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# Matrix representation of spin
1. Jan 26, 2013
### M. next
Heyy!
Please check the attachment and explain why are they arranged (the matrix entries) the way they are?
I mean, what is the rule for building up a matrix?
In other words, why did not we start with <-1/2, -1/2 l S^2 l -1/2, -1/2 > and placed it as being ... | HuggingFaceTB/finemath | |
# Interactive video lesson plan for: Completing the Square-Solving Quadratic Equations
#### Activity overview:
Geometry Teachers Never Spend Time Trying to Find Materials for Your Lessons Again!
http://geometrycoach.com/Geometry-Lesson-Plans/?pa=MOOMOOMATH
Half it,Square,Add it to Both Sides. If you can remember thi... | HuggingFaceTB/finemath | |
If at each point of the curve y = x3 – ax2 + x + 1 the tangents is inclined at an acute angle with the positive direction of the x-axis, a lies in the interval. : Kaysons Education
# If At Each Point Of The Curve y = x3 – ax2 + x + 1 The Tangents Is Inclined At An Acute Angle With The Positive Direction Of The x-axi... | HuggingFaceTB/finemath | |
# John von Neumann
### Quick Info
Born
28 December 1903
Budapest, Hungary
Died
8 February 1957
Washington D.C., USA
Summary
John Von Neumann built a solid framework for quantum mechanics. He also worked in game theory, studied what are now called von Neumann Algebras, and was one of the pioneers of computer science.... | open-web-math/open-web-math | |
-4x = -10x + 6x. We have factoring, square root property, completing the square, and the quadratic formula. If you are factoring a quadratic like x^2+5x+4 you want to find two numbers that Add up to 5 Multiply together to get 4 Since 1 and 4 add up to 5 and multiply together to get 4, we can factor it like: (x+1)(x+4) ... | open-web-math/open-web-math | |
### The 2 Doors
Answer(1): Ask a a door - "If I were to ask the other door which door leads to the city of truth, what would he say". And then you pick the opposite door of what he tells you.
Answer(2): Ask the door - "If I asked you which door leads to the city of truth before, which door would you have told me?" (ne... | HuggingFaceTB/finemath | |
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Post subject: Letters into digitsPosted: Wed Apr 28, 2010 9:09 pm
Joined: Tue Sep 01, 2009 3:38 pm
Posts: 2083
Location: Maidstone
In the following sums ... | HuggingFaceTB/finemath | |
## 10549 - Russian Dolls
Moderator: Board moderators
Dominik Michniewski
Guru
Posts: 834
Joined: Wed May 29, 2002 4:11 pm
Location: Wroclaw, Poland
Contact:
### 10549 - Russian Dolls
I try to olve this problem using LIS algorithm (applied once to reach a sequence of N elements, after that I should have two separate... | HuggingFaceTB/finemath | |
Cody
Problem 156. Parasitic numbers
Solution 693913
Submitted on 30 Jun 2015 by Lim
This solution is locked. To view this solution, you need to provide a solution of the same size or smaller.
Test Suite
Test Status Code Input and Output
1 Pass
x = 128205; n = 4 y_correct = true; assert(isequal(parasitic(x,n),y_c... | HuggingFaceTB/finemath | |
# Solving three equations
The equations solver tool provided in this section can be used to solve the system of linear equations with three unknowns. Enter the coefficients of x, y and z. x + y + z = x + y + z = x + y +
• Track Improvement
• Homework Support Online
## Online Systems of Equations Solver
Use eliminat... | HuggingFaceTB/finemath | |
# Solving 3 variable systems of equations by elimination
0/3
##### Examples
###### Lessons
1. Solving Three Variable Systems of Equations by Elimination – (Easy)
Solve the following system of equations by elimination:
$x - 4y + z = -12$
$x + 3y - z = 6$
$2x - 2y + z = 5$
1. Solving Three Variable Systems of Equat... | HuggingFaceTB/finemath | |
# Difference between revisions of "Boolean Algebra"
Boolean algebra is the branch of algebra in which the values of the variables and constants have exactly two values: true and false, usually denoted 1 and 0 respectively.
