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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15726 | # How many sequences :$a_1,a_2,…,a_8$
How many sequences $a_1,a_2,...,a_8$ from zeros and ones ,and such that :
$$a_1\cdot a_2+a_2 \cdot a_3+\cdots + a_7\cdot a_8=5$$
-
Is this homework ? what did you try ? – Belgi Sep 19 '12 at 12:04
You can solve the problem by analyzing how many zeros there are in the sequence a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15713 | # Familiar with similar?
If the line segment with length $a$ is parallel to the line segment with length $x$ In the diagram above, then what is the value of $x?$
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15719 | # GRE Question of the Day (June 11th)
- Jun 11, 02:00 AM Comments [0]
## Quant
Which of the following functions has as its domain the set of all real numbers?
Indicate all that apply.
A. $${f(x)=\frac{{4}}{{x+4}}}$$
B. $${ f(x)=\frac{{4}}{{x^2+1}}}$$
C. $${f(x)=[square_root]4x^3[/square_root]}$$
D. $${f(x)=[squ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15723 | # proof of basis of ideal in algebraic number field
Although it is stated in a number field context this theorem is about $\mathbb{Z}$-modules. $\mathcal{O}_{K}$ is an integer ring, that is, it is the integral closure of $\mathbb{Z}$ in $K$. $\mathcal{O}_{K}$ is naturally endowed with a structure of $\mathbb{Z}$-modul... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15724 | # How do you integrate int frac{2x-4}{(x-4)(x+3)(x-6)} dx using partial fractions?
Dec 28, 2015
$\int \frac{2 x - 4}{\left(x - 4\right) \left(x + 3\right) \left(x - 6\right)} \mathrm{dx}$
$= - \frac{2}{7} \ln | x - 4 | - \frac{10}{63} \ln | x + 3 | + \frac{4}{9} \ln | x - 6 | + C$
#### Explanation:
Applying partia... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15727 | # A Primer on Private Statistics – Part I
Differentially private statistics is a very lively research area, and has seen a lot of activity in the last couple years. While the phrasing is a slight departure from previous work which focused on estimation with worst-case datasets, it turns out that the differences are of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15715 | ## Twitter proof: size of the set of subsets of a set
189
Let's prove that, if a set has size $$n$$, then that same set has exactly $$2^n$$ subsets.
Take a set of size $$n$$. For any of its subsets, we can label items with $$0$$/$$1$$ depending on whether or not the item is in the subset or not, and to any such labe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13712 | # Chapter 4 - Inverse, Exponential, and Logarithmic Functions - 4.1 Inverse Functions - 4.1 Exercises: 53
The given function has no inverse function because it is not a one-to-one function.
#### Work Step by Step
The first coordinates $1$ and $4$ are both paired with the second coordinate $-3$. This means that the g... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13713 | Questions & Answers
Question
Answers
# ABCD is a cyclic quadrilateral such that $\angle A = {\left( {4y + 20} \right)^\circ },\angle B = {\left( {3y - 5} \right)^\circ },\angle C = 4{x^\circ }$ and$\angle D = {\left( {7x + 5} \right)^\circ }$. Find the four angles.
Answer
Verified
129.9k+ views
Hint: Cyclic Quadrilat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13715 | Bonus Money <July Circuits 18>
/
## Counting, Dynamic programming, Mathematics, Special Numbers
Problem
Editorial
Analytics
In a company, there are $N$ employees. Their productivities are numbered from $1$ to $N$, each employee is assigned with an unique number. At the end of year, their boss decided to reward $M$ b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13716 | ## Laplace's Equation--Toroidal Coordinates
In Toroidal Coordinates, attempt Separation of Variables to Laplace's Equation by plugging in the trial solution
(1)
then divide the result by to obtain
(2)
The function then separates with , giving solution
(3)
Plugging back in and dividing by gives
(4)
The functi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13718 | Homework Help: Lim of this function using L'Hopitals rule multiple times
1. Sep 15, 2011
animboy
1. The problem statement, all variables and given/known data
lim as x approached 2 from above of:
(x1/2 - 21/2 + (x - 2)1/2)/(x2 - 4)1/2
2. Relevant equations
L'Hopitals rule...
