#math #Philosophy
In purely abstract terms, can a straight line be a circle with an "infinite" radius?
In purely abstract terms, can a straight line be a circle with an "infinite" radius?
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#math problem 09-11-2026
𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥 𝐂𝐚𝐥𝐜𝐮𝐥𝐮𝐬 𝐀𝐩𝐩𝐥𝐢𝐜𝐚𝐭𝐢𝐨𝐧:
Suppose a lumberjack cuts a wedge-shaped piece (W in the image) from a cylindrical tree of radius "r" by making two saw cuts toward the center of the tree: one horizontal and the other at an angle e of this wedge be calculated using a single integral?
𝐈𝐧𝐭𝐞𝐠𝐫𝐚𝐥 𝐂𝐚𝐥𝐜𝐮𝐥𝐮𝐬 𝐀𝐩𝐩𝐥𝐢𝐜𝐚𝐭𝐢𝐨𝐧:
Suppose a lumberjack cuts a wedge-shaped piece (W in the image) from a cylindrical tree of radius "r" by making two saw cuts toward the center of the tree: one horizontal and the other at an angle e of this wedge be calculated using a single integral?
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𝐌𝐚𝐫𝐱 & 𝐃𝐢𝐟𝐟𝐞𝐫𝐞𝐧𝐭𝐢𝐚𝐥 𝐂𝐚𝐥𝐜𝐮𝐥𝐮𝐬:
Marx’s mistake was treating an algebraic shortcut as a general account of differentiation. In his polynomial examples, he simplified 𝚫𝐲/𝚫𝐱 and then set Δx = 0 in the simplified expression. This gave the correct derivative, evenotient was still undefined at Δx = 0. His “𝟎/𝟎” symbolized the vanished increments.
Reference:
marxists.org/archive/marx/w…
Marx’s mistake was treating an algebraic shortcut as a general account of differentiation. In his polynomial examples, he simplified 𝚫𝐲/𝚫𝐱 and then set Δx = 0 in the simplified expression. This gave the correct derivative, evenotient was still undefined at Δx = 0. His “𝟎/𝟎” symbolized the vanished increments.
Reference:
marxists.org/archive/marx/w…
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#math problem 07-11-2026
A Mathematical reasoning question that appeared on a cognitive assessment at a junior high school in Phoenix (Arizona)
A Mathematical reasoning question that appeared on a cognitive assessment at a junior high school in Phoenix (Arizona)
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