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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14680 | # What's a trivial property?
I have to show a property P is trivial.
This problem has to do with Rice's Theorem, which I do not completely understand. Can someone explain the difference between trivial and non-trivial properties?
• To understand Rice's theorem, see this question.
– Juho
Feb 6 '14 at 20:26
• this is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14681 | # Kuratowski’s closure-complement theorem
One of my favorite theorems in elementary topology is Kuratowski’s closure-complement theorem.
First some notation. For any set $A\subset\mathbf{R}$ let $A^c$ denote the complement of $A$ and $A^-$ denote the closure of $A$. (Recall that $A^c=\mathbf{R}-A$ and $A^-$ is the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14683 | # Invertible and primitive polynomials
I shall prove some properties on a polynomial ring $R[x]$ over a commutative ring $R$, and there are two with which I struggle:
For some $f=a_0+a_1x+\cdots+a_nx^n\in R[x]$,
1. $f$ is invertible in $R[x] \Leftrightarrow a_0$ is invertible, and $a_1,...,a_n$ are nilpotent.
2. $f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14684 | # Complex numbers: if (u+v)/(u-v) is purely imaginary, show that mod(u)=mod(v)
#### jisbon
Homework Statement
If u and v are complex numbers such that u+v/u-v is purely imaginary, show that mod(u)=mod(v)
Homework Equations
NIL
I'm kind of stuck over here at one part, but something is telling me that it might be wrong... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14687 | # How do you find the volume of the solid generated by revolving the region bounded by the graphs y=x, y=0, y=4, x=6, about the line x=6?
May 30, 2017
$V = \frac{208}{3} \pi$
#### Explanation:
Here is the region described:
We can find this area in one of two ways. Method 1 uses intuitive geometric properties to fi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14673 | # Configuration space
The configuration space is the space of the generalized coordinates of a system, e.g. B. classical mechanics . The dimension of the configuration space is the number of independent degrees of freedom of the system. Any actual movement can be projected from the state space into the configuration s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14682 | # Geometría Algebraica
Organizadores: Álvaro Rittatore (alvaro@cmat.edu.uy), Pedro Luis del Ángel R. (luis@cimat.mx)
• #### Lunes 13
15:00 - 15:45
#### Actions and Symmetries
Rubí Rodríguez (Universidad de la Frontera, Chile)
I will discuss some classical and some recent results about group and algebra actions on... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14686 | How do you translate "5 minus twice a number" into an algebraic expression?
$5 - 2 x$
Let our number be $x$
2 lots of our number is $2 x$
5 minus this therefore is $5 - 2 x$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11953 | # Astonishing Numbers
• Published in 2001
In the collections
We say that an ordered pair of positive integers $a,b$ with $a \lt b$ is astonishing if the sum of the integers from $a$ to $b$, inclusive, is equal to the digits of $a$ followed by the digits of $b$. Determine all astonishing ordered pairs.
## Other inform... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11954 | 6:55 AM
1
I want to prove that a linear functional $T$ on a normed space $X$ is bounded if and only if $T^{-1}(\{0\})$ is closed. The implication "$\Rightarrow$" is easy. Boundedness of a linear functional is equivalent to beeing continuous. Singletons in normed spaces (which are metric spaces) are closed....
In func... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11955 | Vector Subtraction - Maple Programming Help
Home : Support : Online Help : Math Apps : Calculus : Multivariate : MathApps/VectorSubtraction
Vector Subtraction
Main Concept
Vectors quantities have both magnitude and direction.
Vectors can only be subtracted from other vectors.
Given two vectors a and b, their di... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11956 | # Rotating axes to elimnate xy
1. Aug 24, 2005
### TonyC
I am having trouble rotating the axes to eliminate the xy-term.
8x^2+64xy+8y^2+12x+12y+9=0
I know Ax^2+Bxy+Cy^2+Dx+Ey+F=0
however, the professor is looking for an equation not an answer.
