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# Sequences Help
1. Nov 9, 2006
### JasonJo
let f,g be continous functions from R to R and suppose that f(x)=g(x) for all rational points. prove that f(x)=g(x) for all x in R.
- i said that we know that since given any real number c, there exists a rational sequence (xn) such that xn converges to c, therefore we con... | HuggingFaceTB/finemath | |
### Contest Math I Combinatorics is the study of counting. Mathematicians who study combinatorics develop techniques to count outcomes, arrangements, and combinations of objects. These counting strategies can be applied to many different areas in mathematics, like probability, algebra, and geometry.
Competitive combin... | HuggingFaceTB/finemath | |
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*Eng-Tips's functionality depends on members receiving e-mail. By jo... | HuggingFaceTB/finemath | |
### Calculus Fundamentals
The physical world is changing all the time: cars accelerate, planets move around the sun, economies fluctuate. In order to study these changing quantities, a new set of tools was developed in the 17th century. Calculus is the mathematical study of things that change. Calculus can be tricky, ... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from deciliters to tablespoons is 6.762804511761, which means that 1 deciliter is equal to 6.762804511761 tablespoons:
1 dL = 6.762804511761 tbsp
To convert 1078 deciliters into tablespoons we have to multiply 1078 by the conversion factor in order to get the volume amount... | HuggingFaceTB/finemath | |
# The Franklin Written Arithmetic, with Examples for Oral Practice
Butler, White, & Butler, 1878
### Contents
READING AND WRITING NUMBERS 1 ADDITION 12 SUBTRACTION 20 MULTIPLICATION 65 FACTORS 75 MULTIPLES 83 64 160 METRIC SYSTEM 172
84 209 85 215 Addition 224 Division 231 To find what Fraction 241 Aliquot Parts 2... | HuggingFaceTB/finemath | |
By Theorem [thm:T2] we have $\det (A^T)=\det (C^T)\cdot \det (E_m^T)\cdot \dots \cdot \det (E_2^T)\cdot \det(E_1).$ By (5) of Example [exa:EX1] we have that $$\det E_j=\det E_j^T$$ for all $$j$$. 4. See 1 and 2 for more properties. The case $$n=1$$ does not apply and thus let $$n \geq 2$$. Since it is in reduced row-ec... | HuggingFaceTB/finemath | |
Published on: 2024-01-10
Last updated on: 2024-02-13
Word Count: 1500
7 min
Statistics can often look intimidating with its complex aspects of probability and data analysis. So, statistics homework can be challenging whether you’re dealing with the basic probability questions or advanced statistical models. If you ... | HuggingFaceTB/finemath | |
# 96104 (number)
96,104 (ninety-six thousand one hundred four) is an even five-digits composite number following 96103 and preceding 96105. In scientific notation, it is written as 9.6104 × 104. The sum of its digits is 20. It has a total of 5 prime factors and 16 positive divisors. There are 46,720 positive integers ... | HuggingFaceTB/finemath | |
### Math is fun adding exponents
For nested parentheses or brackets, solve the innermost parentheses or bracket expressions first and work toward the outermost parentheses. Get a Widget for this Calculator. If I come up with a positive result, I'll know I've done something wrong. Glenwood Public School 73, views. Answ... | HuggingFaceTB/finemath | |
## § Sylow Theorem 1
I've always wanted a proof I can remember, and I think I've found one.
• Let $G$ be a group such that $|G| = p^n m$ where $p$ does not divide $m$.
• We start by considering the set of all subsets of $G$ of size $p^n$. Call this set $\Omega$.
• We will prove the existence of a special subset $S \su... | HuggingFaceTB/finemath | |
# Algebraic manipulation
Im dealing with an equation of the form:
$$T(n)=2T(\sqrt n)+\log n$$
Letting $m=\log n$ we have:
$$T(2^m)=2T(2^{m/2}) + m$$
How did we go from $\sqrt n$ to $2^{m/2}$?
Taking into consideration that $2^m = 2^{\log n}$, I know that $\sqrt n = \sqrt 2^{\log(n)}$ but that wouldn't get rid of ... | HuggingFaceTB/finemath | |
(Sample Printed worksheet)
1)At what point does line represented by the equation 4x + 5y = 7 intersects a line which is parallel to the x-axis, and at a distance 1 units from the origin and in the negative direction of y-axis.
