Operations Definition and 317 Threads

Homework Statement Show that elementary row operations don't affect solutions sets in linear systems Homework Equations - The Attempt at a Solution It's pretty easy to come up with a random linear system and perform ERO on them and showing that solutions are not affected, but is there all...

6 - 1 × 0 + 2 ÷ 2 = Hi :) I was hoping someone could explain this equation? Using PEMDAS the answer came to 5 for me but I have been told the correct answer is 7? Why is this?

Hey! :o I want to check using bitwise operations if x XOR y=0. The only conditional command we have is JMN a, which means Jump to a if the currect value is <0. So, we have to check if it doesn't hold that x XOR y <0 and x XOR y >0, right? (Wondering) But how can we check the condition x...

Homework Statement I am preparing for my final and I am stuck on the following question Homework EquationsThe Attempt at a Solution My best guess would be to make some kind of next state table, but I don't understand the relationship between xT1, yT2, yT3 and any kind of table.

Hey so probably a really simple question, but I'm stumped. How do you simplify: ν∇⋅(ρν), where ν is a vector ∇ is the "del operator" ⋅ indicates a dot product ρ is a constant. I want to say to do the dyadic product of v and ∇, but then you would get (v_x)*(d/dx) + ... which would be...

Let's say that we have this expression, $\frac{1}{2}*2x*x-2$ So now solving this in one method we can $\frac{1}{\cancel 2}*\cancel2x*x-2=x^2-2$ In another way $\frac{1}{2}*2x*x-2=\frac{2x^2-2}{2}=x^2-1$ What is the reason that I get two different answers ? I hope that both ways are valid...

What is the rule on the preservation of rank through an elementary operation? I know that rank can never go up, but is there any direct way to determine that it goes down (either than reducing the matrix down to row-echelon form)? Is there a good source that go into the proofs for properties...

Homework Statement [/B] \begin{array}{cc}1 & 1&1\\ 1&1-s&1-s\\-s&1-s&s^2-1\end{array} a)For which values of s does the inverse exist, and why? You should be using row operations and ideally head for reduced row echelon form b) In the process of calculating part a), you will come across a...

Hi all! I know that the integral is the inverse of the derivative, but what about special derivative operators? What functions would undo the gradient, divergence and curl? And what about special integrals, such as line and surface integrals? Are there different derivatives/integrals that are...

Hello mathhelpboards community! Please help! Thank you. :-) I need my code to print out the user's original array that is to say the numbers in the way the user entered them. I tried making a copy of the original array and then did all of the arithmetic on it. I sorted the array copy in...

Homework Statement This theorem comes from the book "The Real Numbers and Real Analysis" by Bloch. I am having a hard time understanding a particular part of the proof given in the book. Prove the following theorem: There is a unique binary operation +:ℕ×ℕ→ℕ that satisfies the following two...

Hey there, I need some help with this assignment: Use the definition for a ring to prove that Z7 is a ring under the operations + and x as defined as follows: [a]7+[b]7 = [a+b]7 and [a]7 x [b]7 = [a x b]7 1. state each step of your proof 2. provide written justification for each step.But...

Hey guys, another question regarding MatLab here. In this assignment, I need to create a function of 'k' to count the number of floating point operations in the algorithm that I've made. Here is my code so far: expAk = zeros(1000, 1000); load('CA3matrix.mat'); times = zeros(15, 1); for j =...

Could someone help me in this by simplifying/Proving the equation using Theorems/ Rules on Operation of Sets (i.e Commutative property, idempotent, assoc, dist. , definition of union , def. intersection , DeMorgan ,etc.). Letting A, B and C be three sets .. Prove/Disprove : Any solution...

Is there any deep reason why math follows PEMDAS order of operations? It seems like it's totally arbitrary to me. Like couldn't we read things right-to-left instead of left to right and couldn't we do subtraction before multiplication? Why does it matter? Is it just a made up "rule" that...

Hi, I have worked the problem but I am not sure that this is the correct answer, Please help. 3(-3) - (5)2^2 ____________ 8- SQRoot(36) +12 I got an answer of 11/14 but When I check on an online calculator to see if it is correct I am getting 5.5 ... 2^2 = TWO SQUARED SQRoot = Square...

