"Charlie Harper (Two and a Half Men) Charles Francis Harper is a fictional character in the CBS sitcom ""Two and a Half Men"" during the first eight seasons of the series. Played by actor Charlie Sheen, the character has garnered him four Primetime Emmy Award nominations for Outstanding Lead Actor in a Comedy Series and two Golden Globe nominations for Best Performance by an Actor in a Comedy Series. Although the character was written off after the end of the eighth season, the character was reprised for one episode of the ninth season by Kathy Bates, which resulted in her"
"One half One half is the irreducible fraction resulting from dividing one by two or the fraction resulting from dividing any number by its double. Multiplication by one half is equivalent to division by two, or ""halving""; conversely, division by one half is equivalent to multiplication by two, or ""doubling"". One half appears often in mathematical equations, recipes, measurements, etc. Half can also be said to be one part of something divided into two equal parts. For instance, the area ""S"" of a triangle is computed One half also figures in the formula for calculating figurate numbers, such as triangular"
"Division by two In mathematics, division by two or halving has also been called mediation or dimidiation. The treatment of this as a different operation from multiplication and division by other numbers goes back to the ancient Egyptians, whose multiplication algorithm used division by two as one of its fundamental steps. Some mathematicians as late as the sixteenth century continued to view halving as a separate operation, and it often continues to be treated separately in modern computer programming. Performing this operation is simple in decimal arithmetic, in the binary numeral system used in computer programming, and in other even-numbered"
"rather than regular derivation: in English, for example, compare """"one half"""" against other regular formations like """"one sixth"""". It is acceptable to write one half as a hyphenated word, ""one-half"" or non-hyphenated, ""one half"". One half One half is the irreducible fraction resulting from dividing one by two or the fraction resulting from dividing any number by its double. Multiplication by one half is equivalent to division by two, or ""halving""; conversely, division by one half is equivalent to multiplication by two, or ""doubling"". One half appears often in mathematical equations, recipes, measurements, etc. Half can also be said to"
"2 2 (two) is a number, numeral, and glyph. It is the natural number following 1 and preceding 3. An integer is called ""even"" if it is divisible by 2. For integers written in a numeral system based on an even number, such as decimal, hexadecimal, or in any other base that is even, divisibility by 2 is easily tested by merely looking at the last digit. If it is even, then the whole number is even. In particular, when written in the decimal system, all multiples of 2 will end in 0, 2, 4, 6, or 8. Two is"
"codice_6 for the same purpose. The following algorithm is for decimal. However, it can be used as a model to construct an algorithm for taking half of any number ""N"" in any even base. Example: 1738/2=? Write 01738. We will now work on finding the result. Result: 0869. From the example one can see that 0 is even. If the last digit of ""N"" is odd digit one should add 0.5 to the result. Division by two In mathematics, division by two or halving has also been called mediation or dimidiation. The treatment of this as a different operation from"
"the two halves of the line, broken here by the ||, each have two and a half feet. Two and a half plus two and a half equals five. The two half-lines are each called a hemiepes (half-epic), as they resemble half a line of epic dactylic hexameter. The pentameter is notable for its very structured quality: no substitutions are allowed except in the first two feet. Dactylic pentameter Dactylic pentameter is a form of meter in poetry. The dactyl, which is made of a stressed (or long) syllable followed by two unstressed (or short) syllables, is repeated five times"
"Half-space (geometry) In geometry, a half-space is either of the two parts into which a plane divides the three-dimensional Euclidean space. More generally, a half-space is either of the two parts into which a hyperplane divides an affine space. That is, the points that are not incident to the hyperplane are partitioned into two convex sets (i.e., half-spaces), such that any subspace connecting a point in one set to a point in the other must intersect the hyperplane. A half-space can be either ""open"" or ""closed"". An open half-space is either of the two open sets produced by the subtraction"
