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1. Probability p(k) denotes the probability of exactly k successes in n independent trials of a random experiment in which the probability of a success is p. q=1-p How do you show that : p(k+1) = (n-k)p , k=0,1,2,...,n-1 p(k) (k+1)q 2. Originally Posted by Pink Lady p(k+1) = (n-k)p , k=0,1,2,...,n-1 p(k) (k+1)q Can y...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7673
### April 2009 Suppose you have a proper map $f:X \rightarrow Y$ between smooth (quasi) projective varieties.  Then suppose you have a coherent sheaf $F$ on $X$.  After viewing that sheaf as an element of the Grothendieck Group of coherent sheaves on $X$, there are two things you could do.  The first thing is that you...
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# IBPS Clerk :: Reasoning Ability :: Test 4 IBPS Recruitment Latest Govt Jobs ## Home IBPS Clerk / Reasoning Ability Test 4 Questions and Answers 1 . The following questions are based on the diagram given below: Which of the following groups represents the group of Lions and Tigers but not Dogs? H, I I, D , H G, K ,...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7675
#### Volume 22, issue 2 (2018) Recent Issues The Journal About the Journal Subscriptions Editorial Board Editorial Interests Editorial Procedure Submission Guidelines Submission Page Ethics Statement Author Index To Appear ISSN (electronic): 1364-0380 ISSN (print): 1465-3060 Other MSP Journals Long-time behavior of ...
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00004-of-00114-3158c787ea8296d3_doc_7676
### Home > CALC > Chapter 3 > Lesson 3.2.2 > Problem3-62 3-62. Hanah wrote this derivative function: $f ^ { \prime } ( x ) = \lim\limits_ { h \rightarrow 0 } \frac { ( ( x + h ) ^ { 2 } - 3 ) - ( ( x - h ) ^ { 2 } - 3 ) } { 2 h }$ 1. What is $f(x)$? Hanah's (symmetrical difference) definition of the derivative; $f'...
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1D scaled rectangle bisecting a known rectangle hi.. I need to fit a rectangle of fixed height (a) inside a known rectangle and have all four corners touch. the top image is an example of a solved problem.. i don't need to know those numbers anymore-- i can figure them out.. but- i drew that one backwards (drew the ...
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# Question about pointwise convergence of sequences in the box and product topologies. Can someone please verify my proof or offer suggestions for improvement? I'm aware that there may be answers floating elsewhere, but I need help with my proof in particular. $\textbf{Note:}$ This is not homework. Let $x_1, x_2, \l...
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Complicated delta function integral 1. Oct 29, 2012 helpcometk 1. The problem statement, all variables and given/known data Hi guys ,please look at the integral on the attachement.Does anyone have seen this integral before ? 2. Relevant equations We have the following two properties : ∫δ'(x-x0)f(x) dx =-f'(x0) δ(...
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Free Version Easy # Vector Distance: Basic Vector Distance in R^3 LINALG-EE08I3 If $\boldsymbol{u} = \begin{bmatrix} -1\\\ -1\\\ 3\end{bmatrix}$ and $\boldsymbol{v} = \begin{bmatrix} 0\\\ -5\\\ 3\end{bmatrix}$, then compute the distance between $\boldsymbol{u}$ and $\boldsymbol{v}$. A $\sqrt{17}$ B $4$ C $3\sq...
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Identify the Sequence 1 , 8 , 16 , 24 , 32 , , , , The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term. Not a Geometric or Arithmetic Sequence Identify the Sequence 1 , 8 , 16 , 24 , 32
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# A Conversational War of Attrition A Conversational War of Attrition Abstract We explore costly deliberation by two differentially informed and possibly biased jurors: A hawk Lones and a dove Moritz alternately insist on a verdict until one concedes. Debate assumes one of two genres, depending on bias: A juror, say L...
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# Trying to understand formula for the Survival Function (survival analysis) I'm trying to learn the Cox Proportional Hazards Model on my own, and found this link that describes it in clear terms. But when I get to Formula (5) ($S(t) = \exp(−H(t))$) I can't figure out where that's coming from. On the author's previous...
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### Chocolate There are three tables in a room with blocks of chocolate on each. Where would be the best place for each child in the class to sit if they came in one at a time? ### F'arc'tion At the corner of the cube circular arcs are drawn and the area enclosed shaded. What fraction of the surface area of the cube...
