Give the proofs in mathematics, Mathematics

Assignment Help:

Give the Proofs in Mathematics ?

1 Two-column deductive proof

Proof:
Statements                                                              Reasons
* Start with given conditions or                                  * Given information
with a conclusion based on a diagram                           * Definitions
and label all the statements sequentially.                       * Postulates
* Develop a chain of reasoning. Write                            * Previously proved theorems
each logical step as a separate statement                      * Algebraic properties
with a corresponding reason.
* Continue the above steps until a statement
corresponding to the conclusion of the
original argument is reached.

The two-column deductive proof uses a direct method to prove an argument in a finite number of sequential steps. In geometry, the two-column deductive proof is the most common and powerful method and is usually referred to as a "formal" proof.

2 Indirect method of proof

1. From the given information, list all the possibilities including the given conclusion.

2. Prove that all possibilities other than the given conclusion are false.

3. Therefore, only the given conclusion is true.

3 Counterexample proof


Related Discussions:- Give the proofs in mathematics

Estimate how much should every friend pay, A group of ?ve friends gone out ...

A group of ?ve friends gone out to lunch. The total bill for the lunch was $53.75. Their meals all cost about the similar, so they needed to split the bill evenly. Without consider

Determine the approximate raw act score, Using the same mean and standard d...

Using the same mean and standard deviation as mean m = 20.1 and a standard deviation s = 5.8. Joe was informed that he scored at the 68 th percentile on the ACT, what was Joe's ap

The achievements from math, i love math..but i am afraid to study it... i m...

i love math..but i am afraid to study it... i mean i ma afraid that it may leave me in clay...what can you suggest me?

Rules of integration, Rules of Integration 1. If ...

Rules of Integration 1. If 'k' is a constant then ∫Kdx =  kx + c 2. In

Problem Solving, the low temperature in anchorage alaska today was negative...

the low temperature in anchorage alaska today was negative four degrees what is the difference in the two low temperatures

How to grow your brand with existing customers., "To grow your brand, you n...

"To grow your brand, you need to encourage your existing customers to buy your product a liitle more often. It is far more important to maximise the number of times your buyers buy

Definition of relation, Definition of Relation A relation is a set of o...

Definition of Relation A relation is a set of ordered pairs. It seems like an odd definition however we'll require it for the definition of a function though, before actuall

Function, f(x)=x^2-5x+6, determine inverse of f(x)!

f(x)=x^2-5x+6, determine inverse of f(x)!

Complex number, a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.fi...

a ,b,c are complex numbers such that a/1-b=b/1-c=c-1-a=k.find the value of k

Linear code with generator matrix , 1. Consider the code of size 4 (4 codew...

1. Consider the code of size 4 (4 codewords) and of length 10 with codewords listed below. 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1 1

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd