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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14748 | # square of sum
The well-known for squaring a sum of two numbers or is
$\displaystyle(a\!+\!b)^{2}\;=\;a^{2}\!+\!2ab\!+\!b^{2}.$ (1)
It may be derived by multiplying the binomial $a\!+\!b$ by itself.
Similarly one can get the squaring for a sum of three summands:
$\displaystyle(a\!+\!b\!+\!c)^{2}\;=\;a^{2}\!+\!b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14749 | Show that $\phi(g)$ is an even permutation
Let $$G$$ be a group of order $$n$$ then $$G$$ is isomorphic to a subgroup of $$S_n$$,Denote it by $$\phi$$, $$\phi:G\to S_n$$ be an monomorphism of Cayleys Theorem
Let $$g\in G$$ has order $$k$$.Show that $$\phi(g)$$ is a product of disjoint cycles of length $$k$$.Moreovver... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14750 | +0
# Asap plz
0
109
1
+4
https://snipboard.io/C9A45r.jpg
May 6, 2021
$\sum_{n=1}^{33} \frac{1}{(3n-2)(3n+1)} = \frac{33}{100}$ because it has an asymptote that gets really close to $33.\overline{3}.$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14751 | # Todd class
A characteristic class of a complex bundle , equal to
where is the multiplicative sequence corresponding to the power series and are the Chern classes (cf. Chern class).
Introduced by J. Todd [1].
#### References
[1] J. Todd, "The arithmetical theory of algebraic loci" Proc. London Math. Soc. , 43 (1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14737 | # What does it mean geometrically for a variety to be locally a complete intersection?
We say that an affine variety $X \subset \mathbb{A}^n$ of dimension $n-k$ is a complete intersection if the ideal of $X$, call it $I(X)$ is generated by $k$ polynomials, $f_1,\dots,f_k$.
We say that an affine variety is locally a c... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14736 | 1. ## Ball and Urn Model: Please spot the flaws!
I have 4 urns and 4 balls.
With each turn, I randomly place 1 ball in 1 urn.
I take a total of 4 turns.
What is the probability of exactly 0 empty urns?
P(0 empty urns) = P(all 4 balls are placed in 1 urn each) =
P(1st ball placed anywhere).P(2nd ball placed anywhere o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_14747 | # Fixpoint
A fixpoint $p$ of a function $f$ is a value such that $f(p)=p$.
If $f$ is a holomorphic function, we define the multiplicity of the fixpoint $p$ to be the multiplicity of the zero of $f(z)-z$ at $p$.
For example $z+z^2$ has multiplicity 2 at fixpoint 0, $2z+z^2$ has multiplicity 1 at fixpoint 0. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2417 | # Form the differential equation from the relation x2 + 4y2 = 4b2 - Mathematics and Statistics
Sum
Form the differential equation from the relation x2 + 4y2 = 4b2
#### Solution
Given relation is
x2 + 4y2 = 4b2
Differentiating w.r.t. x, we get
2x + 4.2y ("d"y)/("d"x) = 0
∴ x + 4y ("d"y)/("d"x) = 0, which is the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2418 | Browse Questions
If the function $f(x) = \left\{ \begin{array}{l l} 3ax+b, & \quad if { x > 3}\\ 11, & \quad if { x=1} \\ 5ax-2b, & \quad if {x < 1} \end{array} \right.$ is continuous at x = 1 , find the values a and b.
Can you answer this question? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2419 | This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.
# Change of variables in integral
(Redirected from Integration by substitution)
## Indefinite integral
techniques of integration...
## Definite integral
Consider how we compute this integral in two ways:
$$\displaystyle\... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2420 | # How is exponentiation defined in Peano arithmetic?
How would exponentiation be defined in Peano arithmetic? Unless $n$ is fixed natural number, $x^n$ seems to be hard to define.
Edit 2: So, what would be the way to define $x^n+y^n = z^n$ using $\Sigma_1^0$ formula?
Edit: OK, I say Peano arithmetic has addition and... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2421 | # Preface
This section is presents some applications of the first order ordinary differential equations.
# Applications
We present some applications of differential equations of order one.
Example 1: A 500 liter container initially contains 10 kg of salt. A brine mixture of 100 grams of salt per liter is entering th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2422 | ## dietrich_harmon Group Title Find the excluded value of the rational expression 2x + 6 4x – 8 A. -3 B. -2 C. 0 D. 2 2 years ago 2 years ago
1. waterineyes
Did not get.. Excluded value??
