text stringlengths 256 16.4k |
|---|
i can't understand how to solve this issue: using an appropriate substitution, evaluate this integral: $$ \int \frac{1+x²}{\sqrt{1+x}}\mathrm{d}x $$ can any one solve this so i can understand how to do this.
When you are facing a radical which has a linear sum in it, it works well to use that as the basis of the substi... |
Here's a visual explanation of (1)
Imagine that you have a perfectly separated set of points, with the separation occuring at zero in the picture (so a clump of $y=0$s to the left of zero and a clump of $y=1$s to the right).
The sequence of curves I plotted is
$$\frac{1}{1 + e^{-x}}, \frac{1}{1 + e^{-2x}}, \frac{1}{1 +... |
I need to convert the below for a homework question and I am not entirely sure if it's correct. The last part is that I am not sure how to use the distributive laws in this scenario. Any guidance would be appreciated:
$ (p \land q) \leftrightarrow (\lnot p \lor \lnot q)$
Step1: Eliminate all operators except for negati... |
Mainly for pedagogical reasons, I'm considering the "simple" one dimensional model:$$x=\theta+\epsilon$$where
$\epsilon$ has a known distribution $p$ that is independent of $\theta$. This distribution can be anything, just assuming some regularity conditions, compact support... something that leaves a lot of freedom fo... |
L Stoja Milovanovic
Publications13
Citations22
Influential Citations2
Publications Influence
Claim Your Author Page
Ensure your research is discoverable on Semantic Scholar. Claiming your author page allows you to personalize the information displayed and manage publications.
PURPOSE To assess the potential risk factor... |
You are used to the fact that the internal energy is minimized in equilibrium, but keep in mind that in this case your system is not isolated. Instead, you are dealing with a system in the canonical ensemble, so there is a giant temperature reservoir coupled to your system! The entire system of your spins + the bath is... |
Why does the following DFA have (to have) the state $b_4$?
Shouldn't states $b_1,b_2,b_3$ already cover "exactly two 1s"? Wouldn't state $b_4$ mean "more than two 1s", even if it doesn't trigger an accept state?
Computer Science Stack Exchange is a question and answer site for students, researchers and practitioners of... |
Your approach, for this problem at least, will work, but there are interesting things happening in the background. Simply setting the two terms equal and solving for $m$ will give you$$m=\frac{n\log n}{n-\log n}$$However, I doubt that you want to substitute this back into the two original expressions and try to find a ... |
In this final section, we collect several auxiliary results concerning the two notions of stationarity introduced in Definitions 2.7 and 2.8. First of all, we observe that it is actually enough to consider Definition 2.8 for \(q=1\).
Lemma A.1
Let \(k\in \mathbb {N}_0\), \(p,q\in [1,\infty )\). If \(\mathbf {U}\) is st... |
For a more elementary approach, avoiding induction and Mackey theory, you might try a concrete construction. Realize Aakumadula's group $G$ as a $2 \times 2$ matrix group over $\mathbb{F}_p$ (say for $p$ an odd prime) consisting of all $\begin{pmatrix} a & b \\ 0 & 1 \end{pmatrix}$. Here $a, b$ run over respectively th... |
Given $n$, the number of vertices, what is the number of labeled triangle-free graphs on $n$ vertices?
There shouldn't be any sensible exact formula, as Ira Gessel says. But there are very good asymptotics and a structural description.
An old result of Erdős, Kleitman and Rothschild is that almost all triangle-free gra... |
How Do I Compute Lift and Drag?
