Find the sum of the binomial series given for $ n> 3 $

We are given that $ n> 3 $ and we have to find the sum of the series given by:
$$ S = xyz binom {n} {0} – (x-1) (y-1) (z-1) binom {n} {1} + … + (- 1) ^ n (xn ) (yn) (zn) binom {n} {n} $$

I understand that the general term is $$ t (r) = (- 1) ^ r (x-r) (y-r) (z-r) binom {n} {r} $$ but i don't see any obvious manipulation between the terms and no particular series comes to mind.

Can anyone provide an approach? Any help would be appreciated.

time series analysis – an algorithm for detecting whether noisy univariate data is constant or is the sum of step functions

In an explicit algorithm that I write, there is a certain step where I need to determine whether or not certain noisy univariate data are constant or are the sum of the step functions.

For example, define foo as the algorithm I'm after (write in python):
affirm foo ((0) * 20) == False
affirm foo ((0) * 20 + (1) * 20) == True
affirm foo ((0) * 20 + (5) * 30 + (1) * 70) == True

  • The data in the examples is not noisy, but let's assume that the real one is (just a little, one can determine where a step could take place by observing the plotting of the data.

I would be happy to hear ideas, thanks.

real analysis – Absolute divergence of the alternating series

Prove it $ sum_ {n = 1} ^ { infty} $ $ frac {(- n) ^ {n}} {(n + 1) ^ {n + 1}} $ conditionally converges.

I was able to prove that the series converges normally. But when it comes to the absolute series, I find it hard to show divergences. I tried to compare it with the Harmonic series ($ sum_ {n = 1} ^ { infty} $ $ frac {1} {n} $) that I know diverges. But the series turns out to be smaller; therefore, the comparison test fails. The root and ratio tests are not conclusive either because the value I get with the first one is $ alpha = 1 $. Do you have any advice?

Windows Applications – Siemens NX 1904 Build 1920 (NX 1899 Series) | NulledTeam UnderGround

Siemens NX 1904 Build 1920 (NX 1899 Series) | 14.7 GB
Languages: English, 中文, Čeština, Español, Français, Deutsch, Italiano,
日本語, 한국어, Polski, Português, Русский

The Siemens PLM Software team is pleased to announce the availability of NX 1904 Build 1920 (NX 1899 Series). The latest version of NX brings important new and improved features in all areas of the product to help you work more productively in a collaborative managed environment.

Siemens NX 1904 Build 1920 (NX 1899 Series) Release Notes – Date: February 2020
– 8441216 – Internal error when using the deletion template
Siemens NX software is a flexible and powerful integrated solution that helps you deliver better products faster and more efficiently. NX offers the next generation of design, simulation and manufacturing solutions that enable businesses to realize the value of the digital twin.
Taking care of all aspects of product development, from conceptual design to engineering and manufacturing, NX offers you an integrated set of tools that coordinates disciplines, preserves data integrity and design intent, and streamlines the whole process.
Siemens became the first major CAD / CAM / CAE supplier to deliver its software using the continuous publishing methodology in January 2019. The new continuous publishing process significantly reduces the time between proposing a further improvement and its deployment to end users. Customers will now have the ability to deploy the latest NX productivity improvements faster in their production environment, which will help them become more productive when using NX. In addition, the continuous version will also reduce the costs of deploying incremental updates.
Adopting a continuous publishing strategy also allows Siemens NX and our customers to be more responsive to new ideas and technology trends, thereby allowing our customers to stay on track. ahead of their competitors.
NX 1899 – Improved pattern design

Siemens PLM software a business unit of Siemens' Digital Factory division, is one of the world's leading providers of Product Lifecycle Management (PLM) and Manufacturing Operations Management (MOM) software, systems and services with more 15 million licenses and more than 140,000 customers worldwide. Based in Plano, Texas, Siemens PLM Software works with customers to deliver industrial software solutions that help businesses around the world achieve sustainable competitive advantage by bringing the innovations that matter.
Product: Siemens NX
Version: 1904 Build 1920 (NX 1899 Series) *
Supported architectures: x64
Website home page:

Language: multilingual
Required configuration: PC **
Supported operating systems: **
Cut: 14.7 GB

