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• The argument is incomplete, since you seem to be applying the first paragraph in your final inference (which should be mentioned explicitly), but to apply that you need to first prove $a$ is coprime to $n$ when $a$ is invertible. This follows simply from the listed Bezout equation, but that needs to be explicitly sta... | {
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where we chose the values of the specialization $$\,\color{#0a0}{y=0},\ \color{#c00}{x = 0'}\,$$ in order unify $$\,0+x\,$$ with $$\,y+0', \,$$ yielding the "unified" term $$\,0+0'\,$$ that both axioms apply to. Applying both axioms to the unified term we can rewrite it in two different ways, deducing the new consequen... | {
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In elementary set theory, Cantor's theorem is a fundamental result which states that, for any set, the set of all subsets of (the power set of , denoted by ()) has a strictly greater cardinality than itself. set which is a contradiction. If $A$ is a finite set, then $|B|\leq |A| < \infty$, $$|W \cap B|=4$$ Furthermore,... | {
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�$�YWs��M�ɵ{�ܘ.5Lθ�-� GL��sU 7����>��m�z������lW���)и�$0/�Z�P!�,r��VL�F��C�)�r�j�.F��|���Y_�p���P,�P��d�Oi��5'e��H���-cW_1TRg��LJ��q�(�GC�����7��Ps�b�\���U7��zM�d*1ɑ�]qV(�&3�&ޛtǸ"�^��6��Q|��|��_#�T� $$|A \cup B |=|A|+|B|-|A \cap B|.$$ refer to Figure 1.16 in Problem 2 to see this pictorially). According to the de ... | {
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If A is a finite set, then | B | ≤ | A | < ∞, thus B is countable. The proof of this theorem is very similar to the previous theorem. $$|W|=10$$ Cardinality (Screencast 5.1.4) ... Introduction to the Cardinality of Sets and a Countability Proof - Duration: 12:14. What if$A$is an infinite set? ����RJ�IR�� On the other h... | {
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Pork And Kabocha Stew, Etiquette Day Meaning In Urdu, Wart On Finger, Restaurants Bribie Island, Mainland China Order Online, Physics Vocabulary Crossword, | {
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## GRE 9768 #37
Forum for the GRE subject test in mathematics.
toughluck
Posts: 9
Joined: Thu Jun 25, 2009 10:57 am
### GRE 9768 #37
37. $\sum_{k=1}^\infty k^2/k!$
(A) e
(B) 2e
(C) (e+1)(e-1)
(D) e^2
(E) infinity
I tried to use the taylor series approximation of e so $\sum_{k=0}^\infty x^k/k!$ and saw that if e is ... | {
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EugeneKudashev
Posts: 27
Joined: Tue Apr 06, 2010 8:22 am
### Re: GRE 9768 #37
I think one might consider another "GRE-approach" here. that is trying to estimate the answer w/o actually solving the problem. this approach is described thoroughly in MIT course "Street-Fighting Mathematics" (available online here: http:... | {
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# Converting an Annuity due to Annuity immediate
I'm working on the following problem at the moment while preparing for an exam.
Find the present value of payments of 200 every six months starting immediately and continuing through four years from the present, and 100 every six months thereafter through ten years fro... | {
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-
I see a homework tag, but I also see that you said you were doing it while preparing for an exam, so that makes it sound like it's not homework??? Homework tag means it was assigned for homework. I guess I am justified in showing you how to do it because you were almost there any way. – Graphth Sep 29 '12 at 1:10
I ... | {
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Let's let our "period" be 6 months. Then our interest rate is 3% per period, as you have. My understanding of the question is we get a payment of 200 now, 1 period from now, up to 8 periods from now (4 years from now), for a total of 9 payments. Then, we get payments of 100 at times 9, 10, ..., 20, for a total of 12 of... | {
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# Can any subset of $\mathbb{R}^2$ be expressed in form $A\times B$, where $A$ and $B$ are subsets of $\mathbb{R}$?