In fluid flow simulations, it is often important to evaluate the forces that the fluid exerts onto the body — for example, lift and drag forces on an airfoil or a car. Engineers can use these body forces to quantify the efficiency and aerodynamic performance of designs. Today, we will di... |
Questions and Answers in Geometry and Analysis
[Most Recent Entries][Calendar View][Friends]
Below are the
10 most recent journal entries recorded inQuestions and Answers in Geometry and Analysis' LiveJournal:
Tuesday, August 29th, 2006 11:45 am [pasha_m]
Is there a geometrical meaning in the following number associate... |
I am confused, as not clear except by multiplying both terms on the r.h.s, and showing that all cancel out except the two on the l.h.s., as below:
$(x)(x^{k-1}+x^{k-2}+\ldots+1) - (x^{k-1}+x^{k-2}+\ldots+1)= x^k -1$
Mathematics Stack Exchange is a question and answer site for people studying math at any level and profe... |
Suppose $X=Y_1\cup Y_2\,\cup \dots \cup\, Y_n$ where the $Y_i$s are disjoint. In the notes provided by the professor he mentioned that the symmetric group $\operatorname{Sym}(Y_i)$ can be viewed as a subgroup of $\operatorname{Sym}(X)$ by extending the functions from $\operatorname{Sym}(Y_i)$.
Precisely: if $f \in \ope... |
In order to insert blocks of LaTeX notation in your document, click on Insert from the toolbar menu and then click LaTeX. You can choose to set your default to LaTeX by changing your editor settings in your profile.
A new LaTeX block in your document is created where the cursor is. It looks like this: You can now type ... |
ä is in the extended latin block and n is in the basic latin block so there is a transition there, but you would have hoped \setTransitionsForLatin would have not inserted any code at that point as both those blocks are listed as part of the latin block, but apparently not.... — David Carlisle12 secs ago
@egreg you are... |
I have a plane, $z=0$, as shown in the image below where $\hat{s}$ is a direction unit vector displayed by the red arrow and $\hat{n}$ is the normal unit vector to the plane.
The angle between $\hat{s}$ and $\hat{n}$ is given as:
$$\zeta = \arccos\left(\frac{\boldsymbol{\hat{s}}.\boldsymbol{\hat{n}}}{\lVert \boldsymbol... |
In this paper, we propose a feasible scheme for purifying two-qubit entanglement in the presence of decoherence by employing weak measurements. As long as the entanglement parameter $$\alpha $$ α and the measurement strength $$p$$ p satisfy a certain condition, we can always achieve the purification without reference t... |
Witt vector
An element of an algebraic construct, first proposed by E. Witt [1] in 1936 in the context of the description of unramified extensions of $p$-adic number fields. Witt vectors were subsequently utilized in the study of algebraic varieties over a field of positive characteristic [3], in the theory of commutat... |
TensorFlow 1 version View source on GitHub
Solves one or more linear least-squares problems.
Aliases:
tf.compat.v1.linalg.lstsq
tf.compat.v1.matrix_solve_ls
tf.compat.v2.linalg.lstsq
tf.linalg.lstsq( matrix, rhs, l2_regularizer=0.0, fast=True, name=None)
matrix is a tensor of shape
[..., M, N] whose inner-most 2 dimens... |
How to Use the Beam Envelopes Method for Wave Optics Simulations
In the wave optics field, it is difficult to simulate large optical systems in a way that rigorously solves Maxwell’s equation. This is because the waves that appear in the system need to be resolved by a sufficiently fine mesh. The beam envelopes method ... |
Search
Now showing items 1-10 of 26
Kaon femtoscopy in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV
(Elsevier, 2017-12-21)
We present the results of three-dimensional femtoscopic analyses for charged and neutral kaons recorded by ALICE in Pb-Pb collisions at $\sqrt{s_{\rm{NN}}}$ = 2.76 TeV. Femtoscopy is used to... |
Fourier transforms are quite useful in solving differential equations. By decomposing the functions using Fourier transform, we might be able to simplify many differential equations.
Suppose we have a differential equation
To solve the equation, we decompose \(f(x)\) using its Fourier transform,
Then we get
The equatio... |
Sandbox From AbInitio
Revision as of 04:56, 8 January 2008 (edit)
Stevenj (Talk | contribs)
(→Scribble below)
← Previous diff
Revision as of 03:37, 9 January 2008 (edit)
Stevenj (Talk | contribs)
(→Scribble below)
Next diff →
Line 11: Line 11: You can put text in '''bold''', ''italics'', etcetera (see also the buttons ... |
I have been given the following definition: $\rule{17cm}{0.4pt}$
Let $\{a_n\}$ be a sequence in $\mathbb{R}$. The series: $$\sum_{n=0}^\infty a_n$$ is $\textbf{convergent}$ if the sequence $\{s_m\}$ of the $\textbf{partial sums}$ $$s_m=\sum_{n=0}^m a_n$$ converges, that is for all $\varepsilon >0$ there exists $N=N(\va... |
Can photons push the source which is emitting them?
