shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 25Let S be the set of all vectors v such that v = < x , y, z > with 3x + 4y = 1 and z = 0. Then, x = and…shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 23Let S be the set of all vectors v = in V3 with either x = 0 or y = 0. Assume S is a real linear space. Then, S…shinday (30)in Mathematics • 4 years agoCompilation of Solutions to Tom Apostol's Infamously Rigourous Calculus Textbook (vol. 2)Hello! Someone else has already compiled solutions to all exercises in Tom Apostol's "Calculus", but on for vol. 1.…shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 14Let S be the set of all functions f such that Assume that S is a real linear space. Then, by the addition axioms of…shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 11Let S be the set of all functions ƒ such that for all x in their domain, the function is increasing. In other words…shinday (30)in #mathematics • 4 years ago[Apostol's Calculus] Exercises 1.5: Solution to 5Let S be the set of all functions f such that f (1) = 1 + f (0). Assume that S is a real linear space. Then…shinday (30)in #apostol-calculus • 4 years ago[Apostol's Calculus] Exercises 1.5Notice: These proofs are my own. I am not a professional mathematician. If you notice errors or inconsistencies in…shinday (30)in #mathematics • 4 years agosteemCreated with Sketch.Tom Apostol's "Calculus" vol. 2; My Solutions to ExercisesPlease note this is a work in progress. I will update this page (with links) as I gather more solutions. This is an…shinday (30)in #philosophy • 7 years agoThe Presocratics Part 1 — "Introduction"This is a part of my series on the Presocratics, the Greek philosophers who flourished before and during the life of…shinday (30)in #writing • 7 years agoThe Feynman Technique (Studying Not More, But Stronger)As is the case with all skills, learning is something that takes practice and gradual improvement to do par…shinday (30)in #philosophy • 7 years agoPhilosophy Series on the Pre-Socratics!Hello! I have been reading a lot on the history of Greek philosophy. I have become very interested in this topic due…shinday (30)in #philosophy • 7 years agoOn The Multiverse: The "Nackiverse" Thought ExperimentI feel like everything is conscious. When I say everything, it is crucial to understand what that entails. To "exist"…