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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7574 | # Math Help - Having trouble understanding this theorem related to groups.
1. ## Having trouble understanding this theorem related to groups.
This is taken from Judson's Abstract Algebra textbook.
I will notate the inverse of h as h and the inverse of g as g.
"Let H be a subset of a group G. Then H is a subgroup of... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7575 | ## Pages
### Fibonacci sequence and Pascal triangle
In previous post, we used the result of a tile matching puzzle to prove an identity for Fibonacci sequence. Today, we will continue on and prove another identity. We will show that $${2011 \choose 0} + {2010 \choose 1} + {2009 \choose 2}+ {2008 \choose 3}+ \dots + {... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7578 | # Math Help - LAST one - Promise! Trigonometric Ecuations.
1. ## LAST one - Promise! Trigonometric Ecuations.
I know that how to work with cos, sin and tan...
tanˆ2x + tanx = 0
tanx(tanx + 1) = 0
tanx = 0
x = undefined
tanx + 1 = 0
tanx = -1
x = -45
But, how do I solve:
(√3)csc(x) - 2 = 0
Thank you!
2. Hello, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7579 | # Implicit Differentiation
• November 29th 2006, 03:32 PM
Yogi_Bear_79
Implicit Differentiation
Use implicit differentiation to find an equation of the line tangent to the curve $x^3 + 2xy +y^3 = 13$ at the point (1, 2).
• November 29th 2006, 03:54 PM
Plato
$\begin{array}{l}
x^3 + 2xy + y^3 = 13 \\
3x^2 + \left[ {2y +... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7582 | Journal topic
Atmos. Meas. Tech., 13, 2923–2948, 2020
https://doi.org/10.5194/amt-13-2923-2020
© Author(s) 2020. This work is distributed under
the Creative Commons Attribution 4.0 License.
Atmos. Meas. Tech., 13, 2923–2948, 2020
https://doi.org/10.5194/amt-13-2923-2020
© Author(s) 2020. This work is distributed under
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7583 | # American Institute of Mathematical Sciences
November 2013, 33(11&12): 5049-5058. doi: 10.3934/dcds.2013.33.5049
## On the Ornstein Uhlenbeck operator perturbed by singular potentials in $L^p$--spaces
1 Università degli Studi di Pavia, Dipartimento di Matematica “F. Casorati”, via Ferrata 1, 27100 Pavia 2 Diparti... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7568 | It is currently 22 Oct 2018, 10:31
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7580 | # American Institute of Mathematical Sciences
January 2021, 17(1): 117-131. doi: 10.3934/jimo.2019102
## Biobjective optimization over the efficient set of multiobjective integer programming problem
1 USTHB, Department of Operational Research, Bp 32 El Alia, 16111 Algiers, Algeria 2 USTHB, LaROMaD Laboratory, Bp 3... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7581 | Next: Cylindrical Airfoils Up: Incompressible Aerodynamics Previous: Introduction
# Theorem of Kutta and Zhukovskii
Consider a two-dimensional airfoil that is at rest in a uniform wind of speed whose direction subtends a (clockwise) angle with the negative -axis. It follows that the wind velocity is , and the corresp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7576 | # Chapter 14: N1) Newton's Laws
• 14.1: Forces and Newton's Three Laws
• 14.2: Details on Newton's First Law
According to Newton’s first law (the law of inertia), there must be a cause for any change in velocity (a change in either magnitude or direction) to occur. Inertia is related to an object’s mass. If an object... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_7577 | # Papers
Journal of Ultra Scientist of Physical Sciences - A
Voulume: 31
Issue: 12
Article No. 1
Existence of Smooth Epimorphism from a Fuchsian Group to the point Group of Sulfur-Hexafloride
MOLOYA BHUYAN
Department of Mathematics, DCB Girlsu2019 College, Jorhat-ASSAM (India)
CHANDRA CHUTIA
Department of Mathematics,... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15554 | American Institute of Mathematical Sciences
• Previous Article
Convex combination of data matrices: PCA perturbation bounds for multi-objective optimal design of mechanical metafilters
• MFC Home
• This Issue
• Next Article
On multidimensional Urysohn type generalized sampling operators
doi: 10.3934/mfc.2021004
Online... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15555 | # Slice
For $n\in{\Bbb Z}_+$ and $(a,b,c)$ in the triangular grid
$\Delta_n := \{ (a,b,c) \in {\Bbb Z}_+^3: a+b+c = n \},$
the slice $\Gamma_{a,b,c}$ is the set of all strings in $[3]^n$ with $a$ occurences of $1$, $b$ occurences of $2$, and $c$ occurences of $3$. Thus, for instance,
$\Gamma_{1,2,0} = \{ 011, 101, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15556 | # Height Required for Rollercoaster to Remain on the Track
1. Oct 23, 2014
### B3NR4Y
1. The problem statement, all variables and given/known data
A roller-coaster car initially at a position on the track a height h above the ground begins a downward run on a long, steeply sloping track and then goes into a circular... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15557 | # Shared Statistical Concepts
#### Lasso Selection
Method=LASSO specifies the least absolute shrinkage and selection operator (LASSO) method, which is supported in the HPREG procedure. LASSO arises from a constrained form of ordinary least squares regression where the sum of the absolute values of the regression coef... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15559 | 667 views
### When is binomial distribution function above/below its limiting Poisson distribution function?
Let $B(n,p,r)$ denote the binomial distribution function (DF) with parameters $n \in \mathbb N$ and $p \in (0,1)$ evaluated at $r \in \{0,1,\ldots,n\}$: B(n,p,r) = \sum_{i=0}^r ...
1k views
### SVD of correla... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15560 | # A question about consistent fragments of formalized mathematical theories with Natural Deduction
Ref to : Sara Negri & Jan von Plato, Structural Proof Theory (2001).
In Ch.6 : Structural Proof Analysis of Axiomatic Theories [page 126-on], they
give a method of adding axioms to sequent calculus, in the form of nonl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15561 | ## A new proof of Sahlqvist’s theorem on modal definability and completeness.(English)Zbl 0682.03009
The theorem of the title says that modal axioms A of a certain form correspond effectively to first-order formulas, and the logic $$L+A$$ is canonical whenever L is canonical, i.e. is determined by its canonical Kripke... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15563 | # Product of all primes less then x
How to prove that $\prod_{p\leqslant{x}}p\leqslant4^{x-1},\ \forall x\geqslant2$,
where product is taken over all prime numbers $p\leqslant{x}$
-
this MO link could help, – Raymond Manzoni Aug 10 '12 at 18:46
## 1 Answer
One proof of this fact is the proof of Claim 2.2 of these ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15564 | # 3.3 Rates of change and behavior of graphs (Page 5/15)
Page 5 / 15
Access this online resource for additional instruction and practice with rates of change.
## Key equations
Average rate of change $\frac{\Delta y}{\Delta x}=\frac{f\left({x}_{2}\right)-f\left({x}_{1}\right)}{{x}_{2}-{x}_{1}}$
## Key concepts
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15565 | # On q-de Rham cohomology via $$\Lambda$$ -rings
Mathematische Annalen, Feb 2019
We show that Aomoto’s q-deformation of de Rham cohomology arises as a natural cohomology theory for $$\Lambda$$-rings. Moreover, Scholze’s $$(q-1)$$-adic completion of q-de Rham cohomology depends only on the Adams operations at each res... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15566 | # Linear Algebra: Vector space axioms
1. Dec 13, 2006
### preet
1. The problem statement, all variables and given/known data
One of the fundamental axioms that must hold true for a set of elements to be considered a vector space is as follows:
1*x = x
I was given a particular space: The set of all polynomials of de... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15567 | # Help for Screenwriter on Stan Lee project
Tags:
1. Jul 23, 2015
### Neil B
A man weighs 72 kg. he jumps from a tower 287m high. No windspeed. What appoximate speed wil he hit the ground in Km/hour?
2. Jul 23, 2015
### phinds
Do you reckon his weight matters?
3. Jul 23, 2015
### Dr. Courtney
Does he fall most... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15558 | It is currently 19 Jan 2018, 21:22
GMAT Club Daily Prep
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15552 | # Algebra and Combinatorics 2018 Spring
Spring 2018
Time & Location: All talks are on Friday in Gibson Hall 126 at 3:00 PM unless otherwise noted.
Organizer: Mahir Can
January 26
Algebra and Combinatorics
A closed non-iterative formula for straightening fillings of Young diagram
Reuven HodgesInstitution
Abstract:
You... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15553 | # The Grouping Number Method
This is an excerpt from a previous post, but if I want to introduce someone to the grouping number method, they don’t need all of the commentary about the AC method.