Yes.
If yes, will a more intense flashlight accelerate me more?
Yes
Does the wavelength of the light matter?
No
Is this practical for space propulsion?
Probably not
Doesn't it defy the law of momentum conservation?
No
In fact that last question is the key one, because... |
I am not sure if I am using the correct terminology, something must be written about the following problem, but I cannot find it by searching.
I am presently analyzing data about the effect of introduction of a new vaccination program. The data is supposedly "ecological data", that is , population data, we do not have ... |
ISSN:
1078-0947
eISSN:
1553-5231
All Issues
Discrete & Continuous Dynamical Systems - A
January 1999 , Volume 5 , Issue 1
Select all articles
Export/Reference:
Abstract:
This paper deals with various applications of two basic theorems in order- preserving systems under a group action -- monotonicity theorem and converg... |
There and Back Again: Time of Flight Ranging between Two Wireless Nodes
With the growth in the Internet of Things (IoT) products, the number of applications requiring an estimate of range between two wireless nodes in indoor channels is growing very quickly as well. Therefore, localization is becoming a red hot market ... |
My question is mainly about getting explanation to Gauss's third note (note III) in his writing "Zur Astralgeometrie", (see Cubierung der Tetraeder, pages 228-229), and about placing it in the right historical context. In this note Gauss is writing the following:
"In the tetrahedron 1234 (1,2,3,4 are it's vertexes), wh... |
Since the cable is not moving horizontally you know the horizontal component of tension is the same at both ends. The total tension is the horizontal component divided by the cosine of the angle. So the ratio between the tensions is the ratio of the cosines. Since you know the shape of the curve you should be able to t... |
I am studying gaussian processes and I have already discrete amount of knowledge in gaussian mixture models. I am here to undersrtand if with a gaussian process you can fit a gaussian mixture model.
Formally, a GMM is a linear combination of gaussians such that $$ \phi(x) = \sum_{i=0}^k \alpha_i \phi_i(x | \mu_i, \Sigm... |
I have just been playing with this and thought my solution just might help somebody else at some point. I wanted the following:
table notes i.e. notes at the bottom of the tabular, within the
table environment - not at the bottom of the page;
automatic numbering of notes within the list of notes;
automatic numbering of... |
wait, well i guess I learned something new today:
Google is an untrusted source
no its just you divided by .33 which is not the same as 1/3 when you divide
hmmmm
(does the math again)
ahhhhh
k guess I learned something else today:
MY WHOLE LIFE IS FILLED WITH LIES!!!!!
WHY DO TEACHERS SAY CONVERT FROM FRACTIONS TO DECI... |
ISSN:
1078-0947
eISSN:
1553-5231
All Issues
Discrete & Continuous Dynamical Systems - A
October 1999 , Volume 5 , Issue 4
Select all articles
Export/Reference:
Abstract:
The paper is devoted to investigation of a number of difference-deiiferential equations, among them the following one plays the central role:
$dF_n$/$... |
Nonzero $\phi$'s and $\psi$'s denote the temporal influence from stimulus to mediator/outcome and etc
$A$, $B$, $C$ are causal following a similar proof in Sobel, Lindquist, 04
Causal Conditions
The treatment randomization regime is the same across time and participants.
Models are correctly specified, and no treatment... |
Abbreviation:
All
An
is an expanded category $\mathbf{M}=\langle M,\circ,\text{dom},\text{rng},\text{id},\vee,\wedge,^\smile\rangle$ such that allegory
$...$ is …: $...$
$...$ is …: $...$
Remark: This is a template.
