the-french-artist/wikipedia_20220301.simple_sentence_embeddings huggingface dataset:
Egloshayle 
 The Anglican chapel at Washaway, dating from 1882, has a font which is one of the earliest in the county.
Egloshayle 
 Pencarrow House, seat of the Molesworths (18th century), and Croan House (17th century) are fine examples of smaller country houses.
Egloshayle 
 Kelly Rounds (or Castle Killibury) is an Iron Age fort on the border of the parish and has been associated with the legend of King Arthur.
River Camel 
 It rises on the edge of Bodmin Moor and together with its tributaries drains a considerable part of North Cornwall.
River Camel 
 The river is tidal as far upstream as Egloshayle and is popular for sailing, birdwatching and fishing.
River Camel 
 The River Camel rises on the edge of Bodmin Moor, an area which forms part of the granite spine of Cornwall.
River Camel 
 The catchment area of the River Camel covers a total of 413 km² on the western side of Bodmin Moor, and is mainly Devonian slates and granite, with some shales and sandstones.
Ottery St Mary 
 At the 2001 census, the parish, which includes the villages of Metcombe, Fairmile, Alfington, Tipton St John, Wiggaton, and (until 2017) West Hill, had a population of 7,692.
Binary adder 
 These gates figure out what the numbers being sent in mean and if the digit needs to be turned on or not.
Binary adder 
 When solving this example: 1001 + 1100 (9 + 12 in decimal form), it would need five single bits to give an answer.
Binary adder 
 The fourth digit in each are 1 and 1, and 1 + 1 = 10, but because this is a 2 digit number, it holds the first digit (0) and send the second digit to the next adder.
Binary adder 
 If we take the sum digits in order, they come out as 10101 (21), so 1001 + 1100 = 10101 (9 + 12 = 21).
Andrew Ference 
 Andrew James Stewart Ference (born March 17, 1979 in Edmonton, Alberta) is a former Canadian professional ice hockey defenceman.
Andrew Ference 
 Ference also played for the Pittsburgh Penguins for 4 seasons, the Calgary Flames for 4 seasons and the Boston Bruins for 7 seasons.
Andrew Ference 
 During his time with the Bruins, he won the Stanley Cup on June 15, 2011 when they defeated the Vancouver Canucks in game 7 by a score of 4-0.
Adam McQuaid 
 Adam McQuaid (born October 12, 1986 in Charlottetown, Prince Edward Island) is an Canadian professional ice hockey defenceman.
Adam McQuaid 
 He was drafted by the Columbus Blue Jackets with the 55th overall pick in the 2005 NHL Entry Draft but never played a game with them and was traded to the Bruins for a fifth-round pick.
Adam McQuaid 
 He won the Stanley Cup with the Bruins on June 15, 2011 when the Bruins defeated the Vancouver Canucks in game 7 by a score of 4–0.
Patrice Bergeron 
 He won a gold medal in the 2010 Winter Olympics, 2010 Men's World Ice Hockey Championships and in the 2005 World Junior Ice Hockey Championships.
Patrice Bergeron 
 He won the Stanley Cup with the Bruins on June 15, 2011 when the Bruins defeated the Vancouver Canucks in game 7 by a score of 4-0.
Administrative divisions of Mexico 
 The United Mexican States () is a federal republic formed by 32 federal entities () (31 states and 1 federal district).
Administrative divisions of Mexico 
 Each state has their own congress and constitution, but the Federal District has only limited autonomy with a local Congress and government.
Administrative divisions of Mexico 
 The territory of the Federal District, commonly known as Mexico City, serves as the national capital.
Administrative divisions of Mexico 
 Joined the federation as República Federada de Yucatán () formed by the current states of Yucatan, Campeche and Quintana Roo.
Administrative divisions of Mexico 
 Became independent in 1841 constituting the second Republic of Yucatán and definitely rejoined in 1848.
Administrative divisions of Mexico 
 States of Nuevo León, Tamaulipas and Coahuila became independent de facto in 1840 to form the República del Río Grande (); never consolidated its independence because independent forces were defeated by the centralist forces.
Administrative divisions of Mexico 
 State of Tabasco seceded from Mexico on two occasions, the first on February 13, 1841, rejoining again on December 2, 1842.