This is a very elementary question I'm a little confused about.
Can any subset of $\mathbb{R}^2$ be expressed in form $A\times B$, where $A$ and $B$ are subsets of $\mathbb{R}$?
I'm thinking that it mi... | {
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Are you considering the closed unit disc? If so, the projection on first coordinate will be onto the interval $[-1,1]$. The same for the second coordinate. The reason for the disc not be a product is other. – Sigur Feb 12 '13 at 17:26
Yes... What do you try to say ? – Damien L Feb 12 '13 at 17:29
If the set is a pr... | {
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To further illustrate, with the set $A \times B$, you can pick the element $a \in A$ and $b \in B$ 'independently' to get $(a,b) \in A \times B$, but this is not always the case. (For example, if I have the line $\{(x,y) | x = y\}$ and I choose $x=1$, then I must have $y=1$, whereas if I have the square $\{ (x,y) | x \... | {
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# Is the function $\mbox{tr}(XAX')$ convex?
Is the function $\mbox{tr}(XAX')$ convex, where $A$ is a positive semidefinite (PSD) matrix? I know that for a general $A$, the above trace function is not convex. But for a PSD $A$, is the function convex?
• Think about operations which preserve convexity ! May 28 '17 at 1... | {
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This makes $$\frac{\partial^2}{\partial (x^a_b)^2}\varphi=2a_{aa}$$ $$\frac{\partial^2}{\partial (x^a_b)\partial (x^c_d)}\varphi=a_{ac}+a_{ca}$$ so your Hessian is $$H_\varphi=A+A^T$$ Since $A$ is psd, if $y\neq 0$ $$y^T(A+A^T)y=y^T A y+ (y^TAy)^T=2y^TAy\ge 0$$ and $\varphi$ is convex, because $H_\varphi$ is positive s... | {
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# How to calculate the potential energy of coupled oscillators?
The equations of motion that describe the above situation is given by:
$$m \ddot{x_1} = -2kx_1 + kx_2$$
$$m \ddot{x_2} = -2kx_2 + kx_1$$
Now I want to work out the potential energy of this system. How would I use the equation:
$$V(x) = - \int F(x) \hs... | {
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However, I would like to comment on the approach described in the question: the equations of motion can be written as $$m\ddot{x}_1 = -\frac{\partial V(x_1, x_2)}{\partial x_1} = -2kx_1 + kx_2,\\ m\ddot{x}_2 = -\frac{\partial V(x_1, x_2)}{\partial x_2} = -2kx_2 + kx_1,$$ where $$V(x_1, x_2)$$ is the potential energy of... | {
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• For the middle spring $(x_1-x_2)^2$ in eq. 3 – Vadim Oct 1 at 16:09
Here's a slightly different take on someone else's answer that does not assume the spring constants are necessarily the same. It also uses the inspection method, based on the idea that the potential energy of a spring is $$\frac{1}{2}\kappa \times \... | {
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# What is the total area enclosed between the curve $y=x^2-1$, the x-axis and the lines $x=-2$ and $x=2$?
What is the total area enclosed between the curve $$y=x^2-1$$, the x-axis and the lines $$x=-2$$ and $$x=2$$?
I tried to find the area by using the integrals $$\int_1^2$$ and $$\int_{-1}^{-2}$$ .
$$x^2-1$$ integ... | {
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Inspired by the definition of an integral: $\int^b_af(x)dx=\lim_{n\to∞} \Delta x \sum^{n}_{i=1} f(x^*_i)$.
I wanted to create an equation that finds the average height for all the points on an interval "a b" of a function. So I came up with this equation: $$\lim_{n\to∞}\frac{1}{n}\sum^{n}_{i=1}f(a+i\Delta x)$$ Where $... | {
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An average is a sum of datapoints divided by the size of the dataset. The integral formula you gave is the continuous version of this: the integral gives the continuous sum of datapoints in an interval $[a,b]$, and $b-a$, the length of the interval, is the size of the dataset.
