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Do I need a wordpress theme or a wordpress plugin to handle all these?<br />
We feel some or all of the features of gravityforms.com, wptables.com, and magicmembers.com, &nbsp;can do what we need, but we’re finding it hard to understand how they’ll work together. Please help and advice on the best way that all these requirements can work with wordpress.<br />
A 3 page report with relevant images is attached that explains everything in detail. <a href="https://filedb.experts-exchange.com/incoming/2011/10_w42/510760/Wordpress-Option.docx" target="_blank" class="file-inline" title="wordpress matrix problem description (745 KB)"><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><path d="M67.508 468.467c-58.005-58.013-58.016-151.92 0-209.943l225.011-225.04c44.643-44.645 117.279-44.645 161.92 0 44.743 44.749 44.753 117.186 0 161.944l-189.465 189.49c-31.41 31.413-82.518 31.412-113.926.001-31.479-31.482-31.49-82.453 0-113.944L311.51 110.491c4.687-4.687 12.286-4.687 16.972 0l16.967 16.971c4.685 4.686 4.685 12.283 0 16.969L184.983 304.917c-12.724 12.724-12.73 33.328 0 46.058 12.696 12.697 33.356 12.699 46.054-.001l189.465-189.489c25.987-25.989 25.994-68.06.001-94.056-25.931-25.934-68.119-25.932-94.049 0l-225.01 225.039c-39.249 39.252-39.258 102.795-.001 142.057 39.285 39.29 102.885 39.287 142.162-.028A739446.174 739446.174 0 0 1 439.497 238.49c4.686-4.687 12.282-4.684 16.969.004l16.967 16.971c4.685 4.686 4.689 12.279.004 16.965a755654.128 755654.128 0 0 0-195.881 195.996c-58.034 58.092-152.004 58.093-210.048.041z"/></svg>Wordpress-Option.docx</a>
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Wordpress-Option.docx

Do I need a wordpress theme or a wordpress plugin to handle all these?
We feel some or all of the features of gravityforms.com, wptables.com, and magicmembers.com,  can do what we need, but we’re finding it hard to understand how they’ll work together. Please help and advice on the best way that all these requirements can work with wordpress.
A 3 page report with relevant images is attached that explains everything in detail. 

Can wordpress handle this matrix program? If so, how?

WordPress is a free and open-source content management system (CMS) based on PHP and MySQL for creating websites and blogs. Features include a plugin architecture, a template system and strong management, customization and search systems; through its dynamic presentation of content, webmasters have the flexibility to create websites easily.

WordPress

PHP is a widely-used server-side scripting language especially suited for web development, powering tens of millions of sites from Facebook to personal WordPress blogs. PHP is often paired with the MySQL relational database, but includes support for most other mainstream databases. By utilizing different Server APIs, PHP can work on many different web servers as a server-side scripting language.

HTTPS is a protocol for secure communication over a computer network which is widely used on the Internet. HTTPS consists of communication over Hypertext Transfer Protocol (HTTP) within a connection encrypted by Transport Layer Security (TLS) or its predecessor, Secure Sockets Layer (SSL). The main motivation for HTTPS is authentication of the visited website and to protect the privacy and integrity of the exchanged data. HTTPS is widely used for protecting page authenticity on all types of websites, securing accounts and keeping user communications, identity and web browsing private.