It is not unusual to give several (equivalent) definitions. Ideally, one of the definitions would give a... |
The logarithm $\log_{b} (x)$ can be computed from the logarithms of $x$ and $b$ with respect to a positive base $k$ using the following formula:
$$\log_{b} (x) = \frac{\log_{k} (x)}{\log_{k} (b)}.$$
So your examples can be solved in the following way with a calculator:
$$x = \log_{1.03} (2) = \frac{\log_{10} (2)}{\log_... |
The metric is
$$d\bar{s}^2=2GJ\Omega^2\left(-(1+r^2)d\tau^2+\frac{dr^2}{1+r^2}+d\theta^2+\Lambda^2(d\varphi+rd\tau)^2\right)$$
Where
$$\Omega^2\equiv\frac{1+\cos^2\theta}{2},\quad\Lambda\equiv\frac{2\sin\theta}{1+\cos^2\theta}$$
It is said that the metric has enhanced $SL(2,\mathbb{R})\times U(1)$ isometry group. Now w... |
We receive a stream of $n-1$ pairwise different numbers from the set $\left\{1,\dots,n\right\}$.
How can I determine the missing number with an algorithm that reads the stream once and uses a memory of only $O(\log_2 n)$ bits?
Computer Science Stack Exchange is a question and answer site for students, researchers and p... |
Also read, Circle Formulas Area Formulas Lines and Angles Coordinate Geometry Conic Section Formula The Straight line:
Straight line definition is simple according to euclidian geometry that it is a breadthless length. Also, it is the collection of points which follows a straight path. Read straight line formula furthe... |
I have this curve. It's definitely no sine or cosine. It consists of half circles. How do you call it and how do you describe it mathematically?
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up.Sign up t... |
The
Kelvin–Helmholtz mechanism is an astronomical process that occurs when the surface of a star or a planet cools. The cooling causes the pressure to drop, and the star or planet shrinks as a result. This compression, in turn, heats up the core of the star/planet. This mechanism is evident on Jupiter and Saturn and on... |
Let us say that you are taking AP Statistics. The prerequisite is a passing grade of D or above in Algebra II. The kids that you are working with struggle with algebra and do not retain information very well. Even though you spent a month talking about z-scores and how to find them using the invNorm() function a lot of... |
This question already has an answer here:
I have to prove that
$$\lim_{n\to \infty} \frac {n^n} {n!}=\infty$$
I've tried to look for a lower bound that also converges to $\infty$ (I don't know if I'm explainig myself correctly), but I haven't found one yet. Applying L'Hôpital is way too complicated in $n!$, and the eps... |
As we known, if there is time derivative interaction in $\mathcal L_\mathrm{int}$, then $\mathcal{H}_\mathrm{int}\neq -\mathcal{L}_\mathrm{int}$. For example, Scalar QED, $$ \begin{aligned} \mathcal{L}_\mathrm{int}&= -ie \phi^\dagger(\partial_\mu \phi) A^\mu+ie(\partial_\mu \phi^\dagger) \phi A^\mu +e^2\phi^\dagger \ph... |
The $\mathbb{Z_5}$-vector space $\mathfrak{B}$ 3 over the field $(\mathbb{Z_5}, +, .)$ $\mathfrak{B}$ 3over the field $(\mathbb{Z_5}, +, .)$ 1. BackgroundThis is a formal introduction to the genetic code $\mathbb{Z_5}$-vector space $\mathfrak{B}^3$ over the field $(\mathbb{Z_5}, +, .)$. This mathematical model is defin... |
Refine Language English (10) (remove)
The article provides an asymptotic probabilistic analysis of the variance of the number of pivot steps required by phase II of the "shadow vertex algorithm" - a parametric variant of the simplex algorithm, which has been proposed by Borgwardt [1] . The analysis is done for data whi... |
Given a compact oriented submanifold $N \subset M$ one says that $N$ represents a homology class in $M$ by taking $i_*(\tau_N)$ where $i_*$ is induced by inclusion and $\tau_N$ is the fundamental class of $N$ chosen according to orientation.
