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Radius of a black hole for relativity and Newtonian mechanics

For Newtonian mechanics The Schwarzschild radius is the radius of the event horizon of a black hole. Amazingly, we can compute it with Newtonian mechanics, which is explained below. Consider a big mass M which creates the gravitational acceleration a for a small mass m at the distance r from M, see figure 1 and...




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Computing orientation with complex multiplication but without trigonometric function

Today’s methods for computing orientation are quaternion and rotation matrix. However, their efficiencies are tarnished by the complexity of the rotation matrix and the counterintuitivity of quaternion. A better method is presented here. It uses complex multiplication for rotating vectors in 3D space and can compute orientation without angle and trigonometric functions, which is simple,...




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Extending complex number to spaces with 3, 4 or any number of dimensions

Multidimensional complex systems with 3, 4 or more dimensions are constructed. They possess algebraic operations which have geometrical meanings. Multidimensional complex numbers can be written in Cartesian, trigonometric and exponential form and can be converted from one form to another. Each complex numbers has a conjugate. Multidimensional complex systems are extensions of the classical complex...




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Step by step rotation in normal and high dimensional space and meaning of quaternion

The orientation of body in space is defined 3 by angles. The step by step rotation process and chain of three-dots multiplication give an easy way to compute pile of rotations in 3D and high dimensional space and give a general orientation system. A visualization of quaternion is proposed. The orientation of a rigid body...




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Relativistic dynamics: force, mass, kinetic energy, gravitation and dark matter

Special relativity does not deal with acceleration, general relativity does not deal with non gravitational acceleration, which leave the theory of relativity imperfect. We will demonstrate some relativistic dynamical laws that specify relativistic acceleration, force and kinetic energy. Also, based on equivalence principle does gravitational mass vary with inertial mass? Newtonian kinematics defines motions of...




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How galaxies make their rotation curves flat and what about dark matter?

The rotation curves of disc galaxies are flat and dark matter is speculated as explanation. Alternatively, the gravity of material disk could explain the flat curves. Using the gravitational force that a disk exerts on a body in the disk, we have computed the the rotation curves of disc galaxies and the curve of their...




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Gravitational time dilation and black hole

In this article, we derive the gravitational time dilation factor in a new manner, which allows us to identify the mathematical cause of Schwarzschild radius, to give a theoretical way to avoid it and to compute properties of black hole. General relativity effects are computed as simple as in special relativity. Observability of black hole...




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General equation for Space-Time geodesics and orbit equation in relativistic gravity

Orbit equation and orbital precession General Relativity explains gravity as Space-Time curvature and orbits of planets as geodesics of curved Space-Time. However, this concept is extremely hard to understand and geodesics hard to compute. If we can find an analytical orbit equation for planets like Newtonian orbit equation, relativistic gravity will become intuitive and straightforward...




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Riemannian ℤ₂ⁿ-manifolds

In a recent preprint Riemannian Structures on ℤ₂ⁿ-manifolds, Janusz Grabowski and I initiated the study of Riemannian geometry in the setting of ‘higher graded’ supermanifolds. ℤ₂ⁿ-manifolds are, very loosely, manifolds that have coordinates with a ℤ₂ⁿ-degree (ℤ₂ⁿ := ℤ₂ x ℤ₂ x … x ℤ₂, n-times) and are commutative up to a sign factor that...




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Estimating The Fractal Dimension of the Spiders of Mars

Above is an image of “dry ice spiders” on Mars. Every spring the Sun warms up the Martian south polar icecap and causes jets of carbon-dioxide gas to erupt through the icecap. These jets carrying dark sand into the air and spraying it for hundreds of feet around each jet forming these wonderful spider-like structures....




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More fun with IFS Fractals

I have been playing with some iterated function systems again. These images were built using two affine transformations, one being a rotation through 20 degree composed a scaling of 90% and the second is a general affine transformation chosen at random. Some of the best of these results I have attached here. I have added...




