text stringlengths 256 16.4k |
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Suppose the random variables X and Y have a joint pdf f_{XY}(x,y)=\begin{cases}
Suppose the random variables X and Y have a joint pdff_{XY}(x,y)=\begin{cases}x+y & 0\leq x,y \leq 1\\0 & otherwise\end{cases}Find Pr(X>sqrt{Y})
{f}_{XY}\left(x,y\right)=\left\{\begin{array}{ll}x+y& 0\le x,y\le 1\\ 0& otherwise\end{array}
P... |
Recent Posts – Avital Oliver
Correcting a proof in the InfoGAN paper
The InfoGAN paper has the following lemma: Lemma 5.1. For random variables
X, Y
f(x, y)
under suitable regularity conditions:
\mathbb{E}_{x \sim X, y \sim Y|x}[f(x, y)] = \mathbb{E}_{x \sim X, y \sim Y|x, x' \sim X|y}[f(x', y)]
. The statement is corr... |
Alternatives to Linear Regression Practice Problems Online | Brilliant
Least squares linear regression is probably the most well-known type of regression, but there are many other variants which can minimize the problems associated with it.
A common one is known as ridge regression. This method is very similar to least... |
Computer Programming Resources for Beginners | Brilliant Math & Science Wiki
Computer Programming Resources for Beginners
Bruna Torman, Arulx Z, and Jimin Khim contributed
When someone wants to start in programming, discover that there are many resources and things you should learn before you say "I'm a good programmer... |
Specific Heat | Brilliant Math & Science Wiki
Specific heat is a very important aspect of physics. To understand this, we must get to know what actually is heat. There are many day-to-day activities which involve the use of heat, but we don't realize its importance. Its uses range from simply rubbing our hands to keep ... |
Classify each of the studies as either descriptive or inferential.
Classify each of the studies as either descriptive or inferential. Explain your answers.Passed at the advanced level: 41−48 items correct
This data is descriptive because it merely DESCRIBES and collects the pass/fail percentage over the course of 2 yea... |
Least Cost Method | Method to Solve Transportation Problem | Transportation Model | Education Lessons
Least cost Method is one of the method to obtain feasible solution of Transportation Problem. We already understand the North West Corner Method | Method to Solve Transportation Problem | Transportation Model for trans... |
Error correcting codes | Brilliant Math & Science Wiki
Alexander Katz and Satyabrata Dash contributed
An error correcting code (ECC) is an encoding scheme that transmits messages as binary numbers, in such a way that the message can be recovered even if some bits are erroneously flipped. They are used in practically al... |
Unit Name: Polynomial and Rational Functions Solve the following inequality algebraically.
Unit Name: Polynomial and Rational Functions
Solve the following inequality algebraically. Explain your process.
8x-3\le 2x+1\le 17x-8
Split the inequality into two:
8x-3\le 2x+1\text{ }\phantom{\rule{1em}{0ex}}\text{and}\phantom... |
Options for training deep learning neural network - MATLAB trainingOptions - MathWorks France
\begin{array}{l}{\mu }^{*}={\lambda }_{\mu }\stackrel{^}{\mu }+\left(1-{\lambda }_{\mu }\right)\mu \\ {\sigma }^{2}{}^{*}={\lambda }_{{\sigma }^{2}}\stackrel{^}{{\sigma }^{2}}\text{}\text{+}\text{}\text{(1-}{\lambda }_{{\sig... |
I took an informal poll of my friends and it turns out we all intially learned a method of matrix multiplication in school which I call row oriented multiplication. However, the friends who had been working with linear algebra for a long time frequently used a more intuitive method which I call column oriented multipli... |
Use of Colloidal Graphite Coating to Reduce Magnetic Resonance Imaging Artifacts Caused by Metallic Objects | J. Med. Devices | ASME Digital Collection
N. Knutson,
N. Knutson
S. McDonald,
Knutson, N., McDonald, S., and Erdman, A. (July 24, 2009). "Use of Colloidal Graphite Coating to Reduce Magnetic Resonance Imaging A... |
In this article, we learn about non-deterministic turing machines - a generalization of the standard deterministic turing machine from a uniquely determined sequence of computation steps to several possible sequences of computational steps.