## Operators
The basic operators in Boolean algebra are AND, OR, and NOT. The secondary operat... | HuggingFaceTB/finemath | |
# Separate imaginary from real
#### Amer
##### Active member
Is it possible to separate imaginary part from the real part in this question
$\sin ^{-1} ( e^{i\theta})$
I tired to find u such that
$\sin u = e^{i\theta}$
$\sin u = \cos \theta + i sin \theta$
$\sin (x + iy) = \cos \theta + i \sin \theta$
$\sin x \c... | HuggingFaceTB/finemath | |
# Algorithm by dfhdhdhdhjr
VIEWS: 6 PAGES: 26
• pg 1
``` Re-ranking method based on
inter-document distances
授課老師：陳彥良教授、許秉瑜教授
報告者：吳家齊
Outline
Background
Main conception
Method
An example
Conclusion
Background & Motivation
The best documents should be located as
close to the top of th... | HuggingFaceTB/finemath | |
# determine convergence/divergence at end points to determine if included in the ##domf## or not
determine convergence/divergence at end points to determine if included in the ##domf## or not
Since the ##int1/(5-x)##= ##ln(5-x)## get the power series representation of ##1/(5-x)##. Algebraically manipulate the equatio... | HuggingFaceTB/finemath | |
43rd Putnam 1982
Problem B4
A set S of k distinct integers ni is such that ∏ ni divides ∏ (ni + m) for all integers m. Must 1 or -1 belong to S? If all members of S are positive, is S necessarily just {1, 2, ... , k}?
Solution
m is allowed to be negative, so we can use the weaker condition that ∏ ni ≥ ∏ (ni + m). S... | HuggingFaceTB/finemath | |
## Conversion formula
The conversion factor from cubic centimeters to fluid ounces is 0.033814022558919, which means that 1 cubic centimeter is equal to 0.033814022558919 fluid ounces:
1 cm3 = 0.033814022558919 fl oz
To convert 256.3 cubic centimeters into fluid ounces we have to multiply 256.3 by the conversion fac... | HuggingFaceTB/finemath | |
Absolute and Conditional Convergence of Series of Real Numbers
# Absolute and Conditional Convergence of Series of Real Numbers
We will now classify two very special and different types of convergent of series of real numbers which we define below.
Definition: A series $\displaystyle{\sum_{n=1}^{\infty} a_n}$ is sa... | HuggingFaceTB/finemath | |
Learning Library
Premium
# Hop! Hop! Hop!: Strategic Number Lines
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No standards associated w... | HuggingFaceTB/finemath | |
Calculus: Early Transcendentals (2nd Edition)
First four terms: $4, 0.9, 0.09, 0.009$ Sum: $S = 5$
If we ignore the first term, we find that the next term is the previous term multiplied by a factor of $0.1$. Thus, the first four terms are $4, 0.9, 0.09, 0.009$ If we exclude the first term, we find that it's a geometr... | HuggingFaceTB/finemath | |
# Understanding 1/8th As A Decimal: Conversion Methods, Examples, And Importance
//
Thomas
Discover the steps to convert 1/8th to a decimal using division methods, explore real-world examples, and understand the importance of mastering this concept for everyday life, academics, and problem-solving skills. Plus, get ... | HuggingFaceTB/finemath | |
# Box Method – Partial Products Multiplication training & PDF
## How to use Box Method to solve multiplication expresion?
### Here is an example of Box Multiplication 75 x 25 = ?
For the section Partial Products Multiplication training & PDF, we’ll see how to solve this multiplication expression through four simple ... | HuggingFaceTB/finemath | |
Thu 25 April 2013
$$\def\prox{\text{prox}}$$ In a previous post, I presented Proximal Gradient, a method for bypassing the $$O(1 / \epsilon^2)$$ convergence rate of Subgradient Descent. This method relied on assuming that the objective function could be expressed as the sum of 2 functions, $$g(x)$$ and $$h(x)$$, with ... | HuggingFaceTB/finemath | |
Search a number
4295 = 5859
BaseRepresentation
bin1000011000111
312220002
41003013
5114140
631515
715344
oct10307
95802
104295
113255
12259b
131c55
1417cb
151415
hex10c7
4295 has 4 divisors (see below), whose sum is σ = 5160. Its totient is φ = 3432.
