Question

Axiomatic Proofs

Prove -(-a)=a for all integers a

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Advanced Math

Related Advanced Math Q&A

Find answers to questions asked by students like you.

Q: Subject: Set Theory

A: To show that Rπ is an equivalence relation on A.The relation Rπ is defined as follows: 

Q: Subject: Elements of Set TheoryGreetings,I am really having difficult time with these problems that ...

A: (a) For n = 2, the equality is

Q: What conditions have to be checked to determine if a function is "well defined"?  How would I show t...

A: Let the function beThen we need to check 3 conditions to prove that the function is Well definedThey...

Q: 3.2 Derive Laplace transforms of the input signals shown in Figs. E3.2 and E3.3 by summing component...

A: To calculate the Laplace transforms of the given functions as described by the graphs

Q: Reduction of order can be used to find the general solution of a non-homogeneous equation. a2(x)y"+a...

A: Consider the given equation:

Q: Prove that the following is one- to one and onto:  f(x) =x3+2

A: To verify that the given function is one -one onto from R to R (R= the set of real numbers)

Q: 1 - One engineer is studying a specific mathematical modeling for one of his projects with the follo...

A: To solve the given linear system of differential equations in two unknowns x(t) and y(t) as function...

Q: Question1-: (Filter generated by a family of sets). Let S ⊆ ℘(X) be nonempty family of subsets of X,...

A: As per norms, question 1 ( 3 subparts ) are answered. The problem concerns filters generated by fami...

Q: Abstract Algebra

A: To prove the existence of infinitely many monic irreducible polynomials over any given field F.

Q: Abstract Algebra (Proof writing): Looking for assistance on this problem.

A: Consider the function φ:Z/6Z ->Z6  ,

Q: 3. Show that closed subspace of a complete metric space is complete. 4. Let f be a continuous mappin...

A: As per norms, the first question is answered: To prove that a closed subspace Y of a complete metric...

Q: pls show me step by step an don't skip the step. thanks

A: To solve the given differential equation using matrix methods

Q: Use five iterations, y6, of Euler's method to obtain an approximation of the indicated value with h=...

A: Consider the provided intitial value problem.

Q: Chapter 1 Section 1.2 19. A section of a gear is shown. Given the formulas below and the circular pi...

A: Formula used: 

Q: The four matrices Sx, Sy, S and I are defined by 0 -1 where i2-1. Show that S I and SS iS,, and obta...

A: Click to see the answer

Q: 5. Sixteen people on a softball team show up for a game. a) How many ways are there to choose 9 play...

A: (a)Total number of people that show up for game is 16.Therefore, number of ways for choosing 9 playe...

Q: Abstract Algebra

A: To find the smallest degree polynomial f(x) with coefficients in Q, such that f(√2+√3)=0.

Q: Solve the given differential equation by using an appropiate substitution. x dx +(y-2x)dy=0

A: Consider the provided differential equation.

Q: Differential equations Find the particular solution to the initial value problem: (x+2)y"+xy'-y=0,  ...

A: Consider the differential equation.

Q: Question attached. Z is a complex variable, z=x+iy

A: To verify the Laplace equation (harmonicity condition ) for the given function and to find its harmo...

Q: 12.15 The Fourier series for the function y(x) = \x( in the range-m x < π is 4cos(2m + 1)x y(x) = 2-...

A: To determine the related functions and the Fourier series based on the given Fourier series

Q: 3. Suppose {fa) is an equicontinuous sequence of functions on a compact set K, and U.) converges poi...

A: Click to see the answer

Q: Let i, j be coprime positive integers, and let R be an integral domain. Prove that (r-y) is a prime ...

A: To show that the ideal generated by x^i-y^j under the given conditions is a prime ideal in the ring ...

Q: z is a complex variable z=x+iy pic attached with question

A: To analyze and classify the singular points of the given function of the complex variable z

Q: I need help answering these introduction to logic questions using the argument forms and how you get...