There are some cases where this is completely clear. For example, $S^1$ repres... |
In an examination, I was asked to calculate $\int_0^{1}\frac{x^{300}}{1+x^2+x^3}dx$. Options were gives as
a - 0.00
b - 0.02 c - 0.10 d - 0.33 e - 1.00
Just look at the questions I felt the integral $I \geq \sum_0^1{}\frac{x^{300}}{1+x^2+x^3} = 0.33$. I felt, since numerator is very small as compared to denominator the... |
Basically 2 strings, $a>b$, which go into the first box and do division to output $b,r$ such that $a = bq + r$ and $r<b$, then you have to check for $r=0$ which returns $b$ if we are done, otherwise inputs $r,q$ into the division box..
There was a guy at my university who was convinced he had proven the Collatz Conject... |
First note that if $k\neq 2,3$, then all eigenvalues are different, and hence the matrix is diagonalizable.
In case when $k = 2$ or $k=3$, i.e. you have an eigenvalue with multiplicity more than $1$, you need to calculate dimension of the eigenspace. If all the dimensions of eigenspaces are equal to multiplicities of c... |
I have mentioned this elsewhere, but it bears repeating because it is such an important concept:
Sufficiency pertains to
data reduction, not parameter estimation per se. Sufficiency only requires that one does not "lose information" about the parameter(s) that was present in the original sample.
Students of mathematica... |
The essence of the matter is both strikingly simple and extremely general. Namely, there are infinitely many solutions to your congruence simply because the solutions lie in the orbit of an invertible map on a finite set. But such permutations decompose into finite
cycles - so they repeat infinitely often upon iteratio... |
Abbreviation:
APoGrp
An
is a partially ordered group $\mathbf{A}=\langle A,+,-,0,\le\rangle$ such that abelian partially ordered group
$\cdot$ is
: $xy=yx$ commutative
Remark: This is a template. If you know something about this class, click on the ``Edit text of this page'' link at the bottom and fill out this page.
I... |
In signal processing, cross-correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them. This is also known as a sliding dot product or sliding inner-product. It is commonly used for searching a long signal for a shorter, known feature. It has applications in pattern recog... |
It looks like you're new here. If you want to get involved, click one of these buttons!
We've been looking at feasibility relations, as our first example of enriched profunctors. Now let's look at another example. This combines many ideas we've discussed - but don't worry, I'll review them, and if you forget some defin... |
ISSN:
1930-5346
eISSN:
1930-5338
All Issues
Advances in Mathematics of Communications
May 2007 , Volume 1 , Issue 2
Select all articles
Export/Reference:
Abstract:
Let $A(n, d)$ denote the maximum number of codewords in a binary code of length n and minimum Hamming distance $d$. Upper and lower bounds on $A(n, d)$ have... |
Search
Now showing items 1-10 of 26
Production of light nuclei and anti-nuclei in $pp$ and Pb-Pb collisions at energies available at the CERN Large Hadron Collider
(American Physical Society, 2016-02)
The production of (anti-)deuteron and (anti-)$^{3}$He nuclei in Pb-Pb collisions at $\sqrt{s_{\rm NN}}$ = 2.76 TeV has ... |
Abbreviation:
CRPoSgrp
A
is a residuated partially ordered semigroup $\mathbf{A}=\langle A, \cdot, \to, \le\rangle$ such that commutative residuated partially ordered semigroup
$\cdot$ is
: $xy=yx$ commutative
Remark: This is a template. If you know something about this class, click on the ``Edit text of this page'' li... |
General intuition:The classical fisher information (CFI) is a measure of how quickly a probability distribution changes with respect to some parameter. While the quantum fisher information(QFI) is how quickly a quantum state (represented by a density matrix) changes with respect to some parameter. To define such a meas... |
I am trying to calculate shannon entropy of
CWT. I am not sure if I am doing it right. Assume that $W(a_i,t), i=1;2;...;M$ is a set of wavelet coefficients. The Shannon wavelet entropy is calculated by:
$E=-\sum_{i=1}^{M}d_i log(d_i)$ $\rightarrow$ where $d_i=\frac{|W(a_i,t)|}{\sum_{j=1}^{M}W(a_j,t)}$ I am confused how... |
This question is (in my opinion) the most important question to ask when trying to understand the mathematics of "quantum superposition." Quantum superposition is the essence of how quantum computations are made.