Here are my choices and I am stumped:
40x^2 + 12 sq rt2 x + 12 sq rt 2 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11957 | Department of Pre-University Education, KarnatakaPUC Karnataka Science Class 11
# In the Bohr Model of Hydrogen Atom, the Electron is Treated as a Particle Going in a Circle with the Centre at the Proton. the Proton Itself is Assumed to Be Fixed in an Inertial Frame. - Physics
#### Question
In the Bohr model of hydr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11958 | ## Peirce’s 1870 “Logic Of Relatives” • Comment 11.17
I think the reader is beginning to get an inkling of the crucial importance of the “number of” function in Peirce’s way of looking at logic. Among other things it is one of the planks in the bridge from logic to the theories of probability, statistics, and informat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11960 | Two ways of diagonalising a matrix?
I'm just trying to clear a few things up about diagonalising a matrix. As I understand it, if you have a Euclidean space and a symmetric matrix, there is essentially two ways of diagonalising this matrix.
One is for the quadratic form generated by this matrix, finding an orthogonal... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11961 | ## Fourier series and boundary value problems. 3rd ed.(English)Zbl 0378.42001
Düsseldorf etc.: McGraw-Hill Book Company. VIII, 271 p. DM 46.20 (1978).
### MSC:
42-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces 42A16 Fourier coefficients, Fourier ser... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11962 | • Wikis
Index ellipsoid: Wikis
Note: Many of our articles have direct quotes from sources you can cite, within the Wikipedia article! This article doesn't yet, but we're working on it! See more info or our list of citable articles.
Encyclopedia
In optics, an index ellipsoid is a diagram of an ellipsoid that depic... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11965 | # Orthogonal rotation
#### Petrus
##### Well-known member
Hello MHB,
Do anyone know any good page that give you good describe when you rotate with orthogonal. I mean when you rotate base or vector in a orthogonal base ( hope this make sense) cause I did not understand from my book
Regards,
$$\displaystyle |\pi\rangl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11966 | # Article
Full entry | PDF (0.4 MB)
Keywords:
hypercube; perfect matching; 1-factor; $r$-extendability
Summary:
A graph having a perfect matching is called $r$-extendable if every matching of size $r$ can be extended to a perfect matching. It is proved that in the hypercube $Q_n$, a matching $S$ with $|S|\leq n$ can... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11967 | # Pricing and Valuing Interest Rate Swap Contracts
Swaps are typically derivative contracts in which two parties exchange (swap) cash flows or other financial instruments over multiple periods for a give-and-take benefit, usually to manage risk.
Both swap contract parties have future obligations. Therefore, similar t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11952 | +0
# if u got 1 dolloar each 3 seconds for 19 min how much would it be?
0
56
2
if u got 1 dolloar each 3 seconds for 19 min how much would it be?
Nov 26, 2021
#1
+306
+2
60 seconds in a minute, so you get 60/3=20 dollars each minute, and the answer is $$19\cdot20=\boxed{380}$$
Hope this helped :)
Nov 26, 2021
#... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11963 | # Trigonometric substitution - Integration Techniques
## Trigonometric Substitution
Not all integrals can be solved by using u-substitution. For example let's say we want to integrate
Are we able to use u-substitution here? Well let us set
If we are to substitute this, our integral will become:
As you can see, thi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_11964 | # Factorizing determinants and rules to simplify them
1. Feb 23, 2015
### PcumP_Ravenclaw
1. The problem statement, all variables and given/known data
2. Evaluate the determinants
$\begin{vmatrix} 1 & 1 & 1\\ x & a & b \\ x^2 & a^2 & b^2 \\ \end{vmatrix}$
$\begin{vmatrix} x & a & b \\ x^2 & a^2 & b^2 \\ x^3 & a^3 ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_48 | # Give a combinatorial proof for the identity
I have been given a question that asks me to prove that $$\frac{1}{(1-x)^n}=1+\binom{1+n-1}{1}x+\binom{2+n-1}{2}x^2+\cdots+\binom{r+n-1}{r}x^r+\cdots$$ using a combinatorial proof. I know the equation can also be written as $$\biggr(\sum_{k=0}^\infty x^k\biggr)^n=\sum_{k=0... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_49 | # Addition of Rational Number with Same Denominator
We will learn the addition of rational number with same denominator. In order to add two rational numbers having the same denominator, we follow the following steps:
Step I: Let us obtain the numerators of two given rational numbers and their common denominator.
St... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_50 | Problem 04 | First Shifting Property of Laplace Transform Jhun Vert Mon, 05/11/2020 - 03:35 pm
Problem 04
Find the Laplace transform of $f(t) = e^t \sinh 2t$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_51 | # 1 Opening items
## 1.1 Module introduction
When two billiard balls collide they remain in contact for only a very short time, during which the forces between them vary rapidly. To predict the outcome of such a collision by calculating the acceleration of each ball at each instant of time we would need to know exact... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_52 | # How to calculate this integral?
Printable View
• November 17th 2012, 03:58 AM
xinglongdada
How to calculate this integral?
Hey, how are you? I was troubled by calculating $f(a)=\int_0^\pi \log(1+a \cos x)dx.$ Here, $|a|<1$ is real.
I do know we can differentiating under the integral, however, I could not see any m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_53 | # Why is this wrong? (gravitational flux)
## Main Question or Discussion Point
in my notes i have..
$\Phi$ = $\int$ $\vec{g}\cdot$dA = g(4$\pi$r2) = -$\frac{GM}{r^2}$(4$\pi$r2)
which yields $\vec{g}$=-$\frac{GM}{r^2}$
here's what i did independently..
$\Phi$ = $\int$ $\vec{g}\cdot$dA = -$\frac{GM}{r^2}$(4$\pi$r2)... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_55 | # The cross section for production of a fermion-antifermion pair in Peskin and Schroeder (Eq.7.92)
I'm working on the Eq.$$7.92$$ in Peskin $$($$page $$252)$$
I have two questions here：
Question $$\bf 1$$ : That is just what we would expect from the unitarity relation shown in Fig. $$7.6~(\text b)$$;
The Fig. $$7.6... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_58 | Question
# Find the mean of the following distribution: x: 10 12 20 25 35 f: 3 10 15 7 5
Solution
## The given distribution in tabulated form is Prepare the following frequency table of which the first column consists of the values of the variate and the second column the corresponding frequencies. Multiply the fr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_60 | # Insurance Loss Models
### Calculating the variance of insurance payment
Posted on Updated on
The post supplements a three-part discussion on the mathematical models of insurance payments: part 1, part 2 and part 3. This post focuses on the calculation of the variance of insurance payments.
There are three practic... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_61 | # Mathematics Colloquium
All colloquia are on Fridays at 4:00 pm in Van Vleck B239, unless otherwise indicated.
## Spring 2013
date speaker title host(s)
Tues, Jan 15, B139 Lillian Pierce (Oxford) A new twist on the Carleson operator Denissov
Thurs, Jan 17, 2pm, 901VV Jonah Blasiak (Michigan) Positivity, complexity,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_62 | # How does one create the unitary sending $|0\rangle$ into a target quantum state?
The Hadamard gate allows us to construct an equal superposition of states. If one wants to construct an arbitrary superposition e.g. $$\alpha\vert 0\rangle + \beta\vert 1\rangle + ..$$, how does one create the corresponding unitary?
Su... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_63 | # How to Find Domain and Range of Trigonometric Functions?
We can determine the domain and range of trigonometric functions easily. Learn how to find the domain and range of trigonometric functions by the following step-by-step guide.
The domain and range of trigonometric functions can be found by examining where the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_56 | Modifying the “base” of Veblen's hierarchy to exceed $\Gamma_0$
The Veblen hierarchy is usually defined with $$\varphi_0(x) = \omega^x$$. As a result, we can define the Feferman–Schütte ordinal as the first fixed point of the function $$\varphi_\alpha(0) = \alpha$$.
I am wondering if it is possible to exceed this by ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_57 | # In 8 basketball games, Deepa scored 7, 4, 3, 6, 8, 3, 1 and 5 points. In her ninth game, she scored less than 10 points and her average for 9 games was an integer. Again in her 10th game, she scored less than 10 points and her average for 10 games was an integer also. What is the product of the numbers of points scor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_560 | # Newbie question on equations
Discussion in 'General Electronics Chat' started by OBIE, Feb 28, 2012.
1. ### OBIE Thread Starter New Member
Feb 28, 2012
11
0
Hello,
I've been going thru the worksheets and came across some algebra manipulations that were beyond me.