The previous prime is 4289. The next prime is 4297. The reversal of... | HuggingFaceTB/finemath | |
# 180 (number)
← 179 180 181 →
Cardinal one hundred eighty
Ordinal 180th
(one hundred and eightieth)
Factorization 22× 32× 5
Divisors 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
Roman numeral CLXXX
Binary 101101002
Ternary 202003
Quaternary 23104
Quinary 12105
Senary 5006
Octal 2648
Duodecimal 13... | HuggingFaceTB/finemath | |
# 55011 (number)
55,011 (fifty-five thousand eleven) is an odd five-digits composite number following 55010 and preceding 55012. In scientific notation, it is written as 5.5011 × 104. The sum of its digits is 12. It has a total of 3 prime factors and 8 positive divisors. There are 33,320 positive integers (up to 55011... | HuggingFaceTB/finemath | |
# ENHANCE REASONING SKILLS REASONING
For long, Reasoning is considered as the most puzzling section of the majority of the competitive exams. Thus candidates need to master this area through regular practice. Here are some questions for sharpening your reasoning ability...
1.Which of the following interchange of signs... | HuggingFaceTB/finemath | |
GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video
It is currently 20 Jan 2020, 22:27
### 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 Pr... | HuggingFaceTB/finemath | |
## Monday, June 10, 2013
### Relativistic Doppler Effect
One of the assumption of Special Relativity is that the velocity of light is constant in every inertial frame of reference. Consider two frames: one at rest (t,x,y,z); and a second one (t',x',y',z') is in motion with velocity V with respect to the first one. We... | HuggingFaceTB/finemath | |
# Page History
## Key
• This line was removed.
• Formatting was changed.
...
The saying has it that if you plan a talk for graduate students, then a few professors might understand it. Therefore we suggest that you plan your talk so that even undergraduates will understand it, and then maybe most of the audience wi... | open-web-math/open-web-math | |
Three reasons to choose the right Machine Learning algorithm
OpenText Professional Services insights
Here are three reasons why choosing the right algorithm is crucial for the success of any Machine Learning project.
A brief introduction to Machine Learning
When a programmer needs to create a program that outputs t... | HuggingFaceTB/finemath | |
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# Calculating the probability that the player wins in a game of craps.
Not what you're looking for? Search our solutions OR ask your own Custom question.
This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!
The dice game craps is played as fo... | HuggingFaceTB/finemath | |
Tue. Jul 5th, 2022
# Extra Questions for Class 10 Maths Trigonometry
## Extra Questions for Class 10 Maths Trigonometry
Q1. Evaluate the following:
(i) cosec2 45° + tan2 45° – 3sin2 90°
(ii) cos 60° cos 30° – sin 60° sin 30°
Q2. In an acute angle triangle ABC, sin (A + B – C) = 1/2, cot (A – B + C) = 0 and cos (B +... | HuggingFaceTB/finemath | |
2.8.1: Linguistic world-view ---Wonder of man's linguistic competence The applied scope of physics physics (realistic world-description method) is rather clear. But the applied scope of mea urement theory is ambiguous. What we can do in measurement theory (= quantum language) is
(a): $\left\{\begin{array}{ll} \mbox{(... | HuggingFaceTB/finemath | |
# nLab extended real number
Extended real numbers
# Extended real numbers
## Idea
An extended real number is usually a real number, but it might be $\pm\infty$. We can also think of an extended real number as a number of the form $\log(1/t - 1)$ for $t \in [0,1]$ (including $t = 0,1$) or a number of the form $\tan ... | HuggingFaceTB/finemath | |
You are Here: Home >< Maths
# sets watch
1. can someone explain to me how a set can be both open and closed.
The greektard tried and failed at explaining it to me.
plus can you give me an example of a set that's neither open nor closed.
would this be something like (0,1] ??
2. What are your definitions of "open" a... | HuggingFaceTB/finemath | |
# MTW Box 21.1 - What can "add and subtract" do for Equation (12)?
• TerryW
TerryW
Gold Member
Homework Statement
Derive Equation (15) from Equation (12)
Relevant Equations
See attachment
I haven't posted for a while and I am still (!) working through some of the things I didn't quite get in MTW Chapter 21.
Here is m... | HuggingFaceTB/finemath | |
Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :
# Orthogonal Matrix
The matrix is said to be an orthogonal matrix if the product of a matrix and its transpose gives an identity value. Before discussing it briefly, let us first know what matrices are. A matrix is a... | HuggingFaceTB/finemath | |
The mean is the expected value of the random variable in the probability distribution. ) E Even an average students can learn a very difficult subject very easily. ) I am out of school about 10 years and this course helped me to brush on the fundamental knowledge of engineering courses and further encouraged me t... | HuggingFaceTB/finemath | |
# Thread: TRIG Identities and Equations
1. ## TRIG Identities and Equations
These are the problems I have trouble with while doing a practice on this topic.
