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# Use of Sigma
• Jul 20th 2009, 07:18 PM
jordangiscool
Use of Sigma
I NEED HELPPPPP.....
4
E 6/j^2
j=1
i keep on getting 51/4 whats my mistake?
heres the equation i got s = 4(6+3/8) / 2
• Jul 20th 2009, 07:22 PM
mr fantastic
Quote:
Originally Posted by jordangiscool
I NEED HELPPPPP.....
4
E 6/j^2
j=1
i keep on g... | HuggingFaceTB/finemath | |
# calculus
posted by .
Solve for x: S(0 to x) (t^3-2t+3)dt=4
I got a different answer from the back of the book. The back of the book said that x=1.63052 or x=3.09131. How am I suppose to solve this using a calculator?
• calculus -
I integrated, substituted the x, and simplified to get the following equation
x^4 ... | HuggingFaceTB/finemath | |
Formulas and examples are included. So \$15 + (\$0.45 x 1 day) = \$15.45. ", "I love wikiHow––a solution to my every question. Percentages are used to make car and house payments, calculate tips and pay taxes on goods. You may be asked “what percentage of W is P,” where W is the whole amount and P is the portion amount... | HuggingFaceTB/finemath | |
# Excel nested if statements with ranges
Many people usually asked that how to write an excel nested if statements based on multiple ranges of cells to return different values in a cell? How to nested if statement using date ranges? How to use nested if statement between different values in excel 2013 or 2016?
This p... | HuggingFaceTB/finemath | |
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#### MrCurwen
I was just wondering, how could I calculate the plate load impedance of the attached stage?
#### Attachments
• 6SN7 driver.png
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#### SY
It will depend on the res... | HuggingFaceTB/finemath | |
# C) A boat is in dry dock and water is allowed in until it floats. The volume of water allowed in is metered and found to be 3450 m3. The dry dock is a rectangular shape 80m long and 20 m wide. ............rest of the question in the picture? plz help
Jul 8, 2018
The length of rectangular dock is $80 m$ and it's wid... | HuggingFaceTB/finemath | |
point - Maple Help
geom3d
point
define a point Calling Sequence point(P, Px, Py, Pz) point(P, [Px, Py, Pz]) Parameters
P - the name of the point Px - the x-coordinate Py - the y-coordinate Pz - the z-coordinate Description
• A point is represented as a dot. It has position only, and has no length, width, or th... | HuggingFaceTB/finemath | |
# Diophantine, graph, general solutions
For an equation $$(x^y - y^x)/ (x-y) = z^2$$ has infinitely many solutions $(1, n, 1)$ for $n \in N.$ Apart from this, $$(n, 1, 1), (2, 4, 0), (4, 2, 0), (2, 1, 1), (2, 3, 1), \text{etc}$$ are also solutions of the above equation.
Now, with little modification, $$(x^y+y^x)/ (x+... | HuggingFaceTB/finemath | |
# Thermo-electricity
## Seebeck effect
If a thick iron wire is welded at its ends A and B to two pieces of a thick copper wire and the free ends of the copper wire are connected to a galvanometer, the galvanometer shows a deflection when one of the junction is kept cold and the other is heated. It is found that a cur... | HuggingFaceTB/finemath | |
# Reciprocal Calculator
## What Is a Reciprocal Calculator?
A reciprocal calculator is an online tool that shows the reciprocal of a number or a fraction.
Our reciprocal calculator helps you to find the reciprocal of a fraction within a few seconds.
## How to Use the Reciprocal Calculator?
• Step 1: Enter the nume... | HuggingFaceTB/finemath | |
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Posted: Wed Jun 14, 2017 8:33 am
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Posts: 841
Location: Larisa
Let $\mathcal{H}_n$ denote the $n$-th harmonic number. Prove that forall $... | HuggingFaceTB/finemath | |
# Trigonometric inequality bounded by lines
• Jan 9th 2014, 07:31 PM
abscissa
Trigonometric inequality bounded by lines
How can it be shown that $\displaystyle 16x\cos(8x)+4x\sin(8x)-2\sin(8x)<|17x|$?
This problem arises from work with damped motion in spring-mass systems in Differential Equations. I have gotten to t... | HuggingFaceTB/finemath | |
# Graph Theory: matching question.
In a college dorm two students share a single room. Each student is asked to give two names of preferred roommates. Housing ensures that if a student is on the preferred list of some other student then the second student is also on the preferred list of the first student.