2) An internet service provider charges \$ 1.4 for the first minute and \$ 0.9 per minute f... | HuggingFaceTB/finemath | |
# Thread: need help with differential (problem based)
1. ## need help with differential (problem based)
The formula [tex] \frac{dT}{dt}=k(T-Tm)[/math] where k is a constant of proportionality also holds when an object absorbs heat from the surrounding medium. If a small metal bar whose initial temperature is 20oC is ... | HuggingFaceTB/finemath | |
# Locally cyclic group
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
This article defines a group property: a property that can be evaluated to true/false for any given group, invariant under isomorphism
View a complete list of group properties
VIEW RELATED: Group property implications | G... | HuggingFaceTB/finemath | |
# Finding $\lim_{x \to - \infty} \left( \frac{1 - x^{3}}{x^{2} + 7 x} \right)^{5}$.
I have to evaluate the following limit: $$\lim_{x \to - \infty} \left( \frac{1 - x^{3}}{x^{2} + 7 x} \right)^{5}.$$ What I did was to divide both the numerator and the denominator of the expression inside the parentheses by $\dfrac{1}{... | HuggingFaceTB/finemath | |
• # question_answer Meera went to a park 150 m long and 80 m wide. She took on complete round of its boundary. What is the distance covered by her?
Let ABCD is a park whose lengths are BC, AD and widths are AB, CD, respectively. Hence, AB = CD = 80 m. and BC = DA = 150m Now, the sum of the lengths of four sides $=AB+B... | HuggingFaceTB/finemath | |
Distances, Clustering, and Classification. Heatmaps
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1 Distances, Clustering, and Classification Heatmaps 1
2 Distance Clustering organizes things that are close into groups What does it mean for two genes to be close? What does it mean for two samples... | HuggingFaceTB/finemath | |
homechevron_rightStudychevron_rightMathchevron_rightAlgebra
# Factoring trinomials
This is factoring trinomials calculator, in other words, the calculator which can factor trinomials given the three terms of the trinomial.
A trinomial is a polynomial consisting of three terms. Typical trinomials which appear in math... | HuggingFaceTB/finemath | |
Home > Informal Classroom Notes > Information Geometry – Fisher Information Matrix (Lecture 4)
## Information Geometry – Fisher Information Matrix (Lecture 4)
As we will see in subsequent lectures, the Fisher Information Matrix plays an important role in information geometry.
### Definition and Example
Associated w... | HuggingFaceTB/finemath | |
# Compleja:ej-cap1.1
1. Demuestre que el producto de números complejos cumple con la ley asociativa
Sean $$z = a + i b, \quad w = c + i d, \quad s = e + i f \, \quad$$ con $$\quad a,b,c,d,e,f \in \mbox{R}$$
Por demostrar $$(zw)s = z(ws)\,$$
$$(zw)s = [(a + i b)(c + i d)](e + i f) = [(ac - bd) + i (bc + ad)](e + i f... | HuggingFaceTB/finemath | |
# Comparing Positive and Negative Numbers
One of the first things you’ll be able to do with your new knowledge of positive and negative
numbers
is compare them using greater than (>), less than (<), and="" equal="" to="" (=")." we’ve="" used="" these="" signs="" in="" the="" past="" to="" compare="" positive="" whole=... | HuggingFaceTB/finemath | |
## 05 November 2007
### An implication of the St. Petersburg paradox
Many of you are probably familiar with the St. Petersburg paradox. This is the following paradox. I offer to play the following game with you: I will flip a fair coin repeatedly until it comes up heads. If the first time it comes up heads is on the ... | HuggingFaceTB/finemath | |
+0
+1
38
1
Sorry, I have no clue why the computer writes the equations this way but I'm pretty sure when there is a \ like for this exaple question question V=\frac{4}{3}\pi r^3 it is NOT a division sign I got confused on that for a sec so when it shows that before pi it doesn't mean divide by pi, just saying. Sorry ... | HuggingFaceTB/finemath | |
It is currently 18 Oct 2017, 23:05
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
we will pick new questions that match your level based o... | HuggingFaceTB/finemath | |
# Similar Solid Numbers have Same Ratio as between Two Cubes
## Theorem
In the words of Euclid:
Similar solid numbers have to one another the ratio which a cube number has to a cube number.
## Proof
Let $a$ and $b$ be similar solid numbers.
