MathWorks Deutschland
Residuals of fitted generalized linear mixed-effects model
r = residuals(glme)
r = residuals(glme,Name,Value)
r = residuals(glme) returns the raw conditional residuals from a fitted generalized linear mixed-effects model glme.
r... |
Describe in words the surface whose equation is given. 0=\pi
Describe in words the surface whose equation is given. 0=\pi /4
0=\frac{\pi }{4}
Consider the equation we are given. Since angle is fixed, it means that only two dimensions can vary. These are r and z. This means that the surface is a vertical half plane sinc... |
Linked List | Brilliant Math & Science Wiki
Kristian Takvam, Thaddeus Abiy, Alex Chumbley, and
Sun mi Kang
Linked lists are linear data structures that hold data in individual objects called nodes. These nodes hold both the data and a reference to the next node in the list.
Linked lists are often used because of their ... |
Applying Differentiation Rules to Exponential Functions | Brilliant Math & Science Wiki
Mahindra Jain, Aditya Virani, Yuliya Skripchenko, and
Thiago Baldissarelli
We have learned that the derivative of an exponential function is given by the following formulas:
\begin{array}{c}&y=e^x &\implies y'=e^x\\ y=e^{f(x)} &\imp... |
Sketch the parametric curve for the following set of parametric
Sketch the parametric curve for the following set of parametric equations. Clearly indicate direction of motion 1)x=5cost 2)y=2sint 3)0>=t>=2pi
Sketch the parametric curve for the following set of parametric equations. Clearly indicate direction of motion
... |
Let W be the set of all vectors of the form shown, where a, b, and c r
Let W be the set of all vectors of the form shown, where a, b, and c represent arbitrary real numbers. In each case, either find a set S of vectors that spans W or give an example to show that W is not a vector space.
\left[\begin{array}{c}4a+3b\\ 0... |
Time reversibility - Wikipedia
A mathematical or physical process is time-reversible if the dynamics of the process remain well-defined when the sequence of time-states is reversed.
A deterministic process is time-reversible if the time-reversed process satisfies the same dynamic equations as the original process; in o... |
If the hypotenuse of a 45°-45°-90° triangle has a length
\surd 2
A 45°-45°-90° triangle is a right isosceles triangle. If x is the length of each leg, we can use the Pythagorean Theorem to write:
{x}^{2}+{x}^{2}={\left(\surd 2\right)}^{2}
2{x}^{2}=2
{x}^{2}=1
\stackrel{―}{AB}
\mathrm{△}ABC
\mathrm{△}ABC
\mathrm{△}ABC
\... |
This article is about mechanical gears. For other uses, see Gear (disambiguation).
For the gear-like device used to drive a roller chain, see Sprocket.
"Geared" redirects here. For the video game, see Geared (video game).
3 Comparison with drive mechanisms
4.1 External versus internal gears
4.3.1 Skew gears
4.4 Double ... |
Write an equations in indicated coordinate system. Also write a
Write an equations in indicated coordinate system. Also write a parametric equation and a vector equation for each of the following equations.1) frac{x-1}{2}=frac{y-5}{3}=frac{z-2}{4}
Write an equations in indicated coordinate system. Also write a parametr... |
Noncovalent Bonds - Course Hero
Cell Biology/Interactions Among Atoms/Noncovalent Bonds
Noncovalent bonds, such as hydrogen bonds, van der Waals forces, ionic bonds, and hydrophobic bonds, play an important role in forming the structures of biological molecules.
Hydrogen (H) bonds are part of a class of intermolecular ... |
Quantum Teleportation | Brilliant Math & Science Wiki
Matt DeCross and Satyabrata Dash contributed
In quantum teleportation, the properties of quantum entanglement are used to send a spin state (qubit) between observers without physically moving the involved particle. The particles themselves are not really teleported,... |
Type expressions.
Storage layout for local names.
Sequences and declarations.
Records and classes fields.
Applications of types are grouped under checking and translation. First type checking is used to reason about the behavior of a program at runtime by using logical rules.
In applications of translation, given the t... |
\int \frac{\mathrm{sin}\left(\mathrm{ln}x\right)}{4x}dx
\int \frac{\mathrm{sin}\left(\mathrm{ln}\left(x\right)\right)}{4x}dx
We have to evaluate it.
