"note that" 经常在英语中看见note that这个短语,而汉语中好象没有太确切的翻译.请问下句中的note

英语翻译
just for your information,please note that,CREE ‘s supply chain program is on-hold now,the order placement is based on back to back order.

英语翻译
It is significant to note that,excluding the boxes in the Serapeum and the interiors of the coffers in Kufu's and Khafre's pyramids,some of the precise artifacts I have studied and include in this book were not finished to a high level ofpolish.Nor do they have the striations caused by a rough abrasive that could have been used to achieve the exact geometries they demonstrate.Creating a surface to precise geometry,whether the geometry is flat-line or circular,if performed by hand work,would require spot finishing-that is,attending to areas that require the discreet removal of material to achieve their final,precise shape.It is surprising,therefore,to find surfaces that are finished to within 0.001 inch (0.0254 millimeter) that do not exhibit any signs ofpolish at all.Having produced precision surfaces by hand finishing and with machine-guided tools,when I examine surfaces created by the ancient Egyptians,it is clear to me that machines were involved in their creation.

Note that（放在句首）是什么意思?
例如：Note that,because the analysis is based on dual-task costs over and beyond unimanual RTs,these effects must result from interactions between simultaneously produced responses.
Note that怎么翻啊?

数学证明中 note that是什么意思
英文数学教材在证明的过程中，
suppose xxxx，
then xxx
note that xxxx
therefore xxxx
这个note that用中文应该怎么理解

英语翻译
1.please note that 5% more or less both in quantity and value is acceptable,
2.all the claim will be handled before cutting.
3.other clause follow the international contract for hide and skin - No.seven
4.Mimosa makes no warranty of any kind expressed or implied,written or oral or statutory of merchantability or fitness for a particular purpose.
5.please sign back the proforma invoice within three days as confirmation of order as per above terms.
6.please T/T funds according to the following bank information.