2. dietrich_harmon
that 's how the problem don't know what else u asking for
3. waterineyes
I also don't know what you are ask... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2426 | # Lecture XXIII. In general there are two kinds of hypotheses: one concerns the form of the probability distribution (i.e. is the random variable normally.
## Presentation on theme: "Lecture XXIII. In general there are two kinds of hypotheses: one concerns the form of the probability distribution (i.e. is the rand... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2427 | # Limit Construction in Category Theory
Consider $A\xrightarrow{ \ f \ }B$, be a mapping in the category of sets. I would like to get a glimpse of how one argues in category theory with regards to finding the limit of the above diagram.
I understand that a limit is a left cone $C$ and two maps $C\xrightarrow{ \ c_1 \... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2428 | # Topology from fundamental system of neighbourhoods once and for all
This problem is probably closely related to a bunch of similar questions touched upon elsewhere (see for example Going from a fundamental system of neighborhoods to a topology and vice versa and others), yet I was not able to distill any satisfactor... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2429 | # Find the equation of line parallel to y-axis and drawn through the point of intersection of the lines x – 7y + 5 = 0 and 3x + y = 0.
## Solution :
On solving the equations x – 7y + 5 = 0 and 3x + y = 0 by using point of intersection formula, we get
x = $$-5\over 22$$ and y = $$15\over 22$$
So, given lines interse... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2430 | to enroll in courses, follow best educators, interact with the community and track your progress.
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## Aashish Arora is teaching live on Unacademy Plus
Aashish Arora
Quantative Aptitude Faculty | 6 Years Exp. | Cleared SSC... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2416 | # $\forall n \in \mathbb{N}, a_{n+1}=(a_n)^2+\frac{1}{4}$ prove that $\forall n \ge 1, 0 < a_n < 1$.
I am trying to prove the following...
A sequence $a_0,a_1,a_2,...$ is defined recursively as follows:
$a_0 = 0;$
$\forall n \in \mathbb{N}, a_{n+1}=(a_n)^2+\frac{1}{4}$
Prove that $\forall n \ge 1, 0 < a_n < 1$.
N... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2423 | # Differential privacy – Wikipedia
Methods of safely sharing general data
Differential privacy ( DP ) is a system for publicly sharing information about a dataset by describing the patterns of groups within the dataset while withholding information about individuals in the dataset. The idea behind differential gear pr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2424 | # roots of quadratic equation calculator
1. The example below illustrates how this formula applies to the quadratic equation $$x^2 + 5x +6$$. Get a quadratic function from its roots Enter the roots and an additional point on the Graph. Here, a, b, and c are real numbers and a can't be equal to 0. Sum & Product of Quad... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2425 | # A random sample of 15 college students were asked "How many hours per week typically do...
###### Question:
A random sample of 15 college students were asked "How many hours per week typically do you work outside the home?" Their 13 responses are shown on the right 31 13 Determine the shape of the distribution of h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2431 | # Newton's 2nd law
1. Jan 2, 2010
### hisham.i
If we make a diff. equation from Newtons's 2nd law, and solve it, we will get x(t), where x(t) is the displacement as a function of time.
what do the shape of the graph x(t) means?
Does it give the trajectory of the motion?
2. Jan 2, 2010
### elibj123
No, in one dime... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21888 | # How to calculate extremely large exponential
I would like to calculate the following nested exponential: $$\Large{e^{e^{10^{72}}}}$$
In case that might be hard to read, in Mathematica functional notation it is:
Exp[Exp[10^72]]
My efforts fail due to computational overflow. I was hoping that Mathematica would rec... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21889 | Question
# The molecular formula of a compound is C2X6. X is unknown . If the mass ratio of C to X is 4:1. Find X.
A
Helium
B
Sodium
C
Calcium
D
Hydrogen
Solution
## The correct option is D Hydrogen Let the mass of the element X be ‘y’. so the mass ratio of carbon to X = (2×12)(6×y)=41 So y = 1 This means th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21890 | # Euler Problem 23: Non-Abundant Sums
A demonstration of the abundance of the number 12 using Cuisenaire rods (Wikipedia).
Euler problem 23 asks us to solve a problem with abundant or excessive numbers.
