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Numismatic Sale 91 - Agora Coins and Antiquities. Auction - A. Karamitsos Coins, Medals, and Banknotes. Numismatic Sale 90 - Agora Coins and Antiquities. August Banknote Auction - cgb. E-Auction - Spink World Banknotes. July Banknote Auction - cgb. Portuguese Coins Exclusive - catawiki. Online Auction 16 - Numisor World Coins. In some countries, the serif at the top is sometimes extended into a long upstroke, sometimes as long as the vertical line, which can lead to confusion with the glyph for seven in other countries. Where the 1 is written with a long upstroke, the number 7 has a horizontal stroke through the vertical line.

While the shape of the 1 character has an ascender in most modern typefaces , in typefaces with text figures , the character usually is of x-height , as, for example, in. Many older typewriters do not have a separate symbol for 1 and use the lowercase letter l instead. It is possible to find cases when the uppercase J is used, while it may be for decorative purposes. This is more formally referred to as a unary numeral system. There are two ways to write the real number 1 as a recurring decimal : as 1. In a multiplicative group or monoid , the identity element is sometimes denoted 1, but e from the German Einheit , "unity" is also traditional.

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However, 1 is especially common for the multiplicative identity of a ring, i. Important examples are finite fields. In many mathematical and engineering problems, numeric values are typically normalized to fall within the unit interval from 0 to 1, where 1 usually represents the maximum possible value in the range of parameters.

Likewise, vectors are often normalized to give unit vectors , that is vectors of magnitude one, because these often have more desirable properties.

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Functions, too, are often normalized by the condition that they have integral one, maximum value one, or square integral one, depending on the application. Because of the multiplicative identity, if f x is a multiplicative function , then f 1 must equal 1. It is also the first and second number in the Fibonacci sequence 0 is the zeroth and is the first number in many other mathematical sequences.

The fundamental theorem of arithmetic guarantees unique factorization over the integers only up to units.

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The definition of a field requires that 1 must not be equal to 0. Thus, there are no fields of characteristic 1. Nevertheless, abstract algebra can consider the field with one element , which is not a singleton and is not a set at all.

Keep your options open : If you have the answer before the reading, then you're not allowing the cards to guide your overall decision. Bunning offers this example: Asking how you could encourage your mother-in-law to move out, as opposed to asking how you can get along better with her, is narrowing the scope of the true question by answering it before you even get started. Find the best level of detail : Your question should be focused but not overly detailed. Rather than looking at one aspect of a problem, find a way to look more broadly at it. For example, rather than asking how you can make your home life less chaotic, ask how you can better balance the family's schedules.

That's a focused question. But do not go so far as to ask how you can coordinate baseball, soccer and Cub Scout schedules and still have family time — that's too detailed.

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Only include the minimum level of detail needed in order to express what you want to learn from the cards. Focus on yourself : If the reading is for you, make sure your question centers on you rather than on someone else who you think may be the root of your problem. For example, asking why your teenager is experimenting with drugs is focusing on them, not you.

Asking what role you play in your teen's decision to experiment with drugs brings the question back to you. Stay neutral : Your question shouldn't convey a preconceived notion that your view is necessarily the right one.