If I have a coin, and I flip it 50% of the times I'll get heads and 50% of the time I can get tails:
P(Head... |
Preprints (rote Reihe) des Fachbereich Mathematik Refine Year of publication 1996 (22) (remove)
293
Tangent measure distributions were introduced by Bandt and Graf as a means to describe the local geometry of self-similar sets generated by iteration of contractive similitudes. In this paper we study the tangent measure... |
This is the problem:
A particle is restrained to move in 1D between two rigid walls localized in x=0 and x=a. For t=0, it’s described by:
$$\psi(x,0) = \left[\cos^{2}\left(\frac{\pi}{a}x\right)-\cos\left(\frac{\pi}{a}x\right)\right]\sin\left(\frac{\pi}{a}x\right)+B $$
For $t>0$, determine the probability of finding the... |
Left Inverse for All is Right Inverse
Jump to navigation Jump to search
Theorem $\forall x \in S: \exists x_L: x_L \circ x = e_L$ Proof
Let $y = x \circ x_L$. Then:
\(\displaystyle e_L \circ y\) \(=\) \(\displaystyle \paren {y_L \circ y} \circ y\) Definition of Left Inverse Element \(\displaystyle \) \(=\) \(\displayst... |
Brauer height-zero conjecture
For notation and definitions, see also Brauer first main theorem.
Let $\chi$ be an irreducible character in a block $B$ of a group $G$ with defect group $D$ (cf. also Defect group of a block). Let $\nu$ be the discrete valuation defined on the integers with $\def\a{\alpha}\nu(np^\a)=\a$ wh... |
In a previous mathstack question I posted a formal series solution for finding the fixed points of $z \mapsto \exp(z)-1+k$. This analytic Taylor series in $\sqrt{-2k}$ can generate both fixed points for bases between $1 < a < \exp(1/e)$ as well as the complex conjugate pair of fixed points for bases $>\exp(1/e)$, and w... |
Reading the definition of partition of unity:
Let $A\subset \Bbb R^n$ and let $\mathcal{O}$ be an open cover of $A$. Then there is a collection $\Phi$ of $C^\infty$ functions $\varphi$ defined in an open set containing $A$, with the following properties:
For each $x \in A$ we have $0 \leq \varphi(x) \leq 1$.
For each $... |
Is there a "simple" mathematical proof that is fully understandable by a 1st year university student that impressed you because it is beautiful?
closed as primarily opinion-based by Daniel W. Farlow, Najib Idrissi, user91500, LutzL, Jonas Meyer Apr 7 '15 at 3:40
Many good questions generate some degree of opinion based... |
I think there are two legitimate sources of complaint. For the first, I will give you the anti-poem that I wrote in complaint against both economists and poets. A poem, of course, packs meaning and emotion into pregnant words and phrases. An anti-poem removes all feeling and sterilizes the words so that they are clear.... |
The expression can be succintly written as ${\left({\mathbf{x}}^TA\mathbf{x} \right)}^n$, where $\mathbf{x}=(x_1,x_2,\ldots,x_N)$.The inner product $x^TAx$ is some polynomial $p_A(\mathbf{x})$ that is a sum of monomials of degree exactly $2$.Hence, each nonzero monomial in ${\left({\mathbf{x}}^TA\mathbf{x}\right)}^n ={... |
I was looking for why optical quantum computers don't need "extremely low temperatures" unlike superconducting quantum computers.Superconducting qubits usually work in the frequency range 4 GHz to 10 GHz.The energy associated with a transition frequency $f_{10}$ in quantum mechanics is $E_{10} = h f_{10}$ where $h$ is ... |
A while back I bought a couple of PIC16F57 (DIP) chips because they were dirt cheap. I figured someday I could use these in
something. Yes, I know, this is a horrible way to actually build something and a great way to accumulate junk. However, this time the bet paid off! Only about a year or two too late; but that’s be... |
In signal processing, cross-correlation is a measure of similarity of two waveforms as a function of a time-lag applied to one of them. This is also known as a sliding dot product or sliding inner-product. It is commonly used for searching a long signal for a shorter, known feature. It has applications in pattern recog... |
My questions is about mass and Inertia, what is the difference between Mass and Inertia? Are they the same or different? How?