Prove that ... | HuggingFaceTB/finemath | |
# Difference between revisions of "Euler line"
In any triangle $\triangle ABC$, the Euler line is a line which passes through the orthocenter $H$, centroid $G$, circumcenter $O$, nine-point center $N$ and de Longchamps point $L$. It is named after Leonhard Euler. Its existence is a non-trivial fact of Euclidean geomet... | open-web-math/open-web-math | |
# Resources tagged with: Divisibility
Filter by: Content type:
Age range:
Challenge level:
### There are 55 results
Broad Topics > Properties of Numbers > Divisibility
##### Age 11 to 14Challenge Level
Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisib... | HuggingFaceTB/finemath | |
Want to share your content on R-bloggers? click here if you have a blog, or here if you don't.
It’s a lovely day. I took a walk around the campus after lunch. The scene was enjoyable in one deep autumn day. Before the afternoon work, I’d like to spend a few moments on the 24th Euler Problem.
A permutation is an order... | HuggingFaceTB/finemath | |
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Posts
## Schanuel’s conjecture and the Mandelbrot Competition
A student I’m tutoring was working unsuccessfully on the following problem from the 2011 Mandelbrot Competition:
Let $a, b$ be positive integers such that $\log_a b = (\log 23)(\log_6 7) + \log_2 3 + \log_6 7$. Find the minimum value of $ab$.
Afte... | HuggingFaceTB/finemath | |
Mooncake Modeling
Happy Harvest Moon Celebration?
Look outside tonight! Do you see a huge full moon? Harvest Moon Festival (also known as Mid-Autumn Festival) is one of the most important festivals celebrated in East and Southeast Asia, including China, Hong Kong, Japan, Korea, Taiwan, and Vietnam. It’s time to feast... | HuggingFaceTB/finemath | |
How do you solve the following system?: 2x+y=3 , 2y=5x-3
Mar 3, 2016
The solution for the system of equations is:
color(blue)(x=1
color(blue)(y=1
Explanation:
$2 x + y = 3$, multiplying by $2$
$4 x + \textcolor{b l u e}{2 y} = 6$.......equation $\left(1\right)$
$5 x - \textcolor{b l u e}{2 y} = 3$........equation... | HuggingFaceTB/finemath | |
# Simplifying pre-calc
I'm doing my homework and I'm stuck on this problem: $$\frac{\frac 1 {\sqrt{a}} + \frac {\sqrt{a}} 2}{\frac 1 {\sqrt{a}} - \frac {\sqrt{a}} 2}$$ I tried playing around with the powers, but failed pretty hard.
• Multiply by $$\frac{\frac{1}{\sqrt a} + \frac{\sqrt a}{2}}{\frac{1}{\sqrt a} + \frac... | HuggingFaceTB/finemath | |
# Limits in Double Integration
can someone please help me understand how to find the 'new' limits for double integration. I know that you have to split up the area and fix x or y. If you can go through an example with me then I would be grateful as I keep getting this wrong. We have only been taught how to work out th... | HuggingFaceTB/finemath | |
HW12soln
# HW12soln - ME 375 PROBLEM 1(30 GIVEN HOMEWORK#12 SOLUTION...
This preview shows pages 1–5. Sign up to view the full content.
ME 375 HOMEWORK #12 SOLUTION Spring 2009 PROBLEM 1 : (30%) GIVEN : characteristic equations: 2 1 10 ( 2)( 10 34) K ss s += ++ + FIND : y roots of this characteristic equation when K... | HuggingFaceTB/finemath | |
# Finite group with identity subgroup.
• Feb 18th 2010, 05:25 AM
chipette
Finite group with identity subgroup.
If you have a finite group, say G with no subgroups apart from {1G } and G. How would you go about showing that G is cyclic and that the number of elements in G is either 1 or prime?
I know that the order of... | HuggingFaceTB/finemath | |
Length IT
Find the length (circumference) of an isosceles trapezoid in which the length of the bases a,c and the height h are given:
a = 8 cm
c = 2 cm
h = 4 cm
Result
x = 20 cm
Solution:
Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...):
Be the first to comment!
