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2, 5 Find the equation of the set of points P, the sum of whose distances from A (4, 0, 0) and B (-4, 0, 0) is equal to 10. Center (h,k) Radius P(x,y) Definition The standard form of the equation of a circle with radius r and center at (h,k) is: Solution to Do Now h=-5 k=6 (-5,6) Try This Graph the circle. (sin 9 + cos... | {
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This online calculator can find and plot the equation of a straight line passing through the two points. A trapezium is a quadrilateral that has one pair of parallel sides. 2 Translations and Shifts of Quadratic Functions ( discuss the effects of the symbol before the leading coefficient, the effect of the magnitude of... | {
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that are equidistant from the line y = x and the point (1;1). A circle is the locus of all points equidistant from a central point. A(?3, 4, 3) and B(6, 3, ?3). 5 Example 1. Complex numbers represent a number system that combines both real and imaginary numbers. Describe the given set of points with a single equation o... | {
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the intersection point between it and the first (given) line is a straightforward task. P, Q, and R are three points in a plane, and R does not lie on line PQ. A parabola is the set of all points in a plane and a given line. 2 b = 10 → b = 5. Find the equation of the set. This is the equation of a straight line with a ... | {
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5 units. The standard form of a parabola that we are now going to use helps us to find the focus and the directrix. Find coordinates for the point equidistant from (2,1) (2,-4) (-3,1) You don't need to do all that calculating the other tutor did. A system of equations is a set of two or more equations with the same var... | {
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obtain the result. In two-dimensional Euclidean geometry, the locus of points equidistant from two given (different) points is their perpendicular bisector. A calculator to find the equation of a line that is parallel to another line and passing through a point. the sum of the distances) just as a circle is the set of ... | {
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for this line (the 500-mile-long mid-point line). The standard form of a parabola with vertex (0, 0) and the x-axis as its axis of symmetry can be used to graph the parabola. Standard Form of a. Find all of the points on the x-axis which are 2 units from the point (−1, 1). Thanks for contributing an answer to Mathemati... | {
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figure formed by all the points satisfying a particular equation. Problem 8: Find a relationship between x and y so that the distance between the points (x, y) and (-2, 4) is equal to 5. A circle is defined as the set of all points in a plane that are equidistant from a fixed point called the center. Find the equation ... | {
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be more space than you need. The equation y = 2x + 1 maps x into y and the equation specifies how each value of x corresponds with y. The set of all points equidistant from two points in n-space is a linear set -- in 2-space, it's a line, in 3-space it's a plane, and in 4-space it's a hyperplane (kind of abstract), and... | {
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the same third quartile score. If you are given an equation of a straight line and asked to draw its graph all you need to do is find two points whose coordinates satisfy the equation and plot the points. For example, a parabola can be defined as the set of points in a plane that are equidistant from a focus F and a di... | {
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one of the results. 17 How many points are 5 units from a line and also equidistant from two points on the line? (1) 1 (3) 3 (2) 2 (4) 0 18 The equation of a circle is (x 2)2 (y 5)2 32. Notice that if we are given the equation of a plane in this form we can quickly get a normal vector for the plane. Right-click the Sea... | {
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y + 4= (1/2)(x - 2)^2 b. This is the plane through the midpoint, at right angles to the segment (the spatial right bisector of the segment!). If you want to know how to find the perpendicular bisector of two points, just follow these steps. Visit Mathway on the web. Select all points that are on this parabola. Circle: ... | {
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sum of the distances) just as a circle is the set of points which are equidistant from one point (i. Example : Find the stationary point(s) of the function z =xe −− x y 2 2. (iii) Construct the locus of points equidistant from AC and BC. -----in general, given 2 points, you can find the slope by using the equation: slo... | {
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side of the triangle. Section 6-2: Equations of Circles Definition of a Circle A circle is the set of all points in a plane equidistant from a fixed point called the center point. Fundamentals Of 2d And 3d Graphs. In space, the equation describes all points This equation defines the yz-plane. Before that, let us unders... | {
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its graph all you need to do is find two points whose coordinates satisfy the equation and plot the points. on a map these towns have coordinates (3,10) and (13, 4). (no calculator) 35min Monday, Part 2 50min (M 4/30 is an A-day) Write the equation of a circle with. - 10873807. The line that joins two infinitely close ... | {
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for rephrasing the target question. (Here's an easy way to think about it: If you have two pairs of congruent segments, then there's a perpendicular bisector. (1,1), (2, 4), (3,9), etc. To improve this 'Plane equation given three points Calculator', please fill in questionnaire. | {
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1. ## Graph transformations...