A formal definition.
Properties of non-deterministic turing machines.
The compl... |
How can you determine all of the zeroes (real and
How can you determine all of the zeroes (real and imaginary) of the polynomial function:
P\left(x\right)={x}^{4}+2{x}^{3}-9{x}^{2}-10x-24?
You can expect any factors to divide -24, the constant term over the lead coefficient. So check 1, 2, 3, 4, 6,12, 24 and their nega... |
Is this the recursive formula for geometric sequences? \begin{cases}a_1=first\ term\\a_n=r\times a_{n-1}\end{cases}
Is this the recursive formula for geometric sequences?\begin{cases}a_1=first\ term\\a_n=r\times a_{n-1}\end{cases}
Is this the recursive formula for geometric sequences?
\left\{\begin{array}{l}{a}_{1}=fir... |
Translate the following verbal statement into an algebraic
Translate the following verbal statement into an algebraic equation and then solve: Use xx for your variable. The difference of four times a number and seven is ten more than the number.
difference of four times a number and seven is ten mote than the numbers.
... |
Triangles - Orthocenter Practice Problems Online | Brilliant
The orthocenter is the intersection of which 3 lines in a triangle?
Angle Bisectors of triangle Perpendicular Bisector of sides of triangle Altitudes of triangle Medians of triangle
Where is the orthocenter of an obtuse triangle?
Outside of the triangle Insid... |
LMIs in Control/Matrix and LMI Properties and Tools/Change of Subject - Wikibooks, open books for an open world
LMIs in Control/Matrix and LMI Properties and Tools/Change of Subject
A Bilinear Matrix Inequality (BMI) can sometimes be converted into a Linear Matrix Inequality (LMI) using a change of variables. This is a... |
Working with MAD Portfolio Constraints Using Defaults - MATLAB & Simulink - MathWorks í•œêµ
Xâ{R}^{n}
When setting up your portfolio set, ensure that the portfolio set satisfies these conditions. The most basic or “default†portfolio set requires portfolio weights to be nonnegative (using the lower-bound constra... |
Joint torques that cancel velocity-induced forces - MATLAB velocityProduct - MathWorks Nordic
\frac{d}{dt}\left[\begin{array}{c}q\\ \stackrel{˙}{q}\end{array}\right]=\left[\begin{array}{c}\stackrel{˙}{q}\\ M{\left(q\right)}^{-1}\left(-C\left(q,\stackrel{˙}{q}\right)\stackrel{˙}{q}-G\left(q\right)-J{\left(q\right)}^{T}{... |
Maurice and Lester are twins who have just graduated from
Maurice and Lester are twins who have just graduated from college.They have both been offered jobs where their take-home pay would be $2500 per month
Maurice and Lester are twins who have just graduated from college. They have both been offered jobs where their ... |
\text{Misplaced \hline}
The ratio of consecutive values is not constant. therefore, it is not an exponential function. (Note that the difference of consecutive values is constant. therefore, this is a linear function.)
A=33.1e0.009t
A=28.2e0.034t
Graph each function and tell whether it represents exponential growth, ex... |
North West Corner Method | Method to Solve Transportation Problem | Transportation Model | Education Lessons
The North West corner method is one of the methods to obtain a basic feasible solution of the transportation problems (special case of LPP).
We will now see how to apply this very simple method to a transportati... |
Key Strategies Practice Problems Online | Brilliant
In addition to learning about various methods and formulas, this course will also expose you to meta-strategies for problem-solving. Some of these apply generally; others are specifically for math contests at the level of the AMC.
Often, it's useful to think about an ... |
4.7 Markers | IOTA Wiki
This section specifies the requirements for the marker tool. A tool as defined here is a feature that adds functionality to the node software but is not an essential component. The marker tool improves the efficiency with which certain properties can be checked or certain metrics calculated.
The... |
Radiation astronomy/Mesons - Wikiversity
{\displaystyle p^{+}+{\bar {p}}^{-}\rightarrow \pi ^{+}+\pi ^{-},}
{\displaystyle {\pi }^{+}\rightarrow {\mu }^{+}+{\nu }_{\mu }\rightarrow e^{+}+{\nu }_{e}+{\bar {\nu }}_{\mu }+{\nu }_{\mu },}
{\displaystyle D_{S}\rightarrow \tau +{\bar {\nu }}_{\tau }\rightarrow \nu _{\tau }+{... |
Drift-rate model component - MATLAB - MathWorks India
Create a drift Object
Drift-rate model component
The drift object specifies the drift-rate component of continuous-time stochastic differential equations (SDEs).