I am really confused with it,some says mass is the measure of Inertia, if so the unit of Inertia is Kg?
Physics Stack Exchange is a question and answer site for active researchers, academics and... |
I know about tables containing information about descending in symmetry, i.e. from larger point groups to their sub-groups.
My question is - does any similar table exist even for $C_{\infty v}$ and $D_{\infty h}$ point groups?
Chemistry Stack Exchange is a question and answer site for scientists, academics, teachers, a... |
For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.
gmc_nxtman Posts: 1147 Joined: May 26th, 2015, 7:20 pm Kazyan wrote:
Component found in a CatForce result:
Code: Select all
x = 42, y = 67, rule = LifeHistory
A$.2A$2A5$7.A$8.2A$7.2A19$24.2A$24.2A2$39.A$37.A3.A$3... |
1. Series 28. Year Post deadline: - Upload deadline: -
(2 points)2. streaimng streamlines
Draw streamlines into the picture. Into both openings with an arrow the same amount of water flows, All the water then flows out through one opening, the third one. The flow is stable and is slow enough that we can consider it not... |
Displacement s, d (mileage), they would (elevation) meters – m Displacement is the total alternation in duration in different one track. Power it’s time kind of their time, P=dE/dt. Using Newton’s Secondly Regulation, Hooke’s Legislations, plus some differential Calculus, we had arrived capable to get the time and also... |
If I have computed correctly, logistic regression asymptotically has the same power as the t-test. To see this, write down its log likelihood and compute the expectation of its Hessian at its global maximum (its negative estimates the variance-covariance matrix of the ML solution). Don't bother with the usual logistic ... |
Signal-to-noise ratio
Don H. Johnson (2006), Scholarpedia, 1(12):2088. doi:10.4249/scholarpedia.2088 revision #126771 [link to/cite this article] Signal-to-noise ratio generically means the dimensionless ratio of the signal power to the noise power contained in a recording.Abbreviated SNR by engineers and scientists, t... |
Marginal costs MC is defined as $MC=\frac{dC}{dq}$. Taking into account that $C=wL+rK$,
$$MC=\frac{dC}{dq}=w\frac{dL}{dq}+r\frac{dK}{dq}$$
Recall that marginal product of labor $MP_{L}=\frac{\partial q}{\partial L}$ and marginal product of capital $MP_{K}=\frac{\partial q}{\partial K}$.
Question: is the following corre... |
Abbreviation:
COMon
A
is an (totally) ordered monoid $\mathbf{A}=\langle A,\cdot,1,\le\rangle$ such that commutative ordered monoid
$\cdot$ is
: $xy=yx$ commutative
Remark: This is a template. If you know something about this class, click on the ``Edit text of this page'' link at the bottom and fill out this page.