From Between two Similar Solid Numbers exist two Mean Proportionals, ther... | open-web-math/open-web-math | |
July 7, 2022
How To Work Out The Surface Area Of A Cuboid. Area of the room = sum of the vertical faces a = 2(l + b)h where, a = area of the cuboid l = length b = base h = height. We can also label the length (l), width (w), and height (h) of the prism and use the formula, sa=2lw+2lh+2hw, to find the surface area.
We... | HuggingFaceTB/finemath | |
# Physics Pendulum problem!!?
A mass m = 4.8 kg hangs on the end of a massless rope L = 2.07 m long. The pendulum is held horizontal and released from rest.
1. How fast is the mass moving at the bottom of its path?
2. What is the magnitude of the tension in the string at the bottom of the path?
3. If the maximum te... | HuggingFaceTB/finemath | |
# Proof of 4.3.12 in Liu: dimension of fiber and flatness
I don't understand a detail in the proof of theorem 4.3.12 in Liu: we have a flat morphism $f:X\to Y$ of locally Noetherian schemes, $x\in X$ and $y=f(x)$. We want to proove that $\dim\mathcal{O}_{X_y,x}=\dim\mathcal{O}_{X,x}-\dim\mathcal{O}_{Y,y}$.
First one ... | open-web-math/open-web-math | |
# Homework Help: Probability of choosing stale donuts out of 24
Tags:
1. Sep 2, 2016
### TheSodesa
1. The problem statement, all variables and given/known data
There are 6 stale donuts in a set of 24. What is the probability of:
a) there being no stale donuts in a sample of 10?
b) there being 3 stale donuts in a sam... | HuggingFaceTB/finemath | |
Definitions
# Percent Sign% | Definition of Percent Sign, The Importance of Percentage Sign % by Marketing2Business
## What is % Percentage?
Percentage(%) can define as the process of expressing a proportion, that is, the ratio between a pair and a whole. We always use the number 100 to establish this proportion. We... | HuggingFaceTB/finemath | |
## Mayan Numbers
In the previous blog, we looked at how the numbers we use in mathematics were formed using the decimal number system. In this system, we use multipliers of ten to define the positions for the number’s digits. There are other number systems that used multipliers of twenties instead of tens. This vigesi... | HuggingFaceTB/finemath | |
# night shift jobs scarborough
Permutation and combination are the ways to represent a group of objects by selecting them in a set and forming subsets. It becomes even worse when it comes to calculate permutations for large values. k Finally, 9 is larger than all the remaining elements to its right, so the last cycle ... | HuggingFaceTB/finemath | |
It will work for Suppose P = 53 and Q = 59. Let the number be called as e. Calculate thed. Not be a factor of n. 1 < e < Φ(n) [Φ(n) is discussed below Right now we require (p, q, d, dmp1, dmq1, iqmp, e, n). Coding, mathematics, and – p and q should come out of a “random” process (i.e., notp q Well, they can't Calculate... | HuggingFaceTB/finemath | |
Prove (0,1)=[0,1]
by kathrynag
Tags: prove
P: 179 kathrynag already stated a bijection between (0, 1) and (0, 1] in the very first post of this thread. (It doesn't take too much effort from that to conclude there is a bijection between (0, 1) and [0, 1].) Her problem is showing that it is one-to-one and onto. I sugge... | HuggingFaceTB/finemath | |
## Squarefree factors
### Problem 362
Consider the number 54.
54 can be factored in 7 distinct ways into one or more factors larger than 1:
54, 2×27, 3×18, 6×9, 3×3×6, 2×3×9 and 2×3×3×3.
If we require that the factors are all squarefree only two ways remain: 3×3×6 and 2×3×3×3.
Let's call Fsf(n) the number of ways n ... | HuggingFaceTB/finemath | |
# Q. Respected Sir/Madam; Sketch the graph of `y=sin^2x + 2cos^2x`
embizze | High School Teacher | (Level 1) Educator Emeritus
Posted on
Sketch the graph of `y=sin^2x+2cos^2x` :
We can rewrite the right hand side:
`y=sin^2x+cos^2x+cos^2x` Use the Pythagorean relation:
`y=1+cos^2x`
So we take the values of cosx, ... | HuggingFaceTB/finemath | |
• I don’t know a lot about healthcare.gov’s inner workings, so maybe the following is incorrect. With one caveat, which I mention below, it passed a vetting on Twitter (FWIW).