The drift-rate specification supports the simulation of sample paths of NVars state variables driven by ... |
Centrum Wiskunde & Informatica: The itinerant list update problem
N.K. Olver (Neil), K. Pruhs (Kirk), K. Schewior (Kevin), R.A. Sitters (René) and L. Stougie (Leen)
Presented at the Workshop on Approximation and Online Algorithms (August 2018), Helsinki, Finland
We introduce the itinerant list update problem (ILU), whi... |
Abstract Algebra/Group Theory/Subgroup/Coset/a Group is Partitioned by Cosets of Its Subgroup - Wikibooks, open books for an open world
Abstract Algebra/Group Theory/Subgroup/Coset/a Group is Partitioned by Cosets of Its Subgroup
2.1 Cosets of H are Subsets of G
2.2 Each Element of G is in a Coset of H
2.3 The Cosets o... |
DC-to-DC converter that supports bidirectional boost and buck - Simulink - MathWorks América Latina
Bidirectional DC-DC
VoltCmd
SrcVolt
LdVolt
SrcCurr
Converter response time constant
Converter response initial voltage, Vinit
Converter power limit, Plimit
Overall DC to DC converter efficiency, eff
Vector of voltages (v... |
Brake — Wikipedia Republished // WIKI 2
Mechanical device that inhibits motion
This article is about the vehicle component. For other uses, see Brake (disambiguation).
Not to be confused with Break.
Disc brake on a motorcycle
A brake is a mechanical device that inhibits motion by absorbing energy from a moving system.[... |
A scale-space approach with wavelets to singularity estimation
Bigot, Jérémie
This paper is concerned with the problem of determining the typical features of a curve when it is observed with noise. It has been shown that one can characterize the Lipschitz singularities of a signal by following the propagation across sc... |
Compare accuracies of two classification models by repeated cross-validation - MATLAB testckfold - MathWorks Benelux
Estimate the classification loss by comparing the two sets of estimated labels to the true labels. Denote
{e}_{crk}
as the classification loss when the test set is fold k in run r of classification model... |
For each topic, decide which type of association a scatterplot
For each topic, decide which type of association a scatterplot of the data would likely show.Outdoor temperature and layers of clothing
For each topic, decide which type of association a scatterplot of the data would likely show. Explain your choice.
Outdoo... |
Gamma inverse cumulative distribution function - MATLAB gaminv - MathWorks Italia
Compute Gamma icdf
Confidence Interval of Gamma icdf Value
Gamma icdf
Gamma inverse cumulative distribution function
x = gaminv(p,a)
x = gaminv(p,a,b)
[x,xLo,xUp] = gaminv(p,a,b,pCov)
[x,xLo,xUp] = gaminv(p,a,b,pCov,alpha)
x = gaminv(p,a)... |
Interpolate by a factor of two using polyphase IIR - MATLAB - MathWorks España
H\left(z\right)=0.5*\left[{A}_{1}\left({z}^{2}\right)+{z}^{-1}{A}_{2}\left({z}^{2}\right)\right]
{A}_{1}\left(z\right)=\prod _{k=1}^{{K}_{1}}\frac{{a}_{k}^{\left(1\right)}+{z}^{-1}}{1+{a}_{k}^{\left(1\right)}{z}^{-1}}
{A}_{2}\left(z\right)=\... |
Numerical Simulation of Pre- and Postsurgical Flow in a Giant Basilar Aneurysm | J. Biomech Eng. | ASME Digital Collection
Vitaliy L. Rayz,
, VA Medical Center-San Francisco, 4150 Clement Street, San Francisco, CA 94121
e-mail: vlrayz@gmail.com
Michael T. Lawton,
Director of Cerebrovascular Disorders Program, Assistant... |
MATLAB Programming/Nichols Plot - Wikibooks, open books for an open world
MATLAB Programming/Nichols Plot
2 MATLAB's Nichols Command
2.1 Issues with the nichols command
This article is on the topic of creating Nichols plots in MATLAB. The quick answer is use the Nichols command. However, the Nichols command has several... |
Page 7-7: The CS559 Framework Code (GraphicsTown)
Box 1: Prelude to Graphics Town