Are you looking for a nice and intuitive method for factoring quadratics when the leading coefficient isn’t one? Most peopl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_15562 | ## Calculus (3rd Edition)
$$c= -4$$
Given $$\lim _{x \rightarrow 1} \frac{x^{2}+3 x+c}{x-1}$$ Since the limit exist when $x-1$ is a factor of $x^{2}+3 x+c$ , consider \begin{align*} x^{2}+3 x+c&= (x-1) (x+a)\\ &= x^2+ (a-1)x-a \end{align*} by comparing, we get $$a-1=3\ \ \ \to \ \ a= 4$$ and $$c= -4$$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24352 | Answered You can buy a ready-made answer or pick a professional tutor to order an original one.
QUESTION
# Consider the diagram shown where a tree that is 100 ft tall casts a shadow 120 ft long. Find the angle of elevation of the sun. (to the nearest degree)Consider the diagram shown where a tree that is 1
Consider ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24353 | # zbMATH — the first resource for mathematics
Hurwitz pairs equipped with complex structures. (English) Zbl 0591.15019
Deformations, Proc. Semin., Łódź-Warsaw/Pol. 1982-84, Lect. Notes Math. 1165, 184-195 (1985).
[For the entire collection see Zbl 0568.00006.]
The authors are concerned with a reformulation of a classi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24354 | # zbMATH — the first resource for mathematics
Computing all pairs $$(\lambda , \mu )$$ such that $$\lambda$$ is a double eigenvalue of $$A+\mu B$$. (English) Zbl 1245.65043
The authors propose, analyze and test a method for the accurate numerical computation of the set of all scalar pairs $$(\lambda ,\mu )$$ such that... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24355 | # Derivation of Z-Transform/ inverse Z- Transform
Derivation of Z-Transform:-
If $x[n]$ is the given sequence then it’s Discrete Time Fourier Transform is $X(e^{j\omega&space;})$ .
i.e, $x[n]\leftrightarrow&space;X(e^{j\omega&space;})$
$x[n]\&space;r^{-n}\leftrightarrow&space;X(r\&space;e^{j\omega&space;})$.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24356 | # cube root of 1728 by division method
We calculate the area of a square as side x side i.e side2, but if we have to calculate the side of a square we need to take the square root of the area. For a given number “a”, the cube root is the number “b” that if multiplied by itself for 3 times equals “a”. 11 | 1331. Step 1... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24357 | # Math Help - finding trigonometric values
1. ## finding trigonometric values
Can someone help me with this question?
Determine the exact value for each trigonometric expression, given sinA= 4/5, cos B= (-8/17),
[(pi)/2] < A < pi and (pi) < B < [3(pi)/2]
Find
1) sin (A-B)
2) Sin (A+B)
3) cos (A+B)
4) tan (A-B)
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24358 | # What is the second fundamental form of moduli space?
Away from the hyperelliptic locus, the moduli of curves immerses in the moduli of principally polarized abelian varieties. The ambient space has a riemannian metric, so one can ask about the second fundamental form, the first-order deviation of the submanifold fro... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24360 | Question 1: In the given circle with diameter $AB$, find the value of $x$. [2003]
$\angle ABD = \angle ACD = 30^o$ (angles in the same segment)
In $\triangle ADB$
$\angle BAD + \angle ADB + \angle ABD = 180^o$
Since $AB$ is the diameter,
$\angle ADB = 90^o$ (angle in the semi circle)
$x+ 90+30 = 180 \Rightarrow x... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24361 | ## College Algebra 7th Edition
$f^{-1}(1)=0$ $f^{-1}(3)=4$
We see from the graph that $f(0)=1$. This means that $f^{-1}(1)=0$ ($x$ and $y$ get switched). Similarly, we see from the graph that $f(4)=3$ and therefore $f^{-1}(3)=4$. |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24362 | 1. ## Inverse function
Hi there,
I have some trouble understanding how to derive that the inverse function of the following function
$f(x,y) = (x+y,x-y)$
is
$f^{-1}(x,y) = \frac{1}{2}(x+y,x-y)$
So far I had no trouble in one dimension. Maybe my problem lies here somewhere...