• “The internal 80 percent target is the basis of a promise that has become an administration mantra in recent weeks: HealthCare.gov will ‘work... | HuggingFaceTB/finemath | |
# What is difference between standard deviation and Z-score?
I have read several explanations of standard deviation and z-score, I know how to it calculate them but I am not sure what is differences betwen them.
Can someone explain it to me? When is suitable to use stdev and when z-score?
• From here it follows that... | HuggingFaceTB/finemath | |
Find all School-related info fast with the new School-Specific MBA Forum
It is currently 04 May 2015, 06:23
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
C... | HuggingFaceTB/finemath | |
How do you convert dimensions into inches?
How do you convert dimensions into inches?
As an example, let’s say you have a piece of wood measuring 50cm and you want to convert it into inches. To get your answer, divide your cm figure by 2.54. So, 50 รท 2.54 = 19.685 inches.
How do you convert dimensions to centimeter... | HuggingFaceTB/finemath | |
# Video: Evaluating Limits of Polynomials at Infinity
Consider the function 𝑓(𝑥) = 1/(2 + 𝑥), Find the power series for 𝑓(𝑥). Identify its interval of convergence.
06:53
### Video Transcript
Consider the function 𝑓 of 𝑥 is equal to one divided by two plus 𝑥, find the power series for 𝑓 of 𝑥. Identify its ... | HuggingFaceTB/finemath | |
## Relationship between L^p convergence and a.e. convergence
It turns out that convergence in Lp implies that the norms converge. Conversely, a.e. convergence and the fact that norms converge implies Lp convergence. Amazing!
Relationship between $L^p$ convergence and a.e. convergence:
Let $f, \{f_k\}\in L^p$, $0. If ... | open-web-math/open-web-math | |
# How do you calculate investment ratio?
Contents
The first version of the ROI formula (net income divided by the cost of an investment) is the most commonly used ratio. The simplest way to think about the ROI formula is taking some type of “benefit” and dividing it by the “cost”.
## What is ROI formula?
Return on ... | HuggingFaceTB/finemath | |
Hints for Lab 4
Topological Sort:
Colors translate to states of visiting an object. Say blue means unvisited and yellow means visited and red means processing a visit (an object is not visited until it is output in order). Thus, we may want to mark objects as unvisited, visited, or being visited. The matlab implement... | HuggingFaceTB/finemath | |
MAT 237 Y
MULTIVARIABLE CALCULUS
COURSE 2005-2006
SAMPLES OF PREVIOUS YEAR'S TESTS
TEST #1. COURSE 2004-2005.
1. Consider the points A ( 1 , 1 , 2 ) , B ( 3 , 2 , 0 ) , C ( 0 , 2 , 1 ) and D ( 5 , 6 , 7 ) .
Let L be the line that passes through the points A and B .
Let S be the plane that passes t... | HuggingFaceTB/finemath | |
I was playing with a variant of my Containers of Water question where we were instead interested in solid weights on a scale. It occurred to me that, as is often the case, I should consider easier problems first and see what comes of them. Ultimately, this led me down a path towards the idea of a ‘perfect partition’ an... | HuggingFaceTB/finemath | |
# Kinematics 1D - - PowerPoint PPT Presentation Download Presentation Kinematics 1D -
Kinematics 1D -
Download Presentation ## Kinematics 1D -
- - - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - - -
##### Presentation Transcript
1. Kinematics 1D - Motion - T... | HuggingFaceTB/finemath | |
# Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.13
## Tamilnadu Samacheer Kalvi 11th Maths Solutions Chapter 11 Integral Calculus Ex 11.13
Choose the correct or most suitable answer from given four alternatives.
Question 1.
If $$\int f(x) d x$$ = g(x) + c, then $$\int f(x) g^{\prime}(x) d x$... | HuggingFaceTB/finemath | |
# How do you use PEMDAS to simplify 4+3(12-9)?
Jan 22, 2016
$13$
#### Explanation:
PEMDAS means -
P = Parenthesis (brackets)
E = Exponents
M = Multiply
D = Divide
$4 + 3 \left(12 - 9\right)$
$4 + 3 \times 3$
$4 + 9$
$13$ | HuggingFaceTB/finemath | |
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# Search results
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## Refine by topic
Main topic Specific topic Related topic
Liste... | HuggingFaceTB/finemath | |
# Texas Mathematics Teacher Spring/Summer 2018 - 19
```What Can Elementary Teachers Do with Technology? There's an App for That
Secondly, imagine a third or fourth grade teacher
exploring the sum of 2,164 and 3,799. Students are required
to compose numbers in concrete ways that connect to the
abstract vertical algori... | HuggingFaceTB/finemath | |
# What does it mean when acceleration is non zero?
## What does it mean when acceleration is non zero?
Mathematically, zero acceleration means no acceleration: velocity is not changing. So nonzero acceleration means non-stop acceleration: velocity is always changing. Rotation is considered a form of acceleration, and... | HuggingFaceTB/finemath | |
## University Calculus: Early Transcendentals (3rd Edition)
At $x=2$, $y'=-5$.