Siemens.NX.1904.1920.Win64.Update.Only.iso (pre-installation NX 1899)
Files saved in the NX-1899 series (NX-1899 and higher) cannot be opened in the NX-1872 series (NX 1872-1892) and lower versions of the NX

Minimum operating systems
– Microsoft Windows 10 (64-bit) Pro and Enterprise Editions
Windows 10
Windows 10 is the minimum supported version for NX 1899. The supported versions of Windows 10 are the Pro and Enterprise editions using SAC (Semi-Annual Channel) updates.
Windows 7 and 8.1
Windows 7 has reached the end of its service life and standard support has ended. Windows 8.1 is still supported by Microsoft, but has rarely been deployed. These two versions of Windows are no longer supported by NX 1899. The Siemens PLM software has not performed any tests on these versions and cannot solve any problem linked to the execution of NX 1899 on these systems. # 39; operating.
Windows XP and Vista
Microsoft's support for Windows XP has ended and Vista has rarely been deployed, so these two versions of Windows are not supported by NX 1899. Siemens PLM Software has not tested these versions and cannot resolve any issues related to running NX 1899 on these operating systems.
Recommended system requirements:
– Windows 10 64-bit operating system
– 4 GB RAM minimum, 8 GB or 16 GB RAM recommended
– True Color (32 bit) or 16 million colors (24 bit)
– Screen resolution: 1280 x 1024 or higher, wide screen format

Recommend Hight Speed ​​download link | Please say Thank you Keep the subject live

Sequences and Series – Need Help Solving Grade 5 5-Point Questions

Peace. I know I won't learn this way, but we haven't had much time to prepare for the test.
It will start at 12 noon. Anyone who can help and resolve some of the questions will really help me. Please help me, I haven't done any exercise for this and I don't want to go down to 5 points.
Send me a message in detail … Thank you.

This is the eleventh grade 5 units

complex analysis – A problem of convergence radius of power series

Problem: suppose $ {a_n } _ {n = 0} ^ ∞ $ converge monotonously to zero, and $ z in mathbb {C} $. We have the Power series $ sum_ {n = 0} ^ ∞ a_n z ^ n $, and its radius of convergence is $ R $. Show that (i)$ R geq 1 $ (ii)$ sum_ {n = 0} ^ ∞a_n z ^ n $ is convergent for each $ z $ in $ partial B (0, R) backslash {R } $

Will an Olympus TCON-17X teleconverter work on a Fujifilm X100 series camera?

The only way to know what's going to happen is to try it.As you say, "connection shouldn't be a problem", just use a 49-55 riser ring. However, the lens is 23mm, so the ring can be seen along the edges of the frame.

Hoist rings are fairly inexpensive, so if you already have the adapter and converter, you can go ahead and try it out. If not, consider that you will probably have a much better experience using the native FujiFilm converters:

  • WCL-X100 II wide conversion lens – 0.8 ×, 23 mm → 19 mm
  • TCL-X100 II conversion telephoto lens – 1.4 ×, 23 mm → 33 mm

Binomial series problem

Prove it
$ lim_ {n to infty} $[[$ sum_ {i, j} $$ {2i choose i} $$ {2j choose j} $]$ ^ {1 / n} $= 4
such as, $ i + j = n $
and $ 0 le i, j le n $
My idea was to first summarize the series when $ i <j $ and when $ j <i $.
But I cannot continue.

sequences and series – Clarification on the topological proof of Ferstenburg "Infinitude of Primes"

I am fairly new to topology and am particularly interested in gaining an intuitive understanding for the following proof:

enter description of image here

I wonder if anyone could slow down the sequence of thoughts here so that I can put the puzzle together more. For example:

  1. In what sense is the topology described "metriable"

  2. How arithmetic progressions $ (- infty, infty) $ to be both open and closed (and I don't really understand why this is implied via the complement of the union). Therefore, why does this imply the closure of finite progressions?

  3. How does all of this help build the picture of the final conclusion.

I "agree" with the basics of topology / measurement theory / diff. geo – just in case you need to assess how much you need to tailor the answer.

unity – Can anyone provide me with a series of tutorials of a stealth game in first person?

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