To solve t... | HuggingFaceTB/finemath | |
# Voltage, Current, Resistance, and Ohm's Law
Pages
## Electricity Basics
When beginning to explore the world of electricity and electronics, it is vital to start by understanding the basics of voltage, current, and resistance. These are the three basic building blocks required to manipulate and utilize electricity.... | HuggingFaceTB/finemath | |
## Calculus (3rd Edition)
We know that $\int^{b}_{a}x^{2}dx=\frac{b^{3}}{3}-\frac{a^{3}}{3}$ Then $\int^{5}_{2}x^{2}dx= \frac{5^{3}}{3}-\frac{2^{3}}{3}$ $=\frac{125}{3}-\frac{8}{3}= \frac{117}{3}=39$ | HuggingFaceTB/finemath | |
# Horner’s Method for Polynomial Evaluation
Given a polynomial of the form cnxn + cn-1xn-1 + cn-2xn-2 + … + c1x + c0 and a value of x, find the value of polynomial for a given value of x. Here cn, cn-1, .. are integers (may be negative) and n is a positive integer.
Input is in the form of an array say poly[] where po... | HuggingFaceTB/finemath | |
# max # of words with restricted total content
This is the sort of problems in combinatorics with a rather innocent look that turn out to be quite challenging - at least for a bunch of physicists! :)
Suppose we have a multiset $\mathbf{M}$ on a finite alphabet $\alpha$. Given a length $L$, what is the maximum number ... | HuggingFaceTB/finemath | |
# Gently yoking yin to yang
The architecture at the University of California, Berkeley mystified me. California Hall evokes a Spanish mission. The main library consists of white stone pillared by ionic columns. A sea-green building scintillates in the sunlight like a scarab. The buildings straddle the map of styles.
... | open-web-math/open-web-math | |
Rod to Attometer converter | rd to am conversion
# Rod to Attometer converter| rd to am conversion
Are you struggling with converting Rod to Attometer? Don’t worry! Our online “Rod to Attometer Converter” is here to simplify the conversion process for you.
Here’s how it works: simply input the value in Rod. The conv... | HuggingFaceTB/finemath | |
# A Ring's zero-divisors
• Sep 20th 2010, 05:41 PM
demode
A Ring's zero-divisors
Let $R = \mathbb{Z}_4 \oplus 3 \mathbb{Z}_{15}$ be the direct sum of the rings $\mathbb{Z}_4$ and $3 \mathbb{Z}_{15}$, where $3 \mathbb{Z}_{15} =\{ 0, 3, 6, 9, 12 \}$ is the subring of $\mathbb{Z}_{15}$.
What is the zero element of R? Wh... | HuggingFaceTB/finemath | |
A prime number which is also a palindrome. I don't think there's any mathematical significance; it's just a curiosity.
In base 10, the first twenty palindromic primes are:
2, 3, 5, 7, 11, 101, 131, 151, 181, 191, 313, 353, 373, 383, 727, 757, 787, 797, 919, 929
A slightly larger one: 167474761
(Hey, I'm not a geek, ... | HuggingFaceTB/finemath | |
Sie sind auf Seite 1von 4
# 2.
## Natural Numbers as Sets
Axiom 7 asserts the existence of an inductive set. Using Axiom 4, we can then assume the
existence of a set that contains only those elements that must be in any inductive set. We can
phrase this as follows.
Definition. Let N be a collection of sets that has ... | HuggingFaceTB/finemath | |
Home Metamath Proof ExplorerTheorem List (p. 140 of 424) < Previous Next > Bad symbols? Try the GIF version. Mirrors > Metamath Home Page > MPE Home Page > Theorem List Contents > Recent Proofs This page: Page List
Color key: Metamath Proof Explorer (1-27759) Hilbert Space Explorer (27760-29284) Users'... | HuggingFaceTB/finemath | |
# Remove a number and its duplicates, not just the repeated values i.e. the way the unique function operates
1 view (last 30 days)
Vance Blake on 13 Nov 2019
Edited: Vance Blake on 24 Jan 2020
Hi, I am trying to remove both the number itself and its duplicates from my matrix. For example if A was the matrix (column ve... | HuggingFaceTB/finemath | |