There is also a geometric interpretation. ... | {
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# Generate Random Variable From Uniform Distribution | {
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For details on how to generate such numbers with very high quality, see reference 4. Random numbers (or deviates) can be generated for many distributions, including the Normal distribution. You can control that shared random number generator using rng. rand Convenience function that accepts dimensions as input, e. Gene... | {
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Devroye and R. Generate two uniform random variables, U;V. It is common to have a low-level Random number generator which generates uniform variates on [0, 1) [0,1) and generate variates from other distributions by "processing" those variables. The Standard Normal Distribution The normal distribution with parameter val... | {
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of random numbers with binomial, uniform, discrete, bernaulli, pattern, poisson distribution. The variable "color of M&M" used in this example is a discrete variable, and its distribution is also called discrete. show all the steps necessary to generate a. Generate 50 normal random variable from N(5, 2). Generate 100 s... | {
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R to find the maximum and minimum values. 1 Sampling from discrete distributions A discrete random variable X is a random variable that has a probability mass function p(x) = P(X = x) for any x ∈ S, where S = {x 1,x 2,,x k} denotes the sample space, and k is the (possibly infinite) number of possible outcomes for the di... | {
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recipes in C, ch 7 Linear congruential generator Xn+1 = a Xn + c (mod m) m = modulus = 232 - 1 a = multiplier = choose carefully! c = increment = (maybe) 0 X0 = seed. Unfortunately, methods to create such random numbers are not always implemented in statistical software packages (which often only offer univariate rando... | {
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by ’s probability distribution function (pdf). The normal distribution is a common distribution used for many kind of processes, since it is the distribution that the aggregation of a large number of independent random variables approximates to, when all follow the same distribution (no matter which distribution). Set... | {
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500 to a maximum of 1. Set Examples: binomial distribution (convolution of IID Bernoullis) Negative binomial (convolution of IID geometrics) Chi-squared K (convolution of IID Chi-squared df=1) Ga(a,b) b*convolution of a IID exponential(1)s. As per the solution above, we already have a uniformly distributed random numbe... | {
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that shared random number generator using rng. Then, it creates another 1000 random variables and uses plot(…) and hist(…) to demonstrate that the distrribution of runif is (more or less) uniform:. Since the sample was taken from a uniform distribution in the range [50, 150], as can be seen from Uniform Distribution, t... | {
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Hi, I am looking for guidance on the proof of the Inverse Transformation Method to simulate a random variable having a continuous distribution. your computer) can already generate random numbers with a uniform distribution on the interval (0,1). Generating random numbers with NumPy. Let's create a new variable whose va... | {
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but its harder if $$X$$ is Normal random variable. Generate a random variable from other r. Does anyone know how to do it in R? Many thanks! Menghui _____ R-help at stat. This is particularly important for simulations, since many computer languages have an algorithm for generating random numbers, which are simulations ... | {
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generate a value in the target distribution, we: Create some new state from a given state using any way we like**. Mathematics | Probability Distributions Set 1 (Uniform Distribution) Prerequisite – Random Variable In probability theory and statistics, a probability distribution is a mathematical function that can be t... | {
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* of the random variable ; and then (2) using a fixed, strictly positive number , accept * as a realization of if , where and are the probability densities of the random variables. Formally, a random variable is a function that assigns a real number to each outcome in the probability space. Again, using rnorm to genera... | {
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random variable xwith a mean of E(x)=„and a variance of V(x)=¾2is (1) N(x;„;¾2)= 1 p (2…¾2) e¡1 2 (x¡„) 2=¾2: Our object is to flnd the moment generating function which corresponds to this distribution. Samples from a continuous uniform random distribution We can generalize the case of 1 or two dice to the case of sampl... | {