Hello! I am a little confused about graph transformations and I have some questions that I don't really know how to solve...Please help! Thank you!
1)
The transformations A,B and C are as follows:
A: A translation of 1 unit in the negative y direction
B: A stretching parallel to the y-a... | {
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Then I calculated the coordinates of the vertices and got the intervall in which x cannot lie.
I've attached a drawing of the curve to show where you can find this interval.
3. Originally Posted by Tangera
Hello! I am a little confused about graph transformations and I have some questions that I don't really know how... | {
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# Integration of product of two exponential functions
#### nortyrich
Hello,
I apologise in advance if this is a naive question (which it probably is) but my maths is very rusty and my old notes and text books don't seem to cover this particular problem.
What is the correct approach to integrating the product of two... | {
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What is the blindingly obvious thing that I am missing ? Am i on the right track with integrating by parts or is there an easier reduction of the problem given the similarities between the two functions?
Many thanks
According to what you wrote, you have the improper integral:
$$\displaystyle \int\limits^\infty_010e^... | {
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# Computing a rational number between two others, minimizing numerator and denominator
Given two positive rational number $\frac{a_1}{b_1}$ and $\frac{a_3}{b_3}$ (written in lowest terms) such that $$\frac{a_1}{b_1} < \frac{a_3}{b_3},$$ I want to find a rational number $\frac{a_2}{b_2}$ such that $$\frac{a_1}{b_1} < \... | {
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Your solution is not the best. (Take, for instance, 1/2 and 9/10.) One way to solve your problem is to calculate the continued fractions of the two numbers until they differ. Say the continued fractions start $[x_0;x_1,x_2,x_3]$ and $[x_0;x_1,x_2,y_3]$, with $x_3 \ne y_3$. Then you can just try all values $z_3$ between... | {
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# $\arctan(-3/2)$ doesn't give expected result.
Let's say I want to find the angle measure (in degrees) such that $\tan(x) = -3/2$.
It turns out that $x \approx 123.7$, and when I compute $\tan(123.7)$, I get $\approx -3/2$; so far so good.
However, when I compute $\arctan(-3/2)$, I get $\approx -56.3$ where I expec... | {
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Hint: How much is $180^\circ-56.3^\circ$ ?
The points on the circle corresponding to $-56.3^\circ$ and to $123.7^\circ$ are antipodal to each other, since $-56.3^\circ+ 180^\circ= 123.7^\circ$. The period of the tangent and cotangent functions is only a half circle, i.e. $180^\circ$, rather than a full circle as with ... | {
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# Prove that the multiplicative groups $\mathbb{R} - \{0\}$ and $\mathbb{C} - \{0\}$ are not isomorphic.
Is my proof correct? I have made use of the fact isomorphism preserves order of elements, which I proved couple of exercises back. I am also interested in other ways of proving it. Is there a more explicit way or i... | {
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Another way would be. Let's take $i$ and see what happen:
a) $f(i^2)=f(-1)=-1$, using basic properties of a morphism.
b) on the other side, we have $f(i)^2=x^2$ that can't produce -1.
• How do you know that $f(-1)=-1$? $f$ is just an isomoprhism of multiplicative groups, so it's not clear how it interacts with an addit... | {
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# Express this curve in the rectangular form
Express the curve $r = 9/(4+\sin \theta)$ in rectangular form. And what is the rectangular form?
if I get the expression in rectangular form, how am I able to convert it back to polar coordinate?