The question is:
Manipulate this equation to solve ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_561 | # Case Study Question 03
## Chapter 13: Surface Areas and Volumes
### Class 10
Visit to Sanchi Stupa
Ajay is a Class X student. His class teacher Mrs. Kiran arranged a historical trip to great Stupa of Sanchi. She explained that Stupa of Sanchi is great example of architecture in India. Its base part is cylindrical... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_562 | Reletivity question
1. Sep 25, 2008
fredrick08
1. The problem statement, all variables and given/known data
An event has spacetime coordinates (x, t) = (1200 m, 2.0 μs) in reference frame S. What are
the event’s spacetime coordinates
(i) in reference frame S′ that moves in the positive x-direction at 0.8c and
(ii) i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_564 | ## Algebra 2 Common Core
$x^3-36x=x(x-6)(x+6)$
Factor out the GCF $x$ to get $x(x^2-36)$. Factor the difference of two squares: $x(x-6)(x+6)$. Check by multiplying the factors: $=x(x^2+6x-6x-36) \\=x(x^2-36) \\=x^3-36x$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_565 | # Percentage Of Population Increase
• January 30th 2007, 07:05 AM
Rimas
Percentage Of Population Increase
In 1988 the population f Abra increased by 20% while the population of Cadabra decreased by 10% after which thw two populations were equal. What % of the original population of Cadabra was the orginal poplation of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_567 | # How do you factor 64-y^2?
Jun 18, 2015
#### Answer:
Here's the result: $\left(8 - y\right) \left(8 + y\right)$
#### Explanation:
Start off by appreciating the fact that: $\left(a - b\right) \left(a + b\right) = {a}^{2} + \textcolor{red}{a b - a b} - {b}^{2}$
$\implies \left(a - b\right) \left(a + b\right) = {a}^... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_568 | Time Reversal Property of Z-Transform
Signals and SystemsElectronics & ElectricalDigital Electronics
Z-Transform
The Z-transform is a mathematical tool which is used to convert the difference equations in discrete time domain into the algebraic equations in z-domain. Mathematically, if $\mathrm{\mathit{x\left ( n \r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_569 | Change the chapter
Question
Do Exercise 3.16 again using analytical techniques and change the second leg of the walk to straight south. (This is equivalent to subtracting B from A—that is, finding R' = A - B) (b) Repeat again, but now you first walk 25.0 m north and then 18.0 m east. (This is equivalent to subtract A f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_570 | # Continuous Bounded Cohomology of Locally Compact Groups
Format: Paperback
Language: English
Format: PDF / Kindle / ePub
Size: 10.77 MB
When used in a course (probably advanced undergrad or beginning grad), it should definitely be supplemented with more thorough texts, such as Geometry of Physics by Frankel. If t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_571 | Date & Time: Thursday, February 26, 2015, 14:00-15:30.
Venue: Ramanujan Hall
Title: On maximum number of points in a maximal intersecting family of finite sets
Speaker: Kaushik Majumder, ISI Bangalore
Abstract: Paul Erd\H{o}s and L\'{a}szl\'{o} Lov\'{a}sz proved that, for any positive integer $k$, up to isomorphism ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_573 | # If $B$ is a maximal linearly independent set in $V$ then $B$ is a basis for $V$
How can you show that if $B$ is a maximal linearly independent set of $V$, then this implies that $B$ is a basis of $V$?
#### Solutions Collecting From Web of "If $B$ is a maximal linearly independent set in $V$ then $B$ is a basis for ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_574 | # Roots of equation.
1. Oct 10, 2009
### icystrike
1. The problem statement, all variables and given/known data
Show that there is only one stationary point of the curve $$y=e^{x/2} - ln (x)$$, where x>0 and determine the nature of the stationary point.
My approach:
dy/dx = $$0.5e^{x/2} - 1/x$$
When dy/dx=0 For s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_575 | # Number of Zeros of a Complex Function
I need help solving this problem. I think it involves Rouche's Theorem but I am not sure.