3. The attempt at a solution
I tried... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13720 | # Totally ordered abelian group
Let $\Gamma$ be a totally ordered abelian group (written additively), and let $K$ be a field. A valuation of $K$ with values in $\Gamma$ is a mapping $v:K^* \to \Gamma$ such that
• $1)$ $v(xy)=v(x)+v(y)$
• $2)$ $v(x+y) \ge \min (v(x),v(y))$,
for all $x,y \in K^*$.
Show that the set $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13721 | # Prove pi^e < e^pi
• August 29th 2009, 04:01 AM
Khonics89
Prove pi^e < e^pi
Consider the function f(x)= ln(x)/x which is defined for all x>0.
Show that this functions is strictly increasing on the interval (0,e) [ This part is done just find f'(x) and state its increasing for all x between 0 and e]
strictly decreas... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13722 | # Hyperbolic cosine online calculator (cosh)
Input cosh and numbers in the above form to calculate the hyperbolic cosine as follows.
The cosh is a command to calculate the hyperbolic cosine and all numbers are separated by one space. The value that ends with d means a degree angle so 180d is about 3.141592... (pi).
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13724 | ### Home > INT3 > Chapter 11 > Lesson 11.1.1 > Problem11-12
11-12.
A plane is currently $250$ miles from its destination. If it continues on its current course, it will travel another $300$ miles and end up $75$ miles away from its destination. What adjustment does the plane need to make in its course direction to ar... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13725 | # Arranging letters with terms
This is a question I found in an old test while I was preparing for a test I have in a few days. The lecturer didn't really show us how to arrange with certain terms, so I need help with solving this.
Question 1 : How much arrangements are there for the word SOCIOLOGICAL when the letter... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13726 | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
# Find a formula for the inverse of the function.$y = \dfrac{1 - e^{-x}}{1 + e^{-x}}$
## $f^{-1}(x)=\ln \left(\frac{1+x}{1-x}\right)$
### Discussion
You must be signed in to discuss.
##### Lily A.
Johns... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13727 | # Prove that the 12-th roots of unity in C form a cyclic group
#### AutGuy98
##### New member
Hey guys,
Sorry that it's been a decent amount of time since my last posting on here. Just want to say upfront that I am extremely appreciative of all the support that you all have given me over my last three or four posts.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13714 | # How many ways can a committee of six be made from 4 students and 8 teachers if the committee contains at least three students?
How many ways can a committee of six be made from 4 students and 8 teachers if the committee contains at least three students?
The obvious answer would be to select 3 students and 3 teacher... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13717 | # Order Statistics
1. Nov 27, 2008
### kingwinner
Definition: Consider a set of random variables X1,X2,...,Xn, the "order statistics" are the same random variables arranged in increasing (actually nondecreasing) order, i.e. X(1)<X(2)<...<X(n)
After reading a few more paragraphs, I immediately ran into deep confusio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13719 | How do I use DeMoivre's theorem to find (1-i)^10?
Nov 4, 2015
$- 32 i$
Explanation:
First write this complex number in polar form and then apply De Moivre :
${\left(1 - i\right)}^{10} = {\left(\sqrt{2} \angle - \frac{\pi}{4}\right)}^{10} = {\left[\sqrt{2} \left(\cos \left(- \frac{\pi}{4}\right) + i \sin \left(- \f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13723 | Sunday
October 23, 2016
I am in a very tight situation. I am a grade 4 social studies teacher. In my classroom, I have students of mixed ability. Some students are above grade level, some on grade level and some below grade level. The bulk of students is below grade level. What activities or ...
Wednesday, February 11... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23920 | ## proton emission symbol
0000001451 00000 n Ex: 30 P --> 30 Si + 0 e 15 14 +1. Proton Symbol. [1] Research in the field flourished after this breakthrough, and to date more than 25 isotopes have been found to exhibit proton emission. Protons and neutrons, each with masses of approximately one atomic mass unit, are co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23922 | ### Home > A2C > Chapter 7 > Lesson 7.1.3 > Problem7-38
7-38.
Subtract 1 from both sides.
$-\frac{\textit{b}}{\textit{x}}=\textit{a}-1$
Now multiply both sides by x and then divide both sides by (a − 1).