Thanks in advance for any help.
Cheer... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24363 | (constant pressure), isochoric process (constant volume), isentropic process (constant entropy), or an isenthalpic process (constant enthalpy). 2 It explains how we use cookies (and other locally stored data technologies), how third-party cookies are used on our Website, and how you can manage your cookie options. = ⇒ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24364 | Coefficient of friction: Wikis
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Note: Many of our articles have direct quotes from sources you can cite, within the Wikipedia article! This article doesn't yet, but we're working on it! See more info or our list of citable articles.
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From Wikipedia, the fr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24366 | # Residuals of a function
1. Nov 6, 2008
### FunkyDwarf
Hey guys,
Im trying to evaluate the integral round the unit circle to in turn evaluate a real integral, but the bit im stuck on is finding the residual at zero for the complex function.
Whats on the bottom of the function isnt overly important as thats not wh... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24367 | # Problem #2348
2348 In $\triangle ABC$ shown in the figure, $AB=7$, $BC=8$, $CA=9$, and $\overline{AH}$ is an altitude. Points $D$ and $E$ lie on sides $\overline{AC}$ and $\overline{AB}$, respectively, so that $\overline{BD}$ and $\overline{CE}$ are angle bisectors, intersecting $\overline{AH}$ at $Q$ and $P$, resp... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24365 | # Does focused proof search ever have to backtrack across the choice of focus formula?
There are a lot of different "focused" sequent calculi for lots of different logics, but my understanding is that many or most of them have the following flavor. First one divides the connectives into "left-asynchronous / positive" ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_24359 | # Ancient Civilization of Numbering System to Foundation of Calculation and Measurement
Ancient Civilizations Numbering Systems and Foundation Calculation of Measurements
Numbers is one among the tons of discovery in human civilization, especially useful in the major called Mathematics, also that’s hard to predict th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21136 | ## A community for students. Sign up today!
Here's the question you clicked on:
## xomelissaox one year ago A company offers a starting yearly salary of 37,000 with raises of 2,500 per year find the total salary over a ten year period
• This Question is Closed
1. deena123
form AP
2. deena123
a=37000,d=2500,n=10
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21137 | How do you write an equation of a line, given (4,5) that is perpendicular to the line 3x-4y=7?
Jun 30, 2017
$4 x + 3 y = 31$
Explanation:
Rearrange the original equation into form: $y = m x + c$
$\left(y = \frac{3}{4} x - \frac{7}{4}\right) .$
The perpendicular gradient is the negative reciprocal of $\frac{3}{4}$... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21138 | # Thread: System of first order ODE
1. I should state all linear subspaces for which the solutions for t->inf or t->-inf converge against x=0.
2. I think I have an idea what you mean. Let's take $t\to\infty.$ Now, we don't know the signs of $a$ and $b,$ so we'll have to do different cases depending on which one we ha... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21139 | Sketch the graph that has an area of 0.78 under the standardnormal curve and to the right of the z-score.
Question:
Sketch the graph that has an area of 0.78 under the standard normal curve and to the right of the z-score. Then find the associated z-score.
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21140 | Search the repository
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21141 | Main
# Introduction to State (Discrete States)
"Coin States"
Coin States
Coins and dice are usually used in probability discussions as devices supposed to provide random results. Here they merely are examples of objects which have a small number of possible states.
#### Contents
Consider a (mathematical) space in ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21142 | +0
# Graphing
0
29
1
What is the smallest distance between the origin and a point on the graph of y = 1/2*(x^2 - 8).
Feb 20, 2023
#1
+118448
+1
I want to find the smallest distance between $$(x,\frac{x^2-8}{2}) \qquad and \qquad (0,0)$$
The distance between these is
$$d=\sqrt{(x-0)^2+(\frac{x^2-8}{2}-0)^2} \\d... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21144 | ## Stream: new members
### Topic: Finite sum of zeroes
#### Javier Prieto (Dec 03 2020 at 12:45):
Hi everyone. I'm very new to Lean, so this is a very basic question. I want to show that the constant function f : i -> R where i is a finite type and f i = 0 everywhere integrates to zero. Here is my code:
import data... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21145 | # arctan in degrees
tan π/4 = tan 45º = 1 The arctangent of 1 is equal to the inverse tangent function of 1, which is equal to π/4 radians or 45 degrees: arctan 1 = tan-1 1 = π/4 rad = 45º Press the ‘calculate’ button or the equal sign to execute the calculation. Open Live … Notice that because of the sign ambiguity, ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21146 | # Electric field problem
1. Aug 30, 2008
### Davetty
1. The problem statement, all variables and given/known data
Two point charges +q and +2q are held along the x-axis, +q at x=0, +2q at x=3d.