These are numbers for which the sum of its proper divisors is greater than the number itself.
12 is an abundant n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21891 | # Stereology and Spatio-Temporal Models
PhD Dissertations
September 2020
Abstract:
Using the so-called Cavalieri estimator, the volume of a bounded 3-dimensional object can be unbiasedly estimated from area measurements on parallel section profiles. Mathematically, this corresponds to the problem of numerical integra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21892 | Chapter 9 - Self-Assessment Quiz - Page 417: Q5
Work Step by Step
$MgS$ has the highest lattice energy because both ions have a charge of magnitude 2. Both $Mg$ and $S$ have comparable radii, so the attraction between them is maximized. Thus, $MgS$ has the highest lattice energy.
After you claim an answer you’ll hav... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21895 | Find all integers a and b such that $2a + 2b = ab$ . [closed]
Find all integers $$a$$ and $$b$$ such that $$2a + 2b = ab$$.
closed as off-topic by Cameron Williams, Martin R, Eevee Trainer, John Omielan, YuiTo ChengMay 27 at 6:29
This question appears to be off-topic. The users who voted to close gave this specific ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21897 | bundles
cohomology
# Contents
## Idea
A bibundle is a (groupoid-)principal bundle which is equipped with a compatible second (groupoid-)action “from the other side”.
In particular, Lie groupoid bibundles serve to exhibit “generalized morphisms”/Morita morphisms between Lie groupoids. This is in generalization of h... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21898 | Browse Questions
# Find the equation of a line passing through the point (-1,-1,2) and perpendicular to the planes $3x+2y-3z=1 \: and \: 5x-4y+z=5$
Can you answer this question? |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21899 | A two point charges $4 q$ and $-q$ are fixed on the $x$-axis at
Question:
A two point charges $4 q$ and $-q$ are fixed on the $x$-axis at
$x=-\frac{d}{2}$ and $x=\frac{d}{2}$, respectively. If a third point charge
‘ $q$ ‘ is taken from the origin to $x=d$ along the semicircle as shown in the figure, the energy of th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21902 | Show that any positive odd integer is of the form
Question.
Show that any positive odd integer is of the form $6 q+1$, or $6 q+3$ or $6 q+5$, where $q$ is some integer.
Solution:
Let us start with taking a, where a is any positive odd integer. We apply the divisionalgorithm, with a and b = 6. Since $0 \leq \mathrm{r... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21903 | Double Angle Formulas/Hyperbolic Cosine/Corollary 1
Corollary to Double Angle Formula for Hyperbolic Cosine
$\cosh 2 x = 2 \cosh^2 x - 1$
where $\cosh$ denotes hyperbolic cosine.
Proof
$\ds \cosh 2 x$ $=$ $\ds \cosh^2 x + \sinh^2 x$ Double Angle Formula for Hyperbolic Cosine $\ds$ $=$ $\ds \cosh^2 x + \left({\cos... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21893 | Least Squares with Linear Algebra
In brief, linear regression is about finding the line of best fit to a data set. If you’re looking for the linear algebra way of doing this, you will most likely find it searching for the term least squares.
In the basic scenario, you’ve got some two-dimensional data, $$\mathtt{(x, y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21894 | # Complex Matrix in vector norm
kokolo
TL;DR Summary: For every Complex matrix proove that: (Y^*) * X = complex conjugate of {(X^*) * Y}
Here (Y^*) and (X^*) is equal to complex conjugate of (Y^T) and complex conjugate of (X^T) where T presents transponse of matrix
I think we need to use (A*B)^T= (B^T) * (A^T) and
Ca... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21900 | # Multivariable max&min
• May 16th 2010, 11:01 AM
Miss
Multivariable max&min
Find the max&min of the following function :
$f(x,y,z)=8xy-3y^2+32z+5$
subject to the constraint : $4x^2+y^2+4z^2=24$
By the Lagrang Multipliers' method :
$8y=\lambda 8x$........(1)
$8x-6y=\lambda 2y$.......(2)
$32=\lambda 8z$.......(3)
$4x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21901 | ## Trigonometry (10th Edition)
1. Lets start by substituting values into expression: $\cos90^{\circ}+\sin90^{\circ}=0+1=1$ (correct) $\cos270^{\circ}+\sin270^{\circ}=0+(-1)=-1$(false) $\cos60^{\circ}+\sin60^{\circ}\ne1$ another counter example |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21896 | ## A guy goes into a Jewel-store owned by a logician who never lies...
