Nov 25, 2007 · The discussion centers on finding the derivative of the volume of a cone, represented by the formula V = (1/3)πr²h. Participants clarify that to compute the derivative, one must identify the …

Aug 29, 2025 · In Dirac's Principles of Quantum Mechanics published in 1930 he introduced a "convenient notation" he referred to as a "delta function" which he treated as a continuum analog to …

Aug 27, 2011 · The discussion clarifies that 'k' in the equation 1/2mv² = kQq/r represents the Coulomb constant, valued at approximately 8.988 x 10^9 Nm²/C². It is defined as k = 1/4πε₀, where ε₀ is the …

Jul 20, 2009 · The discussion clarifies the distinction between the functions arctan (x) and cot (x). Arctan (x), defined as tan -1 (x), is the inverse function of tan (x), while cot (x) is defined as 1/tan (x). The …

Oct 9, 2015 · The wave number k = 2π/λ . But is defined as radians per unit distance. What is the correlation here between the wavelength and radians ?

4 days ago · I’m not looking for the final equations themselves, but rather an explanation of the physical and geometric ideas used to construct constraint equations in systems involving strings and pulleys. …

Jan 16, 2017 · Introduction: The purpose of this Insight is to explain permanent magnets in a way that is in agreement with advanced textbooks on the subject, and that emphasizes the results in these …

May 6, 2009 · The carbonate ion (CO3^2-) is a polyatomic anion consisting of one carbon atom and three oxygen atoms, carrying a total charge of -2 due to the presence of two additional electrons …

Dec 23, 2015 · The discussion centers on the proof of the product rule for gradients involving the del operator (∇) and the dot product of vector fields A and B. It clarifies that while the dot product A·B …

Mar 30, 2020 · Engineering news on Phys.org Researchers figure out optimal stiffness-toughness trade-off Research team develops metamaterial to enable real-time shape and property control New kinds …