Determine the number of zeros of the function in the upper half plane. $f(z)=z^4+3iz^2+z-2+i$
-
so $z=a+b*i$ right? – dato datuashvili Apr 3 '13 at 5:36
half upper plane means that imagi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_563 | # actuarial annuity formula
Actuarial present value factors for annuities, life insurance, life expectancy; plus commutation functions, tables, etc. Whole life insurance pays a pre-determined benefit either at or soon after the insured's death. t The probability of a future payment is based on assumptions about the pe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_572 | # Let's do some simple casework
Probability Level 2
Find the number of $2$ digit numbers whose digit sum is a perfect square.
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18240 | Concise Maths Solutions Circles Chapter-17 ICSE Class 10. Solutions of Exercise – 17 (A), Exercise – 17 (B), Exercise – 17 (C)for Concise Selina Maths of ICSE Board Class 10th. Concise Maths Solutions Circles Chapter-17 for ICSE Maths Class 10 is available here. All Solutions of Concise Selina Maths of Circles Chapter-... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18241 | Subsections
Applications of exponential and logarithmic functions
Purpose
The purpose of this lab is to use Maple to study applications of exponential and logarithmic functions. These are used to model many types of growth and decay, for example bacterial growth and radiaoctive decay. This lab also describes applica... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18242 | # Required acceleration for takeoff
1. Sep 9, 2011
### J-Girl
Ive come accross this question, and just pondering on is i am right or completely wrong?! The question is: A jumbo jet must reach a velocity of 360km/h for takeoff. It uses a 1.8km runway. What is the constant acceleration required for it to reach the vel... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18243 | Top
# Volume of a Cone
There is an important field of study in mathematics, called mensuration. It is the study of areas and volumes two-dimensional as well as three-dimensional shapes. The shapes that are studied under mensuration are - circle, rectangle, polygon, triangle, square, cube, cuboid, pyramid, cylinder, c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18244 | # Elements of group of permutations that is isomorphic to quaternion group G = { 1 , i , j , k , − 1 , − i , − j , − k } and exhibits isomorphism from quaternion group G = { 1 , i , j , k , − 1 , − i , − j , − k } to permutations of quaternion group G = { 1 , i , j , k , − 1 , − i , − j , − k } .
### Elements Of Moder... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18245 | # Question
1. For E5-13, prepare a cost of production summary for the month ended January 31, 2013.
In E5-13, Charlotte Concrete Inc. has two production departments. Blending had 1,000 units in process at the beginning of the period, two-fifths complete. During the period 7,800 units were received from Mixing, 8,200 u... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18246 | 2021-02-15
# Measurement Uncertainty
Typically when you measure things, there is a certain amount of error. In everyday life, this is ignored for the most part. I was thinking about uncertainty in measuring areas. Like everyone else, I learned about uncertainty in measurement in high school during science class. It w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18247 | # An Unknown Compound
1. ### haengbon
38
1. The problem statement, all variables and given/known data
A compound containing element A and oxygen has a mole ratio of A:O = 2:3. If 8.0 grams of the oxide contains 2.4 grams of oxygen...
a) what is the atomic weight of A?
b) what is the weight of one mole of the oxide?... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18248 | # .
A special right triangle is a right triangle with some regular feature that makes calculations on the triangle easier, or for which simple formulas exist. For example, a right triangle may have angles that form simple relationships, such as 45–45–90. This is called an "angle-based" right triangle. A "side-based" r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18249 | What is FEA | Finite Element Analysis?
The Finite Element Analysis (FEA) is the simulation of any given physical phenomenon using the numerical technique called Finite Element Method (FEM). Engineers use it to reduce the number of physical prototypes and experiments and optimize components in their design phase to dev... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18250 | # calcHist() with CV_32F
Hello,
To compute a histogram of a CV_8U image (values between 0 and 255) knowing that the upper boundary in histRange is exclusive, we have
int histSize = 256;
float range[] = { 0, 256 } ;
const float* histRange = { range };
calcHist( &image, 1, 0, Mat(), histogram, 1, &histSize, &histRange... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18251 | Selected problems
## Angular momentum and energy
This diagram describes the relationship between force (F), torque (τ), momentum (p), and angular momentum (L) vectors in a rotating system. 'r' is the radius. Credit: Yawe.
Angular momentum and energy are concepts developed to try to understand everyday reality.