$\textit{x}=\frac{\textit{b}}{1-\textit{a}}$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23923 | # How do you multiply the matrices ((2, 3), (1, -3)) with ((-1, 0, 2), (0, 2, 3))?
Mar 24, 2016
$\left(\begin{matrix}- 2 & 6 & 13 \\ - 1 & - 6 & - 7\end{matrix}\right)$
#### Explanation:
Remember when multiplying matrices each entry in the product matrix are form by the corresponding
$\textcolor{w h i t e}{\text{XX... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23924 | diophantus
Hello, this is beta version of diophantus. If you want to report about a mistake, please, write to hello@diophantus.org
Penalization approach for mixed hyperbolic systems with constant coefficients satisfying a Uniform Lopatinski Condition
04 Apr 2007 math.AP arxiv.org/abs/0704.0497
Abstract. In this pape... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23926 | The Sharpe ratio is calculated by dividing the mean excess return of the index by its volatility, annualized over the horizon under consideration. In some years, the risk-free rate used to compute excess returns can be negative. The higher the Sharpe ratio, the higher the excess returns for a unit of risk.
SR_{T} = \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23928 | Can we characterize endofunctors which admit a monad structure? - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-22T18:58:07Z http://mathoverflow.net/feeds/question/118845 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/118845/can-we-characterize-endofunctors-wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23929 | # Solution of equation of binomial random variables
Is it possible to find the probability distribution of the random variable $X$ that solves the following equation? $$X = Bin(X, p) + Bin(X, 1-p),$$ where $Bin(X,p)$ is a random variable distributed according to a binomial distribution with parameters $X$ and $p$, $p ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23930 | # The Stacks Project
## Tag 02O5
Proposition 29.19.1. Let $S$ be a locally Noetherian scheme. Let $f : X \to S$ be a proper morphism. Let $\mathcal{F}$ be a coherent $\mathcal{O}_X$-module. Then $R^if_*\mathcal{F}$ is a coherent $\mathcal{O}_S$-module for all $i \geq 0$.
Proof. Since the problem is local on $S$ we m... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23931 | # Engineering Mathematics
Section 10b Representation of complex numbers pages 525-531 Video
Section 10b notes
Section 10c Multiplication and division in polar form pages 532-537 Video
Section 10c notes
Section 10D Powers and Roots of Complex numbers pages 538-543
Notes on Section 10D Powers and Roots of Complex ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23933 | # Hamilton's Principle
Hamilton's principle states that a dynamic system always follows a path such that its action integral is stationary (that is, maximum or minimum).
Why should the action integral be stationary? On what basis did Hamilton state this principle?
-
It should be noted that this is "Hamilton's princi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23934 | ## Thinking Mathematically (6th Edition)
$4\cdot10^6+3\cdot10^2=4\cdot1000000+3\cdot100=4000300$, thus it doesn't make sense because need zeros as well. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23935 | 💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!
WZ
# Show that $\displaystyle \int_0^\infty e^{-x^2}\ dx = \displaystyle \int_0^1 \sqrt{-\ln y}\ dy$ by interpreting the integrals as areas.
## $\int_{0}^{\infty} e^{-x^{2}} d x=\int_{0}^{1} \sqrt{-\ln y}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23921 | # Economies of scale v.s. technological change
In Greene's Econometric Analysis, 7th edition, page 355, it is written that:
A long-standing problem in the analysis of production functions has been the inability to separate economies of scale and technological change.
I know what the boldfaced terms refer to but it's... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23927 | Home > CCG > Chapter Ch7 > Lesson 7.3.2 > Problem7-131
7-131.
Tomika remembers that the diagonals of a rhombus are perpendicular to each other.
1. Graph $ABCD$ if $A(1,4)$, $B(6,6)$, $C(4,1)$, and $D(−1,−1)$. Is $ABCD$ a rhombus? Show how you know.
Compare the lengths of all four sides.