1. Factor the expression and use fundamental identities to simplify:
cos^(2)x csc^(2)x - cos^(2)x
2. Find all solutions in the interval [0 , 2pi)
tan^(2)θ = (-... | HuggingFaceTB/finemath | |
Search a number
BaseRepresentation
bin10101000111
31212001
4111013
520401
610131
73640
oct2507
91761
101351
111019
12947
137cc
146c7
15601
hex547
1351 has 4 divisors (see below), whose sum is σ = 1552. Its totient is φ = 1152.
The previous prime is 1327. The next prime is 1361. The reversal of 1351 is 1531.
It is a ... | HuggingFaceTB/finemath | |
Closed form for $\int_0^1\frac{x}{\ln(x+1)(x^3+3x+3)}dx$
How can I evaluate the closed form of the following integral: $$\int_0^1\frac{x}{\ln(x+1)(x^3+3x+3)}dx$$
According to Wolfram Alpha, the numerical value of this integral is close to 0.2673, but it doesn't show up any closed form.
• Do you know if the integral ... | HuggingFaceTB/finemath | |
Dividing by 10, 100 and 1,000 Homework Extension Year 5 Multiplication and Division | Classroom Secrets
Maths Resources & WorksheetsYear 5 Maths LessonsAutumn Block 4 (Multiplication and Division)09 Dividing by 10, 100 and 1,000 › Dividing by 10, 100 and 1,000 Homework Extension Year 5 Multiplication and Division
Di... | HuggingFaceTB/finemath | |
## A disc rotating about its axis with angular speed ωois placed lightly (without any translational push) on a perfectly frictionless table. The radius of the disc is R. What are the linear velocities of the points A, B and C on the disc shown in Fig. 7.41? Will the disc roll in the direction indicated? | Learn NCERT s... | HuggingFaceTB/finemath | |
It is currently 20 Nov 2017, 10:57
### 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 | |
# how many ways could you
• Feb 25th 2008, 12:51 PM
sweetkendra
how many ways could you
Having a bit of trouble here:
There are 7 seals and 8 dolphins entered in an aquatic obedience show. How many ways could you select a final group to judge if it must consist of 3 seals and 3 dolphins? How many ways could you award... | HuggingFaceTB/finemath | |
### Roaming Rhombus
We have four rods of equal lengths hinged at their endpoints to form a rhombus ABCD. Keeping AB fixed we allow CD to take all possible positions in the plane. What is the locus (or path) of the point D?
### Center Path
Four rods of equal length are hinged at their endpoints to form a rhombus. The... | HuggingFaceTB/finemath | |
# Solving Algebraically for T2: Q Lost = Q Gained
• Soliloquy12
In summary, the problem involves solving for T2 in an equation involving temperature changes and the specific heat capacity of two substances. When substituting the given values into the original equation, T2 is calculated to be 123.66 degrees Celsius, bu... | HuggingFaceTB/finemath | |
Amount
From
To
# 2 square pole to square miles
How many square miles in 2 square pole? 2 square pole is equal to 1.953125E-5 square miles.
This page provides you how to convert between square pole and square miles with conversion factor.
# How to convert 2 square pole to mi2?
To convert 2 square pole into mi2, fol... | HuggingFaceTB/finemath | |
4.1 Displacement and velocity vectors (Page 4/7)
Page 4 / 7
An example illustrating the independence of vertical and horizontal motions is given by two baseballs. One baseball is dropped from rest. At the same instant, another is thrown horizontally from the same height and it follows a curved path. A stroboscope c... | HuggingFaceTB/finemath | |
# Frequency
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Series Geophysical References Series Digital Imaging and Deconvolution: The ABCs of Seismic Exploration and Processing Enders A. Robinson and Sven Treitel 4 http://dx.doi.org/10.1190/1.9781560801610 9781560801481 SEG Online Store... | HuggingFaceTB/finemath | |
# Relationship between a posterior distribution and the LLN
1. Mar 26, 2014
### scinoob
Hello everybody. This is my first post here and I hope I'm not asking a question that's been addressed already (I did try to use the search function, but couldn't find what I'm looking for).