• 6.3k
p is "You have given $5,000 to the sales-clerk" and q is "He will give you the diamond". p → q is equivalent to ¬p ∨ q. ¬p is "You have not given$5,000 to the sales-clerk".
If ¬p is true then ¬p ∨ q is true. So if "You have not given $5,00... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2385 | # Math Help - Algebra woes
1. ## Algebra woes
Hey guys,
I'm new and find your abode in great despair..
Im calling all maths guru...
Any chance the maths gurus can help me answer these questions and show me the working out for each of them?
They are like the last 4 questions I have(the hardest ones)
1 a. P(x) is ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2387 | # Journal of Inequalities and Applications
http://www.journalofinequalitiesandapplications.com/
## List of Papers (Total 3,419)
#### Hardy’s inequalities for the twisted convolution with Laguerre functions
In this article, two types of Hardy’s inequalities for the twisted convolution with Laguerre functions are stu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2388 | # What is the sum of the series $\sum\limits _{k=1}^\infty \frac{1}{k^2}$? [duplicate]
Possible Duplicate:
Different methods to compute $\sum_{n=1}^\infty \frac{1}{n^2}$.
What is $\lim \limits_{n\to\infty} \sum\limits_{k=1}^n \frac{1}{k^2}$ as an exact value?
-
## marked as duplicate by Asaf Karagila, Aryabhata, Ha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2389 | # Math Help - Prove that 2 is a primitive root modulo p.
1. ## Prove that 2 is a primitive root modulo p.
Suppose q is a prime and p=4q+1 is a prime. Prove that 2 is a primitive root modulo p.
2. Originally Posted by NikoBellic
Suppose q is a prime and p=4q+1 is a prime. Prove that 2 is a primitive root modulo p.
Fi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2390 | # What's the name of the symmetry $L \to L + \frac{d \Lambda}{dt}$?
In the Lagrangian formulation of Classical Mechanics, we have the freedom to add a total time derivative of an arbitrary function $$\Lambda$$ to the Lagrangian:
$$L \to L + \frac{d \Lambda}{dt} .$$
Does this symmetry of the Lagrangian have any parti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2392 | Go!
1
2
3
4
5
6
7
8
9
0
x
y
(◻)
◻/◻
2
e
π
ln
log
lim
d/dx
d/dx
>
<
>=
<=
sin
cos
tan
cot
sec
csc
asin
acos
atan
acot
asec
acsc
sinh
cosh
tanh
coth
sech
csch
asinh
acosh
atanh
acoth
asech
acsch
# Solve ((3x+5+x^2)/(2x-1))^4(-2x-13+2x^2)/(-4x+1+4x^2)*5
### Videos
$\frac{10\left(\left(\frac{3}{2}+x\right)^2+\frac{1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2394 | fns), so linearity follows. (A differentiation is map $D:F\to F$ satisfying the above rules for sums and products.) So I take the liberty to mis-read you question as follows: By "only algebraic" I mean that you are not allowed to use inequalities. Then the semi-norm induced by the semi- have a complex multiplication)? ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2395 | ## Rational and Irrational Number Set proof.
Hello, here is my problem:
how can i prove that if $$a\in\mathbf{Q}$$ and $$t\in\mathbf{I}$$, then $$a+t\in\mathbf{I}$$ and $$at\in\mathbf{I}$$?