2. Find the equations of th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23925 | • February 20th 2013, 10:21 PM
forum
Hi,
Can anyone please help me solve the below linear programming equation using Simple Method:
Maximize Z= 3x1 + 2X2
Subject to the constraints:
X1+ X2 ≤ 4
X1 - X2 ≤ 2
X1, X2 ≥ 0
• February 20th 2013, 11:03 PM
jakncoke
max occurs at $x_1 = 3$ $x_2 = 1$ z = 11 is max value. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_23932 | # Venn diagram and sets
I am stuck with this question,
In a group of $50$ theatrical performers, we have $23$ singers, $20$ actors and $25$ dancers. There are some managers who cannot perform on stage. $11$ people can sing and act. $8$ people can dance and act. $8$ people can sing and dance. $6$ people can write poet... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13968 | # Midpoint of segment
Point A has coordinates [-16; 23] and the midpoint of the segment AB is the point [2; 12]. What are the coordinates of point B?
Correct result:
x = 20
y = 1
#### Solution:
$M = \dfrac{ A+ B}{2} \ \\ 2 M = A+B \ \\ B = 2M - A \ \\ \ \\ x = 2\cdot 2-(-16) = 20$
$y = 2\cdot 12-23 = 1$
Our exa... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13969 | My Math Forum Total area of circle using sequences and or series
Calculus Calculus Math Forum
November 2nd, 2013, 12:56 PM #1 Newbie Joined: Nov 2013 Posts: 1 Thanks: 0 Total area of circle using sequences and or series How do I find the total area of total area of the red circles C_n,n=1,2,3? I am very confused ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13971 | # Displaying the repeating decimal expansion of a rational number [duplicate]
How do I write a decimal expansion of a rational number $$a/b$$ with only periodic part, e.g., given $$1/7=0.14285714285714285714 \ldots$$, I want just $$0.142857$$, the periodic part of $$1/7$$, to be displayed. I think I was able to do it ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13973 | (diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Other languages:
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General Conference
Skill Level 3
Year of Introduction: 1949
1. Have the Shell Honor.
This Wiki has a page with instructions and tips for earning the Shells honor.
2. Define the term "mollusca" or "mollusk.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13976 | ### Archive
Archive for the ‘Arithmetic’ Category
## On Shifted Legendre Polynomial Coefficients
So here it is: the shifted Legendre polynomial coefficients are:
with $k \leq n$ and $m = 1 \ldots n$, so that
I'd love to hear your ideas of a proof. Mine is a very particular thorny meticulous one. I may be off on t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13977 | Definitions
Nearby Words
# Fermat's theorem on sums of two squares
In number theory, Pierre de Fermat's theorem on sums of two squares states that an odd prime p is expressible as
$p = x^2 + y^2,,$
with x and y integers, if and only if
$p equiv 1 pmod\left\{4\right\}.$
The theorem is also known as Thue's Lemma, a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13979 | # Trouble w/ Lemma
1. Oct 6, 2004
### genxhis
The text I am using has proved the following thereom near the beginning of the chapter: If two vector spaces V, W are equidimensional (finite) and T is a linear transformation from V to W, then one-to-one and onto are equivalent. It has also used the result liberally in ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13982 | # Isoperimetric type inequality in $\mathbb{R}^2$
Fix $$L \in (0,\infty)$$ and consider $$\mathcal{C}_L$$ defined as follows: \begin{align*} \mathcal{C}_L := \{ \gamma:[0,1] \rightarrow \mathbb{R}^2 |~ \gamma \text{ is smooth and length(\gamma)=L }\}. \end{align*}
I am interested in the "blow-up" of $$\gamma$$, denot... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13983 | The Monster Denominator Formula, the Gross--Zagier CM Value Formula, and Their Extensions
In this talk, we first briefly review the celebrated monster denominator formula, Gross--Zagier CM value formula, and their relations with Borcherds lifts. Then we will talk about their extensions. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13970 | # Intersection of Altitudes in Hexagon
I've been trying to figure out how CEVA's Theorem can be implemented in solving this problem, but I'm coming up short and cannot make any progress with this problem. The problem states;
A convex hexagon ABCDEF satisfies |AB| = |BC|; |CD| = |DE|; |EF| = |FA|. Prove that the lines... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13972 | ## anonymous one year ago Calculate the mass of CO2 emitted into the atmosphere upon accelerating the SUV from 0.0 mph to 64.0 mph . Assume that the required energy comes from the combustion of octane with 30% efficiency. (Hint: Use KE=1/2mv2 to calculate the kinetic energy required for the acceleration.) A large sport... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13974 | 0
2013
Impact Factor
# Nguyen Tien Zung
UMR5219, Universite Toulouse 3, France
Institut de Mathematiques de Toulouse, Universite Toulouse III
## Publications:
Zung N., Minh T. Commuting Foliations 2013, vol. 18, no. 6, pp. 608-622 Abstract The aim of this paper is to extend the notion of commutativity of vector f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13975 | # Finding correct symmetry axis
before I ask for anything I must admit I'm working hard to understand this beautiful subject. Thanks in advance. $$f(x)= 2(x)^2+8x+5$$ Acoording to the graph of this function, there is a x-axis symmetry. The problem is I can not prove it algebraically. Thanks again.