The course description: "This course provides a broad overview of deterministic operations research techniques. Linear programming will be covered including the simplex method, duality and sensitivity analysis. Further selected topics are from integer programming, dynamic programming, scheduling...

An operation is frame-invariant if it maintains the Lorentz-transformability of an input, yes? So for example, the coordinate ##x## transforms according to ##x^\prime = \gamma(x-vt)##, and multiplying the unprimed space and time coordinates by ##c## would give ##cx^\prime = c\gamma(x-vt)##. In...

Max: 3x + 5y s.t. x + 2y ≤ 5 x ≤ 3 y ≤ 2 x,y ≥0 By the simplex method, the profit is $14. Using sensitivity analysis I changed the RHS of the 1st constraint and keeping everything else constant, I get the best profit value of $19 at RHS of 7. What other methods can I use such as the...

I have a toy quantum circuit simulator that I work on. I want to visually represent operations in multiple ways: as a Hamiltonian, as a unitary matrix, and as a Bloch sphere rotation. I want to double-check that I haven't flipped anything. I'll focus a concrete example: is this animation...

Hi So I am learning about sets and I wanted to know if these definitions was correct, specifically the properties of sets under operations, and I had a question. please help. The closure property: A set has closure under an operation if the result of combining ANY TWO elements under that...

I am currently in upper division math courses in my career and I can't do something like 109-64 quickly in my head. I obviously try to break every number apart to make hard subtractions, but I can't do it fast!. Should I worry about this?. Overall, I have done well in my math life, but I feel...

Homework Statement Let \mathcal{E} be a trace-preserving quantum operation. Let \rho and \sigma be density operators. Show that D(\mathcal{E}(\rho), \mathcal{E}(\sigma)) \leq D(\rho,\sigma) Homework Equations D(\rho, \sigma) := \frac{1}{2} Tr \lvert \rho-\sigma\rvert We can write...

What exactly is a mathematical operation? Wiki states that an operation in math is "a calculation from zero or more input values (called "operands") to an output value." That sounds oddly like a function, but I'm assuming that not all operations are functions? What is the relationship between...

Hey Guys, So I'm currently factoring polynomials. As you all know,when trying to factor a polynomial with 4 terms,the answer can be the difference of a trinomial and monomial squares. So I had the problem 4a^2-4ab+b^2-c^2 I thought(book doesn't explain it well) that your first step was to...

If the binary operation of addition is theoretically connected with logic operation XOR, and if the binary operation of multiplication is theoretically connected with logic operation AND, so, the logic operation OR is connected with what binary operation? Exist some relationship? Another...

Homework Statement Let A be an nxn matrix belonging to R and x be a vector of length k belonging to R. Find the first column of M = (A − x1I)(A − x2I)...(A − xrI) using a sequence of GAXPY’s operations. Homework Equations GAXPY: General matrix A multiplied by a vector X plus a vector Y The...

I have had this question bugging me for a while. I know how to use it, but why and how does it work? I heard it was for convention and you do the most complicated to the simplest operations to get the lowest terms but it still confuses me. Can anyone give me a clear and easy to understand...

I have the following table for order of operations in Python. It all makes sense except for the unary operation negation. What does it mean that the order of precedence is from right to left? Can I have an example?Symbols - Operator - Type Order of precedence ( ) Parentheses...

I'm trying to read this recent paper (http://arxiv.org/abs/1507.07745) but I don't understand the definition of an "operation" in the paper. It is defined as a set of events on the first page, but I don’t know what an event is in this context. Looks like it’s some kind of function but I can’t...

Hey! :o With the term "elementary operation" we mean to add two digits of the decimal system and to write the result and the carries. How many elementary operations do we need for the addition of two numbers with $n$ digits? (we consider that the addition of two digits together with the carry...

Hi Guys, I'm looking for a good text on operations research and modelling. Specifically, I want to look at developing models for transportation and inventory management. Any good books that you would recommend? Thanks,

I have the following matrix R(x) = [cos(x) -sin(x) ; sin(x) cos(x)] Now consider the unit vectors v = [1;0] and w = [0,1]. Now if we compute R(x)v and R(x)w the vectors are supposed to rotate about the origin by the angle x in a counter clockwise direction. I am struggling to see how this...