Dennis Seidenberg 
 Dennis Seidenberg (born July 18, 1981 in Villingen-Schwenningen, Germany) is an NHL ice hockey defenceman that currently plays for the Boston Bruins.
Dennis Seidenberg 
 Seidenberg played hockey formerly with the Philadelphia Flyers for 3 seasons, the Phoenix Coyotes for 2 seasons, the Carolina Hurricanes for 3 seasons and the Florida Panthers for 1 season.
Chris Kelly 
 Christopher Kelly (born November 11, 1980) is a Canadian former professional ice hockey player and current assistant coach for the Boston Bruins of the NHL.
Chris Kelly 
 He also played hockey formerly with the Ottawa Senators for 7 seasons and for one season with the Anahiem Ducks.
Michael Ryder 
 Michael Wayne Glen Ryder (born March 31, 1980 in Bonavista, Newfoundland and Labrador) is a Canadian professional ice hockey right winger.
Michael Ryder 
 Ryder played in the QMJHL for 3 seasons with the Hull Olympiques and 2 seasons in the ECHL with the Tallahassee Tiger Sharks and Mississippi Sea Wolves.
Michael Ryder 
 He won the Stanley Cup with the Bruins on June 15, 2011 when the Bruins defeated the Vancouver Canucks in game 7 by a score of 4-0.
Competitive eating 
 Competitive eating is a term for a sport where people play to see who can eat the most food in a given time.
Arithmetic precision 
 In a scientific setting, this would be the total number of digits (sometimes called the significant figures or significant digits) or, less commonly, the number of fractional digits or decimal places (the number of digits following the decimal point).
Arithmetic precision 
 This second definition is useful in financial and engineering applications where the count of digits in the fractional part has particular importance.
Arithmetic precision 
 In both cases, the term "precision" can be used to describe the position at which an inexact result will be rounded.
Arithmetic precision 
 For example, in floating point arithmetic, a result is rounded to a given or fixed precision, which is the length of the resulting significand.
Arithmetic precision 
 In financial calculations, a number is often rounded to a given number of places (for example, to two places after the decimal separator for many world currencies).
Arithmetic precision 
 As an example, the decimal quantity 12.345 can be expressed with various numbers of significant digits or decimal places.
Arithmetic precision 
 If insufficient precision is available then the number is rounded in some manner to fit the available precision.
Arithmetic precision 
 The following table shows the results for various total precisions and decimal places rounded to the nearest value using the round-to-even method.
Arithmetic precision 
 Note that it is often not appropriate to display a figure with more digits than that which can be measured.
Arithmetic precision 
 For instance, if a device measures to the nearest gram and gives a reading of 12.345 kg, it would create false precision if the measurement were expressed "12.34500 kg" with 2 extra zeroes ("00") at the end.
Arithmetic precision 
 The representation of a positive number x to a precision of p significant digits has a numerical value that is given by the formula
Future Shop 
 It was founded in 1982 by Hassan Khosrowshahi, an Iranian entrepreneur who settled in Vancouver, British Columbia after leaving Iran.
Future Shop 
 On March 28, 2015, it was announced by Best Buy that they had decided to retire the Future Shop brand and close 66 locations.
Shoppers Drug Mart 
 The store usually has a organic foods section, at least five food aisles, a healthy living section, a cosmetics centre, a Carlton Cards aisle, an Easypix digital center/photolab, a full selection of over-the-counter drugs and health products and in some stores they have a full service Canada Post office.
Bianca (Percy Jackson) 
 Bianca di Angelo is a character in the fictional Percy Jackson and the Olympians book series, written by Rick Riordan.
Bianca (Percy Jackson) 
 Her father is Hades, the god of the Underworld, and her mother is an Italian mortal, named Maria Di Angelo.
Bianca (Percy Jackson) 
 In "Percy Jackson and the Titan's Curse", she dies because she sacrifices herself after trying to rescue her friends.
Bianca (Percy Jackson) 
 Her brother, Nico di Angelo, believes it was Percy Jackson's fault that his sister died, and plans to take revenge on Percy in the fourth book of the series, Percy Jackson and the battle of the Labyrinth.
Document Records 
 The label publishes early American blues, bluegrass, gospel, spirituals jazz, and other rural American genres (this genres are also called "roots" music)and made between 1900 and 1945.