-
Do this $$f(x) =... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13980 | # Find all values of c such that f is continuous
Edmund Conti 2021-12-07 Answered
Find all values of c such that f is continuous on
You can still ask an expert for help
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$L^p$ estimates w... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13978 | • # germany vertical cylindrical tank chemical volume
• Xicheng Science & Technology Building High-tech Development Zone, Zhengzhou, China
• 0086-371-86011881
• [email protected]
• >Online Chating
### Tank Volume Calculator
Total volume of a cylinder shaped tank is the area, A, of the circular end times the height, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13024 | # Finding a nonzero polynomial involving the floor function
Find a nonzero polynomial $P(x,y)$ where the coefficients are integers such that $P(\lfloor a \rfloor, \lfloor 2a \rfloor) = 0$ $\forall a \in$ $\mathbb{R}$
• Hint: $\lfloor 2a\rfloor$ is an integer larger or equal to $2a-2$ and smaller or equal to $2a+2$. S... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13026 | # Calculate the winding number of a triangle
My question is about calculating the winding number of a triangle, i.e. $$Ind_\gamma(z) = \frac{1}{2i\pi} \int_\gamma\frac{1}{w-z}dw,$$ where $\gamma$ is the path given by the border of a triangle $\Delta \subset \mathbb C$.
What I have done so far is calculating the value... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13027 | # Generating random variables
• Jan 30th 2010, 09:48 PM
brogers
Generating random variables
If $f(x)=ax^{-a-1}$ where a is positive, how do I generate random variables from a uniform random number generator? Any help would be greatly appreciated.
• Jan 31st 2010, 12:41 AM
CaptainBlack
Quote:
Originally Posted by brog... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13028 | # The ring of trigonometric polynomials with complex scalars
This post is a continuation of a previous post about the ring of trigonometric polynomials over the real field. Now we have jumped into the complex field, and the extension is not a trivial matter. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13029 | # Recorded Line Via Phone 641-715-3813 pin 883267# Press # for the most recent call, or enter a previous reference # (Call by Skype phone via Skype credits or Skype phone using same number & pin above.)
## Sunday, November 16, 2014
### Full body teleportation system
https://www.google.com/patents/US20060071122...
P... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13031 | # Computer Support
Support for Windows Products
Home > Definition Of > Definition Of Standard Error In Physics
How To Fix Definition Of Standard Error In Physics
If you have Definition Of Standard Error In Physics then we strongly recommend that you download and run this (Definition Of Standard Error In Physics) re... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13033 | ## Schinzel , A and Skalba , M - Integral points on circles
hrj:5116 - Hardy-Ramanujan Journal, January 23, 2019
Integral points on circles
Authors: Schinzel , A and Skalba , M
Sixty years ago the first named author gave an example \cite{sch} of a circle passing through an arbitrary number of integral points. Now we... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13035 | # What is the equation of the line with slope m= 3/4 that passes through (-11,5) ?