For the remaining parts of the workbook (two exercises), you will work with some framework code we have created for this class. Learning to work with the Framework code is important practically (you will use it on all of the assignments f... |
KIEAE Journal. 2022; 22(2):5
The International Journal of The Korea Institute of Ecological Architecture and Environment - Vol. 22, No. 2, pp.5-11
*PhD, Associate Professor, School of Architecture and Design Convergence, Hankyong National Univ., South Korea architectism@hknu.ac.kr
Thermal Dissatisfaction, Heating Energ... |
Numerical Simulation of Stochastic Kuramoto-Sivashinsky Equation
Numerical Simulation of Stochastic Kuramoto-Sivashinsky Equation
Ping Gao*, Chengjian Cai, Xiaoyi Liu
College of Mathematics and Information Science, Guangzhou University, Guangzhou, China
In this paper, the random Kuramoto-Sivashinsky equation with add... |
Pictures of Julia and Mandelbrot Sets/Julia and Mandelbrot sets for non-complex functions - Wikibooks, open books for an open world
Pictures of Julia and Mandelbrot Sets/Julia and Mandelbrot sets for non-complex functions
{\displaystyle f(z)}
{\displaystyle f_{x}(x,y)}
{\displaystyle f_{y}(x,y)}
{\displaystyle {\frac {... |
m (→Overview: Updated Intro)
WorldView-1, WorldView-2 and WorldView-3 are commercial earth observation satellites. Details about the sensors are provided at Digital Globe's collection of [http://www.digitalglobe.com/resources/satellite-information Spacecraft Data Sheets].
It is recommended -- actually it is a necessit... |
Basics of Linear Programming | Education Lessons
At the time of World War- II, G.B. Dantzing was working with US Air force and he was facing many problems such as allocation of weapons to different war locations, military logistics, etc. Since available resources are limited (restricted), it was very crucial to allocat... |
In this article, we learn about syntax-directed translation schemes, a complementary notation to syntax-directed definitions.
Postfix translation schemes.
Parser-stack implementation of postfix SDTs.
SDTs with actions inside productions.
Eliminating left-recursion.
SDTs for L-Attributed definitions.
A translation schem... |
(→Bandlimitation and timing: Squares like LaTeX, more.)
Well, we can say it's a waveform that's
some positive value for half a cycle and then transitions
instantaneously to a negative value for the other half. But that doesn't
really tell us anything useful about how this input
becomes this output .
Then we remember t... |
Radiation astronomy/Opticals/Quiz - Wikiversity
Radiation astronomy/Opticals/Quiz
< Radiation astronomy/Opticals
Optical astronomy is a lecture and an article as part of the astronomy department course on the principles of radiation astronomy.
You are free to take this quiz based on optical astronomy at any time.
2 Tru... |
Cellular Automaton Practice Problems Online | Brilliant
In Classical Mechanics, you're going to learn how to predict the motion of classical systems like springs, rockets, and helicopters by thinking in terms of force and energy. But physics is more than an accounting system for forces that predicts how objects move.
A... |
Iota and Jot - Wikipedia
Iota, Jot, Zot
Formal language, Turing tarpit, esoteric
2001 / 2001; 21 years ago (2001)
Scheme, JavaScript
Scheme interpreter, Web browser (JavaScript)
www.nyu.edu/projects/barker
In formal language theory and computer science, Iota and Jot (from Greek iota ι, Hebrew yodh י, the smallest lette... |
One pass code generation.
Backpatching for boolean expressions.
Flow-control statements.
Break, continue and goto statements.
An issue with generating code for boolean expressions or flow control statements involves matching a jump instruction with the target of the jump.
The translation of a boolean expression (B) S c... |
Which set of ordered pairs could be generated by an
Which set of ordered pairs could be generated by an exponential function?