A: To derive the logic leading to conclusion starting from the given premises

Q: the book is "First Course on Fuzzy Theory and Applications"

A: To prove that the given fuzzy set is convex and to determine the α-cut sets for the given values of ...

Q: pls explain to me step by step. pls dont skip any steps. thanks

A: Proof:The metric defined on R is d (x, y) = |x – y|.In order to prove the real line is a metric spac...

Q: Show that the families defined in Examples 5.3.1, 5.3.2, 5.3.3, and 5.3.4 are in fact uniformities. ...

A:  As per norms , Question 5.3.2 (with multiplie parts)  is answered. (the others may be posted as sep...

Q: the book is "First Course on Fuzzy Theory and Applications"

A: As per norms the first three parts a),b) and c) are answered. To determine the various fuzzy propert...

Q: Following previous picture.

A: The value of the S for the given series can be deduced as follows. 

Q: pls explain to me step by step and dont skip any steps. Thanks

A: Hey, since there are multiple sub-parts posted, we will answer first three sub-parts. If you want an...

Q: 1. Suppose that {an} and {b.) are bounded sequences. Show that lim sup an lim supbn. lim sup an +bn ...

A: As per norms, the first question is answered, To prove the property of lim sup under addition of seq...

Q: Z is a complex variable z=x+iy  question attached as photo

A: Consider the closed integral

Q: I need the solution of Question no 6 only

A: Let the constant perimeter be P = a+b+c, where a, b, c are the sides of the triangle. The triangle a...

Q: A service has five tasks, performed in sequence.  In the instance when there is more than one worker...

A: (a) Compute the capacity of the process as a whole as follows.

Q: Abstract Algebra. Please explain everything in detail.

A: To describe all the field automorphisms of the given field.

Q: See attachment for question.

A: Click to see the answer

Q: Let ϕ : F → R be a ring homomorphism from a field F into a ring R. Prove that if ϕ ( a ) = 0  for so...

A: Consider ϕ : F → R be a ring homomorphism from a field F into a ring R,Since, ϕ ( a ) = 0  for some ...

Q: Proposition: Let e be an edge of a triangulation, where e = AC belongs to the two triangles ABC and ...

A: To prove that D is located outside the circumcircel of the triangle ABC, under the given conditions

Q: 3. Show that closed subspace of a complete metric space is complete. 4. Let f be a continuous mappin...

A: To prove the statements on the topology of metric spaces under the given conditions

Q: Find the point of intersection of the given pair of straight lines x - 4y = -2 x + 2y =4

A: Simplify the equation x-4y=-2 as follows.

Q: I need help for number 4. Thanks!

A: We need to show that

Q: Z is a complex variable z=x+iy  question attached as photo

A: To show the analyticity of the given functions by checking Cauchy-Riemann conditions

Q: 9. A manufacturer wants to layout the parts on a sheet of steel in 14 rows and 6 columns with a spac...

A: Given: 14-rows6-columnsSpace=1/2 between each row and column.First, we calculate the width of the sm...

Q: Solve the differential equation using either the method of undetermined coefficients or Laplace tran...

A: The given equation is y″′+y″+y′+y=e^(-t)+4t.

Q: Q1- Define dA : X → R by dA(x) = inf{d(x,y) : y ∈ A}.
Prove that dA is bounded and uniformly continu...

A: Thank you for the question, since we are entitled to answer only 1 question, we’ll answer the first ...

Q: z is a complex variable z=x+iy pic attached with question

A: To locate the singularities (poles, essential singularities) of the given function.

Q: Can you help me see how to answer this problem step by step?

A: Height of staircase is 106 feet.The number of rises so the height of each rise is as near of 7 inche...

Q: Z is a complex variable, z=x+iy question attached in photo

A: To calculate theline  integral over different paths

Q: Find all point of discontinuityz is a complex variable, z=x+iyf(z)=(1/z)-sec(z)

A: To analyze the behaviour of the given function of the complex variable z.