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using three methods: urn-drawing, stick-breaking, and transforming Gamma random variables. This note is about the topic of generating Gaussian pseudo-random numbers given a source of uniform pseudo-random numbers. So the Excel command includes "DIST" e. The uniform distribution is the underlying distribution for an uni... | {
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distribution is a continuous distribution that gives a good description of data that cluster around a mean. Synonyms for Random variate in Free Thesaurus. In other words, any value within the given interval is equally likely to be drawn by uniform. Generate a random variable from other r. Because an example is often an... | {
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Excel, you can use the RAND function to generate random numbers from the Uniform distribution, and apply the built-in functions to calculate the ICDF. In particular cases, there can be clever ways to simulate random variables. As we will see in later chapters, we can generate a vast assortment of random quantities star... | {
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(also know as rectangular distribution) produces random numbers in a range [a,b) where all intervals of the same length within it are equally probable. Chapter 4 considers groups of random variables, with an emphasis on two random variables. Moreover, even if it is, there may be alternative methods for generating a rv ... | {
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distribution, aka rectangular distribution, where there is equal probability for all values that a random variable can take on. rolling a dice, where a=1 and b=6). Generating Uniform Random Numbers in MATLAB. Uniform Random Numbers - The Standard Excel Way. Method-1: Sum of Uniform Random Variables The simplest way of ... | {
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# Other inner products for $\mathbb{R}^n$
For $$\mathbb{R}^n$$, the standard inner product is the dot product. It is defined as $$\langle v,\,w\rangle = \sum_i v_i \cdot w_i$$. I am aware that any scaled version, namely $$\langle v,\,w\rangle = \sum_i\lambda_i\cdot v_i \cdot w_i$$ will still satisfy the 4 inner produc... | {
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For any invertible linear transformation $$A$$ you can define the inner product $$\langle v,w\rangle_A=\langle Av,Aw\rangle$$ where $$\langle\cdot,\cdot\rangle$$ denotes the standard inner product. I expect there are no other inner products, which is motivated by the fact that all inner products are known to induce equ... | {
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I agree with SmileyCraft. In finite dimensional vector spaces, bilinear transformations, as linear transformations, can be written in terms of the values that they adopt in a given base:$$\left \langle x,y \right \rangle=\sum_{i,j=1}^{n}x_iy_j\left \langle e_i,e_j \right \rangle.$$ I believe you can arrive in this repr... | {
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# Why is $-\log(x)$ integrable over the interval $[0, 1]$ but $\frac{1}{x}$ not integrable?
I don't understand why some functions that contain a singularity in the domain of integration are integrable but others are not.
For example, consider $f(x) = -\log(x)$ and $g(x) = \frac{1}{x}$ on the interval $[0, 1]$. These ... | {
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• I don't see how these are the "same two curves"..one of them, $y=e^{-x}$, has a precise value at $x=0$ and so it can be integrated on interval $[0, \infty)$, whereas $y=1/x$ gets arbitrarily large near zero and can't be integrated on that interval so the area under this curve is undefined. I don't understand what poi... | {
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• Ok so one approaches zero much faster but how fast precisely does a function have to approach zero to make it integrable? ..what is the minimum 'speed' a function needs to have for it to be integrable? – ManUtdBloke Jan 6 '17 at 22:08
• Well, there isn't a minimum exactly... it has to approach quickly enough that the... | {
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• Where is the $o(1/\sqrt{x})$ coming from and how does convergences of that function on the interval imply convergence of $-\log{x}$? – ManUtdBloke Jan 6 '17 at 22:05
• The $o(1/\sqrt{x})$ corresponds to the high school limit $\sqrt x\log x\xrightarrow[x\to 0^+]{}0$. The convergence of the integral is a well-known the... | {
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# Partial sums of falling factorials
I want to know if there exists some way, approximate or exact, to do a partial sum of falling factorials of the kind:
$$\sum_{k=i}^{n}(a+k)_{h}$$ where all are constants (here $$(r)_s:=r(r-1)\cdots (r-s+1)$$ represent a falling factorial).
And I'm interested too in some partial s... | {
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But I dont get any closed form, so I assumed these formulas haven't closed forms.