-
Clear the denominator, distribute, and notice that $y=r\sin(\theta)$ and $... | {
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$$y=-\frac{3}{5}\pm \frac{4}{15}\sqrt{81-15x^{2}}.$$
7) Check for extraneous solutions.
if I get the expression in rectangular form, how am I able to convert it back to polar coordinate?
The transformation of rectangular to polar coordinates is
$$r=\sqrt{x^{2}+y^{2}}, \qquad \theta =\arctan \frac{y}{x}\qquad \text{... | {
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# Is $i$ irrational?
On the one hand, $i(=\sqrt{-1})$ cannot be expressed as a ratio of integers, so, by definition, $i$ is not rational $\iff i$ is irrational.
However, the set of irrational numbers, $\mathbb{J}=\mathbb{R}\setminus\mathbb{Q}$ is defined to be the set of all real numbers that are not in $\mathbb{Q},$... | {
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For example, in my 2006/3/8 sci.math post I remarked that if one searches books.google.com for "irrational algebraic" one finds such usage by many eminent mathematicians: e.g. John Conway, Gelfond, Manin, Ribenboim, Shafarevich, Waldschmidt (esp. in diophantine approximation, e.g. Thue-Siegel-Roth theorem, Gelfond-Schn... | {
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• Could this concept be wxtwbded to other integer rings? Say I am working with $Z[\sqrt{-2}]$ and I divide $1+\sqrt{-2}$ by $2+\sqrt{-2}$. The thing I get does not belong the the algebraic integer ring, but might it be called "rational" with respect to the ring? – Oscar Lanzi Dec 31 '16 at 23:28
• @OscarLanzi Yes, frac... | {
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In the context of $\Bbb C$ we often talk less about irrational numbers so the context can be taken to both direction. It is possible to declare "In the context of the complex numbers, the irrational numbers are $\Bbb{C\setminus Q}$" in which case $i$ is certainly irrational, but it is also possible to make other declar... | {
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Several previous comments and answers apply, but no one yet seems to have mentioned Gaussian Integers, (see http://en.wikipedia.org/wiki/Gaussian_integer) - complex numbers whose real and imaginary parts are both (real) integers. By this definition, i is a Gaussian Integer. the concept extends to Gaussian Rationals (se... | {
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Sampling
# Continuous Time | {
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Sampling a continuous-time signal means representing it as a sequence of points measured at regular intervals
$T$
. Notice that if we were to take a signal
$x(t)$
and multiply it by an impulse train, then we would get a series of impulses equal to
$x(t)$
at the sampling points and
$0$
everywhere else. We can call this ... | {
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$X(\omega)$
.
When
$\omega_0 = 2\omega_M$
, then our ability to reconstruct the original signal depends on the shape of its Fourier Transform. As long as
$X_p(k\omega_m)$
are equal to
$X(\omega_m)$
and
$X(-\omega_m$
), then we can apply an LPF because we can isolate the original
$X(\omega)$
and take its inverse Fourier... | {
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## Theorem 18 (CT Nyquist Theorem)
Suppose a continuous signal
$x$
is bandlimited and we sample it at a rate of
$\omega_s > 2\omega_M$
, then the signal
$x_r(t)$
reconstructed by sinc interpolation is exactly
$x(t)$
# Discrete Time
Sampling in discrete time is very much the same as sampling in continuous time. Using... | {
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Notice that we have two ways of representing our sample signal. We can either write it as a discrete time signal
$x_d[n] = x(nT)$
or we can write it as an impulse train
$x_p(t)=\sum_{-\infty}^{\infty}{x(nT)\delta(t-nT)}$
. Based on their Fourier Transforms,
\begin{aligned} X_d(\Omega)=\sum_{n=-\infty}^{\infty}{x(nT)e^{... | {
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This shows us that as long as the Nyquist theorem holds, we can process continuous signals with a disrete time LTI system and still have the result be LTI. | {
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# Finding an unknown multiplying the determinant of a matrix A when given a modified matrix A
I need to solve the following problem:
$\det\begin{bmatrix} 7a_1 & 7a_2 & 7a_3\\4b_1+8c_1 & 4b_2+8c_2 & 4b_3+8c_3 \\ 6c_1 & 6c_2 & 6c_3\end{bmatrix}=k\det \begin{bmatrix} a_1 & a_2 & a_3 \\ b_1 & b_2 & b_3 \\ c_1 & c_2 & c_3... | {
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# Non-trivial lower bound approximation of a convex function using the second derivative at the minimum
Say that I am given an infinitely differentiable convex function $f: \mathbb{R}^n \rightarrow \mathbb{R}$.
