I recently published Round, With Ties to Even and followed that with Round Two. Then, in an email, Andy Bartlett pointed out that my new round function fails for some large values of x between flintmax/2 and flintmax.

The quantity f = flintmax/2 is equal to 2^52, which is 1/eps. The help entry for format bank says it is a fixed format for dollars and cents. That's true, but I also like to use it for displaying large flints.

The

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I publish Round, With Ties to EvenSteve Eddins和Daniel Dolan立即发表了实质性的评论。以下是我对他们评论的回应。内容< / p > < a href = " # 7365 c624 e928 - 4045 a1b4 - 209 bcdc91f74”>两个< / > < a href = " # fdeaaa3a - 2 - ff3 - 4471 - 8142 - 0985473 - e5785 " > < / >示例< a href = " # 67773591 - b7e1 - 4 - df9 - 968 f - 58 fc6ca90c15”>扩展< / > < a href = " # bbea3ac5 - e51d - 4 - dde - 9895 f66f824f21d7 " > < / >两轮多<名称= " 7365 c624 e928 - 4045 a1b4 - 209 bcdc91f74 " > < / > < p >如何描述的四个选择我to break ties -- 'even', 'odd', 'up' and 'down' -- all have the same behavior for positive and negative numbers. The current built-in round uses the 'up" rule.

Steve sees the need for two more choices that are sensitive to the sign of the number. I will call them 'plus' and 'minus". They round to the right and to the left on the number line. That's sometimes known as round toward

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我们正在考虑一个MATLAB增强请求，以支持round(x)选项，当x正好在两个整数的中间。金宝app

城市IEEE 754哪个?Classic round

The Classic MATLAB calculator was written in Fortran forty years ago, before IEEE 754 and before MathWorks. It had only 71 functions and it was not easy to add more. But one of those functions was ROUND. The help entry had only one sentence.

ROUND ROUND(X) rounds the elements of X to the nearest

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The rank of a linear transformation is a fundamental concept in linear algebra and matrix factorizations are fundamental concepts in numerical linear algebra. Gil Strang's 2020 Vision of Linear Algebra seeks to introduce these notions early in an introductory linear algebra course.

The CR matrix factorization provides a view of rref, the reduced row echelon form, as a rank revealing matrix factorization. I discussed CR in a pair of posts in October. I now want to describe the CAB factorization, which uses rref twice in order to treat both rows and columns in the same way.

Gil and I are writing a review paper about these ideas, LU and CR Elimination. Here is a link to the current draft,

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我想分享一些具有MATLAB轴颜色顺序中的七种颜色的彩色图像。内容< / p > < a href = " # 09 f537d1 - 5 - fd0 - 4568 - 87 - b3 - abfa7993fde4”>颜色顺序< / > < a href = " # cf52bfe0-b6c1-42ba-b686-c4108673cf06 " >名称颜色< / > < a href = " # 824 f5f82 - 630 - c - 407 d - b5e8 - 2 c9791ff0d79”>线情节< / > < a href = " # 4 eea1281 - 3 - df2 - 4874 - 8 f2f - 9 - d104622926c”>富兰克林的魔法< / > < a href = " # 10 d55d7d e5f3 - 4122 - 99 - b9 c85af1328bc2 " > < / >颜色的时候了order show_rgb(get(gca,'colororder')) Name that color

The Sherman-Williams Visualizer provides names for these colors.

MATLAB cycles through the colors for line plots and other graphics objects.

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我的朋友Paul Saylor 于11月7日去世。< / p > < p > < / p >内容< a href = " # 81 d53bed-1b3a-4daf-a049-ef79e60f7ead " >伊利诺伊大学< / > < a href = " # 641 cd599-8ba2-42d9-8e5a-1bbfd6778fe9 " >教授< / > < a href = " # 5 b740c91 ad84 - 485 d - b121 348 - cf0f59b5a”>数值相对论< / >伊利诺伊大学<名称= " 81 d53bed-1b3a-4daf-a049-ef79e60f7ead " > < / > < p >保罗34年后退休教授of Computer Science at the University of Illinois in Urbana-Champaign. He was 81 years old. He was born in May 1939, just three months before me.

My friend Gene Golub was an alumnus of the University of Illinois and a longtime friend of Paul and his wife Cynthia. Gene endowed a professorship at his alma mater, the

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我喜欢使用来自美国人口普查的数据作为曲线拟合的例子。三年前，我在MathWorks News & and in this blog。现在是更新的时候了。

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