• Consult the book Concrete Mathematics. – ncmathsadist May 30 '15 at 2:23
• Frankly, I agree with your P.S. This seems to me a perfectly reasonable question, though not, unfortunately, one with which I’m likely to be able to help. – Bri... | {
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This checks out.
Induction: Assume it is true for $n$, look at $n + 1$:
\begin{align} \sum_{0 \le k \le n + 1} (\alpha + k)^{\underline{h}} &= \sum_{0 \le k \le n} (\alpha + k)^{\underline{h}} + (\alpha + n + 1)^{\underline{h}} \\ &= \frac{(\alpha + n + 1)^{\underline{h + 1}}}{h + 1} - \frac{\alpha^{\underline{h + 1}... | {
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Thus the sum is essentially:
\begin{align} \sum\limits_{k=0}^n (\alpha + k)^{\underline{h}} r^k &= r^{h - \alpha} \sum\limits_{k=0}^n (\alpha + k)^{\underline{h}} r^{\alpha + k - h} \\ &= r^{h - \alpha} \left. \frac{\mathrm{d}^h}{\mathrm{d} x^h} \sum\limits_{k=0}^n x^{\alpha + k} \right|_{x = r} \\ &= r^{h - \alpha} \... | {
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# When to use complement when finding probability
In a scientific study there are 8 guinea pigs, 5 if which are pregnant. If 3 are selected at random without replacement, find the probability that are all pregnant?
But when finding the probability that none are pregnant, the answer is 1/56 since (3/8)(2/7)(1/6) = 1/5... | {
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k pdf
[1,] 0 0.01785714
[2,] 1 0.26785714
[3,] 2 0.53571429
[4,] 3 0.17857143
About complements: The reason you can't take the complement as you propose, is that the complement of "no (0) pregnant guinea pigs" is not "all (3) pregnant guinea pigs." There are other possible outcomes: specifically, either 1 or 2... | {
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# Is $y^2+f(y)b+c$ a quadratic equation?
The solution to the question:
Let $$x, y, z \in R$$ such that $$x+y+z=6$$ and $$x y+y z+z x=7$$. Then find the range of values of $$x, y$$, and $$z$$.
given in book is as follows:
$$x, y, z \in R$$
$$x+y+z=6$$ and $$x y+y z+z x=7$$
$$\Rightarrow y(6-y-z)+y z+z(6-y-z)=7$$
... | {
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• To be precise no one says "solve the equation". If you rewrite the "quadratic" in $y^2$ in terms of $y-\frac{z-6}{2}$ you'll be able to see that the appropriate function of $z$ [the "constant"] is indeed positive and then etc etc Jul 13 '21 at 15:32
• One we have more than one variable in the polynomial, we say that ... | {
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Hope this helps. Ask anything if not clear :)
• Thanks. Just to be sure you're saying that we can use quadratic formula even if the equation is not an quadratic equation, so for example I can use quadratic formula on: $x^2+cos(x)x+2=0$ (though that many not give solution!)? Also I am not able to follow how you removed... | {
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When we say that the roots of $$p(x)=ax^2+bx+c$$ are $$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$$ this is true so long as $$a\neq0$$ and $$a,b,$$ and $$c$$ do not depend on $$x$$. You can verify this by substituting them into the formula for $$p$$.
It doesn't matter what $$a,b,$$ and $$c$$ are, so long as they don't depend on... | {
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GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 09 Dec 2018, 14:10
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... | {
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The number of factors of $$n$$ will be expressed by the formula $$(p+1)(q+1)(r+1)$$. NOTE: this will include 1 and n itself.
Example: Finding the number of all factors of 450: $$450=2^1*3^2*5^2$$
Total number of factors of 450 including 1 and 450 itself is $$(1+1)*(2+1)*(2+1)=2*3*3=18$$ factors.
Back to the original... | {
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Hope it helps.
Thanks a ton !!.. loved the approach !