# Showing that $T$ is a tempered distribution by showing $T(\phi) \in L^p$ for some p?
EDIT: Okay, I am rephrasing the question for more clarity:
Given a function $T(x)$, what are sufficient conditions to show that $T(x)$ is a tempered distribution? For instance, is it sufficient to show that for any $\phi \in \maths... | HuggingFaceTB/finemath | |
# Get the Knowledge that sets you free...Science and Math for K8 to K12 students
Email
×
## Applications of Definite Integrals
Average Value of a Function
We define the average value of finitely many numbers as the sum of the numbers divided by number of numbers. How would we define the average value of an arbitrar... | HuggingFaceTB/finemath | |
Hey guys,
"Find a function g(x) such that fog(x) is a quadratic function"
f(x) = (1+x)^1/2 - 2
(which would be square root (1+x)) - 2
2. Originally Posted by goliath
Hey guys,
"Find a function g(x) such that fog(x) is a quadratic function"
f(x) = (1+x)^1/2 - 2
(which would be square root (1+x)) - 2
I think this ... | HuggingFaceTB/finemath | |
# What is the percent increase from 90 to 104?
## (Percent increase from 90 to 104 is 15.5556 percent)
### Percent increase from 90 to 104 is 15.5556 percent! Explanation: What does 15.5556 percent or 15.5556% mean?
Percent (%) is an abbreviation for the Latin “per centum”, which means per hundred or for every hundr... | HuggingFaceTB/finemath | |
# Parap Definite Integral Problems And Solutions Pdf
## Definite Integral Study Material for IIT JEE askIITians
### Definite Integral Study Material for IIT JEE askIITians
Understanding Calculus Problems Solutions and Tips. Test how well you understand the definition of definite integrals with the mathematics proble... | HuggingFaceTB/finemath | |
Categories
# Write a simple calculator with go
## What is calculator
Calculator – Wikipedia
So basically, calculator is used to calculate the result after apply different operations on numbers.
## The things that made up the calculation expression
assume we have an calculation expression: `(1+2)*(10 / 5) - 3`
we... | HuggingFaceTB/finemath | |
Is this version of Lagrange's four-square theorem true?
Lagrange's four-square theorem states that any natural number $n$ can be represented as the sum of four integer squares.i.e. $n = a_1\times a_1 + a_2\times a_2 + a_3\times a_3 + a_4\times a_4$
Question: Is there any natural number $k$ such that: $$\forall n\geq1... | HuggingFaceTB/finemath | |
# Interactive Real Analysis
Next | Previous | Glossary | Map
## 8.2. Uniform Convergence
### Example 8.2.2 (b): Pointwise vs Uniform Convergence
Let fn(x) = xn with domain D = [0, 1]. Show that { fn(x) } converges pointwise but not uniformly. What if we change the domain slightly to D = (0, 1)?
Let Then: if x = 1... | HuggingFaceTB/finemath | |
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# Goodness of Fit
• ### Chi Square Tests
The eighth chapter of an online Introduction to Biostatistics course. Lecture notes are provided. Additionally, links for additional reading and exercises with solutions are provided.
• ### Myth and Reality in Report... | HuggingFaceTB/finemath | |
# Net work done in lifting
($$g$$ is assumed as $$10\ \mathrm{m/s^2}$$)
We lift a stationary object of mass, $$m$$, to a height $$s$$, ensuring it has got a resultant upward acceleration of $$2\ \mathrm{ m/s^2}$$. The required force to be applied by us for the process is ($$12m$$). At $$s$$, in order to bring it to a... | HuggingFaceTB/finemath | |
# Ncert maths solution for class 10. Maths Class 10th NCERT Solutions 2018-08-09
Ncert maths solution for class 10 Rating: 7,2/10 152 reviews
## NCERT Solutions For Class 10 Maths Chapter 1 Real Numbers
Students who do regular continuous studies are tend to lose the energy and interest in that subject. Here we will ... | HuggingFaceTB/finemath | |
# Napkin Diagrams
Engineering, Technology, and DIY
## Pressure Drops In Pipes: Part 2, Series and Parallel
This is Part 2 in a series on pressure drops in pipes. Part 1 covered the basic concepts and equations (1-4b). It is recommended to read that before proceeding, or to have it open along side this article for re... | HuggingFaceTB/finemath | |
Applying Multiple Operations
Multiple Operations in Columns or Rows
The Data - Multiple Operations command provides a planning tool for "what if" questions. In your spreadsheet, you enter a formula to calculate a result from values that are stored in other cells. Then, you set up a cell range where you enter some fix... | HuggingFaceTB/finemath | |
# Thread: Stumped by an Integral
1. ## Stumped by an Integral
I am trying to evaluate the following:
$\int\frac{2+x^2}{1+x^2}dx$
So far I have:
$\int\frac{2}{1+x^2}dx+\int\frac{x^2}{1+x^2}dx$
$=2tan^{-1}(x)+\int\frac{x^2}{1+x^2}dx$
Obviously I'm stuck on the second term. Any ideas?