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# Non-decreasing probability of detecting the most-likely event from a multinomial distribution I examine a multinomial distribution with parameters $\\vec{p} = [p_1, p_2, \\ldots, p_s]$. I denote the cells by $C = \{ c_1, c_2, \\ldots, c_s\}$. In this setting $p_{[i]}$ is the $i^{\\text{th}}$ highest probability. Tha...
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# Homework Help: Probability for Quantum tunnelling 1. Dec 19, 2012 ### iAlexN 1. The problem statement, all variables and given/known data A particle with the energy E < V$_{0}$ (V$_{0}$ > 0) moves in the potential V(x) = 0, x<0 ; V(x)= V$_{0}$, 0<x<d and V(x)= 0, x>d. Measure the probability that the particle will...
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# Determinant of a block lower triangular matrix I'm trying to prove the following: Let $A$ be a $k\times k$ matrix, let $D$ have size $n\times n$, and $C$ have size $n\times k$. Then, $$\det\left(\begin{array}{cc} A&0\\ C&D \end{array}\right) = \det(A)\det(D).$$ Can I just say that $AD - 0C = AD$, and I'm done? - ...
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# Which is the correct definition of stationary point for real-valued functions in Euclidean space? Given a multivariable real-valued function $f$ whose first partials all exist (but which aren't all continuous) at $p$, it is possible that $f$ is not (totally) differentiable at $p$. But since the first partials all ex...
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# Question about the definition of hamiltonian group action. So I'm reading the part in Ana Cannas da Silva's book "Lectures on Symplectic Geometry" available (on her website) about hamiltonian group actions on a symplectic manifold. She starts by defining $\mathbb R$-actions and $\mathbb S^1$ actions by saying that t...
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# Poincaré-Birkhoff-Witt theorem Let $\mathfrak{g}$ be a Lie algebra over a field $k$, and let $B$ be a $k$-basis of $\mathfrak{g}$ equipped with a linear order $\leq$. The Poincaré-Birkhoff-Witt-theorem (often abbreviated to PBW-theorem) states that the monomials $x_{1}x_{2}\cdots x_{n}\text{ with }x_{1}\leq x_{2}\...
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# Matrix algebra algebra of matrices A subalgebra of the full matrix algebra $F _ {n}$ of all $( n \times n)$- dimensional matrices over a field $F$. The operations in $F _ {n}$ are defined as follows: $$\lambda a = \| \lambda a _ {ij} \| ,\ \ a + b = \| a _ {ij} + b _ {ij} \| ,$$ $$ab = c = \| c _ {ij} \| ,\ c _ {...
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# How do you find a standard form equation for the line with slope -2 and y-intercept 8? Jun 20, 2018 $y = - 2 x + 8$ #### Explanation: We have given $y = m x + n$ where $m$ denotes the slope and $n$ is the y-intercept, so $m = - 2$ and $n = 8$ Jun 20, 2018 $2 x + y = 8$ #### Explanation: $\text{the equation o...
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# 1234ab $$a$$ and $$b$$ are digits chosen from 0 to 9. The number $$\overline{1234ab}$$ is a multiple of 9 and 11. What is the value of $$\overline{ab}$$? Details and assumptions $$\overline{abc}$$ means $$100a + 10b + 1c$$, as opposed to $$a \times b \times c$$. As an explicit example, for $$a=2, b=3, c=4$$, $$\ov...
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# Converse of each corresponding angles theorem The corresponding angles theorems include theorems such as the alternate interior angles theorem. These theorems are typically taught as part of a high-school geometry curriculum. A good curriculum will also include the proof of each theorem. However, what I have yet to ...
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# Length minimizing graphs between a finite set of points Consider a set of $$n$$ points in the plane. Among all the connected graphs (trees) $$T$$ in the plane that have these $$n$$ points among their vertices, I am looking to find one such that the sum of its edge lengths is minimum. Note that this question is diffe...
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# Lambda Calculus: Subtraction is hard In the last article I defined the Succ operation on numbers and showed how this can be used to implement addition in untyped lambda calculus. Because of the number representation I choose this was rather easy so Subtraction should be not that hard right? Well … wrong. You migh...