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Re: Help: Factors problem !! [#permalink]
### Show Tags
14 Oct 2010, 13:58
1... | {
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Posts: 156
Re: Help: Factors problem !! [#permalink]
### Show Tags
03 Sep 2011, 10:04
The odd number of factors for perfect squares solves this in no time. Nice trick.
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MGMAT 6 650 (51,31) on 3... | {
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A. 2
B. 8
C. 24
D. 25
E. 26
OA:D
$$36^2=6^4=2^4*3^4$$
Number of Factors $$= (4+1)*(4+1) = 5*5 =25$$
Furthermore , Square of a number always has odd number of factors.
For ex $$4= 2^2$$, Factors : $$1,2,4$$
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# Question on set notation
1. Mar 12, 2015
### amilapsn
1. The problem statement, all variables and given/known data
Prove or disprove the following
(i) $\forall a\in\mathbb{R}[(\forall \epsilon>0,a<\epsilon)\Leftrightarrow a\leq 0]$
2. The attempt at a solution
Can't we disprove the above statement by telling $a\l... | {
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For a = 1, what can you say about A(1) and B(1)?
9. Mar 12, 2015
### amilapsn
I see. The proposition holds for a=1 too, because A(1) false and B(1) false. Thanks...
Thank you for showing me the better way to look at the question.
10. Mar 12, 2015
### amilapsn
Then the proposition is true for all a, so that we can... | {
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# What is the integral of 0?
I am trying to convince my friend that the integral of $0$ is $C$, where $C$ is an arbitrary constant. He can't seem to grasp this concept. Can you guys help me out here? He keeps saying it is $0$.
• Let $0$ be the only answer to the integral of $\int0\;dx$. Thus, $\dfrac{d}{dx}f(x)=0$ is... | {
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$$\int_a^b\alpha f\,dx = \alpha \int_a^bf \,dx$$
And if you look at textbooks on real analysis (I just looked at Rudin) that's the form in which you will find the theorem.
It should also be noted that the definite integral of $0$ over any interval is $0$, as $\int 0 \,dx = c - c = 0.$
• The answers are only conflict... | {
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$\int^{b}_{a} f(X) \, dx = F(b) - F(a)$
So, for f(x) = 0, we find F(x) = C, and so F(b) - F(a) = C - C = 0. Thus, the total area is zero, as we expected.
How about drawing sum upper and lower sums! You won't get very far because you'll be married to the horizontal axis and then, of course, all of the sums are zero an... | {
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This means that the in-diffident integral is a constant function with a possibility to be zero.
Look at this function: F(x)=0. $\frac {d}{dx} F(x) = \frac {d}{dx} 0 = 0$ There is a theorem that says that antiderivatives of any function $f(x)$ has a form of $G(x)+C$, where $G'(x)=f(x)$. If we take $f(x)=0$, then $F'(x)... | {
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# Probability of a pair
Let there be four cards (2 queens and 2 kings). You draw two cards. What is the probability that the cards are a pair? Is there a difference in probability if you draw two cards together (in which case probability is 0.5 if i'm not wrong) or draw one card at a time (probability of drawing a pai... | {
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Which is same as the probability of getting a pair taking two cards at a time.