Both the Bayes theorem and the law of... | HuggingFaceTB/finemath | |
A resource for profoundly gifted middle school students, their parents, and teachers
MATHEMATICS CONCEPTS
### Cantor-Bernstein Therorem
Two sets A and B have the same cardinality if there is a 1-1 and onto mapping or correspondence from A to B. Often, it is easier to find a 1-1 mapping rather than one that is 1-1 an... | HuggingFaceTB/finemath | |
# Print
### Create a New QuizEdit this quizView a Sample QuizDetailed Case StudySearch the ArchiveFeedback ## A. Prior to the lesson:
1. Arrange students into groups. Each group needs at least ONE person who has a mobile device.
2. If their phone camera doesn't automatically detect and decode QR codes, ask students... | HuggingFaceTB/finemath | |
# How Many Moles Are There in 34.5 G of Sodium ? (Atomic Mass of Na = 23 U) - Science
Short Note
How many moles are there in 34.5 g of sodium ? (Atomic mass of Na = 23 u)
#### Solution
Mass of zinc = 10g
gram atomic mass of zinc = 65g
We know that one mole of zinc contains 6.022 × 1023 atoms of zinc.
65g of zinc... | HuggingFaceTB/finemath | |
1. ## series
$\sum_{n=1}^\infty \frac{6}{n(n+2)}$
$\frac{6}{n(n+2)} = \frac{6}{n} - \frac{6}{n+2}$
$S_n = (6-\frac{6}{3}) + (\frac{6}{2}-\frac{6}{4}) + (\frac{6}{3}-\frac{6}{5})+$... $+ (\frac{6}{n} - \frac{6}{n+2})$
not sure what to do next
2. Originally Posted by viet
$\frac{6}{n(n+2)} = \frac{6}{n} - \frac{6}{... | HuggingFaceTB/finemath | |
# Modeling melange back-pressure¶
Equation (17) above, describing the stress boundary condition for ice shelves, can be written in terms of velocity components:
$\begin{split}\newcommand{\Diff}[2]{ \frac{\mathrm{d}#1}{\mathrm{d}#2} } \newcommand{\diff}[2]{ \frac{\partial #1}{\partial #2} } \newcommand{\var}[2]{ {#1}_... | HuggingFaceTB/finemath | |
## ◂Math Worksheets and Study Guides Third Grade. Comparing Fractions
### The resources above correspond to the standards listed below:
#### Georgia Standards of Excellence
GA.MGSE3.NF. Number and Operations – Fractions
Develop understanding of fractions as numbers.
MGSE3.NF.1. Understand a fraction 1/b as the quant... | HuggingFaceTB/finemath | |
Ex 9.3
Chapter 9 Class 11 Straight Lines
Serial order wise
### Transcript
Ex 9.3, 11 Prove that the line through the point (x1, y1) and parallel to the line Ax + By + C = 0 is A (x – x1) + B (y – y1) = 0. The line passing through (x1, y1) and parallel to the line Ax + By + C = 0 has the same slope as the line Ax + B... | HuggingFaceTB/finemath | |
# Solve the following linear equation.$m-\frac{m-1}{2}=1-\frac{m-2}{3}$.
#### Complete Python Prime Pack
9 Courses 2 eBooks
#### Artificial Intelligence & Machine Learning Prime Pack
6 Courses 1 eBooks
#### Java Prime Pack
9 Courses 2 eBooks
Given:
$m-\frac{m-1}{2}=1-\frac{m-2}{3}$.
To do:
We have... | HuggingFaceTB/finemath | |
# Find Length of Parametrized Curve: x(t), y(t)
• ILoveBaseball
In summary, the length of the parametrized curve is given by the definite integral from 0 to 1 of the absolute value of the quadratic polynomial with coefficients 12, -24, and 24, which is equal to 16.
ILoveBaseball
Find the length of parametrized curve g... | HuggingFaceTB/finemath | |
Dear Students,
Quantitative Aptitude Questions for IBPS Clerk Pre 2017
Quantitative Aptitude is a very important section you must prepare if you are aiming for a job in Bank or Insurance sector. These two weeks are very important as IBPS Clerk and RBI Assistant Mains are lined up. So, these 15 questions can help you ... | HuggingFaceTB/finemath | |
# Volts Line-Line to Line-Neutral – Convert Phase-Phase to Phase-Neutral
Here you will find how to convert from Linea to Linea voltage to Linea to Neutro voltage automatically, easily and free, for greater ease in our case the word Phase is similar to Linea.