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# Parabola in Polar Coordinates Printable View • March 4th 2011, 06:13 AM Hamed Parabola in Polar Coordinates Hello, I know parabola coordinate and that is z=X^2+Y^2 and I can use polar coordinate too. Now I want to shift my Parabola PI/4 like what you see in picture please help me to find formula. • March 4th 2011, ...
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## Wikipedia - Carica elementare (it) Wikipedia - شحنة أولية (ar) elementary charge, $$e$$ https://doi.org/10.1351/goldbook.E02032 The elementary charge, $$e$$, is one of seven fixed constants defining the International System of Units, the SI, with $$e = 1.602\ 176\ 634\ \times 10^{-19}\ \text{C}$$. The elementary ch...
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### Theory: As we know, human a made up of cells in which various metabolic activities. The body does not utilize all the different metabolic products produced by these biochemical reactions. Some include certain nitrogenous toxic waste substances, which are excretory products. In humans, the primary excretory produc...
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The Lindhard Function Hong Yao April 15, 2008 (Submitted as coursework for Physics 372, Stanford University, Spring 2008) Response functions of a material is of vital importance to understand its physical properties and have attracted great attentions in condensed matter physics. They are intimately related to the m...
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# Eigenvalues and eigenvectors 1. May 28, 2009 ### Jennifer1990 1. The problem statement, all variables and given/known data Let A and B be similar matrices a)Prove that A and B have the same eigenvalues 2. Relevant equations None 3. The attempt at a solution Firstly, i dont see how this can even be possible unles...
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# A Followup on Lewis Carroll's Pillow Problem ### Solution 1 (Correct, short) Prior odds in favor of two white counters in the second bag is $w:b,$ but drawing $w$ is twice as likely under $ww,$ then under $bw$ so posterior odds in favor are $2w:b,$ i.e. $\displaystyle Prob(ww|\text{drawn }w)= \frac{2w}{2w+b}.$ ###...
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Forums > Pricing & Modelling > On the General Solution of Initial Value Problems of Ordinary Differential Equations Using the Method of Iterated Integrals. Page 1 of 2 Goto to page: [1], 2 Next Display using: amin Total Posts: 264 Joined: Aug 2005 Posted: 2016-11-20 02:55 https://papers.ssrn.com/sol3/papers.cfm?abs...
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# Do function with the following property have special name? I'm writing "a structure preserving surjection" way too much when I need to refer a function of the following property: $$Y \subseteq Z, X \subseteq Z. g: Z \to A, g \text{ is some fixed function}.$$ $$\phi : X \to Y, \phi \text{ is a surjection, and } g(\p...
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If you want to follow my new blog, please visit www.vadimkulikov.org ! A lot of new and unexpected stuff there ! Not only a blog, but also a podcast and much much more. ## (Ir)rational Behavior of Calculation We had the following set of exercises with a group of secondary school students (in Ressun lukio). Assume th...
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# Axiomatizations of complete theories This question was motivated by this recent question by Ricky Demer. In his paper $\Pi^0_1$ classes and Boolean combinations of recursively enumerable sets, Carl Jockusch showed that there is no completion of Peano Arithmetic which is a Boolean combination of computably enumerabl...
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# A company is considering which one of three alternative courses of action, A, B and C to take.... A company is considering which one of three alternative courses of action, A, B and C to take. The profit or loss from each choice depends on which one of four economic circumstances, I, II, III or IV will apply. The po...
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# Tag Info ## Hot answers tagged star 8 While I agree that it boils down to semantics, I actually disagree on the scientific use of the term in the comments. In astronomy, we know there's a difference between gas and plasma, but we almost always use the term "gas" when talking about what's in stars. E.g. "the fracti...
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# Conditions for size of index For any element $$x \in A_5$$, we have that $$[A_5:C_{A_5}(x)]=\begin{cases} [S_5:C_{S_5}(x)], & \text{condition 1} \\ \frac{1}{2}[S_5:C_{S_5}(x)], & \text{condition 2} \end{cases}$$ Basically I want to know what the conditions are. Note that $$C$$ is the centralizer. I'm just talking...
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# T1/2 of a radioactive element is 60 minutes. The quantity left after 3 hours will be - This question was previously asked in Bihar CET B.Ed. Official Paper (Held on 16 Jan 2016) View all Bihar CET B.Ed Papers > 1. 17.5% 2. 12.5% 3. 25% 4. 50% Option 2 : 12.5% ## Detailed Solution Concept: The half-life of a radi...