"Quotient In arithmetic, a quotient (from ""how many times"", pronounced ) is the quantity produced by the division of two numbers. The quotient has widespread use throughout mathematics, and is commonly referred to as a fraction or a ratio. For example, when dividing twenty (the ""dividend"") by three (the ""divisor""), the ""quotient"" is six and two thirds. In this sense, a quotient is the ratio of a dividend to its divisor. The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words ""dividend"" and ""divisor"" refer to each individual part, while the"
"Fraction (mathematics) A fraction (from Latin """", ""broken"") represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters. A ""common"", ""vulgar"", or ""simple"" fraction (examples: formula_1 and 17/3) consists of an integer numerator displayed above a line (or before a slash), and a non-zero integer denominator, displayed below (or after) that line. Numerators and denominators are also used in fractions that are not ""common"", including compound fractions, complex fractions, and mixed numerals. We begin"
"So, the final result is 3/8. Two's complement Two's complement is a mathematical operation on binary numbers, best known for its role in computing as a method of signed number representation. For this reason, it is the most important example of a radix complement. The two's complement of an -bit number is defined as its complement with respect to . For instance, for the three-bit number 010, the two's complement is 110, because . Two's complement is the most common method of representing signed integers on computers. In this scheme, if the binary number 010 encodes the signed integer 2,"
"Division (mathematics) Division is one of the four basic operations of arithmetic, the others being addition, subtraction, and multiplication. At an elementary level the division of two natural numbers is –among other possible interpretations– the process of calculating the number of times one number is contained within another one. This number of times is not always an integer, and this led to two different concepts. The division with remainder or Euclidean division of two natural numbers provides a ""quotient"", which is the number of times the second one is contained in the first one, and a ""remainder"", which is the"
"denominator and the numerator, subtract the lesser from the greater, and do that alternately to make them the same. Reduce by the same number."" This description looks like a normal Euclidean algorithm, but there is ambiguity in the phrase ""if possible halve it"". The traditional interpretation is that this only applies when 'both' numbers are even, implying the algorithm is just slightly inferior Euclidean algorithm (for using subtraction instead of division). But the phrase may mean dividing by 2 should 'either' of the numbers become even, in which case it is the binary GCD algorithm. Binary GCD algorithm The binary"
"number can be divided by 2 only once; it is even but its quotient by 2 is odd. A doubly even number is an integer that is divisible more than once by 2; it is even and its quotient by 2 is also even. The separate consideration of oddly and evenly even numbers is useful in many parts of mathematics, especially in number theory, combinatorics, coding theory (see even codes), among others. The ancient Greek terms ""even-times-even"" and ""even-times-odd"" were given various inequivalent definitions by Euclid and later writers such as Nicomachus. Today, there is a standard development of the"
"the double factorial. Half-integer In mathematics, a half-integer is a number of the form where formula_2 is an integer. For example, are all half-integers. Half-integers occur frequently enough in mathematical contexts that a special term for them is convenient. Note that a half of an integer is not always a half-integer: half of an even integer is an integer but not a half-integer. The half-integers are precisely those numbers that are half of an odd integer, and for this reason are also called the half-odd-integers. Half-integers are a special case of the dyadic rationals, numbers that can be formed by"
"Twelfth root of two The twelfth root of two or is an algebraic irrational number. It is most important in Western music theory, where it represents the frequency ratio of a semitone () in twelve-tone equal temperament. Historically this number was proposed for the first time in relationship to musical tuning in 1580 (drafted, rewritten 1610) by Simon Stevin. It allows measurement and discussion of equal intervals (frequency ratios) as equally spaced. A semitone is 100 cents (1 cent = ). The twelfth root of two to 20 significant figures is . Fraction approximations in order of accuracy are ,"
