Received: from [192.168.123.254] (port=49084 helo=jukni.digitalkingdom.org) by stodi.digitalkingdom.org with smtp (Exim 4.92) (envelope-from ) id 1jucX4-0004rS-RS for jbovlaste-admin@lojban.org; Sun, 12 Jul 2020 07:00:45 -0700 Received: by jukni.digitalkingdom.org (sSMTP sendmail emulation); Sun, 12 Jul 2020 07:00:42 -0700 From: "Apache" To: curtis289@att.net Reply-To: webmaster@lojban.org Subject: [jvsw] Definition Edited At Word fancysuksa -- By gleki Date: Sun, 12 Jul 2020 07:00:42 -0700 MIME-Version: 1.0 Content-Type: text/plain; charset="UTF-8" Message-Id: X-Spam-Score: -1.9 (-) X-Spam_score: -1.9 X-Spam_score_int: -18 X-Spam_bar: - In jbovlaste, the user gleki has edited a definition of "fancysuksa" in the language "English". Differences: 5,5c5,5 < $s_2$ should be a set within some open subset of definition of $f_1$, or a set on which $f_1$ is not defined at all. For $x_3$, an argument of $n$ (number) corresponds to a differentiability class of order $n$ to which $f_1$ does NOT belong at points in set $s_2$; notice that such an n makes no implications about the truth value of $f_1$ belonging to any given differentiability classes of order $mn$; $n=0$ implies that the function is not continuous on that set (lack of definition there is sufficient for such a claim); a function that is discontinuous or which has a cusp or sharp 'corner' in its graph/plot (meaning that its derivative is discontinuous) at points in $s_2$ will have $n ≤ 1$. For now at least, $n$ can be a nonnegative integer; generalizations may eventually be defined. This lujvo is not perfectly algorithmic/predictable. --- > $s_2$ should be a set within some open subset of definition of $f_1$, or a set on which $f_1$ is not defined at all. For $x_3$, an argument of $n$ (number) corresponds to a differentiability class of order $n$, to which $f_1$ does NOT belong at points in set $s_2$; notice that such an $n$ makes no implications about the truth value of $f_1$ belonging to any given differentiability classes of order $mn$; $n=0$ implies that the function is not continuous on that set (lack of definition there is sufficient for such a claim); a function that is discontinuous or which has a cusp or sharp 'corner' in its graph/plot (meaning that its derivative is discontinuous) at points in $s_2$ will have $n≤1$. For now at least, $n$ can be a non-negative integer; generalizations may eventually be defined. This lujvo is not perfectly algorithmic/predictable. Old Data: Definition: function $f_1$ is discontinuous/abrupt/sharply changes locally (in output) on/at $s_2$ (set), with abruptness of type $x_3$ (default: 1) Notes: $s_2$ should be a set within some open subset of definition of $f_1$, or a set on which $f_1$ is not defined at all. For $x_3$, an argument of $n$ (number) corresponds to a differentiability class of order $n$ to which $f_1$ does NOT belong at points in set $s_2$; notice that such an n makes no implications about the truth value of $f_1$ belonging to any given differentiability classes of order $mn$; $n=0$ implies that the function is not continuous on that set (lack of definition there is sufficient for such a claim); a function that is discontinuous or which has a cusp or sharp 'corner' in its graph/plot (meaning that its derivative is discontinuous) at points in $s_2$ will have $n ≤ 1$. For now at least, $n$ can be a nonnegative integer; generalizations may eventually be defined. This lujvo is not perfectly algorithmic/predictable. Jargon: Gloss Keywords: Word: discontinuous function, In Sense: Word: non-smooth function, In Sense: Word: sharp corner, In Sense: of a function Place Keywords: New Data: Definition: function $f_1$ is discontinuous/abrupt/sharply changes locally (in output) on/at $s_2$ (set), with abruptness of type $x_3$ (default: 1) Notes: $s_2$ should be a set within some open subset of definition of $f_1$, or a set on which $f_1$ is not defined at all. For $x_3$, an argument of $n$ (number) corresponds to a differentiability class of order $n$, to which $f_1$ does NOT belong at points in set $s_2$; notice that such an $n$ makes no implications about the truth value of $f_1$ belonging to any given differentiability classes of order $mn$; $n=0$ implies that the function is not continuous on that set (lack of definition there is sufficient for such a claim); a function that is discontinuous or which has a cusp or sharp 'corner' in its graph/plot (meaning that its derivative is discontinuous) at points in $s_2$ will have $n≤1$. For now at least, $n$ can be a non-negative integer; generalizations may eventually be defined. This lujvo is not perfectly algorithmic/predictable. Jargon: Gloss Keywords: Word: discontinuous function, In Sense: Word: non-smooth function, In Sense: Word: sharp corner, In Sense: of a function Place Keywords: You can go to to see it.