We have $y=f(g(x))$, $f'(3)=-1$, $g'(2)=5$ and $g(2)=3$. According to the Chain Rule: $$y'=(f(g(x)))'=f'(g(x))\times g'(x)$$ At $x=2$: $$y'(2)=f'(g(2))\times g'(2)$$ We have $g(2)=3$ and $g'(2)=5$: $$y'(2)=f'(3)\times5$$ Finally, we have $f... | HuggingFaceTB/finemath | |
DEV Community
Mahendran
Posted on • Updated on • Originally published at mahendranv.github.io
Electronic store problem - Hackerrank - Kotlin solution - elimination approach
Introduction
Problem definition is available here
Our goal is to compute the costly pair of keyboard & drive we can get from the the store, g... | HuggingFaceTB/finemath | |
Data Interpretation :: Line Chart
Home > Data Interpretation > Line Chart > General Questions
NA
SHSTTON
10
Solv. Corr.
1
Solv. In. Corr.
11
Attempted
0 M:0 S
Avg. Time
1 / 40
Exports of a country in crores in the different months of the year 2000 - 2001 and 2001 - 2002.
Question: In which month of both the years t... | HuggingFaceTB/finemath | |
# What is overheads absorption rate (OAR)
Overheads absorption rate (OAR) is a pre-determined rate used for absorbing the production overheads into the cost of a product. The following bases can be used for the absorption of overheads into the cost of a product:
• Production volume (units)
• Labour hours (for labor-i... | HuggingFaceTB/finemath | |
Discover a lot of information on the number 9839: properties, mathematical operations, how to write it, symbolism, numerology, representations and many other interesting things!
## Mathematical properties of 9839
Is 9839 a prime number? Yes
Is 9839 a perfect number? No
Number of divisors 2
List of dividers 1, 9839
Su... | HuggingFaceTB/finemath | |
# 6.2: Dislocation Basis of Yield and Creep
$$\newcommand{\vecs}[1]{\overset { \scriptstyle \rightharpoonup} {\mathbf{#1}} }$$
$$\newcommand{\vecd}[1]{\overset{-\!-\!\rightharpoonup}{\vphantom{a}\smash {#1}}}$$
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$
( \newcommand{\kernel}{\mathrm{nu... | HuggingFaceTB/finemath | |
# Integer War Game
Submitted by Era
## Integer War Game
#### Objectives:
In this lesson, students will:
• Learn how to add integers (2 or more integers together)
• Learn how to subtract integers
• Learn how to multiply integers
Session time: (50 minutes) but can be continued for several days introducing new concept... | HuggingFaceTB/finemath | |
# Question: How do you calculate the RPM of a DC gear motor?
Contents
## How do you find the RPM of a DC motor?
You can approximate the rpm of a DC motor by following the steps below:
1. Put a mark on the shaft.
2. Run the motor at full voltage and simultaneously start a 10 second timer in your phone.
3. Observe ho... | HuggingFaceTB/finemath | |
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Get original paper in 3 hours and nail the task
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Whats wrong with the Detroit Lions?... | HuggingFaceTB/finemath | |
## How To Calculate The Magnification Of A Telescope? (TOP 5 Tips)
It is equal to the product of the focal length of the telescope divided by the focal length of the eyepiece. As a matter of thumb, the maximum usable magnification of a telescope is 50 times the aperture in inches of the telescope (or twice its apertur... | HuggingFaceTB/finemath | |
# Induction principle for verifying divisibility
I am stuck on one question: Show that $8^n-3^n$ is divisible by $5$.