My original thought was to show that neither a+t or at can be belong to N, Z, or Q, thus they must belong to I. However i'm not... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2396 | # Tag Info
5
The paper Sugawara, H., Hagura, H., & Sanami, T. (2003). Destruction of Nuclear Bombs Using Ultra-High Energy Neutrino Beam. arXiv preprint hep-ph/0305062 analyses this, in my opinion overly optimistically. The basic idea is to generate muons that are allowed to decay into tight neutrino beams (plus, of ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2398 | # Weights in $\mathfrak{sl}(3,\mathbb{C})$
Let $\mathfrak{h} \subset \mathfrak{sl}(3,\mathbb{C})$ be the set of diagonal matrices. Then for $A = \begin{pmatrix} a_1 & 0 & 0 \\ 0 & a_2 & 0 \\ 0 & 0 & a_3 \end{pmatrix} \in \mathfrak{h}$ and $1 \leq i \leq 3$, define $L_i A = a_i$. One can see that the $L_i - L_j$ for $i... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2399 | # Multi-homogeneous Bézout theorem
Jump to navigation Jump to search
In algebra and algebraic geometry, the multi-homogeneous Bézout theorem is a generalization to multi-homogeneous polynomials of Bézout's theorem, which counts the number of isolated common zeros of a set of homogeneous polynomials. This generalizati... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2384 | # Tag Info
4
No, your process does not make any sense. Even if the mean of $X_k$ is $1$, this does not mean that $$\frac {X_1 + \dots + X_N}{N} = 1$$ for some $N$. This is a huge misunderstanding; I'll try to briefly explain why is it so. Random variables are not numbers When talking about a random variable, you're t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2386 | # Proof that least squares estimators are unbiased under gauss-markov assumptions
I saw two different derivations of $$E[\hat{\beta}] = \beta$$, and they don't appear to be equivalent to me.
# Method 2 (from https://www.statlect.com/fundamentals-of-statistics/Gauss-Markov-theorem#hid2, under "OLS is linear and unbias... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2393 | Copied to
clipboard
## G = C3⋊S3×He3order 486 = 2·35
### Direct product of C3⋊S3 and He3
Aliases: C3⋊S3×He3, C349C6, C3⋊(S3×He3), (C3×He3)⋊21S3, C3314(C3×S3), (C32×He3)⋊5C2, C324(C2×He3), C33.54(C3×C6), C32.47(S3×C32), C324(C3×C3⋊S3), (C32×C3⋊S3)⋊3C3, C3.9(C32×C3⋊S3), (C3×C3⋊S3).7C32, SmallGroup(486,231)
Series: De... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2397 | Priv.-Doz. Mag. Dr.
# Peter Kritzer
Multivariate Algorithms and Quasi-Monte Carlo Methods
#### Contact
Telephone: +43 (732) 2468 - 5239
https://orcid.org/0000-0002-7919-7672
#### Biographical sketch
• 2003: Master degree in Mathematics, University of Salzburg, Austria.
• 2005: Doctoral degree in Mathematics, Sub... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_2391 | # Prove log(n)/n^sigma is a null sequence.
Mod note: Moved from the homework section.
1. Homework Statement
If σ > 0 and base b > 1 then prove that ##log n/n^σ## is a null sequence. This is not really a homework since i am self studying Konrad Knopp book about infinite series and i wanted to see different ideas and p... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9169 | # Circular motion at end of string in horizontal plane
1. Jul 19, 2010
### fouquoit
Suppose a mass m suspended from a string of length l is undergoing uniform circular motion in a horizontal plane, with angular velocity ω. Calculate the centripetal acceleration a.
If T is the tension in the string, and θ the angle ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9170 | # Defining division by zero
I have looked through some of the previous questions posted on this topic, and I think mine is different.
Is there a flaw in defining division by zero? For example, define
$\frac{a}{0} = \infty_a$
it would seem like things work now, for example,
$\frac{a/0}{b/0}=\frac{\infty_a}{\infty_b... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9171 | Banked Curves Video Lessons
Concept
# Problem: A bobsled turn banked at 78° is taken at 24.65 m/s.a. What is the radius of the bobsled turn in n, assuming it is ideally banked and there is no friction between the ice and the bobsled? b. Calculate the centripetal acceleration in m/s2.c. Calculate the centripetal accel... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9172 | Posted Oct 13, 2019; last updated Feb 13, 2020
I've recently been systematically thinking about how to explain school math concepts in more thoughtful and interesting ways, while creating my Daily Challenge lessons. One night in September 2019, while brainstorming different ways to think about the quadratic formula, I... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9174 | # Hotmath
Title:
Hotmath
Author:
Hotmath
Chapter: Sequences and Series Section: Binomial Probability and Binomial Distribution
Problem: 1
You guess the answers to 6 questions on a multiple–choice test with 5 possible responses to each question. Describe a trial and a success for the above situation. Find the number ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9175 | # 6.4. Source spectrum (spectra.h)¶
DM annihilation/source spectra calculations are implemented in the library spectra.h.