Document Records 
 The label is also owner of the rights for unrealesed Music made by the Edison Company between 1914 and 1929.
Rounding 
 The word "rounding" for a numerical value means replacing it by another value that is approximately equal but has a shorter, simpler, or more explicit form.
Rounding 
 For example, US$23.74 could be rounded to US$24, the fraction 312/937 could be rounded to 1/3, and the expression  could be rounded to 1.41.
Rounding 
 Rounding is often done on purpose to obtain a value that is easier to write and handle than the original.
Rounding 
 It may also be done to indicate the accuracy of a computed number; for example, a quantity that was computed as 123,456, but is known to be accurate only to within a few hundred units, is better stated as "about 123,500".
Rounding 
 Rounding is almost unavoidable in many computations, especially when dividing two numbers in integer or doing fixed-point arithmetic; when computing mathematical functions such as square roots, logarithms, and sines; or when using a floating point representation with a fixed number of significant digits.
Rounding 
 In a sequence of calculations, these rounding errors generally accumulate, and in certain "ill-conditioned" cases, they may make the result meaningless.
Rounding 
 Accurate rounding of transcendental mathematical functions is difficult, because the number of extra digits that need to be calculated to resolve whether to round up or down cannot be known in advance.
Rounding 
 Rounding has many similarities to the quantization that occurs when physical quantities must be encoded by numbers or digital signals.
Rounding 
 The most common type of rounding is to round to an integer; or, more generally, to an integer multiple of some increment—such as rounding to whole tenths of seconds, hundredths of a dollar, to whole multiples of 1/2 or 1/8 inch, to whole dozens or thousands, etc..
Rounding 
 In general, rounding a number x to a multiple of some specified increment m entails the following steps:
Rounding 
 For example, rounding x = 2.1784 dollars to whole cents (that is, to a multiple of 0.01) entails computing y = x/m = 2.1784/0.01 = 217.84, then rounding y to the integer q = 218, and finally computing z = q×m = 218×0.01 = 2.18.
Rounding 
 When rounding to a predetermined number of significant digits, the increment m depends on the magnitude of the number to be rounded (or of the rounded result).
Rounding 
 The increment m is normally a finite fraction in whatever numeral system that is used to represent the numbers.
Rounding 
 For display to humans, that usually means the decimal numeral system (that is, m is an integer times a power of 10, like 1/1000 or 25/100).
Rounding 
 For intermediate values stored in digital computers, it often means the binary numeral system (m is an integer times a power of 2).
Rounding 
 The abstract single-argument "round()" function that returns an integer from an arbitrary real value has at least a dozen distinct concrete definitions presented in the rounding to integer section.
Rounding 
 The abstract two-argument "round()" function is formally defined here, but in many cases it is used with the implicit value m = 1 for the increment and then reduces to the equivalent abstract single-argument function, with also the same dozen distinct concrete definitions.
Rounding 
 All the following rounding modes are concrete implementations of the abstract single-argument "round()" function presented and used in the previous sections.
Rounding 
 Round down (or take the floor, or round towards minus infinity):  q is the largest integer that does not exceed y.
Rounding 
 Round up (or take the ceiling,  or round towards plus infinity):  q is the smallest integer that is not less than y.
Rounding 
 Round towards zero (or truncate, or round away from infinity): q is the integer part of y, without its fraction digits.
Rounding 
 Round away from zero (or round towards infinity): if y is an integer, q is y; else q is the integer that is closest to 0 and is such that y is between 0 and q.
Rounding 
 Round to nearest: q is the integer that is closest to y. This is sometimes written as  (see below for tie-breaking rules).
Rounding 
 The first four methods are called directed rounding, as the displacements from the original number y to the rounded value q are all directed towards or away from the same limiting value (0, +∞, or −∞).
Rounding 
 If y is positive, round-down is the same as round-towards-zero, and round-up is the same as round-away-from-zero.
Rounding 
 If y is negative, round-down is the same as round-away-from-zero, and round-up is the same as round-towards-zero.
Rounding 
 Where many calculations are done in sequence, the choice of rounding method can have a very significant effect on the result.
Rounding 
 It was initially set at 1000.000, and after 22 months had fallen to about 520 — whereas stock prices had generally increased in the period.
Rounding 
 The problem was caused by the index being recalculated thousands of times daily, and always being rounded down to 3 decimal places, in such a way that the rounding errors accumulated.
Rounding 
 Rounding a number y to the nearest integer requires some tie-breaking rule for those cases when y is exactly half-way between two integers — that is, when the fraction part of y is exactly 0.5.
Rounding 
 The following  tie-breaking rule, called round half up (or round half towards plus infinity), is widely used in many disciplines.
Rounding 
 If it were not for the 0.5 fractions, the roundoff errors introduced by the round to nearest method would be quite symmetric: for every fraction that gets rounded up (such as 0.268), there is a complementary fraction (namely, 0.732) that gets rounded down, by the same amount.
Rounding 
 When rounding a large set of numbers with random fractional parts, these rounding errors would statistically compensate each other, and the expected (average) value of the rounded numbers would be equal to the expected value of the original numbers.
Rounding 
 However, the round half up tie-breaking rule is not symmetric, as the fractions that are exactly 0.5 always get rounded up.
Rounding 
 For example, if the fraction of y consists of three random decimal digits, then the expected value of q will be 0.0005 higher than the expected value of y. For this reason, round-to-nearest with the round half up rule is also (ambiguously) known as asymmetric rounding.
Rounding 
 When seeing 17.50000..., for example, the first three figures, 17.5, determines that the figure would be rounded up to 18.
Rounding 
 If the opposite rule were used (round half down), then all the zero decimal places would need to be examined to determine if the value is exactly 17.5.
Rounding 
 One may also use round half down (or round half towards minus infinity) as opposed to the more common round half up (the round half up method is a common convention, but is nothing more than a convention).
Rounding 
 The round half down tie-breaking rule is not symmetric, as the fractions that are exactly 0.5 always get rounded down.
Rounding 
 For example, if the fraction of y consists of three random decimal digits, then the expected value of q will be 0.0005 lower than the expected value of y. For this reason, round-to-nearest with the round half down rule is also (ambiguously) known as asymmetric rounding.
Rounding 
 The other tie-breaking method commonly taught and used is the round half away from zero (or round half towards infinity), namely:
Rounding 
 If the fraction of y is exactly 0.5, then q = y + 0.5 if y is positive, and q = y − 0.5 if y is negative.
Rounding 
 This method treats positive and negative values symmetrically, and therefore is free of overall bias if the original numbers are positive or negative with equal probability.
Rounding 
 However, this rule will still introduce a positive bias for positive numbers, and a negative bias for the negative ones.
Rounding 
 It is often used for currency conversions and price roundings (when the amount is first converted into the smallest significant subdivision of the currency, such as cents of a euro) as it is easy to explain by just considering the first fractional digit, independently of supplementary precision digits or sign of the amount (for strict equivalence between the paying and recipient of the amount).
Rounding 
 One may also round half towards zero (or round half away from infinity) as opposed to the more common round half away from zero (the round half away from zero method is a common convention, but is nothing more than a convention).
Rounding 
 If the fraction of y is exactly 0.5, then q = y − 0.5 if y is positive, and q = y + 0.5 if y is negative.
Rounding 
 This method also treats positive and negative values symmetrically, and therefore is free of overall bias if the original numbers are positive or negative with equal probability.
Rounding 
 However, this rule will still introduce a negative bias for positive numbers, and a positive bias for the negative ones.
Rounding 
 In addition, for most reasonable distributions of y values, the expected (average) value of the rounded numbers is essentially the same as that of the original numbers, even if the latter are all positive (or all negative).
Rounding 
 However, this rule will still introduce a positive bias for even numbers (including zero), and a negative bias for the odd ones.
Rounding 
 This variant of the round-to-nearest method is also called unbiased rounding (ambiguously, and a bit abusively), convergent rounding, statistician's rounding, Dutch rounding, Gaussian rounding, or bankers' rounding.
Rounding 
 However, this rule will still introduce a negative bias for even numbers (including zero), and a positive bias for the odd ones.
Rounding 
 This variant is almost never used in most computations, except in situations where one wants to avoid rounding 0.5 or −0.5 to zero, or to avoid increasing the scale of numbers represented as floating point (with limited ranges for the scaling exponent), so that a non infinite number would round to infinite, or that a small denormal value would round to a normal non-zero value (these could occur with the round half to even mode).
Rounding 
 Effectively, this mode prefers preserving the existing scale of tie numbers, avoiding out of range results when possible.
Rounding 
 If the fractional part of y is .5, choose q randomly among y + 0.5 and y − 0.5, with equal probability.
Rounding 
 Like round-half-to-even, this rule is essentially free of overall bias; but it is also fair among even and odd q values.
Rounding 
 On the other hand, it introduces a random component into the result; performing the same computation twice on the same data may yield two different results.
Rounding 
 Also, it is open to unconscious bias if humans (rather than computers or devices of chance) are "randomly" deciding in which direction to round.
Rounding 
 If the fractional part is 0.5, alternate round up and round down: for the first occurrence of a 0.5 fractional part, round up; for the second occurrence, round down; so on so forth.
Rounding 
 This suppresses the random component of the result, if occurrences of 0.5 fractional parts can be effectively numbered.
Rounding 
 But it can still introduce a positive or negative bias according to the direction of rounding assigned to the first occurrence, if the total number of occurrences is odd.
Rounding 
 For example, suppose that y is an accurate measurement of an audio signal, which is being rounded to an integer q in order to reduce the storage or transmission costs.
Rounding 
 If y changes slowly with time, any of the rounding method above will result in q being completely constant for long intervals, separated by sudden jumps of ±1.
Rounding 
 When the q signal is played back, these steps will be heard as a very disagreeable noise, and any variations of the original signal between two integer values will be completely lost.
Rounding 
 One way to avoid this problem is to round each value y upwards with probability equal to its fraction, and round it downwards with the complement of that probability.
Rounding 
 For example, the number 23.17 would be rounded up to 24 with probability 0.17, and down to 23 with probability 1 - 0.17 = 0.83. (
Rounding 
 This is equivalent to rounding down y + s, where s is a random number uniformly distributed between 0 and 1.)
Rounding 
 With this special rounding, known as dithering, the sudden steps get replaced by a less objectionable noise, and even small variations in the original signal will be preserved to some extent.
Rounding 
 Like the stochastic approach to tie-breaking, dithering has no bias: if all fraction values are equally likely, rounding up by a certain amount is as likely as rounding down by that same amount; and the same is true for the sum of several rounded numbers.
Rounding 
 On the other hand, dithering introduces a random component in the result, much greater than that of stochastic tie-breaking.
Rounding 
 More precisely, the roundoff error for each dithered number will be a uniformly distributed random variable with mean value of zero, but with a standard deviation , which is better than the 1/2 standard deviation with the simple predictive methods, but slightly higher than with the simpler stochastic method.
Rounding 
 However, the sum of n rounded numbers will be a random variable with expected error zero, but with standard deviation  (the total remaining noise) which diverges semi-quadratically and may become easily perceptible, even if the standard deviation of the roundoff error per sample will be  which slowly converges semi-quadratically to zero.
Rounding 
 So, this random distribution may still be too high for some applications that are rounding a lot of data.
Rounding 
 This variant of the simple dithering method still rounds values with probability equal to its fraction.
Rounding 
 However, instead of using a random distribution for rounding isolated samples, the roundoff error occurring at each rounded sample is totalled for the next surrounding elements to sample or compute; this accumulated value is then added to the value of these next sampled or computed values to round, so that the modified values will take into account this difference using a predictive model (such as Floyd–Steinberg dithering).
Rounding 
 The modified values are then rounded with any one of the above rounding methods, the best ones being with stochastic or dithering methods: in this last case, the sum of n rounded numbers will still be a random variable with expected error zero but with an excellent constant standard deviation of , instead of diverging semi-quadratically when dithering isolated samples; and the overall average roundoff error deviation per rounded sample will be  that will converge hyperbolically to zero, faster than with the semi-hyperbolic convergence when dithering isolated samples.
Rounding 
 In practice, when rounding large sets of sampled data (such as audio, image and video rendering), the accumulation of roundoff errors is most frequently used with a simple predictive rounding of the modified values (such as rounding towards zero), because it will still preserve the hyperbolic convergence towards zero of the overall mean roundoff error bias and of its standard deviation.