An a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18254 | Power series.
Definition 10.3.1 A power series is a series of the form
where is a real variable, is a fixed real number called the center.
The sequence of real numbers is called the sequence of coefficients of the series.
Example 10.3.2
• The power series is a geometric series with ratio equal to . It is converg... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18255 | # Prove that the series $\sum\limits_{k=1}^{\infty}[\ln(ak+b)- \ln(ak)]$ diverges
Let a and b be positive numbers.
Prove that the series $\sum_{k=1}^{\infty}(ln(ak+b)- ln(ak))$ diverges.
At first I thought expanding it would mean a few terms get cancelled out but it only works out for a few values of a and b. But th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18252 | # Thread: Probability Quiz
1. ## Probability Quiz
taken from an article by Nassim Taleb here.
THE WORLD QUESTION CENTER 2006 — Page 17
In it, he highlighted this:
I've enjoyed giving math students the following quiz (to be answered intuitively, on the spot). In a Gaussian world, the probability of exceeding on... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3056 | «上一篇
文章快速检索 高级检索
哈尔滨工程大学学报 2018, Vol. 39 Issue (9): 1485-1490 DOI: 10.11990/jheu.201706040 0
### 引用本文
GUO Dan, XIA Hong, YANG Bo. Modeling and control on dynamic water level of steam generator with natural circulation[J]. Journal of Harbin Engineering University, 2018, 39(9), 1485-1490. DOI: 10.11990/jheu.201706... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3057 | Deepak Scored 45->99%ile with Bounce Back Crack Course. You can do it too!
# Solve the following :
Question:
A block of mass $2.0 \mathrm{~kg}$ is moving on a frictionless horizontal surface with a velocity of $1.0 \mathrm{~m} / \mathrm{s}$ towards another block of mass kept at rest. The spring constant of the sprin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3059 | # curve
• June 9th 2008, 03:09 AM
curve
(x^2 -9)/(x^2-6x+5)
How many times does this cross the x-axis?
Not sure what to do with this - any help or hints greatly appreciated. Thanks.
• June 9th 2008, 03:13 AM
Moo
Hello,
Quote:
$\frac{x^2-9}{x^2-6x+5}=0 \Longleftrightarrow x^2-9=0$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3060 | # Find unknown base value with large exponent and Fermat's Little Theorem
Find $x$ for $x^{701} \equiv 3 \pmod {139}$ using Fermat's Little Theorem.
I believe the answer is $x = 88$.
Since 139 is prime, I use: $a^{p - 1} \equiv 1 \pmod p$
$$701 = 5 \times 138 + 11$$
\begin{align}(x^{138})^5 \times x^{11} &\equiv 3... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3061 | # How to fit a gls model with a known slope
i want to fit a gls model (from nlme package) with a specified slope, so i can get the computed intercept for the best fit. I tried to set the slope with an offset. Althogh it works fine with lm, it seems to get ignored when using gls (which i need to, sence my dataset prese... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3062 | # Math Help - continuous functions between Topologies
1. ## continuous functions between Topologies
Hi there, I've got quite a big assignment about topological spaces and think I'm doing OK apart from this bit...
Let X and Y be topological spaces. Show that $f : X \rightarrow Y$ is continuous if and only if
$\forall... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3064 | # Paul Antoine Aristide Montel
### Quick Info
Born
29 April 1876
Nice, France
Died
22 January 1975
Paris, France
Summary
Paul Montel was a French mathematician who worked on complex analytic functions.
### Biography
Paul Montel was the son of Anais Magiolo and Aristide Montel, who was a photographer. He was educat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3065 | # Difference Between Percentage and Percentile
The key difference between percentage and percentile is the percentage is a mathematical value presented out of 100 and percentile is the per cent of values below a specific value. The percentage is a means of comparing quantities. A percentile is used to display position... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3066 | Article Contents
Article Contents
# Gradient blowup rate for a semilinear parabolic equation
• We present a one-dimensional semilinear parabolic equation $u_t=$u xx$+x^m |u_x|^p, p> 0, m\geq 0$, for which the spatial derivative of solutions becomes unbounded in finite time while the solutions themselves remain bounde... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3067 | # Given the circle (x – 6)^2 + (y + 2)^2 = 9, how do you determine if the line with an equation of x = 9 is a tangent to the circle, a secant to the circle, or neither?