"Half note In music, a half note (American) or minim (British) is a note played for half the duration of a whole note (or semibreve) and twice the duration of a quarter note (or crotchet). It was given its Latin name (""minima"", meaning ""least or smallest"") because it was the shortest of the five note values used in early medieval music notation . In time signatures with 4 as the bottom number, such as or , the half note is two beats long. However, when 2 is the bottom number (including ""alla breve"", ), the half note is one beat"
"Fourier division Fourier division or cross division is a pencil-and-paper method of division which helps to simplify the process when the divisor has more than two digits. It was invented by Joseph Fourier. The following exposition assumes that the numbers are broken into two-digit pieces, separated by commas: e.g. 3456 becomes 34,56. In general ""x,y"" denotes ""x""·100 + ""y"" and ""x,y,z"" denotes ""x""·10000 + ""y""·100 + ""z"", etc. Suppose that we wish to divide ""c"" by ""a"", to obtain the result ""b"". (So ""a"" × ""b"" = ""c"".) Note that ""a"" may not have a leading zero; it should stand"
"1/2 was represented by a glyph that may have depicted a piece of linen folded in two. The fraction 2/3 was represented by the glyph for a mouth with 2 (different sized) strokes. The rest of the fractions were always represented by a mouth super-imposed over a number. Egyptian multiplication was done by repeated doubling of the number to be multiplied (the multiplicand), and choosing which of the doublings to add together (essentially a form of binary arithmetic), a method that links to the Old Kingdom. The multiplicand was written next to the figure 1; the multiplicand was then added"
"Quotition and partition In arithmetic, quotition and partition are two ways of viewing fractions and division. In quotition division one asks how many parts there are; in partition division one asks what the size of each part is. For example, the expression can be construed in either of two ways: It is a fact of elementary theoretical mathematics that the numerical answer is always the same either way: 6 ÷ 2 = 3. This is essentially equivalent to the commutativity of multiplication. Division involves thinking about a whole in terms of its parts. One frequent division notion, a natural number"
"is the value for ""b"". Find the reciprocal of π ≈ 3.14159. The result is 32,-17,10 or 31,83,10 yielding 0.318310. Fourier division Fourier division or cross division is a pencil-and-paper method of division which helps to simplify the process when the divisor has more than two digits. It was invented by Joseph Fourier. The following exposition assumes that the numbers are broken into two-digit pieces, separated by commas: e.g. 3456 becomes 34,56. In general ""x,y"" denotes ""x""·100 + ""y"" and ""x,y,z"" denotes ""x""·10000 + ""y""·100 + ""z"", etc. Suppose that we wish to divide ""c"" by ""a"", to obtain the"
"or revived based on doubling and halving. Doubling is done by adding a numeral to itself, which mean doubling each of its digit. This gives an extend form, which has to be abbreviated if needed. This operation can also be done in one go by changing all the digit of a numeral by the next digit. For example, the double of a is b, the double of b is c, the double of ab is bc, the double of acfg is bdgh, etc... Similarly, multiplying by a power of two, is just translating its digits. To multiply by c ="
"smallest field has two elements. In a set-theoretical construction of the natural numbers, 2 is identified with the set <nowiki> 2 2 (two) is a number, numeral, and glyph. It is the natural number following 1 and preceding 3. An integer is called ""even"" if it is divisible by 2. For integers written in a numeral system based on an even number, such as decimal, hexadecimal, or in any other base that is even, divisibility by 2 is easily tested by merely looking at the last digit. If it is even, then the whole number is even. In particular, when"
"located between the first and second lines. The answer is In mathematics, especially in elementary arithmetic, division is an arithmetic operation which is the inverse of multiplication. Specifically, if ""c"" times ""b"" equals ""a"", written: where ""b"" is not zero, then ""a"" divided by ""b"" equals ""c"", written: For instance, since In the above expression, ""a"" is called the dividend, ""b"" the divisor and ""c"" the quotient. Division by zero (i.e. where the divisor is zero) is not defined. Division is most often shown by placing the ""dividend"" over the ""divisor"" with a horizontal line, also called a vinculum, between"
"Half-integer In mathematics, a half-integer is a number of the form where formula_2 is an integer. For example, are all half-integers. Half-integers occur frequently enough in mathematical contexts that a special term for them is convenient. Note that a half of an integer is not always a half-integer: half of an even integer is an integer but not a half-integer. The half-integers are precisely those numbers that are half of an odd integer, and for this reason are also called the half-odd-integers. Half-integers are a special case of the dyadic rationals, numbers that can be formed by dividing an integer"
