Question

Write any 10 important equations that change our life . You can use any 10 equations related to any class .​

Answer 1

Step-by-step explanation:

1. Pythagoras’s Theorem (Pythagoras, 530 BC)

Example triangle

The Pythagorean theorem is the oldest out of the ten listed here, and is almost 2500 years old! This theorem states a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) equals the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the “Pythagorean equation” (stated above), where c represents the length of the hypotenuse and a and b are the lengths of the triangle’s other two sides.

2. Logarithms (John Napier, 1610)

The above equation of the logarithm immediately displays one of its most important applications: it is able to turn multiplication into addition. Years ago, when all calculations had to be done by hand, this property did lead to much faster calculations.

Of course, this is not its only use. As is generally known, the logarithm is an inverse operation, since it is able to undo exponential effects. Furthermore, the logarithm is a very convenient way to express large numbers (the base 10 logarithm of a number is roughly the number of digits in that number: log(98765) ≈ 4.99).

3. Calculus (Newton, 1668)

The above equation is the definition of the derivative in calculus. The derivative measures the rate at which a quantity changes. The derivative has many important applications both from elementary calculus, to multivariate calculus, and far beyond.

4. Normal Distribution (C.F. Gauss, 1810)

Standard normal N(0,1) distribution

The normal distribution is the most important probability distribution in statistics. This is the case since this distribution fits many natural phenomena. This distribution is also known as the Gaussian distribution, named after C.F. Gauss. As can be seen from the picture, it is a symmetric distribution. The normal distribution depends on two parameters: the mean μ and the standard deviation σ. These two parameters define the shape and probabilities of the normal distribution entirely. The mean defines the location of the peak for the normal distribution, and the standard deviation defines the width. Extreme values in both tails of the distribution are similarly unlikely.

The normal distribution is frequently used in applications such as IQ scores measurement errors and height distributions.

5. Square Root of Minus One (R. Descartes, 17th century)

This equation is the foundation of complex numbers, that can be written as a real number multiplied by the imaginary unit i. Complex numbers are used in real-life applications such as electrical circuits.

6. Euler’s Identity (Euler, 1748)

This equation is considered to be an exemplar of mathematical beauty since it shows a profound connection between the most fundamental numbers in mathematics. A poll of readers, conducted by The Mathematical Intelligencer in 1990, named Euler’s identity as the “most beautiful theorem in mathematics”. In another poll of readers, that was conducted by Physics World in 2004, Euler’s identity tied with Maxwell’s equations as the “greatest equation ever”.

7. Maxwell’s Equations (J.C. Maxwell, 1865)

Maxwell’s equations are a set of coupled partial differential equations that, together with the Lorentz force law, form the foundation of classical electromagnetism, classical optics and electric circuits. These equations describe how electric and magnetic fields are generated by charges, currents, and changes of the fields.

An important consequence of Maxwell’s equations is that they demonstrate how fluctuating electric and magnetic fields propagate at a constant speed (c) in a vacuum.

8. Relativity (Einstein, 1905)

This classic equation states that anything having mass has an equivalent amount of energy and vice versa (mass-energy equivalence). The equivalent energy (E) can be calculated as the mass (m) multiplied by the speed of light (c)

Answer 2

There are so many equation that changes our life , You have asked only 10 so I am writing only ten . These are as follows :-

• Pythagoras Theorem
• Second Law of Thermodynamics .
• Einstein Mass Energy equivalance .
• Schrödinger's Equation .
• Maxwell's equations.
• Square root of -1 i.e iota .
• Calculus .
• The Wave Equation .
• Newton's Law of Gravity .
• Fourier's Transform .