We also have the formula that is used in the Line-Line to L... | HuggingFaceTB/finemath | |
You are on page 1of 10
# Discrete Fourier Transform- Applications
## Application 1 : Detecting periodic signals
Assume you have a long series of data
u(t)
t= 0 ,1,., N
(1)
## containing an oscillating function
u(t) = A e i2pt + (t) (2)
with a non rational frequency p, i.e.
n
n 1
p
,
N
N
N N
(3)
u (m)
N 1
1
... | HuggingFaceTB/finemath | |
P => Q: why does this evaluate to True, where Q is True and P is False?
## 18 Answers
Suppose you impose yourself a rule: if it rains then you bring your umbrella.
If it doesn't rain, does that mean *this rule* is broken?
That's the intuition behind making such "implication" true when the precondition is false.
by
... | HuggingFaceTB/finemath | |
# Correlation Vs Regression: Which Is The Best For Statistics
Correlation and Regression both are Statistical Analysis measurements used to discover the relation between two variables, evaluate the connections and make predictions. Calculating Correlation and Regression are generally used in different industries and g... | HuggingFaceTB/finemath | |
# Mealy machine
In the theory of computation, a Mealy machine is a finite-state machine whose output values are determined both by its current state and the current inputs. This is in contrast to a Moore machine, whose (Moore) output values are determined solely by its current state. A Mealy machine is a deterministic... | HuggingFaceTB/finemath | |
# Thread: intersection of planes
1. ## intersection of planes
1. The line of intersection of the planes 2x+y-3z=3 and x-2y+z=-1 is L. If L meets the xy plane at Point A and the z-axis at Point B, determine the length of line segment AB.
2. Determine the Cartesian equation of the plane that is parallel to the line wi... | HuggingFaceTB/finemath | |
# NCERT Class 9 Solutions: Quadrilaterals (Chapter 8) Exercise 8.1 – Part 5
Q-9 In parallelogram ABCD, two points P and Q are taken on diagonal BD such that (see Fig.). Show that:
1. APCQ is a parallelogram
Solution:
1. In,
• (Given)
• (Alternate interior angles)
• (Opposite sides of a parallelogram)
Thus, by S... | HuggingFaceTB/finemath | |
# A triangle has sides with lengths: 1, 6, and 8. How do you find the area of the triangle using Heron's formula?
Mar 14, 2016
Not a valid triangle
#### Explanation:
This is not a valid triangle.Any side of a triangle is always shorter than the sum of the other 2 sides.
consider side of 1 : 6+8 = 14 → 1 < 14 valid... | HuggingFaceTB/finemath | |
Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications!
This is an AMP page - Open full page! for all features.
• the most efficient way to navigate the Engineering ToolBox!
# Right Angled Triangle
A right triangle - or a right angled triangle - is a triang... | HuggingFaceTB/finemath | |
# How do you solve 2<=4-3x<7?
Feb 20, 2017
See the entire solution process below:
#### Explanation:
First, subtract $\textcolor{red}{4}$ from each segment of the inequality to isolate the $x$ term while keeping the system of inequalities balanced:
$2 - \textcolor{red}{4} \le 4 - 3 x - \textcolor{red}{4} < 7 - \tex... | HuggingFaceTB/finemath | |
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# Ski Jump Problem (projectile)
At time t = 0 a skier leaves the end of a ski jump with a speed of Vo feet per second at angle alpha with the horizontal. Position vector of the skier is represented by the vector : r(t) = [Vo (cos theta) t] i + [h + (Vo sin theta) t - 1/2gt^2] j
The skier lands... | HuggingFaceTB/finemath | |
Related Articles
Value required to be added to N to obtain the sum of first M multiples of K
• Last Updated : 04 May, 2021
Given three positive integers N, K, and M, the task is to find the number to be added to N to obtain the sum of first M multiples of K.