Hello! (Wave) I want to write an algorithm that runs in polynomial time and finds the best way to put parenthesis at a given expression so that the result of the operations is maximized. The input of the algorithm should be a sequence $a_0, b_0, a_1, b_1, \dots, a_{m-1}, b_{m-1}, a_m$, where...

Hey Guys, can i have a hand with this question. I just want to know if what I did was right. Bit masking has a task. They are used in order to access specific bits in a byte of data. 1) Using the 8-bit binary number “1001 1101”: Turn off the 2 bits (masking bits to 0) on each side, and then...

Homework Statement Given an 8-bit binary number “1001 1101”: 1)Turn off the 2 bits (masking bits to 0) on each side, and leave the middle 4 alone. The output should be “0001 1100”. Given an 8-bit binary number “1001 1101”: 2) Toggle the values of the middle 4 bits (the opposite of what it...

What is the best major to become an operations research analyst? http://www.bls.gov/ooh/math/operations-research-analysts.htm Most schools don't offer majors in operations research or industrial engineering (mine doesn't!), so what is the next best alternative?

When I am dealing with matrices and the question says compute: $4A +B$ (where $A$ and $B$ are some matrices..) should I assume that they are implying I use the normal mathematical order of operations or is it different? For example should I assume they are saying $(4*A) + B$ or $4(A+B)$

Hello! (Smile)I had a test today in Set theory and that was one of the questions: Define the sum and the product of two cardinal numbers and show that these are well-defined operations.That's what I have tried:Let $A,B$ sets with $A \cap B=\varnothing, card(A)=m, card(B)=n$. We define the sum...

I understand basically what goes on at the LHC: They take protons, run them around the accelerator, they collide in the "experiment centers" such as Atlas and CMS, and then record the results of the collisions from detectors that span out radially from the collision site. That part is clear...

i understand this graph the ordering of the regions make sense to me; cutoff: little/no base current ----> no current anywhere active: base current moderately past V_be -----> linear current amplification saturation: etc but here.. http://']http://i.imgur.com/JpGqXUQ.png what is going...

Hi! (Wave) I am looking at the operations of a static queue. pointer MakeEmptyQueue(void) pointer Q; /* temporary pointer */ Q = NewCell(Queue); /* malloc() */ Q->Front = 0; Q->Length = 0; return Q; I have to find the complexity of the above...

Hi Folks, I have an inertia tensor D in the old Cartesian system which i need to rotate through +90 in y and -90 in z to translate to the new system. I am using standard right hand rule notation for this Cartesian rotation. ##D=...

Hello everyone, The problem I am working on asks me to write a Cayley table for ##D_3## using cycle notation. However, I am having difficult with determining how to operate on a pair of "cycles." Here is my work so far: ##R_0 = e = ()## ##R_{120} = (123)## ##R_{240} = (312)## ##F_T =...

My question is on how to answer if two statements are equal in set theory. Like De'Morgans laws for example. I'm currently reading James Munkres' book "Topology" and am working through the set theory chapters now, and this isn't the first time I've seen the material, but every time I see this...

Can I perform line operations on a matrix product? For example the matrix product ABC and I know that A and C are invertible, can I row reduce to get ICI? Will the product be conserved?

https://mail-attachment.googleusercontent.com/attachment/u/0/?ui=2&ik=ff063a19b0&view=att&th=148f1c9590566f17&attid=0.1&disp=safe&zw&saduie=AG9B_P-_5uo2y5jplL5o_M_vYWte&sadet=1412805844641&sads=ivFuEkpjW55tmUUptu2J4poEUhA So I've been messing around with the Fibonacci sequence and I noticed a...

I'm not sure where this subject is supposed to go but it seemed to fit better here than in calculus and beyond. Homework Statement Formulate the following problem and then use desmos or guess and check to solve it: The magnetic attraction company produces large and small magnets at 2 different...

can anyone recommend me a good text on OR that has a decent amount of questions, preferably with answers and even solutions. I am a hands on learner and my current text doesn't provide too many questions thank you

Homework Statement Often times, a program accepts input from a user, and needs to check the validity of the input, and then produce useful and informative error messages if the input is invalid. Suppose that uiVal is a variable representing the user's input, and that errorCode is an 1-by-0...