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What does infinitesimal calculus mean?
Infinitesimal calculus pretty much means non-rigorous calculus, i.e. calculus without the notion of limits to prove its validity. When Newton and Leibniz originally formulated calculus, they used derivatives and integrals in the same manner that they're still used today, but they provided no formalism as to how those techniques were mathematically valid, therefore causing quite a debate as to their worth. The infinitesimals themselves simply had to be accepted as valid, in and of themselves, for the theory to work.
Can an object have zero velocity of the same time that it has acceleration?
Yes, of course; but it will only have zero velocity for one infinitesimal moment. Check your calculus text.
How do you use infinitesimal as a sentence?
How do you use infinitesimal in a sentence? The infinitesimal atoms on the slide were almost impossible to see.
What did gw leibniz invent in math?
Gottfried Wilhelm Leibniz made significant contributions to mathematics, including the invention of calculus independently of Isaac Newton. He developed the concept of infinitesimal calculus and introduced notations such as d/dx for differentiation and ∫ for integration. Leibniz also formulated important ideas in discrete mathematics and made advancements in the field of binary arithmetic, which laid the foundation for modern computer science.
Which is harder calculus or applied calculus?
Calculus; by a long shot.