I am wondering if I can construct a meaningful lower bound approximation of $f$ using it's minimum value $f... | {
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Clearly $f''(x) \geq 0$ for all $x$, so the function is convex. The function is also infinitely differentiable and has minimum at $x=0$, given by $f(0)=0$. Further, regardless of the value of $b>0$, we get $f''(0)=a$. However, the value of $f(z)$ is:
$$f(z) = \frac{a(bz + e^{-bz} - 1)}{b^2}$$
which can be made smalle... | {
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Intersection of uncountable set and countable set.
My friend told me that say you have an uncountable set $A$ and a countable set $B$, then the intersection of these two sets is the empty set. But wouldn't something like $A = [0,1]$ and $B = \{1, 2\}$ have the intersection of $\{1\}$? Also is there a way to prove this... | {
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# Math Help - cardinality of finite sets
1. ## cardinality of finite sets
Show that |P(X)| = 2 ^ (|X|) for all finite sets X
Any help would be greatly appreciated!! Thank you!
2. Originally Posted by pseudonym
Show that |P(X)| = 2 ^ (|X|) for all finite sets X
Any help would be greatly appreciated!! Thank you!
P... | {
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${n \choose 1} + {n \choose 2} + \dots + {n \choose n} = (1+1)^n = 2^n$
5. Originally Posted by Bruno J.
Why so complicated? Just notice that if you want to construct a subset $S$ of $X$, you have two possibilities for every element of $X$: either you include it, or you exclude it. So in total you have $2^{|X|}$ possi... | {
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${n \choose 1} + {n \choose 2} + \dots + {n \choose n} = (1+1)^n = 2^n$
The "another proof" is not so unless you first prove that there are $\binom{n}{k}$ subsets with k elements out of a set with n elements, $k\le n$, and also you forgot the number $\binom{n}{0}$ in the sum and also, and perhaps most important, this ... | {
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# Finding an orthonormal basis for the space $P_2$ with respect to a given inner product
I am so confused on what to do for this question.
The questions asks to find an orthonormal basis of $P_2$, the space of quadratic polynomials, with respect to the inner product $$\langle p, q\rangle = 2\int_{0}^{1} p(x)q(x)\, dx... | {
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Can you now normalise it (i.e. find the second vector in the new basis) and then find the third vector in the new basis?
• for the second vector do i do the formula thats something like x2 X v1/v1 x v1? – user123204 Mar 12 '14 at 22:18
• just wondering did you forget to multiply the 2 in front of the integral to solve... | {
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# Consider the linear transformation l p 3 7 p 3
• Notes
• 13
• 100% (2) 2 out of 2 people found this document helpful
This preview shows page 6 - 9 out of 13 pages.
4. (20 points) Consider the linear transformation L : P 3 7→ P 3 defined by L ( p ) = (1 - x 2 ) d 2 p dx 2 - 2 x dp dx a) Find the matrix representati... | {
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# Lecture 013
## Parameter Estimation
We want to estimate the probability $p$ of a coin by sampling. We took $n$ samples where each sample is $X_i$. Together, assume each $X_i$ are i.i.d., we have:
X = \sum_{i = 1}^n X_i
Therefore, we want to find out $\delta$:
\begin{align*} &Pr\{p \in [\frac{X}{n} - \delta, \fra... | {
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We define the total number of balls in bin $j$.