Examples:
Input: N = 17, K = 3, M = 4
Output: 13
Explanati... | HuggingFaceTB/finemath | |
Tough Geometry problem : PS Archive
Check GMAT Club Decision Tracker for the Latest School Decision Releases http://gmatclub.com/AppTrack
It is currently 17 Jan 2017, 20:13
### GMAT Club Daily Prep
#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questi... | HuggingFaceTB/finemath | |
## Right-hand rules
The “right-hand rule” is a valuable tool in physics to help you determine the direction of vectors and fields. When you use the right-hand rule properly, your work is a lot easier. In this post, I describe a number of right-hand rules and show you how to apply them. But first, a warning:
Never, ev... | HuggingFaceTB/finemath | |
# Case study: geometric fitting of pipes
Get the source code for this case study. You will find 2 sources: one with a more easy to understand OpenCL C99 code and one with the C99 code optimized for the GPU.
I am developing this code for you OpenCL users who already have a good knowledge of the technology and want to ... | HuggingFaceTB/finemath | |
# ALEX Learning Activity
## You Kan With Khan: Math Made Easy!
A Learning Activity is a strategy a teacher chooses to actively engage students in learning a concept or skill using a digital tool/resource.
You may save this Learning Activity to your hard drive as an .html file by selecting “File”,then “Save As” from ... | HuggingFaceTB/finemath | |
## Probability II – Multiple Events
Before you read on, have you read our article on Basic Probability?
A lot of the time you will be considering the probabilities of two or more events occurring. When dealing with these multiple probabilities you will need to consider whether these events are independent or dependen... | HuggingFaceTB/finemath | |
Paul, a 3rd grader, divides by ZERO
I started Paul with the problem
(See the copy of the page from his book below. This problem is down near his art work), which means how many quarters make one-half? Like in the problem 12 divided by 3 = ? Or what times 3 makes 12? We worked our way up the page, and he caught on t... | HuggingFaceTB/finemath | |
# CAGR in Excel – How to Calculate CAGR in Excel?
In this tutorial, we’ll learn how to calculate CAGR in Excel. CAGR or Compound Annual Growth Rate is the rate of measurement of the growth rate of an investment amount that is compounded annually.
Also read: How to Calculate Compound Interest in Excel?
The Formula to... | HuggingFaceTB/finemath | |
# How do you find all solutions of the differential equation (d^2y)/(dx^2)=x^-2?
Dec 29, 2016
$y = - \ln \left(\left\mid x \right\mid\right) + {C}_{1} x + {C}_{2}$
#### Explanation:
Note that when we integrate things like ${\mathrm{dx}}^{2}$ we will be left with $\mathrm{dx}$, so we will need to integrate this twic... | HuggingFaceTB/finemath | |
Can You Pass This 2-Digit Multiplication Quiz Without Using a Calculator?
EDUCATION
By: Isadora Teich
5 Min Quiz
Image: Digital Vision / DigitalVision / Getty Images
About This Quiz
Are you a mental math whiz who doesn't need a calculator to put numbers in their place? Many people struggle with math throughout th... | HuggingFaceTB/finemath | |
## Elementary Geometry for College Students (7th Edition) Clone
The identity csc α = $\frac{1}{sin α}$ is valid
csc α = $\frac{c}{a}$ sin α = $\frac{a}{c}$ $\frac{1}{sin α}$ = $\frac{1}{\frac{a}{c}}$ = $\frac{c}{a}$ So csc α and $\frac{1}{sin α}$ are equivalent | HuggingFaceTB/finemath | |
# Time and Work Online Test
Tap ‘X’ produces 10 litres per minutes. Tap ‘Y’ can fill a tank in 10 hours. If both the taps are opened simultaneously, in how much time the tank will be full?
Abhinav and Anubhav together can complete a task in 16 days, where as Anubhav and Amitab together can do the same task in 24 days... | HuggingFaceTB/finemath | |
If its percentage you would like your children to practice you’ve come to the perfect spot. Naturally, what equations you opt to use is optional, all these are just the ones which have been successfully utilized previously. This article will become your reference whenever you’re confused to make your worksheet. Any low... | HuggingFaceTB/finemath | |
# trigonometry
posted by Julyn
from a window 30ft above the ground, the angle of elevation to the top of the building across the street is 50° and the angle of depression to the base of the building is 20° find the height of the building across the street
1. Reiny
I am sure you made a sketch.
On mine, I labeled the... | HuggingFaceTB/finemath | |
# average not working
• Nomvula
Hall of Fame
Points: 3770
Hi guys
I have a following scenario on my report that I'm trying to get the average on:
A. 1.5/(11-0) = 14%
B. 0/(11-5.5) = 0%
I need to average A and B inorder to get 7%
to do that I've added up the two : 1.5/(22-5.5) of which I'm getting 9% which is i... | HuggingFaceTB/finemath | |
2. With respect to sides are:
(a) Scalene triangles (b) Isosceles triangles (c) Equilateral triangles
(a) Scalene Triangle: A triangle in which no two sides are equal in length is called a scalene triangle.