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38 Answered Questions for the topic Exponential Johnny earns $25 each weekend for mowing his neighbor’s yard. He saves this money in a jar andstores it under his bed. What type of function would represent how much money Johnny has in his... more #### How do I graph exponential functions? very confusing! Which is the g...
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# Homework Help: 'Capacity' in vector calculus 1. Feb 24, 2009 ### Mathmos6 1. The problem statement, all variables and given/known data The capacity C of an object is the integral over its surface $-\int_S \frac{\partial \phi}{\partial n} dA$, where the potential φ(x) satisfies Laplace’s equation in the volume outs...
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# Double Angle Identity Solver, Formula - Trig Calculator Double Angle Trig Identity solver is used to solve the expression of trigonometric functions of angles equal to 2θ in terms of θ based on the trig identity formula. ## Double Angle Trig Identity • Enter θ angle in degree: • ### Result • Double Angle Trig I...
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Laco went (was sent) to a conference in Amsterdam for a reward. The conference fee was € 2536. Calculate how many books Ladislav could buy at the price of 46 and 54 euros if he doesn't want to fill the whole home library, and he can buy only 52 books? books by € 46:  34 books by € 54:  18 ### Step-by-step explanatio...
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### Home > CCA > Chapter 6 > Lesson 6.2.3 > Problem6-85 6-85. A human resources manager recorded the experience and hourly wage for a sample of 10 technology workers. 6-85 HW eTool (Desmos).  Experience (years)  Hourly Wage ($) $1$ $2$ $3$ $4$ $5$ $6$ $7$ $8$ $9$ $10$ $12.00$ $13.25$ $14.00$ $16.00$ $17.00$ $18.00$...
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# How do you simplify (x^2 y^3 + x y^2) / (xy)? Mar 9, 2018 See a solution process below: #### Explanation: First, rewrite the expression as: $\frac{{x}^{2} {y}^{3}}{x y} + \frac{x {y}^{2}}{x y}$ Now, cancel common terms in the numerators and denominators: $\frac{{x}^{\textcolor{red}{\cancel{\textcolor{b l a c k...
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# Math Help - Quadratic Functions- Maximum and Minimum Problems 1. ## Quadratic Functions- Maximum and Minimum Problems This problem is from the Addison-Wesley Mathematics 11 Text Book (Western Canada Edition) Section 2.5 - Maximum and Minimum problems pg. 131 Problem #16 A 30-cm piece of wire is cut in two. One p...
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# Factoring Polynomials ## Homework Statement Solve for x: 3x^3 + 2x^2 + 75x - 50 = 0 ## The Attempt at a Solution I have tried substituting multiple values for "x" so that we get a factor, f(x)=0 I cannot seem to find an "x" value that will make this function=0. Is there a way to factor this function or did the b...
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# Right Angled Triangle ## What is Triangle? A triangle is a regular polygon, with three sides and the sum of any two sides is always greater than the third side. This is a unique property of a triangle. In other definition, it can be said as any closed figure with three sides with its sum of angles equal to 180. Be...
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## Vectrors Quiz-12 As per analysis for previous years, it has been observed that students preparing for JEE MAINS find Mathematics out of all the sections to be complex to handle and the majority of them are not able to comprehend the reason behind it. This problem arises especially because these aspirants appearing ...
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# I Cordinates on a manifold #### kiuhnm Let $M$ be an $n$-dimensional (smooth) manifold and $(U,\phi)$ a chart for it. Then $\phi$ is a function from an open of $M$ to an open of $\mathbb{R}^n$. The book I'm reading claims that coordinates, say, $x^1,\ldots,x^n$ are not really functions from $U$ to $\mathbb{R}$, but...
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## xartaan 2 years ago Another differential equation $\frac{ dy }{ dt }=0.4(y-300)$ and y(0)=75. So, I separate the variables into dy/(y-300 = .4dt integrate both side for ln(y-300)=.4t+c exponentiate then add 300 to the right for y=300+e^(.4t+c). 1. xartaan Now I think I should use my initial value, so 75=300+e^c =>...