\begin{align*} B_j =& \text{Binomial}(n, \frac{1}{n})\\ =& \sum_{i = 1}^n X_i \tag{where $X_i = \begin{cases}1 & \text{if ith ball go to bin j}\\0&\text{otherwise}\end{cases}$}\\ \end{align*}
Want to show:
\begin{align*} &Pr\{\forall j, B_j < k\} \geq (1 - \frac{1}{n})... | {
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# Toronto Math Forum
## APM346-2016F => APM346--Tests => Q6 => Topic started by: XinYu Zheng on November 10, 2016, 08:54:19 PM
Title: Q6
Post by: XinYu Zheng on November 10, 2016, 08:54:19 PM
Solve
$$\begin{cases} u_{xx}+u_{yy}=0& r<a\\ u_r|_{r=a}=f(\theta) \end{cases}$$
Where
$$f(\theta)=\begin{cases} 1 & 0<\theta<\... | {
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# Finding $\int \frac{1}{1+x^3}dx$ without partial fractions
Find, without partial fractions $$\int\dfrac{1}{x^3+1}dx$$
My Attempt: I was able to do it via partial fractions by factoring the denominator as
$$(x+1)(x^2-x+1)$$
However, I then tried a different approach without using partial fractions. I added and sub... | {
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Start off with the substitution: $$x=\frac{1-t}{1+t}\Rightarrow dx=-\frac{2}{(1+t)^2}dt$$ This substitution produces a nice cancelation in the denominator, since: $$(1+t)^3+(1-t)^3=1+3t +3t^2+t^3 +1-3t+3t^2 -t^3=2(1+3t^2)$$
$$\int \frac{1}{1+x^3}dx=-\int\frac{1}{\frac{(1+t)^3}{(1+t)^3}+\frac{(1-t)^3}{(1+t)^3}}\frac{2}{... | {
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# Math Help - Simple Probability Problem
1. ## Simple Probability Problem
In a particular town 60% of the population are women. 4% of the men and 1% of the women are taller than 180 cm.
i) What % of the town's population is taller than 180 cm?
ii) If a person is chosen at random and is taller than 180 cm, what is t... | {
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Pr(W and T) = Pr(T| W) Pr(W) = (1/100) (3/5) = 3/500,
Pr(T) = Pr(M and T) + Pr(W and T) = 2/125 + 3/500 = 11/500 (= 0.022 as you found).
You require Pr(W | T).
$\Pr(W | T) = \frac{\Pr(W \cap T)}{\Pr(T)} = \frac{3/500}{11/500} = 3/11$.
4. You have the first part right, for the second one you need to use Baye's theor... | {
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Conditional Probability on dice
I have some trouble understanding the conditional probability of the following question.. Do pardon me even though it is a simple question..
Two fair dice are rolled and the sum on the faces is calculated. Find the probability : Pr(Sum of two dice is 8 | we know that the number on both... | {
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• My bad on the 'signs'. Will take note of that. I think I am still having issues understand when given a conditional prob. So suppose if now the question is stated something like Pr(Sum of two dice is 8 | we know that the number on both dice is <= 10), it will then be (5/36)/(33/36)? – dissidia Apr 20 '16 at 4:32
• I'... | {
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# Show that unit circle is not homeomorphic to the real line
Show that $S^1$ is not homeomorphic to either $\mathbb{R}^1$ or $\mathbb{R}^2$
$\mathbf{My \ solution}$:
So first we will show that $S^1$ is not homeomorphic to $\mathbb{R}^1$. To show that they are not homeomorphic we need to find a property that holds in... | {
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• $\Bbb R^2$ is covered by all open balls around the origin, but not by finitely many of these. -- For an alternative proof ide: $S 1$ minus two point sis disconnected, but $\Bbb R^2$ minus two points is connected. – Hagen von Eitzen May 12 '18 at 16:41
• $\mathbb{R}^2$ is not compact for the same reason that $\mathbb{... | {
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The removal of any two points from $S^1$ results in a disconnected space, but if you remove two points from $\Bbb R^2$, you still have a connected space.