2. $\int\frac{2+x^2}{1+x^2}dx... | HuggingFaceTB/finemath | |
# Math
I just started learning about Matrix and I got this as a warm-up problem, but I don't know how to solve it and the examples in my textbook aren't anything like this one: [4x 3y] = [12 -1]
1. 👍 0
2. 👎 0
3. 👁 172
1. Since the two matrices have the same size and they are equal, corresponding elements must be e... | HuggingFaceTB/finemath | |
# Envelope
(Difference between revisions)
Revision as of 11:20, 24 May 2012 (edit)← Previous diff Revision as of 13:01, 24 May 2012 (edit) (undo)Next diff → Line 94: Line 94: The result is a '''Nephroid''', which is the Greek word for "kidney-shaped". The result is a '''Nephroid''', which is the Greek word for "kidne... | HuggingFaceTB/finemath | |
# Present Value of $13 in 21 Years When you have a single payment that will be made to you, in this case$13, and you know that it will be paid in a certain number of years, in this case 21 years, you can use the present value formula to calculate what that $13 is worth today. Below is the present value formula we'll us... | HuggingFaceTB/finemath | |
Lemma 27.11.5. With hypotheses and notation as in Lemma 27.11.1 above. Assume $A_ d \to B_ d$ is surjective for $d \gg 0$ and that $A$ is generated by $A_1$ over $A_0$. Then
1. $U(\psi ) = Y$,
2. $r_\psi : Y \to X$ is a closed immersion, and
3. the maps $\theta : r_\psi ^*\mathcal{O}_ X(n) \to \mathcal{O}_ Y(n)$ are... | open-web-math/open-web-math | |
CLU Linear Algebra Ch 1 Theorems
#### Theorem 1
Each matrix is row equivalent to one and only one reduced echelon matrix.
#### Theorem 2
A linear system is consistent if and only if the right most column of the augmented matrix is not a pivot. Furthermore, if a linear system is consistent then the solution set is u... | HuggingFaceTB/finemath | |
+0
# The ratio of the interior angle of a pentagon is 2:3:4:4:5 calcualate the size of the largest angle
0
52
1
The ratio of the interior angle of a pentagon is 2:3:4:4:5 calculate the size of the largest angle
Dec 10, 2018
#1
+15350
+2
Sum of interior angles of pentagon = 540 degrees
540/(2+3+4+4+5) = 30 ... | HuggingFaceTB/finemath | |
# Can you solve this math problem intended for children?
Most of us have a special relationship with math. Good or bad, it was a mark on our childhood. A process that either helped you learn how to overcome difficult challenges, or woke up a passion that would follow you the rest of your life.
Some loved it at school... | HuggingFaceTB/finemath | |
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# Reflection
When we are standing before the mirror we are able to see our image and when we speak we could observe sometimes that those sound waves are heard after some time delay. Why are all these things observed? These are due to the phenomena of reflection. Reflection occurs both in light and sound.
## What... | HuggingFaceTB/finemath | |
Get an answer in 5 minutes
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# X, Y and Z are three points on a map. Y is 75 km and on a bearing of 190 from x. Z is on a bearing of 140 from Y. Z is due south of x Calculate the distance between x and Z rounded to 1 dp?
First draw a diagram. You will see that XYZ form a scalene t... | HuggingFaceTB/finemath | |
Our Discord hit 10K members! 🎉 Meet students and ask top educators your questions.Join Here! Numerade Educator
# Singly ionized helium (He $^{+} )$ is a hydrogen-like atom. Determine the energy in eV required to raise a $\mathrm{He}^{+}$ electron from the $n=1$ to the $n=2$ energy level.
## $E = 40.8 \, \rm eV$
Ato... | HuggingFaceTB/finemath | |
# Third Derivatives and Beyond Exercises
### Example 1
Let (x) = x3 + 2.
Find 2(x).
### Example 2
Let (x) = x3 + 2.
Find (2)(x).
### Example 3
Suppose f (x) is a degree 3 polynomial.
a. What is the degree of '(x)?
b. What is the degree of f (2)(x) ?
c. What is the degree of f (3)(x) ?