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# Calculation of This Pullback of a Differential Form Consider the differential form $$f dx$$ in $$\Omega^1 (\mathbb{R}^2)$$, where $$f \in C^{\infty }(M)$$. $$\Omega^1 (\mathbb{R}^2)$$ has basis $$\{ dx, dy \}$$. I am looking for a rigorous calculation of the pullback of $$dx$$ to $$\mathbb{R}$$ by some smooth map $...
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## On liquid crystal phase transitions between isotropic and nematic phase states #### Changyou WangPurdue University In this talk, I will consider asymptotic behavior of minimizers $Q_\epsilon$, as the parameter $\epsilon\rightarrow 0$, of the Landau- de Gennes energy $$E_{LdG}(Q)=\int_\Omega (f_e(\nabla Q)+\frac{1}...
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## Problem solving with money Linked from: Number and Algebra: Money and financial mathematics 115-124 ### Prerequisites • Subtraction strategies (Concept builder) • Understanding money amounts (Concept builder) • Addition of small amounts of money (Concept builder) • Change from $1 and$2 (Concept builder) • Change ...
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# Cauchy in measure question Let $w\in L^1(\mathbb{R}^d)$, where $w>0$. Let $\{f_n\}:\mathbb{R}^d\to\mathbb{R}$ be Lebesgue measurable functions such that $$\lim_{m,n\to\infty}\int_{|f_n-f_m|>t}w(x)\,dx=0$$ for any $t>0$. Prove that $\{f_n\}$ has a subsequence that converges almost everywhere to a measurable function...
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TEXT SIZE CrossRef (0) Generalized nonlinear percentile regression using asymmetric maximum likelihood estimation Juhee Leea, Young Min Kim1,a aDepartment of Statistics, Kyungpook National University, Korea Correspondence to: 1 Department of Statistics, Kyungpook National University, 80, Daehak-ro, Buk-gu, Daegu 415...
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# My First problem on Trigonometry....... Geometry Level 2 If $$\theta$$ is an acute angle and tan $$\theta$$ + cot $$\theta$$ = 2, find the value of $$tan^{7}$$ $$\theta$$ + $$cot^{7}$$ $$\theta$$ ×
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# $R/I\otimes$ pure exact sequence A right $R$-module short exact sequence $\xi:0\rightarrow A \rightarrow B \rightarrow C\rightarrow 0$ is called pure if $\xi \otimes M$ is also a short exact sequence for arbitrary left $R$-module $M$. Question: if $\xi \otimes R/I$ is exact for arbitrary left ideal $I$, is $\xi$ pu...
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# How do you solve e^(2x)-6e^x+8=0? Dec 10, 2015 Use ${e}^{2 x} = {\left({e}^{x}\right)}^{2}$ to see that this equation is quadratic in ${e}^{x}$. #### Explanation: ${e}^{2 x} - 6 {e}^{x} + 8 = 0$ ${\left({e}^{x}\right)}^{2} - 6 {e}^{x} + 8 = 0$ Factor without substituting $\left({e}^{x} - 4\right) \left({e}^{x}...
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Image and range of linear transformations Image and range of linear transformations Lessons Recall the matrix equation $Ax=b$ Normally, we say that the product of $A$ and $x$ gives $b$. Now we are going to say that $A$ is a transformation matrix that transforms a vector $x$ into a vector $b$ (we call $b$ an image o...
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## Bruce Lindsay (March 7, 1947 — May 5, 2015) Posted in Books, Running, Statistics, Travel, University life with tags , , , , , , , , , , , on May 22, 2015 by xi'an ## Le Monde puzzle [#902] Posted in Books, Kids, Statistics, University life with tags , , , , , , on March 8, 2015 by xi'an Another arithmetics Le Mo...
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# area of parallelogram calculator Other side length a = √( (p² + q² - 2b²) / 2 ), = arccos((50² - 53.35² - 12²) / (2 * 53.35 * 12)), = arccos((2500 - 2,846.2 - 144) / (1280.4)). For example, if the base is 5, and the height 3, then your area is. Find parallelogram sides length, one corner angle from the question. Cal...
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# Finding the system of linear equations defining a linear transformation Heres the textbook solution: The goal is to find a system of linear equations that defines some linear transformation. In this case TU. Given: \begin{align}T:y_1 &= −3x_1 + x_2\\ y_2 &= x_1 − x_2 \end{align} \begin{align}U: y_1 &= x_1 + x_2 \\...
