Clearly it'd seem that we are at some point of inflection.
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We are at a point of inflection where we will either thrive or miss the biggest business opportunity of the century.
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It hasn't happened, meaning Trump will take office at what may be a tough point of inflection: either job creation slows or inflation jumps.
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This breakthrough is yet another signal that the field is at a point of inflection in which recovery from spinal cord injury is no longer an impossible dream.
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"We are now at a point of inflection from where we can grow our business, from where we can catch up our growth alongside the industry," Kharat told a news conference.
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"I think this could be a point of inflection," said Paul Martino, vice president and senior policy counsel at the National Retail Federation, which has spent years lobbying for a data breach bill.
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SThree, which places people with financial, energy, banking and pharmaceutical companies, has been concentrating on markets outside its home base for some time, cautioning last September that the UK may have reached a point of inflection.
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Asad Hussain, emerging technology analyst at PitchBook, said companies like Uber have reached a critical point of inflection where they need to go to market now, and a choppy economic environment doesn't affect that decision as public markets represent the best way for them to achieve liquidity.
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Since it is a point of inflection, it is not a local extremum.
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Inflection points sufficient conditions: 1) A sufficient existence condition for a point of inflection is: :If is times continuously differentiable in a certain neighborhood of a point with odd and , while for and then has a point of inflection at . 2) Another sufficient existence condition requires and to have opposite signs in the neighborhood of x (Bronshtein and Semendyayev 2004, p. 231).
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But this is not a stationary point, rather it is a point of inflection. This is because the concavity changes from concave downwards to concave upwards and the sign of f(x) does not change; it stays positive. For the function f(x) = x3 we have f'(0) = 0 and f(0) = 0. This is both a stationary point and a point of inflection.
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If the second derivative, exists at , and is an inflection point for , then , but this condition is not sufficient for having a point of inflection, even if derivatives of any order exist. In this case, one also needs the lowest-order (above the second) non-zero derivative to be of odd order (third, fifth, etc.). If the lowest-order non-zero derivative is of even order, the point is not a point of inflection, but an undulation point. However, in algebraic geometry, both inflection points and undulation points are usually called inflection points.
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An example of an undulation point is for the function given by . In the preceding assertions, it is assumed that has some higher-order non-zero derivative at , which is not necessarily the case. If it is the case, the condition that the first nonzero derivative has an odd order implies that the sign of is the same on either side of in a neighborhood of . If this sign is positive, the point is a rising point of inflection; if it is negative, the point is a falling point of inflection.
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"India again tops global retail index." 22 /6/ 2007. The Retail Business in India is currently at the point of inflection. As of 2008, rapid change with investments to the tune of US$25 billion were being planned by several Indian and multinational companies in the next 5 years.
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The term horse saddle may be used in contrast to monkey saddle, to designate an ordinary saddle surface in which z(x,y) has a saddle point, a local minimum or maximum in every direction of the xy-plane. In contrast, the monkey saddle has a stationary point of inflection in every direction.
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If all extrema of are isolated, then an inflection point is a point on the graph of at which the tangent crosses the curve. A falling point of inflection is an inflection point where the derivative is negative on both sides of the point; in other words, it is an inflection point near which the function is decreasing. A rising point of inflection is a point where the derivative is positive on both sides of the point; in other words, it is an inflection point near which the function is increasing. For an algebraic curve, a non singular point is an inflection point if and only if the intersection number of the tangent line and the curve (at the point of tangency) is greater than 2.
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For the function f(x) = x4 we have f'(0) = 0 and f(0) = 0. Even though f(0) = 0, this point is not a point of inflection. The reason is that the sign of f'(x) changes from negative to positive. For the function f(x) = sin(x) we have f'(0) ≠ 0 and f(0) = 0.
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In convex geometry, such lines are called supporting lines. At each point, the moving line is always tangent to the curve. Its slope is the derivative; green marks positive derivative, red marks negative derivative and black marks zero derivative. The point (x,y) = (0,1) where the tangent intersects the curve, is not a max, or a min, but is a point of inflection.
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If the second derivative of a function changes sign, the graph of the function will switch from concave down to concave up, or vice versa. A point where this occurs is called an inflection point. Assuming the second derivative is continuous, it must take a value of zero at any inflection point, although not every point where the second derivative is zero is necessarily a point of inflection.
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If the coefficient of x2, c0+2mc1+c2m2, is 0 but the coefficient of x3 is not then the origin is a point of inflection of the curve. If the coefficients of x2 and x3 are both 0 then the origin is called point of undulation of the curve. This analysis can be applied to any point on the curve by translating the coordinate axes so that the origin is at the given point.
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The main idea behind the quantum theory of a Big Bounce is that, as density approaches infinity, the behavior of the quantum foam changes. All the so-called fundamental physical constants, including the speed of light in a vacuum, need not remain constant during a Big Crunch, especially in the time interval smaller than that in which measurement may never be possible (one unit of Planck time, roughly 10−43 seconds) spanning or bracketing the point of inflection.
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A conference organised by the World Intellectual Property Organization (WIPO) in Marrakesh, Morocco, in June 2013 adopted a special treaty called "A Treaty to Facilitate Access to Published Works by Visually Impaired Persons and Persons with Print Disabilities" (briefly Marrakesh VIP Treaty). The Marrakesh Treaty represents an important change in how law makers balance the demands of copyright owners against the interests of people with disabilities in particular, and a potential point of inflection in global copyright politics more generally.
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Besides supporting her prestige, the Second Symphony supposes an important point of inflection in the career of Pavlova, as she abandoned chamber music in successive works in favor of large orchestral compositions. In 2000, she sealed this change of orientation with the monumental Symphony nº. 3; this work, inspired by a New York monument to Joan of Arc, is characterized for its intense expressive reach and is considered her masterpiece. Faithful to her policy of revision, Pavlova continued to work on this piece, adding a guitar as a colorful element.
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Anti-Xueta prejudice continued to diminish with the opening of the island to tourism in the first decades of the 20th century, along with economic development which started by the end of the previous century. The presence—in many cases, the permanent residency—of outsiders on the island (Spaniards or foreigners) to whom the status of the Xuetes meant nothing, marked a definite point of inflection in the history of this community. Also, in 1966, the publication of the book Els descendents dels Jueus Conversos de Mallorca. Quatre mots de la veritat (The descendants of the converted Jews of Majorca.
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Plot of with an inflection point at (0,0), which is also a stationary point. In differential calculus and differential geometry, an inflection point, point of inflection, flex, or inflection (British English: inflexion) is a point on a smooth plane curve at which the curvature changes sign. In particular, in the case of the graph of a function, it is a point where the function changes from being concave (concave downward) to convex (concave upward), or vice versa. For example, if the curve is the graph of a function , of differentiability class , this means that the second derivative of vanishes and changes sign at the point.
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The term node is used to indicate either a crunode or an acnode, in other words a double point which is not a cusp. The number of nodes and the number of cusps on a curve are two of the invariants used in the Plücker formulas. If one of the solutions of c0+2mc1+m2c2=0 is also a solution of d0+3md1+3m2d2+m3d3=0 then the corresponding branch of the curve has a point of inflection at the origin. In this case the origin is called a flecnode. If both tangents have this property, so c0+2mc1+m2c2 is a factor of d0+3md1+3m2d2+m3d3, then the origin is called a biflecnode.
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For example, the point (0, 0, 0) is a saddle point for the function z=x^4-y^4, but the Hessian matrix of this function at the origin is the null matrix, which is not indefinite. In the most general terms, a saddle point for a smooth function (whose graph is a curve, surface or hypersurface) is a stationary point such that the curve/surface/etc. in the neighborhood of that point is not entirely on any side of the tangent space at that point. The plot of y = x3 with a saddle point at 0 In a domain of one dimension, a saddle point is a point which is both a stationary point and a point of inflection.
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Surprisingly, this fact contrasted with the huge success obtained by the main Spanish football clubs at the European level. Nevertheless, the triumphs of the Spain national team in 2008 and 2012 European Championship, and in 2010 FIFA World Cup, with an attractive playing style, marked a point of inflection that divided the history of Spain national football team in two parts. The Spain national football team has been the winner of FIFA Team of Year in 2008, 2009, 2010, 2011, 2012 and 2013, as well as the winner of Laureus World Sports Award for Team of the Year in 2011. The Spain national football team have won four trophies in FIFA and UEFA tournaments: one FIFA World Cup in 2010, and three UEFA European Championship in 1964, 2008 and 2012. In addition, it was runner-up in the UEFA European Championship in 1984 and in the FIFA Confederations Cup in 2013.
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