Most important formulas
Day-2
This image displays a fundamental result in number theory known as Fermat's Little Theorem. Formula: The equation (a^(p-1)=1 (mod p) states that if (p) is a prime number and (a) is an integer not divisible by (p), then (a^{p-1}) leaves a remainder of 1 when divided by (p).
Alternative Form: An equivalent form of the theorem is a^p = a (mod p), which holds true for all integers (a) .
@edmathlab
Day-2
This image displays a fundamental result in number theory known as Fermat's Little Theorem. Formula: The equation (a^(p-1)=1 (mod p) states that if (p) is a prime number and (a) is an integer not divisible by (p), then (a^{p-1}) leaves a remainder of 1 when divided by (p).
Alternative Form: An equivalent form of the theorem is a^p = a (mod p), which holds true for all integers (a) .
@edmathlab
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Most important formulas
Day-3
The above equation represents the Jordan normal form of a matrix A. This form is a canonical representation of a square matrix over a field. J is the Jordan matrix, which is a block diagonal matrix composed of Jordan blocks. P is an invertible matrix. The concept is named after the French mathematician Camille Jordan, who discovered it.
@edmathlab
Day-3
The above equation represents the Jordan normal form of a matrix A. This form is a canonical representation of a square matrix over a field. J is the Jordan matrix, which is a block diagonal matrix composed of Jordan blocks. P is an invertible matrix. The concept is named after the French mathematician Camille Jordan, who discovered it.
@edmathlab
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An equilateral triangle has only two of its sides equal. True or false?
Anonymous Quiz
24%
True
76%
False
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Find the derivative of
f(x) =3x⁴-5x²+7
f(x) =3x⁴-5x²+7
Anonymous Quiz
17%
f'(x) = 12x³ +10x
36%
f'(x) = 12x³ - 10x²
47%
f'(x) = 12x³-10x
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DAY-4
MOST IMPORTANT FORMULAS
The image displays the Black-Scholes equation, a fundamental mathematical model in financial derivatives, often called the "Trillion Dollar Equation" due to its impact on modern finance.
Purpose: It is a partial differential equation used to price options and other financial derivatives.
Significance: It laid the groundwork for the multi-trillion dollar options market.
@edmathlab
MOST IMPORTANT FORMULAS
The image displays the Black-Scholes equation, a fundamental mathematical model in financial derivatives, often called the "Trillion Dollar Equation" due to its impact on modern finance.
Purpose: It is a partial differential equation used to price options and other financial derivatives.
Significance: It laid the groundwork for the multi-trillion dollar options market.
@edmathlab
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MATHS 🧮 LAB 🔬
The square of an odd integer is always odd.
The square of an odd integer n is always odd because it can be expressed in the form 2m+1. Since any odd integer is n = 2k + 1, its square is (2k+1)²=4k²+4k+1=2(2k²+2k)+1, which fits the definition of an odd number.
Examples
3² = 9 (Odd)
5² = 25 (Odd)
7² = 49 (Odd)
@edmathlab
Examples
3² = 9 (Odd)
5² = 25 (Odd)
7² = 49 (Odd)
@edmathlab
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MATHS 🧮 LAB 🔬
Pi is a rational number
Pi is an irrational number. It cannot be expressed as a simple fraction (a ratio of two integers), and its decimal representation never ends or repeats. While approximations like 22/7 or 3.14 are used, the actual value is approximately 3.14159 and continues infinitely.
@edmathlab
@edmathlab
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