### Example 4
Suppose... | HuggingFaceTB/finemath | |
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### Online Games
Functions
Function Builder: Basic
Interactive Simulation - PhET
Graphing Lines
Interactive Simulation - PhET
​
​
​
The Number System
The Area Model:
​
Area Model: Multiplication with Whole Numbers
Interactive Simulation - PhET
Area Model: Decimals
Interactive Simulat... | HuggingFaceTB/finemath | |
# Physics:Thermal efficiency
Short description: Performance measure of a device that uses thermal energy
In thermodynamics, the thermal efficiency ($\displaystyle{ \eta_{\rm th} }$) is a dimensionless performance measure of a device that uses thermal energy, such as an internal combustion engine, steam turbine, steam... | HuggingFaceTB/finemath | |
It is currently 18 Oct 2017, 23:17
### 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 | |
# Is the order on repeated exponentiation the Dyck order?
The Catalan numbers $C_n$ count both
1. the Dyck paths of length $2n$, and
2. the ways to associate $n$ repeated applications of a binary operation.
We call the latter magma expressions; we will explain below.
Dyck paths, and their lattice structure
A Dyck ... | HuggingFaceTB/finemath | |
# PROBLEMS 13 - APPLICATIONS OF DERIVATIVES Page 1
Size: px
Start display at page:
Transcription
1 PROBLEMS - APPLICATIONS OF DERIVATIVES Pge ( ) Wter seeps out of conicl filter t the constnt rte of 5 cc / sec. When the height of wter level in the cone is 5 cm, find the rte t which the height decreses. The filter is... | HuggingFaceTB/finemath | |
1. ## Understanding Functions
Why is the following true:
f(a)f(b) = 2^ab = 2^a+b
2. Originally Posted by juliak
Why is the following true:
f(a)f(b) = 2^ab = 2^a+b
are you sure it isn't ...
if $\displaystyle f(x) = 2^x$ ...
$\displaystyle f(a) \cdot f(b) = 2^a \cdot 2^b = 2^{a+b}$
because, in general, $\displayst... | HuggingFaceTB/finemath | |
# How do you use the distributive property when you multiply polynomials?
Jan 3, 2015
The distribution property says that $a \cdot \left(b + c\right) = a \cdot b + a \cdot c$
With more polynomials it gets a bit harder. I'll do it the long way:
$\left(a + b\right) \cdot \left(c + d\right) = \left(a + b\right) \cdot ... | HuggingFaceTB/finemath | |
# The terminology of different parts of the electromagnetic spectrum is given in the text.
Question:
The terminology of different parts of the electromagnetic spectrum is given in the text. Use the formula hν (for energy of a quantum of radiation: photon) and obtain the photon energy in units of eV for different part... | HuggingFaceTB/finemath | |
Find the equation of the line which satisfy the given conditions passing through ,$$(2,2\sqrt{3})$$) and inclined with the x-axis at an angle of 75°.
Asked by Pragya Singh | 1 year ago | 110
##### Solution :-
Given: point (2, $$2\sqrt{3}$$) and θ = 75°
Equation of line: (y – y1) = m (x – x1)
where, m = slope of l... | HuggingFaceTB/finemath | |
FORM FOUR MATHEMATICS NECTA 2017
THE UNITED REPUBLIC OF TANZANIA NATIONAL EXAMINATIONS COUNCIL
CERTIFICATE OF SECONDARY EDUCATION EXAMINATION
041 BASIC MATHEMATICS
(For Both School and Private Candidates)
Time: 3 Hours Tuesday, 31stOctober 2017 a.m.
Instructions
1. This paper consists of sections A and B with a... | HuggingFaceTB/finemath | |
# Todd Trimble Monic endomorphisms on the subobject classifier
###### Proposition
Let $\Omega$ be the subobject classifier in a topos, and let $\phi: \Omega \to \Omega$ be a monomorphism. Then $\phi$ is an involution.
###### Proof
Introduce pullbacks
$\array{ U & \stackrel{i}{\hookrightarrow} & 1 & & & V & \hookri... | open-web-math/open-web-math | |
2019-06-03 07:43:59 -0500 received badge ● Supporter (source) 2019-06-03 07:43:46 -0500 commented answer update a value entry following some rule thank you very much @selelivere 2019-05-27 03:32:31 -0500 received badge ● Student (source) 2019-05-25 02:15:17 -0500 asked a question update a value entry following some rul... | HuggingFaceTB/finemath | |
# What do the eigenvalues represent?
The set of all eigenvectors of a linear transformation, each paired with its corresponding eigenvalue, is called the eigensystem of that transformation. The set of all eigenvectors of T corresponding to the same eigenvalue, together with the zero vector, is called an eigenspace or ... | HuggingFaceTB/finemath | |
Q:
# the local chess club has 60 member. 24 of them are younger than twenty. what percent of members of the chess club are younger than 20
Accepted Solution
A:
You can first write it as a fraction. 24 out of the 60 members are younger than twenty.