\left(1,1\right)\left(2,\frac{1}{2}\right)\left(3,\frac{1}{3}\right)\left(4,\frac{1}{4}\right)
\left(1,1\right)\left(2,\frac{1}{4}\right)\left(3,\frac{1}{9}\right)\left(4,\frac{1}{16}\right)
\le... |
On a trip, the total distance (in miles) you travel
On a trip, the total distance (in miles) you travel in x hours is represented by
On a trip, the total distance (in miles) you travel in x hours is represented by the piccewise function.
d\left(x\right)=\left\{\begin{array}{ll}55x,& if\text{ }0\le x\le 2\\ 65x-20,& if\... |
(→Bandlimitation and timing: move graphics around)
* Panel 0: This panel presents buttons that allow the sound card to be configured in several sampling rates and bit depths. Samples read from the audio inputs are sent to the output pipes and audio outputs for playback without modification.
{\displaystyle \ x(t)={\beg... |
Conic Sections/Identifying Conics - Wikibooks, open books for an open world
Conic Sections/Identifying Conics
< Conic Sections
1 Identifying Conics
1.1.1 Example 1: (Ellipse) '"`UNIQ--postMath-00000006-QINU`"'
1.1.2 Example 2: '"`UNIQ--postMath-00000019-QINU`"'
1.1.3 Example 3: '"`UNIQ--postMath-0000001A-QINU`"'
1.1.4 ... |
Range of 3 sin theta+4 cos theta+2= - Maths - Relations and Functions - 9247467 | Meritnation.com
Range of 3 sin theta+4 cos theta+2=?
\mathrm{Consider} \mathrm{the} \mathrm{expression}.\phantom{\rule{0ex}{0ex}} 3\mathrm{sin\theta }+4\mathrm{cos\theta }+2\phantom{\rule{0ex}{0ex}}\mathrm{Note} \mathrm{that} \mathrm{the}... |
LMIs in Control/Matrix and LMI Properties and Tools/Passivity and Positive Realness - Wikibooks, open books for an open world
LMIs in Control/Matrix and LMI Properties and Tools/Passivity and Positive Realness
This section deals with passivity of a system.
{\displaystyle {\begin{aligned}\ {\dot {x}}=Ax+Bu\\\ y=Cx+Du\\\... |
First-to-Default Swaps - MATLAB & Simulink - MathWorks France
Formally, if the time to default of a particular issuer is denoted by
\tau
, and we know its default probability function
P\left(t\right)
, a latent variable
A
and corresponding thresholds
C\left(t\right)
Pr\left(\tau \le t\right)=P\left(t\right)=Pr\left(A\l... |
Oxygen Transport in Brain Tissue | J. Biomech Eng. | ASME Digital Collection
Education and Research Center for Frontier Science and Engineering,
, 1-5-1 Chofugaoka, Chofu-shi, Tokyo 182-8585, Japan
e-mail: masamoto@mce.uec.ac.jp
Department of System Design Engineering,
, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama 223-8522, Ja... |
Numerical on PERT (Program Evaluation and Review Technique) | Education Lessons
For the given activities determine:
1. Critical path using PERT.
2. Calculate variance and standard deviation for each activity.
3. Calculate the probability of completing the project in 26 days.
Solution: First of all draw the network diag... |
Revision as of 01:20, 29 July 2013 by NikosA (talk | contribs) (→Pan Sharpening: one approach creating a color-balanced pan-sharpened composite from 11-bit bands)
{\displaystyle {\frac {W}{m^{2}*sr*nm}}}
{\displaystyle L\lambda ={\frac {10^{4}*DN\lambda }{CalCoef\lambda *Bandwidth\lambda }}}
{\displaystyle \rho _{p}={... |
Triple DES - Wikipedia
(Redirected from TripleDES)
48 DES-equivalent rounds
Lucks: 232 known plaintexts, 2113 operations including 290 DES encryptions, 288 memory; Biham: find one of 228 target keys with a handful of chosen plaintexts per key and 284 encryptions
In cryptography, Triple DES (3DES or TDES), officially th... |
François Viète - Wikiquote
François Viète (1540 – 23 February 1603), Seigneur de la Bigotière, was a French mathematician, also known as Franciscus Vieta, Francois Vieta or Francois Viete, whose new algebra was an important step towards modern algebra, with innovations such as the use of letters as parameters in equati... |
Star | Brilliant Math & Science Wiki
Infinity Mathematics, S V, and Jimin Khim contributed
For further reference: A light year is the distance travelled by light in a vacuum in one year (approximately 9,460,730,472,580.8 kilometers or 5,878,625,373,183.6 miles). In this article, distances will be in light years unless ... |
Vapor Pressure and Raoult's Law | Brilliant Math & Science Wiki
Vapor Pressure and Raoult's Law
The molecules at the surface of a liquid are weakly bonded compared to the molecules beneath the surface. For this reason, the molecules at the surface easily vaporize at temperatures lower than the boiling point. This proce... |
Ramanujan Master Theorem | Brilliant Math & Science Wiki
Ramanujan Master Theorem
Rishabh Deep Singh, Tapas Mazumdar, and Jimin Khim contributed
In mathematics, Ramanujan's master theorem (named after mathematician Srinivasa Ramanujan) is a technique that provides an analytic expression for the Mellin transform of a fu... |
High School Calculus/The Length of a Plane Curve - Wikibooks, open books for an open world
High School Calculus/The Length of a Plane Curve
Length of a Plane Curve[edit | edit source]
{\displaystyle y=x^{\frac {3}{2}}}
is a curve in the x-y plane. How long is that curve? A definite integral needs endpoints and we speci... |
Health Overview - Mango Markets
Collateral, borrows and perp position values are summed up to give the Health metric
Each asset is weighted differently (Read: Asset Specs)
Health is used to determine liquidations and new position eligibility
The health of an account is used to determine if one can open a new position o... |
(Redirected from Statistical power)
{\displaystyle H_{0}}
{\displaystyle H_{1}}
{\displaystyle 1-\beta }
{\displaystyle \beta }
10.1 Bayesian power
10.2 Predictive probability of success
11 Software for power and sample size calculations
Main article: Type I and type II errors
{\displaystyle H_{1}}
{\displaystyle {\tex... |
Time Delays in Linear Systems - MATLAB & Simulink - MathWorks Benelux
First Order Plus Dead Time Model
Input and Output Delay in State-Space Model
Transport Delay in MIMO Transfer Function
Discrete-Time Transfer Function with Time Delay
Use the following model properties to represent time delays in linear systems.
Inpu... |
Condense the following log expression. -2\log_3(xy)+\frac{4}{5}\log_3z
Condense the following log expression.-2\log_3(xy)+\frac{4}{5}\log_3z^{1
Condense the following log expression.
-2{\mathrm{log}}_{3}\left(xy\right)+\frac{4}{5}{\mathrm{log}}_{3}{z}^{10}+{\mathrm{log}}_{3}\left(x+1\right)
x{\mathrm{log}}_{a}b={\mathr... |
On the minimizing point of the incorrectly centered empirical process and its limit distribution in nonregular experiments
{F}_{n}
be the empirical distribution function (df) pertaining to independent random variables with continuous df
F
. We investigate the minimizing point
{\stackrel{^}{\tau }}_{n}
of the empirical ... |
Mode | Brilliant Math & Science Wiki
Mode is that observation in a frequency distribution which occurs the maximum times in the frequency distribution, or technically speaking, which has the highest frequency. Mode is derived from the French word La Mode which means fashion. A frequency distribution may have one or mor... |
Let’s use the random vector
x
to represent an uncertain state, and the random vector
z
to represent an uncertain measurement. Even before making any actual measurements, we should have prior idea of the likelihoods of different values of the combined vector
\begin{bmatrix} x\\ z \end{bmatrix}
. These are subjective ass... |
5.2 Ledger State | IOTA Wiki
The introduction of a voting-based consensus requires a fast and easy way to determine a node's initial opinion for every received transaction. This includes the ability to both detect double spends and transactions that try to spend non-existing funds. These conditions are fulfilled by the... |
Double Chooz - Wikipedia
The Double Chooz logo
Double Chooz was a short-baseline neutrino oscillation experiment in Chooz, France. Its goal was to measure or set a limit on the θ13 mixing angle, a neutrino oscillation parameter responsible for changing electron neutrinos into other neutrinos. The experiment uses reacto... |
energy - Maple Help
Home : Support : Online Help : Science and Engineering : Units : Known Units : energy
Energy has the dimension mass length squared per time squared. The SI unit of energy is the joule, which is defined as a kilogram meter squared per second squared.