\int \frac{\mathrm{sin}\left(\mathrm{ln}\left(x\right)\right)}{4x}dx
u=\mathrm{ln}\left(x\right)
differentiate equation w.r.t x we get
du=\frac{1}{x}dx,⇒dx=xdu
⇒\int \frac... |
Which of the following polar coordinate pairs does not represent
Which of the following polar coordinate pairs does not represent the point with rectangular coordinates (-2,-2)?(A)(2sqrt2.−135°)(B)(2sqrt2. 225°)
Which of the following polar coordinate pairs does not represent the point with rectangular coordinates (-2,... |
Calculating Distance Practice Problems Online | Brilliant
When speed changes over time, it is difficult to determine the distance traveled. But we can get a good approximation by dividing the time interval into a large number of pieces and assuming the speed remains constant over each individual period. Then, in each p... |
Shelter measurements - FIThydrowiki
Figure 1: Juvenile salmon in the upper layers of river bed sediment (Forseth et al., 2014).
Figure 2: Example showing hiding depth of 2cm (first marker covered) on a tube (Forseth et al., 2014).
Developed by: A. G. Finstad
The technique was developed by Finstad to estimate the shelte... |
what does (e) mean in this 1 1258999e+15 - Maths - Statistics - 10260551 | Meritnation.com
\mathrm{It} \mathrm{is} \mathrm{an} \mathrm{irrational} \mathrm{number} \mathrm{just} \mathrm{like} \mathrm{\pi } \mathrm{which} \mathrm{is} \mathrm{approximately} \mathrm{equal} \mathrm{to} 2.718\phantom{\rule{0ex}{0ex}}\mathrm{... |
Find the length of the curve. r(t)=<8t, t^2, \frac{1}{12}
r\left(t\right)=<8t,{t}^{2},\frac{1}{12}{t}^{3}>,0\le t\le 1
The curve will be
\frac{dw}{dt}
\frac{dw}{dt}
w=x\mathrm{sin}y,\text{ }x={e}^{t},\text{ }y=\pi -t
t=0
\left({x}^{2}-{y}^{2}+2x-y\right)dx+\left({x}^{2}-{y}^{2}+x-2y\right)dy=0
\frac{dx}{dt}=f\left(x\ri... |
Pouer (pheesics) - Wikipedia
In physics, pouer (seembol: P) is the rate that wirk is duin or energy is transmitted, or the amoont o energy needit or uised for a gien unit o time. As a rate o chynge o wirk duin or the energy o a subseestem, pouer is:
{\displaystyle P={\frac {W}{t}}\,}
whaur P is pouer, W is wirk an t is... |
Alert - Maple Help
Home : Support : Online Help : Programming : Maplets : Examples : Alert
display an alert dialog Maplet application
Alert(msg, opts)
The Alert(msg) calling sequence displays a Maplet application that contains a message. The user can click OK or Cancel. The value returned is true or FAIL, respectively.... |
ThreadSafetyCheck - Maple Help
Home : Support : Online Help : Programming : Multithreaded Programming : ThreadSafetyCheck
analyze a procedure or module for potential thread safety issues
ThreadSafetyCheck(p)
procedure or module
The ThreadSafetyCheck command analyzes the given procedure or module and warns about specifi... |
Simulation and Prediction at the Command Line - MATLAB & Simulink - MathWorks Benelux
Simulation and Prediction Commands
Initial Conditions in Simulation and Prediction
Simulate a Continuous-Time State-Space Model
Simulate Model Output with Noise
If you estimated a linear model from detrended data and want to simulate ... |
Khinchin's constant - Wikipedia
In number theory, Aleksandr Yakovlevich Khinchin proved that for almost all real numbers x, coefficients ai of the continued fraction expansion of x have a finite geometric mean that is independent of the value of x and is known as Khinchin's constant.
{\displaystyle x=a_{0}+{\cfrac {1}{... |
Multiplication - Wikipedia
Find sources: "Multiplication" – news · newspapers · books · scholar · JSTOR (April 2012) (Learn how and when to remove this template message)
{\displaystyle a\times b=\underbrace {b+\cdots +b} _{a{\text{ times}}}}
For example, 4 multiplied by 3, often written as
{\displaystyle 3\times 4}
and... |
Magnetic Fields: Level 2-4 Challenges Practice Problems Online | Brilliant
An electric current of 1 Ampere is flowing along a horizontal wire. At
x=0
the wire splits into a circle of radius 0.05 m and then comes back together at
x=0.1
m. What is the magnitude in Tesla of the magnetic field in the middle of this loop of... |
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