グローバルビジネスで役立つ数学（75）命題の否定（英語版）

Hi there!

Do you know the difference between barristers and solicitors? You’re not into any legal terms?

I have had several students who are lawyers up to now, and apparently, the number of female attorneys is increasing yearly. Most of them shy away from criminal cases, leading to the inundation of their jobs with civil cases.

Get back to the question of the opening phrase. The fundamental difference between barristers and solicitors is that a barrister mainly defends people in court and a solicitor primarily performs legal work outside court; there are exceptions, though.

Truth be known, the difference ostensibly applies equally in business consultancy. Some corporate consults can make a deal as an acting consultancy playing a trailblazer. Others are versed in their abilities to give presentations in seminars, but they are basically good at clerical work.

I’m a kind of the former, up-and-at-‘em, early-bird-get-the-worm-type person, so I’ve been at the forefront of completing a deal on behalf of my client.

Here comes the question for you. Do you agree that all business consultants good at giving presentations can be down-to-earth driving forces to materialize business?

Sorry to disappoint you, but my answer is No.

Today, let me challenge a word problem regarding the negation of a proposition.

Negate the following proposition, and identify whether its negation is true or false. Proposition: The inequality \(x^{2} – 2xy + y^{2} > 0\) stands, providing the real numbers \(x\) and\(y\) are arbitrary. (Rref. Yellow Chart Math Ⅰ＋Ａ P78, slightly changed the formula)

Here is my solution to the problem.

Its negation becomes \(x^{2} – 2xy + y^{2}\leq 0\) regarding a real number \(x\) and \(y\).

Let’s verify whether the above statement is true or false.

Since \(x^{2} – 2xy + y^{2} = (x – y)^{2}\), the proposition \(x^{2} – 2xy + y^{2} = 0\) can stand for an real number \(x\) and \(y\) that satisfies \(x – y = 0\); for instance, at \(x = y = 0\).

Therefore, the negation above is true.

Reminder. Not all business consultants can be the driving force to crystalize their ideas even though their presentations are good.

Stay tuned, and expect to see my next post.

Keep well.

Frank Yoshida

￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣￣
【グローバルビジネスで役立つ数学】でもっと学習する b＾＾)
【参考図書】『もう一度高校数学』（著者：高橋一雄氏）株式会社日本実業出版社
【レッスン】私のオンライン英語レッスンをご希望の方はこちらをご覧ください。
【コンテント】当サイトで提供する情報はその正確性と最新性の確保に努めていま
　すが完全さを保証するものではありません。当サイトの内容に関するいかなる間
　違いについても一切の責任を負うものではありません。