May 22, 2016
When you're in the form ${\left(x - n\right)}^{2} + {\left(y - m\right)}^{2} = {r}^{2}$, the point $\left(n , m\right)$ is the center of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3068 | # Thread: even/odd trig functions
1. ## even/odd trig functions
How can I tell if each of these functions are even or odd?
$f(x) = \sin{x}$
$f(x) = \cos{x}$
$f(x) = \tan{x}$
$f(x) = \sec{x}$
2. Originally Posted by live_laugh_luv27
How can I tell if each of these functions are even or odd?
$f(x) = \sin{x}~\color{b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3070 | Triangulated category
In mathematics, a triangulated category is a category together with additional structure, a "translation functor" and a class of "distinguished triangles". Prominent examples are the derived category of an abelian category (more generally, the homotopy category of a stable ∞-category) and the sta... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3071 | Explore BrainMass
# Divergence Theorem
Not what you're looking for? Search our solutions OR ask your own Custom question.
This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
Real Analysis
Divergence Theorem
Let V be a region in 3complying with the hyp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3058 | a problem of comparison geometry: Riemannian manifold with upper bounded sectional curvaturee
I have a question about Comparison Geometry:
I have a Riemannian Manifold $(X,g)$, complete and simply connected, with sectional curvature upper bounded by a positive constant $k>0$, so I can compare $(X,g)$ with the sphere ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3069 | # Systems in echelon form
The systems in echelon form are those in that every equation has one unknown less than the previous one.
See the following example:
$$\left\{ \begin{array}{c} x+y+z=3 \\ y-z=2 \\ z=-1 \end{array} \right.$$$It is simple to solve. We start with $$z=-1$$ and we replace it in the second equatio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18912 | # How do you find the integral from 0 to 3 of (1/2 x - 1) dx?
Apr 13, 2015
${\int}_{0}^{3} \left(\frac{1}{2} x - 1\right) \mathrm{dx} = {\int}_{0}^{3} \left(\frac{1}{4} {x}^{2} - x\right) \mathrm{dx}$
We have :
$\frac{1}{2} {\left[\left(\frac{1}{2} {x}^{2} - 2 x\right)\right]}_{0}^{3}$
Therefore :
$\frac{1}{2} \l... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18913 | # Pullback of $0$-cycle by generically finite rational map
Let $f:Y\dashrightarrow X$ be a generically finite (and separable) rational map of smooth projective $k$-varieties and $x,y\in U(k)$ be two rational points, where $U\subset X$ is an open subset of $X$ over which $f_{|}:f^{-1}(U)\rightarrow U$ is a finite morph... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18914 | # Extreme Value Theorem (Finding Extrema)
The Extreme Value Theorem is helpful. It says that if a function is continuous on a closed bounded interval, it must attain its maximum and minimum values. But what are critical numbers, relative extrema, and absolute extrema? We go through all of these concepts in detail.
Re... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18915 | #### Vol. 14, No. 5, 2021
Recent Issues
The Journal About the Journal Editorial Board Editors’ Interests Subscriptions Submission Guidelines Submission Form Policies for Authors Ethics Statement ISSN: 1944-4184 (e-only) ISSN: 1944-4176 (print) Author Index Coming Soon Other MSP Journals
Uniform subsequential estimat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18917 | # What are the absolute extrema of f(x)=x^(1/3)*(20-x)in[0,20]?
Feb 14, 2018
The absolute minimum is $0$, which occurs at $x = 0$ and $x = 20$.
The absolute maximum is $15 \sqrt[3]{5}$, which occurs at $x = 5$.
#### Explanation:
The possible points that could be absolute extrema are:
1. Turning points; i.e. point... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18919 | Under the auspices of the Computational Complexity Foundation (CCF)
REPORTS > DETAIL:
### Paper:
TR09-048 | 29th May 2009 00:00
#### On the Complexity of Boolean Functions in Different Characteristics
TR09-048
Authors: Parikshit Gopalan, Shachar Lovett, Amir Shpilka
Publication: 1st June 2009 09:49
Keywords:
Abst... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18920 | ## Week 6- Applying the quadratic formula
This week we learned a few ways on finding the answer to a quadratic equation and of them is using the formula shown at the very top of the photo. To use this equation you must plug in the right numbers in the right places.