## 6.4.1. Definitions and formulae¶
The elementary $$\gamma$$-ray (or neutrino) spectrum seen from a local observer can be generically written for:
• Annihilating DM (gPP_DM_IS_ANNIHIL_OR_DECAY ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9176 | ## Journal of the Mathematical Society of Japan
### Galois points on quartic surfaces
Hisao YOSHIHARA
#### Abstract
Let $S$ be a smooth hypersurface in the projective three space and consider a projection of $S$ from $P\in S$ to a plane $H$. This projection induces an extension of fields $k(S)/k(H)$. The point $P$ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9177 | # An object is displaced from position vector r1 = (2i + 3j)m to r2 = (4i + 6j)m under a force F = (3x2i + 2yj)N. Find the work down by this force.
Sujit Kumar
111 Points
4 years ago
NOTE : '[' is the integration symbol
W.D = 2[4 3xdx + 3[6 2y dy
= x2|+ y2 3|= 64 – 8 + 36 – 9 = 56 + 27 = 83J
Khimraj
3007 Points
4 yea... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9179 | Which sequences of holes are admissible for periodic homogenization with Neumann boundary condition?
ESAIM: Control, Optimisation and Calculus of Variations, Tome 8 (2002) , pp. 555-585.
In this paper we give a general presentation of the homogenization of Neumann type problems in periodically perforated domains, incl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9182 | # American Institute of Mathematical Sciences
November 2019, 39(11): 6441-6465. doi: 10.3934/dcds.2019279
## SRB measures for some diffeomorphisms with dominated splittings as zero noise limits
School of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing 210044, China
Re... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9183 | # Units issue when normalizing momentum space wave function
1. Aug 4, 2008
### bdforbes
1. The problem statement, all variables and given/known data
Check that a given momentum space wave function is normalized. I've done the integral, but the result is not dimensionless. Here is the wave function:
$$\overline{\phi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9168 | Q
Answer please! A gas is compressed from a volume of 2 m3 to a volume of 1 m3 at a constant pressure of 100 N/m2. Then it is heated at constant volume by supplying 150 J. of energy. As a result, the internal energy of the gas :
A gas is compressed from a volume of 2 m3 to a volume of 1 m3 at a constant pressure of 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9173 | # Colorings and embeddings of graphs
My previous post was about the mathematician John Conway, who died recently from COVID-19. This post is a tribute to my Georgia Tech School of Mathematics colleague Robin Thomas, who passed away on March 26th at the age of 57 following a long struggle with ALS. Robin was a good fri... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9178 | # Recognizing Summation Indices in Mathematica
Consider some complicated expression like the following: $$Q[a,b]Q[a,c]M[a,c]M[a,b]$$ Where the lower case letters are matrix indices. I am looking for a way to make mathematica recognize all the existing indices automatically and just turn this expression into the sum: $... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9180 | # A basic question on local cohomology
I had posted this question on stackexchange but did not get any response, hence putting it up on mathoverflow.
Let $X$ be a smooth, projective variety, $i:X \hookrightarrow \mathbb{P}^n$ a closed immersion for some $n>0$, $U \subset X$ an open subset and $Z \subset X$ a local co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_9181 | # 5. (25 points For credit; show every step in the derivations. (a) Starting with the Fundamental...
###### Question:
5. (25 points For credit; show every step in the derivations. (a) Starting with the Fundamental Equation for U determine the associated partial derivatives for T and P. Next, determine the associated ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13408 | One Proportion Z Test Example
One Proportion Z Test TutorVista. After answering How to analyze observed vs expected when expected is just a proportion? by suggesting that the OP uses a one tail Z-test for their proportion data, I, One Proportion Test SPSS Help, One sample Z and t test, One sample proportion test is a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13410 | # explanation to the move: $max_{P_X}\sum_{x\in X}[P_X(x)D_{KL}(P_{Y\mid X=x}\mid\mid Q_Y)]= max_{x\in X}D_{KL}((P_{Y\mid X=x}\mid\mid Q_Y)$
Some context to my question: This is a part from a question about memoryless channel. The channel is given by $$P_{Y\mid X}$$, and $$Q_Y$$ is an arbitrary distribution on the cha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13411 | # Math Help - Finding the Taylor polynomial and remainder
1. ## Finding the Taylor polynomial and remainder
I want to make sure I'm doing this right.