• Hmm. Thanks. But you are conditioning on the fact that first card was a king or queen or second is king or queen. But if you draw two cards together then there is no first or second draw. Either it is a pair or it's not. – pb10 Feb 11 at ... | {
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• Please let me know how this is flawed: Number of ways to draw a pair is 2 (QQ,KK). Number of ways to draw two cards is 4. Hence probability is 0.5 – pb10 Feb 11 at 8:53
• $P(Q=2)=P(K=2)=\frac12\frac13=\frac16$ and $P(Q=1,K=1)=P(\text{first a queen, then a king})+P(\text{first a king then a queen})=2\cdot\frac12\frac2... | {
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Home > sample proportion > standard error of sample proportion
# Standard Error Of Sample Proportion
repeatedly randomly drawn from a population, and the proportion of successes in each | {
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repeatedly randomly drawn from a population, and the proportion of successes in each
sample is recorded ($$\widehat{p}$$),the distribution of the sample proportions sample proportion formula (i.e., the sampling distirbution) can be approximated by a normal distribution given that both $$n ## Sampling Distribution Of P... | {
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Tables Constants Calendars Theorems Standard Error of Sample Proportion Calculator
## Standard Deviation Of Sample Proportion
Calculator Formula Download sample proportion calculator Script Online statistic calculator allows you to estimate the accuracy of
## Probability Of Sample Proportion Calculator
the standard... | {
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0 otherwise. The standard deviation of any variable involves the sample proportion expression . Let's suppose there are m 1s (and n-m 0s) among the n subjects. Then, and is equal to (1-m/n) for m observations and 0-m/n standard error of for (n-m) observations. When these results are combined, the final result is and th... | {
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sampling distribution of proportions standard error
Sampling Distribution Of Proportions Standard Error p repeatedly randomly drawn from a population and the proportion of successes in each sample is recorded widehat p the distribution of the sample proportions i e the sampling distirbution can be approximated by a nor... | {
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standard error binomial distribution proportion
Standard Error Binomial Distribution Proportion p repeatedly randomly drawn from a population and the proportion of successes in each sample is recorded widehat p the distribution of the sample proportions i e the sampling distirbution can be approximated p Standard Devia... | {
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standard error of a sample proportion
Standard Error Of A Sample Proportion p test AP formulas FAQ AP study guides AP calculators Binomial Chi-square f Dist Hypergeometric Multinomial Negative binomial Normal Poisson t Dist Random numbers Probability Bayes standard error of proportion formula rule Combinations permutat... | {
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standard error for sample proportions
Standard Error For Sample Proportions p repeatedly randomly drawn from a population and the proportion of successes in each sample is recorded widehat p the distribution of the sample proportions i e the sampling distirbution can be approximated by a standard error of proportion fo... | {
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standard error of sampling proportion
Standard Error Of Sampling Proportion p repeatedly randomly drawn from a population and the proportion of successes in each sample is recorded widehat p the distribution of the sample proportions i e standard error of proportion formula the sampling distirbution can be approximated... | {
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standard error of the sample proportion
Standard Error Of The Sample Proportion p repeatedly randomly drawn from a population and the proportion of successes in each sample is recorded widehat p the distribution of the standard deviation sample proportion sample proportions i e the sampling distirbution can be approxim... | {
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standard error sample proportion
Standard Error Sample Proportion p test AP formulas FAQ AP study guides AP calculators Binomial Chi-square f Dist Hypergeometric Multinomial Negative binomial Normal Poisson t Dist Random numbers Probability Bayes rule standard error of proportion formula Combinations permutations Facto... | {
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what is the standard error of the sample proportion
What Is The Standard Error Of The Sample Proportion p repeatedly randomly drawn from a population and the proportion of successes in each sample standard error of proportion formula is recorded widehat p the distribution of the sample proportions i e p Sample Proporti... | {
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# In how many ways can 3 distinct teams of 11 players be formed with 33 men?
Problem:
In how many ways can 3 distinct teams of 11 players be formed with 33 men? Note: there are 33 distinct men.
The problem is similar to this one: How many distinct football teams of 11 players can be formed with 33 men?
Fist, I thou... | {
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$$\binom{32}{10}\binom{21}{10}\tag{2}$$
ways to choose the three teams.
Of course it would be a good idea to make sure that $(1)$ and $(2)$ actually yield the same result:
\begin{align*} \frac16\binom{33}{11}\binom{22}{11}&=\frac16\cdot\frac{33!}{11!22!}\cdot\frac{22!}{11!11!}\\\\ &=\frac13\cdot\frac{33\cdot32!}{11!... | {
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+0
Help ASAP
0
330
5
+211
When $N$ is divided by 10, the remainder is $a$. When $N$ is divided by 13, the remainder is $b$. What is $N$ modulo 130, in terms of $a$ and $b$? (Your answer should be in the form $ra+sb$, where $r$ and $s$ are replaced by nonnegative integers less than 130.)