A is the coefficient of the $x^2$ So in this case it... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18922 | # The Two-body problem
Various implementations of the Two-body problems are described
Available with Zymplectic v.0.1.0
The Two-body problem is about predicting the motion of two interacting objects. Here we will consider two heavenly bodies referred to as objects with masses m0 and m1 gravitationally bound by the po... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18923 | ## seidi.yamauti 3 years ago There's a problem in Halliday I - chapter 1 In my book it's question 19 (but it's a brasillian version). I'll try to translate it from portuguese :P "Suppose you are laid at the beach, near the equator, looking the sun going down in a calm sea, and turns on a cronometer in the (exactly) mom... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18924 | # Classification of Irrational Straight Lines derived from Binomial Straight Line
## Theorem
In the words of Euclid:
The binomial straight line and the irrational straight lines after it are neither the same with the medial nor with one another.
## Proof
the square on a medial, applied to a rational straight line,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18925 | # The vector area of triangle whose two sides are given by $2 \hat {i}-7 \hat {j}+\hat {k}$ and $4 \hat j -3 \hat k$ is :
$(a)\;\frac{17}{4}\;sq.units \quad (b)\;\frac{17}{2} \;sq.units \quad (c)\;17\;sq.units \quad (d)\;none\;of\;these$
$(d)\;none\;of\;these$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18926 | Dictionary Definition
candela n : the basic unit of luminous intensity adopted under the Systeme International d'Unites; equal to 1/60 of the luminous intensity per square centimeter of a black body radiating at the temperature of 2,046 degrees Kelvin [syn: candle, cd, standard candle]
User Contributed Dictionary
En... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18927 | # Math Help - Permutation Group
1. ## Permutation Group
Let $A=\{1.2.3\}$ and $(S_A,\circ)$ be the symmetric group. Then $(S_A,\circ)$ has 3!=6 elements.
Let $S_3=\{\alpha_1,\alpha_2,\alpha_3,\alpha_4,\alpha_5 ,\alpha_6\}$ and
$
\alpha_1=\left(\begin{array}{ccc}1&2&3\\1&2&3\end{ array}\right)\:\\\alpha_2=\left(\beg... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18916 | # E-PolyLearning
1. The way of getting information from measuring the observation whose outcomes occurrence is on chance is called a. beta experiment b. random experiment c. alpha experiment d. gamma experiment
2. The probability of second event in the situation if the first event has been occurred is classified as... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_18921 | # Properties
Label 462.2.k.e Level $462$ Weight $2$ Character orbit 462.k Analytic conductor $3.689$ Analytic rank $0$ Dimension $8$ CM no Inner twists $2$
# Related objects
## Newspace parameters
Level: $$N$$ $$=$$ $$462 = 2 \cdot 3 \cdot 7 \cdot 11$$ Weight: $$k$$ $$=$$ $$2$$ Character orbit: $$[\chi]$$ $$=$$ 4... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2483 | # Algebraically independent matrix invariants
Let $V$ be the space of pairs of $n \times n$ matrices over $\mathbb{C}$ and let $G$ be the space of $n \times n$ permutation matrices which acts on $(A,B) \in V$ by simultaneous conjugation. It is obvious that for any $i, j \in \mathbb{N}$, $Tr(A^i \cdot B^j)$ is an invar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2484 | Partition matroid
In mathematics, a partition matroid or partitional matroid is a matroid formed from a direct sum of uniform matroids.[1]
Definition
Let $B_i$ be a collection of disjoint sets, and let $d_i$ be integers with $0\le d_i\le |B_i|$. Define a set $I$ to be "independent" when, for every index $i$, $|I\cap... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2485 | Tilting modules arising from ring epimorphisms - Mathematics > Representation Theory
Abstract: Given a ring R, we investigate tilting modules of the form S \oplus S-R forsome injective ring epimorphism R \to S. In particular, we are interested intilting modules arising from Schofield-s universal localization. For some... |
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