Thank you
-
What have you tried? Try factoring. – Graphth Mar 13 '12 at 2:41
I'm agree with Graphth – Ali Amiri Apr 8 '12 at 15:58
In order to receive help, it is always best form to show what you ... | HuggingFaceTB/finemath | |
## Introduction
• Basic Electrical Parameters
• Potential Difference (V or E)
• Current (I)
• Conductance (g)
• Capacitance (C)
• Rules for Circuit Analysis
• Conductance
• Current
• Capacitance
• Potential Difference
• Current in Circuits with Capacitance
• Circuit with Capacitor
• Circuit with Resistor a... | HuggingFaceTB/finemath | |
# binary logistic regression lecture 9
Post on 03-Jun-2018
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## Documents
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• 8/12/2019 Binary Logistic Regression Lecture 9
1/33
Binary Logistic Regression
• 8/12/2019 Binary Logistic Regression Lecture 9
2/33
Binary Logistic RegressionThe test you choose depends ... | HuggingFaceTB/finemath | |
# F TO C
### The answer is: 260 degrees Celsius or 260° C
Let's look into the conversion between Fahrenheit and Celsius scales in detail.
### Calculate 500° Fahrenheit to Celsius (500F to °C)
Fahrenheit
Celsius
500 Degrees Fahrenheit = 260 Degrees Celsius
Temperature Conversion - Degrees Fahrenheit into Degrees Ce... | HuggingFaceTB/finemath | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 22 Jun 2018, 11:50
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customize... | HuggingFaceTB/finemath | |
# What is the compound interest on $42041 at 22% over 20 years? If you want to invest$42,041 over 20 years, and you expect it will earn 22.00% in annual interest, your investment will have grown to become $2,243,208.55. If you're on this page, you probably already know what compound interest is and how a sum of money c... | HuggingFaceTB/finemath | |
# SBI PO Prelims Quantitative Aptitude Questions 2019 – Day 19
SBI PO 2019 Notification will be expected soon. It is one of the most expected recruitment among the banking aspirants. Every year the exam pattern for SBI PO has been changing. Depends upon the changing of exam pattern the questions are quite harder compa... | HuggingFaceTB/finemath | |
# Summary for Probability
```Summary of Probability
Probability: Likelihood of an Event occurring
𝑃(𝐸) =
#𝑡𝑖𝑚𝑒𝑠 𝑒𝑣𝑒𝑛𝑡 𝐸 𝑜𝑐𝑐𝑢𝑟𝑠
#𝑎𝑙𝑙 𝑝𝑜𝑠𝑠𝑖𝑏𝑙𝑒 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑒𝑣𝑒𝑛𝑡𝑠
Not P(E) is probability that P(E) will not occur.
Not P(E)=1 – P(E)
Mutually Exclusive events: Cannot happen at once... | HuggingFaceTB/finemath | |
My Math Forum calculate width and height
Algebra Pre-Algebra and Basic Algebra Math Forum
December 31st, 2011, 09:36 AM #1 Newbie Joined: Oct 2011 Posts: 17 Thanks: 0 calculate width and height I need to know the width and height of the green line. For the width in this case it will be negative, but it depends on... | HuggingFaceTB/finemath | |
Evaluating the closed contour integral $\int_\gamma\frac{e^{-\sqrt{z}}}{(z-b)^{k+1}}dz$
I'm hoping to evaluate the contour integral
$$\int_\gamma\frac{e^{-\sqrt{z}}}{(z-b)^{k+1}}dz$$
for $b > 0$, $k\in{\bf Z}_+$ and $\gamma$ a closed contour of the reader's choice which contains $b$.