Work and heat are physical quantities with the sam... |
The solution for the equation. Use the change of base
The solution for the equation. Use the change of base formula to approximate axa
The solution for the equation. Use the change of base formula to approximate axact answer to the nearest hundredth when approximate.
2×{10}^{x}=66
doplovif
Change of base formula for lo... |
The Rational(f, k) command computes a closed form of the indefinite sum of
k
f\left(k\right)
s\left(k\right)
t\left(k\right)
f\left(k\right)=s\left(k+1\right)-s\left(k\right)+t\left(k\right)
t\left(k\right)
k
\textcolor[rgb]{0.564705882352941,0.564705882352941,0.564705882352941}{\sum }_{k}t\left(k\right)
g,[p... |
Game semantics - Wikipedia
Game semantics (German: dialogische Logik, translated as dialogical logic) is an approach to formal semantics that grounds the concepts of truth or validity on game-theoretic concepts, such as the existence of a winning strategy for a player, somewhat resembling Socratic dialogues or medieval... |
We can place a point in a plane by polar coordinates
(r, \ \theta).
e^{i\theta} = \cos{\theta} + i \sin{\theta}.
Employing this formula, we have
r e^{i\theta} = r \cos{\theta} + i r \sin{\theta} = x + iy,
so we have Cartesian coordinates
(x, \ y)
from the polar coordinates. Therefore, a point in a plane can be represen... |
High School Calculus/Evaluating Definite Integrals - Wikibooks, open books for an open world
High School Calculus/Evaluating Definite Integrals
Evaluating a Definite Integral[edit | edit source]
Let's say you have the parabola
{\displaystyle x^{2}}
and you want to find the area from x=2 to x=4
{\displaystyle 2\leq A\le... |
Network Analysis - Dealing with Network Construction Basics | Education Lessons
Many of you are engineering students, and you will be Project Managers soon in your particular field. Also, many of you are working as Project managers.
So, this topic of network analysis is related all such management work.
Why Network Dia... |
Measurement and Memory Practice Problems Online | Brilliant
In the last quiz, we encountered head-on the measurement problem in quantum mechanics: we could not devise an experiment capable of measuring the neutron spin components without destroying previously collected information along the way. It appears that the exp... |
Dioptre Knowpia
A dioptre (British spelling) or diopter (American spelling) is a unit of measurement with dimension of reciprocal length, equivalent to one reciprocal metre, 1 dioptre = 1 m−1. It is normally used to express the optical power of a lens or curved mirror, which is a physical quantity equal to the reciproc... |
Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method
Solving the Linear Oscillatory Problem without Damping with Random Loading Condition Using the Decomposition Method
Amnah S. Al-Juhani*, Aleh A. Al-Shammari
Faculty of Science, Tabuk University, Tabuk, ... |
Bon, Jean-Louis ; Păltănea, Eugen
The paper is motivated by the stochastic comparison of the reliability of non-repairable
k
-out-of-
n
systems. The lifetime of such a system with nonidentical components is compared with the lifetime of a system with identical components. Formally the problem is as follows. Let
{U}_{i}... |
SAT Data - Graphs and Charts | Brilliant Math & Science Wiki
SAT Data - Graphs and Charts
To successfully solve problems about graphs and charts on the SAT, you need to know how to create and read:
SAT Tips for Data - Graphs and Charts
The graph above shows the cost of manufacturing of two products, A and B, per year. ... |
Multisignal 1-D wavelet packet transform - MATLAB dwpt - MathWorks España
Multichannel Discrete Wavelet Packet Transform
packetlevels
Multisignal 1-D wavelet packet transform
wpt = dwpt(X)
wpt = dwpt(X,wname)
wpt = dwpt(X,LoD,HiD)
[wpt,l] = dwpt(___)
[wpt,l,packetlevels] = dwpt(___)
[wpt,l,packetlevels,f] = dwpt(___)
[... |
