![]() |
| If this is your first visit, be sure to check out the FAQ by clicking the link above. You may have to register before you can post: click the register link above to proceed. To start viewing messages, select the forum that you want to visit from the selection below. |
|
|||||||
| Tags: algebra, ones, regarding, rule |
|
|
|
Thread Tools | Display Modes |
|
#11
|
|||
|
|||
|
"Donald G. Shead" wrote in message om...
"Mark Mallory" wrote in message ... Chergarj wrote: Can you use ones [1's] indescriminately in algebra? If not why not... You could, but you would either be wasteful in your steps, or wrong in your steps, depending on the context of your quantitative endeaver. Was that question serious? Yes it is serious: Many years ago I overheard a H.S. algebra teacher tell his class _something to the effect_ that the number one [1] was such that it didn't change the value (of an equation) when it was inserted in an equation. That made a lasting impression, since I didn't understand then, and don't now: If you multiply 1 by something in the equation, it will not change the meaning of the equation, because any number multiplied by 1 is still the same number. For example, xy - st^2 = sx + 3 + sqrt(y-456) is the same as 1xy - 1st^2 = 1sx + 1*3 + 1sqrt(1y-1*456) This is probably the wrong newsgroup to be asking math questions. Future math questions, unless they relate directly to physics, should probably be posted to sci.math. |
| Ads |
|
#12
|
|||
|
|||
|
"Donald G. Shead" wrote in message om...
"Mark Mallory" wrote in message ... Chergarj wrote: Can you use ones [1's] indescriminately in algebra? If not why not... You could, but you would either be wasteful in your steps, or wrong in your steps, depending on the context of your quantitative endeaver. Was that question serious? Yes it is serious: Many years ago I overheard a H.S. algebra teacher tell his class _something to the effect_ that the number one [1] was such that it didn't change the value (of an equation) when it was inserted in an equation. That made a lasting impression, since I didn't understand then, and don't now: In particular: Writing that acceleration [a] is _inversely_ proportional to the mass [m] of a body, as [a is proportional to 1/m]. That somehow doesn't look 'copesthetic' to me; especially if 'm' is a variable. I think you've just about got it. You can multiply or divide any term or variable in an equation by 1 and still keep the equation in balance. In your paricular case, if you have a = F/m then multiplying the variable F by 1 we have a = (F*1)/m which is the same as a = F * 1/m so a is directly proportional to F and inversely proportional to m. Double-A |
|
#13
|
|||
|
|||
|
In article ,
"Constantine" wrote: "Paul Cardinale" wrote in message m... "Donald G. Shead" wrote in message . com... Can you use ones [1's] indescriminately in algebra? If not why not... Yes, of course. For example, start with: a + b = c, then we can put in as many ones as we like: a + b + 1 + 1 + 1 + 1 ... = c. You can be as indiscriminate as you like with the ones, and you'll be as right as you always are. Please, tell me that this was a joke... GRIN Read the last phrase "you'll be as right as you always are". Now, consider the fact that he's wrong 100% of the time. /BAH Subtract a hundred and four for e-mail. |
|
#14
|
|||
|
|||
|
"Constantine" wrote in message ...
"Paul Cardinale" wrote in message ... "Donald G. Shead" wrote in message om... Can you use ones [1's] indescriminately in algebra? If not why not... Yes, of course. For example, start with: a + b = c, then we can put in as many ones as we like: a + b + 1 + 1 + 1 + 1 ... = c. You can be as indiscriminate as you like with the ones, and you'll be as right as you always are. Please, tell me that this was a joke... Kostas. The first two sentences are sarcastic in the extreme. The third is an accurate statement (when applied to the OP). Perhaps you need to boost the sensitivity of your sarcasm meter. Paul Cardinale |
|
#15
|
|||
|
|||
|
"Donald G. Shead" wrote in message ...
"Constantine" wrote in message ... "Paul Cardinale" wrote in message ... "Donald G. Shead" wrote in message om... Can you use ones [1's] indescriminately in algebra? If not why not... Yes, of course. For example, start with: a + b = c, then we can put in as many ones as we like: a + b + 1 + 1 + 1 + 1 ... = c. You can be as indiscriminate as you like with the ones, and you'll be as right as you always are. Please, tell me that this was a joke... Kostas. 'Fess-up Paul: That you did it because you are scared as all get out that Shead's simplicity will upset the applecart: Maybe even shake-up the gravyboat and a few gravytrains too(:-) We are as afraid of you as we are of mosquitoes (and we respect you as much). Psul Cardinale |
|
#16
|
|||
|
|||
|
|
|
#17
|
|||
|
|||
|
|
|
#18
|
|||
|
|||
|
|
|
| Thread Tools | |
| Display Modes | |
|
|
Similar Threads
|
||||
| Thread | Thread Starter | Forum | Replies | Last Post |
| Standard-model and spacetime algebra | John Baez | Physics - General Discussion | 1 | August 28th 03 08:40 PM |
| When Will Penguins Rule this Planet ? | Uncle Al | Physics - General Discussion | 0 | July 2nd 03 09:43 PM |