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Explaining Oumuamua and Pioneer anomaly using Time relativity

I find that in theory the weird Speed Boost of the interstellar object ‘Oumuamua should be 0.217 mm/s above the prediction and that ‘Oumuamua should slow down less than prediction, in proportion of which the difference is 4.28×10-8 near the Sun. For Pioneer anomaly I have computed the gap between real and predicted acceleration and...




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Thoughts on Getting Hired as a UX Designer

How do you define UX design? User experience design (UX, UXD, UED or XD) is the process of enhancing user satisfaction with a product by improving the usability, accessibility, and pleasure provided in the interaction with the product. User experience design encompasses traditional human–computer interaction (HCI) design, and extends it by addressing all aspects of […]




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How Does Google+ Social Signals Effect Websites and Posting’s?

Okay, recently there has been some discussion surrounding the Google Authorship and Publisher topic. So I figured what a great time to cover another article for the topic since it has been part of an update being done for some websites I am working on. First off, there has been some more talk about the […]




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Our SEO Blog in Review for 2013 – WordPress

The WordPress.com stats helper monkeys prepared a 2013 annual report for this blog. Here’s an excerpt: A New York City subway train holds 1,200 people. This blog was viewed about 6,600 times in 2013. If it were a NYC subway train, it would take about 6 trips to carry that many people. Click here to […]




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How to Create Video Sitemap Code to get Better Video Results

Well, let me start off by saying thing’s have been busy since the last post back in early November. Most of my time and focus has been spent updating websites to HTML5 code. So my apologize for the long delay of writing. There is still plenty of updating to complete so it could be a […]




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Looking for the Best SEO Directory Inclusion Services for Your Website?

Directory Inclusion Service : A large percentage of the world is using the internet for a variety of thing’s nowadays. Because of this a large number of directories have been created in effort to generate revenue and localization for websites to be categorized into easily searchable databases that list different websites. Search engines have made […]




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How to Create a Custom Google+ Vanity URL

Well by now you probably know about the new Google+ feature available for Google+ users. But if you are not aware of it yet or you are not able to get your custom vanity URL yet, keep this post on hand or return when your profile is approved by Google for the new vanity URL […]




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Free Sitemap Creation, Validation and Submission

Free Sitemap Creation Considering all the available resources for creating sitemaps, this one is the best around as far as I am concerned. I personally have tinkered around with several sitemap programs and multiple sitemap generators online. Some charge for these services but there are plenty of free resources available online. The option is yours. […]




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How to Prevent Your own Visits on Google Analytics?

Recently, I implemented some changes to the source code that allowed visits to not be recorded by the developers and designers visiting a clients website.  These visits when recorded are producing false results in the Google Analytic accounts. In light of these recorded events, it seemed to me that the information was not giving an […]




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How can Geo-Targeting Help Businesses

What is Geo-Targeting? This is a form of location specific targeting where you literally choose specific locations to market your services or products too. A simple way to understand this objective is to think of it as local listing services that show local results in the search engines. But the main difference is that you […]




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How to Increase Traffic to Your Website With Images and Sitemaps

Our Blogging Delay Update First off, if anyone who is a subscriber has been wondering why the news letter has been the same for about two months now, it has been because of being extremely busy. There has been an extensive amount of work being completed elsewhere for another company over the last few months. […]




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What do you do When Project Budgeting is a Constraint for Your Company?

Have you ever declined possible clients because of low budgeting, such as a few hundred dollars a month because they want top placement but not willing enough to pay for it. How about possible projects where the client believes top ranking placement is the only measuring factor for their online business? O’, here is another […]




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Ten Best SEO Practices to Follow to Help Your Business

The Problem Recently an individual was trying to understand why their website had been dropped from the search engine results. There are several factors that can cause your website to lose placement completely or drop significantly enough that you may need to search several pages back in the results to find your site again. There are […]




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New Website Design & Development From Link Worx Seo

What has the Agenda Been Like Okay, recently there have been significant changes going on behind the scenes for the company. Not only has the company created new added features to the custom content management system, a new invoice system has been created as well. The new editions to the system required some intensive Cold […]




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How to Improve Your NAP for Better Local Placement

Okay, Hopefully you are Awake.  The article is for sure helpful, especially if you are looking to increase your SEO Local presence.  Some simple strategies for finding out more about your competition is to just simply locate the competitors on the local 7-Pack listing in the results and copy and past the address in the […]




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Are you Claiming Your Web Content to Prevent Duplicated Articles?