Dec 21, 2015
Use substitution into the generic equation y = mx + c to establish the equation
#### Explanation:
$- 11 = \frac{3}{4} \cdot 5 + c$
$c = - 11 - \frac{15}{4}$
$c = \frac{- 44 - 15}{4}$
$c = - \frac{59}{4}$
$y = \frac{3}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13036 | ## College Algebra (6th Edition)
Let $0 = (a_{1}x + b_{1})^2$ represent all quadratic equations that are also perfect squares. If we were to expand this, we'd get the following: $$0 = a^2_{1}x^2 + 2a_{1}b_{1}x + b^2_{1}$$ What can we learn from this? We see that, for a quadratic equation to be a perfect square, the fo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13037 | ## mikaa_toxica13 Group Title tell whether each percent change is an increase or decrease. Then find the percent change. Round to the nearest percent. original amount: 45 new amount: 60 10 months ago 10 months ago
1. AravindG Group Title
2. mikaa_toxica13 Group Title
None. My teacher hasn't taught me this yet. I kno... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13038 | ## anonymous 4 years ago Fool's problem of the day, $$1.$$Find the locus of the intersection of the perpendicular tangents drawn to the curve $$4y^3=27x^2$$. Good luck!
1. anonymous
This is somewhat difficult, took me some time to realize the solution.
2. anonymous
Where does one start to find the answer to this qu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13030 | # Process analysis example essays
Suppose that you start with $10, and you wager$1 on an unending, fair, coin toss indefinitely, or until you lose all of your money. If X n {\displaystyle X_{n}} represents the number of dollars you have after n tosses, with X 0 = 10 {\displaystyle X_{0}=10} , then the sequence { X n :... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13032 | # Fourier transform difficulty 2D
I have solved easily the (1) but I am really struggling with (2) and (3).
Do i need to use change of order of integration, because of so many parameters... i am confused a little bit.
My work:
$$\hat{Xf}(\xi,\theta)=\int\limits_{-\infty}^{\infty}\left(\int\limits_{-\infty}^{\infty}... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13034 | # What is an axial and polar vector?
Can someone please explain this type of vector to me, I can not understand it.
• Axial vectors have an inner orientation, i.e. the direction of the vector indicates the positive orientation. For example, a unit linear force vector: the positive direction of the force does not depe... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13025 | # I have the following system of equations where the m's are known but a , b , c ,
I have the following system of equations where the m's are known but $a,b,c,x,y,z$ are unknown. How does one go about solving this system? All the usual linear algebra tricks I know don't apply and I don't want to do it through tedious ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13039 | ## Prealgebra (7th Edition)
$30%$ means that we have to multiply the number by $\frac{30}{100}$. $120\times\frac{30}{100}=120\times0.3=36$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20320 | # How do you express (3x^2 - 4x - 2) / [(x-1)(x-2)] in partial fractions?
Aug 7, 2016
$\frac{3 {x}^{2} - 4 x - 2}{\left(x - 1\right) \left(x - 2\right)} = 3 + \frac{3}{x - 1} + \frac{2}{x - 2}$
#### Explanation:
$\frac{3 {x}^{2} - 4 x - 2}{\left(x - 1\right) \left(x - 2\right)}$
$= \frac{3 {x}^{2} - 4 x - 2}{{x}^... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20322 | Penrose-Notation
Die penrosesche graphische Notation – auch als penrosesche diagrammatische Notation, Tensor-Diagramm-Notation oder auch einfach Penrose-Notation bezeichnet – ist eine von Roger Penrose vorgeschlagene Notation in der Physik und Mathematik, um eine (meist handschriftliche) visuelle Darstellung multilinea... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20324 | ## Error bounds for arbitrary approximations of “nearly reversible” Markov chains and a communications example.(English)Zbl 0914.60040
Author’s abstract: A condition is provided to conclude error bounds when using an arbitrary steady state approximation of a “nearly reversible” Markov chain. The error bound is of the ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20326 | # Math Help - Image of line in complex plane
1. ## Image of line in complex plane
The question:
Find the image of the line x - y = 2 in the complex plane under the mapping w = iz - 1.
My solution:
$z = \frac{w + 1}{i}$
Let z = x + iy, w = a + ib
$\frac{(a + 1) + ib}{i} . \frac{-i}{-i}$
b - i(a + 1)
Equating re... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20327 | GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Oct 2018, 22:47
### 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... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20328 | # Important Concepts and Formulas of Coordinate Geometry
A coordinate system is the reference system used to show the coordinates in a meaningful manner. It has a practical application in the field of GPS, printing, computer-aided manufacturing, and a lot more.
Also, Coordinate geometry is a topic asked widely in var... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20329 | # How do you find the exact value of cos^-1 (sqrt2/2)?