• Length of all sides and measurement of all angles is different.
(b) Isosce... | HuggingFaceTB/finemath | |
My Math Forum Why does (1+x)^(1/x) approach e?
User Name Remember Me? Password
Calculus Calculus Math Forum
October 25th, 2016, 06:30 PM #1 Senior Member Joined: Jul 2016 From: USA Posts: 108 Thanks: 13 Why does (1+x)^(1/x) approach e? Why does (1+x)^(1/x) = e as x approaches 0, as shown in this graph? https://w... | HuggingFaceTB/finemath | |
# Proving complex series $1 + \cos\theta + \cos2\theta +... + \cos n\theta$
So I have this result
$1 + z + z^2 + ... + z^n = \frac{z^{n+1}-1}{z-1}$
which I proved already. Now I am supposed to use that result and De Moivre's formula to establish this identity
$1 + \cos\theta + \cos2\theta +... + \cos n\theta = \fra... | HuggingFaceTB/finemath | |
# Answers
Solutions by everydaycalculation.com
## Compare 4/8 and 81/10
1st number: 4/8, 2nd number: 8 1/10
4/8 is smaller than 81/10
#### Steps for comparing fractions
1. Find the least common denominator or LCM of the two denominators:
LCM of 8 and 10 is 40
Next, find the equivalent fraction of both fractional... | HuggingFaceTB/finemath | |
# Homework Help: Voltage divider circuit
1. Sep 15, 2011
### logearav
1. The problem statement, all variables and given/known data
Dear Members,
I have attached two diagrams found in Voltage divider topic found in web , while discussing about potentiometer . My doubt is, in the first attachment( Voltage Divider.png... | HuggingFaceTB/finemath | |
## Take My F4 Class
A "F4 Class" QE" is a standard mathematical term for a generalized continuous expression which is utilized to fix differential formulas and has options which are routine. In differential Class solving, a F4 function, or "quad" is utilized.
The F4 Class in Class form can be revealed as: Q( x) = -kx... | HuggingFaceTB/finemath | |
# Why is Pascal's Triangle called a Triangle?
Pascal's triangle extends infinitely downwards, meaning in only has two sides. Why then is it called a triangle if a triangle, by definition must have three sides?
• Most illustrations of it don't show the entire thing, in which case it looks like a triangle. That's my gu... | HuggingFaceTB/finemath | |
# Havent Done Math In Years How To Prepare For Caculus Geometry for Beginners – How To Find the Surface Area and Volume of Prisms
You are searching about Havent Done Math In Years How To Prepare For Caculus, today we will share with you article about Havent Done Math In Years How To Prepare For Caculus was compiled an... | HuggingFaceTB/finemath | |
The baupost group Interview Questions, Process, and Tips
Ques:- A sum of money place at compound interest doubles itself in 4 years. In how many years will it amount to eight times itself?
Ques:- Why you join the hotel industry?
Ques:- One student takes 20 mins to reach school if he goes at a speed of 15kmph .At what ... | HuggingFaceTB/finemath | |
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.
Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
A266845 Primes p such that p+-2 and p+-4 are semiprimes. 2
53, 89, 449, 683, 1259, 4283, 6803, 11789, 12781, 13553, 16561, 18593, 1889... | HuggingFaceTB/finemath | |
Central Tendency
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# Central Tendency - PowerPoint PPT Presentation
Central Tendency. The Three “M”s. Mean. Median. Mode. Mean. ADD. First , __________ the data values. . DIVIDE. Then __________ by the number of data items. Median. First , the data values need to be arranged _____ __________. . in order. middle... | HuggingFaceTB/finemath | |
Problems & Puzzles: Puzzles
Puzzle 1000. Prove that math* is fun
Arrange this palindromic prime (19973-92401-97879-10429-37991) into a 5-by-5 array and each row, column, and main diagonal will form a reversible prime. [Blanchette]
1 9 9 7 3 9 2 4 0 1 9 7 8 7 9 1 0 4 2 9 3 7 9 9 1
19973 92401 97879 10429 37991 199... | HuggingFaceTB/finemath |
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