First thought that comes to mind. Try making use of the rel=author attribute. For example: a WP blog allows for authorship as well as sites like BloggerSpot and ArticlesBase.com. From experience it would seem that when sites are joined or for a better term utilized as assets to help the later of the sites, duplicate […]




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Are you Ready for the Next Round of EMD Updates?

Empowering Spam While this may seem like a good ideal, I believe it to be a problem at this point. Could be wrong, but it would seem that these domain names are targeting keywords and not so much opening the door to new domain names for businesses. Of course as you may or may not […]




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Which way is Better – External Blog or Internal Blog?

Blogging and SEO Results Currently I am testing out both of the theory’s myself. I have two websites that utilize the content on blogs externally and another site that does not use an external blog for content for the main websites. I use the content from these two external blogs by pulling the content from […]




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The Google web Directory Smack Down – The Good the bad the Ugly

Why can Google just not index these web directories they believe to be not so worthy? Google can still let company’s submit to directories but do not have to index these directories. Sure Google can still then chose which ones are valid or not.  So what is now considered an honest legitimate directory for safe […]




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How to Handle Cold Fusion Errors – onError() Function and More

After lots of research surrounding the onMissingTemplate() function, cflog, and creating a custom error log, it became very event that the information you have would be great, I say great except; a server issue…. Source: Colorblind Programming <cfsetting showdebugoutput=”no” requesttimeout=”200″ /> <cfoutput> Server.ColdFusion.RootDir=#Server.ColdFusion.RootDir# <!— quick and dirty way of getting the file separator —> <cfif find(‘/’,Server.ColdFusion.RootDir)> […]




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A Helpful Purchase Guide on Website Domain Names Before Expiration

This is some information I compiled surrounding domain names being purchased or expiring. I came across this on Google while doing some research on domain names and link building. Domain names that are expired are given a page rank (PR) of zero once they are expired. Now there are some time stipulations set on domain […]




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Spreading the Word of Your Web Blog by Social Networking

Making use of Twitter I have spent hours on end gaining contacts for Twitter. You may become discouraged when you first get started trying to establish contacts/followers but persistence will pay for itself eventually. Like any good search engine optimization you must maintain a constant campaign to prove to be effective. Social media marketing is […]




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Is Social Marketing Forcing Business Websites to Disappear?

Why do you Place Social Buttons on a Website? During a discussion on LinkedIn, a gentleman posed the question about not being able to understand the reason social media buttons are on main business websites. I thought it might be nice to cover some of the main purposes of social media strategies and what can […]




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Do Natural Organic Positions and AdWord Postions Work Interactively?

How Organic Placement is Affected Some people seem to be hell-bent on believing that it matters. There is no problem with believing it does have a direct effect on organic placement, but the fact of the matter is; it does not. Although you are entitled to believe what you want to believe, but knowing whether […]




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Duplicated Web Content – Google Authorship and Article Directories

The Role of Google Authorship If you are the author of the article, can Google tell the difference when using article submission services? The facts point to no at this point, but there are more and more sites starting to follow the same authorship standard and business site verification standards. With authorship being more common […]




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Hire a In-House SEO Manager or Outsource Your SEO Work?