24/60
Simplify by dividing the numerator and denominator by the GCF... | HuggingFaceTB/finemath | |
## Tuesday, December 26, 2017
### Wrinkles
Sophomore year at Princeton was definitely mind expanding for me! Two physics classes are on my mind right now: electromagnetic theory, taught by Stewart Smith, and Thermodynamics, taught by Steve Schnatterly. I learned about the dynamics of vibrating strings in Smith’s clas... | HuggingFaceTB/finemath | |
# Math Insight
### Vector-valued functions and the Jacobian matrix
Math 2241, Spring 2022
Name:
ID #:
Due date: March 16, 2022, 11:59 p.m.
Table/group #:
Group members:
Total points: 1
1. A vector-valued function is a function that outputs a vector, i.e., it outputs more than one number. We'll focus on functions that... | HuggingFaceTB/finemath | |
# Ratio & Proportion (12)
1. A , B , C start a business each investing Rs 20,000 . After 5 month A withdraws Rs 5000, B withdraws Rs 4000 & C invests Rs 6000 more . At the end of the year, a total profit of Rs 69900 was recorded . Find the share of A
1. 20600
2. 20700
3. 20500
4. 20400
Explanation :-
A’s Investment... | HuggingFaceTB/finemath | |
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# What Percent Of 4 Is 7
What Percent Of 4 Is 7
An article discussing what percent of 4 is 7. The answer is 36%.
### Introduction: What is the percent of 4 that is 7?
Introduction:
Percentages are a common tool in math and science. They allow us t... | HuggingFaceTB/finemath | |
## Calculating a lead on a target
Recently, Quadgnim, on the Unity 3d forums, asked me if I could help him figure out how the code for leading a target would work. I thought about it for a minute, and then thought about it for a few more minutes. And now after several hours, I’ve decided it was one of the more fun d... | HuggingFaceTB/finemath | |
# Lesson 10
Designing Simulations
Let’s simulate some real-life scenarios.
### 10.1: Number Talk: Division
Find the value of each expression mentally.
$$(4.2+3)\div2$$
$$(4.2+2.6+4)\div3$$
$$(4.2+2.6+4+3.6)\div4$$
$$(4.2+2.6+4+3.6+3.6)\div5$$
### 10.2: Breeding Mice
A scientist is studying the genes that dete... | HuggingFaceTB/finemath | |
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# The diagonal AC and BD of a rhombus intersect each other at O. Prove that: AB2+BC2+CD2+DA2=4(OA2+OB2).
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Solution
## Since, diagonals of a Rhombus intersect each other at right angels.∴ in ΔAOB,AB2=OA2+OB2 ........... (1)and in... | HuggingFaceTB/finemath | |
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# Tagged Questions
For questions about recurrence relations, convergence tests, and identifying sequences. For questions on finite sums use the (summation) instead.
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### On the convergence of a series $\sum_{n=1}^\infty \left( \frac { p(p+1) \cdots (p+n-1) }{ q(q+1) \cdots (q+n-1)} \right)^n$
I am strugglin... | HuggingFaceTB/finemath | |
# Chamber
In the chamber light is broken and all from it must be taken at random. Socks have four different colors. If you want to be sure of pulling at least two white socks, we have to bring them out 28 from the chamber. In order to have such certainty for the pair gray socks, we must bring them also 28, for just pa... | HuggingFaceTB/finemath | |
Friday, February 3, 2023
HomeConnectednessA metric space (X, d) is connected iff every continuous function is...
# Proof:
Let (X, d) be a connected metric space and suppose that there exists a continuous function $$f:X\to {\lbrace0, 1\rbrace}$$.
Claim: f is constant.
Since, $${\lbrace0, 1\rbrace}$$ is finite w.r.... | open-web-math/open-web-math | |
# How to Find a Maximum Value for a Polynomial
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Polynomials are used to represent functions that are not straight lines by including variables raised to exponents, such as x^2. These functions can be used to project or show a variety of data, including profit versus number of emp... | HuggingFaceTB/finemath | |
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This post is the review of the publication, Holtzman, A., Buys, J., Du, L., Forbes, M., & Choi, Y. (2019). The curious case of neural text degeneration.
