▲ 203 ▼ You don't have the necessary military training (thelemmy.club) submitted 5 months ago by Champoloo@hexbear.net to c/memes@hexbear.net 45 comments fedilink hide all child comments
[–] mathemachristian@hexbear.net 30 points 5 months ago* (last edited 5 months ago) (13 children) permalink fedilink source parent hideshow 13 child comments replies: [–] chgxvjh@hexbear.net 10 points 5 months ago (12 children) What's the area of a circle? permalink fedilink source parent hideshow 12 child comments replies: [–] mathemachristian@hexbear.net 27 points 5 months ago* (last edited 5 months ago) (11 children) It is πr^2^ or, equivalently, 1/2 τr^2^ But wait since π is defined in terms of the diameter it should be 1/4 πD^2^ . In fact look at all these quadratic forms distance fallen in a gravitational field: 1/2 gt^2^ energy of motion: 1/2 mv^2^ speed 1/2 at^2^ area of a circle 1/2 τr^2^ Because when you step up from the linear, one dimensional circumference, and integrate, then the antiderivative should have a 1/2 factor to account for the square when differentiating back. The fact that π cancels this factor, and hides it is to its detriment! Read https://www.tauday.com/tau-manifesto again, specifically section 3. τ is how the circumference of a unit circle should be defined since we use the radius and never the diameter. Anything else is revisionism comrade, do better. permalink fedilink source parent hideshow 11 child comments replies: [–] Muinteoir_Saoirse@hexbear.net 14 points 5 months ago (1 child) I have never seen this before, but one of the courses I have to develop curriculum for includes high school level trigonometry, and I am pretty fucking convinced that for learners (especially with LDs in math), the τ circle constant is conceptually easier to understand. The page is absolutely correct that showing a new learner the special angles with τ is a much simpler point of entry than the special angles relative to π (Figures 8 and 10). Thanks for sharing! permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 8 points 5 months ago A class full of young tauists sounds sick and I fully agree that it's conceptually much easier (simply by virtue of being the trivial definition). In application however pi still reigns supreme, so if they use calculators for instance there will be a constant translation effort (remember to multiply with 2, or was it halve it??) that could be frustrating. You have the coolest job ever though much props permalink fedilink source parent [–] chgxvjh@hexbear.net 11 points 5 months ago (1 child) fuck permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 10 points 5 months ago A new disciple is born permalink fedilink source parent [–] codexarcanum@lemmy.dbzer0.com 8 points 5 months ago (1 child) I bow in honor to your arguments and flawless custom emoji usage. I'm a tauist, but you are a true sage of the Way! permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 3 points 5 months ago 🥰 permalink fedilink source parent [–] chgxvjh@hexbear.net 8 points 5 months ago (1 child) since π is defined in terms of the diameter it should be 1/4 πD2 . That's just Tau propaganda permalink fedilink source parent hideshow 1 child comment replies: [–] Blakey@hexbear.net 5 points 5 months ago* Um, uh. WH40k! permalink fedilink source parent [–] ChaosMaterialist@hexbear.net 7 points 5 months ago :beanis: Folks, we have the best posters :deep-nesting: Everybody in the :fedposting:iverse is saying it! :freedom-and-democracy: permalink fedilink source parent [–] Abracadaniel@hexbear.net 7 points 5 months ago permalink fedilink source parent [–] pierre_delecto@lemmygrad.ml 2 points 5 months ago thanks for sharing, I've never heard of this before but it does seem easier to understand intuitively. permalink fedilink source parent
[–] chgxvjh@hexbear.net 10 points 5 months ago (12 children) What's the area of a circle? permalink fedilink source parent hideshow 12 child comments replies: [–] mathemachristian@hexbear.net 27 points 5 months ago* (last edited 5 months ago) (11 children) It is πr^2^ or, equivalently, 1/2 τr^2^ But wait since π is defined in terms of the diameter it should be 1/4 πD^2^ . In fact look at all these quadratic forms distance fallen in a gravitational field: 1/2 gt^2^ energy of motion: 1/2 mv^2^ speed 1/2 at^2^ area of a circle 1/2 τr^2^ Because when you step up from the linear, one dimensional circumference, and integrate, then the antiderivative should have a 1/2 factor to