Find the third degree Taylor polynomial of $f(x) = \cos x$ centered at c $=$ $\frac {\pi}{6}$. Write the remainder in Lagrange form and find an upper bound for the rem... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13413 | Definitions
Homography
Homography is a concept in the mathematical science of geometry. It is defined as a relation between two figures, such that any given point in one figure corresponds to one and only one point in the other, and vice versa.
Computer Vision Applications
In the field of computer vision, a homogra... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13415 | Home > Standard Error > What Is Standard Error Of Estimate In Statistics
# What Is Standard Error Of Estimate In Statistics
## Contents
ISBN 0-521-81099-X ^ Kenney, J. It is rare that the true population standard deviation is known. A practical result: Decreasing the uncertainty in a mean value estimate by a factor ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13416 | ICSE Board: Suggested Books ICSE Board: Foundation Mathematics
Class 8: Reference Books Class 8: NTSE Preparation
--------------------------------------------------------------
Q.1 The sum of two numbers is 60 and their difference is 14. Find the numbers.
Let the two numbers be $x \ and \ y$
$x+y=... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13418 | Ky Fan Lecture
主講者: Yoichi Miyaoka(The University of Tokyo) 講題: On the canonical degree of curves on a surface 時間: 2012-11-22 (Thu.) 16:15 - 17:15 地點: Abstract: A conjecture of Lang predicts that a variety of general type $X$ contains a proper closed algebraic subset $Z$ such that all the rational curves and ellipti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13419 | Algebra Level 5
$\large \sqrt{1}+\sqrt{2}+\cdots+\sqrt{100}$
If the sum above can be expressed as
$a_0 + a_1 \sqrt{b_1} + a_2 \sqrt{b_2} + \cdots + a_n \sqrt{b_n}$
where $$a_0, a_1, a_2, \ldots, a_n, b_1, b_2, \ldots, b_n$$ are integers, what is the minimum value of $$n$$?
× |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13420 | # Relation between the order of prime numbers in module p
For relatively prime numbers $n$, let $ord_m(n)$ denote the order of $n$ modulo $m$, that is, the smallest number $k$ such that $m\mid(n^k-1)$. Now let $q$ and $r$ be two distinct prime numbers. Dose there exists a prime number $p$ such that $ord_p(q)<ord_p(r)$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13421 | Out stock
# Round Pi Magnet
\$1.00
PRODUCT INFORMATION
further research
CUSTOMER REVIEWS
PRODUCT INFORMATION
A very circular fridge magnet.
further research
##### PI
The number π is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent de... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13409 | ## Chemistry: A Molecular Approach (3rd Edition)
Published by Prentice Hall
# Chapter 8 - Sections 8.1-8.9 - Exercises - Problems by Topic: 48a
#### Answer
$Mg:[Ne]3s^{2}$ Therefore, there are two 2s electrons.
#### Work Step by Step
Write the electron configuration for magnesium using noble gas notation. Then de... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13414 | RUS ENG JOURNALS PEOPLE ORGANISATIONS CONFERENCES SEMINARS VIDEO LIBRARY PACKAGE AMSBIB
General information Latest issue Archive Impact factor Guidelines for authors Search papers Search references RSS Latest issue Current issues Archive issues What is RSS
J. Sib. Fed. Univ. Math. Phys.: Year: Volume: I... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13417 | # Kinematics Help
1. Apr 23, 2007
### stringa
I do not see how to calculate the velocity in the y-direction......any help is appreciated......all information is given
Problem is found here...
Thanks for the help
http://img214.imageshack.us/img214/5904/physicsxn6.png [Broken]
Last edited by a moderator: May 2, 20... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13422 | ## Algebra 1: Common Core (15th Edition)
The answer to the question is y $\lt$ $\frac{9+x}{-3}$.
To solve this inequality for y, you add x on both the sides resulting in -3y $\gt$ 9+x. Next, you divide -3 from both the sides resulting in an isolated y. BUT you have to flip the sign of the inequality to $\lt$ because y... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13423 | Monotone and FCS Logistic Regression Methods
Subsections:
The logistic regression method is another imputation method available for classification variables. In the logistic regression method, a logistic regression model is fitted for a classification variable with a set of covariates constructed from the effects, wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13412 | # Missing number in a circle? [closed]
Here in this circle there are seven segments. 6 numbers have been written in 6 segments following a particular pattern. Find the number which will replace ??? in the seventh segment and also describe the pattern that you have derived.