i) which region(s) on the x-axis where the electric field due to the two charges is zero?
ii) Find the exact location in t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21147 | Now showing items 1-3 of 3
• #### The enhanced principal rank characteristic sequence
(Elsevier, 2015)
The enhanced principal rank characteristic sequence (epr-sequence) of a symmetric n ×n matrix is a sequence from A,S, or N according as all, some, or none of its principal minors of order k are nonzero. Such seque... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21148 | # For $z, w \in\mathbb C$, prove that $2|zw| \le |z|^2+|w|^2$
For $z, w \in \mathbb C$, prove that $2|zw| \le |z|^2+|w|^2$, and deduce that $|z+w|^2 \le 2(|z|^2+|w|^2)$, where $|v|$ is the modulus of vector $v \in \mathbb C$.
-
Eugh, again? This is like the ninth question from this guy... – Ｊ. Ｍ. Nov 4 '10 at 10:31
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21149 | Left A-Modules, Right A-Modules, and A-Bimodules
# Left A-Modules, Right A-Modules, and A-Bimodules
## Left A-Modules, Right A-Modules, and A-Bimodules
Definition: Let $\mathfrak{A}$ be an algebra over $\mathbf{F}$ and let $M$ be a linear space over $\mathbf{F}$. We say that $M$ is a Left $\mathfrak{A}$-Module if w... |
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L. D. Faddeev’s Seminar on Mathematical Physics
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MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21151 | # Fluids rate of flow homework help
1. Apr 17, 2012
### domyy
1. The problem statement, all variables and given/known data
Two cylindrical pipes both carry an ideal fluid (zero viscosity) in laminar flow. Pipe A has radius Ra = 2 and flow velocity Va = 8cm/s. Pipe B has radius Rb = 4cm and flow velocity Vb = 4cm/s.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_21143 | # Floating base estimation
For a legged system, locomotion is about controlling the unactuated floating base to a desired location in the world. Before a control action can be applied, the first thing is to estimate the position and orientation of this floating base. In what follows, we will see the simple anchor poin... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10320 | Question
What is theta equal to 1. in radians, 2. in degrees, if, cot(theta)=1
Non-right triangles and trigonometry
What is $$\displaystyle\theta$$ equal to
if, $$\displaystyle{\cot{{\left(\theta\right)}}}={1}$$
1. $$\displaystyle\theta=\frac{\pi}{{4}}+\pi{n}$$
2. $$\displaystyle\theta={45}^{\circ}+{180}^{\circ}{n}$$ |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10321 | # 8.2 Graphs of the other trigonometric functions (Page 9/9)
Page 9 / 9
How can the graph of $\text{\hspace{0.17em}}y=\mathrm{cos}\text{\hspace{0.17em}}x\text{\hspace{0.17em}}$ be used to construct the graph of $\text{\hspace{0.17em}}y=\mathrm{sec}\text{\hspace{0.17em}}x?$
Explain why the period of $\text{\hspace{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10322 | ## Algebra 1: Common Core (15th Edition)
Published by Prentice Hall
# Chapter 12 - Data Analysis and Probability - 12-7 Theoretical and Experimental Probability - Practice and Problem-Solving Exercises - Page 773: 23
5:1
#### Work Step by Step
The odds are given as a ratio of the number of favorable outcomes to th... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10323 | Prove that a metric space is sequentially compact iff every infinite subset has a cluster point
Prove that a metric space $(X,d)$ is sequentially compact iff every infinite subset has a cluster point.