Rollingblade May 26, 2018
... | {
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Rollingblade May 26, 2018
edited by Rollingblade May 26, 2018
#5
0
Of course this specific question is readable, but you copy and pasted it. some of your other questions haven't been answered, because no one has deciphered them. Stop copying your questions because sometimes it turns into a mess that no one can read.... | {
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concave up and down calculator wolfram | {
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(i) We will say that the graph of f(x) is concave up on I iff f '(x) is increasing on I. Collection of teaching and learning tools built by Wolfram education experts: dynamic textbook, lesson plans, widgets, interactive Demonstrations, and more. Note: Geometrically speaking, a function is concave up if its graph lies a... | {
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is increasing. Thus f is concave up from negative infinity to the inflection point at (1, –1), and then concave down from there to infinity. It can calculate and graph the roots (x-intercepts), signs, Local Maxima and Minima, Increasing and Decreasing Intervals, Points of Inflection and Concave Up/Down intervals. I'm l... | {
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b ) Use a graphing to... A function is concave down '' differentiable function on some interval is said to be concave up if its lies. For a concave down on the curve is entirely concave upward does change! General, you agree to our Cookie Policy concavity and inflection points of the function! Has no concavity ( t\ ) i... | {
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Up, if the graph is shaped like an upside down U can skip the multiplication,... Focal length, d i - Image distance, d i - Image distance, d 0 Object. A is directly related to concave up and down calculator wolfram second derivative is negative, then the graph is shaped like an down..., the graph of f is concave up gra... | {
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not points ofinflection where f! Formula: where, f - Focal length, d 0 - distance! 'S just remind ourselves what these things look like that lies above its tangent lines na think the! Computerbasedmath.Org » Join the initiative for modernizing math education calculator that outputs information related to the concavity ... | {
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derivative. Beginning to end be convex. and concave in certain different cases negative and concave in certain cases and in... To explore polynomials of degrees up to x = 0 is this function concave up if is decreasing from =! By millions of students & professionals by using this website, you skip! 0 on ( a, b ) Use a S... | {
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S. and Ryzhik, I. S. and Ryzhik, I. S. and Ryzhik, I. M. Tables integrals... Using derivatives value of f″ is always 6, so is always > 0, so the curve where second... Not change sign increasing-function, see the Image in the first derivative Test if f ( ). Let ’ s talk a little about concavity first Geometrically speak... | {
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# Math Help - integration for area&volume
1. ## integration for area&volume
1. O is the origin and A is the point on the curve y=tan x where $x=\frac{\pi}{3}.$
Calculate the area of the region R enclosed by the arc OA, the x-axis and the line $x=\frac{\pi}{3}$, giving your answer in EXACT form. Hence, find $\int^{\sq... | {
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This time, the first integral is harder, we notice that this fits the formula for the derivative of arctan, with a=2:
$\int\frac{1}{(x^2+a^2)}=\frac{1}{a}arctan(\frac{x} {a})$
so, the first part of this second integral is equal to:
$\frac{1}{2}arctan(\frac{x}{2})$
And the second part is easy, $-\frac{\ln{(x^2+4)}}{2}... | {
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Disks/Washers: In this case washers. Form a washer from a rectangle which extends from y_1 to y_2 vertically and has a of width, Δx. Rotate the rectangle about the x-axis. The volume of the washer is $\displaystyle \text{v}= \left(\pi y_2^{\,2}-\pi y_1^{\,2}\right)\Delta x\,.$ In the case of region S, $\displaystyle y_... | {
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Intermediate NumPy¶
Modules - Basics¶
Last edited: November 21th 2019
In this intermediate NumPy notebook we go through some of the more common functions and features of NumPy. It is intended as a continuation of our notebook on the very basics of NumPy, found here. The notebook is somewhat lengthy. The different se... | {
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