Mar 14, 2017
See below
#### Explanation:
Let $\theta = {\cos}^{-} 1 \left(\frac{\sqrt{2}}{2}\right)$
$\cos \theta = \frac{\sqrt{2}}{2}$
So in an imaginary right-angled triangle, the length of the $\text{hyp}$ is $2$ and the length of the $\text{adj}$ is $\sqr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20330 | ## MATH1111 Quizzes
Contour Diagrams Quiz
Web resources available Questions
This quiz tests the work covered in the lecture on contour diagrams and corresponds to Section 12.3 of the textbook Calculus: Single and Multivariable (Hughes-Hallett, Gleason, McCallum et al.).
There is an animation at http://www.math.ou.ed... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20331 | ## Functions Modeling Change: A Preparation for Calculus, 5th Edition
According to the statement to $y=2$ corresponds to $x=0$, thus the coordinates of the point are $(0,2)$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20334 | Percent: bill at a restaurant, including a 15% tip, is...
Takitia
New member
I don't know which formula to use for this problem
If the total bill at a restaurant, including a 15% tip, is \$65.32, what was the cost
of the meal alone?
galactus
Super Moderator
Staff member
$$\displaystyle \L\\x+0.15x=65.32$$
Solve f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20335 | An approximation property of quadratic irrationals
Bulletin de la Société Mathématique de France, Volume 130 (2002) no. 1, p. 35-48
Let $\alpha >1$ be irrational. Several authors studied the numbers ${\ell }^{m}\left(\alpha \right)=inf\left\{\phantom{\rule{0.166667em}{0ex}}|y|:y\in {\Lambda }_{m},\phantom{\rule{0.1666... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20321 | # Of terms variance value in expected
Home » Pietermaritzburg » Variance in terms of expected value
## Expected Value and Standard Error Boundless Statistics
Mean (expected value) of a discrete random variable (video. Aug 14, 2019В В· The importance of variance analysis lies in how businesses can use it to determine... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20323 | # Samacheer Kalvi 12th Chemistry Solutions Chapter 5 Coordination Chemistry
Tamilnadu State Board Solutions for Class 12th Chemistry Solutions Chapter 5 Coordination Chemistry Questions and Answers will help you to improve the complete subject knowledge. Every student must look at the single concept included in Samach... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20333 | Mathematics
# Find x in the following figure $(AB || CD)$ :
##### SOLUTION
Since, $AB \parallel CD$, therefore,
$x+3x=180^{o}$ $[Interior\ angles]$
$4x=180^{o}$
$x=45^{o}$
You're just one step away
Subjective Medium Published on 09th 09, 2020
Questions 120418
Subjects 10
Chapters 88
Enrolled Students 86
#### Realt... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20325 | Calculus (3rd Edition)
$f$ is squeezed by $u$ and $l$ at $x=3$. But $f$ is not squeezed by $u$ and $l$ at $x=2$.
We have $l(x) \leq f(x)\leq u(x)$ and since $\lim_{x\to 3}l(x)= \lim_{x\to 3}u(x)=1.5$, then by the squeeze theorem, we have $$\lim_{x\to 3}f(x)=1.5$$ and hence $f$ is squeezed by $u$ and $l$ at $x=3$. But ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_20332 | # Why are continued fractions for irrational numbers always convergent?
Like in the title:
Why are continued fractions for irrational numbers (i.e. infinite fractions) always convergent?
-
How about this one: $\frac{0}{0+\frac{0}{0+\frac{0}{0+...}}}$ :) – Ali Jun 1 '13 at 16:24 |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21728 | Timezone:
#### Oral: Probabilistic Methods 4 Thu 22 Jul 05:00 p.m.
Honghua Zhang, Brendan Juba, Guy Van den Broeck
Generating functions, which are widely used in combinatorics and probability theory, encode function values into the coefficients of a polynomial. In this paper, we explore their use as a tractable prob... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21730 | # Endomorphism ring
In abstract algebra, the endomorphism ring of an abelian group X, denoted by End(X), is the set of all homomorphisms of X into itself.[1][2] The addition operation is defined by pointwise addition of functions and the multiplication operation is defined by function composition.
