There is a subtle distinction between Euclidean, Hilbert and Non-Euclidean planes. Euclidean planes are those that satisfy the 5 axioms, while Non-Euclidean planes do not satisfy the fifth postulate. This means that in Non-Euclidean planes, given a line and a point not on that line, then there are two (or more) lines that contain that point and are parallel to the original line. There are geometries where there must be exactly one line through that point and parallel to the original line and then there are also geometries where no such line contains that point and is parallel to the original line.
Basically, the fifth postulate can be satisfied by multiple geometries.
No, "I expect you to" is not a signal statement. A signal statement is a phrase, clause, or sentence that introduces a quotation, paraphrase, or summary. Common signal phrase verbs include the following: argue, assert, claim, comment, confirm, contend, declare, deny, emphasize, illustrate, imply, insist, note, observe, point out, report, respond, say, suggest, think, and write.
A brief search reveals these comparisons from Blue Nile today:2.01 carats, princess cut US$10,484 - US$12,2592.01 carats, round cut, US$11,307 - US$13,309One way to read this data is to assert that one or the other cut is more expensive.However, the range of prices is based on other variables, including colour and clarity, which indicates that the cut alone does not determine the price you pay for a diamond.
The burden of proof for atheism lies in the lack of evidence or convincing arguments for the existence of a deity or deities. Atheists do not assert the non-existence of gods, but rather lack belief in them due to insufficient evidence.
in which you assert
assert (boolean expression); Example: assert (a >= 0);
Let me assert my position for you.
Atheism is the lack of belief in a god or gods, while agnosticism is the belief that the existence of a god or gods is unknown or unknowable. Atheists assert that there is no evidence for the existence of a deity, whereas agnostics question whether such evidence could ever be found.
Assert : Deny what would that analogy be?
The electors of the party were required to assert their allegiance. The plantiffs in the lawsuit assert that the defendant swindled them.
Example sentence for the verb to assert: I wish to assert that I had no part in the attempted cover-up. I am not a crook!
He used his strong voice to assert his authority over the group.
From the Merriam Webster Online Dictionary 1 : to state or declare positively and often forcefully or aggressively 2 a : to demonstrate the existence of - assert oneself : to compel recognition especially of one's rights There is often a fine line between "assertive" and "aggressive", and many people don't know the difference. Assertive just means that you ask for something reasonable in a positive way, without anger or threats. If you "assert" something you are making a statement of what you consider to be fact, again without anger or threat. I assert that where I am sitting, the sun is shining, it is not raining and is a delightful day. Although the dictionary states that "assert" is to declare "aggressively", "assertiveness" is generally acknowledged to be non-agressive yet without evidence of a willingness to "back down".
i assert myself as a hard worker, team player and dedicated to my job.
assert is the verb. assertive is the adjective, assertion is the noun, assertively is the adverb.