## closed as too broad by user9377, f'', Ran... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3168 | Canadian Mathematical Society www.cms.math.ca
location: Publications → journals
Search results
Search: MSC category 55 ( Algebraic topology )
Expand all Collapse all Results 26 - 31 of 31
26. CJM 1999 (vol 51 pp. 49)
Ndombol, Bitjong; El haouari, M.
Algèbres quasi-commutatives et carrés de Steenrod Soi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3170 | # Chapter 10 - Section 10.7 - Probability - Exercise Set - Page 1120: 69
makes sense
#### Work Step by Step
This statement makes sense because you get either a head or a tail for each toss ($p=1$) and you can not get both a head and a tail at the same time (mutually exclusive events).
After you claim an answer you’... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3171 | # On the Geometry and Algebra of the Point and Line Correspondences between $N$ Images
1 ROBOTVIS - Computer Vision and Robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
2 SAFIR - Algebraic Formal Systems for Industry and Research
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We explore the geometric... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3172 | Time Limit : sec, Memory Limit : KB
English
## Problem K Runner and Sniper
You are escaping from an enemy for some reason. The enemy is a sniper equipped with a high-tech laser gun, and you will be immediately defeated if you get shot. You are a very good runner, but just wondering how fast you have to run in order n... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3173 | We’re rewarding the question askers & reputations are being recalculated! Read more.
# Tag Info
4
In the specific problem you ask about (unlike Richard's more general answer), it turns out that you can relax the $=$ constraint into a $\leq$ without changing the optimal value, and that the resulting convex problem ca... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3174 | ## Uniqueness of entropy solutions for nonlinear degenerate parabolic problems.(English)Zbl 1052.35106
Summary: We consider the general degenerate parabolic equation: $u_t-\Delta b(u)+ \text{div}\,F(u)= f\quad\text{in }Q\in]0,t [\times \mathbb{R}^N,\;t>0.$ We prove existence of Kruzkhov entropy solutions of the associ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3175 | # Appendix A: Angular Frequency vs Angular Velocity
The angular frequency is a rather abstract concept which deserves some discussion.
$\displaystyle \omega =\frac{{2\pi }}{T}=2\pi f$
At the most basic level, from $\displaystyle \omega =2\pi f$, you should appreciate that the angular frequency ω is simply the fre... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3177 | # 6.7 Series de fourier y los sistemas lti
Page 1 / 1
(Blank Abstract)
## Introduciendo las series de fourier a los sistemas lti
Antes de ver este modulo, usted debería familiarizarse con los conceptos de Eigenfunciones de los sistemas LTI . Recuerde, para $ℋ$ sistema LTI tenemos la siguiente relación
donde $e^{(s... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3178 | Arguments for 0.9999… Being Equal to 1
Recently I tried to explain to my 11-year-old son why 0.9999… equals 1. The standard arguments for $0.9999... = 1$ (at least the ones I’ve seen) assume more math background than he has. So I tried another couple of arguments, and they seemed to convince him.
The first argument... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3179 | # Express in terms of sine and cosine
## Definition
Rewrite a trigonometric expression where the only trigonometric functions that appear are sines and cosines.
### Struggling with math?
Access detailed step by step solutions to thousands of problems, growing every day! |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3180 | Evan M.
# College Algebra
An advertiser goes to a printer and is charged $46 for 80 copies of one flyer and$60 for 220 copies of another flyer. The printer charges a fixed setup cost plus a charge for every copy of single-page flyers. Find a function that describes the cost of a printing job, if x is the number of co... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3181 | # Thread: How can I proof my conjecture?
1. ## How can I proof my conjecture?
Hello everybody,
I'm trying to proof a certain conjecture I invented myself for quite a long time now but in fact I have no idea how to do this.
The conjecture says:
For the function
$\frac{a\cdot2^{c-d}}{2^{c}-3^{b}}$
with
$a=3^0\cdot2^{a_... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_3183 | ## zarkam21 one year ago The mean of 100 numerical observations is 47.8. What is the value of the sum of all 100 numbers?
Not sure this is the right section, but you find the mean, or average, by finding the sum and dividing by however many numbers you added. So for this problem... $\frac{ n_{1}+n_{2}+...n_{100}}{ 100... |
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