The type of functio... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21732 | # 10. Transformation Formulae¶
## 10.1. Transformation of products into sums or differences¶
We know that $\sin(A + B) = \sin A\cos B + \cos A\sin B$
and $\sin(A - B) = \sin A\cos B - \cos A\sin B$
Adding these, we get $2\sin A\cos B = \sin(A + B) + \sin(A - B)$
Subtracting, we get $2\cos A\sin B = \sin(A + B) - \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21733 | # Homework Help: Stopping a rotating disk with an axe
1. Mar 16, 2005
### jaymode
My problem:
A grindstone in the shape of a solid disk with diameter=0.480m and a mass of m=50.0kg is rotating at omega = 820rev/min. You press an ax against the rim with a normal force of F=190N View Figure , and the grindstone comes t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21734 | ## Monday Math 108
The Laplace Transform
Part 9: Derivatives and Integrals
Now, let’s examine the Laplace transform’s action on derivatives and integrals. Let us have function f(t) with Laplace transform:
.
What, then, is the Laplace transform of f’(t)?
Using the definition of the Laplace transform,
.
Now, we perfor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21735 | # How to solve for solutions to the diophantine 5b^2*c^2 = 4a^2(b^2+c^2)
by SeventhSigma
Tags: 4a2b2, 5b2c2, diophantine, solutions, solve
P: 12
Quote by micromass Finding all the solutions of these is not very hard. This contains some nice information: http://mathcircle.berkeley.edu/BMC4/...tic/node4.html I did case... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21736 | # Ex.11.3 Q1 Perimeter and Area - NCERT Maths Class 7
Go back to 'Ex.11.3'
## Question
Find the circumference of the circles with the following radius:
\begin{align}\left( {{\rm{Take}}\;\pi = \frac{{22}}{7}} \right)\end{align}
(a) $$14 \,\rm cm$$
(b) $$28 \,\rm mm$$
(c) $$21 \,\rm cm$$
Video Solution
Perimeter... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21739 | # Find the Multiplicative Inverse (Reciprocal) of Each of the Following Rational Numbers: 9 - Mathematics
Sum
Find the multiplicative inverse (reciprocal) of each of the following rational numbers:
9
#### Solution
$\text{Multiplicative inverse (reciprocal) of}\ 9 = \frac{1}{9}$
Is there an error in this question ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21740 | # The purpose of normalizing to
Home >> The purpose of normalizing to
Shanghai Katalor has 20 year experience of steel products manufacturing and exporting. Our cooperated customers come from countries and areas like South America, North America, Europe, Africa, Southeast Asia and the Middle East. We sincerely servic... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21741 | # Morse Index
1. Sep 18, 2007
### daishin
I started reading a Morse theory by Milnor and am not understanding something.
I am reading the proof of Theorem on page 25:
Let M be a compact manifold and f be a differentiable function on M with only two critical points, both of which are non-degenerate, then M is homeomo... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21742 | # 14.6 Buffers (Page 3/9)
Page 3 / 9
$\left(1.0\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-4}\right)\phantom{\rule{0.2em}{0ex}}-\phantom{\rule{0.2em}{0ex}}\left(1.8\phantom{\rule{0.2em}{0ex}}×\phantom{\rule{0.2em}{0ex}}{10}^{-6}\right)\phantom{\rule{0.2em}{0ex}}=9.8\phantom{\rule{0.2em}{0ex}}×\phan... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21729 | # Finding CDF of $Z$ with PDF of $X$
Suppose the random variable $$X$$ has PDF
$$f_X(x) = 2x^2~, \quad\text{when}~ 0 < x < 1~,$$ and zero otherwise.
Suppose $$Z = 4X+9$$, what is the CDF of $$Z$$? Then find the PDF of $$Z$$.
I began by finding $$X=(Z-9)/4$$, and then finding the integral of $$f_X(x)$$. I'm not sure o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21731 | ## An inequation related integral
Help me to solve this following problem. Thanks a lot.
"Let f(x) is a continuous function $f:[0,1]\to [0,+\infty)$. Put $g(x)=1+2\int_0^x f(x)$. Assume that $g(x)\ge (f(x))^2 \forall x\in[0,1]$. Prove that $g(x)\le (1+x)^2$" |
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