It i... |
Let \(X_1, \ldots, X_N \sim \text{Poisson}(\lambda = 1.84)\). The probability density function for the Poisson random variable is \[ f(x | \lambda) = \lambda^x e^{{-\lambda}} / x! \] for \(x \in 0, 1, 2, 3, \ldots\) and \(\lambda > 0\)
By hand, calculate the simplified log-likelihood and then write the simplified log-l... |
I have just begun with my third year intermediate course in electrodynamics. A standard problem in electrostatics that one may repeatedly encounter is that of finding the potential due to a uniformly charged ring of radius
a and total charge q, at point P (r, θ) as shown in the figure below. $$ \\ $$
$$ \\ $$Solving th... |
This paper is based on the material of Section 4 and Appendix C in arXiv:1503.05523v6, which was excluded from the subsequent versions of arXiv:1503.05523. We present the definition of a dedualizing complex of bicomodules over a pair of cocoherent coassociative coalgebras $\mathcal C$ and $\mathcal D$. Given such a com... |
Most of what is covered in basic controls study is linear time invariant systems. If you're lucky, you may also get discrete sampling and z transforms at the end. Of course, switching mode power supplies (SMPS) are systems that evolve through topological states discontinuously in time, and also mostly have nonlinear re... |
6. Series 28. Year Post deadline: - Upload deadline: -
(2 points)1. ...au
The Turtle A'Tuin, on the shell of which the four elephants that carry on their backs Discworld stand, isn't tiny. Let us assume that we would be bored with the sphericity of our Earth and we would want to exchange it for a circular disc with the... |
Forgot password? New user? Sign up
Existing user? Log in
∫0π/2sin100x dx∫0π/2sin102x dx \large \dfrac{\displaystyle\int_{0}^{\pi/2} \sin^{100} x \, dx}{\displaystyle\int_{0}^{\pi/2} \sin^{102} x \, dx} ∫0π/2sin102xdx∫0π/2sin100xdx
If the integral above can be expressed as ab \dfrac abba, where aaa and bbb are coprime p... |
Note on the vocabulary: the word "hamiltonian" is used in this question to speak about hermitian matrices.
The HHL algorithm seems to be an active subject of research in the field of quantum computing, mostly because it solve a very important problem which is finding the solution of a linear system of equations.
Accord... |
Abbreviation:
FL
A
, or full Lambek algebra , is a structure $\mathbf{A}=\langle A, \vee, \wedge, \cdot, 1, \backslash, /, 0\rangle$ of type $\langle 2,0,2,0,2,1,2,2\rangle$ such that FL-algebra
$\langle A, \vee, \wedge, \cdot, 1, \backslash, /\rangle$ is a residuated lattice and
$0$ is an additional constant (can deno... |
I am now analyzing the following Chua's circuit.
The triangle at the bottom denotes zero electric potential (I struggle to find the right symbol). \$N_R\$ is the
Chua's diode. So the circuit is non-linear.
This version of the circuit can be modeled by the following system of ODEs, which can be found on Wikipedia.
$$ \f... |
An example of methylation analysis with simulated datasets
Part 2: Potential DMPs from the methylation signal
Methylation analysis with Methyl-IT is illustrated on simulated datasets of methylated and unmethylated read counts with relatively high average of methylation levels: 0.15 and 0.286 for control and treatment g... |
Connecting the Dots Between Theory, Model, and App
Simulation apps, as we’ve highlighted on the blog, are a powerful tool for hiding complex physics behind an easy-to-use, intuitive interface. While the app can be used by those with little simulation expertise, understanding the layers beneath its interface — the embed... |
We have had several questions about the relation of Cook and Karp reductions. It's clear that Cook reductions (polynomial-time Turing reductions) do not define the same notion of NP-completeness as Karp reductions (polynomial-time many-one reductions), which are usually used. In particular, Cook reductions can not sepa... |
Acceptance by empty stack for DPDA is weaker than acceptance by final state, but any regular language can be accepted by a DPDA on empty stack.
Definition of empty stack for DPDA can be defined as follows
$$\mathcal{L}(DPDA)_{EmptyStack}=\{w\in \Sigma^*\;|\;(q_0,w,$)\rightarrow (q,\lambda,\lambda)\}$$
where all transit... |
An example of methylation analysis with simulated datasets
Part 2: Potential DMPs from the methylation signal
Methylation analysis with Methyl-IT is illustrated on simulated datasets of methylated and unmethylated read counts with relatively high average of methylation levels: 0.15 and 0.286 for control and treatment g... |
Given points $v_1,\dots,v_n\in\mathbb Z^n$ in codimesion $1$ hyperplane $x_1+\dots+x_n=t$ with $0\leq x_{i}$ and a cyclic shift permutation $\sigma$ where
$v_1,\dots,v_n$ when written as columns of a matrix has rank $n$ and each row/column sum same
if $v_i=(x_{i1},\dots,x_{in})$ and $v_j=(x_{j1},\dots,x_{jn})$ then $v_... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.