• Why do you say connectedness is "simpler" than compactness? – GEdgar May 12 '18 at 17:15
• I find it simpler, conceptually. YMMV. – G Tony Jacobs May 12 '18 at 17:... | {
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# 5.3 - Mutual Independence
5.3 - Mutual Independence
## Example 5-6
Consider a roulette wheel that has 36 numbers colored red ($$R$$) or black ($$B$$) according to the following pattern:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 R R R R R B B B B R R R R B B B B B 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 2... | {
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## Example 5-7
One ball is drawn randomly from a bowl containing four balls numbered 1, 2, 3, and 4. Define the following three events:
• Let $$A$$ be the event that a 1 or 2 is drawn. That is, $$A=\{1, 2\}$$.
• Let $$B$$ be the event that a 1 or 3 is drawn. That is, $$B = \{1, 3\}$$.
• Let $$C$$ be the event that a ... | {
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Are events $$A, B,\text{ and }C$$ pairwise independent? Are they mutually independent?
In solving that problem, I admit to being a little loosey-goosey with the definition of "mutual independence." That's why I said "a sort of mutual independence." Now that I haven't been perfectly clear so far, let me set the record ... | {
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# Thread: Determine if this is a group
1. ## Determine if this is a group
Problem:
Determine if the set with the binary operation forms a group.
Set S = All real numbers except -1.
$\displaystyle a*b = ab+a+b$
****************
I know I need to check three things: associativity, if there is an identity, and if there... | {
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Difficult Probability Solved QuestionAptitude Discussion
Q. If the integers $m$ and $n$ are chosen at random from integers 1 to 100 with replacement, then the probability that a number of the form $7^{m}+7^{n}$ is divisible by 5 equals:
✔ A. $\dfrac{1}{4}$ ✖ B. $\dfrac{1}{7}$ ✖ C. $\dfrac{1}{8}$ ✖ D. $\dfrac{1}{49}... | {
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Hence the only set of values of $n$ are $(1,2,3,...,97),(1,2,3,...,93),(1,2,3,...,89),...,(1)$. Also fixing $n$ would fix $m$.
Therefore the number of favorable cases is $97+93+89+...+2=1224$. Which means that the required probability should be $\frac{1224}{^{100}C_2$ which turns out to be $\frac{68}{275}$, which is n... | {
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At this point you might be tempted to add the $100$ ways two numbers can be the same to the $4950$ ways they can be different and get $1225/5050=49/202$, but this would also be the wrong answer. The correct thing is to double the number $1225$ to get the total number of ways to choose $m$ and $n$ so that $7^m+7^n$ is d... | {
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# Amount of even zeros in a 0,1 alphabet n length word
How many words at the length of n above {0,1} alphabet the amount of zeros is even.
I understand the answer is $2^{n-1}$. I'm trying to come up with a reasonable explanation for why that is.
If I could prove that the amount of even and uneven numbers is always t... | {
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To those $2^{k-1}$ which have an even number of $0$s you add a $1$, making $2^{k-1}$ words of length $k+1$ that have an even amount of $0$s. To the other $2^{k-1}$ that have an odd number of $0$s, you add a $0$, making another $2^{k-1}$ words that have an even number of $0$s and length $k+1$. Therefore, you have a tota... | {
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Variational derivative of function with respect to its derivative [closed]
What is $$\frac{\delta f(t)}{\delta \dot{f}(t)}~?$$
Where $\dot{f}(t) = df/dt$.
• could you provide some context please? – ZeroTheHero Feb 25 '17 at 3:32
• It is purely a math question ,so better to ask in mathematics stack exchange – Lapmid ... | {
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The important thing to keep in mind is that a functional derivative is more like a gradient than an ordinary derivative. The reason that this is an important consideration is because, practically, we always specify functions with (possibly infinite) lists of numbers, be they: Taylor series coefficients, continued fract... | {
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• Since the choice of $t_0$ is arbitrary, your calculation seems to suggest that this variation $\frac{\delta f(t)}{\delta \dot{f}(t)}$ is not well defined. – taper Feb 25 '17 at 4:15
• @taper I have now addressed that, and you're right, only differences in that functional derivative are well defined. – Sean E. Lake Fe... | {
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# How to differentiate an absolut value, f(x)=│x^2-4│
1. Apr 30, 2005
### gillgill
how do u differentiate f(x)=│x^2-4│....?
i don't know how to do it with absolute values...
