#mathtips — Public Fediverse posts
Live and recent posts from across the Fediverse tagged #mathtips, aggregated by home.social.
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Alright, future engineers!
**Logarithms:** The inverse of exponentiation. They tell you what power a base needs to become a specific number.
Ex: `log_b(x) = y` is equivalent to `b^y = x`. So `log_2(8)=3` means `2^3=8`.
Pro-Tip: Use them to solve for variables *stuck in exponents*!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Logarithms:** The inverse of exponentiation. They tell you what power a base needs to become a specific number.
Ex: `log_b(x) = y` is equivalent to `b^y = x`. So `log_2(8)=3` means `2^3=8`.
Pro-Tip: Use them to solve for variables *stuck in exponents*!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Quadratic Formula:** Solves `ax^2+bx+c=0` for x.
Ex: `x = [-b +/- sqrt(b^2-4ac)] / 2a`
Pro-Tip: The discriminant `(b^2-4ac)` tells you if roots are real or complex & how many there are!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Quadratic Formula:** Solves `ax^2+bx+c=0` for x.
Ex: `x = [-b +/- sqrt(b^2-4ac)] / 2a`
Pro-Tip: The discriminant `(b^2-4ac)` tells you if roots are real or complex & how many there are!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Trapezoidal Rule:** Approximates definite integrals (area under a curve) by summing trapezoid areas.
Ex: For 1 segment, `Area ~ (f(a)+f(b))*h/2`
Pro-Tip: Smaller step size (h) yields greater accuracy, but at a computational cost!
#NumericalIntegration #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Logarithms:** The exponent a base needs to become a number.
Ex: `log_2(8)=3` means `2^3=8`.
Pro-Tip: `log` IS the exponent! Essential for solving `x` in `b^x=N`.
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Logarithms:** The exponent a base needs to become a number.
Ex: `log_2(8)=3` means `2^3=8`.
Pro-Tip: `log` IS the exponent! Essential for solving `x` in `b^x=N`.
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Absolute Value:** The distance of a number from zero. It's always non-negative.
Ex: `|x| = x` if `x >= 0`, and `|x| = -x` if `x < 0`.
Pro-Tip: When solving equations/inequalities, remember to consider BOTH positive and negative cases for the expression inside the bars!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Absolute Value:** The distance of a number from zero. It's always non-negative.
Ex: `|x| = x` if `x >= 0`, and `|x| = -x` if `x < 0`.
Pro-Tip: When solving equations/inequalities, remember to consider BOTH positive and negative cases for the expression inside the bars!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
A Logarithm (log) tells you what exponent a base needs to become another number.
Ex: `log_b(x) = y` means `b^y = x`.
Pro-Tip: Logs turn multiplication into addition, simplifying complex calculations!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
A Logarithm (log) tells you what exponent a base needs to become another number.
Ex: `log_b(x) = y` means `b^y = x`.
Pro-Tip: Logs turn multiplication into addition, simplifying complex calculations!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Logarithm:** The exponent you raise a base to get a certain number. `log_b(x) = y` means `b^y = x`.
Ex: `log_10(100) = 2` (because `10^2 = 100`).
Pro-Tip: They turn multiplication/division into addition/subtraction – super useful for simplifying!
#Algebra #MathTips #STEM #StudyNotes -
Alright, future engineers!
**Logarithm:** The exponent you raise a base to get a certain number. `log_b(x) = y` means `b^y = x`.
Ex: `log_10(100) = 2` (because `10^2 = 100`).
Pro-Tip: They turn multiplication/division into addition/subtraction – super useful for simplifying!
#Algebra #MathTips #STEM #StudyNotes -
Basic algorithms to understand the Gauss summation formula: to find the sum of numbers from 1 to 5, use the formula: 5 * (5 + 1) / 2 = 15. ✨🧮 #MathTips #GaussFormula #Learning #Education #Algorithms medium.com/@jhuang9240/...
Algorithm Shortcut: Gauss’ For...