"$\implies$"
Assume there is some infinite subset $S$ that has no cluster points in $X$, that is for every $s\in S$ ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10325 | # Directions: The question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give answer.What is the distance between A and B?Statement I: C is in midway of ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10326 | A circular disc of radius b has a hole of radius a at its centre (see figure). If the mass per unit area of the disc varies as , then the radius of gyration of the disc about its axis passing through the centre is :Option 1)Option 2) Option 3)Option 4)
Option 1)
Option 2)
Option 3)
Option 4)
Preparation Products
... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10327 | zbMATH — the first resource for mathematics
Two-parameter bifurcations in a network of two neurons with multiple delays. (English) Zbl 1136.34058
The following system of delay-differential equations is considered
$\dot x_1(t) = -x_1(t) + \beta f(x_1(t-\tau)) + a_{12} f(x_2(t-\tau_1)),$
$\dot x_2(t) = -x_2(t) + \beta f... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10328 | # Make a triangle!
## 题意翻译
## 题目描述 Masha有三根长度分别为a,b,c厘米的小棒。每一分钟，Masha可以选择一根小棒并将它的长度增加一厘米，但他不可以折断小棒。 现在他要你求出他最少需要多少时间使得这三根小棒可以构成一个三角形。 ## 输入格式 三个数，分别为a,b,c ## 输出格式 一个数，为Masha最少需要的时间
## 题目描述
Masha has three sticks of length $a$ , $b$ and $c$ centimeters respectively. In one minute Masha can pick one arbitrary stick a... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10331 | # Find the kernel of a linear transformation of $P_2$ to $P_1$
For some reason, this particular problem is throwing me off:
Find the kernel of the linear transformation:
$T: P_2 \rightarrow P_1$
$T(a_0+a_1x+a_2x^2)=a_1+2a_2x$
Since the kernel is the set of all vectors in $V$ that satisfy $T(\vec{v})=\vec{0}$, it's ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10332 | # trigonometry bbc bitesize
Uncategorised
Trigonometry involves three ratios - sine, cosine and tangent which are abbreviated to $$\sin$$, $$\cos$$ and $$\tan$$. Kieran suffers a panic attack which calls his future as a paramedic into question. The opposite side ($$o$$) is opposite the angle in question ($$x$$). Give... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10335 | # That’s how to find a chi square p value Excel!
There are a few variations on the chi-square statistic. Which one you use depends upon how you collected the data and which hypothesis is being tested. However, all of the variations use the same idea, which is that you are comparing your expected values with the values... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10329 | # For an irrotational flow, the equation $$\frac{{{\partial ^2}\phi }}{{\partial {x^2}}} + \frac{{{\partial ^2}\phi }}{{\partial {y^2}}}$$ is known as
This question was previously asked in
ISRO Refrigeration and Air Conditioning 2013
View all ISRO Scientist ME Papers >
1. Bernoulli’s equation
2. Cauchy Riemann’s equat... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10330 | Precalculus with Limits (2010)
Educators
Problem 1
A set of two or more equations in two or more variables is called a ________ of ________.
Check back soon!
Problem 2
A ________ of a system of equations is an ordered pair that satisfies each equation in the system.
Check back soon!
Problem 3
Finding the set o... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10334 | # Homework Help: Limit of a Complex Integral
1. Mar 20, 2010
### iluvphysics
1. The problem statement, all variables and given/known data
Let U be open in C, f : U -> C continuous.
Prove that
$$\lim_{R\rightarrow 0} \int_0^{2\pi} f(Re^{it}) dt = 2\pi f(0)$$
2. Relevant equations
$$\lim_{R\rightarrow 0} f(Re^{it})... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10324 | # What is the Sandbox?
This "Sandbox" is a place where Code Golf users can get feedback on prospective challenges they wish to post to the main page. This is useful because writing a clear and fully specified challenge on the first try can be difficult. There is a much better chance of your challenge being well receiv... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_10333 | ### Knowing Our Numbers-Solutions Ex-1.2
CBSE Class –VI Mathematics
NCERT Solutions
Chapter 1 Knowing Our Numbers (Ex. 1.2)
Question 1. A book exhibition was held for four days in a school. The number of tickets sold at the counter on the first, second, third and final day was respectively 1094, 1812, 2050 and 2751. ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8464 | Taiwanese Journal of Mathematics
ENTIRE FUNCTIONS AND THEIR HIGHER ORDER DIFFERENCES
Abstract
In this paper, we prove that for a transcendental entire function $f(z)$ of finite order such that $\lambda(f-a(z))\lt \sigma(f)$, where $a(z)$ is an entire function and satisfies $\sigma(a(z))\lt 1$, $n$ is a positive inte... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8466 | P. Lisonek,
Combinatorial families enumerated by quasi-polynomials.
