The prime uses phrases like "open sentence"...

[Craig Thomas]

For those who know, when did this come into vogue and why?

Is this a US thing, or does it see wider use?

[DrD]

Could you cite a sentence referring to "open sentence..." in a sentence?

For example, "He drank so much all he could do was ...," <expletive deleted>. An open sentence, and you can fill in expletive's as your mind may elect.

[Joe Horn]

(06-01-2014 07:22 AM)Craig Thomas Wrote:  For those who know, when did this come into vogue and why?

Is this a US thing, or does it see wider use?

According to dictionary.com, "open sentence" dates back to around 1935-40. It doesn't say whether it's an Americanism or not. A good article about open sentences can be found here.

[DrD]

There could be a judicial interpretation: " He was banished to the dungeon for an open sentence..." Such an interpretation could flow back to antiquity, with national origin ambiguous..., just to prolong an open sentence.

[DrD]

Would the definition of a transcendental number be an open sentence? If so, perhaps the origin might be from Summerian sources, or another planet such as Nibiru (planet X)?

[Craig Thomas]

....laughing.....

[Tim Wessman]

Basically, how does one describe the form of '<something>=<something>' when NEARLY ALL users because confused regarding the use of "equation" when they saw the adv graphing symb screen?

Users are just so used to seeing the y= form that they couldn't associate any other form of entry for a graphing screen. There had to be some way to indicate that "this is not a normal graphing entry item" that distinguished it from the "normal equation" for drawing a graph. We tried several things, and that was the one that was most understood by testers and worked better then anything else.

[Han]

From Mathematical Proofs, 3rd ed. (page 38):

Quote:In general, an open sentence is a declarative sentence that contains one or more variables, each variable representing a value in some pre described set, called the domain of the variable, and which becomes a statement when values from their respective domains are substituted for these values.

A statement is simply a declarative sentence or assertion that is true or false (but not both).

These are terms typically introduced in a formal logic class. In the case of the HP Prime, I only know of the use of open sentence in the Advanced Graphing app, since it indeed creates a plot-point based on the truth value of the open sentence after substation of X and Y values into the sentence.

[Craig Thomas]

(06-02-2014 02:18 PM)Tim Wessman Wrote:  Basically, how does one describe the form of '<something>=<something>' when NEARLY ALL users because confused regarding the use of "equation" when they saw the adv graphing symb screen?

Users are just so used to seeing the y= form that they couldn't associate any other form of entry for a graphing screen. There had to be some way to indicate that "this is not a normal graphing entry item" that distinguished it from the "normal equation" for drawing a graph. We tried several things, and that was the one that was most understood by testers and worked better then anything else.

Thanks Tim.