"2 + 2 = 5 The phrase ""two plus two equals five"" (""2 + 2 = 5"") is a slogan used in many different forms of media, most notably in Part One, Chapter Seven of the book ""1984"" by George Orwell. In the novel, it is used as an example of an obviously false dogma that one may be required to believe, similar to other obviously false slogans promoted by the Party in the novel. Orwell's protagonist, Winston Smith, uses the phrase to wonder if the State might declare ""two plus two equals five"" as a fact; he ponders whether,"
"Singly and doubly even In mathematics an even integer, that is, a number that is divisible by 2, is called evenly even or doubly even if it is a multiple of 4, and oddly even or singly even if it is not. (The former names are traditional ones, derived from the ancient Greek; the latter have become common in recent decades.) These names reflect a basic concept in number theory, the 2-order of an integer: how many times the integer can be divided by 2. This is equivalent to the multiplicity of 2 in the prime factorization. A singly even"
"appears as: 2.12. The measure is to be increased by its third and this [third] again by its own fourth less the thirty-fourth part [of that fourth]; this is [the value of] the diagonal of a square [whose side is the measure]. which leads to the value of the square root of two as being: One conjecture about how such an approximation was obtained is that it was taken by the formula: which is an approximation that follows a rule given by the twelfth century Muslim mathematician Al-Hassar. The result is correct to 5 decimal places. This formula is similar"
"a quarter is one twelfth, two thirds of a quarter is two twelfth. The second fraction, three quarters, is three times as large as one quarter, so two thirds of three quarters is three times as large as two thirds of one quarter. Thus two thirds times three quarters is six twelfths. A short cut for multiplying fractions is called ""cancellation"". Effectively the answer is reduced to lowest terms during multiplication. For example: A two is a common factor in both the numerator of the left fraction and the denominator of the right and is divided out of both. Three"
"fractions 1/1 and 1/2 is 2/3. However, if the fraction 1/1 is replaced by the fraction 2/2, which is an equivalent fraction denoting the same rational number 1, the mediant of the fractions 2/2 and 1/2 is 3/4. For a stronger connection to rational numbers the fractions may be required to be reduced to lowest terms, thereby selecting unique representatives from the respective equivalence classes. The Stern-Brocot tree provides an enumeration of all positive rational numbers via mediants in lowest terms, obtained purely by iterative computation of the mediant according to a simple algorithm. Mediant (mathematics) In mathematics, the mediant"
"term ""second"" can only refer to location in a series; for fractions English speakers use the term 'half' (plural ""halves""). Here are some common English fractions (known linguistically as ""partitive numerals""): Alternatively, and for greater numbers, one may say for 1/2 ""one over two"", for 5/8 ""five over eight"", and so on. This ""over"" form is also widely used in mathematics. Numbers with a decimal point may be read as a cardinal number, then ""and"", then another cardinal number followed by an indication of the significance of the second cardinal number (mainly U.S.); or as a cardinal number, followed by"
". However, in English usage the colon is restricted to expressing the related concept of ratios (then """"a"" is to ""b""""). With a knowledge of multiplication tables, two integers can be divided on paper using the method of long division. If the dividend has a fractional part (expressed as a decimal fraction), one can continue the algorithm past the ones place as far as desired. If the divisor has a decimal fractional part, one can restate the problem by moving the decimal to the right in both numbers until the divisor has no fraction. To divide by a fraction, multiply"
"Split-biquaternion In mathematics, a split-biquaternion is a hypercomplex number of the form where ""w"", ""x"", ""y"", and ""z"" are split-complex numbers and i, j, and k multiply as in the quaternion group. Since each coefficient ""w"", ""x"", ""y"", ""z"" spans two real dimensions, the split-biquaternion is an element of an eight-dimensional vector space. Considering that it carries a multiplication, this vector space is an algebra over the real field, or an algebra over a ring where the split-complex numbers form the ring. This algebra was introduced by William Kingdon Clifford in an 1873 article for the London Mathematical Society. It"