Revision as of 20:39, 4 August 2013 by NikosA (talk | contribs) (→Deriving Physical Quantities: script added)
{\displaystyle {\frac {W}{m^{2}*sr*nm}}}
{\displaystyle L_{\lambda {\text{Pixel, Band}}}={\frac {K_{\text{Band}}*q_{\text{Pixel, Band}}}{\Delta \lambda _{\text{Band}}}}}
{\displaystyle L_{\lambda {\text{Pixel,... |
WRITE A RULE FOR THE nth TERM OF THE ARITHMETIC SEQUENCE THEN FIND a_25: {1.6,4,
WRITE A RULE FOR THE nth TERM OF THE ARITHMETIC SEQUENCE THEN FIND a_25: {1.6,4,6.4,8.8,11.2,…} *
WRITE A RULE FOR THE nth TERM OF THE ARITHMETIC SEQUENCE THEN FIND
{a}_{25}
: {1.6,4,6.4,8.8,11.2,…} *
tabuordg
{a}_{n}=2.4n-0.8,{a}_{25}=59.... |
Equations - EXODIA
deposit = withdrawal
Swaps between EXOD and sEXOD during staking and unstaking are always honored 1:1. The amount of EXOD deposited into the staking contract will always result in the same amount of sEXOD. And the amount of sEXOD withdrawn from the staking contract will always result in the same amou... |
High School Calculus/Implicit Differentiation - Wikibooks, open books for an open world
High School Calculus/Implicit Differentiation
Implicit Differentiation[edit | edit source]
When a functional relation between x and y cannot be readily solved for y, the preceding rules may be applied directly to the implicit functi... |
Solve the equation. \frac{2x}{2x+3}+\frac{6}{4x+6}=5
\frac{2x}{2x+3}+\frac{6}{4x+6}=5
\frac{2x}{2x+3}+\frac{6}{4x+6}=5
To solve this equation:
A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]
\stackrel{―}{x}=
Convert the given polar equation to a Cartesian... |
â ‹Please solve in a diagrammed manner: - Maths - Playing with Numbers - 12489521 | Meritnation.com
Please solve in a diagrammed manner:
Find the value of A, B and C in :\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}} 8 A\phantom{\rule{0ex}{0ex}}+8 B\phantom{\rule{0ex}{0ex}}_________\phantom{\rule{0ex}{0ex}}C B 3\p... |
Position-Time Graph | Brilliant Math & Science Wiki
Sravanth C., Tim O'Brien, and Jimin Khim contributed
Position-time graphs are the most basic form of graphs in kinematics, which allow us to describe the motion of objects. In these graphs, the vertical axis represents the position of the object while the horizontal a... |
student(deprecated)/completesquare - Maple Help
Home : Support : Online Help : student(deprecated)/completesquare
completesquare(f)
completesquare(f, x)
one or more of the indeterminates occurring in f
Important: The student package has been deprecated. Use the superseding command Student[Precalculus][CompleteSquare] i... |
Distance, Rate, and Time | Brilliant Math & Science Wiki
Janae Pritchett, Brilliant Mathematics, Johnny Gérard, and
A rate of change is the ratio between the change in one quantity to the change in another quantity. A very common rate is speed, the ratio between distance and time.
While traveling in your car, your rate... |
Revision as of 19:28, 31 July 2013 by NikosA (talk | contribs) (→Post-Processing: some re-structuring)
{\displaystyle {\frac {W}{m^{2}*sr*nm}}}
{\displaystyle L\lambda ={\frac {10^{4}*DN\lambda }{CalCoef\lambda *Bandwidth\lambda }}}
{\displaystyle \rho _{p}={\frac {\pi *L\lambda *d^{2}}{ESUN\lambda *cos(\Theta _{S})}}... |
High School Calculus/The Chain Rule - Wikibooks, open books for an open world
High School Calculus/The Chain Rule
When differentiating a square root function or a quantity raised to a power the chain rule is used.
{\displaystyle (ax^{n}+b)^{n}}
Using the chain rule we take the derivative of the entire quantity to the p... |
Torque in the rotational form of Newton's second law | Brilliant Math & Science Wiki
Torque in the rotational form of Newton's second law
Dale Gray, Nihar Mahajan, Josh Silverman, and
In the consideration of the motion of composite systems, it is often necessary to consider the effects of forces applied at different po... |
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