My complex analysis is really r... | HuggingFaceTB/finemath | |
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Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A162660 Triangle read by rows, the coefficients of the complementary Swiss-Knife polynomials. 6
0, 1, 0, 0, 2, 0, -2, 0, 3, 0, 0, -8, 0, 4, 0, 16, 0, -20, 0, 5, 0, 0, 96, 0, -40, 0, 6, 0... | HuggingFaceTB/finemath | |
# Maximums of two exponentials
The wikipedia page for the exponential distribution states that for $$X_1, X_2, \dots X_n$$ independent exponentially distributed with rate parameters $$\lambda_1,\lambda_2,\dots,\lambda_n$$, the index of the variable which achieves the minimum is distributed according to the law
$$\Pr(... | HuggingFaceTB/finemath | |
Chapter 5, Problem 108SCQ
Chapter
Section
Textbook Problem
Water can be decomposed to its elements, H2 and O2, using electrical energy or in a series of chemical reactions. The following sequence of reactions is one possibility:CaBr2(s) + H2O(g) → CaO(s) + 2 HBr(g)Hg(ℓ) + 2 HBr(g) → HgBr2(s) + H2(g)HgBr2(s) + CaO(... | HuggingFaceTB/finemath | |
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AS Physics - Photoelectric Effect Help Please Watch
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1. 1) A modern 200 Watt sodium street lamp emits yellow light of wavelength 0.6 micrometers. Assuming it is 25 per cent efficient in converting electrical energy to light, calculate the number of photons of yellow light pe... | HuggingFaceTB/finemath | |
# Difference Between Period vs Frequency
We all deal with time on a daily basis whether it is consciously or unconsciously. It is the continuous and irreversible occurrence of events. Despite being applied generally in all events, this phenomenon is applied a little differently in scientific concepts for a more unique... | HuggingFaceTB/finemath | |
# 5.7.1 The Straight Line, SPM Paper 2
Question 1:
In diagram below, ABCD is a trapezium drawn on a Cartesian plane. BC is parallel to AD and O is the origin. The equation of the straight line BC is 3y = kx+ 7 and the equation of the straight line AD is $y=\frac{1}{2}x+3$
Find
(a) the value of k,
(b) the x-intercept ... | open-web-math/open-web-math | |
# What is the relationship between power and resistance?
75 views
What is the relationship between power and resistance?
Resistace hinders the flow of curent and causes a voltage drop , thus power loss at the resistive area hence power is dissipated.
P = I2R
Where P = power
I = Current
R = Resistan... | HuggingFaceTB/finemath | |
# Why does $e^{-x}$ integrate to $1$ in interval $(0, \infty)$?
My question is relatively elementary, but I haven't been able to find any clear explanations despite searching online so I decided to ask my own question.
I've always learned that
$$\int_{0}^{\infty}e^{-x}dx = \int_{-\infty}^{0}e^xdx = 1$$
but I would ... | HuggingFaceTB/finemath | |
# Subgoals
## Section2.24Expressions-WE8-P1
### Subgoals for evaluating an assignment statement.
1. Determine resultant data type of expression
2. Update variable for pre operators based on side effect
3. Solve arithmetic equation, operator precedence
4. Is the Left Hand Side (LHS) of the assignment statement a vari... | HuggingFaceTB/finemath | |
Derivative of e^(x) evaluated at e
1. Sep 17, 2007
gbn_jio
1. The problem statement, all variables and given/known data
Consider the function f(x)=e^(x). Which of the following is equal to f'(e)? Note that there may be more than one
a)
Lim (e^(x+h))/h
h->0
b)
Lim (e^(x+h)-e^(e))/h
h->0
c)
Lim (e^(x+h)-e)/h
h->0
... | HuggingFaceTB/finemath | |
# Work done lifting an object underwater
1. Sep 11, 2008
### faella
hi!
I have a question regarding work done lifting an object vertically upwards, under water.
I am aware that work is done against hydrostatic pressure (which varies depending on a depth h from the surface), and that density of the fluid and the obj... | open-web-math/open-web-math | |
SEARCH HOME Math Central Quandaries & Queries Question from Jean, a teacher: An animal clinic wants to construct a kennel with 3 individual pens, each with a gate 4 feet wide and an area of 90 square feet. The fencing does not include the gates. Write a function to express the fencing as a function of x. Find the d... | HuggingFaceTB/finemath | |
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Monday
May 2, 2016
Homework Help: Statistics
Posted by BadatStat on Tuesday, July 3, 2012 at 6:22am.
A game at the state fair has a "guesser" guess the month of your birth. You win a prize if he misses your month by more than 2 months (for ex: if you were born in April, and he guesses February, he wins; if he guesse... | HuggingFaceTB/finemath | |
# Statistics - Central limit theorem (CLT)
The central limit theorem (CLT) is a probability theorem (unofficial sovereign)
It establishes that when:
The first version of this theorem was postulated by the French-born mathematician Abraham de Moivre who, in a remarkable article published in 1733, used the normal dist... | HuggingFaceTB/finemath | |
# 36 percent off 33
### Inputs?Please change the values of the two first boxes below and get answers to any combination of values.
Original price: \$
Discount percentage: %
Discount:
Final Price:
### Details
✅How to calculate 36 percent-off \$33. How to figure out percentages off a price. Using this calculator yo... | HuggingFaceTB/finemath | |
# Thread: Question to Pell Equation
1. ## Question to Pell Equation
Let $x,y,d \in \mathbb{N}$. For fixed $d > 0$ we want to find solution pairs $(x,y)$ to the equation $x^2-dy^2=1$.
