Temperature Conversion FormulaIn this page we are going to discuss about
temperature Conversion concept.
Measurement is one of the important terms in day to day life. Temperature is usual y
measured in terms of Fahrenheit and Celsius. Temperature of is generally in terms of
these two names.
Fahrenheit:
The degree Fahrenheit is usual y represented as (F). Fahrenheit is names after the
German scientist Gabriel Fahrenheit, who invented the Fahrenheit measurement. The
zero degree in the Fahrenheit scale represents the lowest temperature recording.
Celsius:
The degree Celsius is usual y represented as (C). Celsius is names after the Swedish
astronomer Ander Celsius, who proposed the Celsius first. In Celsius temperature
scale, water freezing point is given as 0 degrees and the boiling point of water is 100
de
grees at standard atmospheric pressure.
Know More About What is the Dependent Variable
Fahrenheit to Celsius Conversion FormulaThe formula for converting Fahrenheit to Celsius conversion is given as,
Tc = (5/9)*(Tf - 32)
Where,
Tc = temperature in degrees Celsius,
Tf = temperature in degrees
Celsius to Fahrenheit Conversion Formula:
The formula for converting Celsius to Fahrenheit conversion is given as,
Tf = (9/5)*Tc+32
Where,
Tc = temperature in degrees Celsius,
Tf = temperature in degrees Fahrenheit.
Learn More About Definition of Dependent Variable
Temperature Conversion ExamplesBelow are the examples on fahrenheit to celsius conversion problems :
Example 1 : Convert 68 degree Fahrenheit to degree Celsius.
Solution:
The formula for converting Fahrenheit to Celsius conversion is,
Tc= (59)*(Tf - 32)
Tc= 68
Tc= (59) * (68 - 32)
Tc= (59) * 36
Dividing 36 by 9, we get 4,
Tc= 5 * 4
Tc= 20 degree.
Th
e answer is 20 degree Celsius
Fundamental Theorem of AlgebraThe word 'algebra' has its origin from the Greek language, which meansthe number
system. It is a branch of Mathematics which deals with numbers.
Actual y speaking, it is an elementary part of a vast branch namely 'Algebra'. Algebra is
indeed the most sought after area for present research scientists in Mathematics.
Fundamental Theorem of Algebra is one of the most elementary and most useful
result in algebra. It has many generalizations as we go into deeper levels of Algebra.
Its generalizations include fundamental theorem of arithmetic for integers. Fundamental
theorem of algebra for Ring of Polynomials in Ring Theory, etc.
Prime numbers are the basic building blocks fornatural number system. Factorizing a
number into products of prime numbers helps us to find its divisors in an easy way.
Fundamental theorem of algebra further emphasizes their importance.
Fundamental Theorem of Algebra ProofThe fundamental theorem of algebra is factorizing a polynomial completely and every
polynomial function must have at least one zero.
If f (x) is a polynomial of degree n, n > 0, then f has at least one zero in the complex
number system. Using the fundamental theorem and the relationship between zeros
and factors, we can derive the theorem.
If f (x) is a polynomial of degree n, n > 0, then f has precisely n linear factors.
f(x) = a (x - k1 )(x - k2 )................(x - kn )
where k1, k2, ......, kn are complex number and a is the leading coefficient in algebra.
Example:
Consider any natural number, say 6936. Try to factories it into products of prime
numbers.
6936 =23x 3 x 172
By seeing this, one may usually ask the fol owing questions :
Can this kind of factorization be done for every natural number?
If so, is the factorization unique?
Read More About What is the Independent Variable in an Experiment
Fundamental Theorem of Algebra answers these questions. Before we start to explore
what the actual theorem is about, we need a smal but interesting lemma by Euclid,
which is stated and proved below.
Euclid's Lemma:
Euclid's Lemma is stated as fol ows:
Statement:
Let p be a prime number and m, n be two natural numbers. Suppose that p divides the
product mn. Then the lemma says that p should either divide m or n.
Proof:
Assume that p doesn't divide m. We wil show that p divides n.
Since p doesn't divide m and since p is a prime number, the greatest common divisor of
p and m wil be 1. Hence by Bezout's identity , there exists two integers x and y such
that mx + py = 1.
Multiplying both sides of the equation by n, we get mnx + pny = n.
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