Journal of Combinatorial Theory Ser. A 114 (2007), 619-630.
We say that the sequence $(a_n)$ is quasi-polynomial in $n$ if there exist polynomials $P_0,...,P_{s-1}$ and an integer $n_0$ such that, for all $n\ge n_0$, $a_n=P_i(n)$ where $i\equiv n\pmod... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8467 | 4k views
A function $f(x)$ is continuous in the interval $[0,2]$. It is known that $f(0) = f(2) = -1$ and $f(1) = 1$. Which one of the following statements must be true?
1. There exists a $y$ in the interval $(0,1)$ such that $f(y) = f(y+1)$
2. For every $y$ in the interval $(0,1)$,$f(y)$ = $f(2-y)$
3. The maximum va... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8468 | 1. ## Couting Techniques
How many distinct Permutations of the letters of the word OTTAWA begin and end with the letter T?
2. Originally Posted by wikji
How many distinct Permutations of the letters of the word OTTAWA begin and end with the letter T?
This is the same as asking how many distinct permutations are ther... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8469 | # Why can't we multiply two Laurent series
Wikipedia claims that Laurent series cannot in general be multiplied. I am wondering why not? Suppose we have $$f(z),g(z)$$ analytic in the annulus: $$r<|z-a|, then $$f(z)=\sum_{n=-\infty}^\infty c_n(z-a)^n$$ is the Laurent series of $$f(z)$$ in the annulus, and $$g(z)=\sum_{... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8470 | # Probability of A given B & C?
I would like to sum the probability that given 3 (potentially biased) die rolls, all 3 rolls will be different-- what is the correct way to do this?
So far, I have: $$1 - \sum_{i=1}^{6}\sum_{j=1}^{6} \left( P(d_i \mid d_i\cap d_j) + P(d_j\mid d_i\cap d_j) \right)$$ I am pretty sure thi... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8471 |
Lemma 10.60.4. Noetherian Jacobson rings.
1. Any Noetherian domain $R$ of dimension $1$ with infinitely many primes is Jacobson.
2. Any Noetherian ring such that every prime $\mathfrak p$ is either maximal or contained in infinitely many prime ideals is Jacobson.
Proof. Part (1) is a reformulation of Lemma 10.34.6.... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8475 | # Something like Yoneda's lemma
This is inspired by The Whitehead for maps question.
Consider two maps f, g: X\to Y which happen to induce the same maps (of discrete spaces) [Z, X] \to [Z, Y] for every Z. Does this mean f and g are homotopic?
And what would be the lessons from the answer to this question? I feel lik... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8476 | # Local mean value property?
$\textbf{Meanvalue property}:$ Let $G\subseteq \mathbb{C}$ be open and assume that $\overline{K(a,\rho)}\subseteq G$. We say that a harmonic function $h:G\to \mathbb{R}$ posseses the mean value property if $$h(a)=\int_{0}^{2\pi}h(a+\rho e^{i\theta})d\theta$$
$\textbf{Converse to mean valu... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8478 | Tutorials
python
+4
# Demystifying Mathematical Concepts for Deep Learning
Explore basic math concepts for data science and deep learning such as scalar and vector, determinant, singular value decomposition, and more.
Data science is an interdisciplinary field that uses mathematics and advanced statistics to make pr... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8473 | # Precalculus : Determine the Polar Equation of a Graph
## Example Questions
### Example Question #134 : Polar Coordinates And Complex Numbers
Which polar equation would produce this graph?
Explanation:
This is the graph of a cardiod. Based on its orientation where the cusp [pointy part] is on the y-axis, it is a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8474 | zbMATH — the first resource for mathematics
On 3-colorable planar graphs without cycles of four lengths. (English) Zbl 1185.05061
Grötzsch’s Theorem states that planar graphs without 3-cycles are (vertex) 3-colorable. R. Steinberg conjectured that every planar graph without 4- or 5-cycles is 3-colorable, and P. Erdős ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8477 | # What is the standard form of a polynomial (4x - 1)(3x + 2)?
Mar 23, 2016
$\textcolor{b l u e}{12 {x}^{2} + 5 x - 2}$
#### Explanation:
We can use distributive property of real numbers,
$\left(a + b\right) \left(c + d\right) = a c + a d + b c + b d$
FOIL Method is applicable in this kind of problem,
(FIRST, OUTE... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8479 | # Difference between revisions of "Sliding motion along a frictionless inclined plane"
This article discusses a scenario/arrangement whose statics/dynamics/kinematics can be understood using the ideas of classical mechanics.
View other mechanics scenarios
The brown triangle is the fixed inclined plane and the black bl... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8465 | Formats
Format
BibTeX
MARC
MARCXML
DublinCore
EndNote
NLM
RefWorks
RIS
### Abstract
Generalised extreme value models provide an interesting theoretical framework to develop closed-form random utility models. Unfortunately, few instances of this family are to be found as operational models in practice. The form of the... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_8472 | # 8.1 - A Definition
8.1 - A Definition
## Example 8-1
Toss a fair, six-sided die many times. In the long run (do you notice that it is bolded and italicized?!), what would the average (or "mean") of the tosses be? That is, if we have the following, for example:
1 3 2 4 5 6 5 4 4 1 2 3
2 1 3 6 4 5 5 4 3 1 6 6
2 5 3... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13232 | # If $\|p-q\|<{1\over2}$ then $p$ is homotopy equivalent to $q$
Let $A$ be a $C^*$ algebra, $p,q \in A$ projections, such that $\|p-q\|< {1 \over 2}$. Show that $p$ homotopy equivalent to $q$.
Proof. Let $a_t=(1-t)p+tq$, then $a_t$ is positive (self-adjoint with positive spectrum) and $||a_t||\leq1.$ Moreover, $\|a_t... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13233 | # How to find factors when factoring
I'm going to be a TA in an introductory course in mathematics at a technical university this fall, focusing on mathematics that the students should already be familiar with but that might need refreshing before the courses in linear algebra and calculus start.
One of the things in... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13234 | ItsNear's blog
By ItsNear, 6 years ago, ,
Square and Rectangles
Author: SkidanovAlex
What happens if the rectangles form an N × N square? Then these two conditions are necessary.
1) The area must be exactly N × N.
2) The length of its sides must be N. That means, the difference between the right side of the right... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13235 | # Double integral question
1. Jun 14, 2008
### math_04
1. The problem statement, all variables and given/known data
Consider the integral shown in the sketch. Sketch the region of integration and express the integral with the reverse order of integration and evaluate it leaving your answer in surd form
2. Relevant... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13236 | # The matrix
Algebra Level 5
$\left\{\begin{matrix} ax+by+cz=d\\ ex+fy+gz=h\\ jx+ky+lz=m \end{matrix}\right.$
Let's say there is a system of three equations with variables $$x, y, z$$ as above.
What is the minimum number of coefficients (denoted by letters $$a,b,c,e,f,g,j,k,l$$) that must be zero such that the syst... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13237 | # Half round half square parentheses
Given a real random variable X, to express the probability
\Pr[X = a]/2 + \Pr[X \in (a,b)] + \Pr[X = b]/2
It could be convenient to just write
\Pr[X \in \{a,b\}]
where \{ and \} are special parentheses symbols. I imagine these graphically as half-round (top part) half-square ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13239 | # Construct the Overlap Graph of a Collection of k-mers solved by 856
July 29, 2015, 1:03 a.m. by Rosalind Team
In this chapter, we use the terms prefix and suffix to refer to the first k − 1 nucleotides and last k − 1 nucleotides of a k-mer, respectively.
Given an arbitrary collection of k-mers Patterns, we form a ... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13240 | ## Change of basis for linear maps and bilinear forms
dear professor,
when I read the note, I find these problems, hope you do not mind
————————————————————————————
1. in page 40, at the end of 4.1.100 proposition, you wrote “and for any linear map $T:V \rightarrow V$ we have $\left[T\right]_C= M^{-1}\left[T\right]_... |
MathCode-Pile_decontaminated_orig_math-related_devided_processed_train-00003-of-00114-e7fc257ef044bc03_doc_13241 | # Difference between revisions of "User:Timothee Flutre/Notebook/Postdoc/2011/06/28"
Project name <html><img src="/images/9/94/Report.png" border="0" /></html> Main project page
Next entry<html><img src="/images/5/5c/Resultset_next.png" border="0" /></html>
## Simple linear regression
• Data: Let's assume that we ob... |
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