Assume we have already found the solution $(x_1,y_1)$ so that any other solution $(x,y)$ has $y_1 < y$.
Show that any pair $(x_k,y_k)... | HuggingFaceTB/finemath | |
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## Circumradius of Heptagon given short diagonal Solution
STEP 0: Pre-Calculation Sum... | HuggingFaceTB/finemath | |
1. Chapter 4 Class 11 Mathematical Induction
2. Serial order wise
Transcript
Ex 4.1, 7: Prove the following by using the principle of mathematical induction for all n โ N: 1.3 + 3.5 + 5.7 + โฆ + (2n โ 1) (2n + 1) = (๐(4๐2 + 6๐ โ 1))/3 Let P(n) : 1.3 + 3.5 + 5.7 + โฆ + (2n โ 1) (2n + 1) = (๐(4๐... | HuggingFaceTB/finemath | |
# How do I convert specific humidity to relative humidity?
How do I convert specific humidity to relative humidity? What variables are needed (e.g. air temperature, pressure, etc.)?
## 3 Answers
Relative humidity is just $$e/e_s$$, the ratio of the vapor pressure to saturation vapor pressure or $$w/w_s$$, the ratio ... | HuggingFaceTB/finemath | |
# Regularity of unary languages with word lengths the sum of two resp. three squares
I think about unary languages $L_k$, where $L_k$ is set of all words which length is the sum of $k$ squares. Formally: $$L_k=\{a^n\mid n=\sum_{i=1}^k {n_i}^2,\;\;n_i\in\mathbb{N_0}\;(1\le i\le k)\}$$ It is easy to show that $L_1=\{a^{... | HuggingFaceTB/finemath | |
# How do you solve ln y = 2t - 3?
Jan 28, 2016
$y = {e}^{2 t - 3} , t = \frac{\ln y + 3}{2}$
#### Explanation:
Solving for $m a t h b f y$:
To undo the natural logarithm that $y$ is attached to, exponentiate both sides with base $e$. Since exponentiation and logarithms are inverse functions, and $\ln$ is equivalen... | HuggingFaceTB/finemath | |
$$\newcommand{\id}{\mathrm{id}}$$ $$\newcommand{\Span}{\mathrm{span}}$$ $$\newcommand{\kernel}{\mathrm{null}\,}$$ $$\newcommand{\range}{\mathrm{range}\,}$$ $$\newcommand{\RealPart}{\mathrm{Re}}$$ $$\newcommand{\ImaginaryPart}{\mathrm{Im}}$$ $$\newcommand{\Argument}{\mathrm{Arg}}$$ $$\newcommand{\norm}{\| #1 \|}$$ $$\ne... | HuggingFaceTB/finemath | |
# Axiom:Peano's Axioms/Formulation 1
## Axioms
Peano's Axioms are intended to reflect the intuition behind $\N$, the mapping $s: \N \to \N: \map s n = n + 1$ and $0$ as an element of $\N$.
Let there be given a set $P$, a mapping $s: P \to P$, and a distinguished element $0$.
Historically, the existence of $s$ and t... | HuggingFaceTB/finemath | |
## 56565
56,565 (fifty-six thousand five hundred sixty-five) is an odd five-digits composite number following 56564 and preceding 56566. In scientific notation, it is written as 5.6565 × 104. The sum of its digits is 27. It has a total of 5 prime factors and 16 positive divisors. There are 30,096 positive integers (up... | HuggingFaceTB/finemath | |
Mathematical induction
A method of proving mathematical results based on the principle of mathematical induction: An assertion $A(x)$, depending on a natural number $x$, is regarded as proved if $A(1)$ has been proved and if for any natural number $n$ the assumption that $A(n)$ is true implies that $A(n+1)$ is also tr... | HuggingFaceTB/finemath | |
## Saturday, June 18, 2005
### Proof for n=4 using Gaussian Integers
In today's blog, I will show how it is possible to use Gaussian Integers to establish a proof for Fermat's Last Theorem n = 4. Previously, I showed two proofs for this result. I showed a standard proof based on Pythagorean Triples (see here). Also, ... | HuggingFaceTB/finemath |
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