2. Apr 30, 2005
### cepheid
Staff Emeritus
If I remember right, define it in a piecewise fashion. Can you see that:
|x^2 - 4| = x^2 - 4 if ... | {
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# Calculation of a series using series definition
I have to calculate the series $$\sum_{k=2}^\infty \left(\frac 1k-\frac 1{k+2}\right)$$
Using the definition: $$L = \lim_{n\to\infty}S_n=\lim_{n\to\infty}\sum_{k=0}^na_k$$ Obviously $$\lim_{n\to\infty} (\frac 1n-\frac 1{n+2})=0$$, but I don't think that this is the ri... | {
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$$\textbf{Another, Different way}$$ that uses limit like you wanted to is to find the partial sum! You first compute, $$S_2 = \frac{1}{2} - \frac{1}{4}$$, $$S_3 = S_2 + \bigg( \frac{1}{3} - \frac{1}{5} \bigg)$$ and so on... What you will find (and you can prove this fact by induction) is that $$S_n = \dfrac{5n^2 + 3n -... | {
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If you write down some terms for $$n=5$$, we would get:
$$\sum_{k=2}^5 \frac1k-\frac{1}{k+2}=(\frac12-\frac14)+(\frac{1}{3}-\frac{1}{5})+(\frac{1}{4}-\frac{1}{6})+(\frac{1}{5}-\frac{1}{7})$$
Here we see, what is called "the series is telescoping". There is a pattern in addition and subtraction of specific summands. F... | {
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# Application Logarithms Real Life | {
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In the equation is referred to as the logarithm, is the base , and is the argument. The logarithm base 2 of y, denoted log2 y, is defined to be the number x such that 2x = y. MEASURING SOUND Standard unit: decibels Decibel scale: reflection of the logarithmic response of the human ear to changes in sound intensity Measu... | {
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- the kind of sophisticated look that today's audiences expect. The inverse of y =ln (x +1) is y =ex º1. Modelling Exponential Decay - Using Logarithms. Just like PageRank, each 1-point increase is a 10x improvement in power. Lifecasting Smooth-On Alja-Safe® alginate and Body Double® silicone rubber have become Hollywo... | {
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In compound interest formulas, is the balance, is the principal, is the annual interest rate (in decimal form), and is the time in years. There are real life applications of logarithms but there is little that you would do every life, I mean technically the computer uses it but there rly isn't anything you as a person ... | {
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A detailed inside to Logarithms. If you have a single logarithm on each side of the equation having the same base then you can set the Read more Solving Logarithmic Equations. The list below reviews some of the Azure Monitor options:. I like the example you chose to explain real-life situations of geometry. Tes Global ... | {
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content Join the Algebra 2 Teacher Community! Here you will find hundreds of lessons, a community of teachers for support, and materials that are always up to date with the latest standards. If the meter charges the customer a rate of $1. Digital imaging is another real life application of this marvelous science. For e... | {
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and logarithmic functions for College Algebra courses. The components of message based software systems like Client-/Server-, Multitier- and Service-Oriented-Architectures (SOA) may be simulated as well as tested in isolation and in their supposed interaction. General Logarithms. Logarithm(log) of a number to given bas... | {
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a, m, n, b (b 1 and c (c 1 the following properties hold. Learn about the countless hidden uses and applications which mathematics has in everyday life: From weather prediction to medicine, video games and music…. When given a problem on solving a logarithmic equation with multiple logs, students should understand how ... | {
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bride in the marketplace, so fraudulence is extremely uncommon. This function y = ln x can be viewed graphically:. This follows the rule that ⋅ = +. 82 Cloth face coverings are not a substitute for social distancing measures. You will have to cut those with your truck ax or takedown bucksaw. Defines common log, log x, ... | {
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which we meet in Logs to base 10 and Natural Logs (base e) in later sections. ) In addition, Napier recognized the potential of the recent developments in mathematics, particularly those of prosthaphaeresis, decimal fractions, and symbolic index arithmetic, to tackle the issue of reducing computation. Tutorial on diffe... | {
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a body, or how a fast-food chain expands its business as Khan. An application of the logarithmic function. Absolute Value Functions and Graphs - Word Docs & PowerPoints To gain access to our editable content Join the Algebra 2 Teacher Community! Here you will find hundreds of lessons, a community of teachers for suppor... | {
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using the formulas for com-pound and continuous interest. The first of these is the exponential function. In fact, we can use the Exponential Growth and Decay Formula to find snow depth levels, the magnitude of a star, how temperature affects a body, or how a fast-food chain expands its business as Khan. The natural lo... | {
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then the Mathematics Learning Centre booklet: Introduction to Exponents and Logarithms is the place to start. 10 5 is the same as 10 x 10 x 10 x 10 x 10, or 100,000. Consider for instance the graph below. 5 Exponential and Logarithmic Models 259 Additional Example Radioactive iodine is a by-product of some types of nuc... | {
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exponential-type problems. In particular, they are quite good for describing distance-speed-time questions, and modeling multi-person work problems. We recommend keeping it to 1-2 paragraphs. application note Authors Geert Vanden Poel DSM Resolve The Netherlands Vincent B. Its an example for modeling with Exponential a... | {
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represents the starting value such as the starting population or the starting dosage level. 13 word problems with Exponential. Defines common log, log x, and natural log, ln x, and works through examples and problems using a calculator. Exponential functions. Erdinç Çakıroğlu April, 2004, 123 pages The purpose of the s... | {
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we write as ln x. represents real-life situations using one-to one functions. Learn Applications in Engineering Mechanics from Georgia Institute of Technology. The properties of logarithms allow you to solve logarithmic and exponential equations that would be otherwise impossible. Logarithms in the Real World. The doub... | {
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and services with Azure Monitor. Auditing database activities manually is a herculean task. This first application is compounding interest and there are actually two separate formulas that we'll be looking at here. Fibonacci numbers and Phi are related to spiral growth in nature. Obama logs on amid the coronavirus pand... | {
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was Stringham's, in his 1893 text "Uniplanar Algebra". The ball hits the ground when h = 0. Solving Logarithmic Equations Generally, there are two types of logarithmic equations. To estimate the data in logs obtained from magnitude scales for earthquakes. I've heard that exponential growth is the same as the growth of ... | {
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systems around you. Each time you use an app like Facebook, send an instant message, or check the weather on your phone, you're using an API. International dating expert Hayley Quinn, gives advice on how to meet women in real life to help give you the skills you need to be great at dating women, wherever you meet them.... | {
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A worked example. How Are Logarithms Used In Real Life. 4 magnitude (reduced from an initial estimate of 5. Base 5 or base 7 have no real importance, other than providing practice in working with logarithms. Hypothetically in the same year, there is another earthquake recorded in South America that was eight times stro... | {
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from loopnet. In this section, we explore some important applications in more depth, including radioactive isotopes and …. M11GM-Id-1 2. y =ln (x +1) Write original function. LOGARITHMIC FUNCTIONS (Interest Rate Word Problems) 1. That means the logarithm of a given number x is the exponent to which another fixed number... | {
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hand, exponential word problems tend to be much more involved, requiring, among other things, that the student first generate the exponential. Printable in convenient PDF format. Lecture 10 - How Science Is. In addition, Logarithmic scales are used in Another application of proportions in the real life is in movies scr... | {
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What is logarithmic function? The logarithmic function is the inverse of the exponential function. Implicit in this definition is the fact that, no matter when you start measuring, the population will always take the same amount of time to double. Logos Bible Software combines books, a search engine, and tools that emp... | {
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