account for the square when differentiating back. The fact that π cancels this factor, and hides it is to its detriment! Read https://www.tauday.com/tau-manifesto again, specifically section 3. τ is how the circumference of a unit circle should be defined since we use the radius and never the diameter. Anything else is revisionism comrade, do better. permalink fedilink source parent hideshow 11 child comments replies: [–] Muinteoir_Saoirse@hexbear.net 14 points 5 months ago (1 child) I have never seen this before, but one of the courses I have to develop curriculum for includes high school level trigonometry, and I am pretty fucking convinced that for learners (especially with LDs in math), the τ circle constant is conceptually easier to understand. The page is absolutely correct that showing a new learner the special angles with τ is a much simpler point of entry than the special angles relative to π (Figures 8 and 10). Thanks for sharing! permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 8 points 5 months ago A class full of young tauists sounds sick and I fully agree that it's conceptually much easier (simply by virtue of being the trivial definition). In application however pi still reigns supreme, so if they use calculators for instance there will be a constant translation effort (remember to multiply with 2, or was it halve it??) that could be frustrating. You have the coolest job ever though much props permalink fedilink source parent [–] chgxvjh@hexbear.net 11 points 5 months ago (1 child) fuck permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 10 points 5 months ago A new disciple is born permalink fedilink source parent [–] codexarcanum@lemmy.dbzer0.com 8 points 5 months ago (1 child) I bow in honor to your arguments and flawless custom emoji usage. I'm a tauist, but you are a true sage of the Way! permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 3 points 5 months ago 🥰 permalink fedilink source parent [–] chgxvjh@hexbear.net 8 points 5 months ago (1 child) since π is defined in terms of the diameter it should be 1/4 πD2 . That's just Tau propaganda permalink fedilink source parent hideshow 1 child comment replies: [–] Blakey@hexbear.net 5 points 5 months ago* Um, uh. WH40k! permalink fedilink source parent [–] ChaosMaterialist@hexbear.net 7 points 5 months ago :beanis: Folks, we have the best posters :deep-nesting: Everybody in the :fedposting:iverse is saying it! :freedom-and-democracy: permalink fedilink source parent [–] Abracadaniel@hexbear.net 7 points 5 months ago permalink fedilink source parent [–] pierre_delecto@lemmygrad.ml 2 points 5 months ago thanks for sharing, I've never heard of this before but it does seem easier to understand intuitively. permalink fedilink source parent
[–] mathemachristian@hexbear.net 27 points 5 months ago* (last edited 5 months ago) (11 children) It is πr^2^ or, equivalently, 1/2 τr^2^ But wait since π is defined in terms of the diameter it should be 1/4 πD^2^ . In fact look at all these quadratic forms distance fallen in a gravitational field: 1/2 gt^2^ energy of motion: 1/2 mv^2^ speed 1/2 at^2^ area of a circle 1/2 τr^2^ Because when you step up from the linear, one dimensional circumference, and integrate, then the antiderivative should have a 1/2 factor to account for the square when differentiating back. The fact that π cancels this factor, and hides it is to its detriment! Read https://www.tauday.com/tau-manifesto again, specifically section 3. τ is how the circumference of a unit circle should be defined since we use the radius and never the diameter. Anything else is revisionism comrade, do better. permalink fedilink source parent hideshow 11 child comments replies: [–] Muinteoir_Saoirse@hexbear.net 14 points 5 months ago (1 child) I have never seen this before, but one of the courses I have to develop curriculum for includes high school level trigonometry, and I am pretty fucking convinced that for learners (especially with LDs in math), the τ circle constant is conceptually easier to understand. The page is absolutely correct that showing a new learner the special angles with τ is a much simpler point of entry than the special angles relative to π (Figures 8 and 10). Thanks for sharing! permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 8 points 5 months ago A class full of young tauists sounds sick and I fully agree that it's conceptually much easier (simply by virtue of being the trivial definition). In application