Importance of Selection Choosing the correct SEO firm to perform the daily activities of optimization is an all to important investment in today’s modern world of technology. As an Internet Marketer, measuring the success of an SEO campaign can be measured in several way’s, such as web analytic, phone tracking, cash flow, conversions and more. […]




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What did you Learn During 2012? – Success or Failure

What was Learned? I can not say 2012 has been the best of years to this point, while at the same time several new thing’s have been picked up this year though. Some of the primary thing’s I picked up this year were new techniques pertaining to the SEO industry, time management and Cold Fusion […]




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How to Use Twitter Hashtags: A Simple Guide

Making use of the Hashtag for Twitter You probably already have a twitter account up and running for your business. If not, you may want to consider one now. Twitter is a great platform for sharing links to your site and it’s also a great way to connect with your customers on a more personal […]




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What is the Difference Between a Paid Listing and Buying a Link?

Paid listings and Pay per Click ads are not the same as buying links. For example, iAquire got hit by Google early this year. The company was selling links for profit of course and even lost their court case due to link selling. The company allowed for clients to pay for relevant links after companies […]




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What are Some of the Benefits of Video Marketing and Optimization?

Video Marketing Video marketing is a widespread choice for businesses now a day’s. With increasing market tactics and gaining popularity, video marketing is an aspect of not just SEO, but a solid way to get your message across to your subscribers. Creating a video marketing plan is a great way to find new customers and […]




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Unplugging With SmallBox Web Design

How did you feel? Well, considering I spent almost no time doing anything but working on the business, this is sorta a tough one to answer. Most of the time when I want to unplug I may disappear for an entire weekend to get away from the daily work habits that flow over into the […]




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How to win the war Against Black Hatters and Spam

Free is Killing the Internet This is because of fake accounts on Facebook, Google, Pinterest, LinkedIn, Twitter and blogs which are the main source of the problem. These company’s should join Google and Bing by creating structured data. We will not even get into the scams and spammers coming from fake e-mail accounts on Yahoo! […]




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Spamming is out of Control Because of Cheap Blogs, Link Building and Cheap SEO Company’s

Blog Creation for Link Building In the effort to create links for back link profiles and more results, individuals and companies have resorted to tactics of duplicate profile creation, multiple fake profiles and an unsurpassed amount of blog sites with little or no use to anyone looking to gain valuable information. Some examples are WordPress […]




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How Color Scheme, CTA’s and Web Design Affect Website Visitors

Overall Added Value As a Web Designer, Programmer and SEO Specialist it all goes hand and hand for the most part. Knowing your target country or audience can aid in the delivery of your message and what you are trying to accomplish. The design and layout are for sure areas that go overlooked and under […]




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Are Social Media Share Buttons Needed on Every Webpage?

Having the availability to share your content is always a plus, especially if it brings value to the reader. There are other reasons as well. Some will bookmark or share a site for purpose of just liking you or for the option to go back to it at a later time and date. They maybe […]




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Engineering the Correct SEO Strategy for Today’s Market

With the internet changing everyday staying on top of new trends and changes surrounding SEO should be a top priority of any professional SEO Company. Within the last year or more the SEO industry has changed immensely. Some of these changes include the Panda and Penguin filters and the recent changes of the exact match […]




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The Current History of the Google Panda Releases

You Should Create Unique Content From Panda’s initial launch Google has been gradually updating the algorithmic formula for the Panda. These changes have been aimed at reducing content duplication primarily while allowing for better returns for searchers when searching Google. Quality content can not be stressed enough. Panda filters out the low quality content on […]




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How Canonical URL’s Effect Search Indexing

Avoiding Duplicate URL’s From Being Crawled The canonical tag was introduced in 2007 and tells the search engines what should be indexed. By allowing the search engines to know the preferred page it eliminates duplicate page indexing. E-commerce or large websites usually run into more issue’s surrounding duplicate indexing problems. This is due to multiple […]




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Instructions on how to Link a Google+ Profile to Content Created

Linking yourself as an author to your content is relatively easy. If you do not have a Google+ profile created yet, start with by creating one. Next, on your header section of your HTML place the <link href=”[profile_url]” rel=”publisher” /> as this will notify Google you are the publisher of the content. After placing this […]