new journal! yesterday i migrated into a new @leuchtturm1917 a5 dot journal (in sand) with this new future log!
;;;; stickers from the future log are from the lovely @maryberrystudy ! they’re super cute and go well with this rainbow spread :”) check out her etsy + use code vanessa10 for 10% off if ya like 🤧
The method of induction requires two cases to be proved. The first case, called the base case (or, sometimes, the basis), proves that the property holds for the number 0. The second case, called the induction step, proves that, if the property holds for one natural number n, then it holds for the next natural number n + 1. These two steps establish the property P(n) for every natural number n = 0, 1, 2, 3, ... The base step need not begin with zero. Often it begins with the number one, and it can begin with any natural number, establishing the truth of the property for all natural numbers greater than or equal to the starting number.
The method can be extended to prove statements about more general well-founded structures, such as trees; this generalization, known as structural induction, is used in mathematical logic and computer science. Mathematical induction in this extended sense is closely related to recursion. Mathematical induction, in some form, is the foundation of all correctness proofs for computer programs.
Although its name may suggest otherwise, mathematical induction should not be misconstrued as a form of inductive reasoning as used in philosophy (also see Problem of induction). Mathematical induction is an inference rule used in formal proofs. Proofs by mathematical induction are, in fact, examples of deductive reasoning.
#Mathematics #Statistics#STEM#Student ; ( #NewYorkCity#Manhattan#WestVillage#WallSt#LowerManhattan#MidTownManhattan#UpperEastSide#Chelsea#GreenWichVillage#Finance#Data#Analyst )
1 day ago
take time to write very day! It clears your mind. It boosts your focus.