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# Another problem ## Homework Statement sin5xcos3x=sin4xcos4x+sinxcosx, solve the identity ## Homework Equations all the identities and formulas mentioned in my last thread. ## The Attempt at a Solution Alright so I thought I could use the product to sum formula on the left side which ended up being 1/2sin10x the...
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# Using generating function to find number of ways to distribute $r$ objects Use generating function to find the number of ways to distribute $r$ beans among $8$ children if each child gets an even number of beans. So I know this is like a weak composition where some children can receive $0$ objects. But I don't know...
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# The integral of sin^2(x). I’m scheduled to teach Math 1320 this fall, so I’ve been writing some lecture notes.  The course is simply the second part of the ‘standard’ calculus sequence, which means we’re going to be talking about ways to integrate just about anything before me move on to sequences and series, then T...
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# I Doubts on wavefunction conditions Tags: 1. Jul 3, 2016 ### Soren4 I'm facing some difficulties in using "boundary conditions" in a simple wavefunction. The wavefunction I'm considering is $$\xi(x,t)=A sin (k x \pm \omega t +\psi)$$ The minus or plus are for progressive or regressive waves. The indipendent param...
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# Prove the following about an eigenvector, $w$ If $$w$$ is an eigenvector of the $$n \times n$$ matrix $$A$$ with a corresponding eigenvalue $$\lambda$$, prove that $$w$$ is also an eigenvector of the $$n \times n$$ matrix $$B = A^2$$. Find the eigenvalue $$\mu$$ corresponding to this eigenvector of $$B$$. Linear al...
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# Chemistry - Criterion for gravimetric analysis of silver ## Solution 1: The solubility of $$\ce{AgCl}$$ is equal to $$\sqrt{K_\mathrm{s}} = \pu{1.3E-5 M}.$$ The solubility $$s$$ of $$\ce{Ag2CO3}$$ is such that $$K_\mathrm{s} = 4s^3.$$ So that its solubility $$s$$ is equal to $$s = \pu{1.2E-4 M}.$$ This is ten times...
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## SectionA.10Working with Radicals In some situations, radical notation is more convenient to use than exponents. In these cases, we usually simplify radical expressions algebraically as much as possible before using a calculator to obtain decimal approximations. ### SubsectionProperties of Radicals $\sqrt[n]{a}=a^...
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HomeEnglishClass 12MathsChapterProbability Given three identical boxes I,... # Given three identical boxes I, II and III, each containing two coins. In box I, both coins are gold coins, in box II, both are silver coins and in the box III, there is one gold and one silver coin. A person chooses a box at random and t...
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# Difference between revisions of "1997 AHSME Problems/Problem 30" ## Problem For positive integers $n$, denote $D(n)$ by the number of pairs of different adjacent digits in the binary (base two) representation of $n$. For example, $D(3) = D(11_{2}) = 0$, $D(21) = D(10101_{2}) = 4$, and $D(97) = D(1100001_{2}) = 2$. ...
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Question # Show that $\sin {36^0}$ is a root of the quadratic equation $16{x^4} - 20{x^2} + 5 = 0$. Hint – For solving such a question, use a simple formula of roots of quadratic equation. Given equation: $16{x^4} - 20{x^2} + 5 = 0$ Since the power of $x$ is$4\& 2$ So, let${x^2} = t$ in the above equation. Then the ...
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Question # If two events A and B are such that $P({{A}^{c}})=0.3,P(B)=0.4$ and $P(A{{B}^{c}})=0.5$, then $P\left[ \dfrac{B}{\left( A\cup {{B}^{c}} \right)} \right]$ is equal to(a) $\dfrac{1}{2}$ (b) $\dfrac{1}{3}$ (c) $\dfrac{1}{4}$ (d) None of these Hint: Taking the given probabilities of A and B events, first find ...
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# Geometry and Topology Seminar ## Warwick Mathematics Institute, Term I, 2013-2014 Please contact Agelos Georgakopoulos, Damiano Testa, Saul Schleimer, or Caroline Series if you would like to speak or suggest a speaker. Thursday October 3, 15:00, room MS.04 Max Karoubi (Universitée Paris Diderot) Algebraic and He...
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# Thread: Precal app problem 1. ## Precal app problem There are 2 tanks of water. The first tank holds 200 liters and will be drained by pump at a constant rate completely in 5 hours. The second tank holds 900 liters and will be drained by opening a plug on the bottom, this tank will also drain in 5 hours. The second...
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Ontario 10 Academic (MPM2D) The distance formula ## Interactive practice questions The vertical interval joining $A$A $\left(-2,2\right)$(2,2) and $B$B $\left(-2,-3\right)$(2,3) has been graphed on the number plane. Find the length of the interval. Easy Approx a minute The horizontal interval joining $A$A $\left(-4...
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# If $g$ is an element of order $d$ and $d$ divides $n$, then $gn = 1$ Prove if $g$ is an element of order $d$ and $d$ divides $n$, then $gn = 1$. I need help on how to prove the converse which comes from this theorem that I solved. Suppose $gn = 1$ in a group $G$ and let $d$ be the order of $g$. Then $d$ divides $n...
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duality # Contents ## Idea Poincaré duality over some space is an equivalence (if it exists) relating cohomology with homology on that space. The canonical example is the Poincaré duality in ordinary cohomology $H^\bullet(X)$/ordinary homology $H_\bullet(X)$ which exists over an orientable closed manifold $X$ of di...
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# Recent content by sylar88 1. ### Normalization constant of lineer combination of two waves? Its logical :)) thank you for your interest and help. I will come for new questions :))) 2. ### Normalization constant of lineer combination of two waves? Question says that solve the equiaton combination of wave functions ...
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# How do you solve x + y = 12 and y = 2x using substitution? Mar 20, 2016 $\left(x , y\right) = \left(4 , 8\right)$ #### Explanation: color(blue)(x+y=12 color(blue)(y=2x Substitute the value given for $y$ in the second equation to the first equation $\rightarrow x + 2 x = 12$ $\rightarrow 3 x = 12$ color(green...
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### Home > PC > Chapter 6 > Lesson 6.1.1 > Problem6-13 6-13. Consider the function $f(x)=-\frac{1}{2}\left(x−1\right)^2+7$ for $1\le x\le4$. 1. Write the sum to find the area under the curve using left-hand endpoints and rectangles with widths of $1$. Since you are not using a calculator, be sure you set up your sum...
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# Chapter 2 - Section 2.7 - Polynomial and Rational Inequalities - Exercise Set - Page 414: 80 In the range of $(0,10]$, or $[80,90)$ feet. #### Work Step by Step Step 1. The perimeter of a rectangle is given by $2(l+w)=180$; we have $l+w=90$ Step 2. Let $x=w$; we have $l=90−w=90−x$, with $0\lt x\lt90$ Step 3. The a...
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# Glossary A ratio is a quotient of two numbers, magnitudes, or algebraic expressions. It is often used as a measure of the relative size of two objects; for example, the ratio of the length of a side of a square to the length of a diagonal is $$1:\sqrt[{}]2\;$$ that is, $$\frac1{\sqrt[{}]2}.$$
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## What is scalar and vector quantity? The physical quantity which have only magnitude but no direction, are called scalar quantity. Mass, length, time, speed, volume, density, pressure, temperature, work, energy, power, electric current, electric charge, electric potential, electric flux etc are the examples of scala...
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Dual Space - Continuous Dual Space Continuous Dual Space When dealing with topological vector spaces, one is typically only interested in the continuous linear functionals from the space into the base field. This gives rise to the notion of the"continuous dual space" which is a linear subspace of the algebraic dual s...
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Lemma 42.22.2. Let $(S, \delta )$ be as in Situation 42.7.1. Let $X$ be a scheme locally of finite type over $S$. If $f : Y \to X$ and $g : Z \to Y$ are envelopes, then $f \circ g$ is an envelope. Proof. Follows from Morphisms, Lemma 29.41.4 and More on Morphisms, Lemma 37.76.2. $\square$ In your comment you can use ...
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Browse Questions # If A and B are mutually exclusive events,$P(A)=0.35$ and $P(B)=0.45$ find $P(A \cap B)$ $\begin{array}{1 1}(A)\;0\\(B)\;0.65\\(C)\;0.35\\(D)\;0.75\end{array}$ Can you answer this question? A and B are mutually exclusive events $\therefore P(A \cap B)=\phi$ $P(A \cap B)=0$ A and B are mutually exc...