This paper compares various decoding algorithms used in NLG(Natural Language Generation) and discusses what should be implemented... | open-web-math/open-web-math | |
GMAT Question of the Day - Daily to your Mailbox; hard ones only
It is currently 11 Dec 2018, 02:07
### 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 | |
# If f(x) = 4x3 - 3x2 + 5, find f"(x).
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If f(x) = 4x3 - 3x2 + 5, find f"(x).
1. 12x2 - 6x
2. 24x - 6
3. 24x
4. None of these
by (54.0k points)
selected
Correct Answer - Option 2 : 24x - 6
Concept:
Formula used:
If f(x) = xn, then f'(x) = n xn - 1
Calculation:
Given:
f(x) = 4x3 - 3x2 ... | HuggingFaceTB/finemath | |
NZ Level 5 Alternate Angles
Lesson
## Alternate angles
Alternate angles in parallel lines are equal.
A pair of angles are said to be alternate if
• the angles are made from two parallel lines and 1 transversal line (line that crosses the parallel lines)
• the angles are not adjacent (not next to each other)
• the t... | HuggingFaceTB/finemath | |
# Second largest element in an array
Shriya Madan Category: Data StructuresTags: datastructures array
Given an array write a program to find the second largest element in an array by using the efficient possible solution.
Learn the logic to find the second largest number efficiently in an array using a single travers... | HuggingFaceTB/finemath | |
maths
posted by .
Consider the quadratic equation
m^2 x^2 + 2(2m-5)x + 8 = 0
a) If 2 is a root of the equation, find the possible values of m (there are four possible values)
b) For each value of m, find the other root
• maths -
no ideas on this? How far do you get?
Respond to this Question
First Name School S... | HuggingFaceTB/finemath | |
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# Mathematics | Some theorems on Nested Quantifiers
Prerequisite – Predicates and Quantifiers – Set 1, Set 2
Quantifiers are expressions that indicate the scope of the term to which they are attached, here predicates. A predicate is a property the subject of the statement can have.
... | HuggingFaceTB/finemath | |
# Confused about the origin of the Coriolis effect when moving along the equator
I'm taking an introductory course on meteorology and in the lecture notes there is an explanation of the Coriolis effect that confuses me. The components of a wind field are u, v and w: $$\vec{U} = u \cdot \vec{i}+v \cdot \vec{j}+w \cdot ... | HuggingFaceTB/finemath | |
# Search by Topic
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Broad Topics > Decision Mathematics and Combinatorics > Combinations
### Nines and Tens
##### Stage: 3 Challenge Level:
Explain why it is that when you th... | HuggingFaceTB/finemath | |
Communication, Networking, Signal and Image Processing (CS)
Question 1: Probability and Random Processes
January 2001
# Part 3
Let the $\mathbf{X}_{1},\mathbf{X}_{2},\cdots$ be a sequence of random variables that converge in mean square to the random variable $\mathbf{X}$ . Does the sequence also converge to $\math... | HuggingFaceTB/finemath | |
# The Eyeball Theorem
Given two circles (A) and (B). Let the tangents from A to (B) meet (A) in points P and Q, and the tangents from B to (A) meet (B) in points R and S. Then the eyeball theorem says that PQ = RS. Or equivalently that PQSR is a rectangle. Some proofs are given on Alexander Bogomolny's Cut the Knot si... | HuggingFaceTB/finemath | |
# 1718 WB1Z CH10 Lesson 5
Which exercises/theory should I discuss on the board?
1 / 12
Slide 1: Woordweb
WiskundeMiddelbare schoolvwoLeerjaar 1
In deze les zitten 12 slides, met interactieve quizzen en tekstslides.
Lesduur is: 50 min
## Onderdelen in deze les
Which exercises/theory should I discuss on the board?
... | HuggingFaceTB/finemath | |
1. ## [SOLVED] Binomial Probability
Hi,
I am having trouble with the following question:
During winter it rains on average 18 out of 30 days. Five winter days are selected at random. Find (4 d.p) the probability that:
(a) the first two days chosen will be fine and the remainder wet
My approach is this is an ordered... | HuggingFaceTB/finemath |
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