however pi still reigns supreme, so if they use calculators for instance there will be a constant translation effort (remember to multiply with 2, or was it halve it??) that could be frustrating. You have the coolest job ever though much props permalink fedilink source parent [–] chgxvjh@hexbear.net 11 points 5 months ago (1 child) fuck permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 10 points 5 months ago A new disciple is born permalink fedilink source parent [–] codexarcanum@lemmy.dbzer0.com 8 points 5 months ago (1 child) I bow in honor to your arguments and flawless custom emoji usage. I'm a tauist, but you are a true sage of the Way! permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 3 points 5 months ago 🥰 permalink fedilink source parent [–] chgxvjh@hexbear.net 8 points 5 months ago (1 child) since π is defined in terms of the diameter it should be 1/4 πD2 . That's just Tau propaganda permalink fedilink source parent hideshow 1 child comment replies: [–] Blakey@hexbear.net 5 points 5 months ago* Um, uh. WH40k! permalink fedilink source parent [–] ChaosMaterialist@hexbear.net 7 points 5 months ago :beanis: Folks, we have the best posters :deep-nesting: Everybody in the :fedposting:iverse is saying it! :freedom-and-democracy: permalink fedilink source parent [–] Abracadaniel@hexbear.net 7 points 5 months ago permalink fedilink source parent [–] pierre_delecto@lemmygrad.ml 2 points 5 months ago thanks for sharing, I've never heard of this before but it does seem easier to understand intuitively. permalink fedilink source parent
[–] Muinteoir_Saoirse@hexbear.net 14 points 5 months ago (1 child) I have never seen this before, but one of the courses I have to develop curriculum for includes high school level trigonometry, and I am pretty fucking convinced that for learners (especially with LDs in math), the τ circle constant is conceptually easier to understand. The page is absolutely correct that showing a new learner the special angles with τ is a much simpler point of entry than the special angles relative to π (Figures 8 and 10). Thanks for sharing! permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 8 points 5 months ago A class full of young tauists sounds sick and I fully agree that it's conceptually much easier (simply by virtue of being the trivial definition). In application however pi still reigns supreme, so if they use calculators for instance there will be a constant translation effort (remember to multiply with 2, or was it halve it??) that could be frustrating. You have the coolest job ever though much props permalink fedilink source parent
[–] mathemachristian@hexbear.net 8 points 5 months ago A class full of young tauists sounds sick and I fully agree that it's conceptually much easier (simply by virtue of being the trivial definition). In application however pi still reigns supreme, so if they use calculators for instance there will be a constant translation effort (remember to multiply with 2, or was it halve it??) that could be frustrating. You have the coolest job ever though much props permalink fedilink source parent
[–] chgxvjh@hexbear.net 11 points 5 months ago (1 child) fuck permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 10 points 5 months ago A new disciple is born permalink fedilink source parent
[–] mathemachristian@hexbear.net 10 points 5 months ago A new disciple is born permalink fedilink source parent
[–] codexarcanum@lemmy.dbzer0.com 8 points 5 months ago (1 child) I bow in honor to your arguments and flawless custom emoji usage. I'm a tauist, but you are a true sage of the Way! permalink fedilink source parent hideshow 1 child comment replies: [–] mathemachristian@hexbear.net 3 points 5 months ago 🥰 permalink fedilink source parent
[–] chgxvjh@hexbear.net 8 points 5 months ago (1 child) since π is defined in terms of the diameter it should be 1/4 πD2 . That's just Tau propaganda permalink fedilink source parent hideshow 1 child comment replies: [–] Blakey@hexbear.net 5 points 5 months ago* Um, uh. WH40k! permalink fedilink source parent
[–] ChaosMaterialist@hexbear.net 7 points 5 months ago :beanis: Folks, we have the best posters :deep-nesting: Everybody in the :fedposting:iverse is saying it! :freedom-and-democracy: permalink fedilink source parent
[–] pierre_delecto@lemmygrad.ml 2 points 5 months ago thanks for sharing, I've never heard of this before but it does seem easier to understand intuitively. permalink fedilink source parent