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SSC (English Medium) Class 8Maharashtra State Board Share # Balbharati solutions for Class 8 Mathematics chapter 1 - Rational and Irrational numbers ## Chapter 1: Rational and Irrational numbers Practice Set 1.1Practice Set 1.2Practice Set 1.3Practice Set 1.4 #### Chapter 1: Rational and Irrational numbers Exercise...
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Additional. $\endgroup$ – Ross Millikan Oct 8 '19 at 14:46. See full list on mathsisfun. Of course, we must somehow remove the infinitely long tails of the Gaussian window in practice, but this does not cause much deviation from a parabola, as shown in Fig. SRM Joint Entrance Examination for Health Sciences (SRMJEEH) 2...
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# Quantum Mutual Information scaling Wikipedia provides a simple definition of Quantum Mutual Information: $$I(\rho^{ab})= S(\rho^{a}) + S(\rho^{b}) - S(\rho^{ab})$$ where in terms of relative information we have: $$I(\rho^{ab})= S(\rho^{ab}|| \rho^{a} \otimes \rho^{b})$$ what is the best notational approach for t...
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What is the sum of the first 60 consecutive odd number? Mar 3, 2018 $897$ $1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23 + 25 + 27 + 29 + 31 + 33 + 35 + 37 + 39 + 41 + 43 + 45 + 47 + 49 + 51 + 53 + 55 + 57 + 59 = 897$ =$897$
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## Thomas' Calculus 13th Edition $\frac{3\pi}{2}-4$ We calculate the area as follows: A=$4\int^{\pi/2}_0 \int^{1-cos\theta}_0 rdrd\theta$ =$2\int^{\pi/2}_0 (\frac{3}{2}-2cos\theta +\frac{cos2\theta}{2})d\theta$ =$\frac{3\pi}{2}-4$
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# Difference between revisions of "2295: Garbage Math" Garbage Math Title text: 'Garbage In, Garbage Out' should not be taken to imply any sort of conservation law limiting the amount of garbage produced. ## Explanation This explanation may be incomplete or incorrect: Created by a ZILOG Z80. Please mention here wh...
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# The class indexed by real numbers is a set? by julypraise Tags: class, indexed, numbers, real P: 110 Let $\mathcal{S} = \{S_{i}:i \in \mathbb{R} \}$ where $S_{i}$ is a set. Then $\mathcal{S}$ is a set? Or, can this notation make sense in some way? P: 606 Quote by julypraise Let $\mathcal{S} = \{S_{i}:i \in \mathbb...
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+0 # I am confused... #1 +108679 +1 Well it looks like you have got a sphere, radius 1 inside a cube, sidelength 2 The volume of the cube is 8 unit cubed the volume of the sphere is      $$\frac{4}{3}\pi r^3 = \frac{4}{3}\pi$$ So the probability that you choose a point inside the cube that is also inside the sphe...
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# Brumer quintic polynomials - is there a general formula for the roots? There exist a family of quintic polynomials, called Brumer's polynomials (or Kondo-Brumer), which have the form: $$x^5+(a-3)x^4+(-a+b+3)x^3+(a^2-a-1-2b)x^2+bx+a,~~~a,b \in \mathbb{Q}$$ According to Wikipedia these polynomials are solvable in ra...
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# Problematic integral $\int_0^\pi \frac{x\sin x}{1+\cos^2x}\ dx$ How to calculate $$\int_0^\pi \frac{x\sin x}{1+\cos^2x}\ dx\ ?$$ I wish I could say I ran out of ideas, but actually I have none. Just make the change of variables $x\rightarrow\pi-x$ and add the two results: $$2I=\int_0^\pi \frac{x\sin x}{1+\cos^2x}\ ...
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by Jonathan Lee 892 days ago | Jessica Taylor and Patrick LaVictoire like this | link | parent It looks like Theorem 1 can be improved slightly, by dropping the “only if” condition on $$p_{CD} > 0$$. We can then code up something like Kolmogorov complexity by adding a probability $$\frac{1}{2}$$ transition from every s...
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### Home > CCA2 > Chapter 5 > Lesson 5.2.4 > Problem5-99 5-99. Solve $1.04^x=2$. Your answer should be accurate to three decimal places. Homework Help ✎ Use your calculator to guess and check.